{"id": "v4x_test_extrapolation_00000000", "prompt": "Find x: x + 7235 = -19(x - 1379) - 15266", "solution_steps": ["Expand: x + 7235 = -19x + 26201 - 15266", "Combine constants: x + 7235 = -19x + 10935", "Add 19x to both sides: 20x + 7235 = 10935", "Subtract 7235 from both sides: 20x = 3700", "Divide both sides by 20: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7235 = -19(x - 1379) - 15266", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7235, \"b\": -19, \"c\": 1379, \"e\": -15266, \"x\": 185}", "seed": "580295880115709397", "semantic_fingerprint": "sha256:e76e57f845dfba9e42aea7861dae5eb39e4d82ec65dfe4f929f73a95096a0f60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000001", "prompt": "Calculate: 5097 / 96246", "solution_steps": ["Divide: 5097 / 96246 = 1699/32082"], "final_answer": "1699/32082", "answer_type": "rational", "kind": "expression", "math_text": "5097 / 96246", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5097, \"b\": 96246}", "seed": "13979892205765223384", "semantic_fingerprint": "sha256:03ac159d38f423ac4b69569d714025c23e8a59228a420d5c84d424d33b059112", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000002", "prompt": "What is 1538 * (-5019) * (47848 - 27597)?", "solution_steps": ["Multiply: 1538 * (-5019) = -7719222", "Subtract: 47848 - 27597 = 20251", "Multiply: -7719222 * 20251 = -156321964722"], "final_answer": "-156321964722", "answer_type": "integer", "kind": "expression", "math_text": "1538 * (-5019) * (47848 - 27597)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1538, \"b\": -5019, \"c\": 47848, \"d\": 27597}", "seed": "1303753507389858399", "semantic_fingerprint": "sha256:7576390ff217e4926d09f88580be3a5229b029e92d8acc0543db664d309f26d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000003", "prompt": "Evaluate: -3773 + (21926 - (-43968) / 1572)", "solution_steps": ["Divide: -43968 / 1572 = -3664/131", "Subtract: 21926 - (-3664/131) = 2875970/131", "Add: -3773 + 2875970/131 = 2381707/131"], "final_answer": "2381707/131", "answer_type": "rational", "kind": "expression", "math_text": "-3773 + (21926 - (-43968) / 1572)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3773, \"b\": 21926, \"c\": -43968, \"d\": 1572}", "seed": "7836663118383219245", "semantic_fingerprint": "sha256:d64cd3ae8cbdf70bbe48a8f65a177a2ea421363bd882888d475c88785802f9c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000004", "prompt": "Solve the equation x - 94634 = -94662 for x.", "solution_steps": ["Add 94634 to both sides: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 94634 = -94662", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94634, \"c\": -94662, \"x\": -28}", "seed": "17969967420568496895", "semantic_fingerprint": "sha256:93233b59455ddaefb01eb00f725b342fd5f50e7aa31c56dcb43b8e718ace0090", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000005", "prompt": "Compute: 2081 - (-60684 + 99905 / 8018)", "solution_steps": ["Divide: 99905 / 8018 = 99905/8018", "Add: -60684 + 99905/8018 = -486464407/8018", "Subtract: 2081 - (-486464407/8018) = 503149865/8018"], "final_answer": "503149865/8018", "answer_type": "rational", "kind": "expression", "math_text": "2081 - (-60684 + 99905 / 8018)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2081, \"b\": -60684, \"c\": 99905, \"d\": 8018}", "seed": "3567222092851854140", "semantic_fingerprint": "sha256:d52c5220398d87d0156e00ac38d7995970751a197e37c231c878768594bd66b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000006", "prompt": "Evaluate: (3796 + 81845) / (-9325)", "solution_steps": ["Add: 3796 + 81845 = 85641", "Divide: 85641 / (-9325) = -85641/9325"], "final_answer": "-85641/9325", "answer_type": "rational", "kind": "expression", "math_text": "(3796 + 81845) / (-9325)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3796, \"b\": 81845, \"c\": -9325}", "seed": "7282388197985159662", "semantic_fingerprint": "sha256:8998f149e5e2f3bed0812447f881f8e91ae9549144bdb01789bb8d6bd9806fa4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000007", "prompt": "Solve the equation -38(x + 8374) = -27x - 9503 for x.", "solution_steps": ["Expand: -38x - 318212 = -27x - 9503", "Add 27x to both sides: -11x - 318212 = -9503", "Add 318212 to both sides: -11x = 308709", "Divide both sides by -11: x = -308709/11"], "final_answer": "-308709/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 8374) = -27x - 9503", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 8374, \"c\": -27, \"d\": 9503}", "seed": "11690049177267388402", "semantic_fingerprint": "sha256:3da351bfc3e83baed0185e5f3a55bdfda6c439d45c7ec8db2307db67cef1929b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000008", "prompt": "Calculate: 87416 - (-2965) * (-4513)", "solution_steps": ["Multiply: -2965 * (-4513) = 13381045", "Subtract: 87416 - 13381045 = -13293629"], "final_answer": "-13293629", "answer_type": "integer", "kind": "expression", "math_text": "87416 - (-2965) * (-4513)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87416, \"b\": -2965, \"c\": -4513}", "seed": "16331637198523034539", "semantic_fingerprint": "sha256:c6b52ff0dbf57735c03c08d57cbc28a0b4454d7df8f73e22380d31a4db83dad1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000009", "prompt": "Calculate: 4211 - (70578 - (-4350)) / 7624", "solution_steps": ["Subtract: 70578 - (-4350) = 74928", "Divide: 74928 / 7624 = 9366/953", "Subtract: 4211 - 9366/953 = 4003717/953"], "final_answer": "4003717/953", "answer_type": "rational", "kind": "expression", "math_text": "4211 - (70578 - (-4350)) / 7624", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4211, \"b\": 70578, \"c\": -4350, \"d\": 7624}", "seed": "10796719523292916043", "semantic_fingerprint": "sha256:e1f19de73ebbf8155774d4930670e48e2959789e5b95a4496fd866869f2d4fa2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000010", "prompt": "What is -14558 * (-5353) * (-9384)?", "solution_steps": ["Multiply: -14558 * (-5353) = 77928974", "Multiply: 77928974 * (-9384) = -731285492016"], "final_answer": "-731285492016", "answer_type": "integer", "kind": "expression", "math_text": "-14558 * (-5353) * (-9384)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -14558, \"b\": -5353, \"c\": -9384}", "seed": "1545018547680932657", "semantic_fingerprint": "sha256:84fbc5a923adc6ed26fa8b40f4fd0e42dce020941fa84c1899c801a995c6c702", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000011", "prompt": "Find x: -14x + 4366 = 1804", "solution_steps": ["Subtract 4366 from both sides: -14x = -2562", "Divide both sides by -14: x = 183"], "final_answer": "183", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x + 4366 = 1804", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 4366, \"d\": 1804, \"x\": 183}", "seed": "17246410183637453288", "semantic_fingerprint": "sha256:5c85ccf496f8544c5bb183bdf6477535a0b8c721b9574913e05371e66d78becb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000012", "prompt": "Find x: 19(x + 2362) - 45274 = x", "solution_steps": ["Expand: 19x + 44878 - 45274 = x", "Combine constants: 19x - 396 = x", "Subtract x from both sides: 18x - 396 = 0", "Add 396 to both sides: 18x = 396", "Divide both sides by 18: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 2362) - 45274 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2362, \"d\": -45274, \"x\": 22}", "seed": "8887165184883310044", "semantic_fingerprint": "sha256:9ce260f67db949cdf04445f6fbde396c4a1534ecabc0a3bb0a9b68a3731f7817", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000013", "prompt": "Calculate: (50641 + (-67198)) / 45736", "solution_steps": ["Add: 50641 + (-67198) = -16557", "Divide: -16557 / 45736 = -16557/45736"], "final_answer": "-16557/45736", "answer_type": "rational", "kind": "expression", "math_text": "(50641 + (-67198)) / 45736", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50641, \"b\": -67198, \"c\": 45736}", "seed": "17612299180438820994", "semantic_fingerprint": "sha256:41035a53c867b13d724e7fb2570ca4a9fad4fd0afdb2baaf6d62f18e2749a23e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000014", "prompt": "What is 2158 * (-9870) / 6424?", "solution_steps": ["Multiply: 2158 * (-9870) = -21299460", "Divide: -21299460 / 6424 = -5324865/1606"], "final_answer": "-5324865/1606", "answer_type": "rational", "kind": "expression", "math_text": "2158 * (-9870) / 6424", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2158, \"b\": -9870, \"c\": 6424}", "seed": "7920546385647835835", "semantic_fingerprint": "sha256:04da0ee752a016b55cdff64365b38eef0867a851472f12d58c8bbe555df48944", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000015", "prompt": "Solve the equation 39x + 4621 = 25(x - 5176) - 36300 for x.", "solution_steps": ["Expand: 39x + 4621 = 25x - 129400 - 36300", "Combine constants: 39x + 4621 = 25x - 165700", "Subtract 25x from both sides: 14x + 4621 = -165700", "Subtract 4621 from both sides: 14x = -170321", "Divide both sides by 14: x = -170321/14"], "final_answer": "-170321/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 4621 = 25(x - 5176) - 36300", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4621, \"c\": 25, \"d\": 5176, \"e\": 36300}", "seed": "8367495525898334063", "semantic_fingerprint": "sha256:4282779361f20d5c7d1c59226e0c4de2db32e201e2c60761dc088ee8f54c0f0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000016", "prompt": "Compute: -1864 * (-4876 * (16473 + 3420))", "solution_steps": ["Add: 16473 + 3420 = 19893", "Multiply: -4876 * 19893 = -96998268", "Multiply: -1864 * (-96998268) = 180804771552"], "final_answer": "180804771552", "answer_type": "integer", "kind": "expression", "math_text": "-1864 * (-4876 * (16473 + 3420))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1864, \"b\": -4876, \"c\": 16473, \"d\": 3420}", "seed": "17698300579241814325", "semantic_fingerprint": "sha256:54f2f117a949c3ec5fd26f3c3ae79e4fe1321e5ea373aef2ed29c188caa16b39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000017", "prompt": "Solve the equation x + 27041 = 5176 for x.", "solution_steps": ["Subtract 27041 from both sides: x = -21865"], "final_answer": "-21865", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 27041 = 5176", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27041, \"b\": 5176}", "seed": "17432929257882917728", "semantic_fingerprint": "sha256:36e72573d68aface0b91a603937168b918bc1a4b92e14424bf23ad4044a8419d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000018", "prompt": "What is -1197 - 1719 + (80174 - (-29060) + 48479)?", "solution_steps": ["Subtract: -1197 - 1719 = -2916", "Subtract: 80174 - (-29060) = 109234", "Add: 109234 + 48479 = 157713", "Add: -2916 + 157713 = 154797"], "final_answer": "154797", "answer_type": "integer", "kind": "expression", "math_text": "-1197 - 1719 + (80174 - (-29060) + 48479)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1197, \"b\": 1719, \"c\": 80174, \"d\": -29060, \"e\": 48479}", "seed": "8016630251186130471", "semantic_fingerprint": "sha256:3755739fb68f6bc6ed2a0b580c76c47be05d4693a66bd6216f4beeecd9ff54e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000019", "prompt": "Evaluate: (2382 - (-9895 - 23727)) * 2708", "solution_steps": ["Subtract: -9895 - 23727 = -33622", "Subtract: 2382 - (-33622) = 36004", "Multiply: 36004 * 2708 = 97498832"], "final_answer": "97498832", "answer_type": "integer", "kind": "expression", "math_text": "(2382 - (-9895 - 23727)) * 2708", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2382, \"b\": -9895, \"c\": 23727, \"d\": 2708}", "seed": "15575537443451381499", "semantic_fingerprint": "sha256:cb07ebc9bb7e240aebf4b57cc146084b1959745160d442cb66fe8df0382bd3a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000020", "prompt": "Solve the equation 38x - 1424 = 22x for x.", "solution_steps": ["Subtract 22x from both sides: 16x - 1424 = 0", "Add 1424 to both sides: 16x = 1424", "Divide both sides by 16: x = 89"], "final_answer": "89", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x - 1424 = 22x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 22, \"d\": -1424, \"x\": 89}", "seed": "478043864157266411", "semantic_fingerprint": "sha256:a5c0f7116eec9ee01a694190e18a5d5e62fecdb6d728110bbed1d945449a0259", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000021", "prompt": "Calculate: (3404 + (5340 - (-50838 - (-3247)))) / (-86933)", "solution_steps": ["Subtract: -50838 - (-3247) = -47591", "Subtract: 5340 - (-47591) = 52931", "Add: 3404 + 52931 = 56335", "Divide: 56335 / (-86933) = -56335/86933"], "final_answer": "-56335/86933", "answer_type": "rational", "kind": "expression", "math_text": "(3404 + (5340 - (-50838 - (-3247)))) / (-86933)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3404, \"b\": 5340, \"c\": -50838, \"d\": -3247, \"e\": -86933}", "seed": "10254137756115851760", "semantic_fingerprint": "sha256:249e3722bbc4550fa0e064132bfda8188863b9e85b1553e843320bdd8ea3b985", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000022", "prompt": "Compute: -1743 * (22068 - (-7674))", "solution_steps": ["Subtract: 22068 - (-7674) = 29742", "Multiply: -1743 * 29742 = -51840306"], "final_answer": "-51840306", "answer_type": "integer", "kind": "expression", "math_text": "-1743 * (22068 - (-7674))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1743, \"b\": 22068, \"c\": -7674}", "seed": "6998358222868177273", "semantic_fingerprint": "sha256:59a8250d4fa56f9decb6c04b1671743a215915304007995b4d98104bdacec4c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000023", "prompt": "Find x: x + 96082 = -30x + 90378", "solution_steps": ["Add 30x to both sides: 31x + 96082 = 90378", "Subtract 96082 from both sides: 31x = -5704", "Divide both sides by 31: x = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 96082 = -30x + 90378", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96082, \"b\": -30, \"d\": 90378, \"x\": -184}", "seed": "2812911952534296449", "semantic_fingerprint": "sha256:a097da88023cd661c50277b1a5799d386aefd4603efaba567a35554f4d1f474d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000024", "prompt": "What is 1855 / (-84554)?", "solution_steps": ["Divide: 1855 / (-84554) = -1855/84554"], "final_answer": "-1855/84554", "answer_type": "rational", "kind": "expression", "math_text": "1855 / (-84554)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1855, \"b\": -84554}", "seed": "10874622656158122335", "semantic_fingerprint": "sha256:a1442f7115680606e907884fb0bd95834bd662f0bfd4163e75ed707e622bfbc9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000025", "prompt": "What value of x satisfies x + 8717 = -39(x - 5497)?", "solution_steps": ["Expand: x + 8717 = -39x + 214383", "Add 39x to both sides: 40x + 8717 = 214383", "Subtract 8717 from both sides: 40x = 205666", "Divide both sides by 40: x = 102833/20"], "final_answer": "102833/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8717 = -39(x - 5497)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8717, \"b\": -39, \"c\": 5497}", "seed": "16035848341318513974", "semantic_fingerprint": "sha256:c19b08db72b958b17ef6d7e73d18e28807c2dee3fbde7bc35a446e50a6220642", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000026", "prompt": "What value of x satisfies 16x = x - 5876?", "solution_steps": ["Subtract x from both sides: 15x = -5876", "Divide both sides by 15: x = -5876/15"], "final_answer": "-5876/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = x - 5876", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5876}", "seed": "16637157858847315565", "semantic_fingerprint": "sha256:7c5ab7f853e6a8c67586d88e200d8fe5403178eec6d624f596316ad73fbd2c10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000027", "prompt": "Compute: 4492 - (-96041 - (-7367) - 75266)", "solution_steps": ["Subtract: -96041 - (-7367) = -88674", "Subtract: -88674 - 75266 = -163940", "Subtract: 4492 - (-163940) = 168432"], "final_answer": "168432", "answer_type": "integer", "kind": "expression", "math_text": "4492 - (-96041 - (-7367) - 75266)", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4492, \"b\": -96041, \"c\": -7367, \"d\": 75266}", "seed": "13780033540027164533", "semantic_fingerprint": "sha256:e0d3ba155e61033a2533acf1cd8a22f380921aa652b3e67dfacd0ea5a1aadcbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000028", "prompt": "What is 1199 / (-6174) - 24334?", "solution_steps": ["Divide: 1199 / (-6174) = -1199/6174", "Subtract: -1199/6174 - 24334 = -150239315/6174"], "final_answer": "-150239315/6174", "answer_type": "rational", "kind": "expression", "math_text": "1199 / (-6174) - 24334", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1199, \"b\": -6174, \"c\": 24334}", "seed": "6662467041377000725", "semantic_fingerprint": "sha256:51f14b88ee3e35d40276a88ecdf81a8f6ed62a0965fdd366d850a76127970c3f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000029", "prompt": "Compute: 28722 * 26961", "solution_steps": ["Multiply: 28722 * 26961 = 774373842"], "final_answer": "774373842", "answer_type": "integer", "kind": "expression", "math_text": "28722 * 26961", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 28722, \"b\": 26961}", "seed": "4323764111543686114", "semantic_fingerprint": "sha256:9842c88e94b0f91a40a35a72e548dfe1830be413c17c54cda293afb4aadea1da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000030", "prompt": "Calculate: 33954 + 49319", "solution_steps": ["Add: 33954 + 49319 = 83273"], "final_answer": "83273", "answer_type": "integer", "kind": "expression", "math_text": "33954 + 49319", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 33954, \"b\": 49319}", "seed": "10260377226200769547", "semantic_fingerprint": "sha256:4edb4519e563d204c931aaef1e6992c7b425c92dddd480c60bd39af6ed8327f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000031", "prompt": "Evaluate: -6753 * (98061 + (3070 - (-46717 - 4029)))", "solution_steps": ["Subtract: -46717 - 4029 = -50746", "Subtract: 3070 - (-50746) = 53816", "Add: 98061 + 53816 = 151877", "Multiply: -6753 * 151877 = -1025625381"], "final_answer": "-1025625381", "answer_type": "integer", "kind": "expression", "math_text": "-6753 * (98061 + (3070 - (-46717 - 4029)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (- n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6753, \"b\": 98061, \"c\": 3070, \"d\": -46717, \"e\": 4029}", "seed": "6377942305210397877", "semantic_fingerprint": "sha256:f9f4912d5b4506784c2fadbaf9e35e3f43f04b87c22cf5e1eaf3f29737a68c11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000032", "prompt": "What value of x satisfies 32(x - 6543) = 37(x + 2744)?", "solution_steps": ["Expand: 32x - 209376 = 37(x + 2744)", "Expand: 32x - 209376 = 37x + 101528", "Subtract 37x from both sides: -5x - 209376 = 101528", "Add 209376 to both sides: -5x = 310904", "Divide both sides by -5: x = -310904/5"], "final_answer": "-310904/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 6543) = 37(x + 2744)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6543, \"c\": 37, \"d\": 2744}", "seed": "16960677734452798064", "semantic_fingerprint": "sha256:bd7a59769f52d2fc1ae32e7b99c87394c61d5e1333560bffa0208a6137c7df42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000033", "prompt": "Find x: 34(x - 36019) + 66760 = x", "solution_steps": ["Expand: 34x - 1224646 + 66760 = x", "Combine constants: 34x - 1157886 = x", "Subtract x from both sides: 33x - 1157886 = 0", "Add 1157886 to both sides: 33x = 1157886", "Divide both sides by 33: x = 385962/11"], "final_answer": "385962/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 36019) + 66760 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 36019, \"c\": 66760}", "seed": "3103345399944505601", "semantic_fingerprint": "sha256:43ffa3f89e7d1e18d1d6ffd01f39d04edf93bfd5aa463a962a963c48d3f6c4a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000034", "prompt": "Find x: x - 64676 = 16x", "solution_steps": ["Subtract 16x from both sides: -15x - 64676 = 0", "Add 64676 to both sides: -15x = 64676", "Divide both sides by -15: x = -64676/15"], "final_answer": "-64676/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 64676 = 16x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64676, \"b\": 16}", "seed": "2490576884477182643", "semantic_fingerprint": "sha256:e2f7feadc38e269b873a72d58a6413c365bc731fffe4508718dda121fe245f02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000035", "prompt": "Solve the equation -19(x + 1194) + 9412 = x for x.", "solution_steps": ["Expand: -19x - 22686 + 9412 = x", "Combine constants: -19x - 13274 = x", "Subtract x from both sides: -20x - 13274 = 0", "Add 13274 to both sides: -20x = 13274", "Divide both sides by -20: x = -6637/10"], "final_answer": "-6637/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 1194) + 9412 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1194, \"c\": 9412}", "seed": "7741758158728681632", "semantic_fingerprint": "sha256:b6ef5812106c548054a70dc694b458e5d4c4ee1508a1365b25000fe01022fb5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000036", "prompt": "What is 8804 / (-83201 + 97710)?", "solution_steps": ["Add: -83201 + 97710 = 14509", "Divide: 8804 / 14509 = 8804/14509"], "final_answer": "8804/14509", "answer_type": "rational", "kind": "expression", "math_text": "8804 / (-83201 + 97710)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8804, \"b\": -83201, \"c\": 97710}", "seed": "12484350223647846806", "semantic_fingerprint": "sha256:5a0912c564fc511b4b7561697ca9330be96632cb43976259b5223194b317eb3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000037", "prompt": "Evaluate: -9494 + (-44769)", "solution_steps": ["Add: -9494 + (-44769) = -54263"], "final_answer": "-54263", "answer_type": "integer", "kind": "expression", "math_text": "-9494 + (-44769)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9494, \"b\": -44769}", "seed": "11596066627445484308", "semantic_fingerprint": "sha256:208b21e7cfb387124ac45f7a0c022befbf9009b35d28e42fa1c576c285d16e58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000038", "prompt": "Compute: -60140 * 9698 + (-39481)", "solution_steps": ["Multiply: -60140 * 9698 = -583237720", "Add: -583237720 + (-39481) = -583277201"], "final_answer": "-583277201", "answer_type": "integer", "kind": "expression", "math_text": "-60140 * 9698 + (-39481)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60140, \"b\": 9698, \"c\": -39481}", "seed": "7694832088554855911", "semantic_fingerprint": "sha256:ca3acfb6f461c3561c8def92404666c4b1b68ce2af847a558a9e978696ba37b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000039", "prompt": "Solve the equation x + 13929 = -13(x - 3622) - 30903 for x.", "solution_steps": ["Expand: x + 13929 = -13x + 47086 - 30903", "Combine constants: x + 13929 = -13x + 16183", "Add 13x to both sides: 14x + 13929 = 16183", "Subtract 13929 from both sides: 14x = 2254", "Divide both sides by 14: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 13929 = -13(x - 3622) - 30903", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13929, \"b\": -13, \"c\": 3622, \"e\": -30903, \"x\": 161}", "seed": "5825539913396794629", "semantic_fingerprint": "sha256:83ceefb7bbaf5b45f460c4732fbcbb4439172d6ef87c7ae0247e1e12c5e125cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000040", "prompt": "Compute: -39628 / 2251", "solution_steps": ["Divide: -39628 / 2251 = -39628/2251"], "final_answer": "-39628/2251", "answer_type": "rational", "kind": "expression", "math_text": "-39628 / 2251", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39628, \"b\": 2251}", "seed": "15978218542811088753", "semantic_fingerprint": "sha256:72265a002373a098aa502a0aed50ecef57ab0e3cec0131d3d055f748618a9197", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000041", "prompt": "What value of x satisfies 19x - 3027 = -37(x + 53552)?", "solution_steps": ["Expand: 19x - 3027 = -37x - 1981424", "Add 37x to both sides: 56x - 3027 = -1981424", "Add 3027 to both sides: 56x = -1978397", "Divide both sides by 56: x = -1978397/56"], "final_answer": "-1978397/56", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x - 3027 = -37(x + 53552)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3027, \"c\": -37, \"d\": 53552}", "seed": "5879941518548917483", "semantic_fingerprint": "sha256:d736df9a207816563a4ede9541165d2c4d25edc88d6d1cff1ad5a228aea79824", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000042", "prompt": "Find x: 39x - 9424 = -13948", "solution_steps": ["Add 9424 to both sides: 39x = -4524", "Divide both sides by 39: x = -116"], "final_answer": "-116", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x - 9424 = -13948", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 9424, \"d\": -13948, \"x\": -116}", "seed": "16892868480549235775", "semantic_fingerprint": "sha256:85758c5cab7d21a4d1d45dc5a6b6b1cffdb2790cc626ba14fd7174a9d9d28108", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000043", "prompt": "Calculate: 46701 * (-8591) - (-8116)", "solution_steps": ["Multiply: 46701 * (-8591) = -401208291", "Subtract: -401208291 - (-8116) = -401200175"], "final_answer": "-401200175", "answer_type": "integer", "kind": "expression", "math_text": "46701 * (-8591) - (-8116)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46701, \"b\": -8591, \"c\": -8116}", "seed": "12599057250920065827", "semantic_fingerprint": "sha256:36d1ce9075ba40dec31d2e2bf186a593466f0b3c814bda3a90e60596309ac7e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000044", "prompt": "What is 8036 / 9581?", "solution_steps": ["Divide: 8036 / 9581 = 8036/9581"], "final_answer": "8036/9581", "answer_type": "rational", "kind": "expression", "math_text": "8036 / 9581", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8036, \"b\": 9581}", "seed": "12638074171184056420", "semantic_fingerprint": "sha256:c72b345737bdb6bf7b0c6dfc2c072528b55c6cbbe0fe1beaa10c5d09e89f38b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000045", "prompt": "Calculate: (-6515 - 3797) * (-5733 - 2108)", "solution_steps": ["Subtract: -6515 - 3797 = -10312", "Subtract: -5733 - 2108 = -7841", "Multiply: -10312 * (-7841) = 80856392"], "final_answer": "80856392", "answer_type": "integer", "kind": "expression", "math_text": "(-6515 - 3797) * (-5733 - 2108)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6515, \"b\": 3797, \"c\": -5733, \"d\": 2108}", "seed": "15713850910040781944", "semantic_fingerprint": "sha256:3b58f1c2b2499dc5106896378bf603a4d65f34984ca015b4bac61cce20181072", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000046", "prompt": "What value of x satisfies 21x - 60732 = 38(x + 1567)?", "solution_steps": ["Expand: 21x - 60732 = 38x + 59546", "Subtract 38x from both sides: -17x - 60732 = 59546", "Add 60732 to both sides: -17x = 120278", "Divide both sides by -17: x = -120278/17"], "final_answer": "-120278/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x - 60732 = 38(x + 1567)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 60732, \"c\": 38, \"d\": 1567}", "seed": "8508442551558795100", "semantic_fingerprint": "sha256:e5277056bb7473276a1b2bf27386ad0c73de431e315793306481dca379c2bf82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000047", "prompt": "What is -6281 * (-46731)?", "solution_steps": ["Multiply: -6281 * (-46731) = 293517411"], "final_answer": "293517411", "answer_type": "integer", "kind": "expression", "math_text": "-6281 * (-46731)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6281, \"b\": -46731}", "seed": "2701679094959341964", "semantic_fingerprint": "sha256:0ce0d5cca63101ab1e8821afc72923b3b807764137cfa5cfda7e7f11e3567edb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000048", "prompt": "Compute: 71329 * (1127 / (-5653)) - 7835", "solution_steps": ["Divide: 1127 / (-5653) = -1127/5653", "Multiply: 71329 * (-1127/5653) = -80387783/5653", "Subtract: -80387783/5653 - 7835 = -124679038/5653"], "final_answer": "-124679038/5653", "answer_type": "rational", "kind": "expression", "math_text": "71329 * (1127 / (-5653)) - 7835", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71329, \"b\": 1127, \"c\": -5653, \"d\": 7835}", "seed": "16806466253572283239", "semantic_fingerprint": "sha256:04a2ae81c76be1d3a4bb203428a74b1138e878bdc0ab3b28d72c7261f750be76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000049", "prompt": "Solve for x: -17(x - 9668) = x", "solution_steps": ["Expand: -17x + 164356 = x", "Subtract x from both sides: -18x + 164356 = 0", "Subtract 164356 from both sides: -18x = -164356", "Divide both sides by -18: x = 82178/9"], "final_answer": "82178/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x - 9668) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9668}", "seed": "9071801511151189035", "semantic_fingerprint": "sha256:e5e186583b4fc43d2459c91be9f37cfb4c321aaaba62ede9c4aba7b11c3b40f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000050", "prompt": "Evaluate: 12637 - (-9337)", "solution_steps": ["Subtract: 12637 - (-9337) = 21974"], "final_answer": "21974", "answer_type": "integer", "kind": "expression", "math_text": "12637 - (-9337)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 12637, \"b\": -9337}", "seed": "1043314183970057814", "semantic_fingerprint": "sha256:720b56f3dd8fcaf10275f6d34c6a0cf5cd38a9b544623ad65efb004ca9edb50f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000051", "prompt": "Solve the equation -35(x + 9834) = x for x.", "solution_steps": ["Expand: -35x - 344190 = x", "Subtract x from both sides: -36x - 344190 = 0", "Add 344190 to both sides: -36x = 344190", "Divide both sides by -36: x = -57365/6"], "final_answer": "-57365/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 9834) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 9834}", "seed": "13715506905799101285", "semantic_fingerprint": "sha256:587bfe4a9146591ea669b8e6d41458596917e46c73d6a6ddf51e7223767eaf88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000052", "prompt": "Evaluate: 8001 + 9569 + 7909 / (-1856 / 8383)", "solution_steps": ["Add: 8001 + 9569 = 17570", "Divide: -1856 / 8383 = -1856/8383", "Divide: 7909 / (-1856/8383) = -66301147/1856", "Add: 17570 + (-66301147/1856) = -33691227/1856"], "final_answer": "-33691227/1856", "answer_type": "rational", "kind": "expression", "math_text": "8001 + 9569 + 7909 / (-1856 / 8383)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8001, \"b\": 9569, \"c\": 7909, \"d\": -1856, \"e\": 8383}", "seed": "3767096685350538304", "semantic_fingerprint": "sha256:45c64fba806339cdffe0b54a02febd237f0f72b4899e519a1bd89c159287e10e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000053", "prompt": "Calculate: -9155 * (-5282)", "solution_steps": ["Multiply: -9155 * (-5282) = 48356710"], "final_answer": "48356710", "answer_type": "integer", "kind": "expression", "math_text": "-9155 * (-5282)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9155, \"b\": -5282}", "seed": "5494791447324213452", "semantic_fingerprint": "sha256:167832f478b0f4e1877487955f43fbc396b85ad2c0a8ff98e3dba5935070d5a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000054", "prompt": "Compute: 1399 / (-2967) - (-21167)", "solution_steps": ["Divide: 1399 / (-2967) = -1399/2967", "Subtract: -1399/2967 - (-21167) = 62801090/2967"], "final_answer": "62801090/2967", "answer_type": "rational", "kind": "expression", "math_text": "1399 / (-2967) - (-21167)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1399, \"b\": -2967, \"c\": -21167}", "seed": "4627101623481873400", "semantic_fingerprint": "sha256:b5d9d987347b8404c98d09bcdd89c7305429643334a733e38d59b50c240d4664", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000055", "prompt": "What is -10175 * (-52613 + (-48877)) / 62706?", "solution_steps": ["Add: -52613 + (-48877) = -101490", "Multiply: -10175 * (-101490) = 1032660750", "Divide: 1032660750 / 62706 = 172110125/10451"], "final_answer": "172110125/10451", "answer_type": "rational", "kind": "expression", "math_text": "-10175 * (-52613 + (-48877)) / 62706", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -10175, \"b\": -52613, \"c\": -48877, \"d\": 62706}", "seed": "6135077416325645096", "semantic_fingerprint": "sha256:44dea7201ab69eac7d961e08368716d3e9012f0447e3de3f24fc9af7d8a835e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000056", "prompt": "What value of x satisfies x = 38x - 5513?", "solution_steps": ["Subtract 38x from both sides: -37x = -5513", "Divide both sides by -37: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 38x - 5513", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": -5513, \"x\": 149}", "seed": "14506312365635828504", "semantic_fingerprint": "sha256:71baad9ba5806e7ec813eed22538252b507e91ceb96ac29e04518861b85d5399", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000057", "prompt": "Compute: 90606 / (91267 / 28977)", "solution_steps": ["Divide: 91267 / 28977 = 91267/28977", "Divide: 90606 / (91267/28977) = 2625490062/91267"], "final_answer": "2625490062/91267", "answer_type": "rational", "kind": "expression", "math_text": "90606 / (91267 / 28977)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90606, \"b\": 91267, \"c\": 28977}", "seed": "3496529599251717507", "semantic_fingerprint": "sha256:1a4a0f52b27f3b15a1d4b8260cf88dccc9750f17182125f95580f807a171ff28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000058", "prompt": "Compute: -95322 - 2384 * 9103", "solution_steps": ["Multiply: 2384 * 9103 = 21701552", "Subtract: -95322 - 21701552 = -21796874"], "final_answer": "-21796874", "answer_type": "integer", "kind": "expression", "math_text": "-95322 - 2384 * 9103", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95322, \"b\": 2384, \"c\": 9103}", "seed": "16017155468382473507", "semantic_fingerprint": "sha256:013c7a560c30dfeee7e1a4974133d43339bbc13a1c112f8697352df1fe82c256", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000059", "prompt": "Calculate: 83238 + (-6206 + (-80810)) / 5910", "solution_steps": ["Add: -6206 + (-80810) = -87016", "Divide: -87016 / 5910 = -43508/2955", "Add: 83238 + (-43508/2955) = 245924782/2955"], "final_answer": "245924782/2955", "answer_type": "rational", "kind": "expression", "math_text": "83238 + (-6206 + (-80810)) / 5910", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83238, \"b\": -6206, \"c\": -80810, \"d\": 5910}", "seed": "10701047298052706367", "semantic_fingerprint": "sha256:cae992246d79bcd02ad334b165803dfa470fda964d3772325da04297b40a8865", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000060", "prompt": "What is 73354 * (79130 + (5204 - 97778))?", "solution_steps": ["Subtract: 5204 - 97778 = -92574", "Add: 79130 + (-92574) = -13444", "Multiply: 73354 * (-13444) = -986171176"], "final_answer": "-986171176", "answer_type": "integer", "kind": "expression", "math_text": "73354 * (79130 + (5204 - 97778))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73354, \"b\": 79130, \"c\": 5204, \"d\": 97778}", "seed": "12436515750019481288", "semantic_fingerprint": "sha256:b510aec3a0504e71859a46e03488b8650f5f84edecdc38408299f4c2b2afad82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000061", "prompt": "Calculate: -33349 + 7530", "solution_steps": ["Add: -33349 + 7530 = -25819"], "final_answer": "-25819", "answer_type": "integer", "kind": "expression", "math_text": "-33349 + 7530", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33349, \"b\": 7530}", "seed": "3004508920946614394", "semantic_fingerprint": "sha256:1cb438afb430929e9e228d869d60195a17a916a3cb0eaa5f8ec2b318f9b43df4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000062", "prompt": "Evaluate: 2926 - (-88603) - 97624 * (-78425)", "solution_steps": ["Subtract: 2926 - (-88603) = 91529", "Multiply: 97624 * (-78425) = -7656162200", "Subtract: 91529 - (-7656162200) = 7656253729"], "final_answer": "7656253729", "answer_type": "integer", "kind": "expression", "math_text": "2926 - (-88603) - 97624 * (-78425)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2926, \"b\": -88603, \"c\": 97624, \"d\": -78425}", "seed": "14265929765361557846", "semantic_fingerprint": "sha256:b57c894bf81a1502472736e7f364b09b67d4b762cf7aa4f2ff616e0af9db9c1b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000063", "prompt": "Compute: -2308 + (-5036) - (-9497 + 36486) / 9535", "solution_steps": ["Add: -2308 + (-5036) = -7344", "Add: -9497 + 36486 = 26989", "Divide: 26989 / 9535 = 26989/9535", "Subtract: -7344 - 26989/9535 = -70052029/9535"], "final_answer": "-70052029/9535", "answer_type": "rational", "kind": "expression", "math_text": "-2308 + (-5036) - (-9497 + 36486) / 9535", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2308, \"b\": -5036, \"c\": -9497, \"d\": 36486, \"e\": 9535}", "seed": "10197688525385376109", "semantic_fingerprint": "sha256:86bb369e10c86938512ec329265d90e8abdfcd4a3fea00c6ee13a728b02ef864", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000064", "prompt": "Compute: -9891 - (-16571 + (-3769))", "solution_steps": ["Add: -16571 + (-3769) = -20340", "Subtract: -9891 - (-20340) = 10449"], "final_answer": "10449", "answer_type": "integer", "kind": "expression", "math_text": "-9891 - (-16571 + (-3769))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9891, \"b\": -16571, \"c\": -3769}", "seed": "17468848954172853317", "semantic_fingerprint": "sha256:5fcaeb2a296aa530a23208b5f3f69484b4490b11df42b79f23e51869fd294a4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000065", "prompt": "Evaluate: -4293 / (8475 / (-9721))", "solution_steps": ["Divide: 8475 / (-9721) = -8475/9721", "Divide: -4293 / (-8475/9721) = 13910751/2825"], "final_answer": "13910751/2825", "answer_type": "rational", "kind": "expression", "math_text": "-4293 / (8475 / (-9721))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4293, \"b\": 8475, \"c\": -9721}", "seed": "18351647544005954909", "semantic_fingerprint": "sha256:581d50a9297b4eb4d350cd9663f365e55c42e5bd6ed99db7f6d18efb5dcdded5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000066", "prompt": "What value of x satisfies 30x = -22(x - 6188) + 29735?", "solution_steps": ["Expand: 30x = -22x + 136136 + 29735", "Combine constants: 30x = -22x + 165871", "Add 22x to both sides: 52x = 165871", "Divide both sides by 52: x = 165871/52"], "final_answer": "165871/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = -22(x - 6188) + 29735", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -22, \"c\": 6188, \"d\": 29735}", "seed": "9001717263474926410", "semantic_fingerprint": "sha256:5db8cf803aa1ccec0f9e77abde494ca482e359d46f075022a8bdc0df35e7fb39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000067", "prompt": "Calculate: 1168 - (-3074)", "solution_steps": ["Subtract: 1168 - (-3074) = 4242"], "final_answer": "4242", "answer_type": "integer", "kind": "expression", "math_text": "1168 - (-3074)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1168, \"b\": -3074}", "seed": "8846662573918172113", "semantic_fingerprint": "sha256:a41bab8d1f7c3fb070169f0d1217bd76a3f1d3d6e8549a74cfd3b900ff8a00dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000068", "prompt": "Calculate: -3189 * 8954", "solution_steps": ["Multiply: -3189 * 8954 = -28554306"], "final_answer": "-28554306", "answer_type": "integer", "kind": "expression", "math_text": "-3189 * 8954", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3189, \"b\": 8954}", "seed": "2914577511067066108", "semantic_fingerprint": "sha256:a89d0ee8c8761c64c3ab855c2ab62829f46313624a10cf2f72384f9bf7f5030e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000069", "prompt": "Calculate: 71383 + 2802", "solution_steps": ["Add: 71383 + 2802 = 74185"], "final_answer": "74185", "answer_type": "integer", "kind": "expression", "math_text": "71383 + 2802", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 71383, \"b\": 2802}", "seed": "7179472188426969091", "semantic_fingerprint": "sha256:c001e4b0a9731688eea9991fdfafe498f4b544ab2cef111838ec5a9b9c74bd55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000070", "prompt": "Calculate: -3175 / (41174 / 39207) - 8484", "solution_steps": ["Divide: 41174 / 39207 = 5882/5601", "Divide: -3175 / (5882/5601) = -17783175/5882", "Subtract: -17783175/5882 - 8484 = -67686063/5882"], "final_answer": "-67686063/5882", "answer_type": "rational", "kind": "expression", "math_text": "-3175 / (41174 / 39207) - 8484", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3175, \"b\": 41174, \"c\": 39207, \"d\": 8484}", "seed": "14708075155579409788", "semantic_fingerprint": "sha256:2180871a14f2743f4fa8b7d393564162526579a36aad678425cc8b7ff434bc5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000071", "prompt": "Calculate: 4026 / (-1992) * ((4744 + (-55084)) * (-8574))", "solution_steps": ["Divide: 4026 / (-1992) = -671/332", "Add: 4744 + (-55084) = -50340", "Multiply: -50340 * (-8574) = 431615160", "Multiply: (-671/332) * 431615160 = -72403443090/83"], "final_answer": "-72403443090/83", "answer_type": "rational", "kind": "expression", "math_text": "4026 / (-1992) * ((4744 + (-55084)) * (-8574))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4026, \"b\": -1992, \"c\": 4744, \"d\": -55084, \"e\": -8574}", "seed": "12185284449823196036", "semantic_fingerprint": "sha256:9099f2c41e818fc949ca97e8635f4e215aeb36c1b8b83c5184b420fcd8287464", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000072", "prompt": "Evaluate: (-5602 - (-49787 + (34468 - 48338))) / 3456", "solution_steps": ["Subtract: 34468 - 48338 = -13870", "Add: -49787 + (-13870) = -63657", "Subtract: -5602 - (-63657) = 58055", "Divide: 58055 / 3456 = 58055/3456"], "final_answer": "58055/3456", "answer_type": "rational", "kind": "expression", "math_text": "(-5602 - (-49787 + (34468 - 48338))) / 3456", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5602, \"b\": -49787, \"c\": 34468, \"d\": 48338, \"e\": 3456}", "seed": "14246516124619102643", "semantic_fingerprint": "sha256:d6907f8cb4a11818c98990029ba1541a932b8b800e37626a340c296eb12ccf22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000073", "prompt": "Calculate: -14345 * 8619", "solution_steps": ["Multiply: -14345 * 8619 = -123639555"], "final_answer": "-123639555", "answer_type": "integer", "kind": "expression", "math_text": "-14345 * 8619", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -14345, \"b\": 8619}", "seed": "5892905919921701513", "semantic_fingerprint": "sha256:69f007d58585bb75ed79c2aa77889aed540de87af0e567d6769a52c7ecbcdd6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000074", "prompt": "Find x: 34(x + 3482) = 15x", "solution_steps": ["Expand: 34x + 118388 = 15x", "Subtract 15x from both sides: 19x + 118388 = 0", "Subtract 118388 from both sides: 19x = -118388", "Divide both sides by 19: x = -118388/19"], "final_answer": "-118388/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 3482) = 15x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 3482, \"c\": 15}", "seed": "7640403274468643462", "semantic_fingerprint": "sha256:5c28d586b51eeaefcce5974db74d2e481c0c9afca4d620f2a279e832c34c1880", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000075", "prompt": "Evaluate: -26491 + 6989 + (-6113)", "solution_steps": ["Add: -26491 + 6989 = -19502", "Add: -19502 + (-6113) = -25615"], "final_answer": "-25615", "answer_type": "integer", "kind": "expression", "math_text": "-26491 + 6989 + (-6113)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26491, \"b\": 6989, \"c\": -6113}", "seed": "16408275539128394435", "semantic_fingerprint": "sha256:055974c4b8bd27f374c89d6f7a58597cca38e4e13ec1d7680d63a6198e866b48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000076", "prompt": "What is -8632 - 82890 - (4716 + 68061 - (-6755))?", "solution_steps": ["Subtract: -8632 - 82890 = -91522", "Add: 4716 + 68061 = 72777", "Subtract: 72777 - (-6755) = 79532", "Subtract: -91522 - 79532 = -171054"], "final_answer": "-171054", "answer_type": "integer", "kind": "expression", "math_text": "-8632 - 82890 - (4716 + 68061 - (-6755))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8632, \"b\": 82890, \"c\": 4716, \"d\": 68061, \"e\": -6755}", "seed": "13496790568642974616", "semantic_fingerprint": "sha256:f41d582201fbd21d6466e041eacd7ef1fce40c78d2871194f78b287f295e218e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000077", "prompt": "Solve the equation -16x - 9733 = 17(x - 2923) + 42829 for x.", "solution_steps": ["Expand: -16x - 9733 = 17x - 49691 + 42829", "Combine constants: -16x - 9733 = 17x - 6862", "Subtract 17x from both sides: -33x - 9733 = -6862", "Add 9733 to both sides: -33x = 2871", "Divide both sides by -33: x = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x - 9733 = 17(x - 2923) + 42829", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 9733, \"c\": 17, \"d\": 2923, \"f\": 42829, \"x\": -87}", "seed": "15652488225686077202", "semantic_fingerprint": "sha256:f37c725676c8ec57d5450c3745dbe87ba75367b242e4823b29dff3aed9746623", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000078", "prompt": "What value of x satisfies x = -35x - 6876?", "solution_steps": ["Add 35x to both sides: 36x = -6876", "Divide both sides by 36: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -35x - 6876", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": -6876, \"x\": -191}", "seed": "5887533566736821477", "semantic_fingerprint": "sha256:1147a5b8ee73b8ad82b89bf13a2eb33002400adb8c930a200a3a6ba2ade28add", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000079", "prompt": "Evaluate: -3303 / 92137", "solution_steps": ["Divide: -3303 / 92137 = -3303/92137"], "final_answer": "-3303/92137", "answer_type": "rational", "kind": "expression", "math_text": "-3303 / 92137", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3303, \"b\": 92137}", "seed": "8917848922924147380", "semantic_fingerprint": "sha256:0aec34adcd01e82ac4de6f67beea1dba4706e114761e5068cd75c8ed41dbc209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000080", "prompt": "Evaluate: 53055 - 43644 / 2225", "solution_steps": ["Divide: 43644 / 2225 = 43644/2225", "Subtract: 53055 - 43644/2225 = 118003731/2225"], "final_answer": "118003731/2225", "answer_type": "rational", "kind": "expression", "math_text": "53055 - 43644 / 2225", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53055, \"b\": 43644, \"c\": 2225}", "seed": "10829608898872470559", "semantic_fingerprint": "sha256:7a3819ae105d7030e8b06e671d0d292d9e6eb7da44363e61c8a74014554c6b04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000081", "prompt": "Find x: -32(x - 49050) + 30761 = -1556", "solution_steps": ["Expand: -32x + 1569600 + 30761 = -1556", "Combine constants: -32x + 1600361 = -1556", "Subtract 1600361 from both sides: -32x = -1601917", "Divide both sides by -32: x = 1601917/32"], "final_answer": "1601917/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 49050) + 30761 = -1556", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 49050, \"c\": 30761, \"d\": -1556}", "seed": "10825660120010316493", "semantic_fingerprint": "sha256:959f52f8a4e0a3881c4816eb6f0cf8041aaf799d6836bcac8de09b616be79dea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000082", "prompt": "Calculate: -4185 + (-4923) + (7053 * (-4097) - 9622)", "solution_steps": ["Add: -4185 + (-4923) = -9108", "Multiply: 7053 * (-4097) = -28896141", "Subtract: -28896141 - 9622 = -28905763", "Add: -9108 + (-28905763) = -28914871"], "final_answer": "-28914871", "answer_type": "integer", "kind": "expression", "math_text": "-4185 + (-4923) + (7053 * (-4097) - 9622)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4185, \"b\": -4923, \"c\": 7053, \"d\": -4097, \"e\": 9622}", "seed": "14586073433631846822", "semantic_fingerprint": "sha256:40e41b924af268575fc0ca43fa441026f83a8ed4699c0302e117edd253598fce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000083", "prompt": "What is 97495 / 1695 + (-75451 + 87881)?", "solution_steps": ["Divide: 97495 / 1695 = 19499/339", "Add: -75451 + 87881 = 12430", "Add: 19499/339 + 12430 = 4233269/339"], "final_answer": "4233269/339", "answer_type": "rational", "kind": "expression", "math_text": "97495 / 1695 + (-75451 + 87881)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 97495, \"b\": 1695, \"c\": -75451, \"d\": 87881}", "seed": "4939434249778971901", "semantic_fingerprint": "sha256:2f53191f127823f32727050e07159d624c54ed4badb39200801fba943293dad1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000084", "prompt": "What is 1149 * (-32760) + (-37338)?", "solution_steps": ["Multiply: 1149 * (-32760) = -37641240", "Add: -37641240 + (-37338) = -37678578"], "final_answer": "-37678578", "answer_type": "integer", "kind": "expression", "math_text": "1149 * (-32760) + (-37338)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1149, \"b\": -32760, \"c\": -37338}", "seed": "3607257808757690043", "semantic_fingerprint": "sha256:357a8c22e8a696d1cc2743de5c1f6b68a63e0feb3d0af02cc9340eee6087b0e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000085", "prompt": "Compute: -7636 + (-54908)", "solution_steps": ["Add: -7636 + (-54908) = -62544"], "final_answer": "-62544", "answer_type": "integer", "kind": "expression", "math_text": "-7636 + (-54908)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7636, \"b\": -54908}", "seed": "17355728927301879178", "semantic_fingerprint": "sha256:4dbd5657edf7fd1c8433a76eec8a99f17538de9771a76e209871168785b67b9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000086", "prompt": "Solve the equation 25(x + 2701) - 7537 = 31x for x.", "solution_steps": ["Expand: 25x + 67525 - 7537 = 31x", "Combine constants: 25x + 59988 = 31x", "Subtract 31x from both sides: -6x + 59988 = 0", "Subtract 59988 from both sides: -6x = -59988", "Divide both sides by -6: x = 9998"], "final_answer": "9998", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 2701) - 7537 = 31x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2701, \"c\": 7537, \"d\": 31}", "seed": "1721690827625695057", "semantic_fingerprint": "sha256:a5a952c26ec371a564e22d285fbd25371a5f0b817b70323d67e98548a4b54f50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000087", "prompt": "Solve for x: 24(x + 8282) = -22(x + 2336) - 75071", "solution_steps": ["Expand: 24x + 198768 = -22(x + 2336) - 75071", "Expand: 24x + 198768 = -22x - 51392 - 75071", "Combine constants: 24x + 198768 = -22x - 126463", "Add 22x to both sides: 46x + 198768 = -126463", "Subtract 198768 from both sides: 46x = -325231", "Divide both sides by 46: x = -325231/46"], "final_answer": "-325231/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 8282) = -22(x + 2336) - 75071", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 8282, \"c\": -22, \"d\": 2336, \"e\": 75071}", "seed": "10692683058581673912", "semantic_fingerprint": "sha256:fd18a5a3b85e1fecf5c18f83cb57cff230ba199ffce41d9c6228040c309f0844", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000088", "prompt": "Evaluate: -3441 / 6251 - (-6729)", "solution_steps": ["Divide: -3441 / 6251 = -3441/6251", "Subtract: -3441/6251 - (-6729) = 42059538/6251"], "final_answer": "42059538/6251", "answer_type": "rational", "kind": "expression", "math_text": "-3441 / 6251 - (-6729)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3441, \"b\": 6251, \"c\": -6729}", "seed": "284576454548059227", "semantic_fingerprint": "sha256:e2e6eaee92b5f7c88e4344709c1924125fa8ae638b70db77bfc36ca50ffde9b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000089", "prompt": "Solve the equation 15(x + 12136) = 36(x + 62818) for x.", "solution_steps": ["Expand: 15x + 182040 = 36(x + 62818)", "Expand: 15x + 182040 = 36x + 2261448", "Subtract 36x from both sides: -21x + 182040 = 2261448", "Subtract 182040 from both sides: -21x = 2079408", "Divide both sides by -21: x = -693136/7"], "final_answer": "-693136/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 12136) = 36(x + 62818)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 12136, \"c\": 36, \"d\": 62818}", "seed": "8347672841129257316", "semantic_fingerprint": "sha256:15a733367985c931b15524b4d756db695f26283fcc5bb841f085caa31bcb3b9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000090", "prompt": "Solve the equation -35x = x - 11305 for x.", "solution_steps": ["Subtract x from both sides: -36x = -11305", "Divide both sides by -36: x = 11305/36"], "final_answer": "11305/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x = x - 11305", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 11305}", "seed": "1142652768547469621", "semantic_fingerprint": "sha256:6538e72214256ac5718a2c0c1fc904c6b69e1aac014bc771211930d75d6bc6a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000091", "prompt": "Evaluate: 74313 + (-84342) + (88238 + (-1076) - (-43340 + (-4628)))", "solution_steps": ["Add: 74313 + (-84342) = -10029", "Add: 88238 + (-1076) = 87162", "Add: -43340 + (-4628) = -47968", "Subtract: 87162 - (-47968) = 135130", "Add: -10029 + 135130 = 125101"], "final_answer": "125101", "answer_type": "integer", "kind": "expression", "math_text": "74313 + (-84342) + (88238 + (-1076) - (-43340 + (-4628)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (+ n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 74313, \"b\": -84342, \"c\": 88238, \"d\": -1076, \"e\": -43340, \"f\": -4628}", "seed": "2296538418049330555", "semantic_fingerprint": "sha256:7d4e6a72e494ed5352fb4150a75fe85ea4b58816f2674d705431c3e96729e52d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000092", "prompt": "What value of x satisfies -13x + 94101 = 38(x + 2764) - 12257?", "solution_steps": ["Expand: -13x + 94101 = 38x + 105032 - 12257", "Combine constants: -13x + 94101 = 38x + 92775", "Subtract 38x from both sides: -51x + 94101 = 92775", "Subtract 94101 from both sides: -51x = -1326", "Divide both sides by -51: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x + 94101 = 38(x + 2764) - 12257", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 94101, \"c\": 38, \"d\": 2764, \"f\": -12257, \"x\": 26}", "seed": "17564166877812375085", "semantic_fingerprint": "sha256:bae9f60e003b34ed48420cdd69418f5c0dc322ba9a2643d9ee4db2787aab68c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000093", "prompt": "What value of x satisfies 24(x + 3828) + 1240 = -18(x - 7031) - 30380?", "solution_steps": ["Expand: 24x + 91872 + 1240 = -18(x - 7031) - 30380", "Expand: 24x + 91872 + 1240 = -18x + 126558 - 30380", "Combine constants: 24x + 93112 = -18x + 126558 - 30380", "Combine constants: 24x + 93112 = -18x + 96178", "Add 18x to both sides: 42x + 93112 = 96178", "Subtract 93112 from both sides: 42x = 3066", "Divide both sides by 42: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x + 3828) + 1240 = -18(x - 7031) - 30380", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 3828, \"c\": 1240, \"d\": -18, \"e\": 7031, \"g\": -30380, \"x\": 73}", "seed": "5408361849804671142", "semantic_fingerprint": "sha256:c34ad43472f86235c8b4959b0104ab79fcc7b411af41c52798575f9941f85190", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000094", "prompt": "Solve for x: x = 32(x + 2218)", "solution_steps": ["Expand: x = 32x + 70976", "Subtract 32x from both sides: -31x = 70976", "Divide both sides by -31: x = -70976/31"], "final_answer": "-70976/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 32(x + 2218)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2218}", "seed": "17345137553025608449", "semantic_fingerprint": "sha256:b5a9eef5e00750a0d4b5614bafbf47a2c1936473b7f31c146a4e865dc37161cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000095", "prompt": "Solve for x: 25(x - 8955) = 28(x + 46093) + 1254", "solution_steps": ["Expand: 25x - 223875 = 28(x + 46093) + 1254", "Expand: 25x - 223875 = 28x + 1290604 + 1254", "Combine constants: 25x - 223875 = 28x + 1291858", "Subtract 28x from both sides: -3x - 223875 = 1291858", "Add 223875 to both sides: -3x = 1515733", "Divide both sides by -3: x = -1515733/3"], "final_answer": "-1515733/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 8955) = 28(x + 46093) + 1254", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 8955, \"c\": 28, \"d\": 46093, \"e\": 1254}", "seed": "4595633016639052124", "semantic_fingerprint": "sha256:25a4d94af172864c8c16a33022b3eaf0f0b19ba5174f28bdaa80b461f4f0e092", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000096", "prompt": "Compute: -9515 / (-2720 + 7827)", "solution_steps": ["Add: -2720 + 7827 = 5107", "Divide: -9515 / 5107 = -9515/5107"], "final_answer": "-9515/5107", "answer_type": "rational", "kind": "expression", "math_text": "-9515 / (-2720 + 7827)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9515, \"b\": -2720, \"c\": 7827}", "seed": "11311556459020794028", "semantic_fingerprint": "sha256:2d662d00d3f9a852f8a3afa04cdaa80669d3d62819588ecf202c5a36cfffc433", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000097", "prompt": "Compute: 6244 + (-2687) - (-4144) * (-8291 * (-2069))", "solution_steps": ["Add: 6244 + (-2687) = 3557", "Multiply: -8291 * (-2069) = 17154079", "Multiply: -4144 * 17154079 = -71086503376", "Subtract: 3557 - (-71086503376) = 71086506933"], "final_answer": "71086506933", "answer_type": "integer", "kind": "expression", "math_text": "6244 + (-2687) - (-4144) * (-8291 * (-2069))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6244, \"b\": -2687, \"c\": -4144, \"d\": -8291, \"e\": -2069}", "seed": "9967855657293455036", "semantic_fingerprint": "sha256:5df4e24978697b90d863762766fd6a4ff9b31b0455bf3164b8cef1c34f57e02e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000098", "prompt": "Evaluate: (-8821 - 2756) * (1259 + 4314) + 43697", "solution_steps": ["Subtract: -8821 - 2756 = -11577", "Add: 1259 + 4314 = 5573", "Multiply: -11577 * 5573 = -64518621", "Add: -64518621 + 43697 = -64474924"], "final_answer": "-64474924", "answer_type": "integer", "kind": "expression", "math_text": "(-8821 - 2756) * (1259 + 4314) + 43697", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8821, \"b\": 2756, \"c\": 1259, \"d\": 4314, \"e\": 43697}", "seed": "6589059546476112971", "semantic_fingerprint": "sha256:992c6b734d7a0bad29ff5ce3de3d6e3fa3b3182f062079db1487a366c496ac12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000099", "prompt": "Compute: -8882 - (8067 + (-87078))", "solution_steps": ["Add: 8067 + (-87078) = -79011", "Subtract: -8882 - (-79011) = 70129"], "final_answer": "70129", "answer_type": "integer", "kind": "expression", "math_text": "-8882 - (8067 + (-87078))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8882, \"b\": 8067, \"c\": -87078}", "seed": "7012542042224944933", "semantic_fingerprint": "sha256:800eb5122e4781361d989dab7a7917f62bf1844e1f4bda348bfb261c4d962ff3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000100", "prompt": "Solve the equation 35(x - 2219) = 36(x + 2458) + 12446 for x.", "solution_steps": ["Expand: 35x - 77665 = 36(x + 2458) + 12446", "Expand: 35x - 77665 = 36x + 88488 + 12446", "Combine constants: 35x - 77665 = 36x + 100934", "Subtract 36x from both sides: -x - 77665 = 100934", "Add 77665 to both sides: -x = 178599", "Divide both sides by -1: x = -178599"], "final_answer": "-178599", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x - 2219) = 36(x + 2458) + 12446", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2219, \"c\": 36, \"d\": 2458, \"e\": 12446}", "seed": "14271889544286640157", "semantic_fingerprint": "sha256:1d05f4cc3d4d19e027b073cfea5b8a7c4e975b0444eb35aa03afbdebb233deca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000101", "prompt": "Evaluate: 29417 + (6148 - (-1618) * (-15355))", "solution_steps": ["Multiply: -1618 * (-15355) = 24844390", "Subtract: 6148 - 24844390 = -24838242", "Add: 29417 + (-24838242) = -24808825"], "final_answer": "-24808825", "answer_type": "integer", "kind": "expression", "math_text": "29417 + (6148 - (-1618) * (-15355))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29417, \"b\": 6148, \"c\": -1618, \"d\": -15355}", "seed": "1347976317477382381", "semantic_fingerprint": "sha256:eebd9cf55f7ae8d0e06560036bb09e02bfa23e3142ef1bdfffcf8d3611c4c2fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000102", "prompt": "Calculate: (-94179 - (5918 - (-29547) + 2065)) * (-1983)", "solution_steps": ["Subtract: 5918 - (-29547) = 35465", "Add: 35465 + 2065 = 37530", "Subtract: -94179 - 37530 = -131709", "Multiply: -131709 * (-1983) = 261178947"], "final_answer": "261178947", "answer_type": "integer", "kind": "expression", "math_text": "(-94179 - (5918 - (-29547) + 2065)) * (-1983)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -94179, \"b\": 5918, \"c\": -29547, \"d\": 2065, \"e\": -1983}", "seed": "6775904191960982139", "semantic_fingerprint": "sha256:4fe904de7bc3559df8e70ae9785c8ccc0ce15d66eb04d6f0df0b4e409d6d94c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000103", "prompt": "Solve for x: x - 62959 = 30x - 48661", "solution_steps": ["Subtract 30x from both sides: -29x - 62959 = -48661", "Add 62959 to both sides: -29x = 14298", "Divide both sides by -29: x = -14298/29"], "final_answer": "-14298/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 62959 = 30x - 48661", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62959, \"b\": 30, \"c\": 48661}", "seed": "18298783721768630398", "semantic_fingerprint": "sha256:0e6350b35cac92a190cba065376cc228ca1d4d633ca940420ee28313a49b5cd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000104", "prompt": "Evaluate: -91603 + 45283 + (-63948) + (-1791) * (-6133)", "solution_steps": ["Add: -91603 + 45283 = -46320", "Add: -46320 + (-63948) = -110268", "Multiply: -1791 * (-6133) = 10984203", "Add: -110268 + 10984203 = 10873935"], "final_answer": "10873935", "answer_type": "integer", "kind": "expression", "math_text": "-91603 + 45283 + (-63948) + (-1791) * (-6133)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -91603, \"b\": 45283, \"c\": -63948, \"d\": -1791, \"e\": -6133}", "seed": "6113073542245360343", "semantic_fingerprint": "sha256:7846bed08d4abbf6049a1ab4b1d64517b189e809eca216e8085c32946eccc262", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000105", "prompt": "What is -20593 * 5148 + (-38816)?", "solution_steps": ["Multiply: -20593 * 5148 = -106012764", "Add: -106012764 + (-38816) = -106051580"], "final_answer": "-106051580", "answer_type": "integer", "kind": "expression", "math_text": "-20593 * 5148 + (-38816)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20593, \"b\": 5148, \"c\": -38816}", "seed": "12397527096359934832", "semantic_fingerprint": "sha256:9731180113f757f523e7fd85eb970acfc3d7e7464a63cb5c92517df507edee03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000106", "prompt": "Solve the equation x = 19(x - 3732) + 69180 for x.", "solution_steps": ["Expand: x = 19x - 70908 + 69180", "Combine constants: x = 19x - 1728", "Subtract 19x from both sides: -18x = -1728", "Divide both sides by -18: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 19(x - 3732) + 69180", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3732, \"d\": 69180, \"x\": 96}", "seed": "18039077943864225603", "semantic_fingerprint": "sha256:267bcce13a4a97280a6ae5d06dc72c7c61cb32b9a0c5c569ce5a4e9fee56bc3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000107", "prompt": "Compute: (-5851 + (3679 + 9269)) / (-4793)", "solution_steps": ["Add: 3679 + 9269 = 12948", "Add: -5851 + 12948 = 7097", "Divide: 7097 / (-4793) = -7097/4793"], "final_answer": "-7097/4793", "answer_type": "rational", "kind": "expression", "math_text": "(-5851 + (3679 + 9269)) / (-4793)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5851, \"b\": 3679, \"c\": 9269, \"d\": -4793}", "seed": "11214001699917712100", "semantic_fingerprint": "sha256:3eee7dedd141bf5e5018ec48b39df99ec35c687e7311b9cecebe74bd54a0e215", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000108", "prompt": "What is 7461 - (-3012)?", "solution_steps": ["Subtract: 7461 - (-3012) = 10473"], "final_answer": "10473", "answer_type": "integer", "kind": "expression", "math_text": "7461 - (-3012)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7461, \"b\": -3012}", "seed": "5704539325284705248", "semantic_fingerprint": "sha256:0f09a4a33f8734a781ff0c2953f19fec811a0daa337c5cf8aa6a579aba236a2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000109", "prompt": "Solve for x: 24(x - 97958) = -23(x + 9564)", "solution_steps": ["Expand: 24x - 2350992 = -23(x + 9564)", "Expand: 24x - 2350992 = -23x - 219972", "Add 23x to both sides: 47x - 2350992 = -219972", "Add 2350992 to both sides: 47x = 2131020", "Divide both sides by 47: x = 2131020/47"], "final_answer": "2131020/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 97958) = -23(x + 9564)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 97958, \"c\": -23, \"d\": 9564}", "seed": "16873661185133114587", "semantic_fingerprint": "sha256:463468fcbc72f26628ad9e75bfb9b44e9aff5cd71bfe2bbdbea4b8e2d715a625", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000110", "prompt": "Evaluate: 87908 + (-1567 + (-9090))", "solution_steps": ["Add: -1567 + (-9090) = -10657", "Add: 87908 + (-10657) = 77251"], "final_answer": "77251", "answer_type": "integer", "kind": "expression", "math_text": "87908 + (-1567 + (-9090))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87908, \"b\": -1567, \"c\": -9090}", "seed": "6962419835328465961", "semantic_fingerprint": "sha256:ab9cfb7d0b0cbdc1d4b78c74c9771c555816bc8e831e819f99524e7e0df4c3fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000111", "prompt": "Find x: x - 60314 = -16x - 61606", "solution_steps": ["Add 16x to both sides: 17x - 60314 = -61606", "Add 60314 to both sides: 17x = -1292", "Divide both sides by 17: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60314 = -16x - 61606", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60314, \"b\": -16, \"d\": -61606, \"x\": -76}", "seed": "10699916996593855453", "semantic_fingerprint": "sha256:cff907a7d9e764d3d967b4f2d6775606907cfcbcf26c35e10776f24aa6f73680", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000112", "prompt": "Calculate: 1715 - (-8840) - 2037 * 3512", "solution_steps": ["Subtract: 1715 - (-8840) = 10555", "Multiply: 2037 * 3512 = 7153944", "Subtract: 10555 - 7153944 = -7143389"], "final_answer": "-7143389", "answer_type": "integer", "kind": "expression", "math_text": "1715 - (-8840) - 2037 * 3512", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1715, \"b\": -8840, \"c\": 2037, \"d\": 3512}", "seed": "11910613680480672889", "semantic_fingerprint": "sha256:cf6024b23774736b9862d13fd55b6a4e30c9a654338a6cf1cf7d79e57206a059", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000113", "prompt": "Find x: x = 29x + 4368", "solution_steps": ["Subtract 29x from both sides: -28x = 4368", "Divide both sides by -28: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 29x + 4368", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 4368, \"x\": -156}", "seed": "15909312429597414216", "semantic_fingerprint": "sha256:596f3c5d370ab86fb9925379f67f7652f470f9be6d62dd42fb9da197ce641dde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000114", "prompt": "Evaluate: -3749 / (-5010) + 2450 - (-8765)", "solution_steps": ["Divide: -3749 / (-5010) = 3749/5010", "Add: 3749/5010 + 2450 = 12278249/5010", "Subtract: 12278249/5010 - (-8765) = 56190899/5010"], "final_answer": "56190899/5010", "answer_type": "rational", "kind": "expression", "math_text": "-3749 / (-5010) + 2450 - (-8765)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3749, \"b\": -5010, \"c\": 2450, \"d\": -8765}", "seed": "8886932199188028266", "semantic_fingerprint": "sha256:3c5eaaa3a661cdb768f4c166d4ed22ba26e56b81a50dc681ea4030cb7712af78", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000115", "prompt": "Compute: -4896 / 2956 - (1668 - 59075)", "solution_steps": ["Divide: -4896 / 2956 = -1224/739", "Subtract: 1668 - 59075 = -57407", "Subtract: -1224/739 - (-57407) = 42422549/739"], "final_answer": "42422549/739", "answer_type": "rational", "kind": "expression", "math_text": "-4896 / 2956 - (1668 - 59075)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4896, \"b\": 2956, \"c\": 1668, \"d\": 59075}", "seed": "1011915398041578629", "semantic_fingerprint": "sha256:ec3b12872f37e79c80bf634875509e6daceac290bcefc0d98c92976653b570c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000116", "prompt": "Compute: -3805 - (-7076) + 2497", "solution_steps": ["Subtract: -3805 - (-7076) = 3271", "Add: 3271 + 2497 = 5768"], "final_answer": "5768", "answer_type": "integer", "kind": "expression", "math_text": "-3805 - (-7076) + 2497", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3805, \"b\": -7076, \"c\": 2497}", "seed": "1204883895802999121", "semantic_fingerprint": "sha256:2c0ea65802d04093335e01df23f63dd4612bdd9845cc100be639cd6dc4a5e2b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000117", "prompt": "Find x: 38(x - 9034) = -40x", "solution_steps": ["Expand: 38x - 343292 = -40x", "Add 40x to both sides: 78x - 343292 = 0", "Add 343292 to both sides: 78x = 343292", "Divide both sides by 78: x = 171646/39"], "final_answer": "171646/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 9034) = -40x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9034, \"c\": -40}", "seed": "5461998957920578491", "semantic_fingerprint": "sha256:b5b260001b00ed5ce14139649fba9063480b693dbec492d2539a6c4f264bc73f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000118", "prompt": "Compute: 3654 + 8598", "solution_steps": ["Add: 3654 + 8598 = 12252"], "final_answer": "12252", "answer_type": "integer", "kind": "expression", "math_text": "3654 + 8598", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3654, \"b\": 8598}", "seed": "4462881962093350336", "semantic_fingerprint": "sha256:44074175a3d07332fdaf3b688b10d2e62aee900535c25ed03eb0ce64b00536c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000119", "prompt": "Calculate: -2814 + (5144 + (-8770)) + (-7661 + (-31961))", "solution_steps": ["Add: 5144 + (-8770) = -3626", "Add: -2814 + (-3626) = -6440", "Add: -7661 + (-31961) = -39622", "Add: -6440 + (-39622) = -46062"], "final_answer": "-46062", "answer_type": "integer", "kind": "expression", "math_text": "-2814 + (5144 + (-8770)) + (-7661 + (-31961))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2814, \"b\": 5144, \"c\": -8770, \"d\": -7661, \"e\": -31961}", "seed": "12786269939300422009", "semantic_fingerprint": "sha256:900877a51a48e6399a6baf1d3356f21df1f986857812207ff7d7687549a25367", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000120", "prompt": "Evaluate: -4000 / (-70133) + 9441", "solution_steps": ["Divide: -4000 / (-70133) = 4000/70133", "Add: 4000/70133 + 9441 = 662129653/70133"], "final_answer": "662129653/70133", "answer_type": "rational", "kind": "expression", "math_text": "-4000 / (-70133) + 9441", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4000, \"b\": -70133, \"c\": 9441}", "seed": "13672797618269857008", "semantic_fingerprint": "sha256:11c97fdd52d5b204c20b03aa86bc43945cbed5098c3406c9753201d0e7557abd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000121", "prompt": "Solve for x: 26(x + 93624) - 5288 = 35(x - 97915)", "solution_steps": ["Expand: 26x + 2434224 - 5288 = 35(x - 97915)", "Expand: 26x + 2434224 - 5288 = 35x - 3427025", "Combine constants: 26x + 2428936 = 35x - 3427025", "Subtract 35x from both sides: -9x + 2428936 = -3427025", "Subtract 2428936 from both sides: -9x = -5855961", "Divide both sides by -9: x = 1951987/3"], "final_answer": "1951987/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 93624) - 5288 = 35(x - 97915)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 93624, \"c\": 5288, \"d\": 35, \"e\": 97915}", "seed": "2565924617234214815", "semantic_fingerprint": "sha256:743ba54a93ce5b120bb95b98015d0933a006047f9385ef9ac51dd42fd190409b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000122", "prompt": "Evaluate: 1254 / (-40735)", "solution_steps": ["Divide: 1254 / (-40735) = -1254/40735"], "final_answer": "-1254/40735", "answer_type": "rational", "kind": "expression", "math_text": "1254 / (-40735)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1254, \"b\": -40735}", "seed": "6842353833179502737", "semantic_fingerprint": "sha256:424a6ebf0e27fff852ad43e562c2f17b1ae60c190b9af8c89627b49b6661bebb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000123", "prompt": "Calculate: 83067 - (-2127 / 46403 + 5728)", "solution_steps": ["Divide: -2127 / 46403 = -2127/46403", "Add: -2127/46403 + 5728 = 265794257/46403", "Subtract: 83067 - 265794257/46403 = 3588763744/46403"], "final_answer": "3588763744/46403", "answer_type": "rational", "kind": "expression", "math_text": "83067 - (-2127 / 46403 + 5728)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83067, \"b\": -2127, \"c\": 46403, \"d\": 5728}", "seed": "1798282267592545345", "semantic_fingerprint": "sha256:b9f773f7baf04c9c47979e9dd7af23ab900b1e869c7029cd8885ddb80ea9d424", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000124", "prompt": "What value of x satisfies 24(x - 34745) = -30(x - 7802)?", "solution_steps": ["Expand: 24x - 833880 = -30(x - 7802)", "Expand: 24x - 833880 = -30x + 234060", "Add 30x to both sides: 54x - 833880 = 234060", "Add 833880 to both sides: 54x = 1067940", "Divide both sides by 54: x = 59330/3"], "final_answer": "59330/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 34745) = -30(x - 7802)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 34745, \"c\": -30, \"d\": 7802}", "seed": "7212960847924396654", "semantic_fingerprint": "sha256:04d9d063f72c070bc890d97b438ad5641cdf21a43cc7fddec4f73c449de92261", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000125", "prompt": "Solve the equation 23(x - 4428) - 5972 = 37x - 8720 for x.", "solution_steps": ["Expand: 23x - 101844 - 5972 = 37x - 8720", "Combine constants: 23x - 107816 = 37x - 8720", "Subtract 37x from both sides: -14x - 107816 = -8720", "Add 107816 to both sides: -14x = 99096", "Divide both sides by -14: x = -49548/7"], "final_answer": "-49548/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 4428) - 5972 = 37x - 8720", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 4428, \"c\": 5972, \"d\": 37, \"e\": 8720}", "seed": "13902398915251114808", "semantic_fingerprint": "sha256:552f13fc54f770ff9e0ff2266b44559ba27c0bbab47b9c53206cdc2aa2a12da0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000126", "prompt": "Calculate: 6144 + 2449", "solution_steps": ["Add: 6144 + 2449 = 8593"], "final_answer": "8593", "answer_type": "integer", "kind": "expression", "math_text": "6144 + 2449", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6144, \"b\": 2449}", "seed": "8209544761865580020", "semantic_fingerprint": "sha256:867611396a2afed55295720e43c7871914d8fbb81519f646bdc22b03641d3e68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000127", "prompt": "Evaluate: -7493 * (-6889) + 3572", "solution_steps": ["Multiply: -7493 * (-6889) = 51619277", "Add: 51619277 + 3572 = 51622849"], "final_answer": "51622849", "answer_type": "integer", "kind": "expression", "math_text": "-7493 * (-6889) + 3572", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7493, \"b\": -6889, \"c\": 3572}", "seed": "18311787595712127162", "semantic_fingerprint": "sha256:6c51bfe3fd607ed3f0b2fc41230405ee7f4e022151efce681e8689b8fc5ab995", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000128", "prompt": "Find x: x - 7692 = 25x - 12012", "solution_steps": ["Subtract 25x from both sides: -24x - 7692 = -12012", "Add 7692 to both sides: -24x = -4320", "Divide both sides by -24: x = 180"], "final_answer": "180", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7692 = 25x - 12012", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7692, \"b\": 25, \"d\": -12012, \"x\": 180}", "seed": "766531531706296055", "semantic_fingerprint": "sha256:102fcbe9bc5b5434a6c4288947b1a8cb49bd07e576f4d2f8a822dc2b0d16dd10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000129", "prompt": "Evaluate: 5843 - 5522 - (-23117)", "solution_steps": ["Subtract: 5843 - 5522 = 321", "Subtract: 321 - (-23117) = 23438"], "final_answer": "23438", "answer_type": "integer", "kind": "expression", "math_text": "5843 - 5522 - (-23117)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5843, \"b\": 5522, \"c\": -23117}", "seed": "3365500162688690111", "semantic_fingerprint": "sha256:990fa4842dd7518a0f27811dca3602bb03d2ee9007029b30f4409d196c264654", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000130", "prompt": "Evaluate: -6478 + (-30970) * (-83480 + 88719 - (-7990))", "solution_steps": ["Add: -83480 + 88719 = 5239", "Subtract: 5239 - (-7990) = 13229", "Multiply: -30970 * 13229 = -409702130", "Add: -6478 + (-409702130) = -409708608"], "final_answer": "-409708608", "answer_type": "integer", "kind": "expression", "math_text": "-6478 + (-30970) * (-83480 + 88719 - (-7990))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6478, \"b\": -30970, \"c\": -83480, \"d\": 88719, \"e\": -7990}", "seed": "18337816339455855516", "semantic_fingerprint": "sha256:7341f95254ab2567b78cc388ac41fb9c3bb1c0618724f19de9a05b9667026082", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000131", "prompt": "Compute: 84876 * (-8494 + 9123)", "solution_steps": ["Add: -8494 + 9123 = 629", "Multiply: 84876 * 629 = 53387004"], "final_answer": "53387004", "answer_type": "integer", "kind": "expression", "math_text": "84876 * (-8494 + 9123)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84876, \"b\": -8494, \"c\": 9123}", "seed": "1083918000856560114", "semantic_fingerprint": "sha256:aef076d5b8d8d932848374eb779f56088852a9711679ee786809840124ea40de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000132", "prompt": "Evaluate: -7795 + (-5338)", "solution_steps": ["Add: -7795 + (-5338) = -13133"], "final_answer": "-13133", "answer_type": "integer", "kind": "expression", "math_text": "-7795 + (-5338)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7795, \"b\": -5338}", "seed": "13891874672616636680", "semantic_fingerprint": "sha256:ba5564457f86a500d6fd27ecde75c4ed64a34328cd7a43ca8144056de2c545c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000133", "prompt": "What is 51330 / 15991 * 15251?", "solution_steps": ["Divide: 51330 / 15991 = 51330/15991", "Multiply: (51330/15991) * 15251 = 782833830/15991"], "final_answer": "782833830/15991", "answer_type": "rational", "kind": "expression", "math_text": "51330 / 15991 * 15251", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 51330, \"b\": 15991, \"c\": 15251}", "seed": "8358808918190690672", "semantic_fingerprint": "sha256:46de3d62ec604a58b365dbaf902f7dbd0c0c1c9f74c26e323cb5032d7ecb79cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000134", "prompt": "Solve for x: -16(x - 3413) = 32x + 48080", "solution_steps": ["Expand: -16x + 54608 = 32x + 48080", "Subtract 32x from both sides: -48x + 54608 = 48080", "Subtract 54608 from both sides: -48x = -6528", "Divide both sides by -48: x = 136"], "final_answer": "136", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16(x - 3413) = 32x + 48080", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 3413, \"c\": 32, \"e\": 48080, \"x\": 136}", "seed": "10842620806625221247", "semantic_fingerprint": "sha256:480640ca516a3d2356e078709a9733db663529b43b5857a1ceb441b081423fc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000135", "prompt": "What is -7753 / 7566?", "solution_steps": ["Divide: -7753 / 7566 = -7753/7566"], "final_answer": "-7753/7566", "answer_type": "rational", "kind": "expression", "math_text": "-7753 / 7566", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7753, \"b\": 7566}", "seed": "18332734392365718798", "semantic_fingerprint": "sha256:f30678224809f344b7ca244436928ab1507d04ce429e4ce46ab291627e1ec77e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000136", "prompt": "What value of x satisfies 21x - 8193 = -5253?", "solution_steps": ["Add 8193 to both sides: 21x = 2940", "Divide both sides by 21: x = 140"], "final_answer": "140", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x - 8193 = -5253", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 8193, \"d\": -5253, \"x\": 140}", "seed": "18215438697600576140", "semantic_fingerprint": "sha256:becdc7f3c10bc3cf07137d67c4566b395dc695d4fe428b077b6d25564bc38034", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000137", "prompt": "Calculate: 72938 - (-53070) / (75185 + 45157)", "solution_steps": ["Add: 75185 + 45157 = 120342", "Divide: -53070 / 120342 = -8845/20057", "Subtract: 72938 - (-8845/20057) = 1462926311/20057"], "final_answer": "1462926311/20057", "answer_type": "rational", "kind": "expression", "math_text": "72938 - (-53070) / (75185 + 45157)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72938, \"b\": -53070, \"c\": 75185, \"d\": 45157}", "seed": "4617831497561328774", "semantic_fingerprint": "sha256:22b4fcfea2deccd5a38e45e30e63991f908c60f6432ddac58f786c4be67fdbe3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000138", "prompt": "Evaluate: -24857 / (7500 + (-7272))", "solution_steps": ["Add: 7500 + (-7272) = 228", "Divide: -24857 / 228 = -24857/228"], "final_answer": "-24857/228", "answer_type": "rational", "kind": "expression", "math_text": "-24857 / (7500 + (-7272))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24857, \"b\": 7500, \"c\": -7272}", "seed": "16458057114009515077", "semantic_fingerprint": "sha256:3c3726b20e662016f54360489731b31788d1fb6036fd168adaf70c460217ffd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000139", "prompt": "Find x: x = -20x - 2520", "solution_steps": ["Add 20x to both sides: 21x = -2520", "Divide both sides by 21: x = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -20x - 2520", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"c\": -2520, \"x\": -120}", "seed": "12939444595189515226", "semantic_fingerprint": "sha256:1b94ffee2954c87c45ce4c253bfd54024ead4f3204d20c487f511cbd8dd9159b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000140", "prompt": "Compute: -4769 / 5722", "solution_steps": ["Divide: -4769 / 5722 = -4769/5722"], "final_answer": "-4769/5722", "answer_type": "rational", "kind": "expression", "math_text": "-4769 / 5722", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4769, \"b\": 5722}", "seed": "850098980479378564", "semantic_fingerprint": "sha256:94712a6e6dce9dfc48279582ce6ce2beab76a080dc2f57fdd66787811c8ea675", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000141", "prompt": "Evaluate: 59309 - 4955 / 3913", "solution_steps": ["Divide: 4955 / 3913 = 4955/3913", "Subtract: 59309 - 4955/3913 = 232071162/3913"], "final_answer": "232071162/3913", "answer_type": "rational", "kind": "expression", "math_text": "59309 - 4955 / 3913", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59309, \"b\": 4955, \"c\": 3913}", "seed": "11017765396271308172", "semantic_fingerprint": "sha256:8e67d7c210237eee38815da1af5169412c5b1f86015134d2fb621eb3881536ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000142", "prompt": "Find x: 26x = 35x + 1791", "solution_steps": ["Subtract 35x from both sides: -9x = 1791", "Divide both sides by -9: x = -199"], "final_answer": "-199", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x = 35x + 1791", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 35, \"d\": 1791, \"x\": -199}", "seed": "13697260713928442989", "semantic_fingerprint": "sha256:a07d7f5523642865745bbc4b35037dab9e1c426a4a0e304494e5cb2afa743b77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000143", "prompt": "What value of x satisfies x - 96861 = 28x?", "solution_steps": ["Subtract 28x from both sides: -27x - 96861 = 0", "Add 96861 to both sides: -27x = 96861", "Divide both sides by -27: x = -32287/9"], "final_answer": "-32287/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 96861 = 28x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96861, \"b\": 28}", "seed": "1112032225661112090", "semantic_fingerprint": "sha256:f541e29125c18d9b5b39e9d5859621ef6c07b9d43f732c51afaa95526fabfc6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000144", "prompt": "Find x: -23x - 40420 = -42329", "solution_steps": ["Add 40420 to both sides: -23x = -1909", "Divide both sides by -23: x = 83"], "final_answer": "83", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x - 40420 = -42329", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 40420, \"d\": -42329, \"x\": 83}", "seed": "13281168999151522006", "semantic_fingerprint": "sha256:5145b82de6d2df23d584c7cb1ee89bb19def888bc405a87f54fae1ce9d215cfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000145", "prompt": "Compute: (-85994 + 86522) * (6966 * (-8591))", "solution_steps": ["Add: -85994 + 86522 = 528", "Multiply: 6966 * (-8591) = -59844906", "Multiply: 528 * (-59844906) = -31598110368"], "final_answer": "-31598110368", "answer_type": "integer", "kind": "expression", "math_text": "(-85994 + 86522) * (6966 * (-8591))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -85994, \"b\": 86522, \"c\": 6966, \"d\": -8591}", "seed": "10280053016417378164", "semantic_fingerprint": "sha256:12a063446f4e76f4ceffdef793c5c459e714cf4b3ac230a3408cee5303deac66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000146", "prompt": "What is -8300 - (-3360) / (-6823)?", "solution_steps": ["Divide: -3360 / (-6823) = 3360/6823", "Subtract: -8300 - 3360/6823 = -56634260/6823"], "final_answer": "-56634260/6823", "answer_type": "rational", "kind": "expression", "math_text": "-8300 - (-3360) / (-6823)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8300, \"b\": -3360, \"c\": -6823}", "seed": "12446871128233013169", "semantic_fingerprint": "sha256:eee1b87c97d4ab0eb6fbf8d445ec063c6eab3461a6b420117b347d669eb1c209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000147", "prompt": "Calculate: -5726 * (-43113)", "solution_steps": ["Multiply: -5726 * (-43113) = 246865038"], "final_answer": "246865038", "answer_type": "integer", "kind": "expression", "math_text": "-5726 * (-43113)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5726, \"b\": -43113}", "seed": "11551582673472662988", "semantic_fingerprint": "sha256:d9e3185ab6c53e45576f2aa4b7511ecc171dbf259425a0145ef7568d752b312c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000148", "prompt": "Solve the equation 37(x + 2023) = -32x for x.", "solution_steps": ["Expand: 37x + 74851 = -32x", "Add 32x to both sides: 69x + 74851 = 0", "Subtract 74851 from both sides: 69x = -74851", "Divide both sides by 69: x = -74851/69"], "final_answer": "-74851/69", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 2023) = -32x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2023, \"c\": -32}", "seed": "7703813152348162340", "semantic_fingerprint": "sha256:d1d559783b01cd6a8d56217000dec9a1025de1b742c440aaecdb7354ba81ebc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000149", "prompt": "Compute: 34049 / 8873 + 95325 - 52785 - (-7244 - (-8975))", "solution_steps": ["Divide: 34049 / 8873 = 34049/8873", "Add: 34049/8873 + 95325 = 845852774/8873", "Subtract: 845852774/8873 - 52785 = 377491469/8873", "Subtract: -7244 - (-8975) = 1731", "Subtract: 377491469/8873 - 1731 = 362132306/8873"], "final_answer": "362132306/8873", "answer_type": "rational", "kind": "expression", "math_text": "34049 / 8873 + 95325 - 52785 - (-7244 - (-8975))", "variable": null, "family": "expression_5op", "shape": "(- (- (+ (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34049, \"b\": 8873, \"c\": 95325, \"d\": 52785, \"e\": -7244, \"f\": -8975}", "seed": "10602417087211262756", "semantic_fingerprint": "sha256:e641878249ec548f32392b3d3ce1066e93a16662131c2d0951ff142946fa2844", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000150", "prompt": "What is -4876 + (9375 - 7360)?", "solution_steps": ["Subtract: 9375 - 7360 = 2015", "Add: -4876 + 2015 = -2861"], "final_answer": "-2861", "answer_type": "integer", "kind": "expression", "math_text": "-4876 + (9375 - 7360)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4876, \"b\": 9375, \"c\": 7360}", "seed": "6015065161240763676", "semantic_fingerprint": "sha256:e26ca35a600bd0694763280f5a683b95824140639c522b1654d2d4a822c4126f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000151", "prompt": "Solve the equation 17x + 94511 = x - 35736 for x.", "solution_steps": ["Subtract x from both sides: 16x + 94511 = -35736", "Subtract 94511 from both sides: 16x = -130247", "Divide both sides by 16: x = -130247/16"], "final_answer": "-130247/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x + 94511 = x - 35736", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 94511, \"c\": 35736}", "seed": "4674985956852348450", "semantic_fingerprint": "sha256:962d84e8f3825ce31f7aba103e834b23ac45fceebd85c8ee9d8f021196d5aca5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000152", "prompt": "Find x: -24x + 5288 = 19(x + 5004)", "solution_steps": ["Expand: -24x + 5288 = 19x + 95076", "Subtract 19x from both sides: -43x + 5288 = 95076", "Subtract 5288 from both sides: -43x = 89788", "Divide both sides by -43: x = -89788/43"], "final_answer": "-89788/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x + 5288 = 19(x + 5004)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 5288, \"c\": 19, \"d\": 5004}", "seed": "17371940752243772011", "semantic_fingerprint": "sha256:5c3c2c226631728834c8568b891ac99e33ffbdeaaf3bcbd161679a12702847f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000153", "prompt": "What is (1418 - (-2538)) * (-4793)?", "solution_steps": ["Subtract: 1418 - (-2538) = 3956", "Multiply: 3956 * (-4793) = -18961108"], "final_answer": "-18961108", "answer_type": "integer", "kind": "expression", "math_text": "(1418 - (-2538)) * (-4793)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1418, \"b\": -2538, \"c\": -4793}", "seed": "9021543811423138183", "semantic_fingerprint": "sha256:698faf259f1654456f75dd24c90c06aef8fffa6d79cf05e300707d4e8c8e1dfc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000154", "prompt": "Compute: (-5370 - (-15165)) * ((-7462 + 5305) / 6881)", "solution_steps": ["Subtract: -5370 - (-15165) = 9795", "Add: -7462 + 5305 = -2157", "Divide: -2157 / 6881 = -2157/6881", "Multiply: 9795 * (-2157/6881) = -21127815/6881"], "final_answer": "-21127815/6881", "answer_type": "rational", "kind": "expression", "math_text": "(-5370 - (-15165)) * ((-7462 + 5305) / 6881)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5370, \"b\": -15165, \"c\": -7462, \"d\": 5305, \"e\": 6881}", "seed": "8035423695212169469", "semantic_fingerprint": "sha256:e47ce3909c557785c655f134454f55c7105601697ba6ce118c4c12f834ad19d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000155", "prompt": "Compute: 34164 - (10625 + 28702) + (-6942) / 15088", "solution_steps": ["Add: 10625 + 28702 = 39327", "Subtract: 34164 - 39327 = -5163", "Divide: -6942 / 15088 = -3471/7544", "Add: -5163 + (-3471/7544) = -38953143/7544"], "final_answer": "-38953143/7544", "answer_type": "rational", "kind": "expression", "math_text": "34164 - (10625 + 28702) + (-6942) / 15088", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34164, \"b\": 10625, \"c\": 28702, \"d\": -6942, \"e\": 15088}", "seed": "13431144401571684546", "semantic_fingerprint": "sha256:3a1f1139bdc3c7f80aef4a55010e5614a28fc034e65108ea57c0e5d1dec941f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000156", "prompt": "Compute: 9424 * (-79849) / (-8824)", "solution_steps": ["Multiply: 9424 * (-79849) = -752496976", "Divide: -752496976 / (-8824) = 94062122/1103"], "final_answer": "94062122/1103", "answer_type": "rational", "kind": "expression", "math_text": "9424 * (-79849) / (-8824)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9424, \"b\": -79849, \"c\": -8824}", "seed": "10723270242017165898", "semantic_fingerprint": "sha256:2bda4789dd20ed6a38f2050dc440c8f07f2a3b97799ca4228774838ec9c32c59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000157", "prompt": "What is -4984 - 63434 * 5444?", "solution_steps": ["Multiply: 63434 * 5444 = 345334696", "Subtract: -4984 - 345334696 = -345339680"], "final_answer": "-345339680", "answer_type": "integer", "kind": "expression", "math_text": "-4984 - 63434 * 5444", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4984, \"b\": 63434, \"c\": 5444}", "seed": "4008305522410786155", "semantic_fingerprint": "sha256:6a35f70f0fd37bc8d4a0a2d377d6326d51417dc74a3662fd29aa995829253c6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000158", "prompt": "Solve for x: 19(x - 3391) + 2904 = x - 58645", "solution_steps": ["Expand: 19x - 64429 + 2904 = x - 58645", "Combine constants: 19x - 61525 = x - 58645", "Subtract x from both sides: 18x - 61525 = -58645", "Add 61525 to both sides: 18x = 2880", "Divide both sides by 18: x = 160"], "final_answer": "160", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 3391) + 2904 = x - 58645", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3391, \"c\": 2904, \"e\": -58645, \"x\": 160}", "seed": "6541088475003548763", "semantic_fingerprint": "sha256:ef3808ec1bb27fd9c8f32c6b3f9f564c7f80d7fe2ac1da6fc4fcb20aff8deaac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000159", "prompt": "Calculate: -27668 / 64788 + 4115 - 45704", "solution_steps": ["Divide: -27668 / 64788 = -6917/16197", "Add: -6917/16197 + 4115 = 66643738/16197", "Subtract: 66643738/16197 - 45704 = -673623950/16197"], "final_answer": "-673623950/16197", "answer_type": "rational", "kind": "expression", "math_text": "-27668 / 64788 + 4115 - 45704", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27668, \"b\": 64788, \"c\": 4115, \"d\": 45704}", "seed": "9018124590596396418", "semantic_fingerprint": "sha256:fa2439644bd5e30205940036a7e991a280edf8597de64344d750f6684dfa41fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000160", "prompt": "What is -9820 - (-3914 - 68654) / 8800?", "solution_steps": ["Subtract: -3914 - 68654 = -72568", "Divide: -72568 / 8800 = -9071/1100", "Subtract: -9820 - (-9071/1100) = -10792929/1100"], "final_answer": "-10792929/1100", "answer_type": "rational", "kind": "expression", "math_text": "-9820 - (-3914 - 68654) / 8800", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9820, \"b\": -3914, \"c\": 68654, \"d\": 8800}", "seed": "10808408654564392741", "semantic_fingerprint": "sha256:4fc21d7a9066f88de6311ffda91f454c6abaffda09687a794a07e11ae3fec3de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000161", "prompt": "Calculate: (-2273 + (-56061)) / (-89590)", "solution_steps": ["Add: -2273 + (-56061) = -58334", "Divide: -58334 / (-89590) = 29167/44795"], "final_answer": "29167/44795", "answer_type": "rational", "kind": "expression", "math_text": "(-2273 + (-56061)) / (-89590)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2273, \"b\": -56061, \"c\": -89590}", "seed": "14731916665149012772", "semantic_fingerprint": "sha256:fbcea5f9515e1fe8ed13dd1f403bb105022c411dc2fd400495979447227f31f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000162", "prompt": "What value of x satisfies 19x + 2577 = 24x + 2332?", "solution_steps": ["Subtract 24x from both sides: -5x + 2577 = 2332", "Subtract 2577 from both sides: -5x = -245", "Divide both sides by -5: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 2577 = 24x + 2332", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2577, \"c\": 24, \"e\": 2332, \"x\": 49}", "seed": "11121953682604120397", "semantic_fingerprint": "sha256:df3b6cf5e6116d21fe62319797fe25ebe8aac0b3a385da7db61fb2e9f2532adc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000163", "prompt": "What is -9412 / (-8770)?", "solution_steps": ["Divide: -9412 / (-8770) = 4706/4385"], "final_answer": "4706/4385", "answer_type": "rational", "kind": "expression", "math_text": "-9412 / (-8770)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9412, \"b\": -8770}", "seed": "817988715725814428", "semantic_fingerprint": "sha256:422ca5bc2afa65ebeea74d52314b27197b65b469a05d7292088506e60dac7826", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000164", "prompt": "Solve for x: 22x + 4261 = 36x + 3364", "solution_steps": ["Subtract 36x from both sides: -14x + 4261 = 3364", "Subtract 4261 from both sides: -14x = -897", "Divide both sides by -14: x = 897/14"], "final_answer": "897/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x + 4261 = 36x + 3364", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 4261, \"c\": 36, \"d\": 3364}", "seed": "3991050934067980101", "semantic_fingerprint": "sha256:94341f0bc0eed513caddac244ef6ad2f75ecdd502adcb0b158813825dc465c82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000165", "prompt": "Compute: (72317 + (1102 + 3432)) / 9518", "solution_steps": ["Add: 1102 + 3432 = 4534", "Add: 72317 + 4534 = 76851", "Divide: 76851 / 9518 = 76851/9518"], "final_answer": "76851/9518", "answer_type": "rational", "kind": "expression", "math_text": "(72317 + (1102 + 3432)) / 9518", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72317, \"b\": 1102, \"c\": 3432, \"d\": 9518}", "seed": "11891908409096157544", "semantic_fingerprint": "sha256:f5aab2334fdcc5eee7c6dcd0292d91f46ea6b45b377c3224675440870d2e2a92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000166", "prompt": "Compute: 7549 + 5795 * (-8911) * (7580 - 8236)", "solution_steps": ["Multiply: 5795 * (-8911) = -51639245", "Subtract: 7580 - 8236 = -656", "Multiply: -51639245 * (-656) = 33875344720", "Add: 7549 + 33875344720 = 33875352269"], "final_answer": "33875352269", "answer_type": "integer", "kind": "expression", "math_text": "7549 + 5795 * (-8911) * (7580 - 8236)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7549, \"b\": 5795, \"c\": -8911, \"d\": 7580, \"e\": 8236}", "seed": "4197081375955900420", "semantic_fingerprint": "sha256:733c4b23cc1f7f6de5eb2a071bb31b990f125a44e96b28721fa502aa31a3a1c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000167", "prompt": "Find x: 15(x + 8421) = 17x", "solution_steps": ["Expand: 15x + 126315 = 17x", "Subtract 17x from both sides: -2x + 126315 = 0", "Subtract 126315 from both sides: -2x = -126315", "Divide both sides by -2: x = 126315/2"], "final_answer": "126315/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 8421) = 17x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 8421, \"c\": 17}", "seed": "4968420842773063875", "semantic_fingerprint": "sha256:483f9ebfc7917c1271ec7b748201c6eea16e94343e6fcbbcba7983c83c5f9ac9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000168", "prompt": "Calculate: 44243 * ((-2012 - (2246 - (-18934))) / (-67770))", "solution_steps": ["Subtract: 2246 - (-18934) = 21180", "Subtract: -2012 - 21180 = -23192", "Divide: -23192 / (-67770) = 11596/33885", "Multiply: 44243 * (11596/33885) = 513041828/33885"], "final_answer": "513041828/33885", "answer_type": "rational", "kind": "expression", "math_text": "44243 * ((-2012 - (2246 - (-18934))) / (-67770))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 44243, \"b\": -2012, \"c\": 2246, \"d\": -18934, \"e\": -67770}", "seed": "11328282582410419165", "semantic_fingerprint": "sha256:7b6f146264e17d1c369b8c32c5848d665f4b65c6bea9cbe17d7d5144a0709250", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000169", "prompt": "Evaluate: 96829 * (-27877) / 5187", "solution_steps": ["Multiply: 96829 * (-27877) = -2699302033", "Divide: -2699302033 / 5187 = -2699302033/5187"], "final_answer": "-2699302033/5187", "answer_type": "rational", "kind": "expression", "math_text": "96829 * (-27877) / 5187", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96829, \"b\": -27877, \"c\": 5187}", "seed": "15287382035725798440", "semantic_fingerprint": "sha256:5824cb0347280e350978a94bdbe341b3599892b8ee1a4ba665f3740db5c681d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000170", "prompt": "Compute: 8004 + 3992 / (-6172)", "solution_steps": ["Divide: 3992 / (-6172) = -998/1543", "Add: 8004 + (-998/1543) = 12349174/1543"], "final_answer": "12349174/1543", "answer_type": "rational", "kind": "expression", "math_text": "8004 + 3992 / (-6172)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8004, \"b\": 3992, \"c\": -6172}", "seed": "3860116315386316633", "semantic_fingerprint": "sha256:37d5b9b4d71184efaab2846c1dc31a3f7f690c6b04fe1c897849cdf654fac5c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000171", "prompt": "Calculate: -1349 * (-1782) - 7816", "solution_steps": ["Multiply: -1349 * (-1782) = 2403918", "Subtract: 2403918 - 7816 = 2396102"], "final_answer": "2396102", "answer_type": "integer", "kind": "expression", "math_text": "-1349 * (-1782) - 7816", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1349, \"b\": -1782, \"c\": 7816}", "seed": "11341495414604139533", "semantic_fingerprint": "sha256:606f505a5b49882e8feea194c4442e177c4f2a1a8792ecdd806e2187cf7788ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000172", "prompt": "Calculate: 5796 + (-9654 - 38373 + 7980) + 18423", "solution_steps": ["Subtract: -9654 - 38373 = -48027", "Add: -48027 + 7980 = -40047", "Add: 5796 + (-40047) = -34251", "Add: -34251 + 18423 = -15828"], "final_answer": "-15828", "answer_type": "integer", "kind": "expression", "math_text": "5796 + (-9654 - 38373 + 7980) + 18423", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5796, \"b\": -9654, \"c\": 38373, \"d\": 7980, \"e\": 18423}", "seed": "13010762501637297111", "semantic_fingerprint": "sha256:bb06025aff3fe500d7e74ed0b972e442f641bf0474cf48590c1f057bcf11fd54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000173", "prompt": "What value of x satisfies -20(x - 3179) + 4441 = x - 54508?", "solution_steps": ["Expand: -20x + 63580 + 4441 = x - 54508", "Combine constants: -20x + 68021 = x - 54508", "Subtract x from both sides: -21x + 68021 = -54508", "Subtract 68021 from both sides: -21x = -122529", "Divide both sides by -21: x = 40843/7"], "final_answer": "40843/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 3179) + 4441 = x - 54508", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 3179, \"c\": 4441, \"d\": 54508}", "seed": "6239563153582249130", "semantic_fingerprint": "sha256:8a6e5194a6acaf97bad22e0a6c980871ae8f96eeac62129c2eb8c23b7f13e1c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000174", "prompt": "Calculate: -79674 * (-23088 - (6252 - (-79641) + (74372 - 8336)))", "solution_steps": ["Subtract: 6252 - (-79641) = 85893", "Subtract: 74372 - 8336 = 66036", "Add: 85893 + 66036 = 151929", "Subtract: -23088 - 151929 = -175017", "Multiply: -79674 * (-175017) = 13944304458"], "final_answer": "13944304458", "answer_type": "integer", "kind": "expression", "math_text": "-79674 * (-23088 - (6252 - (-79641) + (74372 - 8336)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (+ (- n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -79674, \"b\": -23088, \"c\": 6252, \"d\": -79641, \"e\": 74372, \"f\": 8336}", "seed": "6640849980944234181", "semantic_fingerprint": "sha256:ccf46359aafd5d86be4adcee7e06565c90540ef1c6e29083b838bbcd1d935c75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000175", "prompt": "Calculate: 3827 / (-92312) * (-62229)", "solution_steps": ["Divide: 3827 / (-92312) = -3827/92312", "Multiply: (-3827/92312) * (-62229) = 238150383/92312"], "final_answer": "238150383/92312", "answer_type": "rational", "kind": "expression", "math_text": "3827 / (-92312) * (-62229)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3827, \"b\": -92312, \"c\": -62229}", "seed": "2525303949393026078", "semantic_fingerprint": "sha256:1bd617ec113677df4f85e7b744d48b299fecc3443be3a6c0ba7bcb421e74f913", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000176", "prompt": "What is 26028 - (-15628) - (-5159) - (-9849 + (-71129))?", "solution_steps": ["Subtract: 26028 - (-15628) = 41656", "Subtract: 41656 - (-5159) = 46815", "Add: -9849 + (-71129) = -80978", "Subtract: 46815 - (-80978) = 127793"], "final_answer": "127793", "answer_type": "integer", "kind": "expression", "math_text": "26028 - (-15628) - (-5159) - (-9849 + (-71129))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26028, \"b\": -15628, \"c\": -5159, \"d\": -9849, \"e\": -71129}", "seed": "17840130524498820337", "semantic_fingerprint": "sha256:fa2d79377fa588136717acf6f02fefb8523e3e4691edb04f383c83b6be00ad8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000177", "prompt": "Solve the equation x = -32x - 5544 for x.", "solution_steps": ["Add 32x to both sides: 33x = -5544", "Divide both sides by 33: x = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -32x - 5544", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"c\": -5544, \"x\": -168}", "seed": "17813506159276528522", "semantic_fingerprint": "sha256:b42fc52d6437159fe97c311af3d342e940dc5a2788a4e89c44482077fe697ee3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000178", "prompt": "Solve for x: 30(x + 37373) = x", "solution_steps": ["Expand: 30x + 1121190 = x", "Subtract x from both sides: 29x + 1121190 = 0", "Subtract 1121190 from both sides: 29x = -1121190", "Divide both sides by 29: x = -1121190/29"], "final_answer": "-1121190/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 37373) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 37373}", "seed": "2623504473963030500", "semantic_fingerprint": "sha256:103ab82a2c40501832a4c497d48d64abf8d0a3c551a3083e8bdb64434faec199", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000179", "prompt": "Compute: -48467 - (6924 - 2072)", "solution_steps": ["Subtract: 6924 - 2072 = 4852", "Subtract: -48467 - 4852 = -53319"], "final_answer": "-53319", "answer_type": "integer", "kind": "expression", "math_text": "-48467 - (6924 - 2072)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48467, \"b\": 6924, \"c\": 2072}", "seed": "16243398604068234443", "semantic_fingerprint": "sha256:a142abbb5b842f3fa9dfb7d76b6687bcc27e1a7a08e9a491cd88d6e41a4b9b13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000180", "prompt": "What value of x satisfies x + 5365 = 30x?", "solution_steps": ["Subtract 30x from both sides: -29x + 5365 = 0", "Subtract 5365 from both sides: -29x = -5365", "Divide both sides by -29: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5365 = 30x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": 5365, \"x\": 185}", "seed": "8470065852840606916", "semantic_fingerprint": "sha256:cfb7488b2df2d30cb9f6bf09e0f4e877d718662eeaabfc531e7cc6dac4a8ff17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000181", "prompt": "Solve for x: -35(x - 9270) + 82743 = x", "solution_steps": ["Expand: -35x + 324450 + 82743 = x", "Combine constants: -35x + 407193 = x", "Subtract x from both sides: -36x + 407193 = 0", "Subtract 407193 from both sides: -36x = -407193", "Divide both sides by -36: x = 135731/12"], "final_answer": "135731/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 9270) + 82743 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 9270, \"c\": 82743}", "seed": "1412613870619862169", "semantic_fingerprint": "sha256:3342a35e31588bc39a1d61e683c6b15aef4fdaa0e89692fffa91cb918044d96d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000182", "prompt": "Compute: (-8367 + 51960) / (-8265)", "solution_steps": ["Add: -8367 + 51960 = 43593", "Divide: 43593 / (-8265) = -14531/2755"], "final_answer": "-14531/2755", "answer_type": "rational", "kind": "expression", "math_text": "(-8367 + 51960) / (-8265)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8367, \"b\": 51960, \"c\": -8265}", "seed": "14759963423938149067", "semantic_fingerprint": "sha256:92a7508f91a772a1116bbb0fbbd4315edf9b6b498507c1def5eb76b4f28dede9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000183", "prompt": "Compute: 4504 * (1482 / (-20158))", "solution_steps": ["Divide: 1482 / (-20158) = -741/10079", "Multiply: 4504 * (-741/10079) = -3337464/10079"], "final_answer": "-3337464/10079", "answer_type": "rational", "kind": "expression", "math_text": "4504 * (1482 / (-20158))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4504, \"b\": 1482, \"c\": -20158}", "seed": "8383556560974255896", "semantic_fingerprint": "sha256:60829922cad080e34a5e73cb6c8769c06e168e08b8f028e90c26bc55224543e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000184", "prompt": "Find x: 32x + 15420 = 20x + 9211", "solution_steps": ["Subtract 20x from both sides: 12x + 15420 = 9211", "Subtract 15420 from both sides: 12x = -6209", "Divide both sides by 12: x = -6209/12"], "final_answer": "-6209/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 15420 = 20x + 9211", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 15420, \"c\": 20, \"d\": 9211}", "seed": "11935746121451929353", "semantic_fingerprint": "sha256:3fd14f680b0b98af1a2370c6758a9f12484193796d33ecfb07392f7f5c6673f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000185", "prompt": "Calculate: 6630 / (-62600) + 32536 - (2932 + 3465)", "solution_steps": ["Divide: 6630 / (-62600) = -663/6260", "Add: -663/6260 + 32536 = 203674697/6260", "Add: 2932 + 3465 = 6397", "Subtract: 203674697/6260 - 6397 = 163629477/6260"], "final_answer": "163629477/6260", "answer_type": "rational", "kind": "expression", "math_text": "6630 / (-62600) + 32536 - (2932 + 3465)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6630, \"b\": -62600, \"c\": 32536, \"d\": 2932, \"e\": 3465}", "seed": "12108361933084572421", "semantic_fingerprint": "sha256:c43b20de53c00ae62045d0f16f18eac0109f20ecdd332afae6c86d819288e6de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000186", "prompt": "Compute: -3921 - 29961 - (-41693)", "solution_steps": ["Subtract: -3921 - 29961 = -33882", "Subtract: -33882 - (-41693) = 7811"], "final_answer": "7811", "answer_type": "integer", "kind": "expression", "math_text": "-3921 - 29961 - (-41693)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3921, \"b\": 29961, \"c\": -41693}", "seed": "413816666924610121", "semantic_fingerprint": "sha256:b4f50de91804a37d1809f19fbcd6a9efbf56d0a4250818cc0a7861c1730e82b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000187", "prompt": "Solve the equation x = -22(x - 7075) for x.", "solution_steps": ["Expand: x = -22x + 155650", "Add 22x to both sides: 23x = 155650", "Divide both sides by 23: x = 155650/23"], "final_answer": "155650/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22(x - 7075)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 7075}", "seed": "1754513342120678210", "semantic_fingerprint": "sha256:c2ad1d3f7dbee5b80b82b4813cdf451963e3af5a2655091cebc510a6c94ef2cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000188", "prompt": "What is -43774 * (86216 + (-1026)) - (-3905) * (-9605)?", "solution_steps": ["Add: 86216 + (-1026) = 85190", "Multiply: -43774 * 85190 = -3729107060", "Multiply: -3905 * (-9605) = 37507525", "Subtract: -3729107060 - 37507525 = -3766614585"], "final_answer": "-3766614585", "answer_type": "integer", "kind": "expression", "math_text": "-43774 * (86216 + (-1026)) - (-3905) * (-9605)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -43774, \"b\": 86216, \"c\": -1026, \"d\": -3905, \"e\": -9605}", "seed": "3632734672146950887", "semantic_fingerprint": "sha256:93753ba1432523756449c19b724f53710ccac5bb4a90525b6293290501652b70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000189", "prompt": "Calculate: -8961 - (-38389)", "solution_steps": ["Subtract: -8961 - (-38389) = 29428"], "final_answer": "29428", "answer_type": "integer", "kind": "expression", "math_text": "-8961 - (-38389)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8961, \"b\": -38389}", "seed": "3203259577125151887", "semantic_fingerprint": "sha256:787f6cda5454e95e35fd540a3e9bc95e251914373541047ca434e3b31db21635", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000190", "prompt": "What is (6975 + 14516) / 99618?", "solution_steps": ["Add: 6975 + 14516 = 21491", "Divide: 21491 / 99618 = 21491/99618"], "final_answer": "21491/99618", "answer_type": "rational", "kind": "expression", "math_text": "(6975 + 14516) / 99618", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6975, \"b\": 14516, \"c\": 99618}", "seed": "1698916946666813443", "semantic_fingerprint": "sha256:1abaa0e84c254b58e8a0921a388e2d8ec7dc58a29501c7acedcabbd094467bbd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000191", "prompt": "What value of x satisfies -21x + 7940 = 26x - 46614?", "solution_steps": ["Subtract 26x from both sides: -47x + 7940 = -46614", "Subtract 7940 from both sides: -47x = -54554", "Divide both sides by -47: x = 54554/47"], "final_answer": "54554/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21x + 7940 = 26x - 46614", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 7940, \"c\": 26, \"d\": 46614}", "seed": "16104007210080529349", "semantic_fingerprint": "sha256:e5c19078bf86fceb575f1c18f98d116c5ee380a7301fd5868b371e78236ed1d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000192", "prompt": "What is 6710 - 12773?", "solution_steps": ["Subtract: 6710 - 12773 = -6063"], "final_answer": "-6063", "answer_type": "integer", "kind": "expression", "math_text": "6710 - 12773", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6710, \"b\": 12773}", "seed": "12582643984390155369", "semantic_fingerprint": "sha256:3ec0e51e99ab9aac2abaa7d979f2b013d21f59eb4d2ec2bdf2b54652e5aa87f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000193", "prompt": "Evaluate: (1704 - (-95944 + 3465)) * (96800 - (-2178))", "solution_steps": ["Add: -95944 + 3465 = -92479", "Subtract: 1704 - (-92479) = 94183", "Subtract: 96800 - (-2178) = 98978", "Multiply: 94183 * 98978 = 9322044974"], "final_answer": "9322044974", "answer_type": "integer", "kind": "expression", "math_text": "(1704 - (-95944 + 3465)) * (96800 - (-2178))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1704, \"b\": -95944, \"c\": 3465, \"d\": 96800, \"e\": -2178}", "seed": "7027257967526182887", "semantic_fingerprint": "sha256:60d5dc233d1d47785f77713d5d96a455f2f43cf097f8e276b14a862536da9f1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000194", "prompt": "Solve for x: 34(x + 8701) - 2968 = 19(x - 24886) + 60805", "solution_steps": ["Expand: 34x + 295834 - 2968 = 19(x - 24886) + 60805", "Expand: 34x + 295834 - 2968 = 19x - 472834 + 60805", "Combine constants: 34x + 292866 = 19x - 472834 + 60805", "Combine constants: 34x + 292866 = 19x - 412029", "Subtract 19x from both sides: 15x + 292866 = -412029", "Subtract 292866 from both sides: 15x = -704895", "Divide both sides by 15: x = -46993"], "final_answer": "-46993", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x + 8701) - 2968 = 19(x - 24886) + 60805", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 8701, \"c\": 2968, \"d\": 19, \"e\": 24886, \"f\": 60805}", "seed": "8145527183447770118", "semantic_fingerprint": "sha256:0699dce9c40ca4c030dc317980ad4ee7522336661a88b0c2da6f1ed13ed05f53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000195", "prompt": "Calculate: (-9187 + 19498) / (-20554) * (47312 + 4260)", "solution_steps": ["Add: -9187 + 19498 = 10311", "Divide: 10311 / (-20554) = -10311/20554", "Add: 47312 + 4260 = 51572", "Multiply: (-10311/20554) * 51572 = -265879446/10277"], "final_answer": "-265879446/10277", "answer_type": "rational", "kind": "expression", "math_text": "(-9187 + 19498) / (-20554) * (47312 + 4260)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9187, \"b\": 19498, \"c\": -20554, \"d\": 47312, \"e\": 4260}", "seed": "196986707577140201", "semantic_fingerprint": "sha256:35223a601811c8e6df718ad092c797dc18a5b724b80ae4a878b4ceebf2627a89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000196", "prompt": "Compute: (9002 - 52021) * 8619 + (7135 - 9229)", "solution_steps": ["Subtract: 9002 - 52021 = -43019", "Multiply: -43019 * 8619 = -370780761", "Subtract: 7135 - 9229 = -2094", "Add: -370780761 + (-2094) = -370782855"], "final_answer": "-370782855", "answer_type": "integer", "kind": "expression", "math_text": "(9002 - 52021) * 8619 + (7135 - 9229)", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9002, \"b\": 52021, \"c\": 8619, \"d\": 7135, \"e\": 9229}", "seed": "261851963278726406", "semantic_fingerprint": "sha256:3ec4dcad33471173631cebee48fcd6fb254f69be5d34a28ee1b086862856ef80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000197", "prompt": "Find x: x = 22x + 2037", "solution_steps": ["Subtract 22x from both sides: -21x = 2037", "Divide both sides by -21: x = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 22x + 2037", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 2037, \"x\": -97}", "seed": "5877900675081329214", "semantic_fingerprint": "sha256:6cf7135d93d64df857f27407deae20ecf42ce5b0becba083c7562ffe0556fa98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000198", "prompt": "Compute: (5152 * (-7706) + 55877) / 1662 * (-6189 + 9776)", "solution_steps": ["Multiply: 5152 * (-7706) = -39701312", "Add: -39701312 + 55877 = -39645435", "Divide: -39645435 / 1662 = -13215145/554", "Add: -6189 + 9776 = 3587", "Multiply: (-13215145/554) * 3587 = -47402725115/554"], "final_answer": "-47402725115/554", "answer_type": "rational", "kind": "expression", "math_text": "(5152 * (-7706) + 55877) / 1662 * (-6189 + 9776)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5152, \"b\": -7706, \"c\": 55877, \"d\": 1662, \"e\": -6189, \"f\": 9776}", "seed": "8885291368577140703", "semantic_fingerprint": "sha256:ef44a5509be1375d2a66b300f6412125ffce0e371c4aacae1fdbea529cb11c74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000199", "prompt": "Solve the equation -21x - 4299 = -3816 for x.", "solution_steps": ["Add 4299 to both sides: -21x = 483", "Divide both sides by -21: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x - 4299 = -3816", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 4299, \"d\": -3816, \"x\": -23}", "seed": "8245266483915071572", "semantic_fingerprint": "sha256:b6732bd3a15e8a093d2cfc3da212b606092cdf83a09230ac6076f6760ae81ccd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000200", "prompt": "What value of x satisfies 18(x + 3539) - 9504 = -37(x - 3228) - 58583?", "solution_steps": ["Expand: 18x + 63702 - 9504 = -37(x - 3228) - 58583", "Expand: 18x + 63702 - 9504 = -37x + 119436 - 58583", "Combine constants: 18x + 54198 = -37x + 119436 - 58583", "Combine constants: 18x + 54198 = -37x + 60853", "Add 37x to both sides: 55x + 54198 = 60853", "Subtract 54198 from both sides: 55x = 6655", "Divide both sides by 55: x = 121"], "final_answer": "121", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 3539) - 9504 = -37(x - 3228) - 58583", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3539, \"c\": 9504, \"d\": -37, \"e\": 3228, \"g\": -58583, \"x\": 121}", "seed": "9026312491074520324", "semantic_fingerprint": "sha256:65cfe618c42d36876ecc91cd2d149f1e35044eafd83ecc3df2b258382e5ada16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000201", "prompt": "Solve for x: 13(x - 5896) = 30(x + 81508)", "solution_steps": ["Expand: 13x - 76648 = 30(x + 81508)", "Expand: 13x - 76648 = 30x + 2445240", "Subtract 30x from both sides: -17x - 76648 = 2445240", "Add 76648 to both sides: -17x = 2521888", "Divide both sides by -17: x = -2521888/17"], "final_answer": "-2521888/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 5896) = 30(x + 81508)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5896, \"c\": 30, \"d\": 81508}", "seed": "15283342475493920015", "semantic_fingerprint": "sha256:0076d7d5d789a89dd938bb4ed2b63d8b93cbab72ea3e6a06f3a0d47714c40d3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000202", "prompt": "What is 9256 / (-5483 + (-93094))?", "solution_steps": ["Add: -5483 + (-93094) = -98577", "Divide: 9256 / (-98577) = -9256/98577"], "final_answer": "-9256/98577", "answer_type": "rational", "kind": "expression", "math_text": "9256 / (-5483 + (-93094))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9256, \"b\": -5483, \"c\": -93094}", "seed": "10116677315086113714", "semantic_fingerprint": "sha256:a14ebc1a799f2c8b975b4c9dba77fee86045ad1c4c1ff73161abd11f799da9aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000203", "prompt": "Calculate: 39393 - (-4682 + 3901 + (-1340 - (-8886)))", "solution_steps": ["Add: -4682 + 3901 = -781", "Subtract: -1340 - (-8886) = 7546", "Add: -781 + 7546 = 6765", "Subtract: 39393 - 6765 = 32628"], "final_answer": "32628", "answer_type": "integer", "kind": "expression", "math_text": "39393 - (-4682 + 3901 + (-1340 - (-8886)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39393, \"b\": -4682, \"c\": 3901, \"d\": -1340, \"e\": -8886}", "seed": "13631994555835326094", "semantic_fingerprint": "sha256:41a5819065e8b114ab801a73397960a6a5e19777e10675effaf6359997b515ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000204", "prompt": "Compute: -1737 - (-1621)", "solution_steps": ["Subtract: -1737 - (-1621) = -116"], "final_answer": "-116", "answer_type": "integer", "kind": "expression", "math_text": "-1737 - (-1621)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1737, \"b\": -1621}", "seed": "14811834784796431021", "semantic_fingerprint": "sha256:fd0abfc4253fbe070d0aa7944a0f410cfe710d0acccee3f71b976a6b4599e1bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000205", "prompt": "Evaluate: (5439 + 12203) * (9763 + 2858)", "solution_steps": ["Add: 5439 + 12203 = 17642", "Add: 9763 + 2858 = 12621", "Multiply: 17642 * 12621 = 222659682"], "final_answer": "222659682", "answer_type": "integer", "kind": "expression", "math_text": "(5439 + 12203) * (9763 + 2858)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5439, \"b\": 12203, \"c\": 9763, \"d\": 2858}", "seed": "10081206457193919975", "semantic_fingerprint": "sha256:e0d187b6da6e5b8df448594a4dfdfc4beafc2a31fca26783a2e0d2f91246ef0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000206", "prompt": "Calculate: 9227 + 7854 + (4305 + (-4029))", "solution_steps": ["Add: 9227 + 7854 = 17081", "Add: 4305 + (-4029) = 276", "Add: 17081 + 276 = 17357"], "final_answer": "17357", "answer_type": "integer", "kind": "expression", "math_text": "9227 + 7854 + (4305 + (-4029))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9227, \"b\": 7854, \"c\": 4305, \"d\": -4029}", "seed": "81229408677108889", "semantic_fingerprint": "sha256:a2f3088d5040160ce15b485a7a496875afa802db1034580aaf01bd122ed80830", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000207", "prompt": "Compute: (-7549 / (-62325) + (-83113)) * (-8829 - (-47886))", "solution_steps": ["Divide: -7549 / (-62325) = 7549/62325", "Add: 7549/62325 + (-83113) = -5180010176/62325", "Subtract: -8829 - (-47886) = 39057", "Multiply: (-5180010176/62325) * 39057 = -243460478272/75"], "final_answer": "-243460478272/75", "answer_type": "rational", "kind": "expression", "math_text": "(-7549 / (-62325) + (-83113)) * (-8829 - (-47886))", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7549, \"b\": -62325, \"c\": -83113, \"d\": -8829, \"e\": -47886}", "seed": "8350886357909362313", "semantic_fingerprint": "sha256:fc0f2d3024d4ae7c05b2f9213fa0d471307f3d3cee6a79624461593272ce4d39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000208", "prompt": "Solve for x: x - 2111 = 26x + 3471", "solution_steps": ["Subtract 26x from both sides: -25x - 2111 = 3471", "Add 2111 to both sides: -25x = 5582", "Divide both sides by -25: x = -5582/25"], "final_answer": "-5582/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2111 = 26x + 3471", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2111, \"b\": 26, \"c\": 3471}", "seed": "6682906442362612932", "semantic_fingerprint": "sha256:76637469b04f768512a2afc5c1006934bed79c4a18bafe66f5156852677cf938", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000209", "prompt": "Calculate: -44058 + 74626 - 6869 * 36248", "solution_steps": ["Add: -44058 + 74626 = 30568", "Multiply: 6869 * 36248 = 248987512", "Subtract: 30568 - 248987512 = -248956944"], "final_answer": "-248956944", "answer_type": "integer", "kind": "expression", "math_text": "-44058 + 74626 - 6869 * 36248", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -44058, \"b\": 74626, \"c\": 6869, \"d\": 36248}", "seed": "6131180335722649735", "semantic_fingerprint": "sha256:a0558177b1139b0b5b5c0d3262f1fbe86da6338cd32362a1b43b70242cac9c63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000210", "prompt": "Compute: -2538 - 58900", "solution_steps": ["Subtract: -2538 - 58900 = -61438"], "final_answer": "-61438", "answer_type": "integer", "kind": "expression", "math_text": "-2538 - 58900", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2538, \"b\": 58900}", "seed": "7713535214784288217", "semantic_fingerprint": "sha256:369544dd0ff03f72dfa470d52cf1eaff6c64f0fad6528a5cfd87798d8422732c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000211", "prompt": "What value of x satisfies -16x = 22(x - 4206)?", "solution_steps": ["Expand: -16x = 22x - 92532", "Subtract 22x from both sides: -38x = -92532", "Divide both sides by -38: x = 46266/19"], "final_answer": "46266/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x = 22(x - 4206)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 22, \"c\": 4206}", "seed": "10355532363952572015", "semantic_fingerprint": "sha256:8f19ebf868b8a2f32a308f6c1b32068066a2483539f628d5f0d303ad111d935b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000212", "prompt": "What is -11861 / 1364 * (-96135 + 97577) + (-1602)?", "solution_steps": ["Divide: -11861 / 1364 = -11861/1364", "Add: -96135 + 97577 = 1442", "Multiply: (-11861/1364) * 1442 = -8551781/682", "Add: -8551781/682 + (-1602) = -9644345/682"], "final_answer": "-9644345/682", "answer_type": "rational", "kind": "expression", "math_text": "-11861 / 1364 * (-96135 + 97577) + (-1602)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -11861, \"b\": 1364, \"c\": -96135, \"d\": 97577, \"e\": -1602}", "seed": "7880172211226230186", "semantic_fingerprint": "sha256:c14a94b14ee4f5f3ed9584a2fd0b5038a244bce9c3b499cef33b0c4fe618c76c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000213", "prompt": "Calculate: 73611 - (-3683) - (-8244) + 9800", "solution_steps": ["Subtract: 73611 - (-3683) = 77294", "Subtract: 77294 - (-8244) = 85538", "Add: 85538 + 9800 = 95338"], "final_answer": "95338", "answer_type": "integer", "kind": "expression", "math_text": "73611 - (-3683) - (-8244) + 9800", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73611, \"b\": -3683, \"c\": -8244, \"d\": 9800}", "seed": "15308557396227695379", "semantic_fingerprint": "sha256:cfb9d99761551e7ac2cfdd42269dee1a628aa2ba03286e7246d10b8b2446a260", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000214", "prompt": "Compute: 1038 * (-1630) * (-18773 + 33039)", "solution_steps": ["Multiply: 1038 * (-1630) = -1691940", "Add: -18773 + 33039 = 14266", "Multiply: -1691940 * 14266 = -24137216040"], "final_answer": "-24137216040", "answer_type": "integer", "kind": "expression", "math_text": "1038 * (-1630) * (-18773 + 33039)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1038, \"b\": -1630, \"c\": -18773, \"d\": 33039}", "seed": "4960525291610703066", "semantic_fingerprint": "sha256:c798257361fb61caf799a68a89082b37caaa8eef64eb984e5c6598048f833fb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000215", "prompt": "What value of x satisfies x - 48464 = 16(x - 3245)?", "solution_steps": ["Expand: x - 48464 = 16x - 51920", "Subtract 16x from both sides: -15x - 48464 = -51920", "Add 48464 to both sides: -15x = -3456", "Divide both sides by -15: x = 1152/5"], "final_answer": "1152/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 48464 = 16(x - 3245)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48464, \"b\": 16, \"c\": 3245}", "seed": "9681091618499674559", "semantic_fingerprint": "sha256:0603c6ef7e1c8a3935b4ed36283b42d0097a51e3c668b8d8c139c48a8db64821", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000216", "prompt": "Find x: 39x - 3533 = 40(x + 1852) - 77710", "solution_steps": ["Expand: 39x - 3533 = 40x + 74080 - 77710", "Combine constants: 39x - 3533 = 40x - 3630", "Subtract 40x from both sides: -x - 3533 = -3630", "Add 3533 to both sides: -x = -97", "Divide both sides by -1: x = 97"], "final_answer": "97", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x - 3533 = 40(x + 1852) - 77710", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 3533, \"c\": 40, \"d\": 1852, \"f\": -77710, \"x\": 97}", "seed": "9308449599295084964", "semantic_fingerprint": "sha256:73524666f5cbfe3db945162990de17084168d7b22dc4909112ca5e506bc29d29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000217", "prompt": "Evaluate: 5081 + (-5125) / (-8065)", "solution_steps": ["Divide: -5125 / (-8065) = 1025/1613", "Add: 5081 + 1025/1613 = 8196678/1613"], "final_answer": "8196678/1613", "answer_type": "rational", "kind": "expression", "math_text": "5081 + (-5125) / (-8065)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5081, \"b\": -5125, \"c\": -8065}", "seed": "12430072678499644884", "semantic_fingerprint": "sha256:4a95b6a1bc6bac5c5b4bf8101d0dcf571bb16ae4955e6b8aa221f1bdb61e7123", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000218", "prompt": "Solve the equation x = 19(x + 1824) for x.", "solution_steps": ["Expand: x = 19x + 34656", "Subtract 19x from both sides: -18x = 34656", "Divide both sides by -18: x = -5776/3"], "final_answer": "-5776/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 19(x + 1824)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1824}", "seed": "13341161230872338775", "semantic_fingerprint": "sha256:3b2744f84cdd9cb43a9875e3dacc8823a018329e9a89354bdcabd856412df594", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000219", "prompt": "Evaluate: -5019 + (-2403 + 36849 / 3733 - (-59549 - 7512))", "solution_steps": ["Divide: 36849 / 3733 = 36849/3733", "Add: -2403 + 36849/3733 = -8933550/3733", "Subtract: -59549 - 7512 = -67061", "Subtract: -8933550/3733 - (-67061) = 241405163/3733", "Add: -5019 + 241405163/3733 = 222669236/3733"], "final_answer": "222669236/3733", "answer_type": "rational", "kind": "expression", "math_text": "-5019 + (-2403 + 36849 / 3733 - (-59549 - 7512))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n (/ n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5019, \"b\": -2403, \"c\": 36849, \"d\": 3733, \"e\": -59549, \"f\": 7512}", "seed": "13979520817011755660", "semantic_fingerprint": "sha256:b2e97bc3f8eb9ec5a988aa74e7cb9af2bbe68c89e8f323038ee2af20e89518a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000220", "prompt": "Compute: -8349 * 5552", "solution_steps": ["Multiply: -8349 * 5552 = -46353648"], "final_answer": "-46353648", "answer_type": "integer", "kind": "expression", "math_text": "-8349 * 5552", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8349, \"b\": 5552}", "seed": "10431318320006210056", "semantic_fingerprint": "sha256:5e3a9e0e709d529cd4d172439d97194325ac6ee48e0632a3d869ff8c8c296727", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000221", "prompt": "Evaluate: -32132 * (-8563 - 6187) + (-5034 - 2453) * (-3379)", "solution_steps": ["Subtract: -8563 - 6187 = -14750", "Multiply: -32132 * (-14750) = 473947000", "Subtract: -5034 - 2453 = -7487", "Multiply: -7487 * (-3379) = 25298573", "Add: 473947000 + 25298573 = 499245573"], "final_answer": "499245573", "answer_type": "integer", "kind": "expression", "math_text": "-32132 * (-8563 - 6187) + (-5034 - 2453) * (-3379)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n n)) (* (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32132, \"b\": -8563, \"c\": 6187, \"d\": -5034, \"e\": 2453, \"f\": -3379}", "seed": "15531869760244765528", "semantic_fingerprint": "sha256:03565edbe3e9ed06d13451ec3badc83959aaf19b5ff82f1fc811808888682f54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000222", "prompt": "Compute: -88315 - 3900", "solution_steps": ["Subtract: -88315 - 3900 = -92215"], "final_answer": "-92215", "answer_type": "integer", "kind": "expression", "math_text": "-88315 - 3900", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -88315, \"b\": 3900}", "seed": "18388791424820867701", "semantic_fingerprint": "sha256:5fe61020ea0167479ba62d226f3690af7b8b5b1e0f9c0d727a07abccd0551e88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000223", "prompt": "What is -64590 * 9534 - (88001 + (-22629)) - (-6458) - (-9184)?", "solution_steps": ["Multiply: -64590 * 9534 = -615801060", "Add: 88001 + (-22629) = 65372", "Subtract: -615801060 - 65372 = -615866432", "Subtract: -615866432 - (-6458) = -615859974", "Subtract: -615859974 - (-9184) = -615850790"], "final_answer": "-615850790", "answer_type": "integer", "kind": "expression", "math_text": "-64590 * 9534 - (88001 + (-22629)) - (-6458) - (-9184)", "variable": null, "family": "expression_5op", "shape": "(- (- (- (* n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -64590, \"b\": 9534, \"c\": 88001, \"d\": -22629, \"e\": -6458, \"f\": -9184}", "seed": "6488089254401391294", "semantic_fingerprint": "sha256:4ecfaa1e3f66bc1519804785ef48fd65532895bc819c16974e158989c81e4442", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000224", "prompt": "Calculate: 17488 / 3629", "solution_steps": ["Divide: 17488 / 3629 = 17488/3629"], "final_answer": "17488/3629", "answer_type": "rational", "kind": "expression", "math_text": "17488 / 3629", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17488, \"b\": 3629}", "seed": "6064820312195383762", "semantic_fingerprint": "sha256:c7854a13aaa4086a96ed9cf5b84612d6d029615ed61d552f70c3fd6de687baee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000225", "prompt": "Find x: -34(x - 6344) + 32677 = -5599", "solution_steps": ["Expand: -34x + 215696 + 32677 = -5599", "Combine constants: -34x + 248373 = -5599", "Subtract 248373 from both sides: -34x = -253972", "Divide both sides by -34: x = 126986/17"], "final_answer": "126986/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x - 6344) + 32677 = -5599", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 6344, \"c\": 32677, \"d\": -5599}", "seed": "5321286243291340203", "semantic_fingerprint": "sha256:6cd77eacbdc1100c21d35e4ba311c9b5c56bea64198ea33b83b615001066c7c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000226", "prompt": "Solve for x: -26(x + 2752) - 26134 = -36x", "solution_steps": ["Expand: -26x - 71552 - 26134 = -36x", "Combine constants: -26x - 97686 = -36x", "Add 36x to both sides: 10x - 97686 = 0", "Add 97686 to both sides: 10x = 97686", "Divide both sides by 10: x = 48843/5"], "final_answer": "48843/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x + 2752) - 26134 = -36x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 2752, \"c\": 26134, \"d\": -36}", "seed": "9268096145693796009", "semantic_fingerprint": "sha256:29fd9a2b90a7374bb2c59c4ee089ae0e768472484b4738a9e9b75a0c30fafb94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000227", "prompt": "What is -7641 / 54445?", "solution_steps": ["Divide: -7641 / 54445 = -7641/54445"], "final_answer": "-7641/54445", "answer_type": "rational", "kind": "expression", "math_text": "-7641 / 54445", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7641, \"b\": 54445}", "seed": "6388818374379833056", "semantic_fingerprint": "sha256:aea732f7e54bce297f1b04e25b34844f4a9f5c2aa09fca0e8bd2e055cebb1592", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000228", "prompt": "Evaluate: 9452 - (5338 + 70555) - (-4556 - (-6582))", "solution_steps": ["Add: 5338 + 70555 = 75893", "Subtract: 9452 - 75893 = -66441", "Subtract: -4556 - (-6582) = 2026", "Subtract: -66441 - 2026 = -68467"], "final_answer": "-68467", "answer_type": "integer", "kind": "expression", "math_text": "9452 - (5338 + 70555) - (-4556 - (-6582))", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9452, \"b\": 5338, \"c\": 70555, \"d\": -4556, \"e\": -6582}", "seed": "7670865082880983014", "semantic_fingerprint": "sha256:aeab450f4a09080ece236cc609b18bc1c17f11f6b75b8f6bdf5d690228dbdf4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000229", "prompt": "Calculate: -7229 * (-5645)", "solution_steps": ["Multiply: -7229 * (-5645) = 40807705"], "final_answer": "40807705", "answer_type": "integer", "kind": "expression", "math_text": "-7229 * (-5645)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7229, \"b\": -5645}", "seed": "12796221013266015363", "semantic_fingerprint": "sha256:34df7e7053b725df4a27ebec7a628b9c4dae6f0615ad13e0041f0a730b74257b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000230", "prompt": "What is (-59936 + (-1240)) * 7598?", "solution_steps": ["Add: -59936 + (-1240) = -61176", "Multiply: -61176 * 7598 = -464815248"], "final_answer": "-464815248", "answer_type": "integer", "kind": "expression", "math_text": "(-59936 + (-1240)) * 7598", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59936, \"b\": -1240, \"c\": 7598}", "seed": "6743136666534589359", "semantic_fingerprint": "sha256:5fd4d7284627caf9c2558355dca7e4f26a59d1b1aa80569ba6b1aa1c9d762d92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000231", "prompt": "What is -66172 + (-17229 - 49285)?", "solution_steps": ["Subtract: -17229 - 49285 = -66514", "Add: -66172 + (-66514) = -132686"], "final_answer": "-132686", "answer_type": "integer", "kind": "expression", "math_text": "-66172 + (-17229 - 49285)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -66172, \"b\": -17229, \"c\": 49285}", "seed": "5380101305233457285", "semantic_fingerprint": "sha256:e3ab335be2fa26e8ed0fbb3e4d9b7a40af8f5f061feb7d0b1a994fb4d16b0fea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000232", "prompt": "Solve the equation 20(x - 6310) = -31(x + 2133) - 65585 for x.", "solution_steps": ["Expand: 20x - 126200 = -31(x + 2133) - 65585", "Expand: 20x - 126200 = -31x - 66123 - 65585", "Combine constants: 20x - 126200 = -31x - 131708", "Add 31x to both sides: 51x - 126200 = -131708", "Add 126200 to both sides: 51x = -5508", "Divide both sides by 51: x = -108"], "final_answer": "-108", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 6310) = -31(x + 2133) - 65585", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 6310, \"c\": -31, \"d\": 2133, \"f\": -65585, \"x\": -108}", "seed": "7809348125028557525", "semantic_fingerprint": "sha256:c2bd9c659745503ca321b0ee1db25fcacfb533d8546370ea7eb6eb2c357e92be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000233", "prompt": "Evaluate: -4319 * (2388 - 6357 / 8573)", "solution_steps": ["Divide: 6357 / 8573 = 6357/8573", "Subtract: 2388 - 6357/8573 = 20465967/8573", "Multiply: -4319 * (20465967/8573) = -88392511473/8573"], "final_answer": "-88392511473/8573", "answer_type": "rational", "kind": "expression", "math_text": "-4319 * (2388 - 6357 / 8573)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4319, \"b\": 2388, \"c\": 6357, \"d\": 8573}", "seed": "10034769028794753291", "semantic_fingerprint": "sha256:4a0c9fbf3a01df076cb4e47467f87f4ad1f02599c75282e78c7d0e505fb32afb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000234", "prompt": "Find x: x = 15x - 1008", "solution_steps": ["Subtract 15x from both sides: -14x = -1008", "Divide both sides by -14: x = 72"], "final_answer": "72", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 15x - 1008", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": -1008, \"x\": 72}", "seed": "14289651423469895380", "semantic_fingerprint": "sha256:549e03d9bdfe7906f8ae33cb8a2ed3d765649155cff18773a4fbe276f3f9f115", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000235", "prompt": "Calculate: 9381 + (-7900 + (-59173))", "solution_steps": ["Add: -7900 + (-59173) = -67073", "Add: 9381 + (-67073) = -57692"], "final_answer": "-57692", "answer_type": "integer", "kind": "expression", "math_text": "9381 + (-7900 + (-59173))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9381, \"b\": -7900, \"c\": -59173}", "seed": "12635184651048644137", "semantic_fingerprint": "sha256:582f1d7365be1ae45f979026ea8273955c3d613ea15804994a7a9443b74728e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000236", "prompt": "What is -9457 / (6043 - 8984) - (-3948) * 6445?", "solution_steps": ["Subtract: 6043 - 8984 = -2941", "Divide: -9457 / (-2941) = 9457/2941", "Multiply: -3948 * 6445 = -25444860", "Subtract: 9457/2941 - (-25444860) = 74833342717/2941"], "final_answer": "74833342717/2941", "answer_type": "rational", "kind": "expression", "math_text": "-9457 / (6043 - 8984) - (-3948) * 6445", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9457, \"b\": 6043, \"c\": 8984, \"d\": -3948, \"e\": 6445}", "seed": "587802902898523156", "semantic_fingerprint": "sha256:8d5f8e2f316cb3718276b4ee711539159175448886dada7c2b2de5bdedfc49f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000237", "prompt": "Evaluate: 6173 * (18144 / 59306) - 78162", "solution_steps": ["Divide: 18144 / 59306 = 9072/29653", "Multiply: 6173 * (9072/29653) = 56001456/29653", "Subtract: 56001456/29653 - 78162 = -2261736330/29653"], "final_answer": "-2261736330/29653", "answer_type": "rational", "kind": "expression", "math_text": "6173 * (18144 / 59306) - 78162", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6173, \"b\": 18144, \"c\": 59306, \"d\": 78162}", "seed": "4230877058971521809", "semantic_fingerprint": "sha256:54d84041ffdeb0c9fbec98e31e6d924fdd5e08c71c465dd6f94064ef6bcd1cbe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000238", "prompt": "Solve the equation -21(x + 7523) - 6680 = 35(x - 3180) - 54595 for x.", "solution_steps": ["Expand: -21x - 157983 - 6680 = 35(x - 3180) - 54595", "Expand: -21x - 157983 - 6680 = 35x - 111300 - 54595", "Combine constants: -21x - 164663 = 35x - 111300 - 54595", "Combine constants: -21x - 164663 = 35x - 165895", "Subtract 35x from both sides: -56x - 164663 = -165895", "Add 164663 to both sides: -56x = -1232", "Divide both sides by -56: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x + 7523) - 6680 = 35(x - 3180) - 54595", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 7523, \"c\": 6680, \"d\": 35, \"e\": 3180, \"g\": -54595, \"x\": 22}", "seed": "18211935826717661585", "semantic_fingerprint": "sha256:3350706a7c2454fa4a4b6d8143545ecd12278eb60f3d3c20d0e528dd937bdbb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000239", "prompt": "Evaluate: (26329 + 1051 - 90685) * 1599", "solution_steps": ["Add: 26329 + 1051 = 27380", "Subtract: 27380 - 90685 = -63305", "Multiply: -63305 * 1599 = -101224695"], "final_answer": "-101224695", "answer_type": "integer", "kind": "expression", "math_text": "(26329 + 1051 - 90685) * 1599", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26329, \"b\": 1051, \"c\": 90685, \"d\": 1599}", "seed": "8895027697791855972", "semantic_fingerprint": "sha256:605999e6af6d3fda87405aeda3fa60004ee3b585cf689340c26bb725ba062cb6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000240", "prompt": "Find x: 40x = -3517", "solution_steps": ["Divide both sides by 40: x = -3517/40"], "final_answer": "-3517/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x = -3517", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": -3517}", "seed": "5165026486614464635", "semantic_fingerprint": "sha256:b158f9ea0e2dedc7f964f94c64895e9f1ae4223c6771a914baf427d54d75f6e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000241", "prompt": "Find x: 23(x - 2641) = 29(x + 14646)", "solution_steps": ["Expand: 23x - 60743 = 29(x + 14646)", "Expand: 23x - 60743 = 29x + 424734", "Subtract 29x from both sides: -6x - 60743 = 424734", "Add 60743 to both sides: -6x = 485477", "Divide both sides by -6: x = -485477/6"], "final_answer": "-485477/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 2641) = 29(x + 14646)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 2641, \"c\": 29, \"d\": 14646}", "seed": "7146460766104139885", "semantic_fingerprint": "sha256:1b4f79c0de6c21966918359284106dc811d076af0caf2d640cdab051a6fc6af2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000242", "prompt": "Compute: -7246 + 3815 - (-4664) * 6792", "solution_steps": ["Add: -7246 + 3815 = -3431", "Multiply: -4664 * 6792 = -31677888", "Subtract: -3431 - (-31677888) = 31674457"], "final_answer": "31674457", "answer_type": "integer", "kind": "expression", "math_text": "-7246 + 3815 - (-4664) * 6792", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7246, \"b\": 3815, \"c\": -4664, \"d\": 6792}", "seed": "12257875357715735379", "semantic_fingerprint": "sha256:5f346c297d74b272fcb4c5432e2348d438c1c974f9747d3f035cdd704d307ec8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000243", "prompt": "Evaluate: -98255 + (-1448 + 3004 / (-61875))", "solution_steps": ["Divide: 3004 / (-61875) = -3004/61875", "Add: -1448 + (-3004/61875) = -89598004/61875", "Add: -98255 + (-89598004/61875) = -6169126129/61875"], "final_answer": "-6169126129/61875", "answer_type": "rational", "kind": "expression", "math_text": "-98255 + (-1448 + 3004 / (-61875))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -98255, \"b\": -1448, \"c\": 3004, \"d\": -61875}", "seed": "3984877360601992890", "semantic_fingerprint": "sha256:b45389b09eb4297e33068da22c6cf51f6d70199c9f81fe068603c04221511cc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000244", "prompt": "What is 10309 * (3807 + (-4370))?", "solution_steps": ["Add: 3807 + (-4370) = -563", "Multiply: 10309 * (-563) = -5803967"], "final_answer": "-5803967", "answer_type": "integer", "kind": "expression", "math_text": "10309 * (3807 + (-4370))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10309, \"b\": 3807, \"c\": -4370}", "seed": "15344926146500530484", "semantic_fingerprint": "sha256:b0575448459eb218c8d914a594433f6d8976db4887035110c0166ffb14826683", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000245", "prompt": "What is -82434 / (-3341) * 4415?", "solution_steps": ["Divide: -82434 / (-3341) = 82434/3341", "Multiply: (82434/3341) * 4415 = 363946110/3341"], "final_answer": "363946110/3341", "answer_type": "rational", "kind": "expression", "math_text": "-82434 / (-3341) * 4415", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82434, \"b\": -3341, \"c\": 4415}", "seed": "14000711304967496018", "semantic_fingerprint": "sha256:8caf1081acddfdada539c2efea6accdeace13481d3804efb04593316b93fdab9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000246", "prompt": "Solve for x: 38(x - 2393) + 90275 = 1583", "solution_steps": ["Expand: 38x - 90934 + 90275 = 1583", "Combine constants: 38x - 659 = 1583", "Add 659 to both sides: 38x = 2242", "Divide both sides by 38: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x - 2393) + 90275 = 1583", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 2393, \"c\": 90275, \"e\": 1583, \"x\": 59}", "seed": "7065312788603115416", "semantic_fingerprint": "sha256:cf38aaa562befac7e22124387ed1708c78e9b2ed37ed04dc884a13d92d5cb059", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000247", "prompt": "What is -78171 - 8397 * 3189?", "solution_steps": ["Multiply: 8397 * 3189 = 26778033", "Subtract: -78171 - 26778033 = -26856204"], "final_answer": "-26856204", "answer_type": "integer", "kind": "expression", "math_text": "-78171 - 8397 * 3189", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -78171, \"b\": 8397, \"c\": 3189}", "seed": "14821096738706763158", "semantic_fingerprint": "sha256:547ac20ced14c86e967e8ed8e1ea6193c3eae42832c0d0aadcaef53138a820ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000248", "prompt": "Solve the equation 23(x - 1205) - 45076 = 36x + 83497 for x.", "solution_steps": ["Expand: 23x - 27715 - 45076 = 36x + 83497", "Combine constants: 23x - 72791 = 36x + 83497", "Subtract 36x from both sides: -13x - 72791 = 83497", "Add 72791 to both sides: -13x = 156288", "Divide both sides by -13: x = -156288/13"], "final_answer": "-156288/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 1205) - 45076 = 36x + 83497", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1205, \"c\": 45076, \"d\": 36, \"e\": 83497}", "seed": "13952717920187961452", "semantic_fingerprint": "sha256:74a0de8f0d0299e8789cb8fd8f7925a0ad3d5c688acd363cabb3a259167b21a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000249", "prompt": "Evaluate: 6231 - (-2985)", "solution_steps": ["Subtract: 6231 - (-2985) = 9216"], "final_answer": "9216", "answer_type": "integer", "kind": "expression", "math_text": "6231 - (-2985)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6231, \"b\": -2985}", "seed": "2617679699952541098", "semantic_fingerprint": "sha256:5ba6cf35f28f3d7dd4645a256264cec9ea0c96ceb99075eec9403efdf3e4aadb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000250", "prompt": "Solve the equation -14(x + 65480) = -39(x - 1268) for x.", "solution_steps": ["Expand: -14x - 916720 = -39(x - 1268)", "Expand: -14x - 916720 = -39x + 49452", "Add 39x to both sides: 25x - 916720 = 49452", "Add 916720 to both sides: 25x = 966172", "Divide both sides by 25: x = 966172/25"], "final_answer": "966172/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 65480) = -39(x - 1268)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 65480, \"c\": -39, \"d\": 1268}", "seed": "3246627665918097992", "semantic_fingerprint": "sha256:e35dc4a3a10b682d7400178969e249c4ca8ca481b644ceb3a97af88c6c208ba2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000251", "prompt": "Find x: x + 5929 = -13x + 3222", "solution_steps": ["Add 13x to both sides: 14x + 5929 = 3222", "Subtract 5929 from both sides: 14x = -2707", "Divide both sides by 14: x = -2707/14"], "final_answer": "-2707/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5929 = -13x + 3222", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5929, \"b\": -13, \"c\": 3222}", "seed": "15135356880891529944", "semantic_fingerprint": "sha256:ad2e807c708c11e8f3e0cca80c36afb3af7d1a71bf75384975c99362e1c199b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000252", "prompt": "What is -7320 * (-18766) + (35849 - 8201 + (-58027))?", "solution_steps": ["Multiply: -7320 * (-18766) = 137367120", "Subtract: 35849 - 8201 = 27648", "Add: 27648 + (-58027) = -30379", "Add: 137367120 + (-30379) = 137336741"], "final_answer": "137336741", "answer_type": "integer", "kind": "expression", "math_text": "-7320 * (-18766) + (35849 - 8201 + (-58027))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7320, \"b\": -18766, \"c\": 35849, \"d\": 8201, \"e\": -58027}", "seed": "13064881982306259375", "semantic_fingerprint": "sha256:93b65a6ad53389312e5a35411fd5eb72e26e23c233db53ec56cb448fbb50f4ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000253", "prompt": "Solve for x: -16(x + 61492) = 21(x + 8310)", "solution_steps": ["Expand: -16x - 983872 = 21(x + 8310)", "Expand: -16x - 983872 = 21x + 174510", "Subtract 21x from both sides: -37x - 983872 = 174510", "Add 983872 to both sides: -37x = 1158382", "Divide both sides by -37: x = -1158382/37"], "final_answer": "-1158382/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 61492) = 21(x + 8310)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 61492, \"c\": 21, \"d\": 8310}", "seed": "10931487289054714148", "semantic_fingerprint": "sha256:d3ebf9a80f2060edd28601f29efa3af911e89250d10f8711334f280f27b86ce9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000254", "prompt": "Evaluate: (1475 + (-9011) - 3104) / 46910 * (-6481 * 9067)", "solution_steps": ["Add: 1475 + (-9011) = -7536", "Subtract: -7536 - 3104 = -10640", "Divide: -10640 / 46910 = -1064/4691", "Multiply: -6481 * 9067 = -58763227", "Multiply: (-1064/4691) * (-58763227) = 62524073528/4691"], "final_answer": "62524073528/4691", "answer_type": "rational", "kind": "expression", "math_text": "(1475 + (-9011) - 3104) / 46910 * (-6481 * 9067)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1475, \"b\": -9011, \"c\": 3104, \"d\": 46910, \"e\": -6481, \"f\": 9067}", "seed": "14221269116110761124", "semantic_fingerprint": "sha256:813a04fdb457340523c3fc595cc49b3b8e85aa8e01cdd4711890f696fb44747a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000255", "prompt": "Calculate: 5808 - (4144 - (-62421))", "solution_steps": ["Subtract: 4144 - (-62421) = 66565", "Subtract: 5808 - 66565 = -60757"], "final_answer": "-60757", "answer_type": "integer", "kind": "expression", "math_text": "5808 - (4144 - (-62421))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5808, \"b\": 4144, \"c\": -62421}", "seed": "13799047047981545249", "semantic_fingerprint": "sha256:893d0a05d1a6e2ce2ebd51aade6f4301370fa7782a7efb2226336a9226f6eda3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000256", "prompt": "Compute: 96913 - 6665 + (-95813)", "solution_steps": ["Subtract: 96913 - 6665 = 90248", "Add: 90248 + (-95813) = -5565"], "final_answer": "-5565", "answer_type": "integer", "kind": "expression", "math_text": "96913 - 6665 + (-95813)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96913, \"b\": 6665, \"c\": -95813}", "seed": "8906582953323183417", "semantic_fingerprint": "sha256:5ea0524960c07999889dea884535d86cb5a784658f201b1a383dbbb40003288d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000257", "prompt": "What value of x satisfies 14(x + 95404) = 13(x + 5995)?", "solution_steps": ["Expand: 14x + 1335656 = 13(x + 5995)", "Expand: 14x + 1335656 = 13x + 77935", "Subtract 13x from both sides: x + 1335656 = 77935", "Subtract 1335656 from both sides: x = -1257721"], "final_answer": "-1257721", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x + 95404) = 13(x + 5995)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 95404, \"c\": 13, \"d\": 5995}", "seed": "5767868489657633602", "semantic_fingerprint": "sha256:8651186412de366aff85c7e8a5a61aa7d9cdbe83a1eea301a097ef06b0932dbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000258", "prompt": "Compute: (7548 + (-27419 + 4913)) * (-5088 - (-6463))", "solution_steps": ["Add: -27419 + 4913 = -22506", "Add: 7548 + (-22506) = -14958", "Subtract: -5088 - (-6463) = 1375", "Multiply: -14958 * 1375 = -20567250"], "final_answer": "-20567250", "answer_type": "integer", "kind": "expression", "math_text": "(7548 + (-27419 + 4913)) * (-5088 - (-6463))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7548, \"b\": -27419, \"c\": 4913, \"d\": -5088, \"e\": -6463}", "seed": "3480783064868682572", "semantic_fingerprint": "sha256:1c46bfd5f8f02f942b09ca6842b8582f68c81cc24a43537e20efc205ef2b79ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000259", "prompt": "Calculate: 9471 / (-6755)", "solution_steps": ["Divide: 9471 / (-6755) = -1353/965"], "final_answer": "-1353/965", "answer_type": "rational", "kind": "expression", "math_text": "9471 / (-6755)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9471, \"b\": -6755}", "seed": "14474392530837456330", "semantic_fingerprint": "sha256:7bc35f2cee702c06432fd3d02003dbc9e4c95767cde8f0125fa1342692410ef4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000260", "prompt": "What value of x satisfies -24x = 29x?", "solution_steps": ["Subtract 29x from both sides: -53x = 0", "Divide both sides by -53: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x = 29x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 29}", "seed": "8615326010341638734", "semantic_fingerprint": "sha256:b7e3ff4df364967a4d704a03a1a743f545c012578022b72fcb3f70a6ca3ce4df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000261", "prompt": "What is (89145 - 33574) * 60294?", "solution_steps": ["Subtract: 89145 - 33574 = 55571", "Multiply: 55571 * 60294 = 3350597874"], "final_answer": "3350597874", "answer_type": "integer", "kind": "expression", "math_text": "(89145 - 33574) * 60294", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 89145, \"b\": 33574, \"c\": 60294}", "seed": "12974156728280618943", "semantic_fingerprint": "sha256:a2412912c3a581fb73239ec24909de0afe92eb9a9093a09182262bac54d5761c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000262", "prompt": "Calculate: -8083 - (-43881) + 6549 / 7353", "solution_steps": ["Subtract: -8083 - (-43881) = 35798", "Divide: 6549 / 7353 = 2183/2451", "Add: 35798 + 2183/2451 = 87743081/2451"], "final_answer": "87743081/2451", "answer_type": "rational", "kind": "expression", "math_text": "-8083 - (-43881) + 6549 / 7353", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8083, \"b\": -43881, \"c\": 6549, \"d\": 7353}", "seed": "4257259021175639056", "semantic_fingerprint": "sha256:37277060a3f085b4deb30758ff0bc5a78fb62389074573a2a7fd08142d4e8223", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000263", "prompt": "Find x: x + 18498 = 18448", "solution_steps": ["Subtract 18498 from both sides: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 18498 = 18448", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18498, \"c\": 18448, \"x\": -50}", "seed": "8274226621341728818", "semantic_fingerprint": "sha256:44cb87dc0a0575c9f5a40dfe550c8e3b5bde296ecda04d412a735e24ff59b84a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000264", "prompt": "Calculate: (7083 + 8379 / (5475 + 55002)) * (-2880)", "solution_steps": ["Add: 5475 + 55002 = 60477", "Divide: 8379 / 60477 = 147/1061", "Add: 7083 + 147/1061 = 7515210/1061", "Multiply: (7515210/1061) * (-2880) = -21643804800/1061"], "final_answer": "-21643804800/1061", "answer_type": "rational", "kind": "expression", "math_text": "(7083 + 8379 / (5475 + 55002)) * (-2880)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7083, \"b\": 8379, \"c\": 5475, \"d\": 55002, \"e\": -2880}", "seed": "9491286056326915062", "semantic_fingerprint": "sha256:d1746ab9091584ebc44385de1d7375ee365df4f7dae805736eadec43a8c6ed4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000265", "prompt": "Solve for x: x = -30(x + 2756)", "solution_steps": ["Expand: x = -30x - 82680", "Add 30x to both sides: 31x = -82680", "Divide both sides by 31: x = -82680/31"], "final_answer": "-82680/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -30(x + 2756)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 2756}", "seed": "5466215664136957513", "semantic_fingerprint": "sha256:efe7bdc5510d8b1bedaef90f3f5f0f31fa54f386e9625a309ab28bfdde5e4fad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000266", "prompt": "Solve for x: 20(x - 9286) = x + 2010", "solution_steps": ["Expand: 20x - 185720 = x + 2010", "Subtract x from both sides: 19x - 185720 = 2010", "Add 185720 to both sides: 19x = 187730", "Divide both sides by 19: x = 187730/19"], "final_answer": "187730/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 9286) = x + 2010", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 9286, \"c\": 2010}", "seed": "5800186899176115684", "semantic_fingerprint": "sha256:700693d05f3f777a0de854778d409762f16911ce6b13aca52ba154382033963d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000267", "prompt": "Compute: 29723 / (-23761 / (-50638)) / (-59446)", "solution_steps": ["Divide: -23761 / (-50638) = 23761/50638", "Divide: 29723 / (23761/50638) = 1505113274/23761", "Divide: (1505113274/23761) / (-59446) = -25319/23761"], "final_answer": "-25319/23761", "answer_type": "rational", "kind": "expression", "math_text": "29723 / (-23761 / (-50638)) / (-59446)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29723, \"b\": -23761, \"c\": -50638, \"d\": -59446}", "seed": "18284335977453720139", "semantic_fingerprint": "sha256:0478f5466040de8f227ccdfc0f506171887bb337b0f454d9e91042f621a46859", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000268", "prompt": "Evaluate: 8084 - 77896", "solution_steps": ["Subtract: 8084 - 77896 = -69812"], "final_answer": "-69812", "answer_type": "integer", "kind": "expression", "math_text": "8084 - 77896", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8084, \"b\": 77896}", "seed": "7287196333343111473", "semantic_fingerprint": "sha256:1f47da683bdb709d9fdd9a4482ba0d47a76e01b6246b9f2a9eef004facc557dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000269", "prompt": "What is -60840 - (-4808 - 7952 * 2332)?", "solution_steps": ["Multiply: 7952 * 2332 = 18544064", "Subtract: -4808 - 18544064 = -18548872", "Subtract: -60840 - (-18548872) = 18488032"], "final_answer": "18488032", "answer_type": "integer", "kind": "expression", "math_text": "-60840 - (-4808 - 7952 * 2332)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -60840, \"b\": -4808, \"c\": 7952, \"d\": 2332}", "seed": "5771518753136164680", "semantic_fingerprint": "sha256:d045d276a62a8d4ffaa1c5570864543be4898734d816ae15bf82c027d52f18d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000270", "prompt": "What is -9793 / (1160 - 8305)?", "solution_steps": ["Subtract: 1160 - 8305 = -7145", "Divide: -9793 / (-7145) = 9793/7145"], "final_answer": "9793/7145", "answer_type": "rational", "kind": "expression", "math_text": "-9793 / (1160 - 8305)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9793, \"b\": 1160, \"c\": 8305}", "seed": "621157303311874922", "semantic_fingerprint": "sha256:1132cd50f1e7aa1eed0dee98faf933b8a6dfee139bdb26bae054d708d824b6ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000271", "prompt": "Solve the equation 14x + 5064 = -40(x + 25906) for x.", "solution_steps": ["Expand: 14x + 5064 = -40x - 1036240", "Add 40x to both sides: 54x + 5064 = -1036240", "Subtract 5064 from both sides: 54x = -1041304", "Divide both sides by 54: x = -520652/27"], "final_answer": "-520652/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x + 5064 = -40(x + 25906)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5064, \"c\": -40, \"d\": 25906}", "seed": "7871738612780142239", "semantic_fingerprint": "sha256:09b3b49f390b8eff0603f0896630e904e345c323490067bce5431f31f91b219c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000272", "prompt": "What is -5294 - (8148 + (-9697))?", "solution_steps": ["Add: 8148 + (-9697) = -1549", "Subtract: -5294 - (-1549) = -3745"], "final_answer": "-3745", "answer_type": "integer", "kind": "expression", "math_text": "-5294 - (8148 + (-9697))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5294, \"b\": 8148, \"c\": -9697}", "seed": "10448503627388988609", "semantic_fingerprint": "sha256:050df22cccd04f961e91e197073411b1ae534aa6b83d1fd12ebd188ca880af04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000273", "prompt": "What is -50937 - (-5201) * (-7748)?", "solution_steps": ["Multiply: -5201 * (-7748) = 40297348", "Subtract: -50937 - 40297348 = -40348285"], "final_answer": "-40348285", "answer_type": "integer", "kind": "expression", "math_text": "-50937 - (-5201) * (-7748)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50937, \"b\": -5201, \"c\": -7748}", "seed": "16823645128798198584", "semantic_fingerprint": "sha256:7e9e8fd2ca880661b4fb8b85c445c587fe7ebd1a5d4223f26ac790fd40f8189c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000274", "prompt": "Calculate: 8690 / (15939 + (70956 + (-5161)))", "solution_steps": ["Add: 70956 + (-5161) = 65795", "Add: 15939 + 65795 = 81734", "Divide: 8690 / 81734 = 4345/40867"], "final_answer": "4345/40867", "answer_type": "rational", "kind": "expression", "math_text": "8690 / (15939 + (70956 + (-5161)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8690, \"b\": 15939, \"c\": 70956, \"d\": -5161}", "seed": "13435379928467901202", "semantic_fingerprint": "sha256:ffd2ba097c3ac363bfc1f6d45a147fda62d31e3abb4d24ff12d9d06a6ed0611e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000275", "prompt": "Calculate: (7353 + 7845 / 7559) * (-1025)", "solution_steps": ["Divide: 7845 / 7559 = 7845/7559", "Add: 7353 + 7845/7559 = 55589172/7559", "Multiply: (55589172/7559) * (-1025) = -56978901300/7559"], "final_answer": "-56978901300/7559", "answer_type": "rational", "kind": "expression", "math_text": "(7353 + 7845 / 7559) * (-1025)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7353, \"b\": 7845, \"c\": 7559, \"d\": -1025}", "seed": "9009425828850487634", "semantic_fingerprint": "sha256:0ffc24e8e592f28f747ceea791461349af5250cc8bcca585afca06237d84dc41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000276", "prompt": "What value of x satisfies x - 5981 = -39(x + 6396)?", "solution_steps": ["Expand: x - 5981 = -39x - 249444", "Add 39x to both sides: 40x - 5981 = -249444", "Add 5981 to both sides: 40x = -243463", "Divide both sides by 40: x = -243463/40"], "final_answer": "-243463/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5981 = -39(x + 6396)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5981, \"b\": -39, \"c\": 6396}", "seed": "11112106616571435384", "semantic_fingerprint": "sha256:cb165464954e97147fe63e9c74b57c0a7358ab797c65c2c1f0689b98706f3843", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000277", "prompt": "What is 4985 + (7078 + (-8448))?", "solution_steps": ["Add: 7078 + (-8448) = -1370", "Add: 4985 + (-1370) = 3615"], "final_answer": "3615", "answer_type": "integer", "kind": "expression", "math_text": "4985 + (7078 + (-8448))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4985, \"b\": 7078, \"c\": -8448}", "seed": "11274509733587230873", "semantic_fingerprint": "sha256:d71dd4a3f78d70321c72a535120dde89bed570f3dd1801e47328a7229044734f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000278", "prompt": "Compute: 8449 - (8842 + (-1256) + (-82113)) / (-2505 / 89855)", "solution_steps": ["Add: 8842 + (-1256) = 7586", "Add: 7586 + (-82113) = -74527", "Divide: -2505 / 89855 = -501/17971", "Divide: -74527 / (-501/17971) = 1339324717/501", "Subtract: 8449 - 1339324717/501 = -1335091768/501"], "final_answer": "-1335091768/501", "answer_type": "rational", "kind": "expression", "math_text": "8449 - (8842 + (-1256) + (-82113)) / (-2505 / 89855)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ (+ n n) n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8449, \"b\": 8842, \"c\": -1256, \"d\": -82113, \"e\": -2505, \"f\": 89855}", "seed": "1299946425029566896", "semantic_fingerprint": "sha256:662e66cd00e5e6fd934da150f550e45239f708d0ef5a548c5615872e7b089fc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000279", "prompt": "Compute: 27480 * (-5777) - 1871 * (-93182)", "solution_steps": ["Multiply: 27480 * (-5777) = -158751960", "Multiply: 1871 * (-93182) = -174343522", "Subtract: -158751960 - (-174343522) = 15591562"], "final_answer": "15591562", "answer_type": "integer", "kind": "expression", "math_text": "27480 * (-5777) - 1871 * (-93182)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27480, \"b\": -5777, \"c\": 1871, \"d\": -93182}", "seed": "5625046293837234041", "semantic_fingerprint": "sha256:8c3d5b3dd444b28fbd94d7a47584c3f59fcd4fe5cd5d7a19e7eff577a80568a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000280", "prompt": "Compute: -45398 - (-34642)", "solution_steps": ["Subtract: -45398 - (-34642) = -10756"], "final_answer": "-10756", "answer_type": "integer", "kind": "expression", "math_text": "-45398 - (-34642)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -45398, \"b\": -34642}", "seed": "2813543057664353383", "semantic_fingerprint": "sha256:70d0a490376a85bebb173eec62dae167f4ce4866b145ade1eeabbbe158f64572", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000281", "prompt": "Compute: -8447 * (-4441 + (-3685))", "solution_steps": ["Add: -4441 + (-3685) = -8126", "Multiply: -8447 * (-8126) = 68640322"], "final_answer": "68640322", "answer_type": "integer", "kind": "expression", "math_text": "-8447 * (-4441 + (-3685))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8447, \"b\": -4441, \"c\": -3685}", "seed": "4314869017415857649", "semantic_fingerprint": "sha256:c25a3a2d580045b4dc1af802192b780be463b56b360537c410c8eff7bd10af8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000282", "prompt": "Evaluate: 38096 / (7483 / 2843)", "solution_steps": ["Divide: 7483 / 2843 = 7483/2843", "Divide: 38096 / (7483/2843) = 108306928/7483"], "final_answer": "108306928/7483", "answer_type": "rational", "kind": "expression", "math_text": "38096 / (7483 / 2843)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38096, \"b\": 7483, \"c\": 2843}", "seed": "12824155999789830704", "semantic_fingerprint": "sha256:34ff140e2100051200bdc3c9461be9309aea2087128d069561d5712214db9697", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000283", "prompt": "Calculate: (4064 - (5456 + 50366)) / (-4222)", "solution_steps": ["Add: 5456 + 50366 = 55822", "Subtract: 4064 - 55822 = -51758", "Divide: -51758 / (-4222) = 25879/2111"], "final_answer": "25879/2111", "answer_type": "rational", "kind": "expression", "math_text": "(4064 - (5456 + 50366)) / (-4222)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4064, \"b\": 5456, \"c\": 50366, \"d\": -4222}", "seed": "4365982271403323117", "semantic_fingerprint": "sha256:b47a65513e6938167c92c6a3b213c587cf7b4d92e2a0abd2c45d14a5790ab9d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000284", "prompt": "Solve for x: -21x = -15x", "solution_steps": ["Add 15x to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = -15x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": -15}", "seed": "9488100564734023053", "semantic_fingerprint": "sha256:1ec45130967bc4f4ed2a60f39159fbed213f8436a75270f615f525f4b9f8ca99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000285", "prompt": "Compute: 4153 / (-19044 - (8265 + 8570))", "solution_steps": ["Add: 8265 + 8570 = 16835", "Subtract: -19044 - 16835 = -35879", "Divide: 4153 / (-35879) = -4153/35879"], "final_answer": "-4153/35879", "answer_type": "rational", "kind": "expression", "math_text": "4153 / (-19044 - (8265 + 8570))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4153, \"b\": -19044, \"c\": 8265, \"d\": 8570}", "seed": "11588948371402117082", "semantic_fingerprint": "sha256:9f5be5d8528adaef024d87577500c2610227ecb46d6c603451f636ca15d17753", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000286", "prompt": "Solve for x: 19(x - 85397) - 1093 = 16x + 71378", "solution_steps": ["Expand: 19x - 1622543 - 1093 = 16x + 71378", "Combine constants: 19x - 1623636 = 16x + 71378", "Subtract 16x from both sides: 3x - 1623636 = 71378", "Add 1623636 to both sides: 3x = 1695014", "Divide both sides by 3: x = 1695014/3"], "final_answer": "1695014/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 85397) - 1093 = 16x + 71378", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 85397, \"c\": 1093, \"d\": 16, \"e\": 71378}", "seed": "13622634462668642370", "semantic_fingerprint": "sha256:6076de125b8ea77250b4c4aa8267a8f586b513fc44c663a7531e37fabb48e86b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000287", "prompt": "Calculate: -7665 + 22811", "solution_steps": ["Add: -7665 + 22811 = 15146"], "final_answer": "15146", "answer_type": "integer", "kind": "expression", "math_text": "-7665 + 22811", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7665, \"b\": 22811}", "seed": "7111065895104910880", "semantic_fingerprint": "sha256:70a76cd40717bac4c01775a9f7b46efe911a76f0c13e1da891ac6c8597f37b07", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000288", "prompt": "Solve for x: 23(x - 5746) = x - 80497", "solution_steps": ["Expand: 23x - 132158 = x - 80497", "Subtract x from both sides: 22x - 132158 = -80497", "Add 132158 to both sides: 22x = 51661", "Divide both sides by 22: x = 51661/22"], "final_answer": "51661/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 5746) = x - 80497", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5746, \"c\": 80497}", "seed": "349299941634353375", "semantic_fingerprint": "sha256:0c6d73dccf4e6b1c8c062a9fc9562403159dfa496a672b248d370e7f0a4a63eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000289", "prompt": "Solve the equation 35(x + 10955) + 3410 = 13(x + 1773) for x.", "solution_steps": ["Expand: 35x + 383425 + 3410 = 13(x + 1773)", "Expand: 35x + 383425 + 3410 = 13x + 23049", "Combine constants: 35x + 386835 = 13x + 23049", "Subtract 13x from both sides: 22x + 386835 = 23049", "Subtract 386835 from both sides: 22x = -363786", "Divide both sides by 22: x = -181893/11"], "final_answer": "-181893/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 10955) + 3410 = 13(x + 1773)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 10955, \"c\": 3410, \"d\": 13, \"e\": 1773}", "seed": "886498845983319675", "semantic_fingerprint": "sha256:87f6c97237438f9897772e726fa4bfb2e62d8ad4a0e91698fe125081e10ff9ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000290", "prompt": "Compute: -3206 * (6865 + 8391 - (-3682)) / (-14662)", "solution_steps": ["Add: 6865 + 8391 = 15256", "Subtract: 15256 - (-3682) = 18938", "Multiply: -3206 * 18938 = -60715228", "Divide: -60715228 / (-14662) = 30357614/7331"], "final_answer": "30357614/7331", "answer_type": "rational", "kind": "expression", "math_text": "-3206 * (6865 + 8391 - (-3682)) / (-14662)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3206, \"b\": 6865, \"c\": 8391, \"d\": -3682, \"e\": -14662}", "seed": "18258847023385777505", "semantic_fingerprint": "sha256:9e7c7fd4e22018929b9e3360bebd89d5342ecfd20071810c7a8e22cd8db65771", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000291", "prompt": "What is -5075 / (-9980)?", "solution_steps": ["Divide: -5075 / (-9980) = 1015/1996"], "final_answer": "1015/1996", "answer_type": "rational", "kind": "expression", "math_text": "-5075 / (-9980)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5075, \"b\": -9980}", "seed": "1853948953005989008", "semantic_fingerprint": "sha256:169ddb78e598a875db4219158e18d225ab54dca81142ae8ee3a34e3f425bde4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000292", "prompt": "Calculate: 9161 + (-14742) - (-34143 + 38697 / (1403 - 3381))", "solution_steps": ["Add: 9161 + (-14742) = -5581", "Subtract: 1403 - 3381 = -1978", "Divide: 38697 / (-1978) = -38697/1978", "Add: -34143 + (-38697/1978) = -67573551/1978", "Subtract: -5581 - (-67573551/1978) = 56534333/1978"], "final_answer": "56534333/1978", "answer_type": "rational", "kind": "expression", "math_text": "9161 + (-14742) - (-34143 + 38697 / (1403 - 3381))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ n (/ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9161, \"b\": -14742, \"c\": -34143, \"d\": 38697, \"e\": 1403, \"f\": 3381}", "seed": "14331808733255213720", "semantic_fingerprint": "sha256:63fc57d6f55053bc399e52a8f9aa7a68750fc594c695dc4e36761f98f93ccaae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000293", "prompt": "What value of x satisfies x - 46543 = 24(x - 2015)?", "solution_steps": ["Expand: x - 46543 = 24x - 48360", "Subtract 24x from both sides: -23x - 46543 = -48360", "Add 46543 to both sides: -23x = -1817", "Divide both sides by -23: x = 79"], "final_answer": "79", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 46543 = 24(x - 2015)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2015, \"d\": -46543, \"x\": 79}", "seed": "1498090545314175981", "semantic_fingerprint": "sha256:e5f9e77f24711e05ace5456056f33a13e80dd835370611c704fb71845d21ea12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000294", "prompt": "Compute: (-6853 - 1072) * 7517", "solution_steps": ["Subtract: -6853 - 1072 = -7925", "Multiply: -7925 * 7517 = -59572225"], "final_answer": "-59572225", "answer_type": "integer", "kind": "expression", "math_text": "(-6853 - 1072) * 7517", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6853, \"b\": 1072, \"c\": 7517}", "seed": "7411410736121220453", "semantic_fingerprint": "sha256:61dae0a93a92e3e8a30d5731921208336eafa93e6308dd08645ae0e3aca4f556", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000295", "prompt": "What is -35590 * (3319 + (6023 + 66950))?", "solution_steps": ["Add: 6023 + 66950 = 72973", "Add: 3319 + 72973 = 76292", "Multiply: -35590 * 76292 = -2715232280"], "final_answer": "-2715232280", "answer_type": "integer", "kind": "expression", "math_text": "-35590 * (3319 + (6023 + 66950))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35590, \"b\": 3319, \"c\": 6023, \"d\": 66950}", "seed": "18371224212326100970", "semantic_fingerprint": "sha256:c986ff3b15163fbd61b3178287052a748fa013a011186eb86da08bba822e1158", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000296", "prompt": "What is -36560 - 68992?", "solution_steps": ["Subtract: -36560 - 68992 = -105552"], "final_answer": "-105552", "answer_type": "integer", "kind": "expression", "math_text": "-36560 - 68992", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -36560, \"b\": 68992}", "seed": "9103487870376030124", "semantic_fingerprint": "sha256:49d8e941075014b96b4e0f9ec094e8b520f7f9550a0f731a21cba37c2a173663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000297", "prompt": "Compute: 3900 + (-8279 - 6618) + 9381 / 2789", "solution_steps": ["Subtract: -8279 - 6618 = -14897", "Add: 3900 + (-14897) = -10997", "Divide: 9381 / 2789 = 9381/2789", "Add: -10997 + 9381/2789 = -30661252/2789"], "final_answer": "-30661252/2789", "answer_type": "rational", "kind": "expression", "math_text": "3900 + (-8279 - 6618) + 9381 / 2789", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3900, \"b\": -8279, \"c\": 6618, \"d\": 9381, \"e\": 2789}", "seed": "17690517430583808416", "semantic_fingerprint": "sha256:8505d1a7a35160c15084d8f76c7ae97281cbb0fd07f0670db941e5d94c3b98eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000298", "prompt": "What value of x satisfies 23(x - 1813) = -38(x - 1702) - 99482?", "solution_steps": ["Expand: 23x - 41699 = -38(x - 1702) - 99482", "Expand: 23x - 41699 = -38x + 64676 - 99482", "Combine constants: 23x - 41699 = -38x - 34806", "Add 38x to both sides: 61x - 41699 = -34806", "Add 41699 to both sides: 61x = 6893", "Divide both sides by 61: x = 113"], "final_answer": "113", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x - 1813) = -38(x - 1702) - 99482", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1813, \"c\": -38, \"d\": 1702, \"f\": -99482, \"x\": 113}", "seed": "12041753594989841842", "semantic_fingerprint": "sha256:f264468601ed186cad5c1e3d9add738f0d7efa9858a6cf7e935fa4c5b31ca638", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000299", "prompt": "What value of x satisfies -38x + 88902 = -26x - 3021?", "solution_steps": ["Add 26x to both sides: -12x + 88902 = -3021", "Subtract 88902 from both sides: -12x = -91923", "Divide both sides by -12: x = 30641/4"], "final_answer": "30641/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x + 88902 = -26x - 3021", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 88902, \"c\": -26, \"d\": 3021}", "seed": "5294691480169032283", "semantic_fingerprint": "sha256:d62773ccd0412b127320938fe518820a464d85dcbf450cfc3ce49342e3109814", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000300", "prompt": "What is 7866 * 82669 + 1607?", "solution_steps": ["Multiply: 7866 * 82669 = 650274354", "Add: 650274354 + 1607 = 650275961"], "final_answer": "650275961", "answer_type": "integer", "kind": "expression", "math_text": "7866 * 82669 + 1607", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7866, \"b\": 82669, \"c\": 1607}", "seed": "4082095861873414502", "semantic_fingerprint": "sha256:bf6c5c9c5344fba4425ef83c17387cbf3b6190b68b43d357927f87cd6f110e1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000301", "prompt": "What value of x satisfies 35(x + 7931) + 9827 = -24x + 7073?", "solution_steps": ["Expand: 35x + 277585 + 9827 = -24x + 7073", "Combine constants: 35x + 287412 = -24x + 7073", "Add 24x to both sides: 59x + 287412 = 7073", "Subtract 287412 from both sides: 59x = -280339", "Divide both sides by 59: x = -280339/59"], "final_answer": "-280339/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 7931) + 9827 = -24x + 7073", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7931, \"c\": 9827, \"d\": -24, \"e\": 7073}", "seed": "14236622718949601354", "semantic_fingerprint": "sha256:b3c1e65fe9be0735bb63eb919f47b52ea3f9bf7cd9d8340c15848114a2d2eeef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000302", "prompt": "Evaluate: -63058 * (-2790 - 55052)", "solution_steps": ["Subtract: -2790 - 55052 = -57842", "Multiply: -63058 * (-57842) = 3647400836"], "final_answer": "3647400836", "answer_type": "integer", "kind": "expression", "math_text": "-63058 * (-2790 - 55052)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63058, \"b\": -2790, \"c\": 55052}", "seed": "4328970953898417082", "semantic_fingerprint": "sha256:809e5bb71fda496cd67e73b7b04c690e0f46ee6acdd6bbc9ed4fbc54ccea703f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000303", "prompt": "What is 5017 - 4140?", "solution_steps": ["Subtract: 5017 - 4140 = 877"], "final_answer": "877", "answer_type": "integer", "kind": "expression", "math_text": "5017 - 4140", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5017, \"b\": 4140}", "seed": "6570175548767541076", "semantic_fingerprint": "sha256:72febd2699fbedec9ba72b95081ac82910cbf6ec81f95d5f76f2006c31c9703c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000304", "prompt": "Compute: 10547 * (-3903)", "solution_steps": ["Multiply: 10547 * (-3903) = -41164941"], "final_answer": "-41164941", "answer_type": "integer", "kind": "expression", "math_text": "10547 * (-3903)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 10547, \"b\": -3903}", "seed": "17856941183541705759", "semantic_fingerprint": "sha256:1a73a9bdd4513be11db19bac7e1dde939fb7de51628771f8f9ea4c812738136c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000305", "prompt": "Evaluate: 7886 + (-35773) - (-9898) + 8288 * (-4848)", "solution_steps": ["Add: 7886 + (-35773) = -27887", "Subtract: -27887 - (-9898) = -17989", "Multiply: 8288 * (-4848) = -40180224", "Add: -17989 + (-40180224) = -40198213"], "final_answer": "-40198213", "answer_type": "integer", "kind": "expression", "math_text": "7886 + (-35773) - (-9898) + 8288 * (-4848)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7886, \"b\": -35773, \"c\": -9898, \"d\": 8288, \"e\": -4848}", "seed": "13787929009419821240", "semantic_fingerprint": "sha256:09fcca8973e8dae3c3c337c7249a0a1d99d97cb630e4d3daad2aefdf39c32743", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000306", "prompt": "Compute: (1951 + (-16302)) * (2605 + 2944)", "solution_steps": ["Add: 1951 + (-16302) = -14351", "Add: 2605 + 2944 = 5549", "Multiply: -14351 * 5549 = -79633699"], "final_answer": "-79633699", "answer_type": "integer", "kind": "expression", "math_text": "(1951 + (-16302)) * (2605 + 2944)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1951, \"b\": -16302, \"c\": 2605, \"d\": 2944}", "seed": "11992845082632875645", "semantic_fingerprint": "sha256:1b2236d33e7187015c234e920d9c3c346f161353dc0a95c3cb218203ac072da7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000307", "prompt": "Evaluate: (2874 / 6968 - (-4353 - (-7445)) + 98014) * (-2895)", "solution_steps": ["Divide: 2874 / 6968 = 1437/3484", "Subtract: -4353 - (-7445) = 3092", "Subtract: 1437/3484 - 3092 = -10771091/3484", "Add: -10771091/3484 + 98014 = 330709685/3484", "Multiply: (330709685/3484) * (-2895) = -957404538075/3484"], "final_answer": "-957404538075/3484", "answer_type": "rational", "kind": "expression", "math_text": "(2874 / 6968 - (-4353 - (-7445)) + 98014) * (-2895)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- (/ n n) (- n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2874, \"b\": 6968, \"c\": -4353, \"d\": -7445, \"e\": 98014, \"f\": -2895}", "seed": "2615235151601361244", "semantic_fingerprint": "sha256:8d839ff48c9184765a26c2a13aaa25079655b0c1529bc1374ec163bd9522032e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000308", "prompt": "Solve the equation -29(x + 2087) - 92930 = x for x.", "solution_steps": ["Expand: -29x - 60523 - 92930 = x", "Combine constants: -29x - 153453 = x", "Subtract x from both sides: -30x - 153453 = 0", "Add 153453 to both sides: -30x = 153453", "Divide both sides by -30: x = -51151/10"], "final_answer": "-51151/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x + 2087) - 92930 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 2087, \"c\": 92930}", "seed": "2880585806088247968", "semantic_fingerprint": "sha256:a37e4a75b35844461c89d06b7bcbc7704fd3b127ce441dd28e13cb05e39431aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000309", "prompt": "Calculate: 6242 + (-3027 + 4371)", "solution_steps": ["Add: -3027 + 4371 = 1344", "Add: 6242 + 1344 = 7586"], "final_answer": "7586", "answer_type": "integer", "kind": "expression", "math_text": "6242 + (-3027 + 4371)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6242, \"b\": -3027, \"c\": 4371}", "seed": "17646006436373945716", "semantic_fingerprint": "sha256:4b804d155e76baa4c122d0903d0308aad860795cf763af3bd087c4376d1e83db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000310", "prompt": "Solve the equation x = -24x for x.", "solution_steps": ["Add 24x to both sides: 25x = 0", "Divide both sides by 25: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -24x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24}", "seed": "14872417757391410508", "semantic_fingerprint": "sha256:2399eed1c32515c6eec35bbc734ebe38f8d4513347230b2b8d25fdfcbc609ace", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000311", "prompt": "Compute: 7432 + (5958 / (-60928) + (-1953))", "solution_steps": ["Divide: 5958 / (-60928) = -2979/30464", "Add: -2979/30464 + (-1953) = -59499171/30464", "Add: 7432 + (-59499171/30464) = 166909277/30464"], "final_answer": "166909277/30464", "answer_type": "rational", "kind": "expression", "math_text": "7432 + (5958 / (-60928) + (-1953))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7432, \"b\": 5958, \"c\": -60928, \"d\": -1953}", "seed": "139061510907903716", "semantic_fingerprint": "sha256:4b06bcc536a599a12f07ce1573035718e368e3f752b6085b90d9671aea40f28c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000312", "prompt": "What value of x satisfies 16x - 4770 = -14x?", "solution_steps": ["Add 14x to both sides: 30x - 4770 = 0", "Add 4770 to both sides: 30x = 4770", "Divide both sides by 30: x = 159"], "final_answer": "159", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x - 4770 = -14x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": -14, \"d\": -4770, \"x\": 159}", "seed": "14240921408613393190", "semantic_fingerprint": "sha256:48a8e8e31ade7c2a25265d7013a3be3806420741324a0c22cc6f540d517e7a8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000313", "prompt": "What is 9121 * (-2709) + (-2460 - 2706) * 29004?", "solution_steps": ["Multiply: 9121 * (-2709) = -24708789", "Subtract: -2460 - 2706 = -5166", "Multiply: -5166 * 29004 = -149834664", "Add: -24708789 + (-149834664) = -174543453"], "final_answer": "-174543453", "answer_type": "integer", "kind": "expression", "math_text": "9121 * (-2709) + (-2460 - 2706) * 29004", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9121, \"b\": -2709, \"c\": -2460, \"d\": 2706, \"e\": 29004}", "seed": "18262508680751331062", "semantic_fingerprint": "sha256:9d3fa66f046a5434b3e4685cbdd85d9a576a861df2cbc5d3f8822fdd080884b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000314", "prompt": "Solve the equation 30(x + 2813) - 70994 = 26x for x.", "solution_steps": ["Expand: 30x + 84390 - 70994 = 26x", "Combine constants: 30x + 13396 = 26x", "Subtract 26x from both sides: 4x + 13396 = 0", "Subtract 13396 from both sides: 4x = -13396", "Divide both sides by 4: x = -3349"], "final_answer": "-3349", "answer_type": "integer", "kind": "linear_equation", "math_text": "30(x + 2813) - 70994 = 26x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 2813, \"c\": 70994, \"d\": 26}", "seed": "15432531824154422888", "semantic_fingerprint": "sha256:52bea95c7744ba24e49395f656a054f4fb6c5e45f9a992d2a5b420fd87eca836", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000315", "prompt": "Calculate: 28309 * 88301", "solution_steps": ["Multiply: 28309 * 88301 = 2499713009"], "final_answer": "2499713009", "answer_type": "integer", "kind": "expression", "math_text": "28309 * 88301", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 28309, \"b\": 88301}", "seed": "15021765534340339800", "semantic_fingerprint": "sha256:c107c3a6927473fe4feb6cb3672b9ecdbbddd95dc58f8ac58a085a81b66d93f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000316", "prompt": "What is 7623 - (9106 - 3468 + (-6973 + (-93825) / (-5807)))?", "solution_steps": ["Subtract: 9106 - 3468 = 5638", "Divide: -93825 / (-5807) = 93825/5807", "Add: -6973 + 93825/5807 = -40398386/5807", "Add: 5638 + (-40398386/5807) = -7658520/5807", "Subtract: 7623 - (-7658520/5807) = 51925281/5807"], "final_answer": "51925281/5807", "answer_type": "rational", "kind": "expression", "math_text": "7623 - (9106 - 3468 + (-6973 + (-93825) / (-5807)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- n n) (+ n (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7623, \"b\": 9106, \"c\": 3468, \"d\": -6973, \"e\": -93825, \"f\": -5807}", "seed": "7229422789603067389", "semantic_fingerprint": "sha256:13764dac1da4a7c2734ab8ac866b6b35995231a80f574ceccb8d50c74c03b736", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000317", "prompt": "Find x: x - 6726 = -6596", "solution_steps": ["Add 6726 to both sides: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6726 = -6596", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6726, \"c\": -6596, \"x\": 130}", "seed": "2754417318096068742", "semantic_fingerprint": "sha256:f0a5d105e1dfc71318daf529d6513b309697ca7ff2af3578fa55e9816d722ac1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000318", "prompt": "What is -1591 + 59593?", "solution_steps": ["Add: -1591 + 59593 = 58002"], "final_answer": "58002", "answer_type": "integer", "kind": "expression", "math_text": "-1591 + 59593", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1591, \"b\": 59593}", "seed": "1717945628353787114", "semantic_fingerprint": "sha256:901102c9faebb07bfb00cb0301983f1a24cdafc3d2c96fc29aa2e6475b08aa4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000319", "prompt": "Find x: 33(x - 3596) = -18(x - 96484) + 6053", "solution_steps": ["Expand: 33x - 118668 = -18(x - 96484) + 6053", "Expand: 33x - 118668 = -18x + 1736712 + 6053", "Combine constants: 33x - 118668 = -18x + 1742765", "Add 18x to both sides: 51x - 118668 = 1742765", "Add 118668 to both sides: 51x = 1861433", "Divide both sides by 51: x = 1861433/51"], "final_answer": "1861433/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 3596) = -18(x - 96484) + 6053", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3596, \"c\": -18, \"d\": 96484, \"e\": 6053}", "seed": "15285597180325001295", "semantic_fingerprint": "sha256:84fd52428d13cbc4fe1d714603364ded75e4ada11fbdef1b5a82465ccfbc11ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000320", "prompt": "Find x: 20x + 9332 = x - 2679", "solution_steps": ["Subtract x from both sides: 19x + 9332 = -2679", "Subtract 9332 from both sides: 19x = -12011", "Divide both sides by 19: x = -12011/19"], "final_answer": "-12011/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 9332 = x - 2679", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 9332, \"c\": 2679}", "seed": "9901444406450878516", "semantic_fingerprint": "sha256:e7723c95981c5d3797bc97b0899c931054ef2d04888af43f0bb5e09db46e6ce4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000321", "prompt": "Compute: -56354 / (-5806 / (4272 + (-6183))) - 95230", "solution_steps": ["Add: 4272 + (-6183) = -1911", "Divide: -5806 / (-1911) = 5806/1911", "Divide: -56354 / (5806/1911) = -53846247/2903", "Subtract: -53846247/2903 - 95230 = -330298937/2903"], "final_answer": "-330298937/2903", "answer_type": "rational", "kind": "expression", "math_text": "-56354 / (-5806 / (4272 + (-6183))) - 95230", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -56354, \"b\": -5806, \"c\": 4272, \"d\": -6183, \"e\": 95230}", "seed": "8724553900642984145", "semantic_fingerprint": "sha256:f5be0d6148466e87a5d45036dc23eb424f25906688c8dc8306882be68e23bdf1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000322", "prompt": "Solve the equation -30x = 30x + 7154 for x.", "solution_steps": ["Subtract 30x from both sides: -60x = 7154", "Divide both sides by -60: x = -3577/30"], "final_answer": "-3577/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30x = 30x + 7154", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 30, \"c\": 7154}", "seed": "8089082027882809126", "semantic_fingerprint": "sha256:cb0c44d44446d1180ad41f4fc190238b0a4238ff97d221118c1d3a9497d15cb7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000323", "prompt": "Evaluate: 4015 * 92427", "solution_steps": ["Multiply: 4015 * 92427 = 371094405"], "final_answer": "371094405", "answer_type": "integer", "kind": "expression", "math_text": "4015 * 92427", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4015, \"b\": 92427}", "seed": "3518180215191444819", "semantic_fingerprint": "sha256:7ea4d93301dd07598d955450746fd9bcd73a810c690983b1449c23bc0d32f8f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000324", "prompt": "What is 2560 * (-11472) * (-1853)?", "solution_steps": ["Multiply: 2560 * (-11472) = -29368320", "Multiply: -29368320 * (-1853) = 54419496960"], "final_answer": "54419496960", "answer_type": "integer", "kind": "expression", "math_text": "2560 * (-11472) * (-1853)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2560, \"b\": -11472, \"c\": -1853}", "seed": "1406960983736785860", "semantic_fingerprint": "sha256:1b09851d65294a2a28a8dc6f2081276a131aadb19128b8325de16d5497b6e8ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000325", "prompt": "What value of x satisfies 27(x - 97434) + 29682 = 30(x - 9442) - 4815?", "solution_steps": ["Expand: 27x - 2630718 + 29682 = 30(x - 9442) - 4815", "Expand: 27x - 2630718 + 29682 = 30x - 283260 - 4815", "Combine constants: 27x - 2601036 = 30x - 283260 - 4815", "Combine constants: 27x - 2601036 = 30x - 288075", "Subtract 30x from both sides: -3x - 2601036 = -288075", "Add 2601036 to both sides: -3x = 2312961", "Divide both sides by -3: x = -770987"], "final_answer": "-770987", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 97434) + 29682 = 30(x - 9442) - 4815", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 97434, \"c\": 29682, \"d\": 30, \"e\": 9442, \"f\": 4815}", "seed": "12237807997821910932", "semantic_fingerprint": "sha256:74609aaa2a6acff97a0f9c37bd3ed5182a97c18ceb644e642cd25d047ce82598", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000326", "prompt": "Find x: x = 21(x + 8019)", "solution_steps": ["Expand: x = 21x + 168399", "Subtract 21x from both sides: -20x = 168399", "Divide both sides by -20: x = -168399/20"], "final_answer": "-168399/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 21(x + 8019)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 8019}", "seed": "4762346165539872926", "semantic_fingerprint": "sha256:03623d3ffe7e9dc3445c2bead412c33889a93dabf07701c696f7a7b350049976", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000327", "prompt": "Find x: 37(x - 9683) = 32x + 2222", "solution_steps": ["Expand: 37x - 358271 = 32x + 2222", "Subtract 32x from both sides: 5x - 358271 = 2222", "Add 358271 to both sides: 5x = 360493", "Divide both sides by 5: x = 360493/5"], "final_answer": "360493/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 9683) = 32x + 2222", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 9683, \"c\": 32, \"d\": 2222}", "seed": "16606757130426363943", "semantic_fingerprint": "sha256:b0d353992d81dc069630bba792170dabea807b750a1c0bc8741f86f3961eb086", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000328", "prompt": "Solve for x: 15x - 51117 = x - 50557", "solution_steps": ["Subtract x from both sides: 14x - 51117 = -50557", "Add 51117 to both sides: 14x = 560", "Divide both sides by 14: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 51117 = x - 50557", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 51117, \"d\": -50557, \"x\": 40}", "seed": "5130664479613318216", "semantic_fingerprint": "sha256:207dcaa231215587466f91f5bd864ba5d5011b0d12936a29442030508b3484be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000329", "prompt": "Compute: -4221 * 1798 - 6905", "solution_steps": ["Multiply: -4221 * 1798 = -7589358", "Subtract: -7589358 - 6905 = -7596263"], "final_answer": "-7596263", "answer_type": "integer", "kind": "expression", "math_text": "-4221 * 1798 - 6905", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4221, \"b\": 1798, \"c\": 6905}", "seed": "4157302576942992349", "semantic_fingerprint": "sha256:2cfbf0737f3a17181b57b5992859bcfdf591047bd41af64c4d64369e140acbf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000330", "prompt": "Compute: 1784 * (-8044) * (-3605 / (-2277 + 2733))", "solution_steps": ["Multiply: 1784 * (-8044) = -14350496", "Add: -2277 + 2733 = 456", "Divide: -3605 / 456 = -3605/456", "Multiply: -14350496 * (-3605/456) = 6466692260/57"], "final_answer": "6466692260/57", "answer_type": "rational", "kind": "expression", "math_text": "1784 * (-8044) * (-3605 / (-2277 + 2733))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1784, \"b\": -8044, \"c\": -3605, \"d\": -2277, \"e\": 2733}", "seed": "17279833732970144216", "semantic_fingerprint": "sha256:6d09221be3a912670a0a2c82ae5dbb2ed75baffa8738c290d79a969957258b69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000331", "prompt": "Solve for x: 18(x - 95971) + 1756 = x + 14942", "solution_steps": ["Expand: 18x - 1727478 + 1756 = x + 14942", "Combine constants: 18x - 1725722 = x + 14942", "Subtract x from both sides: 17x - 1725722 = 14942", "Add 1725722 to both sides: 17x = 1740664", "Divide both sides by 17: x = 102392"], "final_answer": "102392", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 95971) + 1756 = x + 14942", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 95971, \"c\": 1756, \"d\": 14942}", "seed": "17124075735154276243", "semantic_fingerprint": "sha256:82f22b7dd89557f56de70231fa7a4b94af5ac3170fa1e4c528c6d493ebe92bfe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000332", "prompt": "Solve the equation x - 3026 = -15(x - 3007) - 45075 for x.", "solution_steps": ["Expand: x - 3026 = -15x + 45105 - 45075", "Combine constants: x - 3026 = -15x + 30", "Add 15x to both sides: 16x - 3026 = 30", "Add 3026 to both sides: 16x = 3056", "Divide both sides by 16: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3026 = -15(x - 3007) - 45075", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3026, \"b\": -15, \"c\": 3007, \"e\": -45075, \"x\": 191}", "seed": "5534604875053862567", "semantic_fingerprint": "sha256:193625612e6080a1e46611c32e3eb2c526e923bcdd9f8d0cb0aa57371e7b3fad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000333", "prompt": "What is 6687 - (-6061 + 56168)?", "solution_steps": ["Add: -6061 + 56168 = 50107", "Subtract: 6687 - 50107 = -43420"], "final_answer": "-43420", "answer_type": "integer", "kind": "expression", "math_text": "6687 - (-6061 + 56168)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6687, \"b\": -6061, \"c\": 56168}", "seed": "6454688380532842370", "semantic_fingerprint": "sha256:bbf97dbd83379b98d53b774561566758138164287b3d696650d7086a14aca0de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000334", "prompt": "Solve the equation 17x - 6649 = -9641 for x.", "solution_steps": ["Add 6649 to both sides: 17x = -2992", "Divide both sides by 17: x = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x - 6649 = -9641", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 6649, \"d\": -9641, \"x\": -176}", "seed": "1025653253033682099", "semantic_fingerprint": "sha256:eb155eee7da244ea38ca8704f2c41a6f3373af59bdb1623b346a72619ca848bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000335", "prompt": "What value of x satisfies 35(x + 44826) = 23x?", "solution_steps": ["Expand: 35x + 1568910 = 23x", "Subtract 23x from both sides: 12x + 1568910 = 0", "Subtract 1568910 from both sides: 12x = -1568910", "Divide both sides by 12: x = -261485/2"], "final_answer": "-261485/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 44826) = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 44826, \"c\": 23}", "seed": "12036813359380811576", "semantic_fingerprint": "sha256:080af6f36948dff8056db1f598ef2cae28311ecdba7228b35be34b03db250abe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000336", "prompt": "Evaluate: -49532 * (-4101 + 73216)", "solution_steps": ["Add: -4101 + 73216 = 69115", "Multiply: -49532 * 69115 = -3423404180"], "final_answer": "-3423404180", "answer_type": "integer", "kind": "expression", "math_text": "-49532 * (-4101 + 73216)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49532, \"b\": -4101, \"c\": 73216}", "seed": "2362629721658899638", "semantic_fingerprint": "sha256:952bd47698a3a52dccc77135efbfc40cde1ee5dcb5777859b2dd615e9544a227", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000337", "prompt": "What is 4587 / (-8212 - 65064)?", "solution_steps": ["Subtract: -8212 - 65064 = -73276", "Divide: 4587 / (-73276) = -4587/73276"], "final_answer": "-4587/73276", "answer_type": "rational", "kind": "expression", "math_text": "4587 / (-8212 - 65064)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4587, \"b\": -8212, \"c\": 65064}", "seed": "297547472233294512", "semantic_fingerprint": "sha256:ffa92086c114593b1a5b3cb09d0ab140e9bb8da68c63e2f2718fc60e372f74ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000338", "prompt": "Compute: 8450 + (1912 - 1505 / (-55380)) * (-9209)", "solution_steps": ["Divide: 1505 / (-55380) = -301/11076", "Subtract: 1912 - (-301/11076) = 21177613/11076", "Multiply: (21177613/11076) * (-9209) = -195024638117/11076", "Add: 8450 + (-195024638117/11076) = -194931045917/11076"], "final_answer": "-194931045917/11076", "answer_type": "rational", "kind": "expression", "math_text": "8450 + (1912 - 1505 / (-55380)) * (-9209)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8450, \"b\": 1912, \"c\": 1505, \"d\": -55380, \"e\": -9209}", "seed": "15983187443356253222", "semantic_fingerprint": "sha256:4836062a72e830d2385f8063c1adbc64050487f0954b49e45f557e6777198734", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000339", "prompt": "What value of x satisfies 36x - 4491 = 27x + 4306?", "solution_steps": ["Subtract 27x from both sides: 9x - 4491 = 4306", "Add 4491 to both sides: 9x = 8797", "Divide both sides by 9: x = 8797/9"], "final_answer": "8797/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x - 4491 = 27x + 4306", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4491, \"c\": 27, \"d\": 4306}", "seed": "9208524653180587462", "semantic_fingerprint": "sha256:3605cf5f02ba23ab6aec9c4520bfa20b3d7c06b468d8de06539e5a48ec69925c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000340", "prompt": "What is -1269 - (78166 - 1228)?", "solution_steps": ["Subtract: 78166 - 1228 = 76938", "Subtract: -1269 - 76938 = -78207"], "final_answer": "-78207", "answer_type": "integer", "kind": "expression", "math_text": "-1269 - (78166 - 1228)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1269, \"b\": 78166, \"c\": 1228}", "seed": "1088600196619731623", "semantic_fingerprint": "sha256:5c9e1b808c7f81c1ef833565f474b49872eb4c0ba9e37d67bbe83ecef05d12f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000341", "prompt": "Compute: 6634 + (1255 + 74302) + (-83208) / (-19081)", "solution_steps": ["Add: 1255 + 74302 = 75557", "Add: 6634 + 75557 = 82191", "Divide: -83208 / (-19081) = 83208/19081", "Add: 82191 + 83208/19081 = 1568369679/19081"], "final_answer": "1568369679/19081", "answer_type": "rational", "kind": "expression", "math_text": "6634 + (1255 + 74302) + (-83208) / (-19081)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6634, \"b\": 1255, \"c\": 74302, \"d\": -83208, \"e\": -19081}", "seed": "13549236265518283297", "semantic_fingerprint": "sha256:46b04c1aec99e50e6017b7f748b878dbe418ffc502c1b4ae5b249eb0d3c02d63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000342", "prompt": "What is 8102 * 7043?", "solution_steps": ["Multiply: 8102 * 7043 = 57062386"], "final_answer": "57062386", "answer_type": "integer", "kind": "expression", "math_text": "8102 * 7043", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8102, \"b\": 7043}", "seed": "17790195696225265207", "semantic_fingerprint": "sha256:58ce892bf19e27b3da1cb66cd7300e0c774894c842ff2ff43b9e605bd07290fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000343", "prompt": "Solve for x: x + 7820 = 40x + 6884", "solution_steps": ["Subtract 40x from both sides: -39x + 7820 = 6884", "Subtract 7820 from both sides: -39x = -936", "Divide both sides by -39: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7820 = 40x + 6884", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7820, \"b\": 40, \"d\": 6884, \"x\": 24}", "seed": "1355113769018166311", "semantic_fingerprint": "sha256:6098513e8e7a8ab4a81bdcd955262449477525e867a5b7c84d65904d76eafccd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000344", "prompt": "What value of x satisfies 22x + 16287 = -20x + 19815?", "solution_steps": ["Add 20x to both sides: 42x + 16287 = 19815", "Subtract 16287 from both sides: 42x = 3528", "Divide both sides by 42: x = 84"], "final_answer": "84", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 16287 = -20x + 19815", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 16287, \"c\": -20, \"e\": 19815, \"x\": 84}", "seed": "3787579842127636534", "semantic_fingerprint": "sha256:7e687a266e086501067e9756c09cc4822e174af385c042e2e00f6ab8e9069e6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000345", "prompt": "What value of x satisfies x + 57435 = 57381?", "solution_steps": ["Subtract 57435 from both sides: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 57435 = 57381", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57435, \"c\": 57381, \"x\": -54}", "seed": "17389953484212062191", "semantic_fingerprint": "sha256:1be153b19358576c35b83218aaf81934ed78559a22062c188712d1944c1ce038", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000346", "prompt": "Calculate: 1901 / 46090 - (-12523)", "solution_steps": ["Divide: 1901 / 46090 = 1901/46090", "Subtract: 1901/46090 - (-12523) = 577186971/46090"], "final_answer": "577186971/46090", "answer_type": "rational", "kind": "expression", "math_text": "1901 / 46090 - (-12523)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1901, \"b\": 46090, \"c\": -12523}", "seed": "12265881070454408900", "semantic_fingerprint": "sha256:43ef3aff9027bb5902921482d8212a18f1d26c6c214964577a3eaef6a983c7d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000347", "prompt": "What value of x satisfies x + 73614 = 31x + 78384?", "solution_steps": ["Subtract 31x from both sides: -30x + 73614 = 78384", "Subtract 73614 from both sides: -30x = 4770", "Divide both sides by -30: x = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 73614 = 31x + 78384", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73614, \"b\": 31, \"d\": 78384, \"x\": -159}", "seed": "7589686809297203407", "semantic_fingerprint": "sha256:fd064bb3318eef4f2da0eda77247eb6d2af11a23f73ec2d1071e0c95421e17fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000348", "prompt": "What value of x satisfies x = -36(x + 7448) + 7108?", "solution_steps": ["Expand: x = -36x - 268128 + 7108", "Combine constants: x = -36x - 261020", "Add 36x to both sides: 37x = -261020", "Divide both sides by 37: x = -261020/37"], "final_answer": "-261020/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -36(x + 7448) + 7108", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 7448, \"c\": 7108}", "seed": "10029965809466621666", "semantic_fingerprint": "sha256:a9e12fec12b447ff0dda3d5c54a30fc60d3ead4e9d5a3456ec2ee55130b2c792", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000349", "prompt": "Solve for x: x - 6139 = 23x", "solution_steps": ["Subtract 23x from both sides: -22x - 6139 = 0", "Add 6139 to both sides: -22x = 6139", "Divide both sides by -22: x = -6139/22"], "final_answer": "-6139/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6139 = 23x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6139, \"b\": 23}", "seed": "8322847540671356891", "semantic_fingerprint": "sha256:ad5ebe933a4cdf05a981a16617bf1b084ed57d9f4ad2c99cfb3dfdc2a8807602", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000350", "prompt": "Calculate: -2449 - (-7908 - 5160)", "solution_steps": ["Subtract: -7908 - 5160 = -13068", "Subtract: -2449 - (-13068) = 10619"], "final_answer": "10619", "answer_type": "integer", "kind": "expression", "math_text": "-2449 - (-7908 - 5160)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2449, \"b\": -7908, \"c\": 5160}", "seed": "13423974086035747169", "semantic_fingerprint": "sha256:6f673419be425c88c2b5841f1de658cad0d5fedd03db54ac3715a45e0e7c6b8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000351", "prompt": "Evaluate: (-5329 + (-98558)) * (61357 + (-5663))", "solution_steps": ["Add: -5329 + (-98558) = -103887", "Add: 61357 + (-5663) = 55694", "Multiply: -103887 * 55694 = -5785882578"], "final_answer": "-5785882578", "answer_type": "integer", "kind": "expression", "math_text": "(-5329 + (-98558)) * (61357 + (-5663))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5329, \"b\": -98558, \"c\": 61357, \"d\": -5663}", "seed": "13374000251756051389", "semantic_fingerprint": "sha256:7d7426e0893cebc3450b5ee72c7cc6250b0a3f3146b3a139a6cb2ef164d7d2de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000352", "prompt": "Compute: 57591 - (26519 - 6561) * (-5641)", "solution_steps": ["Subtract: 26519 - 6561 = 19958", "Multiply: 19958 * (-5641) = -112583078", "Subtract: 57591 - (-112583078) = 112640669"], "final_answer": "112640669", "answer_type": "integer", "kind": "expression", "math_text": "57591 - (26519 - 6561) * (-5641)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 57591, \"b\": 26519, \"c\": 6561, \"d\": -5641}", "seed": "16272529709829834723", "semantic_fingerprint": "sha256:596919f4eda77936a9788dcfc282224f9199fc89d2ce68eb3d56858e17a8863c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000353", "prompt": "Evaluate: -76155 / 96760 - (80546 + 96788) + (-9552)", "solution_steps": ["Divide: -76155 / 96760 = -15231/19352", "Add: 80546 + 96788 = 177334", "Subtract: -15231/19352 - 177334 = -3431782799/19352", "Add: -3431782799/19352 + (-9552) = -3616633103/19352"], "final_answer": "-3616633103/19352", "answer_type": "rational", "kind": "expression", "math_text": "-76155 / 96760 - (80546 + 96788) + (-9552)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76155, \"b\": 96760, \"c\": 80546, \"d\": 96788, \"e\": -9552}", "seed": "10450315269098196770", "semantic_fingerprint": "sha256:5fc4a6b30f7a1f0f50a5c3e66deb885d5654c0f957b670d546d39ad2ad03923d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000354", "prompt": "Compute: -7949 - 1532", "solution_steps": ["Subtract: -7949 - 1532 = -9481"], "final_answer": "-9481", "answer_type": "integer", "kind": "expression", "math_text": "-7949 - 1532", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7949, \"b\": 1532}", "seed": "8262503596730700736", "semantic_fingerprint": "sha256:f7f7d5035c9b5ee6ab2d09a5ab3f354f6048968f2bcaf77457002e9e3819a9ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000355", "prompt": "Compute: -67050 * (-6782)", "solution_steps": ["Multiply: -67050 * (-6782) = 454733100"], "final_answer": "454733100", "answer_type": "integer", "kind": "expression", "math_text": "-67050 * (-6782)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67050, \"b\": -6782}", "seed": "4577348294520320855", "semantic_fingerprint": "sha256:b7d0521cdfca850f4d91a75edd2ed1284ac7dd0bd4c77f7ae976b1de4a8e5604", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000356", "prompt": "Calculate: 4108 / (-6032) - (-70469)", "solution_steps": ["Divide: 4108 / (-6032) = -79/116", "Subtract: -79/116 - (-70469) = 8174325/116"], "final_answer": "8174325/116", "answer_type": "rational", "kind": "expression", "math_text": "4108 / (-6032) - (-70469)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4108, \"b\": -6032, \"c\": -70469}", "seed": "4341428497020665593", "semantic_fingerprint": "sha256:32ccd8368b1484d9ebbb95857cd47af0789833f691c109327ab1803d94035ca3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000357", "prompt": "Calculate: -9995 / 7745", "solution_steps": ["Divide: -9995 / 7745 = -1999/1549"], "final_answer": "-1999/1549", "answer_type": "rational", "kind": "expression", "math_text": "-9995 / 7745", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9995, \"b\": 7745}", "seed": "10565385320484359258", "semantic_fingerprint": "sha256:2667f5bd25c6515bff95851de68733814d2ac604cb7bf5ca5656397418d23eed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000358", "prompt": "Evaluate: 9203 / (6104 + 2510 + (-12123) + (-4948))", "solution_steps": ["Add: 6104 + 2510 = 8614", "Add: 8614 + (-12123) = -3509", "Add: -3509 + (-4948) = -8457", "Divide: 9203 / (-8457) = -9203/8457"], "final_answer": "-9203/8457", "answer_type": "rational", "kind": "expression", "math_text": "9203 / (6104 + 2510 + (-12123) + (-4948))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9203, \"b\": 6104, \"c\": 2510, \"d\": -12123, \"e\": -4948}", "seed": "6135778011108041421", "semantic_fingerprint": "sha256:3f261166d3adc0c281bbb32bfc04e236049dd07e3a63127f62eb3439f811263d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000359", "prompt": "Evaluate: -6068 + 3869 / (-9141) * (-82473) - (-2040)", "solution_steps": ["Divide: 3869 / (-9141) = -3869/9141", "Multiply: (-3869/9141) * (-82473) = 106362679/3047", "Add: -6068 + 106362679/3047 = 87873483/3047", "Subtract: 87873483/3047 - (-2040) = 94089363/3047"], "final_answer": "94089363/3047", "answer_type": "rational", "kind": "expression", "math_text": "-6068 + 3869 / (-9141) * (-82473) - (-2040)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6068, \"b\": 3869, \"c\": -9141, \"d\": -82473, \"e\": -2040}", "seed": "14789106545669221145", "semantic_fingerprint": "sha256:3aaad58f0ec2e4d999a939f67332f4b5dbac6b78113c0dba4be0b66e10eefe46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000360", "prompt": "Calculate: 5596 + 7919 / 8045", "solution_steps": ["Divide: 7919 / 8045 = 7919/8045", "Add: 5596 + 7919/8045 = 45027739/8045"], "final_answer": "45027739/8045", "answer_type": "rational", "kind": "expression", "math_text": "5596 + 7919 / 8045", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5596, \"b\": 7919, \"c\": 8045}", "seed": "6529690994316372730", "semantic_fingerprint": "sha256:4f21e1c80f8e8ed387f6be3fc03bc31005303dd1b059669c3670b374977fe888", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000361", "prompt": "What is 3893 * (-6090 + 9325)?", "solution_steps": ["Add: -6090 + 9325 = 3235", "Multiply: 3893 * 3235 = 12593855"], "final_answer": "12593855", "answer_type": "integer", "kind": "expression", "math_text": "3893 * (-6090 + 9325)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3893, \"b\": -6090, \"c\": 9325}", "seed": "14861434363006158401", "semantic_fingerprint": "sha256:f508cd9cad68a26a8b0ab6a6a4b5295db2c8ef539d915af3d7973278a229fd8a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000362", "prompt": "Evaluate: 9773 + (7325 - (-10044))", "solution_steps": ["Subtract: 7325 - (-10044) = 17369", "Add: 9773 + 17369 = 27142"], "final_answer": "27142", "answer_type": "integer", "kind": "expression", "math_text": "9773 + (7325 - (-10044))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9773, \"b\": 7325, \"c\": -10044}", "seed": "15163641397808817061", "semantic_fingerprint": "sha256:2d83896c422be10314009eefb3adedf4ebe9ed6bfa479e4add7aa110f2821953", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000363", "prompt": "Evaluate: 98230 - 34713 + (-7154 - (-1516))", "solution_steps": ["Subtract: 98230 - 34713 = 63517", "Subtract: -7154 - (-1516) = -5638", "Add: 63517 + (-5638) = 57879"], "final_answer": "57879", "answer_type": "integer", "kind": "expression", "math_text": "98230 - 34713 + (-7154 - (-1516))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98230, \"b\": 34713, \"c\": -7154, \"d\": -1516}", "seed": "3518914712265067198", "semantic_fingerprint": "sha256:06955dbfb841cfd4cf5476ebebcc605d96b67b78837f8c89c2822976d69e12d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000364", "prompt": "Evaluate: 81301 / (85377 / 3211)", "solution_steps": ["Divide: 85377 / 3211 = 85377/3211", "Divide: 81301 / (85377/3211) = 261057511/85377"], "final_answer": "261057511/85377", "answer_type": "rational", "kind": "expression", "math_text": "81301 / (85377 / 3211)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81301, \"b\": 85377, \"c\": 3211}", "seed": "8067711855491534950", "semantic_fingerprint": "sha256:73e88402fc97de9747cd642ee5189d3fa0811f396612d6e979b4255c0677f9dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000365", "prompt": "Evaluate: -5969 + 2853 + (-9040)", "solution_steps": ["Add: -5969 + 2853 = -3116", "Add: -3116 + (-9040) = -12156"], "final_answer": "-12156", "answer_type": "integer", "kind": "expression", "math_text": "-5969 + 2853 + (-9040)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5969, \"b\": 2853, \"c\": -9040}", "seed": "826593602059947490", "semantic_fingerprint": "sha256:fb41bae7e1af1d9b26c6cb24d657c757618f6feb18c30b15efdb8b8de8dcbea4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000366", "prompt": "Compute: -1752 + (5124 * (-34781) + 9839) * 4425", "solution_steps": ["Multiply: 5124 * (-34781) = -178217844", "Add: -178217844 + 9839 = -178208005", "Multiply: -178208005 * 4425 = -788570422125", "Add: -1752 + (-788570422125) = -788570423877"], "final_answer": "-788570423877", "answer_type": "integer", "kind": "expression", "math_text": "-1752 + (5124 * (-34781) + 9839) * 4425", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1752, \"b\": 5124, \"c\": -34781, \"d\": 9839, \"e\": 4425}", "seed": "2127041862834030204", "semantic_fingerprint": "sha256:5b8ec171d079a429617190073d21f94c597fe62b4bd3a6e0acd4fd24ca91379f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000367", "prompt": "Find x: -39x - 6550 = -10528", "solution_steps": ["Add 6550 to both sides: -39x = -3978", "Divide both sides by -39: x = 102"], "final_answer": "102", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x - 6550 = -10528", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 6550, \"d\": -10528, \"x\": 102}", "seed": "18043570264863087290", "semantic_fingerprint": "sha256:65e95a53e36c82e9273066dc241c07458df25a68fed24206b7df680f84cd2ab4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000368", "prompt": "Find x: -25(x - 9711) = 31x", "solution_steps": ["Expand: -25x + 242775 = 31x", "Subtract 31x from both sides: -56x + 242775 = 0", "Subtract 242775 from both sides: -56x = -242775", "Divide both sides by -56: x = 242775/56"], "final_answer": "242775/56", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 9711) = 31x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 9711, \"c\": 31}", "seed": "2505163407169116732", "semantic_fingerprint": "sha256:5730a25e0bc6426dabe0c0c8ebc485034ec0fdef89db1578a84b87a105699dcc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000369", "prompt": "What value of x satisfies 29x + 8140 = 37x - 8626?", "solution_steps": ["Subtract 37x from both sides: -8x + 8140 = -8626", "Subtract 8140 from both sides: -8x = -16766", "Divide both sides by -8: x = 8383/4"], "final_answer": "8383/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x + 8140 = 37x - 8626", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8140, \"c\": 37, \"d\": 8626}", "seed": "15013339260209374610", "semantic_fingerprint": "sha256:3894e5a9cafb1c4ec3a6a2a653130268b1e87179657e42e430a800f870227048", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000370", "prompt": "Solve for x: -18(x + 2075) = x - 38395", "solution_steps": ["Expand: -18x - 37350 = x - 38395", "Subtract x from both sides: -19x - 37350 = -38395", "Add 37350 to both sides: -19x = -1045", "Divide both sides by -19: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x + 2075) = x - 38395", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 2075, \"d\": -38395, \"x\": 55}", "seed": "14923280682754864618", "semantic_fingerprint": "sha256:9ca50d91ad8cc0cac13829e85fcb16c1c03353837bc93dfce9dcee29fab111fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000371", "prompt": "Solve the equation 20(x - 59761) - 2773 = 36(x + 1096) for x.", "solution_steps": ["Expand: 20x - 1195220 - 2773 = 36(x + 1096)", "Expand: 20x - 1195220 - 2773 = 36x + 39456", "Combine constants: 20x - 1197993 = 36x + 39456", "Subtract 36x from both sides: -16x - 1197993 = 39456", "Add 1197993 to both sides: -16x = 1237449", "Divide both sides by -16: x = -1237449/16"], "final_answer": "-1237449/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 59761) - 2773 = 36(x + 1096)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 59761, \"c\": 2773, \"d\": 36, \"e\": 1096}", "seed": "17864188541466751490", "semantic_fingerprint": "sha256:7fa0115c183ebfb0e8f2abf566b34c380b5c00c2892fd2b5cdf94b7f53b236d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000372", "prompt": "What is 76854 * 4497?", "solution_steps": ["Multiply: 76854 * 4497 = 345612438"], "final_answer": "345612438", "answer_type": "integer", "kind": "expression", "math_text": "76854 * 4497", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 76854, \"b\": 4497}", "seed": "5925021405787278892", "semantic_fingerprint": "sha256:129215132889971e6509de8dbe978fe0501eb8fa6ec936c8431139835fab6c31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000373", "prompt": "What is 5758 / (-8058) + (-1445)?", "solution_steps": ["Divide: 5758 / (-8058) = -2879/4029", "Add: -2879/4029 + (-1445) = -5824784/4029"], "final_answer": "-5824784/4029", "answer_type": "rational", "kind": "expression", "math_text": "5758 / (-8058) + (-1445)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5758, \"b\": -8058, \"c\": -1445}", "seed": "10409279462750163238", "semantic_fingerprint": "sha256:63f279794b50e4ff5fa150c2dd89055631572610827c4481dd189c6b1efddfe8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000374", "prompt": "What is 84964 / (-9522)?", "solution_steps": ["Divide: 84964 / (-9522) = -42482/4761"], "final_answer": "-42482/4761", "answer_type": "rational", "kind": "expression", "math_text": "84964 / (-9522)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84964, \"b\": -9522}", "seed": "18274660332248253576", "semantic_fingerprint": "sha256:ca297570dc866c08dbe761c54c9067da9578fca143119b3bb5dbd47a34618a25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000375", "prompt": "Calculate: (-4733 + 7271) * (-9380) * 1204 / (2848 - 6211)", "solution_steps": ["Add: -4733 + 7271 = 2538", "Multiply: 2538 * (-9380) = -23806440", "Multiply: -23806440 * 1204 = -28662953760", "Subtract: 2848 - 6211 = -3363", "Divide: -28662953760 / (-3363) = 9554317920/1121"], "final_answer": "9554317920/1121", "answer_type": "rational", "kind": "expression", "math_text": "(-4733 + 7271) * (-9380) * 1204 / (2848 - 6211)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4733, \"b\": 7271, \"c\": -9380, \"d\": 1204, \"e\": 2848, \"f\": 6211}", "seed": "14912346782440279570", "semantic_fingerprint": "sha256:37d00d66dafaaa057a9fce66213b051eea52556453a1664ec5ffb14fbc1f5875", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000376", "prompt": "Compute: -9238 + 31564 - 7657 * 48818", "solution_steps": ["Add: -9238 + 31564 = 22326", "Multiply: 7657 * 48818 = 373799426", "Subtract: 22326 - 373799426 = -373777100"], "final_answer": "-373777100", "answer_type": "integer", "kind": "expression", "math_text": "-9238 + 31564 - 7657 * 48818", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9238, \"b\": 31564, \"c\": 7657, \"d\": 48818}", "seed": "16957513800721950860", "semantic_fingerprint": "sha256:0283bed79a0c100a1c825ef6843e1c3455f9f398627e513d6c77f083ebdc1004", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000377", "prompt": "What is -4622 - 7209 * (-91990)?", "solution_steps": ["Multiply: 7209 * (-91990) = -663155910", "Subtract: -4622 - (-663155910) = 663151288"], "final_answer": "663151288", "answer_type": "integer", "kind": "expression", "math_text": "-4622 - 7209 * (-91990)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4622, \"b\": 7209, \"c\": -91990}", "seed": "5639581511873927762", "semantic_fingerprint": "sha256:fbefc25c07cc27f1226c4c57772590d3d655f2edb4ba6b2bfb7a656b89e082bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000378", "prompt": "Evaluate: 94156 - 3251", "solution_steps": ["Subtract: 94156 - 3251 = 90905"], "final_answer": "90905", "answer_type": "integer", "kind": "expression", "math_text": "94156 - 3251", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94156, \"b\": 3251}", "seed": "13712059988314392755", "semantic_fingerprint": "sha256:be1c56991588d027c7e8dc43fd05dbe74eea8ff6d7e3b2da5d39657d9385717f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000379", "prompt": "Solve the equation -34(x - 8834) - 66469 = x for x.", "solution_steps": ["Expand: -34x + 300356 - 66469 = x", "Combine constants: -34x + 233887 = x", "Subtract x from both sides: -35x + 233887 = 0", "Subtract 233887 from both sides: -35x = -233887", "Divide both sides by -35: x = 233887/35"], "final_answer": "233887/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x - 8834) - 66469 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 8834, \"c\": 66469}", "seed": "6516270863672837557", "semantic_fingerprint": "sha256:4d7331c48d9b5da0f67f697f7de5e14b3bcb6c5a7157e5f7c25808b09ed0610d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000380", "prompt": "Calculate: -5390 - (-4362) - (-5129 - (-9381))", "solution_steps": ["Subtract: -5390 - (-4362) = -1028", "Subtract: -5129 - (-9381) = 4252", "Subtract: -1028 - 4252 = -5280"], "final_answer": "-5280", "answer_type": "integer", "kind": "expression", "math_text": "-5390 - (-4362) - (-5129 - (-9381))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5390, \"b\": -4362, \"c\": -5129, \"d\": -9381}", "seed": "7850482869507898913", "semantic_fingerprint": "sha256:42105013810019e26c03f2fa600153caa627a6d88361f5af0388649b3fdbfff5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000381", "prompt": "Evaluate: (-85369 + (-8681)) / (54560 + (-4686)) + 53066", "solution_steps": ["Add: -85369 + (-8681) = -94050", "Add: 54560 + (-4686) = 49874", "Divide: -94050 / 49874 = -4275/2267", "Add: -4275/2267 + 53066 = 120296347/2267"], "final_answer": "120296347/2267", "answer_type": "rational", "kind": "expression", "math_text": "(-85369 + (-8681)) / (54560 + (-4686)) + 53066", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85369, \"b\": -8681, \"c\": 54560, \"d\": -4686, \"e\": 53066}", "seed": "8532755987544644885", "semantic_fingerprint": "sha256:48417c5ee0dc6a370e475f5ade97afc77e15bf1fdd90e55a236b0e24eb0cee4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000382", "prompt": "Evaluate: -5209 - 58053 / (-13128) - (-1356) - (7267 + 6393)", "solution_steps": ["Divide: 58053 / (-13128) = -19351/4376", "Subtract: -5209 - (-19351/4376) = -22775233/4376", "Subtract: -22775233/4376 - (-1356) = -16841377/4376", "Add: 7267 + 6393 = 13660", "Subtract: -16841377/4376 - 13660 = -76617537/4376"], "final_answer": "-76617537/4376", "answer_type": "rational", "kind": "expression", "math_text": "-5209 - 58053 / (-13128) - (-1356) - (7267 + 6393)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5209, \"b\": 58053, \"c\": -13128, \"d\": -1356, \"e\": 7267, \"f\": 6393}", "seed": "17861734977827209567", "semantic_fingerprint": "sha256:cd35b9f26c50384ea37b212de053639b53ee0235db64b0a2a02429bc2d74eb0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000383", "prompt": "Compute: 6473 + (-7776)", "solution_steps": ["Add: 6473 + (-7776) = -1303"], "final_answer": "-1303", "answer_type": "integer", "kind": "expression", "math_text": "6473 + (-7776)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6473, \"b\": -7776}", "seed": "11432778674950498925", "semantic_fingerprint": "sha256:4c08133bcfe69fbf0409ee02368acdb12c2fcfb90c0e9c263e0d8861098dbba4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000384", "prompt": "Calculate: -2534 - 4370 + (-54304) - (-1832 - (7970 - (-7377)))", "solution_steps": ["Subtract: -2534 - 4370 = -6904", "Add: -6904 + (-54304) = -61208", "Subtract: 7970 - (-7377) = 15347", "Subtract: -1832 - 15347 = -17179", "Subtract: -61208 - (-17179) = -44029"], "final_answer": "-44029", "answer_type": "integer", "kind": "expression", "math_text": "-2534 - 4370 + (-54304) - (-1832 - (7970 - (-7377)))", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2534, \"b\": 4370, \"c\": -54304, \"d\": -1832, \"e\": 7970, \"f\": -7377}", "seed": "5344116995969700899", "semantic_fingerprint": "sha256:d796fb38dc1669d78acb755932a33c9d71d245b62e2a64f515f2384afc2bacf8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000385", "prompt": "Find x: x + 9491 = -8782", "solution_steps": ["Subtract 9491 from both sides: x = -18273"], "final_answer": "-18273", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9491 = -8782", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9491, \"b\": -8782}", "seed": "8065225159076938648", "semantic_fingerprint": "sha256:8b7c2408f88e0761a7a6dc02ad36bbc35fff91a1fa6d99eb5f744826ade24622", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000386", "prompt": "Solve the equation x = 19(x - 5202) + 91416 for x.", "solution_steps": ["Expand: x = 19x - 98838 + 91416", "Combine constants: x = 19x - 7422", "Subtract 19x from both sides: -18x = -7422", "Divide both sides by -18: x = 1237/3"], "final_answer": "1237/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 19(x - 5202) + 91416", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5202, \"c\": 91416}", "seed": "9737510350512035344", "semantic_fingerprint": "sha256:fc52db7123c07f9f7d2037263549b6e4d2eef2b14c997c6ab77f5ea0f1598011", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000387", "prompt": "Solve for x: 25(x - 1385) - 6635 = 13(x + 2372) + 30340", "solution_steps": ["Expand: 25x - 34625 - 6635 = 13(x + 2372) + 30340", "Expand: 25x - 34625 - 6635 = 13x + 30836 + 30340", "Combine constants: 25x - 41260 = 13x + 30836 + 30340", "Combine constants: 25x - 41260 = 13x + 61176", "Subtract 13x from both sides: 12x - 41260 = 61176", "Add 41260 to both sides: 12x = 102436", "Divide both sides by 12: x = 25609/3"], "final_answer": "25609/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 1385) - 6635 = 13(x + 2372) + 30340", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1385, \"c\": 6635, \"d\": 13, \"e\": 2372, \"f\": 30340}", "seed": "11538271707275337237", "semantic_fingerprint": "sha256:ad1384c30dde6666dbaf9ba4795c09d46bd6c7363a7549e2038307cfc834444e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000388", "prompt": "Compute: 72441 / (-52080 - 8144)", "solution_steps": ["Subtract: -52080 - 8144 = -60224", "Divide: 72441 / (-60224) = -72441/60224"], "final_answer": "-72441/60224", "answer_type": "rational", "kind": "expression", "math_text": "72441 / (-52080 - 8144)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72441, \"b\": -52080, \"c\": 8144}", "seed": "2651150856121489761", "semantic_fingerprint": "sha256:1f541be5b35509dfbdb399fd1c470cbbeac8a9e0f12bce6352ad2df1840fca2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000389", "prompt": "Solve for x: 25(x - 3896) - 8750 = 40(x + 5793)", "solution_steps": ["Expand: 25x - 97400 - 8750 = 40(x + 5793)", "Expand: 25x - 97400 - 8750 = 40x + 231720", "Combine constants: 25x - 106150 = 40x + 231720", "Subtract 40x from both sides: -15x - 106150 = 231720", "Add 106150 to both sides: -15x = 337870", "Divide both sides by -15: x = -67574/3"], "final_answer": "-67574/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 3896) - 8750 = 40(x + 5793)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3896, \"c\": 8750, \"d\": 40, \"e\": 5793}", "seed": "11593235060299877478", "semantic_fingerprint": "sha256:a4b30cc1b1e51cea6ac913bb7fbde2e7ec80fd488e004f2a578755e0626391e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000390", "prompt": "Calculate: -97222 - 7148 * (-7179)", "solution_steps": ["Multiply: 7148 * (-7179) = -51315492", "Subtract: -97222 - (-51315492) = 51218270"], "final_answer": "51218270", "answer_type": "integer", "kind": "expression", "math_text": "-97222 - 7148 * (-7179)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97222, \"b\": 7148, \"c\": -7179}", "seed": "13285653556718511317", "semantic_fingerprint": "sha256:e0eec7aaba1375be7e53fa11a676c15a51ee418f1fbefb8de19fe2fa15db96a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000391", "prompt": "Find x: x = 24x + 4439", "solution_steps": ["Subtract 24x from both sides: -23x = 4439", "Divide both sides by -23: x = -193"], "final_answer": "-193", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 24x + 4439", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": 4439, \"x\": -193}", "seed": "7643409010719594692", "semantic_fingerprint": "sha256:07cdd71b144edc027516656d595eab38e96b587cafd44ca17d3f7658ad572310", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000392", "prompt": "What is 1187 * (-7897 - (-13540))?", "solution_steps": ["Subtract: -7897 - (-13540) = 5643", "Multiply: 1187 * 5643 = 6698241"], "final_answer": "6698241", "answer_type": "integer", "kind": "expression", "math_text": "1187 * (-7897 - (-13540))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1187, \"b\": -7897, \"c\": -13540}", "seed": "8476818297735687300", "semantic_fingerprint": "sha256:67db9f44749cb439ce90ea54a4be2bea03f99a7d45d9c1a98b9b55fd82c63bcf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000393", "prompt": "Solve for x: -37x = 18(x - 2684) + 38907", "solution_steps": ["Expand: -37x = 18x - 48312 + 38907", "Combine constants: -37x = 18x - 9405", "Subtract 18x from both sides: -55x = -9405", "Divide both sides by -55: x = 171"], "final_answer": "171", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x = 18(x - 2684) + 38907", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 18, \"c\": 2684, \"e\": 38907, \"x\": 171}", "seed": "4527262695903617401", "semantic_fingerprint": "sha256:605f52df2ec00041dd1d20e48d3fb14da14470e3f363ac6312c9a30d49649431", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000394", "prompt": "What is 61182 + (-32579)?", "solution_steps": ["Add: 61182 + (-32579) = 28603"], "final_answer": "28603", "answer_type": "integer", "kind": "expression", "math_text": "61182 + (-32579)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 61182, \"b\": -32579}", "seed": "4718101313489681721", "semantic_fingerprint": "sha256:e847e6ad2f4fba3a637bb98fff3d2c663df87ce01cc4f8ab0db0be1f49a021cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000395", "prompt": "Evaluate: -40419 - (-8464)", "solution_steps": ["Subtract: -40419 - (-8464) = -31955"], "final_answer": "-31955", "answer_type": "integer", "kind": "expression", "math_text": "-40419 - (-8464)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -40419, \"b\": -8464}", "seed": "4774142109054993081", "semantic_fingerprint": "sha256:ce08a98595ee4d99760ba2ac47a1a063931252669caca7972b2d6cc94cdcabec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000396", "prompt": "Compute: (6656 - 6433) * 6087", "solution_steps": ["Subtract: 6656 - 6433 = 223", "Multiply: 223 * 6087 = 1357401"], "final_answer": "1357401", "answer_type": "integer", "kind": "expression", "math_text": "(6656 - 6433) * 6087", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6656, \"b\": 6433, \"c\": 6087}", "seed": "10104186964863186535", "semantic_fingerprint": "sha256:13dc045950652f3e835bfca8c894065f9dd0bebae19dda3ffdacd25770abbb44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000397", "prompt": "Evaluate: 6591 - (-2868) - (29237 / (-8517) - (-64892)) - (-3713)", "solution_steps": ["Subtract: 6591 - (-2868) = 9459", "Divide: 29237 / (-8517) = -29237/8517", "Subtract: -29237/8517 - (-64892) = 552655927/8517", "Subtract: 9459 - 552655927/8517 = -472093624/8517", "Subtract: -472093624/8517 - (-3713) = -440470003/8517"], "final_answer": "-440470003/8517", "answer_type": "rational", "kind": "expression", "math_text": "6591 - (-2868) - (29237 / (-8517) - (-64892)) - (-3713)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (- (/ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6591, \"b\": -2868, \"c\": 29237, \"d\": -8517, \"e\": -64892, \"f\": -3713}", "seed": "2100741384596216857", "semantic_fingerprint": "sha256:8ac175a502ea30b8828ebb566add5c57f3610add8ea9116b08819bc7c3c93e0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000398", "prompt": "Calculate: 74711 * 75512 - 88235", "solution_steps": ["Multiply: 74711 * 75512 = 5641577032", "Subtract: 5641577032 - 88235 = 5641488797"], "final_answer": "5641488797", "answer_type": "integer", "kind": "expression", "math_text": "74711 * 75512 - 88235", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74711, \"b\": 75512, \"c\": 88235}", "seed": "17014259825592325120", "semantic_fingerprint": "sha256:d65bfb1efcd3b35e5d42c8f28e4755178d8d9a7b387654810452ef7e3da19b43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000399", "prompt": "Evaluate: (-44868 + 3510) * 6530", "solution_steps": ["Add: -44868 + 3510 = -41358", "Multiply: -41358 * 6530 = -270067740"], "final_answer": "-270067740", "answer_type": "integer", "kind": "expression", "math_text": "(-44868 + 3510) * 6530", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44868, \"b\": 3510, \"c\": 6530}", "seed": "12798496187809783505", "semantic_fingerprint": "sha256:50dc5d57a5f74954c970b7f1b1eba908a56f50ad4cc034ccc7fdbfeadad0566e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000400", "prompt": "Compute: -7628 / 7985 - (-21409)", "solution_steps": ["Divide: -7628 / 7985 = -7628/7985", "Subtract: -7628/7985 - (-21409) = 170943237/7985"], "final_answer": "170943237/7985", "answer_type": "rational", "kind": "expression", "math_text": "-7628 / 7985 - (-21409)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7628, \"b\": 7985, \"c\": -21409}", "seed": "11280898999787098856", "semantic_fingerprint": "sha256:a7ad96b8a81fc1a6246ac2cb0030ce105fb1f65e5a61546863c344c515c84bbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000401", "prompt": "Evaluate: (-76309 - (-62459)) * (8040 + 5556) * (-3754)", "solution_steps": ["Subtract: -76309 - (-62459) = -13850", "Add: 8040 + 5556 = 13596", "Multiply: -13850 * 13596 = -188304600", "Multiply: -188304600 * (-3754) = 706895468400"], "final_answer": "706895468400", "answer_type": "integer", "kind": "expression", "math_text": "(-76309 - (-62459)) * (8040 + 5556) * (-3754)", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76309, \"b\": -62459, \"c\": 8040, \"d\": 5556, \"e\": -3754}", "seed": "10212102912450857712", "semantic_fingerprint": "sha256:a894a038ce2838d5dc05854e550d80c75b23ce522b725da529244e27ee3de4f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000402", "prompt": "Calculate: 2452 * (-8061) / (-59840 / 89793)", "solution_steps": ["Multiply: 2452 * (-8061) = -19765572", "Divide: -59840 / 89793 = -5440/8163", "Divide: -19765572 / (-5440/8163) = 40336591059/1360"], "final_answer": "40336591059/1360", "answer_type": "rational", "kind": "expression", "math_text": "2452 * (-8061) / (-59840 / 89793)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2452, \"b\": -8061, \"c\": -59840, \"d\": 89793}", "seed": "4837967230582118563", "semantic_fingerprint": "sha256:62955939d66c752761e0373efb692f3c791a478cb2ad68a6a29cd8f8633c4e2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000403", "prompt": "Compute: -5907 * 9001", "solution_steps": ["Multiply: -5907 * 9001 = -53168907"], "final_answer": "-53168907", "answer_type": "integer", "kind": "expression", "math_text": "-5907 * 9001", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5907, \"b\": 9001}", "seed": "9611565085363937244", "semantic_fingerprint": "sha256:ddc2750f20a8751bcaa343e98b8f95006dbf291e11e3a7ea225d9d9fafce5abe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000404", "prompt": "Calculate: -89979 - (-5986)", "solution_steps": ["Subtract: -89979 - (-5986) = -83993"], "final_answer": "-83993", "answer_type": "integer", "kind": "expression", "math_text": "-89979 - (-5986)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -89979, \"b\": -5986}", "seed": "11012918482474920218", "semantic_fingerprint": "sha256:d821571e166c7681fa6b03dba6ac62f825d1e6f92f8041445db7d2f86fcfed31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000405", "prompt": "Calculate: -8053 + (-9197) + (-6204 + (-26442))", "solution_steps": ["Add: -8053 + (-9197) = -17250", "Add: -6204 + (-26442) = -32646", "Add: -17250 + (-32646) = -49896"], "final_answer": "-49896", "answer_type": "integer", "kind": "expression", "math_text": "-8053 + (-9197) + (-6204 + (-26442))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8053, \"b\": -9197, \"c\": -6204, \"d\": -26442}", "seed": "17613129921514473548", "semantic_fingerprint": "sha256:2dfe3f8bba732fe645ce7b2f2952b6caf3318990498ea8674a6f333710efbde5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000406", "prompt": "Calculate: -56708 / (-53194)", "solution_steps": ["Divide: -56708 / (-53194) = 28354/26597"], "final_answer": "28354/26597", "answer_type": "rational", "kind": "expression", "math_text": "-56708 / (-53194)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56708, \"b\": -53194}", "seed": "3517206450658918469", "semantic_fingerprint": "sha256:eaacd659479a14d62e88bdb8b732d94d10461793b2a035de429b0e5a2b0158e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000407", "prompt": "Evaluate: -78703 + (-91425) - 3124 / (-7440)", "solution_steps": ["Add: -78703 + (-91425) = -170128", "Divide: 3124 / (-7440) = -781/1860", "Subtract: -170128 - (-781/1860) = -316437299/1860"], "final_answer": "-316437299/1860", "answer_type": "rational", "kind": "expression", "math_text": "-78703 + (-91425) - 3124 / (-7440)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -78703, \"b\": -91425, \"c\": 3124, \"d\": -7440}", "seed": "16261946056458759776", "semantic_fingerprint": "sha256:bd29dc719ae6022a1164d798b772ec140e30eab32604342564d6c1b9e7ed5393", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000408", "prompt": "Compute: (83645 - 37497) / 28257", "solution_steps": ["Subtract: 83645 - 37497 = 46148", "Divide: 46148 / 28257 = 46148/28257"], "final_answer": "46148/28257", "answer_type": "rational", "kind": "expression", "math_text": "(83645 - 37497) / 28257", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83645, \"b\": 37497, \"c\": 28257}", "seed": "8808311539235589372", "semantic_fingerprint": "sha256:6be519170b52f56b46c8260055d1788d716283486dee81aad2528711dcc9bd79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000409", "prompt": "Calculate: 4990 + (-14990) + (-71400) / 8672 * (27700 - 3370)", "solution_steps": ["Add: 4990 + (-14990) = -10000", "Divide: -71400 / 8672 = -8925/1084", "Subtract: 27700 - 3370 = 24330", "Multiply: (-8925/1084) * 24330 = -108572625/542", "Add: -10000 + (-108572625/542) = -113992625/542"], "final_answer": "-113992625/542", "answer_type": "rational", "kind": "expression", "math_text": "4990 + (-14990) + (-71400) / 8672 * (27700 - 3370)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (/ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4990, \"b\": -14990, \"c\": -71400, \"d\": 8672, \"e\": 27700, \"f\": 3370}", "seed": "15198859231242175983", "semantic_fingerprint": "sha256:a33179510f36dfde6f3657e194a8c990fcf4b976880bb8fb38ccb8880768abab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000410", "prompt": "Evaluate: -37677 - 4635 - (-5678) * (-6472)", "solution_steps": ["Subtract: -37677 - 4635 = -42312", "Multiply: -5678 * (-6472) = 36748016", "Subtract: -42312 - 36748016 = -36790328"], "final_answer": "-36790328", "answer_type": "integer", "kind": "expression", "math_text": "-37677 - 4635 - (-5678) * (-6472)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37677, \"b\": 4635, \"c\": -5678, \"d\": -6472}", "seed": "12277033420185874528", "semantic_fingerprint": "sha256:ffb9f2e7821a8733684f0ed32560025085081afec416d80bed27f871d9a35da8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000411", "prompt": "Calculate: -6961 / (95628 + 29474)", "solution_steps": ["Add: 95628 + 29474 = 125102", "Divide: -6961 / 125102 = -6961/125102"], "final_answer": "-6961/125102", "answer_type": "rational", "kind": "expression", "math_text": "-6961 / (95628 + 29474)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6961, \"b\": 95628, \"c\": 29474}", "seed": "9604091557348445694", "semantic_fingerprint": "sha256:921efe9b58e308feddb806d42129b06fa8bd430d8ba04806572b9876a43c532a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000412", "prompt": "What is 19957 * (-58378 / 13603)?", "solution_steps": ["Divide: -58378 / 13603 = -58378/13603", "Multiply: 19957 * (-58378/13603) = -1165049746/13603"], "final_answer": "-1165049746/13603", "answer_type": "rational", "kind": "expression", "math_text": "19957 * (-58378 / 13603)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19957, \"b\": -58378, \"c\": 13603}", "seed": "17143726000416341821", "semantic_fingerprint": "sha256:7aff58c749f618c0f7c9545fbd2450c28920205ff327a459220f2b71d97609a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000413", "prompt": "What value of x satisfies 33(x - 61299) = 29(x + 1513)?", "solution_steps": ["Expand: 33x - 2022867 = 29(x + 1513)", "Expand: 33x - 2022867 = 29x + 43877", "Subtract 29x from both sides: 4x - 2022867 = 43877", "Add 2022867 to both sides: 4x = 2066744", "Divide both sides by 4: x = 516686"], "final_answer": "516686", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 61299) = 29(x + 1513)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 61299, \"c\": 29, \"d\": 1513}", "seed": "12682907631817765849", "semantic_fingerprint": "sha256:8283ee559fea5f7df7b0bdb881b64e9509190211bbb2c0173e72e037f29b2398", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000414", "prompt": "What is 9653 * 66835?", "solution_steps": ["Multiply: 9653 * 66835 = 645158255"], "final_answer": "645158255", "answer_type": "integer", "kind": "expression", "math_text": "9653 * 66835", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9653, \"b\": 66835}", "seed": "15888869871406191016", "semantic_fingerprint": "sha256:ad18ff9c632575f70f15b339bdcd1e06f5f1a68d173daac766d0f806a5be0f75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000415", "prompt": "Evaluate: 8816 / (-1652)", "solution_steps": ["Divide: 8816 / (-1652) = -2204/413"], "final_answer": "-2204/413", "answer_type": "rational", "kind": "expression", "math_text": "8816 / (-1652)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8816, \"b\": -1652}", "seed": "15265586485778116633", "semantic_fingerprint": "sha256:3deb5e6918876dfa8a7bb494d337ce7ff74d4082dfc64a97aba168b31f875f30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000416", "prompt": "Evaluate: (74952 + (-8810 - 8803)) / (-95748)", "solution_steps": ["Subtract: -8810 - 8803 = -17613", "Add: 74952 + (-17613) = 57339", "Divide: 57339 / (-95748) = -19113/31916"], "final_answer": "-19113/31916", "answer_type": "rational", "kind": "expression", "math_text": "(74952 + (-8810 - 8803)) / (-95748)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 74952, \"b\": -8810, \"c\": 8803, \"d\": -95748}", "seed": "8431693972684334424", "semantic_fingerprint": "sha256:b6af0e8dfdd130064470e833048895bc8536f7b99ebf3e4d97d2afc9683d04a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000417", "prompt": "Compute: 60724 * 8855", "solution_steps": ["Multiply: 60724 * 8855 = 537711020"], "final_answer": "537711020", "answer_type": "integer", "kind": "expression", "math_text": "60724 * 8855", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60724, \"b\": 8855}", "seed": "13750468437925218683", "semantic_fingerprint": "sha256:8772882c794032b21bd3e124863e9c68a37cc80c2b2ec06cef3fce05b38d2885", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000418", "prompt": "Calculate: (-66081 + (-98335)) / (-9664)", "solution_steps": ["Add: -66081 + (-98335) = -164416", "Divide: -164416 / (-9664) = 2569/151"], "final_answer": "2569/151", "answer_type": "rational", "kind": "expression", "math_text": "(-66081 + (-98335)) / (-9664)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -66081, \"b\": -98335, \"c\": -9664}", "seed": "13285489664972193822", "semantic_fingerprint": "sha256:55179c73b4e6becc1560601815491f08522c79034551780d49f70e07ed0f91ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000419", "prompt": "Compute: -4784 - 27965", "solution_steps": ["Subtract: -4784 - 27965 = -32749"], "final_answer": "-32749", "answer_type": "integer", "kind": "expression", "math_text": "-4784 - 27965", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4784, \"b\": 27965}", "seed": "7192630737302455650", "semantic_fingerprint": "sha256:77c4d3b112c383eda739054cbf48b37a7b5d4582d4c37cb4b8c699c42fa83e2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000420", "prompt": "What is 44905 + (-67804) / (40078 + (-8887)) + (-78899 + 8678)?", "solution_steps": ["Add: 40078 + (-8887) = 31191", "Divide: -67804 / 31191 = -67804/31191", "Add: 44905 + (-67804/31191) = 1400564051/31191", "Add: -78899 + 8678 = -70221", "Add: 1400564051/31191 + (-70221) = -789699160/31191"], "final_answer": "-789699160/31191", "answer_type": "rational", "kind": "expression", "math_text": "44905 + (-67804) / (40078 + (-8887)) + (-78899 + 8678)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n (+ n n))) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 44905, \"b\": -67804, \"c\": 40078, \"d\": -8887, \"e\": -78899, \"f\": 8678}", "seed": "3786743847392353854", "semantic_fingerprint": "sha256:0e9045b2baa040f3dae71f6ce9c9395f7178f790a6248f89c6dcab3110d7ba2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000421", "prompt": "What is -5119 - (-8373)?", "solution_steps": ["Subtract: -5119 - (-8373) = 3254"], "final_answer": "3254", "answer_type": "integer", "kind": "expression", "math_text": "-5119 - (-8373)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5119, \"b\": -8373}", "seed": "3425019643214827623", "semantic_fingerprint": "sha256:01fe5328c9881fd4ab90032d91760c4d7eeb8186267335e597bd574c59eada05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000422", "prompt": "Solve the equation 23(x + 2518) = -9461 for x.", "solution_steps": ["Expand: 23x + 57914 = -9461", "Subtract 57914 from both sides: 23x = -67375", "Divide both sides by 23: x = -67375/23"], "final_answer": "-67375/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 2518) = -9461", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 2518, \"c\": -9461}", "seed": "17544476554390348385", "semantic_fingerprint": "sha256:3e71c719b16c5c4af0f9778a67b466181e3c37ef4cd611f1576ec64938b726aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000423", "prompt": "Solve the equation x - 6439 = 31(x - 62262) - 29852 for x.", "solution_steps": ["Expand: x - 6439 = 31x - 1930122 - 29852", "Combine constants: x - 6439 = 31x - 1959974", "Subtract 31x from both sides: -30x - 6439 = -1959974", "Add 6439 to both sides: -30x = -1953535", "Divide both sides by -30: x = 390707/6"], "final_answer": "390707/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6439 = 31(x - 62262) - 29852", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6439, \"b\": 31, \"c\": 62262, \"d\": 29852}", "seed": "18135460097114191101", "semantic_fingerprint": "sha256:1726f2089ba989954ec695b5ff5aea0c683aa1dafcfc3734646f9e1b11aa3e5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000424", "prompt": "Evaluate: 4720 * (-2435) / (8969 - 5297)", "solution_steps": ["Multiply: 4720 * (-2435) = -11493200", "Subtract: 8969 - 5297 = 3672", "Divide: -11493200 / 3672 = -1436650/459"], "final_answer": "-1436650/459", "answer_type": "rational", "kind": "expression", "math_text": "4720 * (-2435) / (8969 - 5297)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4720, \"b\": -2435, \"c\": 8969, \"d\": 5297}", "seed": "7299511253636286938", "semantic_fingerprint": "sha256:b480b5785b15905a81b25f4fa575abb4a1159902e297e924349866270217f30c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000425", "prompt": "Find x: 24(x - 91569) = 20x", "solution_steps": ["Expand: 24x - 2197656 = 20x", "Subtract 20x from both sides: 4x - 2197656 = 0", "Add 2197656 to both sides: 4x = 2197656", "Divide both sides by 4: x = 549414"], "final_answer": "549414", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 91569) = 20x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 91569, \"c\": 20}", "seed": "15588319954110376930", "semantic_fingerprint": "sha256:21dcf90201089bf5cf861bf190176c60a9eb361c66d783bc85bde42144b833e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000426", "prompt": "Compute: (-3283 + (-6578) - 5761) / (38149 - 7023)", "solution_steps": ["Add: -3283 + (-6578) = -9861", "Subtract: -9861 - 5761 = -15622", "Subtract: 38149 - 7023 = 31126", "Divide: -15622 / 31126 = -7811/15563"], "final_answer": "-7811/15563", "answer_type": "rational", "kind": "expression", "math_text": "(-3283 + (-6578) - 5761) / (38149 - 7023)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3283, \"b\": -6578, \"c\": 5761, \"d\": 38149, \"e\": 7023}", "seed": "14207873728009109102", "semantic_fingerprint": "sha256:528ac9b6a9cb648d9041895b4c74a17ed3d2ba35b84348f77d7113c8347cdff0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000427", "prompt": "Evaluate: -44829 + (-5189)", "solution_steps": ["Add: -44829 + (-5189) = -50018"], "final_answer": "-50018", "answer_type": "integer", "kind": "expression", "math_text": "-44829 + (-5189)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -44829, \"b\": -5189}", "seed": "10707407038031009523", "semantic_fingerprint": "sha256:615b4fcf0faf36226203b3be9fcbc0d7bbe783b47964d1d5146d68fb5436930a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000428", "prompt": "Evaluate: 5985 + (-1689)", "solution_steps": ["Add: 5985 + (-1689) = 4296"], "final_answer": "4296", "answer_type": "integer", "kind": "expression", "math_text": "5985 + (-1689)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5985, \"b\": -1689}", "seed": "372747950318787493", "semantic_fingerprint": "sha256:43a13d49a144b8fcf7032c23ad272118d2a5ba900635fa585652bb8f1f3c126a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000429", "prompt": "Find x: 40(x - 4549) = -38(x - 5271) - 99022", "solution_steps": ["Expand: 40x - 181960 = -38(x - 5271) - 99022", "Expand: 40x - 181960 = -38x + 200298 - 99022", "Combine constants: 40x - 181960 = -38x + 101276", "Add 38x to both sides: 78x - 181960 = 101276", "Add 181960 to both sides: 78x = 283236", "Divide both sides by 78: x = 47206/13"], "final_answer": "47206/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 4549) = -38(x - 5271) - 99022", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 4549, \"c\": -38, \"d\": 5271, \"e\": 99022}", "seed": "11827316823487178254", "semantic_fingerprint": "sha256:a2ff51c5b2007d3abeff7e107164249bee94cc7d7e3e0396c59839393915dd8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000430", "prompt": "Evaluate: (-6430 + (-3454) * (-1101)) * (-5542)", "solution_steps": ["Multiply: -3454 * (-1101) = 3802854", "Add: -6430 + 3802854 = 3796424", "Multiply: 3796424 * (-5542) = -21039781808"], "final_answer": "-21039781808", "answer_type": "integer", "kind": "expression", "math_text": "(-6430 + (-3454) * (-1101)) * (-5542)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6430, \"b\": -3454, \"c\": -1101, \"d\": -5542}", "seed": "10345169951958664899", "semantic_fingerprint": "sha256:213f8de614450238d5574d0382de526102296590dec982205dcf4744c7f85920", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000431", "prompt": "What is (6991 + 6874) / (-53532 + 69394 - 7756)?", "solution_steps": ["Add: 6991 + 6874 = 13865", "Add: -53532 + 69394 = 15862", "Subtract: 15862 - 7756 = 8106", "Divide: 13865 / 8106 = 13865/8106"], "final_answer": "13865/8106", "answer_type": "rational", "kind": "expression", "math_text": "(6991 + 6874) / (-53532 + 69394 - 7756)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6991, \"b\": 6874, \"c\": -53532, \"d\": 69394, \"e\": 7756}", "seed": "8588499927482138460", "semantic_fingerprint": "sha256:1a831a1b460ad31e51263fcaa6a182c98364a7fe4664ae6d29249d37340f9161", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000432", "prompt": "What is -6426 / 15799 + (-2742)?", "solution_steps": ["Divide: -6426 / 15799 = -918/2257", "Add: -918/2257 + (-2742) = -6189612/2257"], "final_answer": "-6189612/2257", "answer_type": "rational", "kind": "expression", "math_text": "-6426 / 15799 + (-2742)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6426, \"b\": 15799, \"c\": -2742}", "seed": "4080655650478352366", "semantic_fingerprint": "sha256:1017c9472154d881cac308c7e394921e61308adc09cff77b6d0eab45b7405cd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000433", "prompt": "What is -5118 - (-7732)?", "solution_steps": ["Subtract: -5118 - (-7732) = 2614"], "final_answer": "2614", "answer_type": "integer", "kind": "expression", "math_text": "-5118 - (-7732)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5118, \"b\": -7732}", "seed": "4621569748546541760", "semantic_fingerprint": "sha256:12a39690a5b27ad13aae1e84758cedbe9e70f27a67e2258d2e7092f2f9e5ea98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000434", "prompt": "Find x: 21(x - 2135) = x", "solution_steps": ["Expand: 21x - 44835 = x", "Subtract x from both sides: 20x - 44835 = 0", "Add 44835 to both sides: 20x = 44835", "Divide both sides by 20: x = 8967/4"], "final_answer": "8967/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 2135) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 2135}", "seed": "11962752417679511364", "semantic_fingerprint": "sha256:b326c896b0da44cda7eaee85e419adebb4901e440eb353a3c8f08c182f8dc465", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000435", "prompt": "Solve for x: x - 44355 = 4976", "solution_steps": ["Add 44355 to both sides: x = 49331"], "final_answer": "49331", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 44355 = 4976", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44355, \"b\": 4976}", "seed": "4638003323878037014", "semantic_fingerprint": "sha256:2e34e596cd8693957e7e1b204e0e704dfdc90ef1ff87f033636774af50e43423", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000436", "prompt": "What value of x satisfies x = 36(x - 1306) + 44916?", "solution_steps": ["Expand: x = 36x - 47016 + 44916", "Combine constants: x = 36x - 2100", "Subtract 36x from both sides: -35x = -2100", "Divide both sides by -35: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 36(x - 1306) + 44916", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1306, \"d\": 44916, \"x\": 60}", "seed": "6850342270075955622", "semantic_fingerprint": "sha256:a269cd0fbeba227b08afbfcbcc342df11d347ab1dbbfc6b3f6a2502c818b0c42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000437", "prompt": "Evaluate: -7131 * (-7673) - 2717 * 95314", "solution_steps": ["Multiply: -7131 * (-7673) = 54716163", "Multiply: 2717 * 95314 = 258968138", "Subtract: 54716163 - 258968138 = -204251975"], "final_answer": "-204251975", "answer_type": "integer", "kind": "expression", "math_text": "-7131 * (-7673) - 2717 * 95314", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7131, \"b\": -7673, \"c\": 2717, \"d\": 95314}", "seed": "12860886756726865816", "semantic_fingerprint": "sha256:32838ea7cdbd8d05fbb6b4b602f09c658f7cf99036de1de74420cf431aa25bca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000438", "prompt": "Find x: 39x + 6441 = 34(x - 45080)", "solution_steps": ["Expand: 39x + 6441 = 34x - 1532720", "Subtract 34x from both sides: 5x + 6441 = -1532720", "Subtract 6441 from both sides: 5x = -1539161", "Divide both sides by 5: x = -1539161/5"], "final_answer": "-1539161/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 6441 = 34(x - 45080)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 6441, \"c\": 34, \"d\": 45080}", "seed": "8102814522577999702", "semantic_fingerprint": "sha256:97ed230f3a8ecfcac8b723752b1a053c7e10998b24ac2452bf7b9c4d07a0e730", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000439", "prompt": "What is -9022 + (-63241) - 9425?", "solution_steps": ["Add: -9022 + (-63241) = -72263", "Subtract: -72263 - 9425 = -81688"], "final_answer": "-81688", "answer_type": "integer", "kind": "expression", "math_text": "-9022 + (-63241) - 9425", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9022, \"b\": -63241, \"c\": 9425}", "seed": "10956219596576953569", "semantic_fingerprint": "sha256:83a7c31c1233c83f5728cb566535889a267b863fac48b41f9d9ebeb44d785f38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000440", "prompt": "Solve the equation x = -39x + 4600 for x.", "solution_steps": ["Add 39x to both sides: 40x = 4600", "Divide both sides by 40: x = 115"], "final_answer": "115", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -39x + 4600", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39, \"c\": 4600, \"x\": 115}", "seed": "3757791039849044053", "semantic_fingerprint": "sha256:0a7621ef2eed8f12813bbc323078ff37914f21a21baf7ec625acdaf39a357118", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000441", "prompt": "What is (9530 - 4039 * (-1473)) / (-5296) - (-9153)?", "solution_steps": ["Multiply: 4039 * (-1473) = -5949447", "Subtract: 9530 - (-5949447) = 5958977", "Divide: 5958977 / (-5296) = -5958977/5296", "Subtract: -5958977/5296 - (-9153) = 42515311/5296"], "final_answer": "42515311/5296", "answer_type": "rational", "kind": "expression", "math_text": "(9530 - 4039 * (-1473)) / (-5296) - (-9153)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9530, \"b\": 4039, \"c\": -1473, \"d\": -5296, \"e\": -9153}", "seed": "1292261361524789271", "semantic_fingerprint": "sha256:ebd4a416007b1590eb2fb04658b184abe147a47fccb2ad2cfc21ebbe13ada83a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000442", "prompt": "Solve for x: 19(x + 9340) - 5572 = 21(x + 78911)", "solution_steps": ["Expand: 19x + 177460 - 5572 = 21(x + 78911)", "Expand: 19x + 177460 - 5572 = 21x + 1657131", "Combine constants: 19x + 171888 = 21x + 1657131", "Subtract 21x from both sides: -2x + 171888 = 1657131", "Subtract 171888 from both sides: -2x = 1485243", "Divide both sides by -2: x = -1485243/2"], "final_answer": "-1485243/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 9340) - 5572 = 21(x + 78911)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 9340, \"c\": 5572, \"d\": 21, \"e\": 78911}", "seed": "3832602630958139283", "semantic_fingerprint": "sha256:bcd37b738ec0eccc88a96a0b1a288e1fec6ff1f4057b26f83d1392f0a719317a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000443", "prompt": "Compute: -9029 - (-2898) + (-33823)", "solution_steps": ["Subtract: -9029 - (-2898) = -6131", "Add: -6131 + (-33823) = -39954"], "final_answer": "-39954", "answer_type": "integer", "kind": "expression", "math_text": "-9029 - (-2898) + (-33823)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9029, \"b\": -2898, \"c\": -33823}", "seed": "8717159125165915592", "semantic_fingerprint": "sha256:f0650a47df4d4ad604b09b033bed0ce71bde217cc0488dc275ffde228152ca6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000444", "prompt": "What value of x satisfies 29(x + 1618) - 51206 = x?", "solution_steps": ["Expand: 29x + 46922 - 51206 = x", "Combine constants: 29x - 4284 = x", "Subtract x from both sides: 28x - 4284 = 0", "Add 4284 to both sides: 28x = 4284", "Divide both sides by 28: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 1618) - 51206 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1618, \"d\": -51206, \"x\": 153}", "seed": "10137564370415605817", "semantic_fingerprint": "sha256:73b24881c162edcd39d02228281798c4f1bb9783b9255f8699942744290ca12f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000445", "prompt": "Calculate: -57098 + (-29092 - (3207 / 7383 - (-69187 - 35354)))", "solution_steps": ["Divide: 3207 / 7383 = 1069/2461", "Subtract: -69187 - 35354 = -104541", "Subtract: 1069/2461 - (-104541) = 257276470/2461", "Subtract: -29092 - 257276470/2461 = -328871882/2461", "Add: -57098 + (-328871882/2461) = -469390060/2461"], "final_answer": "-469390060/2461", "answer_type": "rational", "kind": "expression", "math_text": "-57098 + (-29092 - (3207 / 7383 - (-69187 - 35354)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (- (/ n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -57098, \"b\": -29092, \"c\": 3207, \"d\": 7383, \"e\": -69187, \"f\": 35354}", "seed": "13337847024866953547", "semantic_fingerprint": "sha256:4b824e910286e4b46710982d7aa8b20ff469263df4c587c4e3d0aa7e77e53a4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000446", "prompt": "What value of x satisfies 31x + 2790 = x?", "solution_steps": ["Subtract x from both sides: 30x + 2790 = 0", "Subtract 2790 from both sides: 30x = -2790", "Divide both sides by 30: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 2790 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 2790, \"x\": -93}", "seed": "7423550584055636290", "semantic_fingerprint": "sha256:2e811cbf1840a811fa08d857028f8d204e799efa7b124cfa1e573a6567de799b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000447", "prompt": "What is 75401 - (-3692) - (-7265 - 6243)?", "solution_steps": ["Subtract: 75401 - (-3692) = 79093", "Subtract: -7265 - 6243 = -13508", "Subtract: 79093 - (-13508) = 92601"], "final_answer": "92601", "answer_type": "integer", "kind": "expression", "math_text": "75401 - (-3692) - (-7265 - 6243)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75401, \"b\": -3692, \"c\": -7265, \"d\": 6243}", "seed": "14811764514242357599", "semantic_fingerprint": "sha256:921f54e9fd9ab82336b44f8fb60e6bf82b158721f3827b5dfedacdd497b63571", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000448", "prompt": "Calculate: -1957 - (-2428) - 35503 / (-53506)", "solution_steps": ["Subtract: -1957 - (-2428) = 471", "Divide: 35503 / (-53506) = -35503/53506", "Subtract: 471 - (-35503/53506) = 25236829/53506"], "final_answer": "25236829/53506", "answer_type": "rational", "kind": "expression", "math_text": "-1957 - (-2428) - 35503 / (-53506)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1957, \"b\": -2428, \"c\": 35503, \"d\": -53506}", "seed": "6820004800919467213", "semantic_fingerprint": "sha256:89e46545eee10b5cc6529afd05fbae67f87c5938bfd1f364ff43d4c53a577b41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000449", "prompt": "Find x: -19(x + 38839) = 18(x + 54618)", "solution_steps": ["Expand: -19x - 737941 = 18(x + 54618)", "Expand: -19x - 737941 = 18x + 983124", "Subtract 18x from both sides: -37x - 737941 = 983124", "Add 737941 to both sides: -37x = 1721065", "Divide both sides by -37: x = -1721065/37"], "final_answer": "-1721065/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 38839) = 18(x + 54618)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 38839, \"c\": 18, \"d\": 54618}", "seed": "15146691891272351153", "semantic_fingerprint": "sha256:dea6e31540683385a38eda21b662b409d43d49ce6b196134a3b84d5d572d1bc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000450", "prompt": "Compute: -23727 - 63786", "solution_steps": ["Subtract: -23727 - 63786 = -87513"], "final_answer": "-87513", "answer_type": "integer", "kind": "expression", "math_text": "-23727 - 63786", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23727, \"b\": 63786}", "seed": "4693001761545069633", "semantic_fingerprint": "sha256:3e850a9d060636052986d3517c8a744eb631787696521a49770f551ece1eda1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000451", "prompt": "Evaluate: -68670 * (-7785 * (-1829)) / 5150 + (-4080) * 65311", "solution_steps": ["Multiply: -7785 * (-1829) = 14238765", "Multiply: -68670 * 14238765 = -977775992550", "Divide: -977775992550 / 5150 = -19555519851/103", "Multiply: -4080 * 65311 = -266468880", "Add: -19555519851/103 + (-266468880) = -47001814491/103"], "final_answer": "-47001814491/103", "answer_type": "rational", "kind": "expression", "math_text": "-68670 * (-7785 * (-1829)) / 5150 + (-4080) * 65311", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n (* n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -68670, \"b\": -7785, \"c\": -1829, \"d\": 5150, \"e\": -4080, \"f\": 65311}", "seed": "18305789147397266984", "semantic_fingerprint": "sha256:122ebfeb0ae329dc2ac31afc4ae191209e4d114e04994c58dd8de33c39bc401c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000452", "prompt": "Calculate: 6288 - (-8986) / (-24517)", "solution_steps": ["Divide: -8986 / (-24517) = 8986/24517", "Subtract: 6288 - 8986/24517 = 154153910/24517"], "final_answer": "154153910/24517", "answer_type": "rational", "kind": "expression", "math_text": "6288 - (-8986) / (-24517)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6288, \"b\": -8986, \"c\": -24517}", "seed": "3772158464906413440", "semantic_fingerprint": "sha256:42d9e3b2884f841225fa1b8cb10e6c181c84ea4a650556e645a82d649e841d4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000453", "prompt": "What value of x satisfies 34(x - 88495) = -32(x - 93223)?", "solution_steps": ["Expand: 34x - 3008830 = -32(x - 93223)", "Expand: 34x - 3008830 = -32x + 2983136", "Add 32x to both sides: 66x - 3008830 = 2983136", "Add 3008830 to both sides: 66x = 5991966", "Divide both sides by 66: x = 998661/11"], "final_answer": "998661/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 88495) = -32(x - 93223)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 88495, \"c\": -32, \"d\": 93223}", "seed": "14666432179429215668", "semantic_fingerprint": "sha256:6aaf2fcc4b9802f81cf7152ec0f7541c8ffab4c95477116e596c0542b6d57d93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000454", "prompt": "What is 2271 * (9490 + (-1024))?", "solution_steps": ["Add: 9490 + (-1024) = 8466", "Multiply: 2271 * 8466 = 19226286"], "final_answer": "19226286", "answer_type": "integer", "kind": "expression", "math_text": "2271 * (9490 + (-1024))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2271, \"b\": 9490, \"c\": -1024}", "seed": "4604803389298668072", "semantic_fingerprint": "sha256:d3075cddc2bb0eb545440899aaf0e1a23991879d864cee31db257e455f245ce4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000455", "prompt": "Solve the equation 19x = 31(x + 9084) for x.", "solution_steps": ["Expand: 19x = 31x + 281604", "Subtract 31x from both sides: -12x = 281604", "Divide both sides by -12: x = -23467"], "final_answer": "-23467", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = 31(x + 9084)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 31, \"c\": 9084}", "seed": "3627034955480024309", "semantic_fingerprint": "sha256:8aa4bfe36fffd8e719ea2afddf5df696a969fb145270d463f81ce3f401e6bea5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000456", "prompt": "Evaluate: -1778 / (-4163)", "solution_steps": ["Divide: -1778 / (-4163) = 1778/4163"], "final_answer": "1778/4163", "answer_type": "rational", "kind": "expression", "math_text": "-1778 / (-4163)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1778, \"b\": -4163}", "seed": "1336800725640040499", "semantic_fingerprint": "sha256:5c64abf57942c4ca38ab770d22f41476dcae8fbaaa3d9ab72a5b3d75142e3812", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000457", "prompt": "Solve for x: 30(x + 60235) + 2318 = -35(x - 12087)", "solution_steps": ["Expand: 30x + 1807050 + 2318 = -35(x - 12087)", "Expand: 30x + 1807050 + 2318 = -35x + 423045", "Combine constants: 30x + 1809368 = -35x + 423045", "Add 35x to both sides: 65x + 1809368 = 423045", "Subtract 1809368 from both sides: 65x = -1386323", "Divide both sides by 65: x = -1386323/65"], "final_answer": "-1386323/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 60235) + 2318 = -35(x - 12087)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 60235, \"c\": 2318, \"d\": -35, \"e\": 12087}", "seed": "8672288542419258739", "semantic_fingerprint": "sha256:0094be53339b7ca914f4cc9ac70bf4ece38a4caeddacafdcac54661940df5d01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000458", "prompt": "What value of x satisfies 18(x - 5533) = -25(x - 9047)?", "solution_steps": ["Expand: 18x - 99594 = -25(x - 9047)", "Expand: 18x - 99594 = -25x + 226175", "Add 25x to both sides: 43x - 99594 = 226175", "Add 99594 to both sides: 43x = 325769", "Divide both sides by 43: x = 325769/43"], "final_answer": "325769/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x - 5533) = -25(x - 9047)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 5533, \"c\": -25, \"d\": 9047}", "seed": "11051988628656108757", "semantic_fingerprint": "sha256:ffcadcaa94b2a0f22afa8dd22a7c089056166d07350e6f1604fd886de109fe75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000459", "prompt": "What is -8140 / (-60959 + (-3316 + (-2476)))?", "solution_steps": ["Add: -3316 + (-2476) = -5792", "Add: -60959 + (-5792) = -66751", "Divide: -8140 / (-66751) = 8140/66751"], "final_answer": "8140/66751", "answer_type": "rational", "kind": "expression", "math_text": "-8140 / (-60959 + (-3316 + (-2476)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8140, \"b\": -60959, \"c\": -3316, \"d\": -2476}", "seed": "1259765041108271478", "semantic_fingerprint": "sha256:ae3c23e6a226b5b254cc86a540537d3aac96949cd3005b2093c07b814eb4dcd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000460", "prompt": "Solve for x: x + 84412 = 23x - 8004", "solution_steps": ["Subtract 23x from both sides: -22x + 84412 = -8004", "Subtract 84412 from both sides: -22x = -92416", "Divide both sides by -22: x = 46208/11"], "final_answer": "46208/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 84412 = 23x - 8004", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84412, \"b\": 23, \"c\": 8004}", "seed": "2791449371236303027", "semantic_fingerprint": "sha256:706437e88f79830fe4d9a24b8b5424329fc72b681ffed1a37a12184f12ff4bb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000461", "prompt": "Compute: 50397 + 6556 + 6469", "solution_steps": ["Add: 50397 + 6556 = 56953", "Add: 56953 + 6469 = 63422"], "final_answer": "63422", "answer_type": "integer", "kind": "expression", "math_text": "50397 + 6556 + 6469", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50397, \"b\": 6556, \"c\": 6469}", "seed": "3926046011252041888", "semantic_fingerprint": "sha256:350ebcd8b3649d734d616164ff9b60cd868b93efd4830cfc4b9a6ce5e5a9c79b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000462", "prompt": "Evaluate: 57720 + (88464 - (-5859) + (-8087))", "solution_steps": ["Subtract: 88464 - (-5859) = 94323", "Add: 94323 + (-8087) = 86236", "Add: 57720 + 86236 = 143956"], "final_answer": "143956", "answer_type": "integer", "kind": "expression", "math_text": "57720 + (88464 - (-5859) + (-8087))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 57720, \"b\": 88464, \"c\": -5859, \"d\": -8087}", "seed": "4845626737026606021", "semantic_fingerprint": "sha256:ce282835813e1a0a9c39340f6f53b6e52848a9a08c808c777c6460b064fdcfc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000463", "prompt": "What is (3530 - 24618) * 99186?", "solution_steps": ["Subtract: 3530 - 24618 = -21088", "Multiply: -21088 * 99186 = -2091634368"], "final_answer": "-2091634368", "answer_type": "integer", "kind": "expression", "math_text": "(3530 - 24618) * 99186", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3530, \"b\": 24618, \"c\": 99186}", "seed": "16336179732194591659", "semantic_fingerprint": "sha256:0ed520869adde3e573b8d2e94f65ab1b14444f5a5e9ea6247a3da55fa79bfa28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000464", "prompt": "What value of x satisfies 19(x + 7389) - 2601 = 13(x - 98312) + 64907?", "solution_steps": ["Expand: 19x + 140391 - 2601 = 13(x - 98312) + 64907", "Expand: 19x + 140391 - 2601 = 13x - 1278056 + 64907", "Combine constants: 19x + 137790 = 13x - 1278056 + 64907", "Combine constants: 19x + 137790 = 13x - 1213149", "Subtract 13x from both sides: 6x + 137790 = -1213149", "Subtract 137790 from both sides: 6x = -1350939", "Divide both sides by 6: x = -450313/2"], "final_answer": "-450313/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 7389) - 2601 = 13(x - 98312) + 64907", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7389, \"c\": 2601, \"d\": 13, \"e\": 98312, \"f\": 64907}", "seed": "1480155130276159725", "semantic_fingerprint": "sha256:4b336d27edb73b972b2989c8a12d0238478416e7a09b4287976ff516eaec59ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000465", "prompt": "Compute: -9267 - 4730 * (-8002)", "solution_steps": ["Multiply: 4730 * (-8002) = -37849460", "Subtract: -9267 - (-37849460) = 37840193"], "final_answer": "37840193", "answer_type": "integer", "kind": "expression", "math_text": "-9267 - 4730 * (-8002)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9267, \"b\": 4730, \"c\": -8002}", "seed": "6033048853616583374", "semantic_fingerprint": "sha256:8d464cc6b9a6670326b21bb1e15a5f33ec01ba69c8c568a2fd8fd5e158999515", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000466", "prompt": "Compute: -63313 + (38942 + 8619)", "solution_steps": ["Add: 38942 + 8619 = 47561", "Add: -63313 + 47561 = -15752"], "final_answer": "-15752", "answer_type": "integer", "kind": "expression", "math_text": "-63313 + (38942 + 8619)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63313, \"b\": 38942, \"c\": 8619}", "seed": "16756719463702637816", "semantic_fingerprint": "sha256:58f6673018ac7909072167d6a5b2db8d049e938f1fca0fe7995be00ca46e9250", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000467", "prompt": "What value of x satisfies x = 26(x + 33587)?", "solution_steps": ["Expand: x = 26x + 873262", "Subtract 26x from both sides: -25x = 873262", "Divide both sides by -25: x = -873262/25"], "final_answer": "-873262/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 26(x + 33587)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 33587}", "seed": "904341664622568490", "semantic_fingerprint": "sha256:52d7b89dc85c36be4bbd1ff3c215256fa73a1615c099914fa3337bdb3a62019e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000468", "prompt": "What is -9283 - (-92388 + (-2380 + 47200) + (-47671))?", "solution_steps": ["Add: -2380 + 47200 = 44820", "Add: -92388 + 44820 = -47568", "Add: -47568 + (-47671) = -95239", "Subtract: -9283 - (-95239) = 85956"], "final_answer": "85956", "answer_type": "integer", "kind": "expression", "math_text": "-9283 - (-92388 + (-2380 + 47200) + (-47671))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9283, \"b\": -92388, \"c\": -2380, \"d\": 47200, \"e\": -47671}", "seed": "12121702018480547779", "semantic_fingerprint": "sha256:a28cd9795b91dcc67b7ba4e55aeb824ddf35e8ce3912e0180479bcfa79f7bbba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000469", "prompt": "Compute: -3852 - 3938 + (8593 - 8470)", "solution_steps": ["Subtract: -3852 - 3938 = -7790", "Subtract: 8593 - 8470 = 123", "Add: -7790 + 123 = -7667"], "final_answer": "-7667", "answer_type": "integer", "kind": "expression", "math_text": "-3852 - 3938 + (8593 - 8470)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3852, \"b\": 3938, \"c\": 8593, \"d\": 8470}", "seed": "567457151679013109", "semantic_fingerprint": "sha256:f3b9bdcec4aed3087858129eff8e874e5d049cac25aa48272aa7a046896cca4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000470", "prompt": "Compute: 78269 * (-6405 + (-2644))", "solution_steps": ["Add: -6405 + (-2644) = -9049", "Multiply: 78269 * (-9049) = -708256181"], "final_answer": "-708256181", "answer_type": "integer", "kind": "expression", "math_text": "78269 * (-6405 + (-2644))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78269, \"b\": -6405, \"c\": -2644}", "seed": "1439343706939666906", "semantic_fingerprint": "sha256:7328bdbf5d03f8e9f84489c6e6c7e30fa7512812897d039ebab1c3f4575c6347", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000471", "prompt": "Solve the equation -17(x + 84111) = -39x + 73408 for x.", "solution_steps": ["Expand: -17x - 1429887 = -39x + 73408", "Add 39x to both sides: 22x - 1429887 = 73408", "Add 1429887 to both sides: 22x = 1503295", "Divide both sides by 22: x = 1503295/22"], "final_answer": "1503295/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 84111) = -39x + 73408", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 84111, \"c\": -39, \"d\": 73408}", "seed": "14579457127550160938", "semantic_fingerprint": "sha256:288f5cfdb877cf2bf8e8a87bcde6121fd2e747eae41bc78a3800688de6b2c328", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000472", "prompt": "Compute: -13263 * (-6032)", "solution_steps": ["Multiply: -13263 * (-6032) = 80002416"], "final_answer": "80002416", "answer_type": "integer", "kind": "expression", "math_text": "-13263 * (-6032)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -13263, \"b\": -6032}", "seed": "12467096857985333474", "semantic_fingerprint": "sha256:bea036aa49a3091c950c69d72f48af12705fcebd3f7ea1880567dfcd0922ddd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000473", "prompt": "Calculate: 9099 + 76452 - (-7585) * 3622", "solution_steps": ["Add: 9099 + 76452 = 85551", "Multiply: -7585 * 3622 = -27472870", "Subtract: 85551 - (-27472870) = 27558421"], "final_answer": "27558421", "answer_type": "integer", "kind": "expression", "math_text": "9099 + 76452 - (-7585) * 3622", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9099, \"b\": 76452, \"c\": -7585, \"d\": 3622}", "seed": "6288371056536571372", "semantic_fingerprint": "sha256:6e50ee7b11076da8349827435a390174c937d4c473426849308ce1ea4da4d854", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000474", "prompt": "What value of x satisfies 27(x - 1234) - 6435 = x?", "solution_steps": ["Expand: 27x - 33318 - 6435 = x", "Combine constants: 27x - 39753 = x", "Subtract x from both sides: 26x - 39753 = 0", "Add 39753 to both sides: 26x = 39753", "Divide both sides by 26: x = 39753/26"], "final_answer": "39753/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 1234) - 6435 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1234, \"c\": 6435}", "seed": "14488746638645977699", "semantic_fingerprint": "sha256:280b85c6505248e9a245ae7698c225550dd8745c9cf1a4d55af79f933413f13e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000475", "prompt": "Compute: 6727 * (-2086) / (-4745)", "solution_steps": ["Multiply: 6727 * (-2086) = -14032522", "Divide: -14032522 / (-4745) = 14032522/4745"], "final_answer": "14032522/4745", "answer_type": "rational", "kind": "expression", "math_text": "6727 * (-2086) / (-4745)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6727, \"b\": -2086, \"c\": -4745}", "seed": "13626849750876437705", "semantic_fingerprint": "sha256:6566417b5954de1c049c91506c91543deb5d9e17e36a5f6c620d95abf896dd10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000476", "prompt": "Find x: 22(x + 24907) - 2405 = 16(x - 86909) + 3118", "solution_steps": ["Expand: 22x + 547954 - 2405 = 16(x - 86909) + 3118", "Expand: 22x + 547954 - 2405 = 16x - 1390544 + 3118", "Combine constants: 22x + 545549 = 16x - 1390544 + 3118", "Combine constants: 22x + 545549 = 16x - 1387426", "Subtract 16x from both sides: 6x + 545549 = -1387426", "Subtract 545549 from both sides: 6x = -1932975", "Divide both sides by 6: x = -644325/2"], "final_answer": "-644325/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 24907) - 2405 = 16(x - 86909) + 3118", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 24907, \"c\": 2405, \"d\": 16, \"e\": 86909, \"f\": 3118}", "seed": "17008904471009667534", "semantic_fingerprint": "sha256:2f3e6e682133ff9ced09ded7a48f4facc500f9eaac529d7dad0c0bdac2303087", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000477", "prompt": "What is -69949 / (-9347 / (-5393))?", "solution_steps": ["Divide: -9347 / (-5393) = 9347/5393", "Divide: -69949 / (9347/5393) = -377234957/9347"], "final_answer": "-377234957/9347", "answer_type": "rational", "kind": "expression", "math_text": "-69949 / (-9347 / (-5393))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69949, \"b\": -9347, \"c\": -5393}", "seed": "5214241022172963769", "semantic_fingerprint": "sha256:e3393cb28b555bdfc53d5b2b40f463ab85edcc66cabc44e799974e0a1b4fa804", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000478", "prompt": "Compute: 78143 * (2433 * (-4603 + 2264))", "solution_steps": ["Add: -4603 + 2264 = -2339", "Multiply: 2433 * (-2339) = -5690787", "Multiply: 78143 * (-5690787) = -444695168541"], "final_answer": "-444695168541", "answer_type": "integer", "kind": "expression", "math_text": "78143 * (2433 * (-4603 + 2264))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78143, \"b\": 2433, \"c\": -4603, \"d\": 2264}", "seed": "10060622435646519814", "semantic_fingerprint": "sha256:505c76eda6438dd9ba6991868d122ec9a127c7c91acf9583cf349703f6ad74b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000479", "prompt": "Solve for x: 24x + 56385 = x + 60019", "solution_steps": ["Subtract x from both sides: 23x + 56385 = 60019", "Subtract 56385 from both sides: 23x = 3634", "Divide both sides by 23: x = 158"], "final_answer": "158", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 56385 = x + 60019", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 56385, \"d\": 60019, \"x\": 158}", "seed": "10232464324194074677", "semantic_fingerprint": "sha256:d7b86341b09599a30c1b8e64c6b2c380effbe9a92d02493a42c841a14d1011d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000480", "prompt": "Compute: (-7111 - (-43357)) / 1085", "solution_steps": ["Subtract: -7111 - (-43357) = 36246", "Divide: 36246 / 1085 = 5178/155"], "final_answer": "5178/155", "answer_type": "rational", "kind": "expression", "math_text": "(-7111 - (-43357)) / 1085", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7111, \"b\": -43357, \"c\": 1085}", "seed": "9814410944647381939", "semantic_fingerprint": "sha256:c218aecb65e345022dc66d187247e4a35957925681c6c0f89b799d96d63c19da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000481", "prompt": "What is -81026 + (-26542) - (-9355)?", "solution_steps": ["Add: -81026 + (-26542) = -107568", "Subtract: -107568 - (-9355) = -98213"], "final_answer": "-98213", "answer_type": "integer", "kind": "expression", "math_text": "-81026 + (-26542) - (-9355)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81026, \"b\": -26542, \"c\": -9355}", "seed": "13217847518243012195", "semantic_fingerprint": "sha256:05875a7ae3e45fe25eb1a350b564c5d654bd9aa4414540e088ac34f318f663fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000482", "prompt": "What value of x satisfies 40x - 7380 = -20x?", "solution_steps": ["Add 20x to both sides: 60x - 7380 = 0", "Add 7380 to both sides: 60x = 7380", "Divide both sides by 60: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 7380 = -20x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": -20, \"d\": -7380, \"x\": 123}", "seed": "14185080969466041270", "semantic_fingerprint": "sha256:6b00347703cf561e9e8299bade2eb5c42e5465d17a0988993a7deda39e5c532a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000483", "prompt": "Calculate: 39975 - (-70407)", "solution_steps": ["Subtract: 39975 - (-70407) = 110382"], "final_answer": "110382", "answer_type": "integer", "kind": "expression", "math_text": "39975 - (-70407)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 39975, \"b\": -70407}", "seed": "12666314205690844889", "semantic_fingerprint": "sha256:98abb13a368f5bc84013018a80b07c200d501ef6f2ffe8e5bccc3243a293935d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000484", "prompt": "Calculate: (2486 - 42399) * 9795", "solution_steps": ["Subtract: 2486 - 42399 = -39913", "Multiply: -39913 * 9795 = -390947835"], "final_answer": "-390947835", "answer_type": "integer", "kind": "expression", "math_text": "(2486 - 42399) * 9795", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2486, \"b\": 42399, \"c\": 9795}", "seed": "3236688877613147990", "semantic_fingerprint": "sha256:106339feafae0707a10822a4a6c4b554ceb7fe9205543e4e18f82d943dea5853", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000485", "prompt": "What is 3955 + (-5227) * (-25822)?", "solution_steps": ["Multiply: -5227 * (-25822) = 134971594", "Add: 3955 + 134971594 = 134975549"], "final_answer": "134975549", "answer_type": "integer", "kind": "expression", "math_text": "3955 + (-5227) * (-25822)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3955, \"b\": -5227, \"c\": -25822}", "seed": "17247210265189007754", "semantic_fingerprint": "sha256:d5920aa786e8e890b0caab3f345dcf771468b4ec84a2cde5fdf9a71790b1e279", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000486", "prompt": "Evaluate: 1091 * (-1017) - (59945 - 5139)", "solution_steps": ["Multiply: 1091 * (-1017) = -1109547", "Subtract: 59945 - 5139 = 54806", "Subtract: -1109547 - 54806 = -1164353"], "final_answer": "-1164353", "answer_type": "integer", "kind": "expression", "math_text": "1091 * (-1017) - (59945 - 5139)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1091, \"b\": -1017, \"c\": 59945, \"d\": 5139}", "seed": "11087874492558208784", "semantic_fingerprint": "sha256:9ada619eb2243f1c15d9f5a0c5b4d18ab0d71e44729b149b4bca37101cc273b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000487", "prompt": "Evaluate: -7065 / (-6847 - (-5114))", "solution_steps": ["Subtract: -6847 - (-5114) = -1733", "Divide: -7065 / (-1733) = 7065/1733"], "final_answer": "7065/1733", "answer_type": "rational", "kind": "expression", "math_text": "-7065 / (-6847 - (-5114))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7065, \"b\": -6847, \"c\": -5114}", "seed": "9177322409331822882", "semantic_fingerprint": "sha256:44e643bcc8b48ccce19a249beecba2a615541978dec12d05e7d350bb17206b45", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000488", "prompt": "Compute: -47401 * (4095 * (-1450) + 1120)", "solution_steps": ["Multiply: 4095 * (-1450) = -5937750", "Add: -5937750 + 1120 = -5936630", "Multiply: -47401 * (-5936630) = 281402198630"], "final_answer": "281402198630", "answer_type": "integer", "kind": "expression", "math_text": "-47401 * (4095 * (-1450) + 1120)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -47401, \"b\": 4095, \"c\": -1450, \"d\": 1120}", "seed": "8797770273223718218", "semantic_fingerprint": "sha256:237d6988de12a7b893f0829229ad772042a34e33f46360ef96518919f55331f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000489", "prompt": "Compute: 36228 - 9505 - 5660 + (-3184)", "solution_steps": ["Subtract: 36228 - 9505 = 26723", "Subtract: 26723 - 5660 = 21063", "Add: 21063 + (-3184) = 17879"], "final_answer": "17879", "answer_type": "integer", "kind": "expression", "math_text": "36228 - 9505 - 5660 + (-3184)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36228, \"b\": 9505, \"c\": 5660, \"d\": -3184}", "seed": "6928241732342531203", "semantic_fingerprint": "sha256:9ec228185702fc3b261d793e880f46d759563865bc34c680aa74cde91c2ee081", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000490", "prompt": "What value of x satisfies x + 9902 = 13(x + 7530)?", "solution_steps": ["Expand: x + 9902 = 13x + 97890", "Subtract 13x from both sides: -12x + 9902 = 97890", "Subtract 9902 from both sides: -12x = 87988", "Divide both sides by -12: x = -21997/3"], "final_answer": "-21997/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9902 = 13(x + 7530)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9902, \"b\": 13, \"c\": 7530}", "seed": "15547000167008886499", "semantic_fingerprint": "sha256:84f10f62b2b22e179ce13b26f88a47f531ecf197810a11a5d09c882b3d31e6c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000491", "prompt": "Compute: 5678 - (-75442) - (-24667) / (-9983)", "solution_steps": ["Subtract: 5678 - (-75442) = 81120", "Divide: -24667 / (-9983) = 24667/9983", "Subtract: 81120 - 24667/9983 = 809796293/9983"], "final_answer": "809796293/9983", "answer_type": "rational", "kind": "expression", "math_text": "5678 - (-75442) - (-24667) / (-9983)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5678, \"b\": -75442, \"c\": -24667, \"d\": -9983}", "seed": "3495914644809227227", "semantic_fingerprint": "sha256:bfd52182449b921db0dfd0e4a66644cb9369b1e09d7ac6e1e68261c9d3a897e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000492", "prompt": "What is (-28546 + (-3903)) * ((43825 - 23245) / (-1394))?", "solution_steps": ["Add: -28546 + (-3903) = -32449", "Subtract: 43825 - 23245 = 20580", "Divide: 20580 / (-1394) = -10290/697", "Multiply: -32449 * (-10290/697) = 333900210/697"], "final_answer": "333900210/697", "answer_type": "rational", "kind": "expression", "math_text": "(-28546 + (-3903)) * ((43825 - 23245) / (-1394))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28546, \"b\": -3903, \"c\": 43825, \"d\": 23245, \"e\": -1394}", "seed": "17543151192863336030", "semantic_fingerprint": "sha256:d9f356964879974facc17fa0ca65ef3bf6012209aa943c2e852e1f5732a1b3c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000493", "prompt": "What is 3045 / (-1016) - 33855?", "solution_steps": ["Divide: 3045 / (-1016) = -3045/1016", "Subtract: -3045/1016 - 33855 = -34399725/1016"], "final_answer": "-34399725/1016", "answer_type": "rational", "kind": "expression", "math_text": "3045 / (-1016) - 33855", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3045, \"b\": -1016, \"c\": 33855}", "seed": "11294639255645931723", "semantic_fingerprint": "sha256:f023f0af8c81d8a5c3697d5826fa257f5a6254b98c1a333ace451a4d0f6b817a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000494", "prompt": "What is -9886 * (-4969 + (8226 / (-1450) + (-2061))) - 1091?", "solution_steps": ["Divide: 8226 / (-1450) = -4113/725", "Add: -4113/725 + (-2061) = -1498338/725", "Add: -4969 + (-1498338/725) = -5100863/725", "Multiply: -9886 * (-5100863/725) = 50427131618/725", "Subtract: 50427131618/725 - 1091 = 50426340643/725"], "final_answer": "50426340643/725", "answer_type": "rational", "kind": "expression", "math_text": "-9886 * (-4969 + (8226 / (-1450) + (-2061))) - 1091", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n (+ (/ n n) n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9886, \"b\": -4969, \"c\": 8226, \"d\": -1450, \"e\": -2061, \"f\": 1091}", "seed": "15690053964889541603", "semantic_fingerprint": "sha256:48156f6f328b739a6a4e78360bd446221c2a0378d44e7e6425c5ac996023a7b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000495", "prompt": "What is -9591 / 57604 - 42401?", "solution_steps": ["Divide: -9591 / 57604 = -9591/57604", "Subtract: -9591/57604 - 42401 = -2442476795/57604"], "final_answer": "-2442476795/57604", "answer_type": "rational", "kind": "expression", "math_text": "-9591 / 57604 - 42401", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9591, \"b\": 57604, \"c\": 42401}", "seed": "6526478552598308886", "semantic_fingerprint": "sha256:9db47ff4f8fcd92c230e944206a537c38b1a7558b881a220a327fd09863623b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000496", "prompt": "Compute: -4658 + (-34323) + (-5923 - (-7444 + (-1771)) * 14682)", "solution_steps": ["Add: -4658 + (-34323) = -38981", "Add: -7444 + (-1771) = -9215", "Multiply: -9215 * 14682 = -135294630", "Subtract: -5923 - (-135294630) = 135288707", "Add: -38981 + 135288707 = 135249726"], "final_answer": "135249726", "answer_type": "integer", "kind": "expression", "math_text": "-4658 + (-34323) + (-5923 - (-7444 + (-1771)) * 14682)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (* (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4658, \"b\": -34323, \"c\": -5923, \"d\": -7444, \"e\": -1771, \"f\": 14682}", "seed": "3025512074876059662", "semantic_fingerprint": "sha256:748b9c50373a0e4562405fbe29c936eb41f1e9cb3ae4ffdd15a1cfbbed2e4b4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000497", "prompt": "Evaluate: (-85712 + (-30742)) / (8407 - (-97674))", "solution_steps": ["Add: -85712 + (-30742) = -116454", "Subtract: 8407 - (-97674) = 106081", "Divide: -116454 / 106081 = -116454/106081"], "final_answer": "-116454/106081", "answer_type": "rational", "kind": "expression", "math_text": "(-85712 + (-30742)) / (8407 - (-97674))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -85712, \"b\": -30742, \"c\": 8407, \"d\": -97674}", "seed": "6517600464097199375", "semantic_fingerprint": "sha256:734de58ff5da894ebf5b1d93236e835613a1acc9d42d0b9192d5f8c50fd31b8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000498", "prompt": "What is -8997 + (-83795) + (-27921)?", "solution_steps": ["Add: -8997 + (-83795) = -92792", "Add: -92792 + (-27921) = -120713"], "final_answer": "-120713", "answer_type": "integer", "kind": "expression", "math_text": "-8997 + (-83795) + (-27921)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8997, \"b\": -83795, \"c\": -27921}", "seed": "9756740065332739426", "semantic_fingerprint": "sha256:e96f6ae441e190941b3b30b614475ea57262b0b4db5c9cc521c6f53b3d22d2c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000499", "prompt": "Compute: -6839 / (-3852 + (-34687))", "solution_steps": ["Add: -3852 + (-34687) = -38539", "Divide: -6839 / (-38539) = 6839/38539"], "final_answer": "6839/38539", "answer_type": "rational", "kind": "expression", "math_text": "-6839 / (-3852 + (-34687))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6839, \"b\": -3852, \"c\": -34687}", "seed": "14521022300721766190", "semantic_fingerprint": "sha256:4528b6532853be898abd742f0505bd724e8450f48c4bc98a684cb30b02dc5005", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000500", "prompt": "Find x: 20(x + 8803) = x", "solution_steps": ["Expand: 20x + 176060 = x", "Subtract x from both sides: 19x + 176060 = 0", "Subtract 176060 from both sides: 19x = -176060", "Divide both sides by 19: x = -176060/19"], "final_answer": "-176060/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 8803) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 8803}", "seed": "16281154768347882518", "semantic_fingerprint": "sha256:c5d81e592795b0d9a411a351eb10fcdca28885e5cca34e9f7fb94b6c354e237f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000501", "prompt": "Evaluate: (-31270 * 50109 - (-1434)) / 6872", "solution_steps": ["Multiply: -31270 * 50109 = -1566908430", "Subtract: -1566908430 - (-1434) = -1566906996", "Divide: -1566906996 / 6872 = -391726749/1718"], "final_answer": "-391726749/1718", "answer_type": "rational", "kind": "expression", "math_text": "(-31270 * 50109 - (-1434)) / 6872", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31270, \"b\": 50109, \"c\": -1434, \"d\": 6872}", "seed": "4581228277889328022", "semantic_fingerprint": "sha256:cc2397035bf99cd24be05b5a05acc6e7ec452377f7d0f3136a839ed621e81b24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000502", "prompt": "Solve the equation 16(x - 3393) + 6949 = -19x - 49474 for x.", "solution_steps": ["Expand: 16x - 54288 + 6949 = -19x - 49474", "Combine constants: 16x - 47339 = -19x - 49474", "Add 19x to both sides: 35x - 47339 = -49474", "Add 47339 to both sides: 35x = -2135", "Divide both sides by 35: x = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 3393) + 6949 = -19x - 49474", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3393, \"c\": 6949, \"d\": -19, \"f\": -49474, \"x\": -61}", "seed": "18057794687314993", "semantic_fingerprint": "sha256:49aba537d0ea5548aa1e1d56629c16789f9f8beccbaea6e4a481780d8a84dc93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000503", "prompt": "Evaluate: -6042 - (-1725 - (-88362) * 8068) - 1848", "solution_steps": ["Multiply: -88362 * 8068 = -712904616", "Subtract: -1725 - (-712904616) = 712902891", "Subtract: -6042 - 712902891 = -712908933", "Subtract: -712908933 - 1848 = -712910781"], "final_answer": "-712910781", "answer_type": "integer", "kind": "expression", "math_text": "-6042 - (-1725 - (-88362) * 8068) - 1848", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6042, \"b\": -1725, \"c\": -88362, \"d\": 8068, \"e\": 1848}", "seed": "2101698071055776011", "semantic_fingerprint": "sha256:dfe3c905dbf25ae608bfee5d471428bfeb03470dcc14c26f117367ac0967a3a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000504", "prompt": "Evaluate: -52138 * (-79051) + (-8169 * (-5969) - 11840)", "solution_steps": ["Multiply: -52138 * (-79051) = 4121561038", "Multiply: -8169 * (-5969) = 48760761", "Subtract: 48760761 - 11840 = 48748921", "Add: 4121561038 + 48748921 = 4170309959"], "final_answer": "4170309959", "answer_type": "integer", "kind": "expression", "math_text": "-52138 * (-79051) + (-8169 * (-5969) - 11840)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -52138, \"b\": -79051, \"c\": -8169, \"d\": -5969, \"e\": 11840}", "seed": "9073404781450388859", "semantic_fingerprint": "sha256:d28639e5737ca5ed5761c31de951ae647c1e817574dcf40f4cbbd360aac59fc0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000505", "prompt": "Calculate: -62000 / 58657", "solution_steps": ["Divide: -62000 / 58657 = -62000/58657"], "final_answer": "-62000/58657", "answer_type": "rational", "kind": "expression", "math_text": "-62000 / 58657", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62000, \"b\": 58657}", "seed": "12805011934487206195", "semantic_fingerprint": "sha256:89b0cec3f872aa02ef5f3262d2798c292455f83e9d0d686fa98c8824b871cf8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000506", "prompt": "Evaluate: 7187 / (-95085) + 19113", "solution_steps": ["Divide: 7187 / (-95085) = -7187/95085", "Add: -7187/95085 + 19113 = 1817352418/95085"], "final_answer": "1817352418/95085", "answer_type": "rational", "kind": "expression", "math_text": "7187 / (-95085) + 19113", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7187, \"b\": -95085, \"c\": 19113}", "seed": "12319801319324574902", "semantic_fingerprint": "sha256:969e1b94a7e97fe0057cd8d9d9cac2f5bb8a52f3a8bacf1cb465b299cb14406c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000507", "prompt": "Compute: 5148 * (-6838)", "solution_steps": ["Multiply: 5148 * (-6838) = -35202024"], "final_answer": "-35202024", "answer_type": "integer", "kind": "expression", "math_text": "5148 * (-6838)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5148, \"b\": -6838}", "seed": "16071609517798571210", "semantic_fingerprint": "sha256:4dd95250c4a9ae6d5589e7bc8cba9ded54a17c51550d9298384acadc681d764d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000508", "prompt": "Calculate: 4104 * 9886 * (-8619)", "solution_steps": ["Multiply: 4104 * 9886 = 40572144", "Multiply: 40572144 * (-8619) = -349691309136"], "final_answer": "-349691309136", "answer_type": "integer", "kind": "expression", "math_text": "4104 * 9886 * (-8619)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4104, \"b\": 9886, \"c\": -8619}", "seed": "6952224926631458372", "semantic_fingerprint": "sha256:0240b56e54aa8f43fe8c6724fd0dfde6a15652757d5549e45fc747e890b7a38c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000509", "prompt": "Compute: -5578 + (-6383) / 1299", "solution_steps": ["Divide: -6383 / 1299 = -6383/1299", "Add: -5578 + (-6383/1299) = -7252205/1299"], "final_answer": "-7252205/1299", "answer_type": "rational", "kind": "expression", "math_text": "-5578 + (-6383) / 1299", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5578, \"b\": -6383, \"c\": 1299}", "seed": "5356665967548701870", "semantic_fingerprint": "sha256:fbf92824c294e764bceb89e241a281c8952b962f6f641cd38b2974853e1487a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000510", "prompt": "Solve the equation 39(x + 1214) = x + 49056 for x.", "solution_steps": ["Expand: 39x + 47346 = x + 49056", "Subtract x from both sides: 38x + 47346 = 49056", "Subtract 47346 from both sides: 38x = 1710", "Divide both sides by 38: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x + 1214) = x + 49056", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 1214, \"d\": 49056, \"x\": 45}", "seed": "3240993829467757971", "semantic_fingerprint": "sha256:f4ec35f4fdc52279009acd44d943b6b1a4cfdf7d594bba63adc52624972c66c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000511", "prompt": "What is 37704 * (-6449) / (-8100)?", "solution_steps": ["Multiply: 37704 * (-6449) = -243153096", "Divide: -243153096 / (-8100) = 20262758/675"], "final_answer": "20262758/675", "answer_type": "rational", "kind": "expression", "math_text": "37704 * (-6449) / (-8100)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37704, \"b\": -6449, \"c\": -8100}", "seed": "232657573821883471", "semantic_fingerprint": "sha256:30dbbfff54696f082853bc30d3c1b6394eed4f6835238da6f5294e48bedc093a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000512", "prompt": "Solve the equation 15x = x + 1624 for x.", "solution_steps": ["Subtract x from both sides: 14x = 1624", "Divide both sides by 14: x = 116"], "final_answer": "116", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = x + 1624", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": 1624, \"x\": 116}", "seed": "6414458909838152448", "semantic_fingerprint": "sha256:5c7bbab92ce26d354c31e53666599d344c2418ab44184e6910540125a290095a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000513", "prompt": "Find x: 13(x + 4172) = 28(x - 6691) - 61297", "solution_steps": ["Expand: 13x + 54236 = 28(x - 6691) - 61297", "Expand: 13x + 54236 = 28x - 187348 - 61297", "Combine constants: 13x + 54236 = 28x - 248645", "Subtract 28x from both sides: -15x + 54236 = -248645", "Subtract 54236 from both sides: -15x = -302881", "Divide both sides by -15: x = 302881/15"], "final_answer": "302881/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 4172) = 28(x - 6691) - 61297", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4172, \"c\": 28, \"d\": 6691, \"e\": 61297}", "seed": "1636976020557897267", "semantic_fingerprint": "sha256:a962f064a1b2712ac8adcdf08b793931d82e63a51e012a3f97cff5c91f9b1694", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000514", "prompt": "What is 2196 * 4023?", "solution_steps": ["Multiply: 2196 * 4023 = 8834508"], "final_answer": "8834508", "answer_type": "integer", "kind": "expression", "math_text": "2196 * 4023", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2196, \"b\": 4023}", "seed": "17519639454737797631", "semantic_fingerprint": "sha256:a5e82569be2d551825117d9efe644b40f86e850ff2630be1966fb8cb1fd0e9a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000515", "prompt": "Calculate: 63149 - (28502 / 13513 - (-9672 + (-8464)))", "solution_steps": ["Divide: 28502 / 13513 = 28502/13513", "Add: -9672 + (-8464) = -18136", "Subtract: 28502/13513 - (-18136) = 245100270/13513", "Subtract: 63149 - 245100270/13513 = 608232167/13513"], "final_answer": "608232167/13513", "answer_type": "rational", "kind": "expression", "math_text": "63149 - (28502 / 13513 - (-9672 + (-8464)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 63149, \"b\": 28502, \"c\": 13513, \"d\": -9672, \"e\": -8464}", "seed": "16407537249195430352", "semantic_fingerprint": "sha256:b4a76a0a4f80fbfa9774fec2bc678dfe5b32dba69653ec3afd2b3fbf5442d31a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000516", "prompt": "Calculate: 8431 * (-2852) / 42408 * 6692", "solution_steps": ["Multiply: 8431 * (-2852) = -24045212", "Divide: -24045212 / 42408 = -193913/342", "Multiply: (-193913/342) * 6692 = -648832898/171"], "final_answer": "-648832898/171", "answer_type": "rational", "kind": "expression", "math_text": "8431 * (-2852) / 42408 * 6692", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8431, \"b\": -2852, \"c\": 42408, \"d\": 6692}", "seed": "3244361528424955502", "semantic_fingerprint": "sha256:8951ae031816fa64c306b6a6575fa284ff18771301c3eab8cfa3513b5a8b594c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000517", "prompt": "Calculate: (6316 + 17728) * (-2004)", "solution_steps": ["Add: 6316 + 17728 = 24044", "Multiply: 24044 * (-2004) = -48184176"], "final_answer": "-48184176", "answer_type": "integer", "kind": "expression", "math_text": "(6316 + 17728) * (-2004)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6316, \"b\": 17728, \"c\": -2004}", "seed": "17200824328581545101", "semantic_fingerprint": "sha256:6daf3606fb4b81660bb9965e1baf00aea65178f1f47921d206c911642ecc858e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000518", "prompt": "Evaluate: 5920 / (-27106 + 9936) - 2973", "solution_steps": ["Add: -27106 + 9936 = -17170", "Divide: 5920 / (-17170) = -592/1717", "Subtract: -592/1717 - 2973 = -5105233/1717"], "final_answer": "-5105233/1717", "answer_type": "rational", "kind": "expression", "math_text": "5920 / (-27106 + 9936) - 2973", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5920, \"b\": -27106, \"c\": 9936, \"d\": 2973}", "seed": "2696462962964348284", "semantic_fingerprint": "sha256:3bbd7b7a3b6aa82cb73085b336eea8844cd2d2fea9ed93bd2b1e4e9c9aad254e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000519", "prompt": "Solve the equation x + 98974 = 32(x + 3184) for x.", "solution_steps": ["Expand: x + 98974 = 32x + 101888", "Subtract 32x from both sides: -31x + 98974 = 101888", "Subtract 98974 from both sides: -31x = 2914", "Divide both sides by -31: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 98974 = 32(x + 3184)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3184, \"d\": 98974, \"x\": -94}", "seed": "14146753676026080309", "semantic_fingerprint": "sha256:3861740974c3af501407184fd82ac07a1f609e3106411b3bce7f20d099169a23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000520", "prompt": "Solve for x: x + 3954 = 77788", "solution_steps": ["Subtract 3954 from both sides: x = 73834"], "final_answer": "73834", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3954 = 77788", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3954, \"b\": 77788}", "seed": "1369112618556259413", "semantic_fingerprint": "sha256:4a7223781ecb7aa02f98852c1509f87d5a9aea1fbdc1c3b011df7cd2f9e79fe5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000521", "prompt": "Evaluate: (7754 - (-58409) - (1671 + (-2671))) * 9693", "solution_steps": ["Subtract: 7754 - (-58409) = 66163", "Add: 1671 + (-2671) = -1000", "Subtract: 66163 - (-1000) = 67163", "Multiply: 67163 * 9693 = 651010959"], "final_answer": "651010959", "answer_type": "integer", "kind": "expression", "math_text": "(7754 - (-58409) - (1671 + (-2671))) * 9693", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7754, \"b\": -58409, \"c\": 1671, \"d\": -2671, \"e\": 9693}", "seed": "15609944473868755993", "semantic_fingerprint": "sha256:f22360e498af6460f8da1c9d8fe59bf3ca57632c9cb78d715247377c169fda75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000522", "prompt": "Evaluate: -9267 * (-8128) - (-86218)", "solution_steps": ["Multiply: -9267 * (-8128) = 75322176", "Subtract: 75322176 - (-86218) = 75408394"], "final_answer": "75408394", "answer_type": "integer", "kind": "expression", "math_text": "-9267 * (-8128) - (-86218)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9267, \"b\": -8128, \"c\": -86218}", "seed": "9354560709230897871", "semantic_fingerprint": "sha256:0096a467b3ff01ac8ef1d61d9c0bf2c616fb2e772bd946bc17ba1913770fd583", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000523", "prompt": "Calculate: -2164 - 5755 + 1257", "solution_steps": ["Subtract: -2164 - 5755 = -7919", "Add: -7919 + 1257 = -6662"], "final_answer": "-6662", "answer_type": "integer", "kind": "expression", "math_text": "-2164 - 5755 + 1257", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2164, \"b\": 5755, \"c\": 1257}", "seed": "8653408831883532433", "semantic_fingerprint": "sha256:ec5d44ec1bb865101252c1dbe21e1ae823cd3656ab0c04c8fc3da586b7d1f3e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000524", "prompt": "Calculate: 12046 * (-12833 / 9528) - 8087 * (-8497)", "solution_steps": ["Divide: -12833 / 9528 = -12833/9528", "Multiply: 12046 * (-12833/9528) = -77293159/4764", "Multiply: 8087 * (-8497) = -68715239", "Subtract: -77293159/4764 - (-68715239) = 327282105437/4764"], "final_answer": "327282105437/4764", "answer_type": "rational", "kind": "expression", "math_text": "12046 * (-12833 / 9528) - 8087 * (-8497)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 12046, \"b\": -12833, \"c\": 9528, \"d\": 8087, \"e\": -8497}", "seed": "987246641830248327", "semantic_fingerprint": "sha256:3efc6f7503a349cb3ca6f28665b69a78cb33d4b74fc953f674910d91c0b2ae57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000525", "prompt": "Evaluate: -11017 / 79244", "solution_steps": ["Divide: -11017 / 79244 = -11017/79244"], "final_answer": "-11017/79244", "answer_type": "rational", "kind": "expression", "math_text": "-11017 / 79244", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11017, \"b\": 79244}", "seed": "2441145692604532042", "semantic_fingerprint": "sha256:172584dfc7cf649de688c4b2187d2669c15427342e5009a58b44a117a9c687fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000526", "prompt": "What is -38259 * (1414 - 90748) + (-7096 + (8466 + 9445))?", "solution_steps": ["Subtract: 1414 - 90748 = -89334", "Multiply: -38259 * (-89334) = 3417829506", "Add: 8466 + 9445 = 17911", "Add: -7096 + 17911 = 10815", "Add: 3417829506 + 10815 = 3417840321"], "final_answer": "3417840321", "answer_type": "integer", "kind": "expression", "math_text": "-38259 * (1414 - 90748) + (-7096 + (8466 + 9445))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38259, \"b\": 1414, \"c\": 90748, \"d\": -7096, \"e\": 8466, \"f\": 9445}", "seed": "5021930734149475416", "semantic_fingerprint": "sha256:1343e8a77b69c25942108c4853bf4d687a1eb6e2165e2489f7f99db594e9cb40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000527", "prompt": "Evaluate: 6556 * (3093 + (-6546))", "solution_steps": ["Add: 3093 + (-6546) = -3453", "Multiply: 6556 * (-3453) = -22637868"], "final_answer": "-22637868", "answer_type": "integer", "kind": "expression", "math_text": "6556 * (3093 + (-6546))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6556, \"b\": 3093, \"c\": -6546}", "seed": "9305409240271287150", "semantic_fingerprint": "sha256:a3e2b9ffe0e440ac430d45f7034a6785f18e8eb7eb903517b07978b778d0cfff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000528", "prompt": "Solve the equation x + 3059 = 20x for x.", "solution_steps": ["Subtract 20x from both sides: -19x + 3059 = 0", "Subtract 3059 from both sides: -19x = -3059", "Divide both sides by -19: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3059 = 20x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 3059, \"x\": 161}", "seed": "5966190518715074646", "semantic_fingerprint": "sha256:3bba7943b3e6ccc0555fe9236085b05c7a752d125f0aad05f940a7d193a21c5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000529", "prompt": "Evaluate: 75705 * 2489", "solution_steps": ["Multiply: 75705 * 2489 = 188429745"], "final_answer": "188429745", "answer_type": "integer", "kind": "expression", "math_text": "75705 * 2489", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 75705, \"b\": 2489}", "seed": "4199058826155701830", "semantic_fingerprint": "sha256:d2ade429dc221be567f3c8fcfe22a270ccc4f13bb069537d673e7f119c2280e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000530", "prompt": "Evaluate: -37358 * (-1878) + 6726 + (8834 + (-49547))", "solution_steps": ["Multiply: -37358 * (-1878) = 70158324", "Add: 70158324 + 6726 = 70165050", "Add: 8834 + (-49547) = -40713", "Add: 70165050 + (-40713) = 70124337"], "final_answer": "70124337", "answer_type": "integer", "kind": "expression", "math_text": "-37358 * (-1878) + 6726 + (8834 + (-49547))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37358, \"b\": -1878, \"c\": 6726, \"d\": 8834, \"e\": -49547}", "seed": "11592578336423408977", "semantic_fingerprint": "sha256:7de589b2b1c73a19e8d9f0d495f05314f24e2c4c8cb688fc056b991f45a3a942", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000531", "prompt": "What is (-7253 + (-6167 + (-92653))) * (-6389)?", "solution_steps": ["Add: -6167 + (-92653) = -98820", "Add: -7253 + (-98820) = -106073", "Multiply: -106073 * (-6389) = 677700397"], "final_answer": "677700397", "answer_type": "integer", "kind": "expression", "math_text": "(-7253 + (-6167 + (-92653))) * (-6389)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7253, \"b\": -6167, \"c\": -92653, \"d\": -6389}", "seed": "8465703456965508436", "semantic_fingerprint": "sha256:39f44e4038c737dee89e3aecaa8aeeb74db7cfa774fae71c382932ef30616617", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000532", "prompt": "What is 7444 + 9882 - 1843 * (8187 / (-83981))?", "solution_steps": ["Add: 7444 + 9882 = 17326", "Divide: 8187 / (-83981) = -8187/83981", "Multiply: 1843 * (-8187/83981) = -15088641/83981", "Subtract: 17326 - (-15088641/83981) = 1470143447/83981"], "final_answer": "1470143447/83981", "answer_type": "rational", "kind": "expression", "math_text": "7444 + 9882 - 1843 * (8187 / (-83981))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7444, \"b\": 9882, \"c\": 1843, \"d\": 8187, \"e\": -83981}", "seed": "13317110519956833958", "semantic_fingerprint": "sha256:c4f9d24a7ed3b426b4e616b9d96325391f806ae8aaf19657a2bf5876f1327487", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000533", "prompt": "Evaluate: -5275 / (-8392)", "solution_steps": ["Divide: -5275 / (-8392) = 5275/8392"], "final_answer": "5275/8392", "answer_type": "rational", "kind": "expression", "math_text": "-5275 / (-8392)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5275, \"b\": -8392}", "seed": "3758662721055943244", "semantic_fingerprint": "sha256:0e8ba35b28183d12465e201ced020db985fe951c1a357df65a2f1bef16bd4b73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000534", "prompt": "What is (-7109 - (9979 - (-4157))) * 5852?", "solution_steps": ["Subtract: 9979 - (-4157) = 14136", "Subtract: -7109 - 14136 = -21245", "Multiply: -21245 * 5852 = -124325740"], "final_answer": "-124325740", "answer_type": "integer", "kind": "expression", "math_text": "(-7109 - (9979 - (-4157))) * 5852", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7109, \"b\": 9979, \"c\": -4157, \"d\": 5852}", "seed": "7363024234202789152", "semantic_fingerprint": "sha256:27dd39311e1520cb108cc64cd17314b0e0f774f82f456d80c67ec5d7a7f39f99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000535", "prompt": "Compute: (-2066 - (33599 + 23922)) / 77175 - 3083", "solution_steps": ["Add: 33599 + 23922 = 57521", "Subtract: -2066 - 57521 = -59587", "Divide: -59587 / 77175 = -59587/77175", "Subtract: -59587/77175 - 3083 = -237990112/77175"], "final_answer": "-237990112/77175", "answer_type": "rational", "kind": "expression", "math_text": "(-2066 - (33599 + 23922)) / 77175 - 3083", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2066, \"b\": 33599, \"c\": 23922, \"d\": 77175, \"e\": 3083}", "seed": "10241836026829788660", "semantic_fingerprint": "sha256:8a0e0ed1a60afe2afe9f6f019cdd20b5d7de23a8bc3e476f81c6f71265bb885c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000536", "prompt": "Compute: -5077 - (-6737 + 98304 + 3269)", "solution_steps": ["Add: -6737 + 98304 = 91567", "Add: 91567 + 3269 = 94836", "Subtract: -5077 - 94836 = -99913"], "final_answer": "-99913", "answer_type": "integer", "kind": "expression", "math_text": "-5077 - (-6737 + 98304 + 3269)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5077, \"b\": -6737, \"c\": 98304, \"d\": 3269}", "seed": "2353521754717506735", "semantic_fingerprint": "sha256:b13469c5ff6297f00fb1feb97974c8e0b885ee3816ec008c0994b6ff588468e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000537", "prompt": "Calculate: (-2702 - (-94054)) * (-60626 - 2969)", "solution_steps": ["Subtract: -2702 - (-94054) = 91352", "Subtract: -60626 - 2969 = -63595", "Multiply: 91352 * (-63595) = -5809530440"], "final_answer": "-5809530440", "answer_type": "integer", "kind": "expression", "math_text": "(-2702 - (-94054)) * (-60626 - 2969)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2702, \"b\": -94054, \"c\": -60626, \"d\": 2969}", "seed": "6456362879901519116", "semantic_fingerprint": "sha256:7fce408eb68e6009a82148c7c3fda41ac6d7152ea1402cd6724198753de95177", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000538", "prompt": "Evaluate: (-1801 - 6868) / (-6805)", "solution_steps": ["Subtract: -1801 - 6868 = -8669", "Divide: -8669 / (-6805) = 8669/6805"], "final_answer": "8669/6805", "answer_type": "rational", "kind": "expression", "math_text": "(-1801 - 6868) / (-6805)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1801, \"b\": 6868, \"c\": -6805}", "seed": "5969765885148052367", "semantic_fingerprint": "sha256:862a06c470e568c3bd20341586c3059d2d98587fd42b292fde14347f36d0c3ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000539", "prompt": "Calculate: 46114 + (-1591) + (5413 - (-3101 / 4823 + (-2820)))", "solution_steps": ["Add: 46114 + (-1591) = 44523", "Divide: -3101 / 4823 = -443/689", "Add: -443/689 + (-2820) = -1943423/689", "Subtract: 5413 - (-1943423/689) = 5672980/689", "Add: 44523 + 5672980/689 = 36349327/689"], "final_answer": "36349327/689", "answer_type": "rational", "kind": "expression", "math_text": "46114 + (-1591) + (5413 - (-3101 / 4823 + (-2820)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ (/ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 46114, \"b\": -1591, \"c\": 5413, \"d\": -3101, \"e\": 4823, \"f\": -2820}", "seed": "14997449190908912717", "semantic_fingerprint": "sha256:30fb46a88d76966371d85d365e9c4b888880e6f7932b7a684212649819eeadcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000540", "prompt": "Compute: 5444 + 1500 + 6732 - 92280", "solution_steps": ["Add: 5444 + 1500 = 6944", "Add: 6944 + 6732 = 13676", "Subtract: 13676 - 92280 = -78604"], "final_answer": "-78604", "answer_type": "integer", "kind": "expression", "math_text": "5444 + 1500 + 6732 - 92280", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5444, \"b\": 1500, \"c\": 6732, \"d\": 92280}", "seed": "18263668865382068338", "semantic_fingerprint": "sha256:a3987d4dedde67e3b0543d2fca84eedb500133157982c8acb36680ca550ebe2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000541", "prompt": "What is (4605 + 37798) / 9942?", "solution_steps": ["Add: 4605 + 37798 = 42403", "Divide: 42403 / 9942 = 42403/9942"], "final_answer": "42403/9942", "answer_type": "rational", "kind": "expression", "math_text": "(4605 + 37798) / 9942", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4605, \"b\": 37798, \"c\": 9942}", "seed": "995953300291192300", "semantic_fingerprint": "sha256:75b0f3d01f791d56f3b98bd2e8c97710f4e122c1705f940d068186e74c07d707", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000542", "prompt": "What is (6354 - (-4752)) * (-5450)?", "solution_steps": ["Subtract: 6354 - (-4752) = 11106", "Multiply: 11106 * (-5450) = -60527700"], "final_answer": "-60527700", "answer_type": "integer", "kind": "expression", "math_text": "(6354 - (-4752)) * (-5450)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6354, \"b\": -4752, \"c\": -5450}", "seed": "12071590391724925866", "semantic_fingerprint": "sha256:fb4e567695f32d0590252bab94a59d7a0336dcc5a59e00f315b3adc0bfdc37cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000543", "prompt": "What is -15536 + (-91636 - 79426) / 9831 + 66729?", "solution_steps": ["Subtract: -91636 - 79426 = -171062", "Divide: -171062 / 9831 = -171062/9831", "Add: -15536 + (-171062/9831) = -152905478/9831", "Add: -152905478/9831 + 66729 = 503107321/9831"], "final_answer": "503107321/9831", "answer_type": "rational", "kind": "expression", "math_text": "-15536 + (-91636 - 79426) / 9831 + 66729", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15536, \"b\": -91636, \"c\": 79426, \"d\": 9831, \"e\": 66729}", "seed": "18278599366343012137", "semantic_fingerprint": "sha256:9667d453ea923f00b28393991b0cd8e6a066a459a01303d937959baf25fafaca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000544", "prompt": "Calculate: (-67887 + 2169) / (-5614)", "solution_steps": ["Add: -67887 + 2169 = -65718", "Divide: -65718 / (-5614) = 32859/2807"], "final_answer": "32859/2807", "answer_type": "rational", "kind": "expression", "math_text": "(-67887 + 2169) / (-5614)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67887, \"b\": 2169, \"c\": -5614}", "seed": "12424576317596625557", "semantic_fingerprint": "sha256:6f6a0894a4277dd85a466f750f0a8a8dfd9429bb4aa7465c7567bdd4eb519627", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000545", "prompt": "What value of x satisfies x - 8436 = -19x - 6476?", "solution_steps": ["Add 19x to both sides: 20x - 8436 = -6476", "Add 8436 to both sides: 20x = 1960", "Divide both sides by 20: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8436 = -19x - 6476", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8436, \"b\": -19, \"d\": -6476, \"x\": 98}", "seed": "1367164498224948563", "semantic_fingerprint": "sha256:4c3ce60e150772a1ad05c60ead57738ddafe68f882d2a01c75d5ec353e942f7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000546", "prompt": "Solve for x: 35x + 1612 = 30x + 2557", "solution_steps": ["Subtract 30x from both sides: 5x + 1612 = 2557", "Subtract 1612 from both sides: 5x = 945", "Divide both sides by 5: x = 189"], "final_answer": "189", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 1612 = 30x + 2557", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 1612, \"c\": 30, \"e\": 2557, \"x\": 189}", "seed": "14066495990860080915", "semantic_fingerprint": "sha256:b8fb62c2cf7a9fe4a30e7f93a7400174d6a2a3564c000324b379f04b7acc2c16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000547", "prompt": "Calculate: 1229 - (-2081) * (-8796) / (-9846)", "solution_steps": ["Multiply: -2081 * (-8796) = 18304476", "Divide: 18304476 / (-9846) = -3050746/1641", "Subtract: 1229 - (-3050746/1641) = 5067535/1641"], "final_answer": "5067535/1641", "answer_type": "rational", "kind": "expression", "math_text": "1229 - (-2081) * (-8796) / (-9846)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1229, \"b\": -2081, \"c\": -8796, \"d\": -9846}", "seed": "16264448428354091743", "semantic_fingerprint": "sha256:b3ffec36ccd24e64924add9c73fae7fcb243ac75acb8c398d4d9b0202031feed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000548", "prompt": "Compute: -1826 / 3752 * 8490", "solution_steps": ["Divide: -1826 / 3752 = -913/1876", "Multiply: (-913/1876) * 8490 = -3875685/938"], "final_answer": "-3875685/938", "answer_type": "rational", "kind": "expression", "math_text": "-1826 / 3752 * 8490", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1826, \"b\": 3752, \"c\": 8490}", "seed": "6671315472390317221", "semantic_fingerprint": "sha256:c89aa161b9559ed0899b773229ccee7719680d409445941c9473f42583bffa60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000549", "prompt": "Evaluate: -7219 * 73999 + (-1784)", "solution_steps": ["Multiply: -7219 * 73999 = -534198781", "Add: -534198781 + (-1784) = -534200565"], "final_answer": "-534200565", "answer_type": "integer", "kind": "expression", "math_text": "-7219 * 73999 + (-1784)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7219, \"b\": 73999, \"c\": -1784}", "seed": "8031412529014867133", "semantic_fingerprint": "sha256:e77cc73b76005b89ebd0df9983fb5697e2f6c4007fa6cf589a157146a6e8ad8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000550", "prompt": "Calculate: -46564 * (-4440) - (-18936) / (8724 / (-60289))", "solution_steps": ["Multiply: -46564 * (-4440) = 206744160", "Divide: 8724 / (-60289) = -8724/60289", "Divide: -18936 / (-8724/60289) = 95136042/727", "Subtract: 206744160 - 95136042/727 = 150207868278/727"], "final_answer": "150207868278/727", "answer_type": "rational", "kind": "expression", "math_text": "-46564 * (-4440) - (-18936) / (8724 / (-60289))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -46564, \"b\": -4440, \"c\": -18936, \"d\": 8724, \"e\": -60289}", "seed": "16107386265925539810", "semantic_fingerprint": "sha256:32b6526a5c0b13dba6dd202f4cdb1fda3e34b71a429675cea29e7aba3ba8ef2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000551", "prompt": "What value of x satisfies 30x + 4989 = x + 4293?", "solution_steps": ["Subtract x from both sides: 29x + 4989 = 4293", "Subtract 4989 from both sides: 29x = -696", "Divide both sides by 29: x = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 4989 = x + 4293", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 4989, \"d\": 4293, \"x\": -24}", "seed": "555610784588689816", "semantic_fingerprint": "sha256:403820901aee96fecbdad00c69064e1f78911211ff7eb7b814dee166582bfda5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000552", "prompt": "Find x: 24(x - 2523) = -23(x + 14500)", "solution_steps": ["Expand: 24x - 60552 = -23(x + 14500)", "Expand: 24x - 60552 = -23x - 333500", "Add 23x to both sides: 47x - 60552 = -333500", "Add 60552 to both sides: 47x = -272948", "Divide both sides by 47: x = -272948/47"], "final_answer": "-272948/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 2523) = -23(x + 14500)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2523, \"c\": -23, \"d\": 14500}", "seed": "16961346206620470119", "semantic_fingerprint": "sha256:4688757f1817cbb77618701bfb429833ebd941fa84a5663e56c64dcebc13be5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000553", "prompt": "What is -8998 - (-32371) + 5247?", "solution_steps": ["Subtract: -8998 - (-32371) = 23373", "Add: 23373 + 5247 = 28620"], "final_answer": "28620", "answer_type": "integer", "kind": "expression", "math_text": "-8998 - (-32371) + 5247", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8998, \"b\": -32371, \"c\": 5247}", "seed": "3495998624480630383", "semantic_fingerprint": "sha256:968e0b08f6bfcf91380202b1fe92b59649f67a43e0e93dd49c6ad4446958ca0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000554", "prompt": "What is 4746 / (-2146) * (3830 - (-9850))?", "solution_steps": ["Divide: 4746 / (-2146) = -2373/1073", "Subtract: 3830 - (-9850) = 13680", "Multiply: (-2373/1073) * 13680 = -32462640/1073"], "final_answer": "-32462640/1073", "answer_type": "rational", "kind": "expression", "math_text": "4746 / (-2146) * (3830 - (-9850))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4746, \"b\": -2146, \"c\": 3830, \"d\": -9850}", "seed": "14929544824634239642", "semantic_fingerprint": "sha256:7fba1f0407328b5e74ad1a72de79dc7dd6e8692fc82186bbbe73a130f5a18c14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000555", "prompt": "Compute: (2034 + 34643) * 25297", "solution_steps": ["Add: 2034 + 34643 = 36677", "Multiply: 36677 * 25297 = 927818069"], "final_answer": "927818069", "answer_type": "integer", "kind": "expression", "math_text": "(2034 + 34643) * 25297", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2034, \"b\": 34643, \"c\": 25297}", "seed": "16139820356636377841", "semantic_fingerprint": "sha256:947047c9ad40aaae27b213a0241ebaf2044b75b61de5a6df89871af0bdc5d113", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000556", "prompt": "What is 8420 * (1798 - 1882) - 59809?", "solution_steps": ["Subtract: 1798 - 1882 = -84", "Multiply: 8420 * (-84) = -707280", "Subtract: -707280 - 59809 = -767089"], "final_answer": "-767089", "answer_type": "integer", "kind": "expression", "math_text": "8420 * (1798 - 1882) - 59809", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8420, \"b\": 1798, \"c\": 1882, \"d\": 59809}", "seed": "7413681074206742723", "semantic_fingerprint": "sha256:d2dbaa4d311d99c89868f7b488ec2eb2a9326cc8cb443425b2bbddbc28de401c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000557", "prompt": "Calculate: (-4059 + 7260) / (-1224)", "solution_steps": ["Add: -4059 + 7260 = 3201", "Divide: 3201 / (-1224) = -1067/408"], "final_answer": "-1067/408", "answer_type": "rational", "kind": "expression", "math_text": "(-4059 + 7260) / (-1224)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4059, \"b\": 7260, \"c\": -1224}", "seed": "2814534990304768865", "semantic_fingerprint": "sha256:21e7dbd5c5ed199a844a897fded72fee6c6887d34674093c7b560df2278f5786", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000558", "prompt": "What is -62370 - (-80973)?", "solution_steps": ["Subtract: -62370 - (-80973) = 18603"], "final_answer": "18603", "answer_type": "integer", "kind": "expression", "math_text": "-62370 - (-80973)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -62370, \"b\": -80973}", "seed": "850505995654845719", "semantic_fingerprint": "sha256:0f54c95c1d900961960fe442ae7004379662f1bc68f61203d704f4f33a3482e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000559", "prompt": "What value of x satisfies 29x + 30867 = -39(x + 75411) + 25450?", "solution_steps": ["Expand: 29x + 30867 = -39x - 2941029 + 25450", "Combine constants: 29x + 30867 = -39x - 2915579", "Add 39x to both sides: 68x + 30867 = -2915579", "Subtract 30867 from both sides: 68x = -2946446", "Divide both sides by 68: x = -1473223/34"], "final_answer": "-1473223/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x + 30867 = -39(x + 75411) + 25450", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 30867, \"c\": -39, \"d\": 75411, \"e\": 25450}", "seed": "13921927525740998711", "semantic_fingerprint": "sha256:d6b47c97a9d11bcfe74936e305943a7965417ae0d43484aad19a031c7ccb4563", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000560", "prompt": "What value of x satisfies x + 12134 = -24(x + 11147)?", "solution_steps": ["Expand: x + 12134 = -24x - 267528", "Add 24x to both sides: 25x + 12134 = -267528", "Subtract 12134 from both sides: 25x = -279662", "Divide both sides by 25: x = -279662/25"], "final_answer": "-279662/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 12134 = -24(x + 11147)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 12134, \"b\": -24, \"c\": 11147}", "seed": "9350256899669469759", "semantic_fingerprint": "sha256:fd0c2f49b46ee3ac26af7ed3fe01ca83864c8668967ec6fcbebf4ec0895f773c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000561", "prompt": "Evaluate: -5746 * (-8989)", "solution_steps": ["Multiply: -5746 * (-8989) = 51650794"], "final_answer": "51650794", "answer_type": "integer", "kind": "expression", "math_text": "-5746 * (-8989)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5746, \"b\": -8989}", "seed": "7374122571422174421", "semantic_fingerprint": "sha256:c406cbb1e9dacf974bd60f467864a5e20edc304175447a7f599f2dc7d17ad837", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000562", "prompt": "What is -86687 / (-31552) * (-1857) + (-2030)?", "solution_steps": ["Divide: -86687 / (-31552) = 86687/31552", "Multiply: (86687/31552) * (-1857) = -160977759/31552", "Add: -160977759/31552 + (-2030) = -225028319/31552"], "final_answer": "-225028319/31552", "answer_type": "rational", "kind": "expression", "math_text": "-86687 / (-31552) * (-1857) + (-2030)", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86687, \"b\": -31552, \"c\": -1857, \"d\": -2030}", "seed": "15482566049751902209", "semantic_fingerprint": "sha256:d27619d57580a4a5d07e5013f33dd04f4f401a52b5d98966d54b651d9e94a251", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000563", "prompt": "What value of x satisfies 23(x - 5691) = x - 78464?", "solution_steps": ["Expand: 23x - 130893 = x - 78464", "Subtract x from both sides: 22x - 130893 = -78464", "Add 130893 to both sides: 22x = 52429", "Divide both sides by 22: x = 52429/22"], "final_answer": "52429/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 5691) = x - 78464", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5691, \"c\": 78464}", "seed": "13688776763004190172", "semantic_fingerprint": "sha256:51c93eff0c81e9fb435a5268374848cfe572b16ef49da69bcbee4d6d1acc3fd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000564", "prompt": "What is 6021 * (-12123)?", "solution_steps": ["Multiply: 6021 * (-12123) = -72992583"], "final_answer": "-72992583", "answer_type": "integer", "kind": "expression", "math_text": "6021 * (-12123)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6021, \"b\": -12123}", "seed": "9050311575549215298", "semantic_fingerprint": "sha256:7d2c065d59ceb0c0489203b693c2c25878dddf21250b33f73a404b74e9c302d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000565", "prompt": "Solve for x: x = 23(x - 85465)", "solution_steps": ["Expand: x = 23x - 1965695", "Subtract 23x from both sides: -22x = -1965695", "Divide both sides by -22: x = 1965695/22"], "final_answer": "1965695/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 23(x - 85465)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 85465}", "seed": "3776704639344350927", "semantic_fingerprint": "sha256:45dba1b608807eb72e0104ce92a7cd9d0e8293f670ca74dc04e1386988b4f25b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000566", "prompt": "Calculate: -7815 + 9340 - (-1660)", "solution_steps": ["Add: -7815 + 9340 = 1525", "Subtract: 1525 - (-1660) = 3185"], "final_answer": "3185", "answer_type": "integer", "kind": "expression", "math_text": "-7815 + 9340 - (-1660)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7815, \"b\": 9340, \"c\": -1660}", "seed": "6260844315628185166", "semantic_fingerprint": "sha256:17472cd5b31e38ad75a55071ac85707a7262af85004db79d825197c4093abc40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000567", "prompt": "Calculate: 9533 / (8796 / 4820)", "solution_steps": ["Divide: 8796 / 4820 = 2199/1205", "Divide: 9533 / (2199/1205) = 11487265/2199"], "final_answer": "11487265/2199", "answer_type": "rational", "kind": "expression", "math_text": "9533 / (8796 / 4820)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9533, \"b\": 8796, \"c\": 4820}", "seed": "17268818284758282624", "semantic_fingerprint": "sha256:0ec2f896fde354e06a374250d71a3ca55c091a6c6998f8aee15ad8f260b0961a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000568", "prompt": "Evaluate: -7246 - (36974 + (-4005)) - (-53884) / 91903", "solution_steps": ["Add: 36974 + (-4005) = 32969", "Subtract: -7246 - 32969 = -40215", "Divide: -53884 / 91903 = -2836/4837", "Subtract: -40215 - (-2836/4837) = -194517119/4837"], "final_answer": "-194517119/4837", "answer_type": "rational", "kind": "expression", "math_text": "-7246 - (36974 + (-4005)) - (-53884) / 91903", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7246, \"b\": 36974, \"c\": -4005, \"d\": -53884, \"e\": 91903}", "seed": "13393429281796022142", "semantic_fingerprint": "sha256:886414f2e9be48f0c25ce546476254375fe1c21b0f82c4db11e093054755bd8a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000569", "prompt": "Calculate: -4054 / (-5683 + (-74567 + (-2844)) + (-1961 - (-7989)))", "solution_steps": ["Add: -74567 + (-2844) = -77411", "Add: -5683 + (-77411) = -83094", "Subtract: -1961 - (-7989) = 6028", "Add: -83094 + 6028 = -77066", "Divide: -4054 / (-77066) = 2027/38533"], "final_answer": "2027/38533", "answer_type": "rational", "kind": "expression", "math_text": "-4054 / (-5683 + (-74567 + (-2844)) + (-1961 - (-7989)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (+ n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4054, \"b\": -5683, \"c\": -74567, \"d\": -2844, \"e\": -1961, \"f\": -7989}", "seed": "9202649692424064528", "semantic_fingerprint": "sha256:7ced130a81bb281dc201431571c6749a4df785f143b5c294d746156c311342be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000570", "prompt": "Solve for x: 18x = x - 2652", "solution_steps": ["Subtract x from both sides: 17x = -2652", "Divide both sides by 17: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = x - 2652", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": -2652, \"x\": -156}", "seed": "12304367366971849575", "semantic_fingerprint": "sha256:ed6ba1d2793bc6cb6e36de8686945eca6c6e53b0e3515687c0031bc8e6bc729e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000571", "prompt": "What value of x satisfies 23(x + 3559) - 39965 = -18(x + 9898) - 2978?", "solution_steps": ["Expand: 23x + 81857 - 39965 = -18(x + 9898) - 2978", "Expand: 23x + 81857 - 39965 = -18x - 178164 - 2978", "Combine constants: 23x + 41892 = -18x - 178164 - 2978", "Combine constants: 23x + 41892 = -18x - 181142", "Add 18x to both sides: 41x + 41892 = -181142", "Subtract 41892 from both sides: 41x = -223034", "Divide both sides by 41: x = -223034/41"], "final_answer": "-223034/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 3559) - 39965 = -18(x + 9898) - 2978", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3559, \"c\": 39965, \"d\": -18, \"e\": 9898, \"f\": 2978}", "seed": "2212326999842279054", "semantic_fingerprint": "sha256:0e1e5effa9391899ff4a3946b8dfea52e67a1d59a8f697c9113afb9cb3379a83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000572", "prompt": "What value of x satisfies 39x = 35x?", "solution_steps": ["Subtract 35x from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = 35x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 35}", "seed": "877669194306830620", "semantic_fingerprint": "sha256:be1a0ba5a8bbcf448e290997b4536b58a86285e55be5d5cff24549e077ad679f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000573", "prompt": "Calculate: (70187 - (-9072)) * 1631", "solution_steps": ["Subtract: 70187 - (-9072) = 79259", "Multiply: 79259 * 1631 = 129271429"], "final_answer": "129271429", "answer_type": "integer", "kind": "expression", "math_text": "(70187 - (-9072)) * 1631", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70187, \"b\": -9072, \"c\": 1631}", "seed": "3858094181094638094", "semantic_fingerprint": "sha256:e0fbdc450a743709dbd7f64f3aaeb897e7bc7a40c16b6054af279edb2cfa2581", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000574", "prompt": "Find x: x - 39223 = 20x + 9392", "solution_steps": ["Subtract 20x from both sides: -19x - 39223 = 9392", "Add 39223 to both sides: -19x = 48615", "Divide both sides by -19: x = -48615/19"], "final_answer": "-48615/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 39223 = 20x + 9392", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39223, \"b\": 20, \"c\": 9392}", "seed": "11132171826026281386", "semantic_fingerprint": "sha256:2b9af0e868dd2b2f91d64061389a815d07d237a990a32420c976b7349c147e95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000575", "prompt": "Evaluate: 11702 - 1820", "solution_steps": ["Subtract: 11702 - 1820 = 9882"], "final_answer": "9882", "answer_type": "integer", "kind": "expression", "math_text": "11702 - 1820", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 11702, \"b\": 1820}", "seed": "7555456777575590392", "semantic_fingerprint": "sha256:fd9c1c38baf09f14a0144ffd1701771aea089ccfb68fc9685def116891b32179", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000576", "prompt": "Find x: x = 28(x + 16572) - 42234", "solution_steps": ["Expand: x = 28x + 464016 - 42234", "Combine constants: x = 28x + 421782", "Subtract 28x from both sides: -27x = 421782", "Divide both sides by -27: x = -140594/9"], "final_answer": "-140594/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x + 16572) - 42234", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 16572, \"c\": 42234}", "seed": "16085681400596508227", "semantic_fingerprint": "sha256:7bba0bde5eba94cb9d5cc78ce1a6b3db920a22bf75d52d6ecb37ec565d683b51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000577", "prompt": "Solve the equation -21(x - 5459) = 5566 for x.", "solution_steps": ["Expand: -21x + 114639 = 5566", "Subtract 114639 from both sides: -21x = -109073", "Divide both sides by -21: x = 109073/21"], "final_answer": "109073/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 5459) = 5566", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 5459, \"c\": 5566}", "seed": "5065288191404372803", "semantic_fingerprint": "sha256:afa2b40a61b2601603c728a8ec96583938f2fff1a6328fbfc783e6c2a1e16e6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000578", "prompt": "Compute: (-8602 - 24011) / 56065 * (-6981)", "solution_steps": ["Subtract: -8602 - 24011 = -32613", "Divide: -32613 / 56065 = -32613/56065", "Multiply: (-32613/56065) * (-6981) = 227671353/56065"], "final_answer": "227671353/56065", "answer_type": "rational", "kind": "expression", "math_text": "(-8602 - 24011) / 56065 * (-6981)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8602, \"b\": 24011, \"c\": 56065, \"d\": -6981}", "seed": "9029294992107180862", "semantic_fingerprint": "sha256:e3f441fee0825beab0f924027694492adef3de1b6c779c9ed1e5d10d54b424ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000579", "prompt": "Evaluate: 85173 / 3897", "solution_steps": ["Divide: 85173 / 3897 = 28391/1299"], "final_answer": "28391/1299", "answer_type": "rational", "kind": "expression", "math_text": "85173 / 3897", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85173, \"b\": 3897}", "seed": "8472282597479454552", "semantic_fingerprint": "sha256:4e4eff6173398783ec59a097a38aa4d23043a762ff872c6eab1a01d4e0f9f518", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000580", "prompt": "Calculate: 2691 + 15478", "solution_steps": ["Add: 2691 + 15478 = 18169"], "final_answer": "18169", "answer_type": "integer", "kind": "expression", "math_text": "2691 + 15478", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2691, \"b\": 15478}", "seed": "5065509044680514690", "semantic_fingerprint": "sha256:fc66432cf286a1b0f07d8f7e437ef95df6ee9ae96e4e5a3e5e96e5898323328b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000581", "prompt": "Compute: 69030 * (-69110 / (-8407))", "solution_steps": ["Divide: -69110 / (-8407) = 69110/8407", "Multiply: 69030 * (69110/8407) = 4770663300/8407"], "final_answer": "4770663300/8407", "answer_type": "rational", "kind": "expression", "math_text": "69030 * (-69110 / (-8407))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69030, \"b\": -69110, \"c\": -8407}", "seed": "2161840728885579151", "semantic_fingerprint": "sha256:9628398a4b43ee98b305a87b6a587396953c490203001a166a091f2474b6112e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000582", "prompt": "Compute: 80514 / 4963 + (-19823 + 4783)", "solution_steps": ["Divide: 80514 / 4963 = 11502/709", "Add: -19823 + 4783 = -15040", "Add: 11502/709 + (-15040) = -10651858/709"], "final_answer": "-10651858/709", "answer_type": "rational", "kind": "expression", "math_text": "80514 / 4963 + (-19823 + 4783)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80514, \"b\": 4963, \"c\": -19823, \"d\": 4783}", "seed": "15003647445294952861", "semantic_fingerprint": "sha256:cf8beb800e6745d948daeaf19ec38df90f813c5d6f3d57ee766696c1c06c7935", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000583", "prompt": "Evaluate: -9955 / 39161 * 5559", "solution_steps": ["Divide: -9955 / 39161 = -9955/39161", "Multiply: (-9955/39161) * 5559 = -55339845/39161"], "final_answer": "-55339845/39161", "answer_type": "rational", "kind": "expression", "math_text": "-9955 / 39161 * 5559", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9955, \"b\": 39161, \"c\": 5559}", "seed": "3366208539586111664", "semantic_fingerprint": "sha256:d124d32f48902f771afbb4daa98c2c3ad29c3c620b8660642a38ff399c8e94d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000584", "prompt": "What value of x satisfies -30(x + 24174) = x?", "solution_steps": ["Expand: -30x - 725220 = x", "Subtract x from both sides: -31x - 725220 = 0", "Add 725220 to both sides: -31x = 725220", "Divide both sides by -31: x = -725220/31"], "final_answer": "-725220/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 24174) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 24174}", "seed": "10725137354013500714", "semantic_fingerprint": "sha256:e68a476cca730dd15eb52b11884efcc7e0ea58730d92a746ba8b86a0cb35014a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000585", "prompt": "What is (-1286 + (-4867 + 34179)) / (-7193 - (-99975))?", "solution_steps": ["Add: -4867 + 34179 = 29312", "Add: -1286 + 29312 = 28026", "Subtract: -7193 - (-99975) = 92782", "Divide: 28026 / 92782 = 14013/46391"], "final_answer": "14013/46391", "answer_type": "rational", "kind": "expression", "math_text": "(-1286 + (-4867 + 34179)) / (-7193 - (-99975))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1286, \"b\": -4867, \"c\": 34179, \"d\": -7193, \"e\": -99975}", "seed": "15658259790764572316", "semantic_fingerprint": "sha256:6f5c0e2a98406a95e526f0ed3e94a8a447d1274bd3a6913782c40166cca8b318", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000586", "prompt": "Compute: 6256 / (-55645 + 22926) - (-4256)", "solution_steps": ["Add: -55645 + 22926 = -32719", "Divide: 6256 / (-32719) = -6256/32719", "Subtract: -6256/32719 - (-4256) = 139245808/32719"], "final_answer": "139245808/32719", "answer_type": "rational", "kind": "expression", "math_text": "6256 / (-55645 + 22926) - (-4256)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6256, \"b\": -55645, \"c\": 22926, \"d\": -4256}", "seed": "17484391299339801430", "semantic_fingerprint": "sha256:9bb69b6bc5ce2bbe9702f80709c06e326102f786acdc5f0ceb3fa427197bfd0a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000587", "prompt": "Compute: 27831 + (-9458 - (-2375) - 53203) + (-3376)", "solution_steps": ["Subtract: -9458 - (-2375) = -7083", "Subtract: -7083 - 53203 = -60286", "Add: 27831 + (-60286) = -32455", "Add: -32455 + (-3376) = -35831"], "final_answer": "-35831", "answer_type": "integer", "kind": "expression", "math_text": "27831 + (-9458 - (-2375) - 53203) + (-3376)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27831, \"b\": -9458, \"c\": -2375, \"d\": 53203, \"e\": -3376}", "seed": "15100054327120759743", "semantic_fingerprint": "sha256:ebb1aaf03225359ad0e93062d96bff5f5ef1a3b8791d80503dc8da11ebba0e02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000588", "prompt": "Solve for x: x = -39(x - 56116) - 9254", "solution_steps": ["Expand: x = -39x + 2188524 - 9254", "Combine constants: x = -39x + 2179270", "Add 39x to both sides: 40x = 2179270", "Divide both sides by 40: x = 217927/4"], "final_answer": "217927/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -39(x - 56116) - 9254", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 56116, \"c\": 9254}", "seed": "18147097862066250941", "semantic_fingerprint": "sha256:8e3f45539acbdbd7c1c59db2776c63b229b27e74bb9133e7af8ad2b9b3339d7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000589", "prompt": "Compute: -31399 - 7991 / 20392 * 85725", "solution_steps": ["Divide: 7991 / 20392 = 7991/20392", "Multiply: (7991/20392) * 85725 = 685028475/20392", "Subtract: -31399 - 685028475/20392 = -1325316883/20392"], "final_answer": "-1325316883/20392", "answer_type": "rational", "kind": "expression", "math_text": "-31399 - 7991 / 20392 * 85725", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31399, \"b\": 7991, \"c\": 20392, \"d\": 85725}", "seed": "10058222887750323530", "semantic_fingerprint": "sha256:05caa7149799385f9e3c787d4203e46d2c14f2dbee40397e672de3744552c895", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000590", "prompt": "Solve the equation x = 23(x + 3240) - 71748 for x.", "solution_steps": ["Expand: x = 23x + 74520 - 71748", "Combine constants: x = 23x + 2772", "Subtract 23x from both sides: -22x = 2772", "Divide both sides by -22: x = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 23(x + 3240) - 71748", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3240, \"d\": -71748, \"x\": -126}", "seed": "6344819721973035873", "semantic_fingerprint": "sha256:fbe50255672a7e24232f3d590d3ae831913658f0b7d03bcc7b3a322607e5037c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000591", "prompt": "What is -71341 * (-3238) + 74148 + (9612 - (5244 - 9868))?", "solution_steps": ["Multiply: -71341 * (-3238) = 231002158", "Add: 231002158 + 74148 = 231076306", "Subtract: 5244 - 9868 = -4624", "Subtract: 9612 - (-4624) = 14236", "Add: 231076306 + 14236 = 231090542"], "final_answer": "231090542", "answer_type": "integer", "kind": "expression", "math_text": "-71341 * (-3238) + 74148 + (9612 - (5244 - 9868))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -71341, \"b\": -3238, \"c\": 74148, \"d\": 9612, \"e\": 5244, \"f\": 9868}", "seed": "13472932202201565598", "semantic_fingerprint": "sha256:8bef90bc393f3d3facd54dc82adf6af23e534f8c5c2637c2245ea5359205d92b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000592", "prompt": "Find x: -26x = 20x", "solution_steps": ["Subtract 20x from both sides: -46x = 0", "Divide both sides by -46: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x = 20x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 20}", "seed": "6063097847737382283", "semantic_fingerprint": "sha256:c11ec8cbd9bbb4883e1810a5ea5f50b1e1c3052fde7eed9c884e100e8b54822a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000593", "prompt": "Find x: -27x = 35x + 2656", "solution_steps": ["Subtract 35x from both sides: -62x = 2656", "Divide both sides by -62: x = -1328/31"], "final_answer": "-1328/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x = 35x + 2656", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 35, \"c\": 2656}", "seed": "6890890450854387985", "semantic_fingerprint": "sha256:ded78500ba4372be08ba51bd6548a558e62fd38b5d92326a4c0f0e43820d46e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000594", "prompt": "Compute: -7002 - 6005", "solution_steps": ["Subtract: -7002 - 6005 = -13007"], "final_answer": "-13007", "answer_type": "integer", "kind": "expression", "math_text": "-7002 - 6005", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7002, \"b\": 6005}", "seed": "15900143842517738888", "semantic_fingerprint": "sha256:97ed6fc960dcfa96193809d21f76a2c489007ea75937686ca1234260f3d82889", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000595", "prompt": "Compute: (6883 + 8760) * 98482", "solution_steps": ["Add: 6883 + 8760 = 15643", "Multiply: 15643 * 98482 = 1540553926"], "final_answer": "1540553926", "answer_type": "integer", "kind": "expression", "math_text": "(6883 + 8760) * 98482", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6883, \"b\": 8760, \"c\": 98482}", "seed": "18089788020823980030", "semantic_fingerprint": "sha256:aadfe9e5fd2e0030afd6a64cd0da9ccea06bdb370b541094b9f24d1a505b9fa2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000596", "prompt": "Compute: -1140 / 1775 + (-1716)", "solution_steps": ["Divide: -1140 / 1775 = -228/355", "Add: -228/355 + (-1716) = -609408/355"], "final_answer": "-609408/355", "answer_type": "rational", "kind": "expression", "math_text": "-1140 / 1775 + (-1716)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1140, \"b\": 1775, \"c\": -1716}", "seed": "13673376382518527763", "semantic_fingerprint": "sha256:698a298d0391ee76438d1fb7a1c9053932bc904612232872710e60ba83605d9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000597", "prompt": "Evaluate: -7154 * (3981 * (-6050))", "solution_steps": ["Multiply: 3981 * (-6050) = -24085050", "Multiply: -7154 * (-24085050) = 172304447700"], "final_answer": "172304447700", "answer_type": "integer", "kind": "expression", "math_text": "-7154 * (3981 * (-6050))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7154, \"b\": 3981, \"c\": -6050}", "seed": "12627271400686134691", "semantic_fingerprint": "sha256:d3ddeafb93d9a210027cd1e6eafa323f5345a65684f173090465383896ffa9cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000598", "prompt": "Solve for x: 34x + 7207 = x + 1795", "solution_steps": ["Subtract x from both sides: 33x + 7207 = 1795", "Subtract 7207 from both sides: 33x = -5412", "Divide both sides by 33: x = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 7207 = x + 1795", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7207, \"d\": 1795, \"x\": -164}", "seed": "8789558653635906823", "semantic_fingerprint": "sha256:d872c592bc789bd76e4d94443b69cfb162cf1371b44113c3c1d8700d78be41a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000599", "prompt": "Solve for x: 17(x + 1827) = -14(x - 60471)", "solution_steps": ["Expand: 17x + 31059 = -14(x - 60471)", "Expand: 17x + 31059 = -14x + 846594", "Add 14x to both sides: 31x + 31059 = 846594", "Subtract 31059 from both sides: 31x = 815535", "Divide both sides by 31: x = 815535/31"], "final_answer": "815535/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 1827) = -14(x - 60471)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1827, \"c\": -14, \"d\": 60471}", "seed": "10867025469902009359", "semantic_fingerprint": "sha256:70014b815a789c9730e66e550f1ff8970a9fcb3c6589dcf2a541167c2fa8f836", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000600", "prompt": "Calculate: 98640 + (-10100)", "solution_steps": ["Add: 98640 + (-10100) = 88540"], "final_answer": "88540", "answer_type": "integer", "kind": "expression", "math_text": "98640 + (-10100)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98640, \"b\": -10100}", "seed": "13939554212208102451", "semantic_fingerprint": "sha256:85bfd6dc6ea05e4a64429e8a3a9e0635cc7bc735dee81284da689637d2ad45a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000601", "prompt": "Solve the equation 29(x + 1048) + 1748 = -19(x - 4857) - 63215 for x.", "solution_steps": ["Expand: 29x + 30392 + 1748 = -19(x - 4857) - 63215", "Expand: 29x + 30392 + 1748 = -19x + 92283 - 63215", "Combine constants: 29x + 32140 = -19x + 92283 - 63215", "Combine constants: 29x + 32140 = -19x + 29068", "Add 19x to both sides: 48x + 32140 = 29068", "Subtract 32140 from both sides: 48x = -3072", "Divide both sides by 48: x = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 1048) + 1748 = -19(x - 4857) - 63215", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1048, \"c\": 1748, \"d\": -19, \"e\": 4857, \"g\": -63215, \"x\": -64}", "seed": "599455434223205993", "semantic_fingerprint": "sha256:c2bf2d7fbfaa458ce5fecbac62a1dac5ef1a5380270a8a2e2003c0bded40efab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000602", "prompt": "Solve for x: -29x = 33(x + 2540)", "solution_steps": ["Expand: -29x = 33x + 83820", "Subtract 33x from both sides: -62x = 83820", "Divide both sides by -62: x = -41910/31"], "final_answer": "-41910/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29x = 33(x + 2540)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 33, \"c\": 2540}", "seed": "15317993377859003146", "semantic_fingerprint": "sha256:6c2edb49192ddf2b6b4b571382f7a4b3bf49dbaaef95f6604b4b2353e3520bb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000603", "prompt": "Evaluate: 4425 * (-4379) / 33755", "solution_steps": ["Multiply: 4425 * (-4379) = -19377075", "Divide: -19377075 / 33755 = -3875415/6751"], "final_answer": "-3875415/6751", "answer_type": "rational", "kind": "expression", "math_text": "4425 * (-4379) / 33755", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4425, \"b\": -4379, \"c\": 33755}", "seed": "10126347956053567061", "semantic_fingerprint": "sha256:b0db0379a4a17e3b821c6e4f90cc7aae970d43ba6d9c759987abfe20dc9287fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000604", "prompt": "Compute: 83846 * (-8038 - (-18340))", "solution_steps": ["Subtract: -8038 - (-18340) = 10302", "Multiply: 83846 * 10302 = 863781492"], "final_answer": "863781492", "answer_type": "integer", "kind": "expression", "math_text": "83846 * (-8038 - (-18340))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83846, \"b\": -8038, \"c\": -18340}", "seed": "11451451770375430982", "semantic_fingerprint": "sha256:02ad5311c7417b148f914ba2cdaab18326afe79b0e5e12a72764691fd9bb8e98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000605", "prompt": "What is 74275 + (-9218)?", "solution_steps": ["Add: 74275 + (-9218) = 65057"], "final_answer": "65057", "answer_type": "integer", "kind": "expression", "math_text": "74275 + (-9218)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74275, \"b\": -9218}", "seed": "6156148182837201522", "semantic_fingerprint": "sha256:e49d167e6690491f6cdd40ba9a8ce57a77726db2670ba41c973f9047a3817fe0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000606", "prompt": "Compute: 87648 * 71606 + (-55463)", "solution_steps": ["Multiply: 87648 * 71606 = 6276122688", "Add: 6276122688 + (-55463) = 6276067225"], "final_answer": "6276067225", "answer_type": "integer", "kind": "expression", "math_text": "87648 * 71606 + (-55463)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87648, \"b\": 71606, \"c\": -55463}", "seed": "12183293862388815932", "semantic_fingerprint": "sha256:3aae673a3acea5ef5ca108120cacab29007c8cfef25b29286995ec7bae42efc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000607", "prompt": "Evaluate: -5003 * 4661 - 7005", "solution_steps": ["Multiply: -5003 * 4661 = -23318983", "Subtract: -23318983 - 7005 = -23325988"], "final_answer": "-23325988", "answer_type": "integer", "kind": "expression", "math_text": "-5003 * 4661 - 7005", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5003, \"b\": 4661, \"c\": 7005}", "seed": "10297855556789943637", "semantic_fingerprint": "sha256:ea9897727ca81ff278a888dd99a3c7b51368dde846eb59e774bdbe20acd916e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000608", "prompt": "What is -6567 * (-1362) * (-18221)?", "solution_steps": ["Multiply: -6567 * (-1362) = 8944254", "Multiply: 8944254 * (-18221) = -162973252134"], "final_answer": "-162973252134", "answer_type": "integer", "kind": "expression", "math_text": "-6567 * (-1362) * (-18221)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6567, \"b\": -1362, \"c\": -18221}", "seed": "18180108888478815326", "semantic_fingerprint": "sha256:664a684e7878c52ad74a54f228b5c7a3057b81e5cb2172b7bee435de14e8d6c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000609", "prompt": "What is 4614 - (-26998) + (-86795) + (-5097) + 1277 * 3302?", "solution_steps": ["Subtract: 4614 - (-26998) = 31612", "Add: 31612 + (-86795) = -55183", "Add: -55183 + (-5097) = -60280", "Multiply: 1277 * 3302 = 4216654", "Add: -60280 + 4216654 = 4156374"], "final_answer": "4156374", "answer_type": "integer", "kind": "expression", "math_text": "4614 - (-26998) + (-86795) + (-5097) + 1277 * 3302", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ (- n n) n) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4614, \"b\": -26998, \"c\": -86795, \"d\": -5097, \"e\": 1277, \"f\": 3302}", "seed": "12669168338593215725", "semantic_fingerprint": "sha256:f8d5e5ec7c62348954ac00ae00808aa892cc8f68dc9cc545db077d59d4fa3c43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000610", "prompt": "What value of x satisfies 40x - 9856 = -38(x + 21146) - 3685?", "solution_steps": ["Expand: 40x - 9856 = -38x - 803548 - 3685", "Combine constants: 40x - 9856 = -38x - 807233", "Add 38x to both sides: 78x - 9856 = -807233", "Add 9856 to both sides: 78x = -797377", "Divide both sides by 78: x = -797377/78"], "final_answer": "-797377/78", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x - 9856 = -38(x + 21146) - 3685", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 9856, \"c\": -38, \"d\": 21146, \"e\": 3685}", "seed": "12339119540816608206", "semantic_fingerprint": "sha256:d15ad9c8a3130c6e9db129c72e553bc15a4d1995dc8a7f00228f4dc6e767984b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000611", "prompt": "Find x: 32(x - 1722) + 21216 = x - 35934", "solution_steps": ["Expand: 32x - 55104 + 21216 = x - 35934", "Combine constants: 32x - 33888 = x - 35934", "Subtract x from both sides: 31x - 33888 = -35934", "Add 33888 to both sides: 31x = -2046", "Divide both sides by 31: x = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 1722) + 21216 = x - 35934", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1722, \"c\": 21216, \"e\": -35934, \"x\": -66}", "seed": "16216443286549856221", "semantic_fingerprint": "sha256:56540ad017c78c8c35876597e7620f6aef96a5f39a20a13de82a5c5f98d435b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000612", "prompt": "Solve for x: 22(x + 41343) + 2384 = x", "solution_steps": ["Expand: 22x + 909546 + 2384 = x", "Combine constants: 22x + 911930 = x", "Subtract x from both sides: 21x + 911930 = 0", "Subtract 911930 from both sides: 21x = -911930", "Divide both sides by 21: x = -911930/21"], "final_answer": "-911930/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 41343) + 2384 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 41343, \"c\": 2384}", "seed": "8162907054557985411", "semantic_fingerprint": "sha256:a8f7bd92b6bac59f3cfa6df138eccd5d43791279f969048730b891326c79964c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000613", "prompt": "Compute: 64630 - 99200", "solution_steps": ["Subtract: 64630 - 99200 = -34570"], "final_answer": "-34570", "answer_type": "integer", "kind": "expression", "math_text": "64630 - 99200", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 64630, \"b\": 99200}", "seed": "5722981102562466416", "semantic_fingerprint": "sha256:106b623d8ac38f37dfd2e46187d2278a08ebee2793e27af0414476454fabe83a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000614", "prompt": "Calculate: 49411 + 2919", "solution_steps": ["Add: 49411 + 2919 = 52330"], "final_answer": "52330", "answer_type": "integer", "kind": "expression", "math_text": "49411 + 2919", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 49411, \"b\": 2919}", "seed": "18129522679906596216", "semantic_fingerprint": "sha256:9a224b23ffc4d45e30f991e0d432c2541a30638586fe5217af4d860a28b4836f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000615", "prompt": "What is 84718 * (-2008)?", "solution_steps": ["Multiply: 84718 * (-2008) = -170113744"], "final_answer": "-170113744", "answer_type": "integer", "kind": "expression", "math_text": "84718 * (-2008)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84718, \"b\": -2008}", "seed": "3660219912017578013", "semantic_fingerprint": "sha256:f4f64ebb5378cd9b2c1f2957d662f02b0ee172cacb286db5b700c1f4342ac2ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000616", "prompt": "Calculate: -37167 - (1377 + (-4245) - 8404 * 16951)", "solution_steps": ["Add: 1377 + (-4245) = -2868", "Multiply: 8404 * 16951 = 142456204", "Subtract: -2868 - 142456204 = -142459072", "Subtract: -37167 - (-142459072) = 142421905"], "final_answer": "142421905", "answer_type": "integer", "kind": "expression", "math_text": "-37167 - (1377 + (-4245) - 8404 * 16951)", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37167, \"b\": 1377, \"c\": -4245, \"d\": 8404, \"e\": 16951}", "seed": "10454378110998255277", "semantic_fingerprint": "sha256:cbd005b84f20c195ab982036a71a724522d8a8950bfa70b03f4f6716739fb5fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000617", "prompt": "What is 2735 / 8367?", "solution_steps": ["Divide: 2735 / 8367 = 2735/8367"], "final_answer": "2735/8367", "answer_type": "rational", "kind": "expression", "math_text": "2735 / 8367", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2735, \"b\": 8367}", "seed": "7597842750230540441", "semantic_fingerprint": "sha256:8c6d1ea34200f8d0684d17b92cd7655e3b41e67f4c04e28b2d69338447d8ea85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000618", "prompt": "Find x: x = 29x - 4508", "solution_steps": ["Subtract 29x from both sides: -28x = -4508", "Divide both sides by -28: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 29x - 4508", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": -4508, \"x\": 161}", "seed": "1901450071902995861", "semantic_fingerprint": "sha256:21b2eb3d298c397e3f0f6913f6258e823010d1a89df0724cbae0e1fe45117604", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000619", "prompt": "Calculate: -3921 - 41932 - (-14446) * 1506", "solution_steps": ["Subtract: -3921 - 41932 = -45853", "Multiply: -14446 * 1506 = -21755676", "Subtract: -45853 - (-21755676) = 21709823"], "final_answer": "21709823", "answer_type": "integer", "kind": "expression", "math_text": "-3921 - 41932 - (-14446) * 1506", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3921, \"b\": 41932, \"c\": -14446, \"d\": 1506}", "seed": "2459492999344488572", "semantic_fingerprint": "sha256:880e6dcd063499c73e64ee97173edde698355ed17ed2d61b59eebb8a7f48c4c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000620", "prompt": "What is (56742 - 72791) * (1297 / 8352) - (9046 - (-9735))?", "solution_steps": ["Subtract: 56742 - 72791 = -16049", "Divide: 1297 / 8352 = 1297/8352", "Multiply: -16049 * (1297/8352) = -20815553/8352", "Subtract: 9046 - (-9735) = 18781", "Subtract: -20815553/8352 - 18781 = -177674465/8352"], "final_answer": "-177674465/8352", "answer_type": "rational", "kind": "expression", "math_text": "(56742 - 72791) * (1297 / 8352) - (9046 - (-9735))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 56742, \"b\": 72791, \"c\": 1297, \"d\": 8352, \"e\": 9046, \"f\": -9735}", "seed": "2028065439823049342", "semantic_fingerprint": "sha256:fb54bf5c55a6766aae59128d5c452df290763d9085b91c78c1cef322cc86b1c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000621", "prompt": "Solve for x: -16x + 7697 = 36x + 13625", "solution_steps": ["Subtract 36x from both sides: -52x + 7697 = 13625", "Subtract 7697 from both sides: -52x = 5928", "Divide both sides by -52: x = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x + 7697 = 36x + 13625", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 7697, \"c\": 36, \"e\": 13625, \"x\": -114}", "seed": "9000043850163091756", "semantic_fingerprint": "sha256:07813c6894d5644262697ff12123930c23102c848e59caf5eefdede5829cfcda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000622", "prompt": "Solve for x: 24x - 3635 = x - 74169", "solution_steps": ["Subtract x from both sides: 23x - 3635 = -74169", "Add 3635 to both sides: 23x = -70534", "Divide both sides by 23: x = -70534/23"], "final_answer": "-70534/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x - 3635 = x - 74169", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 3635, \"c\": 74169}", "seed": "4571896519778557802", "semantic_fingerprint": "sha256:2e1cc5467e867a7c5cdc725a86f6e0632f8032e16e4c731a343b5a57bf24678a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000623", "prompt": "Compute: (1303 - (-1945 + 5399) - (-4184)) / (-3450)", "solution_steps": ["Add: -1945 + 5399 = 3454", "Subtract: 1303 - 3454 = -2151", "Subtract: -2151 - (-4184) = 2033", "Divide: 2033 / (-3450) = -2033/3450"], "final_answer": "-2033/3450", "answer_type": "rational", "kind": "expression", "math_text": "(1303 - (-1945 + 5399) - (-4184)) / (-3450)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1303, \"b\": -1945, \"c\": 5399, \"d\": -4184, \"e\": -3450}", "seed": "3407638663637053764", "semantic_fingerprint": "sha256:1cf51817cfcbe5038c73776565b6cb12198780e4a0e3395f210ad490470ba506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000624", "prompt": "What is -71491 * 8185 - (6560 - (-35196))?", "solution_steps": ["Multiply: -71491 * 8185 = -585153835", "Subtract: 6560 - (-35196) = 41756", "Subtract: -585153835 - 41756 = -585195591"], "final_answer": "-585195591", "answer_type": "integer", "kind": "expression", "math_text": "-71491 * 8185 - (6560 - (-35196))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71491, \"b\": 8185, \"c\": 6560, \"d\": -35196}", "seed": "4010635111036074428", "semantic_fingerprint": "sha256:1297ac7a3d0246e6b505ee4e7d2f5a9c16763a47ac63aef8659578003f622f02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000625", "prompt": "What is -83171 + (-1865 * (-87828) + 7920)?", "solution_steps": ["Multiply: -1865 * (-87828) = 163799220", "Add: 163799220 + 7920 = 163807140", "Add: -83171 + 163807140 = 163723969"], "final_answer": "163723969", "answer_type": "integer", "kind": "expression", "math_text": "-83171 + (-1865 * (-87828) + 7920)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83171, \"b\": -1865, \"c\": -87828, \"d\": 7920}", "seed": "8927264627800951260", "semantic_fingerprint": "sha256:e57cf7748e07ea5296b1d996947de075c537f64544e78b426ca6a5dc3e286066", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000626", "prompt": "What is 77721 - (80598 + 3286) + 3667 / (-50232)?", "solution_steps": ["Add: 80598 + 3286 = 83884", "Subtract: 77721 - 83884 = -6163", "Divide: 3667 / (-50232) = -3667/50232", "Add: -6163 + (-3667/50232) = -309583483/50232"], "final_answer": "-309583483/50232", "answer_type": "rational", "kind": "expression", "math_text": "77721 - (80598 + 3286) + 3667 / (-50232)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 77721, \"b\": 80598, \"c\": 3286, \"d\": 3667, \"e\": -50232}", "seed": "5809464377857551675", "semantic_fingerprint": "sha256:8c7a21cd52ea6f471f0816037754cdab85236c66b5c3e6a28c5cf1cd0d82902b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000627", "prompt": "What is 77207 / (-27185)?", "solution_steps": ["Divide: 77207 / (-27185) = -77207/27185"], "final_answer": "-77207/27185", "answer_type": "rational", "kind": "expression", "math_text": "77207 / (-27185)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77207, \"b\": -27185}", "seed": "3615500131407767400", "semantic_fingerprint": "sha256:bf6a57d674d1406559e789339b7c3f3f05e860ee8a71cbdbe2bef815f925929a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000628", "prompt": "What is -16264 + (9356 - 95551) + (-5129) - (-4294)?", "solution_steps": ["Subtract: 9356 - 95551 = -86195", "Add: -16264 + (-86195) = -102459", "Add: -102459 + (-5129) = -107588", "Subtract: -107588 - (-4294) = -103294"], "final_answer": "-103294", "answer_type": "integer", "kind": "expression", "math_text": "-16264 + (9356 - 95551) + (-5129) - (-4294)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16264, \"b\": 9356, \"c\": 95551, \"d\": -5129, \"e\": -4294}", "seed": "10094370394066902728", "semantic_fingerprint": "sha256:de029f258d7515e22f64237180205629f9a23ae3b1f8ef82df8d3fb82cbdbc6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000629", "prompt": "What is 33974 + 3049?", "solution_steps": ["Add: 33974 + 3049 = 37023"], "final_answer": "37023", "answer_type": "integer", "kind": "expression", "math_text": "33974 + 3049", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 33974, \"b\": 3049}", "seed": "4381184691922812698", "semantic_fingerprint": "sha256:528160ad04e669246a1a3daaad7acdaeccadf880987ad9265825532979521030", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000630", "prompt": "Find x: -31x + 2457 = 31(x - 1271) + 39378", "solution_steps": ["Expand: -31x + 2457 = 31x - 39401 + 39378", "Combine constants: -31x + 2457 = 31x - 23", "Subtract 31x from both sides: -62x + 2457 = -23", "Subtract 2457 from both sides: -62x = -2480", "Divide both sides by -62: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x + 2457 = 31(x - 1271) + 39378", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 2457, \"c\": 31, \"d\": 1271, \"f\": 39378, \"x\": 40}", "seed": "13419100720213864253", "semantic_fingerprint": "sha256:a173ca221b17f6830953e34171a0dcbcd0ac54939332bd3ec1aa0903f6999ec1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000631", "prompt": "Compute: 4677 / (5169 - 5197 + (-37396)) * (-4523 - (-51463))", "solution_steps": ["Subtract: 5169 - 5197 = -28", "Add: -28 + (-37396) = -37424", "Divide: 4677 / (-37424) = -4677/37424", "Subtract: -4523 - (-51463) = 46940", "Multiply: (-4677/37424) * 46940 = -54884595/9356"], "final_answer": "-54884595/9356", "answer_type": "rational", "kind": "expression", "math_text": "4677 / (5169 - 5197 + (-37396)) * (-4523 - (-51463))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (- n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4677, \"b\": 5169, \"c\": 5197, \"d\": -37396, \"e\": -4523, \"f\": -51463}", "seed": "2302586055134281846", "semantic_fingerprint": "sha256:15fff8e9417b2b86d43b38bb13290d772730b71fcebc381089829a815bc0cc7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000632", "prompt": "Solve the equation 14x - 8091 = x - 5582 for x.", "solution_steps": ["Subtract x from both sides: 13x - 8091 = -5582", "Add 8091 to both sides: 13x = 2509", "Divide both sides by 13: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 8091 = x - 5582", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 8091, \"d\": -5582, \"x\": 193}", "seed": "2435044025888612248", "semantic_fingerprint": "sha256:7227c65cff42ef6c083740adb73bf44b781f07d50c45e023236b8c77d7fc295d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000633", "prompt": "What is (-39663 + (-1754)) / (-58094)?", "solution_steps": ["Add: -39663 + (-1754) = -41417", "Divide: -41417 / (-58094) = 41417/58094"], "final_answer": "41417/58094", "answer_type": "rational", "kind": "expression", "math_text": "(-39663 + (-1754)) / (-58094)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39663, \"b\": -1754, \"c\": -58094}", "seed": "350037837619792169", "semantic_fingerprint": "sha256:6cf01625ae35d4489ab34312547d98bbdc755e3b4f0d8cf7da3198f3887b985a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000634", "prompt": "Compute: 3339 * (-1256)", "solution_steps": ["Multiply: 3339 * (-1256) = -4193784"], "final_answer": "-4193784", "answer_type": "integer", "kind": "expression", "math_text": "3339 * (-1256)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3339, \"b\": -1256}", "seed": "15125090528932165694", "semantic_fingerprint": "sha256:19bba25bf37d3b4504c5a82fb5bda5902a6671190b9e378527bf0ec797a250ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000635", "prompt": "Find x: 19x + 7258 = -19x", "solution_steps": ["Add 19x to both sides: 38x + 7258 = 0", "Subtract 7258 from both sides: 38x = -7258", "Divide both sides by 38: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 7258 = -19x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": -19, \"d\": 7258, \"x\": -191}", "seed": "11695487226944657872", "semantic_fingerprint": "sha256:8d510f91a06f2e685f2befbd2b66e3cfc9b8227f29aa7601783817646c406e05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000636", "prompt": "What is (3274 - 51179 / 5260) * (7739 - (-85756))?", "solution_steps": ["Divide: 51179 / 5260 = 51179/5260", "Subtract: 3274 - 51179/5260 = 17170061/5260", "Subtract: 7739 - (-85756) = 93495", "Multiply: (17170061/5260) * 93495 = 321062970639/1052"], "final_answer": "321062970639/1052", "answer_type": "rational", "kind": "expression", "math_text": "(3274 - 51179 / 5260) * (7739 - (-85756))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3274, \"b\": 51179, \"c\": 5260, \"d\": 7739, \"e\": -85756}", "seed": "2529274738032036540", "semantic_fingerprint": "sha256:bc30f452d72a4d6abc24a3101be0092a17c2276814fa085b4a7c200da715e1fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000637", "prompt": "Solve for x: -39(x - 2102) = 17(x - 9025)", "solution_steps": ["Expand: -39x + 81978 = 17(x - 9025)", "Expand: -39x + 81978 = 17x - 153425", "Subtract 17x from both sides: -56x + 81978 = -153425", "Subtract 81978 from both sides: -56x = -235403", "Divide both sides by -56: x = 33629/8"], "final_answer": "33629/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 2102) = 17(x - 9025)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 2102, \"c\": 17, \"d\": 9025}", "seed": "16445392845906808521", "semantic_fingerprint": "sha256:85030057317dce5a9ca789965f94833aa60bde7b6b9517cae3b211451e3e6691", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000638", "prompt": "Evaluate: 34777 + (-61013)", "solution_steps": ["Add: 34777 + (-61013) = -26236"], "final_answer": "-26236", "answer_type": "integer", "kind": "expression", "math_text": "34777 + (-61013)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34777, \"b\": -61013}", "seed": "172891566974566587", "semantic_fingerprint": "sha256:bbd416f6eb575d953293982a271707f661780906a82634d204f1be79d5f7b267", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000639", "prompt": "Solve the equation x = 15(x - 47690) for x.", "solution_steps": ["Expand: x = 15x - 715350", "Subtract 15x from both sides: -14x = -715350", "Divide both sides by -14: x = 357675/7"], "final_answer": "357675/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 15(x - 47690)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 47690}", "seed": "18334653476084373271", "semantic_fingerprint": "sha256:31a82adbab71beb4ed4ea2a2ab524b9c2e209e5d1a6e44f9cbd2b6b1e46a38bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000640", "prompt": "What value of x satisfies 20x - 5905 = x?", "solution_steps": ["Subtract x from both sides: 19x - 5905 = 0", "Add 5905 to both sides: 19x = 5905", "Divide both sides by 19: x = 5905/19"], "final_answer": "5905/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x - 5905 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 5905}", "seed": "11143830147377916162", "semantic_fingerprint": "sha256:672436b60239480c3809d98ec9ebb5ad4fe12bb31a7ad34e3a2805c606b0cc93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000641", "prompt": "Solve for x: 25(x + 4812) = 35(x - 72163)", "solution_steps": ["Expand: 25x + 120300 = 35(x - 72163)", "Expand: 25x + 120300 = 35x - 2525705", "Subtract 35x from both sides: -10x + 120300 = -2525705", "Subtract 120300 from both sides: -10x = -2646005", "Divide both sides by -10: x = 529201/2"], "final_answer": "529201/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 4812) = 35(x - 72163)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4812, \"c\": 35, \"d\": 72163}", "seed": "11194067547334742990", "semantic_fingerprint": "sha256:d0e7b403e487376a8d426a22f874fdca2a079939fa101d6c3310c7c4807b2d97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000642", "prompt": "Compute: -5641 - (-6931) * (-5352)", "solution_steps": ["Multiply: -6931 * (-5352) = 37094712", "Subtract: -5641 - 37094712 = -37100353"], "final_answer": "-37100353", "answer_type": "integer", "kind": "expression", "math_text": "-5641 - (-6931) * (-5352)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5641, \"b\": -6931, \"c\": -5352}", "seed": "3777273694729652228", "semantic_fingerprint": "sha256:7bd29bdf159a9a8bc51d582ce5ce14d2823fa9ad473f964f330c2bb958fd55e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000643", "prompt": "Find x: x + 9177 = 35x + 10163", "solution_steps": ["Subtract 35x from both sides: -34x + 9177 = 10163", "Subtract 9177 from both sides: -34x = 986", "Divide both sides by -34: x = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9177 = 35x + 10163", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9177, \"b\": 35, \"d\": 10163, \"x\": -29}", "seed": "4597546456199409556", "semantic_fingerprint": "sha256:0d65d63b005f04060e3554c7714923fe7eab5a5e3eefb2279662a9a29ae66ac8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000644", "prompt": "Compute: -5386 / 3811 + (3667 + (-8691) + 7308)", "solution_steps": ["Divide: -5386 / 3811 = -5386/3811", "Add: 3667 + (-8691) = -5024", "Add: -5024 + 7308 = 2284", "Add: -5386/3811 + 2284 = 8698938/3811"], "final_answer": "8698938/3811", "answer_type": "rational", "kind": "expression", "math_text": "-5386 / 3811 + (3667 + (-8691) + 7308)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5386, \"b\": 3811, \"c\": 3667, \"d\": -8691, \"e\": 7308}", "seed": "1371524974565284250", "semantic_fingerprint": "sha256:ef2ad0805972eb1378969ae604d04bd5baf64ddc6536a554d34c3cd157daff04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000645", "prompt": "Calculate: 9651 + 3760", "solution_steps": ["Add: 9651 + 3760 = 13411"], "final_answer": "13411", "answer_type": "integer", "kind": "expression", "math_text": "9651 + 3760", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9651, \"b\": 3760}", "seed": "9599824143385143264", "semantic_fingerprint": "sha256:86a20c3a68e5897fc96eeb612bb9b1e2649599dc86ffb42e6a68132defe74a0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000646", "prompt": "Solve the equation x - 1224 = -35x for x.", "solution_steps": ["Add 35x to both sides: 36x - 1224 = 0", "Add 1224 to both sides: 36x = 1224", "Divide both sides by 36: x = 34"], "final_answer": "34", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1224 = -35x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": -1224, \"x\": 34}", "seed": "9862597637730918172", "semantic_fingerprint": "sha256:dce98736234d3e3cfe159faebd1e021df4fc37ed1690368b6b82f864b8cb082b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000647", "prompt": "What is (-9614 * (-5408) + (-3444)) / (70669 + 65710)?", "solution_steps": ["Multiply: -9614 * (-5408) = 51992512", "Add: 51992512 + (-3444) = 51989068", "Add: 70669 + 65710 = 136379", "Divide: 51989068 / 136379 = 51989068/136379"], "final_answer": "51989068/136379", "answer_type": "rational", "kind": "expression", "math_text": "(-9614 * (-5408) + (-3444)) / (70669 + 65710)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9614, \"b\": -5408, \"c\": -3444, \"d\": 70669, \"e\": 65710}", "seed": "13822639087530553701", "semantic_fingerprint": "sha256:059adf40789c0687b1a9b9175f3c0859bc1c2b8d831e5f5304aeef3b28fb32d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000648", "prompt": "Evaluate: -3458 / (-29580)", "solution_steps": ["Divide: -3458 / (-29580) = 1729/14790"], "final_answer": "1729/14790", "answer_type": "rational", "kind": "expression", "math_text": "-3458 / (-29580)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3458, \"b\": -29580}", "seed": "15649575072061868549", "semantic_fingerprint": "sha256:87e33a74e42ad7a3ab0c761df51283971429e5c3ca5d5fd67da5c6c9022ef6ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000649", "prompt": "Evaluate: -6867 + 9512 * (5867 - 92493)", "solution_steps": ["Subtract: 5867 - 92493 = -86626", "Multiply: 9512 * (-86626) = -823986512", "Add: -6867 + (-823986512) = -823993379"], "final_answer": "-823993379", "answer_type": "integer", "kind": "expression", "math_text": "-6867 + 9512 * (5867 - 92493)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6867, \"b\": 9512, \"c\": 5867, \"d\": 92493}", "seed": "4518749320043367472", "semantic_fingerprint": "sha256:c957e269af7994f45a78e9291bf9554a291c3f88c570efaf2055ec3cde951287", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000650", "prompt": "Solve for x: 17x = -37(x + 2161)", "solution_steps": ["Expand: 17x = -37x - 79957", "Add 37x to both sides: 54x = -79957", "Divide both sides by 54: x = -79957/54"], "final_answer": "-79957/54", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x = -37(x + 2161)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": -37, \"c\": 2161}", "seed": "322650953818174977", "semantic_fingerprint": "sha256:848bc0c788e07e4e7b876f4e443505e52d28b8b549ffc8fda12e5a61d14b61ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000651", "prompt": "Compute: 2401 + (72120 - 4280 - (8079 + 63618))", "solution_steps": ["Subtract: 72120 - 4280 = 67840", "Add: 8079 + 63618 = 71697", "Subtract: 67840 - 71697 = -3857", "Add: 2401 + (-3857) = -1456"], "final_answer": "-1456", "answer_type": "integer", "kind": "expression", "math_text": "2401 + (72120 - 4280 - (8079 + 63618))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2401, \"b\": 72120, \"c\": 4280, \"d\": 8079, \"e\": 63618}", "seed": "2715868901189999086", "semantic_fingerprint": "sha256:5512c38d9f0f19a3df5357c8a103340da2a9671c3c368c8bc9a4885cb67c57ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000652", "prompt": "Find x: 17(x + 8128) - 40736 = 34x + 99701", "solution_steps": ["Expand: 17x + 138176 - 40736 = 34x + 99701", "Combine constants: 17x + 97440 = 34x + 99701", "Subtract 34x from both sides: -17x + 97440 = 99701", "Subtract 97440 from both sides: -17x = 2261", "Divide both sides by -17: x = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 8128) - 40736 = 34x + 99701", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 8128, \"c\": 40736, \"d\": 34, \"f\": 99701, \"x\": -133}", "seed": "5629969348892106605", "semantic_fingerprint": "sha256:6766d671f08b93bacac7026353a1707a7e3e17d690a559a4cbb867dc4b7b75f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000653", "prompt": "Calculate: -3308 * 8731", "solution_steps": ["Multiply: -3308 * 8731 = -28882148"], "final_answer": "-28882148", "answer_type": "integer", "kind": "expression", "math_text": "-3308 * 8731", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3308, \"b\": 8731}", "seed": "755865840274785426", "semantic_fingerprint": "sha256:1d4ef865278f369359c355d054dd3aef83435eab53bdbd38f2e83daaea4429af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000654", "prompt": "Evaluate: 80030 - (-3078) / (-7555)", "solution_steps": ["Divide: -3078 / (-7555) = 3078/7555", "Subtract: 80030 - 3078/7555 = 604623572/7555"], "final_answer": "604623572/7555", "answer_type": "rational", "kind": "expression", "math_text": "80030 - (-3078) / (-7555)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80030, \"b\": -3078, \"c\": -7555}", "seed": "5818383148545493090", "semantic_fingerprint": "sha256:92919b55f90989ee66e4c0b9cbb433e87328bbce90a1393e963eaaa3ed171de6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000655", "prompt": "What is 2700 * (-18571) - (28856 - (-42139))?", "solution_steps": ["Multiply: 2700 * (-18571) = -50141700", "Subtract: 28856 - (-42139) = 70995", "Subtract: -50141700 - 70995 = -50212695"], "final_answer": "-50212695", "answer_type": "integer", "kind": "expression", "math_text": "2700 * (-18571) - (28856 - (-42139))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2700, \"b\": -18571, \"c\": 28856, \"d\": -42139}", "seed": "12480317126322629133", "semantic_fingerprint": "sha256:662bfb06693f874c01fdd15421276453fd87ba520385823bb9897d420337b8a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000656", "prompt": "Evaluate: 45750 * 6234", "solution_steps": ["Multiply: 45750 * 6234 = 285205500"], "final_answer": "285205500", "answer_type": "integer", "kind": "expression", "math_text": "45750 * 6234", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 45750, \"b\": 6234}", "seed": "10455109439813774708", "semantic_fingerprint": "sha256:47da233d4e986fa8c6ac4f49be5d3cee183ba7d27c5b64f143d3c4f6034a91c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000657", "prompt": "Solve the equation x = 30(x + 7759) for x.", "solution_steps": ["Expand: x = 30x + 232770", "Subtract 30x from both sides: -29x = 232770", "Divide both sides by -29: x = -232770/29"], "final_answer": "-232770/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30(x + 7759)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 7759}", "seed": "7109499203324556019", "semantic_fingerprint": "sha256:1eda72341428ce4aa160e0ac04ffdb47e0df363bcd2ed15f8fed9ac48078678a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000658", "prompt": "What is 5979 - (-17906 - (8335 - 5560 + (-3885)))?", "solution_steps": ["Subtract: 8335 - 5560 = 2775", "Add: 2775 + (-3885) = -1110", "Subtract: -17906 - (-1110) = -16796", "Subtract: 5979 - (-16796) = 22775"], "final_answer": "22775", "answer_type": "integer", "kind": "expression", "math_text": "5979 - (-17906 - (8335 - 5560 + (-3885)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5979, \"b\": -17906, \"c\": 8335, \"d\": 5560, \"e\": -3885}", "seed": "18446507468754353452", "semantic_fingerprint": "sha256:0cf761f21f143d3919a103dabf0f52e7e8342dd9bcfbc2beb4683f8d6fd940e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000659", "prompt": "Calculate: -9366 + (7893 + 35496)", "solution_steps": ["Add: 7893 + 35496 = 43389", "Add: -9366 + 43389 = 34023"], "final_answer": "34023", "answer_type": "integer", "kind": "expression", "math_text": "-9366 + (7893 + 35496)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9366, \"b\": 7893, \"c\": 35496}", "seed": "4064887813317405505", "semantic_fingerprint": "sha256:a9613fec7e2e54a7f4c0c2ed66c4a8c2e7fac4f505501c219f93d84ad19920a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000660", "prompt": "What value of x satisfies 20(x - 1871) = 13(x + 4666) - 97882?", "solution_steps": ["Expand: 20x - 37420 = 13(x + 4666) - 97882", "Expand: 20x - 37420 = 13x + 60658 - 97882", "Combine constants: 20x - 37420 = 13x - 37224", "Subtract 13x from both sides: 7x - 37420 = -37224", "Add 37420 to both sides: 7x = 196", "Divide both sides by 7: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 1871) = 13(x + 4666) - 97882", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1871, \"c\": 13, \"d\": 4666, \"f\": -97882, \"x\": 28}", "seed": "11160265576556095630", "semantic_fingerprint": "sha256:2350c621637ea7a1f3efcf1a5ae84a0b2b225f88dc3ddc5b849ff517e18a98bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000661", "prompt": "Solve the equation -35x + 3974 = 35x + 2723 for x.", "solution_steps": ["Subtract 35x from both sides: -70x + 3974 = 2723", "Subtract 3974 from both sides: -70x = -1251", "Divide both sides by -70: x = 1251/70"], "final_answer": "1251/70", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x + 3974 = 35x + 2723", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 3974, \"c\": 35, \"d\": 2723}", "seed": "14756060056729769329", "semantic_fingerprint": "sha256:25f486cec9ce66c3862582583ac66c001f5e74f073096adcd23db938aebe0c67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000662", "prompt": "Solve the equation 16x = 21(x + 74823) for x.", "solution_steps": ["Expand: 16x = 21x + 1571283", "Subtract 21x from both sides: -5x = 1571283", "Divide both sides by -5: x = -1571283/5"], "final_answer": "-1571283/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = 21(x + 74823)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 21, \"c\": 74823}", "seed": "8928085189903169740", "semantic_fingerprint": "sha256:bfc483591046c95acde5e74fc9c404f8e666b4cef844cabe7866239843644d8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000663", "prompt": "Evaluate: -89701 * 8512 + 3044", "solution_steps": ["Multiply: -89701 * 8512 = -763534912", "Add: -763534912 + 3044 = -763531868"], "final_answer": "-763531868", "answer_type": "integer", "kind": "expression", "math_text": "-89701 * 8512 + 3044", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89701, \"b\": 8512, \"c\": 3044}", "seed": "17284985629672651905", "semantic_fingerprint": "sha256:95eca08b24a8d24ca37c9e97e04c59b3b6288aa5d1eb0a94f84f688ca5d73242", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000664", "prompt": "Solve for x: x + 8663 = 35x + 3461", "solution_steps": ["Subtract 35x from both sides: -34x + 8663 = 3461", "Subtract 8663 from both sides: -34x = -5202", "Divide both sides by -34: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8663 = 35x + 3461", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8663, \"b\": 35, \"d\": 3461, \"x\": 153}", "seed": "6564115788840539237", "semantic_fingerprint": "sha256:4fa830fe7474b03371f5528afffd46097b4e07108422188de7faeaa4af31c25d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000665", "prompt": "What is 43730 * (-4832) - 1829?", "solution_steps": ["Multiply: 43730 * (-4832) = -211303360", "Subtract: -211303360 - 1829 = -211305189"], "final_answer": "-211305189", "answer_type": "integer", "kind": "expression", "math_text": "43730 * (-4832) - 1829", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43730, \"b\": -4832, \"c\": 1829}", "seed": "10023393549216961674", "semantic_fingerprint": "sha256:32d832673a491330c57899cd82a07295419ad65659578f96dcbe11bc82986add", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000666", "prompt": "Compute: -9076 * (-9884 + (-1412))", "solution_steps": ["Add: -9884 + (-1412) = -11296", "Multiply: -9076 * (-11296) = 102522496"], "final_answer": "102522496", "answer_type": "integer", "kind": "expression", "math_text": "-9076 * (-9884 + (-1412))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9076, \"b\": -9884, \"c\": -1412}", "seed": "3115166076472939189", "semantic_fingerprint": "sha256:ea47093de6bd26a213ba561df8c2e9358f2db8dae26c70507886e8d8094ac0c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000667", "prompt": "Calculate: (-49329 + (-94883 - 47537)) / (-1483)", "solution_steps": ["Subtract: -94883 - 47537 = -142420", "Add: -49329 + (-142420) = -191749", "Divide: -191749 / (-1483) = 191749/1483"], "final_answer": "191749/1483", "answer_type": "rational", "kind": "expression", "math_text": "(-49329 + (-94883 - 47537)) / (-1483)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -49329, \"b\": -94883, \"c\": 47537, \"d\": -1483}", "seed": "9369028514141523024", "semantic_fingerprint": "sha256:32cced039e295ca59c3ca34f8060007871e9c72fc70823a4691a2435d0382dfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000668", "prompt": "Evaluate: 3656 + 84981 * (42639 - (-6993)) + (-5748) * (-1734)", "solution_steps": ["Subtract: 42639 - (-6993) = 49632", "Multiply: 84981 * 49632 = 4217776992", "Add: 3656 + 4217776992 = 4217780648", "Multiply: -5748 * (-1734) = 9967032", "Add: 4217780648 + 9967032 = 4227747680"], "final_answer": "4227747680", "answer_type": "integer", "kind": "expression", "math_text": "3656 + 84981 * (42639 - (-6993)) + (-5748) * (-1734)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n (- n n))) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3656, \"b\": 84981, \"c\": 42639, \"d\": -6993, \"e\": -5748, \"f\": -1734}", "seed": "10195065797961122546", "semantic_fingerprint": "sha256:30d60657cb7c778b26a3ae84191e8a6ee21907c67d2ae8aea1fa23d87610c049", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000669", "prompt": "What is -33114 * (-62640 - (-4245)) + (-7915 - (-25354))?", "solution_steps": ["Subtract: -62640 - (-4245) = -58395", "Multiply: -33114 * (-58395) = 1933692030", "Subtract: -7915 - (-25354) = 17439", "Add: 1933692030 + 17439 = 1933709469"], "final_answer": "1933709469", "answer_type": "integer", "kind": "expression", "math_text": "-33114 * (-62640 - (-4245)) + (-7915 - (-25354))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33114, \"b\": -62640, \"c\": -4245, \"d\": -7915, \"e\": -25354}", "seed": "13749503046523533198", "semantic_fingerprint": "sha256:925e16960f1ce48fe20b860df765c0c362ea5a5680929e0bf02b5d269dd2d760", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000670", "prompt": "Evaluate: 18713 + 7015 * (-4607 - 8785 - 1921)", "solution_steps": ["Subtract: -4607 - 8785 = -13392", "Subtract: -13392 - 1921 = -15313", "Multiply: 7015 * (-15313) = -107420695", "Add: 18713 + (-107420695) = -107401982"], "final_answer": "-107401982", "answer_type": "integer", "kind": "expression", "math_text": "18713 + 7015 * (-4607 - 8785 - 1921)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18713, \"b\": 7015, \"c\": -4607, \"d\": 8785, \"e\": 1921}", "seed": "6518119173064025648", "semantic_fingerprint": "sha256:8388f7f96732dfc82b1003e32d44c34fda1298ddf71824fb20906b750068bf84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000671", "prompt": "What value of x satisfies -24x = 2304?", "solution_steps": ["Divide both sides by -24: x = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x = 2304", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24, \"c\": 2304, \"x\": -96}", "seed": "7797425792718915421", "semantic_fingerprint": "sha256:c5b3930752f88aa7ff428f092c536d0c11ccb19c34d32926c543c59e4690103f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000672", "prompt": "Calculate: -2546 * 5980 * (-1703)", "solution_steps": ["Multiply: -2546 * 5980 = -15225080", "Multiply: -15225080 * (-1703) = 25928311240"], "final_answer": "25928311240", "answer_type": "integer", "kind": "expression", "math_text": "-2546 * 5980 * (-1703)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2546, \"b\": 5980, \"c\": -1703}", "seed": "8494638634773815543", "semantic_fingerprint": "sha256:0b04b376ec92a5c4929dc68da9d654ffe805d120f54f6d9c0ae1941c16ffefae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000673", "prompt": "Calculate: -14009 + (1508 - (-65344)) - 48213 * (-1074)", "solution_steps": ["Subtract: 1508 - (-65344) = 66852", "Add: -14009 + 66852 = 52843", "Multiply: 48213 * (-1074) = -51780762", "Subtract: 52843 - (-51780762) = 51833605"], "final_answer": "51833605", "answer_type": "integer", "kind": "expression", "math_text": "-14009 + (1508 - (-65344)) - 48213 * (-1074)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14009, \"b\": 1508, \"c\": -65344, \"d\": 48213, \"e\": -1074}", "seed": "9234133932971452441", "semantic_fingerprint": "sha256:6035f76de6224030d6b5de46a03631f8133350c65bbc0322708adf151703a55d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000674", "prompt": "What is -7581 / (-2586)?", "solution_steps": ["Divide: -7581 / (-2586) = 2527/862"], "final_answer": "2527/862", "answer_type": "rational", "kind": "expression", "math_text": "-7581 / (-2586)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7581, \"b\": -2586}", "seed": "4399745837852536478", "semantic_fingerprint": "sha256:b543f5b7bb217a3b3c156850f55df961840c0804f35adfbb9cbff203f8add129", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000675", "prompt": "Compute: -63149 - 72233 * (5159 + (-3018))", "solution_steps": ["Add: 5159 + (-3018) = 2141", "Multiply: 72233 * 2141 = 154650853", "Subtract: -63149 - 154650853 = -154714002"], "final_answer": "-154714002", "answer_type": "integer", "kind": "expression", "math_text": "-63149 - 72233 * (5159 + (-3018))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -63149, \"b\": 72233, \"c\": 5159, \"d\": -3018}", "seed": "16420785418501497978", "semantic_fingerprint": "sha256:6851d94ba4845000a7fc07d73cee8d19eceac8896f92a6e56c81d11067914fb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000676", "prompt": "Calculate: 94545 - (71124 + 54756)", "solution_steps": ["Add: 71124 + 54756 = 125880", "Subtract: 94545 - 125880 = -31335"], "final_answer": "-31335", "answer_type": "integer", "kind": "expression", "math_text": "94545 - (71124 + 54756)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94545, \"b\": 71124, \"c\": 54756}", "seed": "9404579608678819033", "semantic_fingerprint": "sha256:1ff559dcf48ee99e06a7def05c02fd8b254b4e4d767cb6d4d1d731cb70479709", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000677", "prompt": "Solve for x: 26(x - 2389) + 7726 = 22(x - 5610) + 69468", "solution_steps": ["Expand: 26x - 62114 + 7726 = 22(x - 5610) + 69468", "Expand: 26x - 62114 + 7726 = 22x - 123420 + 69468", "Combine constants: 26x - 54388 = 22x - 123420 + 69468", "Combine constants: 26x - 54388 = 22x - 53952", "Subtract 22x from both sides: 4x - 54388 = -53952", "Add 54388 to both sides: 4x = 436", "Divide both sides by 4: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 2389) + 7726 = 22(x - 5610) + 69468", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2389, \"c\": 7726, \"d\": 22, \"e\": 5610, \"g\": 69468, \"x\": 109}", "seed": "17097808731685552703", "semantic_fingerprint": "sha256:e6dacbbcb5e337bf97cfc08847a294b7d3c77bcd7a858a8d7fb5e7ea92d894c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000678", "prompt": "What is (1447 - (-7005)) / (-7263 - 62460)?", "solution_steps": ["Subtract: 1447 - (-7005) = 8452", "Subtract: -7263 - 62460 = -69723", "Divide: 8452 / (-69723) = -8452/69723"], "final_answer": "-8452/69723", "answer_type": "rational", "kind": "expression", "math_text": "(1447 - (-7005)) / (-7263 - 62460)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1447, \"b\": -7005, \"c\": -7263, \"d\": 62460}", "seed": "15972743381236905809", "semantic_fingerprint": "sha256:7e7f09dfde7912be9ef2da77c211e88a444cf577f5cec6ea57fea6e1622f908f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000679", "prompt": "Calculate: -46554 * (-5223 - (28250 + (-13938)))", "solution_steps": ["Add: 28250 + (-13938) = 14312", "Subtract: -5223 - 14312 = -19535", "Multiply: -46554 * (-19535) = 909432390"], "final_answer": "909432390", "answer_type": "integer", "kind": "expression", "math_text": "-46554 * (-5223 - (28250 + (-13938)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -46554, \"b\": -5223, \"c\": 28250, \"d\": -13938}", "seed": "16637010757507467675", "semantic_fingerprint": "sha256:4d0e213486d362fdcf3e9cf618b585db6517ef4c3b3fee2cf9ea200df5117294", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000680", "prompt": "Solve for x: x + 7867 = 7756", "solution_steps": ["Subtract 7867 from both sides: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7867 = 7756", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7867, \"c\": 7756, \"x\": -111}", "seed": "14406959761930778301", "semantic_fingerprint": "sha256:2eee9250fbec2b8a5e2938bd9d8279c5855b804ead60bdb4927c90f72725ff0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000681", "prompt": "Compute: (98085 + (-52048)) / (-8193)", "solution_steps": ["Add: 98085 + (-52048) = 46037", "Divide: 46037 / (-8193) = -46037/8193"], "final_answer": "-46037/8193", "answer_type": "rational", "kind": "expression", "math_text": "(98085 + (-52048)) / (-8193)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98085, \"b\": -52048, \"c\": -8193}", "seed": "3477323876072235307", "semantic_fingerprint": "sha256:12c51f61adcc611b1f43c47553152287836c2fcddb2bacc858b825378f83e958", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000682", "prompt": "Calculate: 3801 * (-2837 + (-7077) - 2303 / 7524)", "solution_steps": ["Add: -2837 + (-7077) = -9914", "Divide: 2303 / 7524 = 2303/7524", "Subtract: -9914 - 2303/7524 = -74595239/7524", "Multiply: 3801 * (-74595239/7524) = -94512167813/2508"], "final_answer": "-94512167813/2508", "answer_type": "rational", "kind": "expression", "math_text": "3801 * (-2837 + (-7077) - 2303 / 7524)", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3801, \"b\": -2837, \"c\": -7077, \"d\": 2303, \"e\": 7524}", "seed": "17945911126202908021", "semantic_fingerprint": "sha256:43b223224515dfcfc4a9c8a8bfd2dae858d2bbcc4395066c410a8a00c9632f18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000683", "prompt": "Calculate: -2595 / (-15083)", "solution_steps": ["Divide: -2595 / (-15083) = 2595/15083"], "final_answer": "2595/15083", "answer_type": "rational", "kind": "expression", "math_text": "-2595 / (-15083)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2595, \"b\": -15083}", "seed": "5100730411589390039", "semantic_fingerprint": "sha256:15df5c2d3bbc4f4230ef432177429d89fa9af87477be770c8915b4fd1a1693e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000684", "prompt": "What value of x satisfies 39x = -20(x + 24418)?", "solution_steps": ["Expand: 39x = -20x - 488360", "Add 20x to both sides: 59x = -488360", "Divide both sides by 59: x = -488360/59"], "final_answer": "-488360/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x = -20(x + 24418)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": -20, \"c\": 24418}", "seed": "15714777151358867464", "semantic_fingerprint": "sha256:74f0860b8bf0e3c092fda3b6b65f93c4c1e0ca9649e192d46326d673fbd3fa7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000685", "prompt": "What is 16291 / (-8168) * (-26221)?", "solution_steps": ["Divide: 16291 / (-8168) = -16291/8168", "Multiply: (-16291/8168) * (-26221) = 427166311/8168"], "final_answer": "427166311/8168", "answer_type": "rational", "kind": "expression", "math_text": "16291 / (-8168) * (-26221)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16291, \"b\": -8168, \"c\": -26221}", "seed": "5560916725416101592", "semantic_fingerprint": "sha256:dbf23f32c40253f4e92670dbc2202b5a36f0c5f1c959cbac5a7e3ab780f94f69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000686", "prompt": "What is -8593 - (-7300) * 69902?", "solution_steps": ["Multiply: -7300 * 69902 = -510284600", "Subtract: -8593 - (-510284600) = 510276007"], "final_answer": "510276007", "answer_type": "integer", "kind": "expression", "math_text": "-8593 - (-7300) * 69902", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8593, \"b\": -7300, \"c\": 69902}", "seed": "2454050373361108225", "semantic_fingerprint": "sha256:2f22507c54d47db2ea78ed8229b3416eedd73a231863a20539a32d53b10f6a66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000687", "prompt": "Compute: (5387 - 9019) * (1561 - (-2650))", "solution_steps": ["Subtract: 5387 - 9019 = -3632", "Subtract: 1561 - (-2650) = 4211", "Multiply: -3632 * 4211 = -15294352"], "final_answer": "-15294352", "answer_type": "integer", "kind": "expression", "math_text": "(5387 - 9019) * (1561 - (-2650))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5387, \"b\": 9019, \"c\": 1561, \"d\": -2650}", "seed": "17731810713696362792", "semantic_fingerprint": "sha256:2917e681c989772c927a1d5c82cdaf907387cbd2f179c3e0d8f405fb9b24cd75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000688", "prompt": "Evaluate: 46865 * 5449", "solution_steps": ["Multiply: 46865 * 5449 = 255367385"], "final_answer": "255367385", "answer_type": "integer", "kind": "expression", "math_text": "46865 * 5449", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46865, \"b\": 5449}", "seed": "9196834830788564942", "semantic_fingerprint": "sha256:3b0ea9ff2aabfbe3a3cc2114b5829a1cf7cca389c268533576f7e8dc8a402e59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000689", "prompt": "Calculate: -8916 + (-3937 + (-5410) - 6025 + 35996 + 6318)", "solution_steps": ["Add: -3937 + (-5410) = -9347", "Subtract: -9347 - 6025 = -15372", "Add: -15372 + 35996 = 20624", "Add: 20624 + 6318 = 26942", "Add: -8916 + 26942 = 18026"], "final_answer": "18026", "answer_type": "integer", "kind": "expression", "math_text": "-8916 + (-3937 + (-5410) - 6025 + 35996 + 6318)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (- (+ n n) n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8916, \"b\": -3937, \"c\": -5410, \"d\": 6025, \"e\": 35996, \"f\": 6318}", "seed": "16983366955097221562", "semantic_fingerprint": "sha256:8c22ca36137b9c2a01ceae332770a5b3cc1adc120b4932d53287d83bfd23ca9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000690", "prompt": "What is 8073 / ((91969 - (-88477)) / (18327 + (-8994 + (-57701))))?", "solution_steps": ["Subtract: 91969 - (-88477) = 180446", "Add: -8994 + (-57701) = -66695", "Add: 18327 + (-66695) = -48368", "Divide: 180446 / (-48368) = -90223/24184", "Divide: 8073 / (-90223/24184) = -195237432/90223"], "final_answer": "-195237432/90223", "answer_type": "rational", "kind": "expression", "math_text": "8073 / ((91969 - (-88477)) / (18327 + (-8994 + (-57701))))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n n) (+ n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8073, \"b\": 91969, \"c\": -88477, \"d\": 18327, \"e\": -8994, \"f\": -57701}", "seed": "13718192048934577354", "semantic_fingerprint": "sha256:6df3d82acd538100319f6b37d4c694ec31b767a41867eaa783545ff65bccd2a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000691", "prompt": "Calculate: (-27018 - (-2403)) * 4339 - 48367", "solution_steps": ["Subtract: -27018 - (-2403) = -24615", "Multiply: -24615 * 4339 = -106804485", "Subtract: -106804485 - 48367 = -106852852"], "final_answer": "-106852852", "answer_type": "integer", "kind": "expression", "math_text": "(-27018 - (-2403)) * 4339 - 48367", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27018, \"b\": -2403, \"c\": 4339, \"d\": 48367}", "seed": "4223388944947076339", "semantic_fingerprint": "sha256:17c5df272407d9c36b2d72231443f20b65d0ab9a4d14e585bb8eacbc11ec5dff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000692", "prompt": "Compute: (-93624 + 2563 - 68595) * (-4296) / (-70801 + 25076)", "solution_steps": ["Add: -93624 + 2563 = -91061", "Subtract: -91061 - 68595 = -159656", "Multiply: -159656 * (-4296) = 685882176", "Add: -70801 + 25076 = -45725", "Divide: 685882176 / (-45725) = -685882176/45725"], "final_answer": "-685882176/45725", "answer_type": "rational", "kind": "expression", "math_text": "(-93624 + 2563 - 68595) * (-4296) / (-70801 + 25076)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -93624, \"b\": 2563, \"c\": 68595, \"d\": -4296, \"e\": -70801, \"f\": 25076}", "seed": "17596038509007743563", "semantic_fingerprint": "sha256:eaaa4222b4bdd026280696c1a3d0504a6cabf8444f2467b9225c8eb0cef35002", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000693", "prompt": "Calculate: 8424 / (76895 + 7767)", "solution_steps": ["Add: 76895 + 7767 = 84662", "Divide: 8424 / 84662 = 4212/42331"], "final_answer": "4212/42331", "answer_type": "rational", "kind": "expression", "math_text": "8424 / (76895 + 7767)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8424, \"b\": 76895, \"c\": 7767}", "seed": "14259519210011733004", "semantic_fingerprint": "sha256:a6fdd327fbb18004869857bb9390d5f919a73c1c1cefd913d4844d8e26ca2fee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000694", "prompt": "Find x: x - 18475 = -24(x - 2845) - 85005", "solution_steps": ["Expand: x - 18475 = -24x + 68280 - 85005", "Combine constants: x - 18475 = -24x - 16725", "Add 24x to both sides: 25x - 18475 = -16725", "Add 18475 to both sides: 25x = 1750", "Divide both sides by 25: x = 70"], "final_answer": "70", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 18475 = -24(x - 2845) - 85005", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18475, \"b\": -24, \"c\": 2845, \"e\": -85005, \"x\": 70}", "seed": "11190969873349526055", "semantic_fingerprint": "sha256:a6fd58dcf2dd8f8e117dc9ab6fbc0ce098a2ac78ee76dc11d8889229c33547ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000695", "prompt": "What is -8116 - 63020?", "solution_steps": ["Subtract: -8116 - 63020 = -71136"], "final_answer": "-71136", "answer_type": "integer", "kind": "expression", "math_text": "-8116 - 63020", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8116, \"b\": 63020}", "seed": "18264014950518769188", "semantic_fingerprint": "sha256:4ee5f117d1fd81d4f25adf0d20049d413a0ee65f75d607f6b18eadd5e3f3efff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000696", "prompt": "Solve for x: x - 18974 = -15x + 84432", "solution_steps": ["Add 15x to both sides: 16x - 18974 = 84432", "Add 18974 to both sides: 16x = 103406", "Divide both sides by 16: x = 51703/8"], "final_answer": "51703/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 18974 = -15x + 84432", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18974, \"b\": -15, \"c\": 84432}", "seed": "8702954422438778667", "semantic_fingerprint": "sha256:6ad3344d4e401d4c26fcb283a1aef3bd48ba5c2f444bbe5724159662210c915a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000697", "prompt": "What value of x satisfies 15(x - 4698) + 85783 = x + 13437?", "solution_steps": ["Expand: 15x - 70470 + 85783 = x + 13437", "Combine constants: 15x + 15313 = x + 13437", "Subtract x from both sides: 14x + 15313 = 13437", "Subtract 15313 from both sides: 14x = -1876", "Divide both sides by 14: x = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 4698) + 85783 = x + 13437", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4698, \"c\": 85783, \"e\": 13437, \"x\": -134}", "seed": "3197125922964195224", "semantic_fingerprint": "sha256:ab389ffd853e7fa79ab7fccb0d39458abf681acb07d7898c09c231780143511b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000698", "prompt": "Calculate: -97073 + (19870 + (97669 - 4831))", "solution_steps": ["Subtract: 97669 - 4831 = 92838", "Add: 19870 + 92838 = 112708", "Add: -97073 + 112708 = 15635"], "final_answer": "15635", "answer_type": "integer", "kind": "expression", "math_text": "-97073 + (19870 + (97669 - 4831))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -97073, \"b\": 19870, \"c\": 97669, \"d\": 4831}", "seed": "13468237082874622994", "semantic_fingerprint": "sha256:0d9bfef2df24fdfa7f5644aef82e4aa9e7818938c60770788f4822c7b62c83c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000699", "prompt": "Solve for x: 28x = -15x + 4644", "solution_steps": ["Add 15x to both sides: 43x = 4644", "Divide both sides by 43: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = -15x + 4644", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": -15, \"d\": 4644, \"x\": 108}", "seed": "17577842717192260128", "semantic_fingerprint": "sha256:08a78a3cafef7036bdd8e4c46c10ee971f9877c0f6e18d500e7a9fad202faf4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000700", "prompt": "Solve for x: -39(x + 6108) + 1887 = 21x + 14457", "solution_steps": ["Expand: -39x - 238212 + 1887 = 21x + 14457", "Combine constants: -39x - 236325 = 21x + 14457", "Subtract 21x from both sides: -60x - 236325 = 14457", "Add 236325 to both sides: -60x = 250782", "Divide both sides by -60: x = -41797/10"], "final_answer": "-41797/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 6108) + 1887 = 21x + 14457", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 6108, \"c\": 1887, \"d\": 21, \"e\": 14457}", "seed": "120710632026716667", "semantic_fingerprint": "sha256:c52446f194a8667f243e3573b571c0704263fd9f1e71e2016f9893f740cfb6bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000701", "prompt": "Calculate: 7470 - (-6140 + (-2558)) * (-66560)", "solution_steps": ["Add: -6140 + (-2558) = -8698", "Multiply: -8698 * (-66560) = 578938880", "Subtract: 7470 - 578938880 = -578931410"], "final_answer": "-578931410", "answer_type": "integer", "kind": "expression", "math_text": "7470 - (-6140 + (-2558)) * (-66560)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7470, \"b\": -6140, \"c\": -2558, \"d\": -66560}", "seed": "9600126167771922800", "semantic_fingerprint": "sha256:5a929226aaaa015f7f0f22d3d834b3d485bde1b0368768e06743310e92c8f287", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000702", "prompt": "Solve for x: -20x - 3837 = -6657", "solution_steps": ["Add 3837 to both sides: -20x = -2820", "Divide both sides by -20: x = 141"], "final_answer": "141", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x - 3837 = -6657", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 3837, \"d\": -6657, \"x\": 141}", "seed": "17753722099313031686", "semantic_fingerprint": "sha256:3781264d2a3c52b69f8d715f312320e35e4adb5bccebaeae3d7bc7c8a18a9ad8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000703", "prompt": "What value of x satisfies -26x + 2997 = x?", "solution_steps": ["Subtract x from both sides: -27x + 2997 = 0", "Subtract 2997 from both sides: -27x = -2997", "Divide both sides by -27: x = 111"], "final_answer": "111", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 2997 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"c\": 2997, \"x\": 111}", "seed": "11888044527127230118", "semantic_fingerprint": "sha256:df974eeb85b73445d8b39e300f2eee4548d297fead24caf52c308210397e2110", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000704", "prompt": "Calculate: 2343 * (-26035) - (-1506 + 61999 * 37206)", "solution_steps": ["Multiply: 2343 * (-26035) = -61000005", "Multiply: 61999 * 37206 = 2306734794", "Add: -1506 + 2306734794 = 2306733288", "Subtract: -61000005 - 2306733288 = -2367733293"], "final_answer": "-2367733293", "answer_type": "integer", "kind": "expression", "math_text": "2343 * (-26035) - (-1506 + 61999 * 37206)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2343, \"b\": -26035, \"c\": -1506, \"d\": 61999, \"e\": 37206}", "seed": "7052142673236254612", "semantic_fingerprint": "sha256:b664fad3f32a83c01b82713fc3f28b0d4f17b09621dde06e439fc03affbbeb82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000705", "prompt": "Find x: 16x + 3916 = 33x + 6428", "solution_steps": ["Subtract 33x from both sides: -17x + 3916 = 6428", "Subtract 3916 from both sides: -17x = 2512", "Divide both sides by -17: x = -2512/17"], "final_answer": "-2512/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x + 3916 = 33x + 6428", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3916, \"c\": 33, \"d\": 6428}", "seed": "6269888366111930791", "semantic_fingerprint": "sha256:62727644101e938378db39013bfdcd5379aacab37cd8e4fbbaef032a9d547833", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000706", "prompt": "Solve for x: -24(x - 53912) - 5605 = 27(x + 1412)", "solution_steps": ["Expand: -24x + 1293888 - 5605 = 27(x + 1412)", "Expand: -24x + 1293888 - 5605 = 27x + 38124", "Combine constants: -24x + 1288283 = 27x + 38124", "Subtract 27x from both sides: -51x + 1288283 = 38124", "Subtract 1288283 from both sides: -51x = -1250159", "Divide both sides by -51: x = 1250159/51"], "final_answer": "1250159/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 53912) - 5605 = 27(x + 1412)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 53912, \"c\": 5605, \"d\": 27, \"e\": 1412}", "seed": "7609281006250117708", "semantic_fingerprint": "sha256:de5ad3375bdf76786208a6e19b203439ba535127e230a9126cb728497a1a5b5e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000707", "prompt": "Solve for x: 14x - 37970 = -20(x - 33319) - 66442", "solution_steps": ["Expand: 14x - 37970 = -20x + 666380 - 66442", "Combine constants: 14x - 37970 = -20x + 599938", "Add 20x to both sides: 34x - 37970 = 599938", "Add 37970 to both sides: 34x = 637908", "Divide both sides by 34: x = 18762"], "final_answer": "18762", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 37970 = -20(x - 33319) - 66442", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 37970, \"c\": -20, \"d\": 33319, \"e\": 66442}", "seed": "15484763416436311678", "semantic_fingerprint": "sha256:481c58748e4f1b085c670d6896d6818b65d2de4668713fb87dd61e6bd47fe6c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000708", "prompt": "Solve the equation 22(x + 3062) = -29(x - 15382) for x.", "solution_steps": ["Expand: 22x + 67364 = -29(x - 15382)", "Expand: 22x + 67364 = -29x + 446078", "Add 29x to both sides: 51x + 67364 = 446078", "Subtract 67364 from both sides: 51x = 378714", "Divide both sides by 51: x = 126238/17"], "final_answer": "126238/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 3062) = -29(x - 15382)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3062, \"c\": -29, \"d\": 15382}", "seed": "14632565616946096702", "semantic_fingerprint": "sha256:bc0e577db3cbaad556aad82b28b9126649b1461e2594ddeb108fee211203f8f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000709", "prompt": "Solve for x: x = 37(x + 6292)", "solution_steps": ["Expand: x = 37x + 232804", "Subtract 37x from both sides: -36x = 232804", "Divide both sides by -36: x = -58201/9"], "final_answer": "-58201/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x + 6292)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 6292}", "seed": "16296024001350244489", "semantic_fingerprint": "sha256:b94d1e4d0a6c194487c79414e7d3f3c5944be15aaba4451bab4bd016d3afc5dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000710", "prompt": "Compute: (3536 - (-74917)) * (-21037 + (-1215)) / 1621", "solution_steps": ["Subtract: 3536 - (-74917) = 78453", "Add: -21037 + (-1215) = -22252", "Multiply: 78453 * (-22252) = -1745736156", "Divide: -1745736156 / 1621 = -1745736156/1621"], "final_answer": "-1745736156/1621", "answer_type": "rational", "kind": "expression", "math_text": "(3536 - (-74917)) * (-21037 + (-1215)) / 1621", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3536, \"b\": -74917, \"c\": -21037, \"d\": -1215, \"e\": 1621}", "seed": "12547503745768687447", "semantic_fingerprint": "sha256:8dcad8ecb880ec1cd691016ee558b8611a9a33111967970201f5b398c4afbc7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000711", "prompt": "Compute: -5355 + (-48987)", "solution_steps": ["Add: -5355 + (-48987) = -54342"], "final_answer": "-54342", "answer_type": "integer", "kind": "expression", "math_text": "-5355 + (-48987)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5355, \"b\": -48987}", "seed": "10376372597258822051", "semantic_fingerprint": "sha256:0b3a6adc4db1ad8f49d8a459ba106269a41e09249a2567a4466b738a323705a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000712", "prompt": "Evaluate: -9512 - (-2259 + 8321)", "solution_steps": ["Add: -2259 + 8321 = 6062", "Subtract: -9512 - 6062 = -15574"], "final_answer": "-15574", "answer_type": "integer", "kind": "expression", "math_text": "-9512 - (-2259 + 8321)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9512, \"b\": -2259, \"c\": 8321}", "seed": "8637604680214773909", "semantic_fingerprint": "sha256:fe53e7df6e302cc2f63872f2e03b5c06ff9a44c7d2a0d19003979d02c60a5e69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000713", "prompt": "Calculate: -1060 - (-1771) - (-39321)", "solution_steps": ["Subtract: -1060 - (-1771) = 711", "Subtract: 711 - (-39321) = 40032"], "final_answer": "40032", "answer_type": "integer", "kind": "expression", "math_text": "-1060 - (-1771) - (-39321)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1060, \"b\": -1771, \"c\": -39321}", "seed": "13684537085282843175", "semantic_fingerprint": "sha256:91facfcb7d29cdd7127c8f71774586daa2dec5baaa54239398405a3a3126a50d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000714", "prompt": "Compute: 19654 * 49387 / (-21399 - 8977)", "solution_steps": ["Multiply: 19654 * 49387 = 970652098", "Subtract: -21399 - 8977 = -30376", "Divide: 970652098 / (-30376) = -485326049/15188"], "final_answer": "-485326049/15188", "answer_type": "rational", "kind": "expression", "math_text": "19654 * 49387 / (-21399 - 8977)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19654, \"b\": 49387, \"c\": -21399, \"d\": 8977}", "seed": "15327182215691146735", "semantic_fingerprint": "sha256:4430bef99a6573cf33e0b3926506e33b534ea9fa7dbb9ececdbe2cb22684c444", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000715", "prompt": "Compute: 6181 + (-6663 - (-1342) * (-3441))", "solution_steps": ["Multiply: -1342 * (-3441) = 4617822", "Subtract: -6663 - 4617822 = -4624485", "Add: 6181 + (-4624485) = -4618304"], "final_answer": "-4618304", "answer_type": "integer", "kind": "expression", "math_text": "6181 + (-6663 - (-1342) * (-3441))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6181, \"b\": -6663, \"c\": -1342, \"d\": -3441}", "seed": "11375737167428434058", "semantic_fingerprint": "sha256:fa9c81c61db33eb026c0cdc9cdfce317661e707a588329fa79700113a30d1698", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000716", "prompt": "What value of x satisfies x - 72525 = -6790?", "solution_steps": ["Add 72525 to both sides: x = 65735"], "final_answer": "65735", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 72525 = -6790", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72525, \"b\": -6790}", "seed": "11996323704323140334", "semantic_fingerprint": "sha256:3baf36f7731e692fd9c1d7b2b126c6a62ea39a02cf4d4affce3feb780bfd47c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000717", "prompt": "Calculate: (50370 * (-1395) + 49085) / (-8722)", "solution_steps": ["Multiply: 50370 * (-1395) = -70266150", "Add: -70266150 + 49085 = -70217065", "Divide: -70217065 / (-8722) = 70217065/8722"], "final_answer": "70217065/8722", "answer_type": "rational", "kind": "expression", "math_text": "(50370 * (-1395) + 49085) / (-8722)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50370, \"b\": -1395, \"c\": 49085, \"d\": -8722}", "seed": "14727629816389367644", "semantic_fingerprint": "sha256:5f696241ead872194460815bce62535286092d59f3bf7f60a011f828c6491864", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000718", "prompt": "What is -2025 / 7953?", "solution_steps": ["Divide: -2025 / 7953 = -675/2651"], "final_answer": "-675/2651", "answer_type": "rational", "kind": "expression", "math_text": "-2025 / 7953", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2025, \"b\": 7953}", "seed": "1927883406168777808", "semantic_fingerprint": "sha256:85c117a06d491c5e30d405796d43d8f7468266e81d64c4275a3017f4b2f8cb90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000719", "prompt": "Evaluate: 2753 + (-7018) * (-6150)", "solution_steps": ["Multiply: -7018 * (-6150) = 43160700", "Add: 2753 + 43160700 = 43163453"], "final_answer": "43163453", "answer_type": "integer", "kind": "expression", "math_text": "2753 + (-7018) * (-6150)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2753, \"b\": -7018, \"c\": -6150}", "seed": "13140903499551560348", "semantic_fingerprint": "sha256:9ec7b55e25eae0de667de952a8a9e6be89242aeba9b7ada50a778bd485c2da6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000720", "prompt": "Solve for x: -37x + 33628 = 31(x - 3936)", "solution_steps": ["Expand: -37x + 33628 = 31x - 122016", "Subtract 31x from both sides: -68x + 33628 = -122016", "Subtract 33628 from both sides: -68x = -155644", "Divide both sides by -68: x = 38911/17"], "final_answer": "38911/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37x + 33628 = 31(x - 3936)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 33628, \"c\": 31, \"d\": 3936}", "seed": "2813349834455247940", "semantic_fingerprint": "sha256:19711663993a1c3f65c358e35988b296316bb64f51c0added4cd0d96339d8517", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000721", "prompt": "What value of x satisfies x + 44594 = -17x + 3122?", "solution_steps": ["Add 17x to both sides: 18x + 44594 = 3122", "Subtract 44594 from both sides: 18x = -41472", "Divide both sides by 18: x = -2304"], "final_answer": "-2304", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 44594 = -17x + 3122", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 44594, \"b\": -17, \"c\": 3122}", "seed": "9631844847781957045", "semantic_fingerprint": "sha256:b57c3060559a9a36f3578c4fc7dc13bf63ee8652387b0224a2cc4c9776f8aacc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000722", "prompt": "Solve for x: -15(x + 7282) - 1830 = 25x - 8725", "solution_steps": ["Expand: -15x - 109230 - 1830 = 25x - 8725", "Combine constants: -15x - 111060 = 25x - 8725", "Subtract 25x from both sides: -40x - 111060 = -8725", "Add 111060 to both sides: -40x = 102335", "Divide both sides by -40: x = -20467/8"], "final_answer": "-20467/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x + 7282) - 1830 = 25x - 8725", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 7282, \"c\": 1830, \"d\": 25, \"e\": 8725}", "seed": "1240155067337679739", "semantic_fingerprint": "sha256:7c6de13c9ccd21983b1415beccf07235f34184a63737698040b4272f20bc20b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000723", "prompt": "Calculate: -2965 * (-5772 - (-8489))", "solution_steps": ["Subtract: -5772 - (-8489) = 2717", "Multiply: -2965 * 2717 = -8055905"], "final_answer": "-8055905", "answer_type": "integer", "kind": "expression", "math_text": "-2965 * (-5772 - (-8489))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2965, \"b\": -5772, \"c\": -8489}", "seed": "12717414345555021278", "semantic_fingerprint": "sha256:121e39094a26da181a4ce6d52fb8e7032909cdc1d9430a5d3737a4d2d0fed573", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000724", "prompt": "Calculate: -8045 - (6034 + (-60815))", "solution_steps": ["Add: 6034 + (-60815) = -54781", "Subtract: -8045 - (-54781) = 46736"], "final_answer": "46736", "answer_type": "integer", "kind": "expression", "math_text": "-8045 - (6034 + (-60815))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8045, \"b\": 6034, \"c\": -60815}", "seed": "12918092079788917373", "semantic_fingerprint": "sha256:80858e91af496cde1f32c182ec6b0f8dbd3781463cdc5c9ac13f9ff25b953b93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000725", "prompt": "What value of x satisfies -39(x - 6152) + 12205 = 35(x - 34466) + 66012?", "solution_steps": ["Expand: -39x + 239928 + 12205 = 35(x - 34466) + 66012", "Expand: -39x + 239928 + 12205 = 35x - 1206310 + 66012", "Combine constants: -39x + 252133 = 35x - 1206310 + 66012", "Combine constants: -39x + 252133 = 35x - 1140298", "Subtract 35x from both sides: -74x + 252133 = -1140298", "Subtract 252133 from both sides: -74x = -1392431", "Divide both sides by -74: x = 1392431/74"], "final_answer": "1392431/74", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 6152) + 12205 = 35(x - 34466) + 66012", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 6152, \"c\": 12205, \"d\": 35, \"e\": 34466, \"f\": 66012}", "seed": "2582509301900471216", "semantic_fingerprint": "sha256:d3ebd8dd3619c9216b5b4ab8b11039e30f8d3dfd748dc1c89abcf5a08dada861", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000726", "prompt": "Solve the equation x - 8481 = 33x + 37414 for x.", "solution_steps": ["Subtract 33x from both sides: -32x - 8481 = 37414", "Add 8481 to both sides: -32x = 45895", "Divide both sides by -32: x = -45895/32"], "final_answer": "-45895/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8481 = 33x + 37414", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8481, \"b\": 33, \"c\": 37414}", "seed": "12755333914402687461", "semantic_fingerprint": "sha256:fc5d8f0996ac4ef0911ba6c17edf5cf7483d34a00fc504b43fecc1be839fed41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000727", "prompt": "Find x: x - 61174 = -22(x + 4178)", "solution_steps": ["Expand: x - 61174 = -22x - 91916", "Add 22x to both sides: 23x - 61174 = -91916", "Add 61174 to both sides: 23x = -30742", "Divide both sides by 23: x = -30742/23"], "final_answer": "-30742/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 61174 = -22(x + 4178)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61174, \"b\": -22, \"c\": 4178}", "seed": "9764162203073946399", "semantic_fingerprint": "sha256:6e480cc5a43a438440cff00495c0241e4f49e3188a5f4612e94099943edac1d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000728", "prompt": "Solve the equation -27(x + 6605) + 1491 = x - 35101 for x.", "solution_steps": ["Expand: -27x - 178335 + 1491 = x - 35101", "Combine constants: -27x - 176844 = x - 35101", "Subtract x from both sides: -28x - 176844 = -35101", "Add 176844 to both sides: -28x = 141743", "Divide both sides by -28: x = -20249/4"], "final_answer": "-20249/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x + 6605) + 1491 = x - 35101", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 6605, \"c\": 1491, \"d\": 35101}", "seed": "17933054392027509016", "semantic_fingerprint": "sha256:538607e842ec2b567d033593af632cc78e854f36366c16918bd406dfa4006657", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000729", "prompt": "Solve for x: 37(x + 3371) = 19(x + 44308)", "solution_steps": ["Expand: 37x + 124727 = 19(x + 44308)", "Expand: 37x + 124727 = 19x + 841852", "Subtract 19x from both sides: 18x + 124727 = 841852", "Subtract 124727 from both sides: 18x = 717125", "Divide both sides by 18: x = 717125/18"], "final_answer": "717125/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 3371) = 19(x + 44308)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 3371, \"c\": 19, \"d\": 44308}", "seed": "7863588561301195393", "semantic_fingerprint": "sha256:0cdefe3508c91a194c68c3e42631984f01180dc78a35d3f03c93a2258672047f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000730", "prompt": "Solve the equation 25x + 6370 = -40x for x.", "solution_steps": ["Add 40x to both sides: 65x + 6370 = 0", "Subtract 6370 from both sides: 65x = -6370", "Divide both sides by 65: x = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 6370 = -40x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": -40, \"d\": 6370, \"x\": -98}", "seed": "8087959971440707310", "semantic_fingerprint": "sha256:c9cd6418efd058764818e6a1a2ccc67b8a8b71d88f314e8e6f5f5faabe0b87f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000731", "prompt": "What is -9670 + (-1324) / (-18436)?", "solution_steps": ["Divide: -1324 / (-18436) = 331/4609", "Add: -9670 + 331/4609 = -44568699/4609"], "final_answer": "-44568699/4609", "answer_type": "rational", "kind": "expression", "math_text": "-9670 + (-1324) / (-18436)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9670, \"b\": -1324, \"c\": -18436}", "seed": "14616412702089185948", "semantic_fingerprint": "sha256:0dfde22c1b9a618dee728c07c7cebc573e1de022a6078ae2f791dba2baeeebe6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000732", "prompt": "Compute: (7348 + (-7230)) * (8459 * (-67735))", "solution_steps": ["Add: 7348 + (-7230) = 118", "Multiply: 8459 * (-67735) = -572970365", "Multiply: 118 * (-572970365) = -67610503070"], "final_answer": "-67610503070", "answer_type": "integer", "kind": "expression", "math_text": "(7348 + (-7230)) * (8459 * (-67735))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7348, \"b\": -7230, \"c\": 8459, \"d\": -67735}", "seed": "17208454254502493891", "semantic_fingerprint": "sha256:8e13b17b13fa87c8aa29e2dc79f963150271ba23c8bb577b350af53cd7c99418", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000733", "prompt": "Find x: -25(x + 1828) + 36772 = 23x", "solution_steps": ["Expand: -25x - 45700 + 36772 = 23x", "Combine constants: -25x - 8928 = 23x", "Subtract 23x from both sides: -48x - 8928 = 0", "Add 8928 to both sides: -48x = 8928", "Divide both sides by -48: x = -186"], "final_answer": "-186", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25(x + 1828) + 36772 = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 1828, \"c\": 23, \"e\": 36772, \"x\": -186}", "seed": "672819088417300644", "semantic_fingerprint": "sha256:57df77877369fa1a520c738915f8770eb840c3ab7f53ca726d98f2432d01e076", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000734", "prompt": "Calculate: -9414 + (39103 + (-9828))", "solution_steps": ["Add: 39103 + (-9828) = 29275", "Add: -9414 + 29275 = 19861"], "final_answer": "19861", "answer_type": "integer", "kind": "expression", "math_text": "-9414 + (39103 + (-9828))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9414, \"b\": 39103, \"c\": -9828}", "seed": "16520605623002038088", "semantic_fingerprint": "sha256:c5fc8061d5d82812624fdf259e1d9886a970a60fec4784657ade988a1537d403", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000735", "prompt": "Compute: (4852 - 10040) / (-97604)", "solution_steps": ["Subtract: 4852 - 10040 = -5188", "Divide: -5188 / (-97604) = 1297/24401"], "final_answer": "1297/24401", "answer_type": "rational", "kind": "expression", "math_text": "(4852 - 10040) / (-97604)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4852, \"b\": 10040, \"c\": -97604}", "seed": "15261432879273961171", "semantic_fingerprint": "sha256:b8a8d8b6c7774f12ef0c2381b3657af771861b439511d2350dab561b66b41bcf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000736", "prompt": "Calculate: 7782 + 2323 + (-26821) * (-8825)", "solution_steps": ["Add: 7782 + 2323 = 10105", "Multiply: -26821 * (-8825) = 236695325", "Add: 10105 + 236695325 = 236705430"], "final_answer": "236705430", "answer_type": "integer", "kind": "expression", "math_text": "7782 + 2323 + (-26821) * (-8825)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7782, \"b\": 2323, \"c\": -26821, \"d\": -8825}", "seed": "12579556781349094278", "semantic_fingerprint": "sha256:2a370f53b7a295d52839892596e210df84168565427077c136d927011242b4e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000737", "prompt": "What is 8537 + 7135 + 1598?", "solution_steps": ["Add: 8537 + 7135 = 15672", "Add: 15672 + 1598 = 17270"], "final_answer": "17270", "answer_type": "integer", "kind": "expression", "math_text": "8537 + 7135 + 1598", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8537, \"b\": 7135, \"c\": 1598}", "seed": "1840351221695422470", "semantic_fingerprint": "sha256:9dffdee1cbe1903cfd8c310fcb64884c828f508e0d78b399b5181f89b6f16206", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000738", "prompt": "Compute: -8024 * 6815 - 19576", "solution_steps": ["Multiply: -8024 * 6815 = -54683560", "Subtract: -54683560 - 19576 = -54703136"], "final_answer": "-54703136", "answer_type": "integer", "kind": "expression", "math_text": "-8024 * 6815 - 19576", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8024, \"b\": 6815, \"c\": 19576}", "seed": "17846091328275772033", "semantic_fingerprint": "sha256:7a446f2c77d3f1307b155f7e8c79f2349c10907ae3f738eb00216930a03bf144", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000739", "prompt": "What is 47563 - (2502 / (79802 / (-9672)) - 26624)?", "solution_steps": ["Divide: 79802 / (-9672) = -39901/4836", "Divide: 2502 / (-39901/4836) = -12099672/39901", "Subtract: -12099672/39901 - 26624 = -1074423896/39901", "Subtract: 47563 - (-1074423896/39901) = 2972235159/39901"], "final_answer": "2972235159/39901", "answer_type": "rational", "kind": "expression", "math_text": "47563 - (2502 / (79802 / (-9672)) - 26624)", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 47563, \"b\": 2502, \"c\": 79802, \"d\": -9672, \"e\": 26624}", "seed": "13776936206563622482", "semantic_fingerprint": "sha256:c3854cefcda2fe61f7b3941c1e26df0cd5f58bb5289fe184fb1438aa49e04d14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000740", "prompt": "Calculate: 9215 + 46673 * 33586", "solution_steps": ["Multiply: 46673 * 33586 = 1567559378", "Add: 9215 + 1567559378 = 1567568593"], "final_answer": "1567568593", "answer_type": "integer", "kind": "expression", "math_text": "9215 + 46673 * 33586", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9215, \"b\": 46673, \"c\": 33586}", "seed": "11864743721977781838", "semantic_fingerprint": "sha256:0f1728ed3c1ae766f2e0c6dd706bd723b76d144d7e8578aab3c7206a5e794a3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000741", "prompt": "Evaluate: 7650 + (1172 + (-5431) / (-3509))", "solution_steps": ["Divide: -5431 / (-3509) = 5431/3509", "Add: 1172 + 5431/3509 = 4117979/3509", "Add: 7650 + 4117979/3509 = 30961829/3509"], "final_answer": "30961829/3509", "answer_type": "rational", "kind": "expression", "math_text": "7650 + (1172 + (-5431) / (-3509))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7650, \"b\": 1172, \"c\": -5431, \"d\": -3509}", "seed": "13979183297754200608", "semantic_fingerprint": "sha256:ba18ad4ca10af80d4c41555ad272eea50a6a66510d430a8b6e865c7410891517", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000742", "prompt": "Find x: 30x + 8141 = 34x - 1767", "solution_steps": ["Subtract 34x from both sides: -4x + 8141 = -1767", "Subtract 8141 from both sides: -4x = -9908", "Divide both sides by -4: x = 2477"], "final_answer": "2477", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 8141 = 34x - 1767", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 8141, \"c\": 34, \"d\": 1767}", "seed": "16183385086704341429", "semantic_fingerprint": "sha256:ec4e40fc017b963544420df2430483a6dedb400c4f94051ac998ea64d58d8dfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000743", "prompt": "Compute: -8176 * (-2027) * (-4521) + (10631 * 8787 - 6694)", "solution_steps": ["Multiply: -8176 * (-2027) = 16572752", "Multiply: 16572752 * (-4521) = -74925411792", "Multiply: 10631 * 8787 = 93414597", "Subtract: 93414597 - 6694 = 93407903", "Add: -74925411792 + 93407903 = -74832003889"], "final_answer": "-74832003889", "answer_type": "integer", "kind": "expression", "math_text": "-8176 * (-2027) * (-4521) + (10631 * 8787 - 6694)", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8176, \"b\": -2027, \"c\": -4521, \"d\": 10631, \"e\": 8787, \"f\": 6694}", "seed": "8412749516255693254", "semantic_fingerprint": "sha256:7c71c86cf8900ee490f9dfb9c6a8e1eabff7179f18a5208f4711b1673c0e5895", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000744", "prompt": "Compute: (-2082 + 5827 - 81802) / (-41047)", "solution_steps": ["Add: -2082 + 5827 = 3745", "Subtract: 3745 - 81802 = -78057", "Divide: -78057 / (-41047) = 78057/41047"], "final_answer": "78057/41047", "answer_type": "rational", "kind": "expression", "math_text": "(-2082 + 5827 - 81802) / (-41047)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2082, \"b\": 5827, \"c\": 81802, \"d\": -41047}", "seed": "8576756250700120186", "semantic_fingerprint": "sha256:48dd76ab7cb60261518a5a59ff578995e5b42af87286a72ea952483bd0f72848", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000745", "prompt": "Solve the equation x + 5688 = 5770 for x.", "solution_steps": ["Subtract 5688 from both sides: x = 82"], "final_answer": "82", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5688 = 5770", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5688, \"c\": 5770, \"x\": 82}", "seed": "14384490531595440922", "semantic_fingerprint": "sha256:b291eb3edb41f75fe149fe9459c1cfee0a9bfea67d53993e35a79e77de3e4fb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000746", "prompt": "What is -30013 - (-6519 + 3838) - (-8446) * (-5814 / 1512)?", "solution_steps": ["Add: -6519 + 3838 = -2681", "Subtract: -30013 - (-2681) = -27332", "Divide: -5814 / 1512 = -323/84", "Multiply: -8446 * (-323/84) = 1364029/42", "Subtract: -27332 - 1364029/42 = -2511973/42"], "final_answer": "-2511973/42", "answer_type": "rational", "kind": "expression", "math_text": "-30013 - (-6519 + 3838) - (-8446) * (-5814 / 1512)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30013, \"b\": -6519, \"c\": 3838, \"d\": -8446, \"e\": -5814, \"f\": 1512}", "seed": "5955499251329551028", "semantic_fingerprint": "sha256:1ca6058781b8ae67a7b49111b8ffac2a9ccaf39066d8da2d36b06067e668cf94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000747", "prompt": "Evaluate: 4869 - 7148 - 9807", "solution_steps": ["Subtract: 4869 - 7148 = -2279", "Subtract: -2279 - 9807 = -12086"], "final_answer": "-12086", "answer_type": "integer", "kind": "expression", "math_text": "4869 - 7148 - 9807", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4869, \"b\": 7148, \"c\": 9807}", "seed": "2190043186351219088", "semantic_fingerprint": "sha256:c7c3668632c536725fa3354250cec16002dc820b619afe255cd56778fa23e399", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000748", "prompt": "Calculate: 4717 + 55147", "solution_steps": ["Add: 4717 + 55147 = 59864"], "final_answer": "59864", "answer_type": "integer", "kind": "expression", "math_text": "4717 + 55147", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4717, \"b\": 55147}", "seed": "6459882844105158101", "semantic_fingerprint": "sha256:1d00b14d4e7adb075a66ad0c4791b6700d59a4f77e52fa86ffe629d4b0592a73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000749", "prompt": "Find x: -38(x + 97018) + 36832 = 5077", "solution_steps": ["Expand: -38x - 3686684 + 36832 = 5077", "Combine constants: -38x - 3649852 = 5077", "Add 3649852 to both sides: -38x = 3654929", "Divide both sides by -38: x = -3654929/38"], "final_answer": "-3654929/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 97018) + 36832 = 5077", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 97018, \"c\": 36832, \"d\": 5077}", "seed": "4169230082697995417", "semantic_fingerprint": "sha256:5ebd8ad930b5f470a5f0cf3e71d8ffff6ac02a795a9ccd28f38e593047b5b15d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000750", "prompt": "Compute: (-4188 - (-9363) - (-2221) * 3216) / 9767", "solution_steps": ["Subtract: -4188 - (-9363) = 5175", "Multiply: -2221 * 3216 = -7142736", "Subtract: 5175 - (-7142736) = 7147911", "Divide: 7147911 / 9767 = 7147911/9767"], "final_answer": "7147911/9767", "answer_type": "rational", "kind": "expression", "math_text": "(-4188 - (-9363) - (-2221) * 3216) / 9767", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4188, \"b\": -9363, \"c\": -2221, \"d\": 3216, \"e\": 9767}", "seed": "15195234420320445922", "semantic_fingerprint": "sha256:22644690498c0d35c6244dbc37b37c473e5d6f4202e117ff2b738b74c96b0635", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000751", "prompt": "What is -7940 - (-4960 + (-6949)) + (-25945 + 17402) * (-2597)?", "solution_steps": ["Add: -4960 + (-6949) = -11909", "Subtract: -7940 - (-11909) = 3969", "Add: -25945 + 17402 = -8543", "Multiply: -8543 * (-2597) = 22186171", "Add: 3969 + 22186171 = 22190140"], "final_answer": "22190140", "answer_type": "integer", "kind": "expression", "math_text": "-7940 - (-4960 + (-6949)) + (-25945 + 17402) * (-2597)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7940, \"b\": -4960, \"c\": -6949, \"d\": -25945, \"e\": 17402, \"f\": -2597}", "seed": "2226680661108642172", "semantic_fingerprint": "sha256:c53a99656b1d07791917e25f27b5b906fb67cb904de8de6267091cdc7b25d467", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000752", "prompt": "Compute: 4713 / (9315 - (-1056))", "solution_steps": ["Subtract: 9315 - (-1056) = 10371", "Divide: 4713 / 10371 = 1571/3457"], "final_answer": "1571/3457", "answer_type": "rational", "kind": "expression", "math_text": "4713 / (9315 - (-1056))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4713, \"b\": 9315, \"c\": -1056}", "seed": "2690457785044055445", "semantic_fingerprint": "sha256:3249ce50032789ab0af804417e45c9bfbef362a73e924036f768568f9b9ad87d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000753", "prompt": "Solve for x: 35(x - 36482) - 7460 = x", "solution_steps": ["Expand: 35x - 1276870 - 7460 = x", "Combine constants: 35x - 1284330 = x", "Subtract x from both sides: 34x - 1284330 = 0", "Add 1284330 to both sides: 34x = 1284330", "Divide both sides by 34: x = 642165/17"], "final_answer": "642165/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 36482) - 7460 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 36482, \"c\": 7460}", "seed": "15313911509932579896", "semantic_fingerprint": "sha256:ed365e7ebb89059cc0912e611cd8940d8377cffc5bafebcab330c2d689f4c3a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000754", "prompt": "Compute: (35540 - 6810) / (5550 / 5452)", "solution_steps": ["Subtract: 35540 - 6810 = 28730", "Divide: 5550 / 5452 = 2775/2726", "Divide: 28730 / (2775/2726) = 15663596/555"], "final_answer": "15663596/555", "answer_type": "rational", "kind": "expression", "math_text": "(35540 - 6810) / (5550 / 5452)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35540, \"b\": 6810, \"c\": 5550, \"d\": 5452}", "seed": "17722674239945055465", "semantic_fingerprint": "sha256:054f52ea358218a92b79fce1ca077ce6c1da92a675c5f3b50e62819cf4eea160", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000755", "prompt": "Calculate: (-70166 - (-4625)) * (-2252)", "solution_steps": ["Subtract: -70166 - (-4625) = -65541", "Multiply: -65541 * (-2252) = 147598332"], "final_answer": "147598332", "answer_type": "integer", "kind": "expression", "math_text": "(-70166 - (-4625)) * (-2252)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70166, \"b\": -4625, \"c\": -2252}", "seed": "13664436524618830538", "semantic_fingerprint": "sha256:4ad652dc181c02926e4a7c53f4b0c7f9b307c22f28687947df0a4cd13c27ae47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000756", "prompt": "Find x: 27x = 23(x - 4310)", "solution_steps": ["Expand: 27x = 23x - 99130", "Subtract 23x from both sides: 4x = -99130", "Divide both sides by 4: x = -49565/2"], "final_answer": "-49565/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x = 23(x - 4310)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 23, \"c\": 4310}", "seed": "6077536123072733502", "semantic_fingerprint": "sha256:7686de3ea05169be3ebc7532c0f605e0e887956f393cf9d7e147c9b9247be1c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000757", "prompt": "What is (-1082 + 4594) * 7280?", "solution_steps": ["Add: -1082 + 4594 = 3512", "Multiply: 3512 * 7280 = 25567360"], "final_answer": "25567360", "answer_type": "integer", "kind": "expression", "math_text": "(-1082 + 4594) * 7280", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1082, \"b\": 4594, \"c\": 7280}", "seed": "9661077175188246762", "semantic_fingerprint": "sha256:3dc3646209d430d9e6bb42523e1b73808d396113e9bf0e6a01464ef4726c06da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000758", "prompt": "Calculate: 7190 + (-91637 - 7304)", "solution_steps": ["Subtract: -91637 - 7304 = -98941", "Add: 7190 + (-98941) = -91751"], "final_answer": "-91751", "answer_type": "integer", "kind": "expression", "math_text": "7190 + (-91637 - 7304)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7190, \"b\": -91637, \"c\": 7304}", "seed": "12089728244332426923", "semantic_fingerprint": "sha256:50b5cf0a534f2eae1301749bb7f31455a851f4cb0fb11029a8b546883311c817", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000759", "prompt": "What is (-2080 + (3968 - 6834)) * (-2118) * 32637?", "solution_steps": ["Subtract: 3968 - 6834 = -2866", "Add: -2080 + (-2866) = -4946", "Multiply: -4946 * (-2118) = 10475628", "Multiply: 10475628 * 32637 = 341893071036"], "final_answer": "341893071036", "answer_type": "integer", "kind": "expression", "math_text": "(-2080 + (3968 - 6834)) * (-2118) * 32637", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2080, \"b\": 3968, \"c\": 6834, \"d\": -2118, \"e\": 32637}", "seed": "7343365281179762339", "semantic_fingerprint": "sha256:504739fddb38071c1e0c6b4d3963bf4d49846d91ffa1b8b65eaf946f5dfd1c1b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000760", "prompt": "What is 6627 / (5100 - 88228) - 88030?", "solution_steps": ["Subtract: 5100 - 88228 = -83128", "Divide: 6627 / (-83128) = -6627/83128", "Subtract: -6627/83128 - 88030 = -7317764467/83128"], "final_answer": "-7317764467/83128", "answer_type": "rational", "kind": "expression", "math_text": "6627 / (5100 - 88228) - 88030", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6627, \"b\": 5100, \"c\": 88228, \"d\": 88030}", "seed": "4285755576286937516", "semantic_fingerprint": "sha256:3868c185809e0f64da5df5b896e94433a647408c2bbcfe92db4449dd7868cf34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000761", "prompt": "Solve the equation x = 34(x - 1315) + 15832 for x.", "solution_steps": ["Expand: x = 34x - 44710 + 15832", "Combine constants: x = 34x - 28878", "Subtract 34x from both sides: -33x = -28878", "Divide both sides by -33: x = 9626/11"], "final_answer": "9626/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 34(x - 1315) + 15832", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 1315, \"c\": 15832}", "seed": "2262874178498034579", "semantic_fingerprint": "sha256:84983caeb11eb91750f304e790325c8258412f9ee9bbce4b03643433a28a609c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000762", "prompt": "What is -1731 * 11052 / 9911 + 6542?", "solution_steps": ["Multiply: -1731 * 11052 = -19131012", "Divide: -19131012 / 9911 = -19131012/9911", "Add: -19131012/9911 + 6542 = 45706750/9911"], "final_answer": "45706750/9911", "answer_type": "rational", "kind": "expression", "math_text": "-1731 * 11052 / 9911 + 6542", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1731, \"b\": 11052, \"c\": 9911, \"d\": 6542}", "seed": "14755652618591991464", "semantic_fingerprint": "sha256:8ca1022ddf6b6e0045b4c9ea0f677ed0eebe8ea609c120c114286d6bf83b63c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000763", "prompt": "Solve the equation 32x = 40(x - 22285) + 13184 for x.", "solution_steps": ["Expand: 32x = 40x - 891400 + 13184", "Combine constants: 32x = 40x - 878216", "Subtract 40x from both sides: -8x = -878216", "Divide both sides by -8: x = 109777"], "final_answer": "109777", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = 40(x - 22285) + 13184", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 40, \"c\": 22285, \"d\": 13184}", "seed": "7667781033131136741", "semantic_fingerprint": "sha256:5cdb8ca71817da50f866dcb343201894de5b99f618e210b47452c37bcfcaec70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000764", "prompt": "Evaluate: -6674 + 12263", "solution_steps": ["Add: -6674 + 12263 = 5589"], "final_answer": "5589", "answer_type": "integer", "kind": "expression", "math_text": "-6674 + 12263", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6674, \"b\": 12263}", "seed": "10102460093400264420", "semantic_fingerprint": "sha256:2e8fa14624d6c540b9c59564809bbf76cb4d8c69a65aedb19d306e70976f2122", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000765", "prompt": "Compute: -22141 - 36964 - (-4082)", "solution_steps": ["Subtract: -22141 - 36964 = -59105", "Subtract: -59105 - (-4082) = -55023"], "final_answer": "-55023", "answer_type": "integer", "kind": "expression", "math_text": "-22141 - 36964 - (-4082)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22141, \"b\": 36964, \"c\": -4082}", "seed": "16695839276063721409", "semantic_fingerprint": "sha256:5ba7f6664e0b062a4af32f533f49fcf7c014080bb6d3457ccfa8d5d5dc342bae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000766", "prompt": "Calculate: -9491 - 6293 * (-8654)", "solution_steps": ["Multiply: 6293 * (-8654) = -54459622", "Subtract: -9491 - (-54459622) = 54450131"], "final_answer": "54450131", "answer_type": "integer", "kind": "expression", "math_text": "-9491 - 6293 * (-8654)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9491, \"b\": 6293, \"c\": -8654}", "seed": "1638732930591132264", "semantic_fingerprint": "sha256:e4723f7c21fbe35f9dbcd16db681b5890d70c11eaf818b72cb7b37bfb8c412d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000767", "prompt": "Calculate: 4104 + 1624 * 5649", "solution_steps": ["Multiply: 1624 * 5649 = 9173976", "Add: 4104 + 9173976 = 9178080"], "final_answer": "9178080", "answer_type": "integer", "kind": "expression", "math_text": "4104 + 1624 * 5649", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4104, \"b\": 1624, \"c\": 5649}", "seed": "7172401567500097574", "semantic_fingerprint": "sha256:ef05f500236155e175f7ed60e89b91303c834f0d0e0ed256f7fce848667f2237", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000768", "prompt": "Solve for x: -20(x - 34736) = -18(x + 57036)", "solution_steps": ["Expand: -20x + 694720 = -18(x + 57036)", "Expand: -20x + 694720 = -18x - 1026648", "Add 18x to both sides: -2x + 694720 = -1026648", "Subtract 694720 from both sides: -2x = -1721368", "Divide both sides by -2: x = 860684"], "final_answer": "860684", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x - 34736) = -18(x + 57036)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 34736, \"c\": -18, \"d\": 57036}", "seed": "564933145917913840", "semantic_fingerprint": "sha256:33b966dc35b0a9585d08fc1911e80d7fa4282b124a81a6ccb770ca4cd71aeb02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000769", "prompt": "What is -29559 / (-3129 - (-8524))?", "solution_steps": ["Subtract: -3129 - (-8524) = 5395", "Divide: -29559 / 5395 = -29559/5395"], "final_answer": "-29559/5395", "answer_type": "rational", "kind": "expression", "math_text": "-29559 / (-3129 - (-8524))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29559, \"b\": -3129, \"c\": -8524}", "seed": "12863510032352921681", "semantic_fingerprint": "sha256:95a7e0237d3ce9f8b6c6164cda0db2ceaf37fb83a83abb7f48819207e8d2a96c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000770", "prompt": "What is -4847 * 68277?", "solution_steps": ["Multiply: -4847 * 68277 = -330938619"], "final_answer": "-330938619", "answer_type": "integer", "kind": "expression", "math_text": "-4847 * 68277", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4847, \"b\": 68277}", "seed": "13867374365201925622", "semantic_fingerprint": "sha256:7cdfdb9c13175973af44f1028e9c2fa4887ee063a0a6a45a4d055888e6c56f5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000771", "prompt": "Compute: 9099 - 4200", "solution_steps": ["Subtract: 9099 - 4200 = 4899"], "final_answer": "4899", "answer_type": "integer", "kind": "expression", "math_text": "9099 - 4200", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9099, \"b\": 4200}", "seed": "2940668003693069314", "semantic_fingerprint": "sha256:157dbb9f14262d1566a4be2e620ecf2f013cbb2d3fe28e2d620c5914022ebd94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000772", "prompt": "Find x: 20(x - 2018) + 41830 = 34x", "solution_steps": ["Expand: 20x - 40360 + 41830 = 34x", "Combine constants: 20x + 1470 = 34x", "Subtract 34x from both sides: -14x + 1470 = 0", "Subtract 1470 from both sides: -14x = -1470", "Divide both sides by -14: x = 105"], "final_answer": "105", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 2018) + 41830 = 34x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 2018, \"c\": 34, \"e\": 41830, \"x\": 105}", "seed": "16835288854991847735", "semantic_fingerprint": "sha256:cee7fd0b6f671955d386a93a22d2cb334301c311a192311307d68b2675130779", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000773", "prompt": "Evaluate: 38646 * (98478 / (-7224))", "solution_steps": ["Divide: 98478 / (-7224) = -16413/1204", "Multiply: 38646 * (-16413/1204) = -317148399/602"], "final_answer": "-317148399/602", "answer_type": "rational", "kind": "expression", "math_text": "38646 * (98478 / (-7224))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38646, \"b\": 98478, \"c\": -7224}", "seed": "1675337401356208708", "semantic_fingerprint": "sha256:1ef06944911d0e5c4ed8f94bf60bfd32617cdde8be165dc85c7ce226e39d5ec6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000774", "prompt": "Calculate: -15641 - (5647 + 5989)", "solution_steps": ["Add: 5647 + 5989 = 11636", "Subtract: -15641 - 11636 = -27277"], "final_answer": "-27277", "answer_type": "integer", "kind": "expression", "math_text": "-15641 - (5647 + 5989)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15641, \"b\": 5647, \"c\": 5989}", "seed": "7941608570060177638", "semantic_fingerprint": "sha256:a71f188fc710c76e69a464c54a01177e3a31f7340ed6230c90357d63cdf077e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000775", "prompt": "Find x: x = -28(x - 9632)", "solution_steps": ["Expand: x = -28x + 269696", "Add 28x to both sides: 29x = 269696", "Divide both sides by 29: x = 269696/29"], "final_answer": "269696/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -28(x - 9632)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 9632}", "seed": "660969760213043029", "semantic_fingerprint": "sha256:589c4e39110e007345f3aa8600fad17fc59d5afab6c582dc766187ecf4cbb550", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000776", "prompt": "What is 20749 - (-9567 - 9660) + 9566 / 95642?", "solution_steps": ["Subtract: -9567 - 9660 = -19227", "Subtract: 20749 - (-19227) = 39976", "Divide: 9566 / 95642 = 4783/47821", "Add: 39976 + 4783/47821 = 1911697079/47821"], "final_answer": "1911697079/47821", "answer_type": "rational", "kind": "expression", "math_text": "20749 - (-9567 - 9660) + 9566 / 95642", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20749, \"b\": -9567, \"c\": 9660, \"d\": 9566, \"e\": 95642}", "seed": "7529617361039900292", "semantic_fingerprint": "sha256:cfd20f7c7cacfda14eb0e98b76beab42332192b396ea0f0eec2c9e200387fd98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000777", "prompt": "Compute: 9397 / 1901 * (-80517)", "solution_steps": ["Divide: 9397 / 1901 = 9397/1901", "Multiply: (9397/1901) * (-80517) = -756618249/1901"], "final_answer": "-756618249/1901", "answer_type": "rational", "kind": "expression", "math_text": "9397 / 1901 * (-80517)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9397, \"b\": 1901, \"c\": -80517}", "seed": "17240502143079447123", "semantic_fingerprint": "sha256:166879885c10593a9041ae0c1fc7521c1b403c730f82a89fad2675967b5af214", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000778", "prompt": "Compute: -5489 * (-6167)", "solution_steps": ["Multiply: -5489 * (-6167) = 33850663"], "final_answer": "33850663", "answer_type": "integer", "kind": "expression", "math_text": "-5489 * (-6167)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5489, \"b\": -6167}", "seed": "112137766590356934", "semantic_fingerprint": "sha256:ebcbb241d8b90d0e5d5e84eccb29dd566e9890611022e4e446506a8b69e477a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000779", "prompt": "What value of x satisfies -40x - 8830 = -23(x - 5276) + 5180?", "solution_steps": ["Expand: -40x - 8830 = -23x + 121348 + 5180", "Combine constants: -40x - 8830 = -23x + 126528", "Add 23x to both sides: -17x - 8830 = 126528", "Add 8830 to both sides: -17x = 135358", "Divide both sides by -17: x = -135358/17"], "final_answer": "-135358/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40x - 8830 = -23(x - 5276) + 5180", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 8830, \"c\": -23, \"d\": 5276, \"e\": 5180}", "seed": "17264870583957065485", "semantic_fingerprint": "sha256:0e800463b18633f90d2f1134bc0bacef8648b5ae823bbe14c08167b5adeff8b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000780", "prompt": "Evaluate: 1818 + 6744 + 76219", "solution_steps": ["Add: 1818 + 6744 = 8562", "Add: 8562 + 76219 = 84781"], "final_answer": "84781", "answer_type": "integer", "kind": "expression", "math_text": "1818 + 6744 + 76219", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1818, \"b\": 6744, \"c\": 76219}", "seed": "10914994287193426935", "semantic_fingerprint": "sha256:ad72ce392ca302f279152bd27eb52acd47775bf99c1e0ef88f6a7ba35c8098c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000781", "prompt": "Evaluate: -3902 * (-69957 - (-4575)) - (-75547 + (-5372))", "solution_steps": ["Subtract: -69957 - (-4575) = -65382", "Multiply: -3902 * (-65382) = 255120564", "Add: -75547 + (-5372) = -80919", "Subtract: 255120564 - (-80919) = 255201483"], "final_answer": "255201483", "answer_type": "integer", "kind": "expression", "math_text": "-3902 * (-69957 - (-4575)) - (-75547 + (-5372))", "variable": null, "family": "expression_4op", "shape": "(- (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3902, \"b\": -69957, \"c\": -4575, \"d\": -75547, \"e\": -5372}", "seed": "9955336068143002946", "semantic_fingerprint": "sha256:73a00720cad0f928acbc805f3d149caafcd2063bb34a711cfa5639adec81d8bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000782", "prompt": "Calculate: (52206 - 6192) / 8886", "solution_steps": ["Subtract: 52206 - 6192 = 46014", "Divide: 46014 / 8886 = 7669/1481"], "final_answer": "7669/1481", "answer_type": "rational", "kind": "expression", "math_text": "(52206 - 6192) / 8886", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52206, \"b\": 6192, \"c\": 8886}", "seed": "9330124308189175478", "semantic_fingerprint": "sha256:1519b7e1061f5b646981ffa2ea61914a96c7adda8d91cfa5d5080eb0aba1e137", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000783", "prompt": "Find x: -24(x + 9120) = 28(x - 2708)", "solution_steps": ["Expand: -24x - 218880 = 28(x - 2708)", "Expand: -24x - 218880 = 28x - 75824", "Subtract 28x from both sides: -52x - 218880 = -75824", "Add 218880 to both sides: -52x = 143056", "Divide both sides by -52: x = -35764/13"], "final_answer": "-35764/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 9120) = 28(x - 2708)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 9120, \"c\": 28, \"d\": 2708}", "seed": "11228748597076040233", "semantic_fingerprint": "sha256:40ea8fef305020a5902f1e0ad245932eb68d3d9c941ef127b3ac6abe501f3377", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000784", "prompt": "Calculate: (11442 - 5483 - (-83431) - 5910) / (-42125 - 7066)", "solution_steps": ["Subtract: 11442 - 5483 = 5959", "Subtract: 5959 - (-83431) = 89390", "Subtract: 89390 - 5910 = 83480", "Subtract: -42125 - 7066 = -49191", "Divide: 83480 / (-49191) = -83480/49191"], "final_answer": "-83480/49191", "answer_type": "rational", "kind": "expression", "math_text": "(11442 - 5483 - (-83431) - 5910) / (-42125 - 7066)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 11442, \"b\": 5483, \"c\": -83431, \"d\": 5910, \"e\": -42125, \"f\": 7066}", "seed": "1189794872021607167", "semantic_fingerprint": "sha256:625b1d2bc92609ac1851dc7c3e87148ae20c581ae2a82012bb9c1d10f94f2016", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000785", "prompt": "What is -35106 * (-4736 + 89922 - (-50575))?", "solution_steps": ["Add: -4736 + 89922 = 85186", "Subtract: 85186 - (-50575) = 135761", "Multiply: -35106 * 135761 = -4766025666"], "final_answer": "-4766025666", "answer_type": "integer", "kind": "expression", "math_text": "-35106 * (-4736 + 89922 - (-50575))", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35106, \"b\": -4736, \"c\": 89922, \"d\": -50575}", "seed": "8040374479718429185", "semantic_fingerprint": "sha256:41e2dcc218be028d697962f77e995f0ba9fc578ee98164c30db6f40f23f40d8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000786", "prompt": "Find x: 40(x - 35906) = 30(x - 5665)", "solution_steps": ["Expand: 40x - 1436240 = 30(x - 5665)", "Expand: 40x - 1436240 = 30x - 169950", "Subtract 30x from both sides: 10x - 1436240 = -169950", "Add 1436240 to both sides: 10x = 1266290", "Divide both sides by 10: x = 126629"], "final_answer": "126629", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 35906) = 30(x - 5665)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 35906, \"c\": 30, \"d\": 5665}", "seed": "14601593985269372872", "semantic_fingerprint": "sha256:75286bd20a6a9712ccef4fa2242b400cbdd7138e6f045c147010d7581322d480", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000787", "prompt": "Compute: 3316 - (-3794) + (-84336)", "solution_steps": ["Subtract: 3316 - (-3794) = 7110", "Add: 7110 + (-84336) = -77226"], "final_answer": "-77226", "answer_type": "integer", "kind": "expression", "math_text": "3316 - (-3794) + (-84336)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3316, \"b\": -3794, \"c\": -84336}", "seed": "1153281396354837708", "semantic_fingerprint": "sha256:15fcaa8f0c169c3543041b902b31de3e4e855fba0ba96558fa1edf304f642fc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000788", "prompt": "What is (-6801 + (-3855)) / 1307?", "solution_steps": ["Add: -6801 + (-3855) = -10656", "Divide: -10656 / 1307 = -10656/1307"], "final_answer": "-10656/1307", "answer_type": "rational", "kind": "expression", "math_text": "(-6801 + (-3855)) / 1307", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6801, \"b\": -3855, \"c\": 1307}", "seed": "7584797577848163406", "semantic_fingerprint": "sha256:da78431273b3ac5e52f8e45cdf059786b96dff533c0309c0ecbd821345cd950d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000789", "prompt": "Compute: -89827 / 2879 * (-8161)", "solution_steps": ["Divide: -89827 / 2879 = -89827/2879", "Multiply: (-89827/2879) * (-8161) = 733078147/2879"], "final_answer": "733078147/2879", "answer_type": "rational", "kind": "expression", "math_text": "-89827 / 2879 * (-8161)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89827, \"b\": 2879, \"c\": -8161}", "seed": "11077756087106383593", "semantic_fingerprint": "sha256:ac7b75a4d7ad333f160c2d8efdbe9e5aa2c7f8cb2d04d4825fded8d706821b70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000790", "prompt": "Evaluate: (-6792 - 78288) * (-98047)", "solution_steps": ["Subtract: -6792 - 78288 = -85080", "Multiply: -85080 * (-98047) = 8341838760"], "final_answer": "8341838760", "answer_type": "integer", "kind": "expression", "math_text": "(-6792 - 78288) * (-98047)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6792, \"b\": 78288, \"c\": -98047}", "seed": "3564011712975709807", "semantic_fingerprint": "sha256:014761cac08466b6d25028b84941405c84d1aa6701cf32ee042c505ed69580a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000791", "prompt": "Compute: 8581 * (-18487) - (-9270)", "solution_steps": ["Multiply: 8581 * (-18487) = -158636947", "Subtract: -158636947 - (-9270) = -158627677"], "final_answer": "-158627677", "answer_type": "integer", "kind": "expression", "math_text": "8581 * (-18487) - (-9270)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8581, \"b\": -18487, \"c\": -9270}", "seed": "6796930534624205876", "semantic_fingerprint": "sha256:2c59485c6701cbb6a184614cee43a78e9526019bd356437469f68c7ecdde1cf1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000792", "prompt": "What value of x satisfies 31(x - 36414) - 5754 = 24(x + 42037)?", "solution_steps": ["Expand: 31x - 1128834 - 5754 = 24(x + 42037)", "Expand: 31x - 1128834 - 5754 = 24x + 1008888", "Combine constants: 31x - 1134588 = 24x + 1008888", "Subtract 24x from both sides: 7x - 1134588 = 1008888", "Add 1134588 to both sides: 7x = 2143476", "Divide both sides by 7: x = 2143476/7"], "final_answer": "2143476/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 36414) - 5754 = 24(x + 42037)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 36414, \"c\": 5754, \"d\": 24, \"e\": 42037}", "seed": "11634804708872177024", "semantic_fingerprint": "sha256:70d78abf89baf164cd818bb6f96e8b26a2a80f46e0c5eb94bf1f6976fdf19886", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000793", "prompt": "Compute: (-7576 - (-9147)) * (-2979) - (-9008 - (-1052))", "solution_steps": ["Subtract: -7576 - (-9147) = 1571", "Multiply: 1571 * (-2979) = -4680009", "Subtract: -9008 - (-1052) = -7956", "Subtract: -4680009 - (-7956) = -4672053"], "final_answer": "-4672053", "answer_type": "integer", "kind": "expression", "math_text": "(-7576 - (-9147)) * (-2979) - (-9008 - (-1052))", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7576, \"b\": -9147, \"c\": -2979, \"d\": -9008, \"e\": -1052}", "seed": "105983531294095608", "semantic_fingerprint": "sha256:bdae5915dc23bb3c67b4368f9cd87bc8c47e3825aee8818b218b739484d4c487", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000794", "prompt": "What is 8839 + (-78528)?", "solution_steps": ["Add: 8839 + (-78528) = -69689"], "final_answer": "-69689", "answer_type": "integer", "kind": "expression", "math_text": "8839 + (-78528)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8839, \"b\": -78528}", "seed": "11140805949236233579", "semantic_fingerprint": "sha256:d540b71a5c9f3e8378bce844a332c36290d7d7dfc57c4dbcf0bbae9acf3529cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000795", "prompt": "Solve for x: -37(x + 42366) - 9624 = 14(x - 6449)", "solution_steps": ["Expand: -37x - 1567542 - 9624 = 14(x - 6449)", "Expand: -37x - 1567542 - 9624 = 14x - 90286", "Combine constants: -37x - 1577166 = 14x - 90286", "Subtract 14x from both sides: -51x - 1577166 = -90286", "Add 1577166 to both sides: -51x = 1486880", "Divide both sides by -51: x = -1486880/51"], "final_answer": "-1486880/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 42366) - 9624 = 14(x - 6449)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 42366, \"c\": 9624, \"d\": 14, \"e\": 6449}", "seed": "6034308955343445029", "semantic_fingerprint": "sha256:f390a8b8007461d1d5c24c95bd49ec4d96fa10687c738a6914eedc1ef13927d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000796", "prompt": "Compute: -5091 * (-4258) / 8987", "solution_steps": ["Multiply: -5091 * (-4258) = 21677478", "Divide: 21677478 / 8987 = 21677478/8987"], "final_answer": "21677478/8987", "answer_type": "rational", "kind": "expression", "math_text": "-5091 * (-4258) / 8987", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5091, \"b\": -4258, \"c\": 8987}", "seed": "9359856405743366539", "semantic_fingerprint": "sha256:5d12d2bff986eac4c5c599bd65d7c763ea9120518326a040869a630a061c9abe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000797", "prompt": "Evaluate: -2357 - 2960 + (-7271 + 89902)", "solution_steps": ["Subtract: -2357 - 2960 = -5317", "Add: -7271 + 89902 = 82631", "Add: -5317 + 82631 = 77314"], "final_answer": "77314", "answer_type": "integer", "kind": "expression", "math_text": "-2357 - 2960 + (-7271 + 89902)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2357, \"b\": 2960, \"c\": -7271, \"d\": 89902}", "seed": "4102717936516596784", "semantic_fingerprint": "sha256:16dc6a2398a4ca9286d8c8123bcc45ce7286c59a9c8abd67988a5d5ff4a71590", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000798", "prompt": "Calculate: 1374 - (58665 + 2245 + (-1704))", "solution_steps": ["Add: 58665 + 2245 = 60910", "Add: 60910 + (-1704) = 59206", "Subtract: 1374 - 59206 = -57832"], "final_answer": "-57832", "answer_type": "integer", "kind": "expression", "math_text": "1374 - (58665 + 2245 + (-1704))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1374, \"b\": 58665, \"c\": 2245, \"d\": -1704}", "seed": "1475513702245111697", "semantic_fingerprint": "sha256:81d7a5543c3fe24fcdc66da13f636cbfa79bf7e20a489d02bf2dca1612071fd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000799", "prompt": "Compute: -2455 * (-5353)", "solution_steps": ["Multiply: -2455 * (-5353) = 13141615"], "final_answer": "13141615", "answer_type": "integer", "kind": "expression", "math_text": "-2455 * (-5353)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2455, \"b\": -5353}", "seed": "13263232284418689983", "semantic_fingerprint": "sha256:af14f3c687261c0a64390f5436d727bd673056e0fb17042507d057301f997d7f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000800", "prompt": "Find x: x + 1086 = 31(x + 56954) + 1257", "solution_steps": ["Expand: x + 1086 = 31x + 1765574 + 1257", "Combine constants: x + 1086 = 31x + 1766831", "Subtract 31x from both sides: -30x + 1086 = 1766831", "Subtract 1086 from both sides: -30x = 1765745", "Divide both sides by -30: x = -353149/6"], "final_answer": "-353149/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1086 = 31(x + 56954) + 1257", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1086, \"b\": 31, \"c\": 56954, \"d\": 1257}", "seed": "16529997846778730443", "semantic_fingerprint": "sha256:52a0844228df1087f5c35ca3c0d820104f992849dd8084fa70d3d8c35fd746be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000801", "prompt": "Compute: 5056 + (-82138)", "solution_steps": ["Add: 5056 + (-82138) = -77082"], "final_answer": "-77082", "answer_type": "integer", "kind": "expression", "math_text": "5056 + (-82138)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5056, \"b\": -82138}", "seed": "13627792183042873140", "semantic_fingerprint": "sha256:fc0b690c03d049cfa5be2624c1328aa72e5dd1edb2c5e1bade59244e28260ccd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000802", "prompt": "Compute: 46902 - 91240", "solution_steps": ["Subtract: 46902 - 91240 = -44338"], "final_answer": "-44338", "answer_type": "integer", "kind": "expression", "math_text": "46902 - 91240", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46902, \"b\": 91240}", "seed": "15486824473541194762", "semantic_fingerprint": "sha256:099f00d29237f0560737b647f5065ba980a72ce1944a7a7300d3a564d5f0c9ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000803", "prompt": "Find x: 26x = 30x", "solution_steps": ["Subtract 30x from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x = 30x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 30}", "seed": "16090881946334673368", "semantic_fingerprint": "sha256:1b8d94d43f290f612d8cbd17b56f20e925acb53d300ea8247cd94a6c1de582af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000804", "prompt": "Calculate: (2314 + 6562) * (-26780 + 2470)", "solution_steps": ["Add: 2314 + 6562 = 8876", "Add: -26780 + 2470 = -24310", "Multiply: 8876 * (-24310) = -215775560"], "final_answer": "-215775560", "answer_type": "integer", "kind": "expression", "math_text": "(2314 + 6562) * (-26780 + 2470)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2314, \"b\": 6562, \"c\": -26780, \"d\": 2470}", "seed": "15217385795438310824", "semantic_fingerprint": "sha256:045b8538b51f502b7923856536e738827a2072b789e1d2e52d48017db93c8ff3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000805", "prompt": "Evaluate: 95401 - (-68432) + (-56525)", "solution_steps": ["Subtract: 95401 - (-68432) = 163833", "Add: 163833 + (-56525) = 107308"], "final_answer": "107308", "answer_type": "integer", "kind": "expression", "math_text": "95401 - (-68432) + (-56525)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95401, \"b\": -68432, \"c\": -56525}", "seed": "12835898054677424903", "semantic_fingerprint": "sha256:8ccd398a134d4975ddeaa29c19292b966761631d72d3af779bdb25d9e64c1565", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000806", "prompt": "Find x: -40(x - 44142) + 4213 = 36x", "solution_steps": ["Expand: -40x + 1765680 + 4213 = 36x", "Combine constants: -40x + 1769893 = 36x", "Subtract 36x from both sides: -76x + 1769893 = 0", "Subtract 1769893 from both sides: -76x = -1769893", "Divide both sides by -76: x = 1769893/76"], "final_answer": "1769893/76", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 44142) + 4213 = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 44142, \"c\": 4213, \"d\": 36}", "seed": "13988701302823153213", "semantic_fingerprint": "sha256:b470e5154123a991f93e171773690e392467fc07bc3d9afb8dc16fe5f190b834", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000807", "prompt": "Find x: -38(x + 6684) + 18763 = x - 6307", "solution_steps": ["Expand: -38x - 253992 + 18763 = x - 6307", "Combine constants: -38x - 235229 = x - 6307", "Subtract x from both sides: -39x - 235229 = -6307", "Add 235229 to both sides: -39x = 228922", "Divide both sides by -39: x = -228922/39"], "final_answer": "-228922/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 6684) + 18763 = x - 6307", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 6684, \"c\": 18763, \"d\": 6307}", "seed": "9656379872831978124", "semantic_fingerprint": "sha256:c6654ffafd169c0f1e6f0308817ede5c74d66518ed8a8208ec7f45137bed5b5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000808", "prompt": "Evaluate: -4707 / (31865 / 8300) * (-1741)", "solution_steps": ["Divide: 31865 / 8300 = 6373/1660", "Divide: -4707 / (6373/1660) = -7813620/6373", "Multiply: (-7813620/6373) * (-1741) = 13603512420/6373"], "final_answer": "13603512420/6373", "answer_type": "rational", "kind": "expression", "math_text": "-4707 / (31865 / 8300) * (-1741)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4707, \"b\": 31865, \"c\": 8300, \"d\": -1741}", "seed": "14066398911848055472", "semantic_fingerprint": "sha256:65ecd595eca3f465e1703c28e0941fea059755446c45212582cabb88c8aea858", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000809", "prompt": "Find x: -38(x + 9219) - 4657 = 23(x - 60282)", "solution_steps": ["Expand: -38x - 350322 - 4657 = 23(x - 60282)", "Expand: -38x - 350322 - 4657 = 23x - 1386486", "Combine constants: -38x - 354979 = 23x - 1386486", "Subtract 23x from both sides: -61x - 354979 = -1386486", "Add 354979 to both sides: -61x = -1031507", "Divide both sides by -61: x = 1031507/61"], "final_answer": "1031507/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 9219) - 4657 = 23(x - 60282)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 9219, \"c\": 4657, \"d\": 23, \"e\": 60282}", "seed": "10607222164845003875", "semantic_fingerprint": "sha256:b86846763bfd0ef86b7c0e287f234e427f199c02909dc50caf27426f21edb812", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000810", "prompt": "Evaluate: 4867 * (-6856) / (-5142)", "solution_steps": ["Multiply: 4867 * (-6856) = -33368152", "Divide: -33368152 / (-5142) = 19468/3"], "final_answer": "19468/3", "answer_type": "rational", "kind": "expression", "math_text": "4867 * (-6856) / (-5142)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4867, \"b\": -6856, \"c\": -5142}", "seed": "15423736687780048722", "semantic_fingerprint": "sha256:3dedf53ec58dfa9493f7e7dd3f8020923c0fbfba9c15bde4dfe8a2ce5d86d3d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000811", "prompt": "Solve for x: -27(x - 4109) + 3993 = -26(x + 36022) + 72132", "solution_steps": ["Expand: -27x + 110943 + 3993 = -26(x + 36022) + 72132", "Expand: -27x + 110943 + 3993 = -26x - 936572 + 72132", "Combine constants: -27x + 114936 = -26x - 936572 + 72132", "Combine constants: -27x + 114936 = -26x - 864440", "Add 26x to both sides: -x + 114936 = -864440", "Subtract 114936 from both sides: -x = -979376", "Divide both sides by -1: x = 979376"], "final_answer": "979376", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x - 4109) + 3993 = -26(x + 36022) + 72132", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 4109, \"c\": 3993, \"d\": -26, \"e\": 36022, \"f\": 72132}", "seed": "11490424039030138427", "semantic_fingerprint": "sha256:dc2f4b761ff265659156c97203f4b8f609690839ea60c3d7166e8d8882b8f163", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000812", "prompt": "What is -6997 + (-6905 - (-8214))?", "solution_steps": ["Subtract: -6905 - (-8214) = 1309", "Add: -6997 + 1309 = -5688"], "final_answer": "-5688", "answer_type": "integer", "kind": "expression", "math_text": "-6997 + (-6905 - (-8214))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6997, \"b\": -6905, \"c\": -8214}", "seed": "12280616124858650122", "semantic_fingerprint": "sha256:ebbd7d022d3df3e53ce6c12b90c235fe995b8caff2eb30ae7e4d2327679a34cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000813", "prompt": "Solve for x: 26x + 6139 = 31(x + 6502)", "solution_steps": ["Expand: 26x + 6139 = 31x + 201562", "Subtract 31x from both sides: -5x + 6139 = 201562", "Subtract 6139 from both sides: -5x = 195423", "Divide both sides by -5: x = -195423/5"], "final_answer": "-195423/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 6139 = 31(x + 6502)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 6139, \"c\": 31, \"d\": 6502}", "seed": "13734026245830824599", "semantic_fingerprint": "sha256:87e369c10edd2b7da8cadcb7d8c613482fe794a6df3aa487ce2abc5453980e00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000814", "prompt": "Solve for x: -16(x - 25178) = 3090", "solution_steps": ["Expand: -16x + 402848 = 3090", "Subtract 402848 from both sides: -16x = -399758", "Divide both sides by -16: x = 199879/8"], "final_answer": "199879/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x - 25178) = 3090", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 25178, \"c\": 3090}", "seed": "8381375031339706397", "semantic_fingerprint": "sha256:e0faacd1708920561be46debd14681b25899109d4fd90138f6821635d225312b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000815", "prompt": "Solve the equation 18(x - 97363) + 11292 = x + 4917 for x.", "solution_steps": ["Expand: 18x - 1752534 + 11292 = x + 4917", "Combine constants: 18x - 1741242 = x + 4917", "Subtract x from both sides: 17x - 1741242 = 4917", "Add 1741242 to both sides: 17x = 1746159", "Divide both sides by 17: x = 1746159/17"], "final_answer": "1746159/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x - 97363) + 11292 = x + 4917", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 97363, \"c\": 11292, \"d\": 4917}", "seed": "8132849142364777896", "semantic_fingerprint": "sha256:98040cb5f400ddecc28140175c536312b55433fe5347e9d7ced2c3021ff38872", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000816", "prompt": "What is 5053 - (-78850)?", "solution_steps": ["Subtract: 5053 - (-78850) = 83903"], "final_answer": "83903", "answer_type": "integer", "kind": "expression", "math_text": "5053 - (-78850)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5053, \"b\": -78850}", "seed": "227515020009509529", "semantic_fingerprint": "sha256:0bf1510b518acf3f9c345df6cc2f4a1a2e60c0baad0eb1dad9a2771d0ecada97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000817", "prompt": "Solve the equation x + 1523 = 34x for x.", "solution_steps": ["Subtract 34x from both sides: -33x + 1523 = 0", "Subtract 1523 from both sides: -33x = -1523", "Divide both sides by -33: x = 1523/33"], "final_answer": "1523/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1523 = 34x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1523, \"b\": 34}", "seed": "1173868314626951837", "semantic_fingerprint": "sha256:f58c8c6d5c18ce5e9c34c983d0bc1ab7eb7657b5ad3a7f6f62fbceb4802b9379", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000818", "prompt": "Find x: 39x + 40068 = -20x + 38062", "solution_steps": ["Add 20x to both sides: 59x + 40068 = 38062", "Subtract 40068 from both sides: 59x = -2006", "Divide both sides by 59: x = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 40068 = -20x + 38062", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 40068, \"c\": -20, \"e\": 38062, \"x\": -34}", "seed": "8308721760040352164", "semantic_fingerprint": "sha256:87c29026244f91566f547435a9909f0c4092499af5b9f96199f9a24e1b80cb7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000819", "prompt": "What value of x satisfies x + 38840 = -34(x - 1340)?", "solution_steps": ["Expand: x + 38840 = -34x + 45560", "Add 34x to both sides: 35x + 38840 = 45560", "Subtract 38840 from both sides: 35x = 6720", "Divide both sides by 35: x = 192"], "final_answer": "192", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 38840 = -34(x - 1340)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 1340, \"d\": 38840, \"x\": 192}", "seed": "11754065882901259158", "semantic_fingerprint": "sha256:158b7b20a0e3d5eabfd5ef0646bff287b1d08daf9a18e40515807de34697a964", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000820", "prompt": "What is -3069 - (-2502) + (-9319) * (9921 / (-3618))?", "solution_steps": ["Subtract: -3069 - (-2502) = -567", "Divide: 9921 / (-3618) = -3307/1206", "Multiply: -9319 * (-3307/1206) = 30817933/1206", "Add: -567 + 30817933/1206 = 30134131/1206"], "final_answer": "30134131/1206", "answer_type": "rational", "kind": "expression", "math_text": "-3069 - (-2502) + (-9319) * (9921 / (-3618))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3069, \"b\": -2502, \"c\": -9319, \"d\": 9921, \"e\": -3618}", "seed": "9216425962226154935", "semantic_fingerprint": "sha256:a659c5975aef4a4c073a9d96f12003e37619ea518fdbec103c88df26ae1b1302", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000821", "prompt": "Solve the equation x = 37(x - 9214) for x.", "solution_steps": ["Expand: x = 37x - 340918", "Subtract 37x from both sides: -36x = -340918", "Divide both sides by -36: x = 170459/18"], "final_answer": "170459/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x - 9214)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 9214}", "seed": "16583165702525888643", "semantic_fingerprint": "sha256:bab5f413d395688020620322b0a51b605a0a6cccfbf07503a18295214d298203", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000822", "prompt": "Solve the equation 14(x + 61905) + 1372 = 25(x - 9015) for x.", "solution_steps": ["Expand: 14x + 866670 + 1372 = 25(x - 9015)", "Expand: 14x + 866670 + 1372 = 25x - 225375", "Combine constants: 14x + 868042 = 25x - 225375", "Subtract 25x from both sides: -11x + 868042 = -225375", "Subtract 868042 from both sides: -11x = -1093417", "Divide both sides by -11: x = 1093417/11"], "final_answer": "1093417/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 61905) + 1372 = 25(x - 9015)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 61905, \"c\": 1372, \"d\": 25, \"e\": 9015}", "seed": "17030466813239067001", "semantic_fingerprint": "sha256:32998a97f9bb61ce4043572d147cf0bbd38570d9e9d5048b0dc7625579bb8216", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000823", "prompt": "Find x: 27(x + 9018) = x", "solution_steps": ["Expand: 27x + 243486 = x", "Subtract x from both sides: 26x + 243486 = 0", "Subtract 243486 from both sides: 26x = -243486", "Divide both sides by 26: x = -121743/13"], "final_answer": "-121743/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 9018) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 9018}", "seed": "15617875036201747149", "semantic_fingerprint": "sha256:639e9041ea6090a76189ac45a02fac7da260b7396996ae6f2598061756af7f29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000824", "prompt": "Evaluate: 7962 / 39206", "solution_steps": ["Divide: 7962 / 39206 = 3981/19603"], "final_answer": "3981/19603", "answer_type": "rational", "kind": "expression", "math_text": "7962 / 39206", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7962, \"b\": 39206}", "seed": "17575271411490434695", "semantic_fingerprint": "sha256:702682f07d7913229df500608826e2f1f7c100e536516fee6828e81c1bb7a24c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000825", "prompt": "What is -9874 / (20089 + (-63368)) - (6580 - 9470)?", "solution_steps": ["Add: 20089 + (-63368) = -43279", "Divide: -9874 / (-43279) = 9874/43279", "Subtract: 6580 - 9470 = -2890", "Subtract: 9874/43279 - (-2890) = 125086184/43279"], "final_answer": "125086184/43279", "answer_type": "rational", "kind": "expression", "math_text": "-9874 / (20089 + (-63368)) - (6580 - 9470)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9874, \"b\": 20089, \"c\": -63368, \"d\": 6580, \"e\": 9470}", "seed": "1913004072140024444", "semantic_fingerprint": "sha256:4491cfa3ca537df48e8f9441d99683e25f1f85ae3be06c4e1f9ad9700adb9c12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000826", "prompt": "What is 96388 * 84003 - (-64087) + (-53793)?", "solution_steps": ["Multiply: 96388 * 84003 = 8096881164", "Subtract: 8096881164 - (-64087) = 8096945251", "Add: 8096945251 + (-53793) = 8096891458"], "final_answer": "8096891458", "answer_type": "integer", "kind": "expression", "math_text": "96388 * 84003 - (-64087) + (-53793)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96388, \"b\": 84003, \"c\": -64087, \"d\": -53793}", "seed": "3226980804379664493", "semantic_fingerprint": "sha256:df9d46d43924bf2f40b112422adab01027ec4760c72d878070552c124a2bf09f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000827", "prompt": "Evaluate: 9930 / (-3339) * (1631 + 73992)", "solution_steps": ["Divide: 9930 / (-3339) = -3310/1113", "Add: 1631 + 73992 = 75623", "Multiply: (-3310/1113) * 75623 = -250312130/1113"], "final_answer": "-250312130/1113", "answer_type": "rational", "kind": "expression", "math_text": "9930 / (-3339) * (1631 + 73992)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9930, \"b\": -3339, \"c\": 1631, \"d\": 73992}", "seed": "3396880153965515875", "semantic_fingerprint": "sha256:c9040de58dacca50d0afa3c8e11dab163937bc5ed3d5e03ff24d03279b41f79c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000828", "prompt": "Evaluate: -4066 + 71602 - (-37692) / 60096", "solution_steps": ["Add: -4066 + 71602 = 67536", "Divide: -37692 / 60096 = -3141/5008", "Subtract: 67536 - (-3141/5008) = 338223429/5008"], "final_answer": "338223429/5008", "answer_type": "rational", "kind": "expression", "math_text": "-4066 + 71602 - (-37692) / 60096", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4066, \"b\": 71602, \"c\": -37692, \"d\": 60096}", "seed": "10244638782632651390", "semantic_fingerprint": "sha256:8d836fdd1a518835756d121912f12fd4b0e3831c5c439289b923af728b3e5245", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000829", "prompt": "Solve the equation -17x + 35855 = x - 83967 for x.", "solution_steps": ["Subtract x from both sides: -18x + 35855 = -83967", "Subtract 35855 from both sides: -18x = -119822", "Divide both sides by -18: x = 59911/9"], "final_answer": "59911/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x + 35855 = x - 83967", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 35855, \"c\": 83967}", "seed": "16379040323513057849", "semantic_fingerprint": "sha256:76191083300168696d6e836e972db6fa2200057fd7ccc630ec92c364a6e49b46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000830", "prompt": "Compute: 3780 - 2422", "solution_steps": ["Subtract: 3780 - 2422 = 1358"], "final_answer": "1358", "answer_type": "integer", "kind": "expression", "math_text": "3780 - 2422", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3780, \"b\": 2422}", "seed": "7702855954047098768", "semantic_fingerprint": "sha256:ecf786c8b66b8eabc40a8a3a9239a9f4de9e1a5ba3de0704c2b2120cd6fe6a4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000831", "prompt": "Solve for x: 33(x - 1628) = x - 54876", "solution_steps": ["Expand: 33x - 53724 = x - 54876", "Subtract x from both sides: 32x - 53724 = -54876", "Add 53724 to both sides: 32x = -1152", "Divide both sides by 32: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 1628) = x - 54876", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1628, \"d\": -54876, \"x\": -36}", "seed": "13760630536247272784", "semantic_fingerprint": "sha256:f496969ccd8aa2c479e68bbb84348c2de51473bedbb5045473aa66a8005fbd4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000832", "prompt": "What value of x satisfies x - 55711 = 29(x + 10670)?", "solution_steps": ["Expand: x - 55711 = 29x + 309430", "Subtract 29x from both sides: -28x - 55711 = 309430", "Add 55711 to both sides: -28x = 365141", "Divide both sides by -28: x = -52163/4"], "final_answer": "-52163/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 55711 = 29(x + 10670)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55711, \"b\": 29, \"c\": 10670}", "seed": "8208344827276333812", "semantic_fingerprint": "sha256:307c37f069743012428b94b4149812d5e1c4f2aec545ee81da553892b37d4881", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000833", "prompt": "What is 40205 * (-8230 / (-76912))?", "solution_steps": ["Divide: -8230 / (-76912) = 4115/38456", "Multiply: 40205 * (4115/38456) = 15040325/3496"], "final_answer": "15040325/3496", "answer_type": "rational", "kind": "expression", "math_text": "40205 * (-8230 / (-76912))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40205, \"b\": -8230, \"c\": -76912}", "seed": "9529178230845161705", "semantic_fingerprint": "sha256:ac8227f32c0b05eaf0554345157dcdc9e1f9d8f1337526797d04efefe8257382", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000834", "prompt": "What value of x satisfies x + 4742 = 34(x + 20169) + 4115?", "solution_steps": ["Expand: x + 4742 = 34x + 685746 + 4115", "Combine constants: x + 4742 = 34x + 689861", "Subtract 34x from both sides: -33x + 4742 = 689861", "Subtract 4742 from both sides: -33x = 685119", "Divide both sides by -33: x = -228373/11"], "final_answer": "-228373/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4742 = 34(x + 20169) + 4115", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4742, \"b\": 34, \"c\": 20169, \"d\": 4115}", "seed": "16071608349630027325", "semantic_fingerprint": "sha256:fb3fe64f633e6221c3408e1a50b1d30972624c8bb837efed5593bcb9f5cd9da3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000835", "prompt": "Evaluate: -5654 / (-6959) - (-2441)", "solution_steps": ["Divide: -5654 / (-6959) = 5654/6959", "Subtract: 5654/6959 - (-2441) = 16992573/6959"], "final_answer": "16992573/6959", "answer_type": "rational", "kind": "expression", "math_text": "-5654 / (-6959) - (-2441)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5654, \"b\": -6959, \"c\": -2441}", "seed": "8997658267449444727", "semantic_fingerprint": "sha256:b2a04fddd39b716dd930564cf2e41bc9d19528b19562cb0eaeeeae47718fce7f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000836", "prompt": "Solve for x: x = 20x - 3325", "solution_steps": ["Subtract 20x from both sides: -19x = -3325", "Divide both sides by -19: x = 175"], "final_answer": "175", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 20x - 3325", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": -3325, \"x\": 175}", "seed": "7732436806341445691", "semantic_fingerprint": "sha256:6a0c00e0c88287bb9b42378e07671c035bf1659303763e2d9cc886b2643cac1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000837", "prompt": "What is 6735 * 5693?", "solution_steps": ["Multiply: 6735 * 5693 = 38342355"], "final_answer": "38342355", "answer_type": "integer", "kind": "expression", "math_text": "6735 * 5693", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6735, \"b\": 5693}", "seed": "11645374048657673583", "semantic_fingerprint": "sha256:101caff496481def8039907ff1b3280d8f5b6994dee06ef868cf479ed52bf710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000838", "prompt": "Compute: 28663 - (-8423 + 51252)", "solution_steps": ["Add: -8423 + 51252 = 42829", "Subtract: 28663 - 42829 = -14166"], "final_answer": "-14166", "answer_type": "integer", "kind": "expression", "math_text": "28663 - (-8423 + 51252)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28663, \"b\": -8423, \"c\": 51252}", "seed": "13209917737733747200", "semantic_fingerprint": "sha256:3dfaa9a68607fbbb0a3b8e03249b36fcb0d8e68de0bd7c98c0c0e46f4c6a82d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000839", "prompt": "Evaluate: -4552 - 9076 + (-20229) * (-56066)", "solution_steps": ["Subtract: -4552 - 9076 = -13628", "Multiply: -20229 * (-56066) = 1134159114", "Add: -13628 + 1134159114 = 1134145486"], "final_answer": "1134145486", "answer_type": "integer", "kind": "expression", "math_text": "-4552 - 9076 + (-20229) * (-56066)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4552, \"b\": 9076, \"c\": -20229, \"d\": -56066}", "seed": "18058533611749834966", "semantic_fingerprint": "sha256:4853de4b738f4e4dcf57658ab2ce6bca08d901070e455b508805e9185bf96f70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000840", "prompt": "Evaluate: -1646 / (4911 + (-7746)) + (-4185)", "solution_steps": ["Add: 4911 + (-7746) = -2835", "Divide: -1646 / (-2835) = 1646/2835", "Add: 1646/2835 + (-4185) = -11862829/2835"], "final_answer": "-11862829/2835", "answer_type": "rational", "kind": "expression", "math_text": "-1646 / (4911 + (-7746)) + (-4185)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1646, \"b\": 4911, \"c\": -7746, \"d\": -4185}", "seed": "2795733693506739817", "semantic_fingerprint": "sha256:97c06c2190c44188eddf2c145bb9fedddd38d1381defcd40b490cc77efe9e3ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000841", "prompt": "Compute: -91950 * 43616", "solution_steps": ["Multiply: -91950 * 43616 = -4010491200"], "final_answer": "-4010491200", "answer_type": "integer", "kind": "expression", "math_text": "-91950 * 43616", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91950, \"b\": 43616}", "seed": "3003247773203990948", "semantic_fingerprint": "sha256:6d92c6f42b13e7e0defd3b1f398424f8634566e6c23c74165fb5fdef3efd8f32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000842", "prompt": "Solve for x: 15x = 38x + 50675", "solution_steps": ["Subtract 38x from both sides: -23x = 50675", "Divide both sides by -23: x = -50675/23"], "final_answer": "-50675/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = 38x + 50675", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 38, \"c\": 50675}", "seed": "10519608636680408694", "semantic_fingerprint": "sha256:5f6934bae14216ade4bfc42e873e351a6432060cbb0c26a287eb5d943aad63a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000843", "prompt": "Calculate: 9960 * (-82672) + 3727", "solution_steps": ["Multiply: 9960 * (-82672) = -823413120", "Add: -823413120 + 3727 = -823409393"], "final_answer": "-823409393", "answer_type": "integer", "kind": "expression", "math_text": "9960 * (-82672) + 3727", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9960, \"b\": -82672, \"c\": 3727}", "seed": "14908673988569802127", "semantic_fingerprint": "sha256:81db32747ee1427a763b4d2fd924905e0a64a27350541ccdd2de2f7b217fdc02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000844", "prompt": "What value of x satisfies x = -38(x - 8764) - 7218?", "solution_steps": ["Expand: x = -38x + 333032 - 7218", "Combine constants: x = -38x + 325814", "Add 38x to both sides: 39x = 325814", "Divide both sides by 39: x = 325814/39"], "final_answer": "325814/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -38(x - 8764) - 7218", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 8764, \"c\": 7218}", "seed": "7888412704099527131", "semantic_fingerprint": "sha256:887ba077cf69274189696bc735880da86d679fcd88f89349db251497e3c2c5f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000845", "prompt": "What is -7127 * (-55476 + (-59142))?", "solution_steps": ["Add: -55476 + (-59142) = -114618", "Multiply: -7127 * (-114618) = 816882486"], "final_answer": "816882486", "answer_type": "integer", "kind": "expression", "math_text": "-7127 * (-55476 + (-59142))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7127, \"b\": -55476, \"c\": -59142}", "seed": "12913478047760968565", "semantic_fingerprint": "sha256:667420f9303bbaa087bb46e04c99acf7511f163dcc974381f14eefe9759ecbe4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000846", "prompt": "Calculate: -86525 - (-8834 - (-16419)) / (-6055)", "solution_steps": ["Subtract: -8834 - (-16419) = 7585", "Divide: 7585 / (-6055) = -1517/1211", "Subtract: -86525 - (-1517/1211) = -104780258/1211"], "final_answer": "-104780258/1211", "answer_type": "rational", "kind": "expression", "math_text": "-86525 - (-8834 - (-16419)) / (-6055)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86525, \"b\": -8834, \"c\": -16419, \"d\": -6055}", "seed": "14064217217258762415", "semantic_fingerprint": "sha256:db47b985bcf06948232a89b34660ec0524154eb0800d0d7925ac3a75a88d9528", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000847", "prompt": "Compute: 52754 + (-39149)", "solution_steps": ["Add: 52754 + (-39149) = 13605"], "final_answer": "13605", "answer_type": "integer", "kind": "expression", "math_text": "52754 + (-39149)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 52754, \"b\": -39149}", "seed": "12692454486876319627", "semantic_fingerprint": "sha256:4faaab33b2858a4a06bd8dd43a90bff406be3f3e4902e8e2a5c70f0cf38412a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000848", "prompt": "Find x: 33(x - 3265) + 82635 = -24021", "solution_steps": ["Expand: 33x - 107745 + 82635 = -24021", "Combine constants: 33x - 25110 = -24021", "Add 25110 to both sides: 33x = 1089", "Divide both sides by 33: x = 33"], "final_answer": "33", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 3265) + 82635 = -24021", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3265, \"c\": 82635, \"e\": -24021, \"x\": 33}", "seed": "2981386593876411513", "semantic_fingerprint": "sha256:5ec30278c549f887d34b175b75da7f408b93b36b5e977da77935db1b954e90e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000849", "prompt": "Find x: 17(x - 5704) + 36128 = 25x - 59616", "solution_steps": ["Expand: 17x - 96968 + 36128 = 25x - 59616", "Combine constants: 17x - 60840 = 25x - 59616", "Subtract 25x from both sides: -8x - 60840 = -59616", "Add 60840 to both sides: -8x = 1224", "Divide both sides by -8: x = -153"], "final_answer": "-153", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 5704) + 36128 = 25x - 59616", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5704, \"c\": 36128, \"d\": 25, \"f\": -59616, \"x\": -153}", "seed": "10405758833748183713", "semantic_fingerprint": "sha256:4a2e1bb08f944a0f6e97ec6c47757e98629ecdd1060da9e8273ccbbb8d84f27b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000850", "prompt": "What is (-6666 + 2800 - 5571 / 7240) * (-56933 - (-4469))?", "solution_steps": ["Add: -6666 + 2800 = -3866", "Divide: 5571 / 7240 = 5571/7240", "Subtract: -3866 - 5571/7240 = -27995411/7240", "Subtract: -56933 - (-4469) = -52464", "Multiply: (-27995411/7240) * (-52464) = 183593905338/905"], "final_answer": "183593905338/905", "answer_type": "rational", "kind": "expression", "math_text": "(-6666 + 2800 - 5571 / 7240) * (-56933 - (-4469))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6666, \"b\": 2800, \"c\": 5571, \"d\": 7240, \"e\": -56933, \"f\": -4469}", "seed": "10193613205388528992", "semantic_fingerprint": "sha256:bc2f233f8f5b66e78e821d6981888c9f44400f7c08575845701fd49bc2307e39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000851", "prompt": "Find x: 13(x - 3178) = -40(x + 5832) - 7745", "solution_steps": ["Expand: 13x - 41314 = -40(x + 5832) - 7745", "Expand: 13x - 41314 = -40x - 233280 - 7745", "Combine constants: 13x - 41314 = -40x - 241025", "Add 40x to both sides: 53x - 41314 = -241025", "Add 41314 to both sides: 53x = -199711", "Divide both sides by 53: x = -199711/53"], "final_answer": "-199711/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 3178) = -40(x + 5832) - 7745", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 3178, \"c\": -40, \"d\": 5832, \"e\": 7745}", "seed": "14101631901032667392", "semantic_fingerprint": "sha256:3f79a24421a9a2a92dff10aeff822437f2e7854a1d9eb77ed56e21f5cae8fc27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000852", "prompt": "What value of x satisfies x + 4636 = 4525?", "solution_steps": ["Subtract 4636 from both sides: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4636 = 4525", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4636, \"c\": 4525, \"x\": -111}", "seed": "7312728587651102866", "semantic_fingerprint": "sha256:f010f6e3be7284f61f77bef0089804af1e91dc516e7657e799df55326d748adb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000853", "prompt": "Solve the equation -34x - 26193 = 19(x + 3587) - 86555 for x.", "solution_steps": ["Expand: -34x - 26193 = 19x + 68153 - 86555", "Combine constants: -34x - 26193 = 19x - 18402", "Subtract 19x from both sides: -53x - 26193 = -18402", "Add 26193 to both sides: -53x = 7791", "Divide both sides by -53: x = -147"], "final_answer": "-147", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x - 26193 = 19(x + 3587) - 86555", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 26193, \"c\": 19, \"d\": 3587, \"f\": -86555, \"x\": -147}", "seed": "2896958078010521065", "semantic_fingerprint": "sha256:7840848828b79557f1220cc07373e1926d466854b5f0d1bf065c42dd20368b27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000854", "prompt": "Solve for x: x - 7639 = 28(x + 95855)", "solution_steps": ["Expand: x - 7639 = 28x + 2683940", "Subtract 28x from both sides: -27x - 7639 = 2683940", "Add 7639 to both sides: -27x = 2691579", "Divide both sides by -27: x = -897193/9"], "final_answer": "-897193/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7639 = 28(x + 95855)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7639, \"b\": 28, \"c\": 95855}", "seed": "15691344424535933225", "semantic_fingerprint": "sha256:c284d864b3d9ec77d8aef876305945bccbfeb76a3f6644e40811c8cf3b816299", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000855", "prompt": "Solve for x: -40(x - 1470) = -37(x + 4733)", "solution_steps": ["Expand: -40x + 58800 = -37(x + 4733)", "Expand: -40x + 58800 = -37x - 175121", "Add 37x to both sides: -3x + 58800 = -175121", "Subtract 58800 from both sides: -3x = -233921", "Divide both sides by -3: x = 233921/3"], "final_answer": "233921/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 1470) = -37(x + 4733)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 1470, \"c\": -37, \"d\": 4733}", "seed": "8840351917632797236", "semantic_fingerprint": "sha256:8e7aaed6814d0901d6d3d9a7b6e61b60e098a9a337ff5aa152a0519d83bdc489", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000856", "prompt": "Solve the equation 20x + 90092 = 32(x + 2743) for x.", "solution_steps": ["Expand: 20x + 90092 = 32x + 87776", "Subtract 32x from both sides: -12x + 90092 = 87776", "Subtract 90092 from both sides: -12x = -2316", "Divide both sides by -12: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 90092 = 32(x + 2743)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 32, \"c\": 2743, \"e\": 90092, \"x\": 193}", "seed": "6345784830483215266", "semantic_fingerprint": "sha256:a8163cc738b7ec366a6a092fb6310b37159ad586edbd2b514e7b2031ec20ba55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000857", "prompt": "Calculate: (-1814 - 5819 - 5656) / (-2330 - 51608)", "solution_steps": ["Subtract: -1814 - 5819 = -7633", "Subtract: -7633 - 5656 = -13289", "Subtract: -2330 - 51608 = -53938", "Divide: -13289 / (-53938) = 13289/53938"], "final_answer": "13289/53938", "answer_type": "rational", "kind": "expression", "math_text": "(-1814 - 5819 - 5656) / (-2330 - 51608)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1814, \"b\": 5819, \"c\": 5656, \"d\": -2330, \"e\": 51608}", "seed": "4330689804009098202", "semantic_fingerprint": "sha256:1086c473a3db52c0bb2ea2eaa78e259b4cff8c62c873eae188996433946f38ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000858", "prompt": "What is (2760 + 9147) / (-4630) * (85785 - 45537)?", "solution_steps": ["Add: 2760 + 9147 = 11907", "Divide: 11907 / (-4630) = -11907/4630", "Subtract: 85785 - 45537 = 40248", "Multiply: (-11907/4630) * 40248 = -239616468/2315"], "final_answer": "-239616468/2315", "answer_type": "rational", "kind": "expression", "math_text": "(2760 + 9147) / (-4630) * (85785 - 45537)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2760, \"b\": 9147, \"c\": -4630, \"d\": 85785, \"e\": 45537}", "seed": "2947434112321725502", "semantic_fingerprint": "sha256:bcd656cac6aa00bfb6807de89f96aaef0baeeee60567c717ffe6acef5dabef9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000859", "prompt": "What is 39733 / 3562?", "solution_steps": ["Divide: 39733 / 3562 = 39733/3562"], "final_answer": "39733/3562", "answer_type": "rational", "kind": "expression", "math_text": "39733 / 3562", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39733, \"b\": 3562}", "seed": "4849520256715264148", "semantic_fingerprint": "sha256:b388fa488ed0ae8452d64e628ef082abc3a730b38f5dcd48b051c6dd12ff4221", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000860", "prompt": "Compute: 7569 - (-61343 + 73009)", "solution_steps": ["Add: -61343 + 73009 = 11666", "Subtract: 7569 - 11666 = -4097"], "final_answer": "-4097", "answer_type": "integer", "kind": "expression", "math_text": "7569 - (-61343 + 73009)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7569, \"b\": -61343, \"c\": 73009}", "seed": "1096666026679146362", "semantic_fingerprint": "sha256:949bca3eaf17df14234b877123e2cdc501a09773fbe78315a4f3a175e6a5d046", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000861", "prompt": "Solve the equation 26(x + 41946) - 38254 = 27x + 37529 for x.", "solution_steps": ["Expand: 26x + 1090596 - 38254 = 27x + 37529", "Combine constants: 26x + 1052342 = 27x + 37529", "Subtract 27x from both sides: -x + 1052342 = 37529", "Subtract 1052342 from both sides: -x = -1014813", "Divide both sides by -1: x = 1014813"], "final_answer": "1014813", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x + 41946) - 38254 = 27x + 37529", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 41946, \"c\": 38254, \"d\": 27, \"e\": 37529}", "seed": "3373296610973132592", "semantic_fingerprint": "sha256:8f7dc5751af39944d8de140abd8fb3690096407e9723cbf6fcfa0ae226587f1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000862", "prompt": "What is -8077 / 3372?", "solution_steps": ["Divide: -8077 / 3372 = -8077/3372"], "final_answer": "-8077/3372", "answer_type": "rational", "kind": "expression", "math_text": "-8077 / 3372", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8077, \"b\": 3372}", "seed": "13419647734073360864", "semantic_fingerprint": "sha256:8cf890d169103f974a58154a7dbaa640d07d71239219bca18487d66a05d7d18f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000863", "prompt": "What is (-67346 - (-60475)) / (-4487)?", "solution_steps": ["Subtract: -67346 - (-60475) = -6871", "Divide: -6871 / (-4487) = 6871/4487"], "final_answer": "6871/4487", "answer_type": "rational", "kind": "expression", "math_text": "(-67346 - (-60475)) / (-4487)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67346, \"b\": -60475, \"c\": -4487}", "seed": "18220216036251398627", "semantic_fingerprint": "sha256:f2775d05427c9d2ddaa92ebcbe141cd116d70061adc79b9bc23ceb1df65f17d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000864", "prompt": "Compute: 38532 * (6104 + (-9020)) * 1225 / (1118 - (-6951))", "solution_steps": ["Add: 6104 + (-9020) = -2916", "Multiply: 38532 * (-2916) = -112359312", "Multiply: -112359312 * 1225 = -137640157200", "Subtract: 1118 - (-6951) = 8069", "Divide: -137640157200 / 8069 = -137640157200/8069"], "final_answer": "-137640157200/8069", "answer_type": "rational", "kind": "expression", "math_text": "38532 * (6104 + (-9020)) * 1225 / (1118 - (-6951))", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38532, \"b\": 6104, \"c\": -9020, \"d\": 1225, \"e\": 1118, \"f\": -6951}", "seed": "5251827874812428398", "semantic_fingerprint": "sha256:e40a5275db25c246576572c782002470f097420552d80c92d2b7110e37e26551", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000865", "prompt": "Compute: -2018 / (-7136) + 6770", "solution_steps": ["Divide: -2018 / (-7136) = 1009/3568", "Add: 1009/3568 + 6770 = 24156369/3568"], "final_answer": "24156369/3568", "answer_type": "rational", "kind": "expression", "math_text": "-2018 / (-7136) + 6770", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2018, \"b\": -7136, \"c\": 6770}", "seed": "12670349181160674719", "semantic_fingerprint": "sha256:e00c0075c7f7c02047eea5b0745eaab5b52c95faba901c3ee2dc2814bde49112", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000866", "prompt": "Compute: 9481 / (-5520) + (-1393) * (-32802)", "solution_steps": ["Divide: 9481 / (-5520) = -9481/5520", "Multiply: -1393 * (-32802) = 45693186", "Add: -9481/5520 + 45693186 = 252226377239/5520"], "final_answer": "252226377239/5520", "answer_type": "rational", "kind": "expression", "math_text": "9481 / (-5520) + (-1393) * (-32802)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9481, \"b\": -5520, \"c\": -1393, \"d\": -32802}", "seed": "7102894413120206847", "semantic_fingerprint": "sha256:2c75c2ff66fefcf22861607b1853a1383fba8a38178a0fa0ce9827e99162a293", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000867", "prompt": "Solve for x: 40(x + 1520) + 44524 = -33(x + 71616)", "solution_steps": ["Expand: 40x + 60800 + 44524 = -33(x + 71616)", "Expand: 40x + 60800 + 44524 = -33x - 2363328", "Combine constants: 40x + 105324 = -33x - 2363328", "Add 33x to both sides: 73x + 105324 = -2363328", "Subtract 105324 from both sides: 73x = -2468652", "Divide both sides by 73: x = -2468652/73"], "final_answer": "-2468652/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 1520) + 44524 = -33(x + 71616)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1520, \"c\": 44524, \"d\": -33, \"e\": 71616}", "seed": "100711821386935150", "semantic_fingerprint": "sha256:964c98de3bc42614a56247c45e36be30c2189c338af099c096792f689bcc5341", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000868", "prompt": "Calculate: 8976 * (-65643 + (-4163 + 7039) - (-1561))", "solution_steps": ["Add: -4163 + 7039 = 2876", "Add: -65643 + 2876 = -62767", "Subtract: -62767 - (-1561) = -61206", "Multiply: 8976 * (-61206) = -549385056"], "final_answer": "-549385056", "answer_type": "integer", "kind": "expression", "math_text": "8976 * (-65643 + (-4163 + 7039) - (-1561))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8976, \"b\": -65643, \"c\": -4163, \"d\": 7039, \"e\": -1561}", "seed": "14738027783202167968", "semantic_fingerprint": "sha256:3f88bb6551c34bd3fc9289dbd5a0cc1ac65af48e5194612351bb8b42f8a1936a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000869", "prompt": "What value of x satisfies 27(x - 4068) - 42016 = -19(x + 8474)?", "solution_steps": ["Expand: 27x - 109836 - 42016 = -19(x + 8474)", "Expand: 27x - 109836 - 42016 = -19x - 161006", "Combine constants: 27x - 151852 = -19x - 161006", "Add 19x to both sides: 46x - 151852 = -161006", "Add 151852 to both sides: 46x = -9154", "Divide both sides by 46: x = -199"], "final_answer": "-199", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 4068) - 42016 = -19(x + 8474)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 4068, \"c\": -19, \"d\": 8474, \"f\": -42016, \"x\": -199}", "seed": "10448155560742438966", "semantic_fingerprint": "sha256:0955afcb0eff61142101779932aecdee3a80e97c6943b35f82d56b0e3f972726", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000870", "prompt": "Compute: -51660 + (-27821 + 9279) + 6262", "solution_steps": ["Add: -27821 + 9279 = -18542", "Add: -51660 + (-18542) = -70202", "Add: -70202 + 6262 = -63940"], "final_answer": "-63940", "answer_type": "integer", "kind": "expression", "math_text": "-51660 + (-27821 + 9279) + 6262", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -51660, \"b\": -27821, \"c\": 9279, \"d\": 6262}", "seed": "6935523161622540364", "semantic_fingerprint": "sha256:10dbea296208ae0f48e0841858c4a77a66f07fef50c1364dcdefa01a612504ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000871", "prompt": "Calculate: 5037 * 7504 - (-7625 - 8250 + 1338)", "solution_steps": ["Multiply: 5037 * 7504 = 37797648", "Subtract: -7625 - 8250 = -15875", "Add: -15875 + 1338 = -14537", "Subtract: 37797648 - (-14537) = 37812185"], "final_answer": "37812185", "answer_type": "integer", "kind": "expression", "math_text": "5037 * 7504 - (-7625 - 8250 + 1338)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5037, \"b\": 7504, \"c\": -7625, \"d\": 8250, \"e\": 1338}", "seed": "582930811054580502", "semantic_fingerprint": "sha256:df212a14f540deea0d5def692f2aef618f3d50a0f75dd78daae53736ddb145a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000872", "prompt": "What is (-2011 + (-2599 + (7348 - 40123))) / (96378 - 2547)?", "solution_steps": ["Subtract: 7348 - 40123 = -32775", "Add: -2599 + (-32775) = -35374", "Add: -2011 + (-35374) = -37385", "Subtract: 96378 - 2547 = 93831", "Divide: -37385 / 93831 = -37385/93831"], "final_answer": "-37385/93831", "answer_type": "rational", "kind": "expression", "math_text": "(-2011 + (-2599 + (7348 - 40123))) / (96378 - 2547)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2011, \"b\": -2599, \"c\": 7348, \"d\": 40123, \"e\": 96378, \"f\": 2547}", "seed": "15946090155265558827", "semantic_fingerprint": "sha256:e0ee906560bf7920c2f99b5b064506a79ec045ceee99badc26e95697e464f499", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000873", "prompt": "Solve for x: x = 27(x - 8863)", "solution_steps": ["Expand: x = 27x - 239301", "Subtract 27x from both sides: -26x = -239301", "Divide both sides by -26: x = 239301/26"], "final_answer": "239301/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x - 8863)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8863}", "seed": "4520865138812545847", "semantic_fingerprint": "sha256:d70aaa2593b138011dfd0b08b31720fd7975272fdb4d19b1b7163d59dba05f81", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000874", "prompt": "What is 1942 + (-7696) * (-5353)?", "solution_steps": ["Multiply: -7696 * (-5353) = 41196688", "Add: 1942 + 41196688 = 41198630"], "final_answer": "41198630", "answer_type": "integer", "kind": "expression", "math_text": "1942 + (-7696) * (-5353)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1942, \"b\": -7696, \"c\": -5353}", "seed": "11938133017125944452", "semantic_fingerprint": "sha256:acabea159b62460d829f1426849a5436428e71f40acc57739bc0e61f06933ed6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000875", "prompt": "Solve for x: 22(x + 9047) - 84710 = 35(x + 46230) - 4430", "solution_steps": ["Expand: 22x + 199034 - 84710 = 35(x + 46230) - 4430", "Expand: 22x + 199034 - 84710 = 35x + 1618050 - 4430", "Combine constants: 22x + 114324 = 35x + 1618050 - 4430", "Combine constants: 22x + 114324 = 35x + 1613620", "Subtract 35x from both sides: -13x + 114324 = 1613620", "Subtract 114324 from both sides: -13x = 1499296", "Divide both sides by -13: x = -1499296/13"], "final_answer": "-1499296/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 9047) - 84710 = 35(x + 46230) - 4430", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 9047, \"c\": 84710, \"d\": 35, \"e\": 46230, \"f\": 4430}", "seed": "12457578283569493945", "semantic_fingerprint": "sha256:d240599969a5979b30f1c4654f5d49cc187c3a8da646d019def5fab4fe4baf25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000876", "prompt": "What is 3234 - (-81213) * 3629?", "solution_steps": ["Multiply: -81213 * 3629 = -294721977", "Subtract: 3234 - (-294721977) = 294725211"], "final_answer": "294725211", "answer_type": "integer", "kind": "expression", "math_text": "3234 - (-81213) * 3629", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3234, \"b\": -81213, \"c\": 3629}", "seed": "10918974157584935371", "semantic_fingerprint": "sha256:743f79a7b5ec10c2704ba206d0d6a698cce0dc4b5e177ffa6919d3055937cd5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000877", "prompt": "Calculate: (72401 + (-8446)) * (-77347)", "solution_steps": ["Add: 72401 + (-8446) = 63955", "Multiply: 63955 * (-77347) = -4946727385"], "final_answer": "-4946727385", "answer_type": "integer", "kind": "expression", "math_text": "(72401 + (-8446)) * (-77347)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72401, \"b\": -8446, \"c\": -77347}", "seed": "6358811301464406728", "semantic_fingerprint": "sha256:1db256f148a0b9ffb0114ffdfa70be746189c3500cb53d90f0faed98734fa5d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000878", "prompt": "Evaluate: 3864 + 18259 - (-57703 - (-79313 + (-8650) + 4798))", "solution_steps": ["Add: 3864 + 18259 = 22123", "Add: -79313 + (-8650) = -87963", "Add: -87963 + 4798 = -83165", "Subtract: -57703 - (-83165) = 25462", "Subtract: 22123 - 25462 = -3339"], "final_answer": "-3339", "answer_type": "integer", "kind": "expression", "math_text": "3864 + 18259 - (-57703 - (-79313 + (-8650) + 4798))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3864, \"b\": 18259, \"c\": -57703, \"d\": -79313, \"e\": -8650, \"f\": 4798}", "seed": "4262321208317964964", "semantic_fingerprint": "sha256:2798e71563518b76d21d736efdd5d8a941bb525e4670a73db564652043d690d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000879", "prompt": "Calculate: -45993 / 9724 + (-91071 - (-73121))", "solution_steps": ["Divide: -45993 / 9724 = -45993/9724", "Subtract: -91071 - (-73121) = -17950", "Add: -45993/9724 + (-17950) = -174591793/9724"], "final_answer": "-174591793/9724", "answer_type": "rational", "kind": "expression", "math_text": "-45993 / 9724 + (-91071 - (-73121))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45993, \"b\": 9724, \"c\": -91071, \"d\": -73121}", "seed": "2729324103230064262", "semantic_fingerprint": "sha256:1003bd8e2d89d95cab1615b929be077c94ff9006f48924f68206a1e72d08659f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000880", "prompt": "Compute: -8730 / (-65477)", "solution_steps": ["Divide: -8730 / (-65477) = 8730/65477"], "final_answer": "8730/65477", "answer_type": "rational", "kind": "expression", "math_text": "-8730 / (-65477)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8730, \"b\": -65477}", "seed": "12730726962027615507", "semantic_fingerprint": "sha256:5ed3fb17c25b5dbab06cdcbfe83551e431b0127d9b2998bbc2dd2bf51466c436", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000881", "prompt": "What is 60615 - (13944 + 2452 * 5140) - 2074?", "solution_steps": ["Multiply: 2452 * 5140 = 12603280", "Add: 13944 + 12603280 = 12617224", "Subtract: 60615 - 12617224 = -12556609", "Subtract: -12556609 - 2074 = -12558683"], "final_answer": "-12558683", "answer_type": "integer", "kind": "expression", "math_text": "60615 - (13944 + 2452 * 5140) - 2074", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 60615, \"b\": 13944, \"c\": 2452, \"d\": 5140, \"e\": 2074}", "seed": "13552354392006823315", "semantic_fingerprint": "sha256:0ca8b47146a03a58f8c6e42dc1017cd54b9c4019e20f601e80febcc98ce3d1fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000882", "prompt": "Evaluate: (6900 - 8218) / (-20689 - 4983)", "solution_steps": ["Subtract: 6900 - 8218 = -1318", "Subtract: -20689 - 4983 = -25672", "Divide: -1318 / (-25672) = 659/12836"], "final_answer": "659/12836", "answer_type": "rational", "kind": "expression", "math_text": "(6900 - 8218) / (-20689 - 4983)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6900, \"b\": 8218, \"c\": -20689, \"d\": 4983}", "seed": "8461743671444110097", "semantic_fingerprint": "sha256:65e977b08f9a93d774fd0c36ce031e7923749fdd50c876603d4d599f48ec6baa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000883", "prompt": "Compute: -8122 + (-25999 / 5059 - 71656)", "solution_steps": ["Divide: -25999 / 5059 = -25999/5059", "Subtract: -25999/5059 - 71656 = -362533703/5059", "Add: -8122 + (-362533703/5059) = -403622901/5059"], "final_answer": "-403622901/5059", "answer_type": "rational", "kind": "expression", "math_text": "-8122 + (-25999 / 5059 - 71656)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8122, \"b\": -25999, \"c\": 5059, \"d\": 71656}", "seed": "4924892513965820275", "semantic_fingerprint": "sha256:d13f24a55b078096a2364358d7d75ab05d26a1422176bf24ade98334b199a55e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000884", "prompt": "What is 3741 / (-48468) - (-5570)?", "solution_steps": ["Divide: 3741 / (-48468) = -1247/16156", "Subtract: -1247/16156 - (-5570) = 89987673/16156"], "final_answer": "89987673/16156", "answer_type": "rational", "kind": "expression", "math_text": "3741 / (-48468) - (-5570)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3741, \"b\": -48468, \"c\": -5570}", "seed": "2776905972010464422", "semantic_fingerprint": "sha256:6437a15166a9405a14b441028602ec69776d4847050ee968c93c5c7b9a214b05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000885", "prompt": "Find x: 19x + 2412 = 13(x + 51786)", "solution_steps": ["Expand: 19x + 2412 = 13x + 673218", "Subtract 13x from both sides: 6x + 2412 = 673218", "Subtract 2412 from both sides: 6x = 670806", "Divide both sides by 6: x = 111801"], "final_answer": "111801", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 2412 = 13(x + 51786)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2412, \"c\": 13, \"d\": 51786}", "seed": "8802947023045737725", "semantic_fingerprint": "sha256:855dbe17c0df5e0dd6f8dc11b655fa341ed0c671098aa4d4148cf85d815b8f33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000886", "prompt": "What value of x satisfies x - 1660 = -17(x - 51554)?", "solution_steps": ["Expand: x - 1660 = -17x + 876418", "Add 17x to both sides: 18x - 1660 = 876418", "Add 1660 to both sides: 18x = 878078", "Divide both sides by 18: x = 439039/9"], "final_answer": "439039/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1660 = -17(x - 51554)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1660, \"b\": -17, \"c\": 51554}", "seed": "3208453253407474545", "semantic_fingerprint": "sha256:c9b2b175812a57ecf968ca8c825c13c6ba483bc1ed812e3651b2efc6ee87ab93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000887", "prompt": "Solve the equation x = 30(x - 9581) for x.", "solution_steps": ["Expand: x = 30x - 287430", "Subtract 30x from both sides: -29x = -287430", "Divide both sides by -29: x = 287430/29"], "final_answer": "287430/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30(x - 9581)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 9581}", "seed": "11028175182981636388", "semantic_fingerprint": "sha256:68af5a061481257e81209f4b204ae95786bd0e2225c4bc7bd586c54ebbb17b51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000888", "prompt": "Calculate: -8266 - (-3200) - (6872 + 3056) + (-9291)", "solution_steps": ["Subtract: -8266 - (-3200) = -5066", "Add: 6872 + 3056 = 9928", "Subtract: -5066 - 9928 = -14994", "Add: -14994 + (-9291) = -24285"], "final_answer": "-24285", "answer_type": "integer", "kind": "expression", "math_text": "-8266 - (-3200) - (6872 + 3056) + (-9291)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8266, \"b\": -3200, \"c\": 6872, \"d\": 3056, \"e\": -9291}", "seed": "12644204090538714723", "semantic_fingerprint": "sha256:e1457ef62531945d67c9b9bb8e34d09ea9d07f1a6255e6a1a3b1759db29e0341", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000889", "prompt": "Solve the equation -19x + 42506 = 22x + 36397 for x.", "solution_steps": ["Subtract 22x from both sides: -41x + 42506 = 36397", "Subtract 42506 from both sides: -41x = -6109", "Divide both sides by -41: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x + 42506 = 22x + 36397", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 42506, \"c\": 22, \"e\": 36397, \"x\": 149}", "seed": "15651605402902023923", "semantic_fingerprint": "sha256:c5bfb8c79d1aa64614c22639fc51e6517b5077d05ff404ba443de5ca0b01c283", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000890", "prompt": "Find x: 39(x + 6360) = 38(x - 6573)", "solution_steps": ["Expand: 39x + 248040 = 38(x - 6573)", "Expand: 39x + 248040 = 38x - 249774", "Subtract 38x from both sides: x + 248040 = -249774", "Subtract 248040 from both sides: x = -497814"], "final_answer": "-497814", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x + 6360) = 38(x - 6573)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 6360, \"c\": 38, \"d\": 6573}", "seed": "1577527087873035504", "semantic_fingerprint": "sha256:2fb251899d9b2874f418849168b47ba634c7040d4deedc5098f00be386e3ac00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000891", "prompt": "Calculate: (-3838 - 55671) * 5097", "solution_steps": ["Subtract: -3838 - 55671 = -59509", "Multiply: -59509 * 5097 = -303317373"], "final_answer": "-303317373", "answer_type": "integer", "kind": "expression", "math_text": "(-3838 - 55671) * 5097", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3838, \"b\": 55671, \"c\": 5097}", "seed": "3158914389808241473", "semantic_fingerprint": "sha256:a65389ac7b362c974a5c28bb17af00982f61f97833354649d40b94288b505293", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000892", "prompt": "Solve for x: 20(x - 3030) - 29024 = 39(x - 4607) + 89099", "solution_steps": ["Expand: 20x - 60600 - 29024 = 39(x - 4607) + 89099", "Expand: 20x - 60600 - 29024 = 39x - 179673 + 89099", "Combine constants: 20x - 89624 = 39x - 179673 + 89099", "Combine constants: 20x - 89624 = 39x - 90574", "Subtract 39x from both sides: -19x - 89624 = -90574", "Add 89624 to both sides: -19x = -950", "Divide both sides by -19: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 3030) - 29024 = 39(x - 4607) + 89099", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3030, \"c\": 29024, \"d\": 39, \"e\": 4607, \"g\": 89099, \"x\": 50}", "seed": "2450221912674321789", "semantic_fingerprint": "sha256:d32f74ea4898637c3110b7c4730f76c0e8fda675ed1f223c1faa75cfa9a4732d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000893", "prompt": "What is 6802 + (-71285) + (-7940) * (-6883)?", "solution_steps": ["Add: 6802 + (-71285) = -64483", "Multiply: -7940 * (-6883) = 54651020", "Add: -64483 + 54651020 = 54586537"], "final_answer": "54586537", "answer_type": "integer", "kind": "expression", "math_text": "6802 + (-71285) + (-7940) * (-6883)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6802, \"b\": -71285, \"c\": -7940, \"d\": -6883}", "seed": "755212256877580713", "semantic_fingerprint": "sha256:dd644b17cac91437ba2bbce672c27dfa23281b5fec06c6da925fc26dd8bfe874", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000894", "prompt": "Evaluate: 6691 + (-3754)", "solution_steps": ["Add: 6691 + (-3754) = 2937"], "final_answer": "2937", "answer_type": "integer", "kind": "expression", "math_text": "6691 + (-3754)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6691, \"b\": -3754}", "seed": "8869219117631636087", "semantic_fingerprint": "sha256:9373f3867a7bf06a0ebd9bcfd57803893fdd9a4c448d34d95f1197c9ece970e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000895", "prompt": "What value of x satisfies 23(x + 48866) - 8849 = 31(x - 15788) - 7399?", "solution_steps": ["Expand: 23x + 1123918 - 8849 = 31(x - 15788) - 7399", "Expand: 23x + 1123918 - 8849 = 31x - 489428 - 7399", "Combine constants: 23x + 1115069 = 31x - 489428 - 7399", "Combine constants: 23x + 1115069 = 31x - 496827", "Subtract 31x from both sides: -8x + 1115069 = -496827", "Subtract 1115069 from both sides: -8x = -1611896", "Divide both sides by -8: x = 201487"], "final_answer": "201487", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 48866) - 8849 = 31(x - 15788) - 7399", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 48866, \"c\": 8849, \"d\": 31, \"e\": 15788, \"f\": 7399}", "seed": "1754145405691749116", "semantic_fingerprint": "sha256:3b4e64b0f4c607d146d86520a8293fe5469f1121ca4c758b429c4e116ed1e005", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000896", "prompt": "What is 8933 / (-7061)?", "solution_steps": ["Divide: 8933 / (-7061) = -8933/7061"], "final_answer": "-8933/7061", "answer_type": "rational", "kind": "expression", "math_text": "8933 / (-7061)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8933, \"b\": -7061}", "seed": "4526750653446524803", "semantic_fingerprint": "sha256:c5188a79632a59002cc7174be69cad480d6d4bf5858ce57963e4ffd667df00f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000897", "prompt": "Evaluate: 2312 + (-7425) / 3289", "solution_steps": ["Divide: -7425 / 3289 = -675/299", "Add: 2312 + (-675/299) = 690613/299"], "final_answer": "690613/299", "answer_type": "rational", "kind": "expression", "math_text": "2312 + (-7425) / 3289", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2312, \"b\": -7425, \"c\": 3289}", "seed": "17367401037854426071", "semantic_fingerprint": "sha256:77ab229592375fce84ee9ac85eba4179e29dcf62f3014349a35f08e82955234d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000898", "prompt": "Solve the equation -31x = 35x + 3954 for x.", "solution_steps": ["Subtract 35x from both sides: -66x = 3954", "Divide both sides by -66: x = -659/11"], "final_answer": "-659/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x = 35x + 3954", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 35, \"c\": 3954}", "seed": "1372348265303484151", "semantic_fingerprint": "sha256:5e776e7bedf4cd355bdabb3e58ac5405322b69dd6c627c678ab8276674793a12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000899", "prompt": "Calculate: (-14978 + (8430 - (-5715))) * (-5057 / (35917 / 7796))", "solution_steps": ["Subtract: 8430 - (-5715) = 14145", "Add: -14978 + 14145 = -833", "Divide: 35917 / 7796 = 35917/7796", "Divide: -5057 / (35917/7796) = -39424372/35917", "Multiply: -833 * (-39424372/35917) = 670214324/733"], "final_answer": "670214324/733", "answer_type": "rational", "kind": "expression", "math_text": "(-14978 + (8430 - (-5715))) * (-5057 / (35917 / 7796))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14978, \"b\": 8430, \"c\": -5715, \"d\": -5057, \"e\": 35917, \"f\": 7796}", "seed": "8605582524626529071", "semantic_fingerprint": "sha256:bc03145a7a96163ec699f027bbd72899916b9a3f273f910920e3c36526f673ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000900", "prompt": "What value of x satisfies 34x + 1920 = 24x?", "solution_steps": ["Subtract 24x from both sides: 10x + 1920 = 0", "Subtract 1920 from both sides: 10x = -1920", "Divide both sides by 10: x = -192"], "final_answer": "-192", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 1920 = 24x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 24, \"d\": 1920, \"x\": -192}", "seed": "17974699704042827476", "semantic_fingerprint": "sha256:ac1f3e4fdca48890e19977f97210c93ba5ef4f8257e159608f5a95b4d7402aad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000901", "prompt": "What is 30372 + (-92793 + (-3237))?", "solution_steps": ["Add: -92793 + (-3237) = -96030", "Add: 30372 + (-96030) = -65658"], "final_answer": "-65658", "answer_type": "integer", "kind": "expression", "math_text": "30372 + (-92793 + (-3237))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30372, \"b\": -92793, \"c\": -3237}", "seed": "8566816426776680743", "semantic_fingerprint": "sha256:9e65afdcba4a7d1171238396900c33d0feb4f2c101608ffd5c59481e37a8c9b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000902", "prompt": "Compute: -8115 - (-3450) - (-3366)", "solution_steps": ["Subtract: -8115 - (-3450) = -4665", "Subtract: -4665 - (-3366) = -1299"], "final_answer": "-1299", "answer_type": "integer", "kind": "expression", "math_text": "-8115 - (-3450) - (-3366)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8115, \"b\": -3450, \"c\": -3366}", "seed": "15288413089327653789", "semantic_fingerprint": "sha256:7307090d1b72c4810700eaa0bc59a1a84bf74ac3bdd4bfcadc4f2dec982e52e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000903", "prompt": "Calculate: 7957 + (-9377 + 55528 / (-63199))", "solution_steps": ["Divide: 55528 / (-63199) = -55528/63199", "Add: -9377 + (-55528/63199) = -592672551/63199", "Add: 7957 + (-592672551/63199) = -89798108/63199"], "final_answer": "-89798108/63199", "answer_type": "rational", "kind": "expression", "math_text": "7957 + (-9377 + 55528 / (-63199))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7957, \"b\": -9377, \"c\": 55528, \"d\": -63199}", "seed": "18005071430135996213", "semantic_fingerprint": "sha256:88769b31bdf1825f3cd010478274ad7a26f2e12a49ba0d8f7dde5c8f61a53753", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000904", "prompt": "Compute: 2073 - (-45304)", "solution_steps": ["Subtract: 2073 - (-45304) = 47377"], "final_answer": "47377", "answer_type": "integer", "kind": "expression", "math_text": "2073 - (-45304)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2073, \"b\": -45304}", "seed": "12967508524625522222", "semantic_fingerprint": "sha256:46868507d686b45f86f3707f5b7dcdac701493ba1116971d072d30a530c6bcde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000905", "prompt": "What is 98752 - (-4927) - 13766?", "solution_steps": ["Subtract: 98752 - (-4927) = 103679", "Subtract: 103679 - 13766 = 89913"], "final_answer": "89913", "answer_type": "integer", "kind": "expression", "math_text": "98752 - (-4927) - 13766", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98752, \"b\": -4927, \"c\": 13766}", "seed": "14950300695556782080", "semantic_fingerprint": "sha256:de3bbc9506cf1a0b0b2f58250d5813e7e3cbb62603ea2f9ca2727e3c405d0d32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000906", "prompt": "What is -4094 * (3501 / 3579)?", "solution_steps": ["Divide: 3501 / 3579 = 1167/1193", "Multiply: -4094 * (1167/1193) = -4777698/1193"], "final_answer": "-4777698/1193", "answer_type": "rational", "kind": "expression", "math_text": "-4094 * (3501 / 3579)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4094, \"b\": 3501, \"c\": 3579}", "seed": "3459354650655078540", "semantic_fingerprint": "sha256:3f49e0631b2bc7218fd13f0fe5c32f3495f86bc73dec726ca387bd2fedec39e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000907", "prompt": "Solve for x: 38(x - 8420) - 2133 = 29(x - 11354) + 6588", "solution_steps": ["Expand: 38x - 319960 - 2133 = 29(x - 11354) + 6588", "Expand: 38x - 319960 - 2133 = 29x - 329266 + 6588", "Combine constants: 38x - 322093 = 29x - 329266 + 6588", "Combine constants: 38x - 322093 = 29x - 322678", "Subtract 29x from both sides: 9x - 322093 = -322678", "Add 322093 to both sides: 9x = -585", "Divide both sides by 9: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x - 8420) - 2133 = 29(x - 11354) + 6588", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 8420, \"c\": 2133, \"d\": 29, \"e\": 11354, \"g\": 6588, \"x\": -65}", "seed": "1740104666766832633", "semantic_fingerprint": "sha256:9e8d68fa562d4a79a497508d3730c4a6166325eca5d39639c7a92bdc7a186a6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000908", "prompt": "Calculate: 3226 + 54615", "solution_steps": ["Add: 3226 + 54615 = 57841"], "final_answer": "57841", "answer_type": "integer", "kind": "expression", "math_text": "3226 + 54615", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3226, \"b\": 54615}", "seed": "8646707623299378097", "semantic_fingerprint": "sha256:a70685301f6603e5ef3d4758485403c73eb4b3d73c74c63fb465a4faed8fd581", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000909", "prompt": "Calculate: 64258 * (-5756 + 7888 * (-3800 + 5027))", "solution_steps": ["Add: -3800 + 5027 = 1227", "Multiply: 7888 * 1227 = 9678576", "Add: -5756 + 9678576 = 9672820", "Multiply: 64258 * 9672820 = 621556067560"], "final_answer": "621556067560", "answer_type": "integer", "kind": "expression", "math_text": "64258 * (-5756 + 7888 * (-3800 + 5027))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (* n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 64258, \"b\": -5756, \"c\": 7888, \"d\": -3800, \"e\": 5027}", "seed": "7409679066906417974", "semantic_fingerprint": "sha256:51607e4e14f9b0940564ce1db87e15fdac5d202b70bdda74c291a0b4bf477a2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000910", "prompt": "What is 5193 / 91389 * (-6308 + 6973)?", "solution_steps": ["Divide: 5193 / 91389 = 1731/30463", "Add: -6308 + 6973 = 665", "Multiply: (1731/30463) * 665 = 1151115/30463"], "final_answer": "1151115/30463", "answer_type": "rational", "kind": "expression", "math_text": "5193 / 91389 * (-6308 + 6973)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5193, \"b\": 91389, \"c\": -6308, \"d\": 6973}", "seed": "7571442456300671686", "semantic_fingerprint": "sha256:2c8d91ebe3f4c19a6067825b2c9315cd8e6c2d625fa822274a26142b2a66ccaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000911", "prompt": "Find x: 24(x + 2276) = 31(x + 9941) + 7061", "solution_steps": ["Expand: 24x + 54624 = 31(x + 9941) + 7061", "Expand: 24x + 54624 = 31x + 308171 + 7061", "Combine constants: 24x + 54624 = 31x + 315232", "Subtract 31x from both sides: -7x + 54624 = 315232", "Subtract 54624 from both sides: -7x = 260608", "Divide both sides by -7: x = -260608/7"], "final_answer": "-260608/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 2276) = 31(x + 9941) + 7061", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2276, \"c\": 31, \"d\": 9941, \"e\": 7061}", "seed": "6227514493679799302", "semantic_fingerprint": "sha256:c8087fffa25a330f87e5daf21cfe325f8cc375ec97638b881abdec7c4a6574ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000912", "prompt": "Find x: x + 5747 = 29x + 27093", "solution_steps": ["Subtract 29x from both sides: -28x + 5747 = 27093", "Subtract 5747 from both sides: -28x = 21346", "Divide both sides by -28: x = -10673/14"], "final_answer": "-10673/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5747 = 29x + 27093", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5747, \"b\": 29, \"c\": 27093}", "seed": "10042499800850485364", "semantic_fingerprint": "sha256:9ed4624a94002fae84a742328df3bb1b2117b6ab532501c402d337d0dd17d38e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000913", "prompt": "Calculate: 3479 / (-4182)", "solution_steps": ["Divide: 3479 / (-4182) = -3479/4182"], "final_answer": "-3479/4182", "answer_type": "rational", "kind": "expression", "math_text": "3479 / (-4182)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3479, \"b\": -4182}", "seed": "16813809348228167909", "semantic_fingerprint": "sha256:710bc563aa02473f478d4a22605d92404c1eca65e747918918512e35595ac633", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000914", "prompt": "What is 3445 * (-62277) + (-7102 * (-64901) + 3335 * 5614)?", "solution_steps": ["Multiply: 3445 * (-62277) = -214544265", "Multiply: -7102 * (-64901) = 460926902", "Multiply: 3335 * 5614 = 18722690", "Add: 460926902 + 18722690 = 479649592", "Add: -214544265 + 479649592 = 265105327"], "final_answer": "265105327", "answer_type": "integer", "kind": "expression", "math_text": "3445 * (-62277) + (-7102 * (-64901) + 3335 * 5614)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (* n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3445, \"b\": -62277, \"c\": -7102, \"d\": -64901, \"e\": 3335, \"f\": 5614}", "seed": "1652108455481918428", "semantic_fingerprint": "sha256:67c419581556d8ae895c4e1b547bc95661292c1c3fa004d24e046355bbde5c65", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000915", "prompt": "Find x: 19(x - 1495) + 28713 = 33x", "solution_steps": ["Expand: 19x - 28405 + 28713 = 33x", "Combine constants: 19x + 308 = 33x", "Subtract 33x from both sides: -14x + 308 = 0", "Subtract 308 from both sides: -14x = -308", "Divide both sides by -14: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 1495) + 28713 = 33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1495, \"c\": 33, \"e\": 28713, \"x\": 22}", "seed": "10342206524107369152", "semantic_fingerprint": "sha256:5d1847d6cd810e61abe42657234e30c44eab2538e1c323247dc910b3190bfd8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000916", "prompt": "Evaluate: 1737 - 84074 * 8548 / (4759 + (-3876))", "solution_steps": ["Multiply: 84074 * 8548 = 718664552", "Add: 4759 + (-3876) = 883", "Divide: 718664552 / 883 = 718664552/883", "Subtract: 1737 - 718664552/883 = -717130781/883"], "final_answer": "-717130781/883", "answer_type": "rational", "kind": "expression", "math_text": "1737 - 84074 * 8548 / (4759 + (-3876))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1737, \"b\": 84074, \"c\": 8548, \"d\": 4759, \"e\": -3876}", "seed": "11304695369200542891", "semantic_fingerprint": "sha256:76696a0fc48746095da7a3b0636e93df379abc4cf562da2b62e5b91141bd697c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000917", "prompt": "Find x: -14(x + 81167) = x + 38067", "solution_steps": ["Expand: -14x - 1136338 = x + 38067", "Subtract x from both sides: -15x - 1136338 = 38067", "Add 1136338 to both sides: -15x = 1174405", "Divide both sides by -15: x = -234881/3"], "final_answer": "-234881/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 81167) = x + 38067", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 81167, \"c\": 38067}", "seed": "15488791804870148021", "semantic_fingerprint": "sha256:73006687a250719e241cc59bc5fcb6a9a7bbff21263db4284540fc7859fd8d5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000918", "prompt": "Compute: -10460 * (-16275 + (5613 + 4597))", "solution_steps": ["Add: 5613 + 4597 = 10210", "Add: -16275 + 10210 = -6065", "Multiply: -10460 * (-6065) = 63439900"], "final_answer": "63439900", "answer_type": "integer", "kind": "expression", "math_text": "-10460 * (-16275 + (5613 + 4597))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -10460, \"b\": -16275, \"c\": 5613, \"d\": 4597}", "seed": "9788825470744973573", "semantic_fingerprint": "sha256:1a40c6f2abb2ed0ee23494cf4ee79927db6b8daeb0850effbb974312654806ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000919", "prompt": "What value of x satisfies x + 50947 = 33x + 56867?", "solution_steps": ["Subtract 33x from both sides: -32x + 50947 = 56867", "Subtract 50947 from both sides: -32x = 5920", "Divide both sides by -32: x = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 50947 = 33x + 56867", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50947, \"b\": 33, \"d\": 56867, \"x\": -185}", "seed": "11739524139221501433", "semantic_fingerprint": "sha256:a8f8a5360adfa0adae373b293dcfd798e7e26187e482fabfe5470eb091a46731", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000920", "prompt": "Evaluate: 1743 - 48928 / 25580", "solution_steps": ["Divide: 48928 / 25580 = 12232/6395", "Subtract: 1743 - 12232/6395 = 11134253/6395"], "final_answer": "11134253/6395", "answer_type": "rational", "kind": "expression", "math_text": "1743 - 48928 / 25580", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1743, \"b\": 48928, \"c\": 25580}", "seed": "8898726398049764890", "semantic_fingerprint": "sha256:c3b7ca9e37b02ba0183af9bf99e27d2fd1a50e148aa48e8c81959ab1281ffd19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000921", "prompt": "Calculate: -7070 / (-92833 + (66226 + 36189 - 2915))", "solution_steps": ["Add: 66226 + 36189 = 102415", "Subtract: 102415 - 2915 = 99500", "Add: -92833 + 99500 = 6667", "Divide: -7070 / 6667 = -7070/6667"], "final_answer": "-7070/6667", "answer_type": "rational", "kind": "expression", "math_text": "-7070 / (-92833 + (66226 + 36189 - 2915))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7070, \"b\": -92833, \"c\": 66226, \"d\": 36189, \"e\": 2915}", "seed": "2969575539856684560", "semantic_fingerprint": "sha256:cc2651a4b3286f34a57f26f6449a6f1437c76522cefd56ac06defc7c2cefc64c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000922", "prompt": "Solve the equation x + 6178 = 35x for x.", "solution_steps": ["Subtract 35x from both sides: -34x + 6178 = 0", "Subtract 6178 from both sides: -34x = -6178", "Divide both sides by -34: x = 3089/17"], "final_answer": "3089/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6178 = 35x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6178, \"b\": 35}", "seed": "16029115145149222810", "semantic_fingerprint": "sha256:ccbd0b766ec6d9224a2213e985ee3a03618b96badcc0e63a57b18a4451a35612", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000923", "prompt": "Compute: -7069 * (-6300 + (-36666 + 3230) - (84832 - 28788))", "solution_steps": ["Add: -36666 + 3230 = -33436", "Add: -6300 + (-33436) = -39736", "Subtract: 84832 - 28788 = 56044", "Subtract: -39736 - 56044 = -95780", "Multiply: -7069 * (-95780) = 677068820"], "final_answer": "677068820", "answer_type": "integer", "kind": "expression", "math_text": "-7069 * (-6300 + (-36666 + 3230) - (84832 - 28788))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7069, \"b\": -6300, \"c\": -36666, \"d\": 3230, \"e\": 84832, \"f\": 28788}", "seed": "14243493678337999086", "semantic_fingerprint": "sha256:cdc7942356fc87a8fbdf0961db7d9590370135357854f1741ff5d919f4873005", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000924", "prompt": "Evaluate: (-8424 - 5300) / 92118 - (-6928 + 6757)", "solution_steps": ["Subtract: -8424 - 5300 = -13724", "Divide: -13724 / 92118 = -6862/46059", "Add: -6928 + 6757 = -171", "Subtract: -6862/46059 - (-171) = 7869227/46059"], "final_answer": "7869227/46059", "answer_type": "rational", "kind": "expression", "math_text": "(-8424 - 5300) / 92118 - (-6928 + 6757)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8424, \"b\": 5300, \"c\": 92118, \"d\": -6928, \"e\": 6757}", "seed": "6379720507807304233", "semantic_fingerprint": "sha256:26474ebce531938be6ee85a358cea9aa5b489c4dd62edb423ad72b37f505513b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000925", "prompt": "What is 9833 - 3838 - (-7628 + 50416 / 69366)?", "solution_steps": ["Subtract: 9833 - 3838 = 5995", "Divide: 50416 / 69366 = 25208/34683", "Add: -7628 + 25208/34683 = -264536716/34683", "Subtract: 5995 - (-264536716/34683) = 472461301/34683"], "final_answer": "472461301/34683", "answer_type": "rational", "kind": "expression", "math_text": "9833 - 3838 - (-7628 + 50416 / 69366)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9833, \"b\": 3838, \"c\": -7628, \"d\": 50416, \"e\": 69366}", "seed": "710436215568217028", "semantic_fingerprint": "sha256:b7697a5f83d746108f98503d1fdaf7aae0c3304fe307b59e715aac95debba167", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000926", "prompt": "Evaluate: -3706 - (-67086) / 7061", "solution_steps": ["Divide: -67086 / 7061 = -67086/7061", "Subtract: -3706 - (-67086/7061) = -26100980/7061"], "final_answer": "-26100980/7061", "answer_type": "rational", "kind": "expression", "math_text": "-3706 - (-67086) / 7061", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3706, \"b\": -67086, \"c\": 7061}", "seed": "11107577564157334085", "semantic_fingerprint": "sha256:d9e92b936cd8b161f9e9e39d86239eda1082b6673f2b66f51b2d31b42be0e3f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000927", "prompt": "Compute: 72837 / (-3877)", "solution_steps": ["Divide: 72837 / (-3877) = -72837/3877"], "final_answer": "-72837/3877", "answer_type": "rational", "kind": "expression", "math_text": "72837 / (-3877)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72837, \"b\": -3877}", "seed": "965957747822110459", "semantic_fingerprint": "sha256:23bf0c413e209482ebaf45c6cc96735903be49f328fe84c28c3824a57a8e2240", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000928", "prompt": "Solve for x: 17(x - 3136) - 96490 = 37(x + 3084) + 4769", "solution_steps": ["Expand: 17x - 53312 - 96490 = 37(x + 3084) + 4769", "Expand: 17x - 53312 - 96490 = 37x + 114108 + 4769", "Combine constants: 17x - 149802 = 37x + 114108 + 4769", "Combine constants: 17x - 149802 = 37x + 118877", "Subtract 37x from both sides: -20x - 149802 = 118877", "Add 149802 to both sides: -20x = 268679", "Divide both sides by -20: x = -268679/20"], "final_answer": "-268679/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 3136) - 96490 = 37(x + 3084) + 4769", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3136, \"c\": 96490, \"d\": 37, \"e\": 3084, \"f\": 4769}", "seed": "10855207192568472843", "semantic_fingerprint": "sha256:ada9025be078f6bcd9bc81231e9c893106312c75c5d4aa6d7fa0b93e839c31bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000929", "prompt": "Calculate: 6667 * 1575 + (30732 - 1685) / 53068", "solution_steps": ["Multiply: 6667 * 1575 = 10500525", "Subtract: 30732 - 1685 = 29047", "Divide: 29047 / 53068 = 29047/53068", "Add: 10500525 + 29047/53068 = 557241889747/53068"], "final_answer": "557241889747/53068", "answer_type": "rational", "kind": "expression", "math_text": "6667 * 1575 + (30732 - 1685) / 53068", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6667, \"b\": 1575, \"c\": 30732, \"d\": 1685, \"e\": 53068}", "seed": "5236305910505592602", "semantic_fingerprint": "sha256:30a7bd7afd2cb774163064344fa9fd7b52386dd369db86dae1d9ac09e6daa31a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000930", "prompt": "Find x: -24(x + 1522) = 32x - 1222", "solution_steps": ["Expand: -24x - 36528 = 32x - 1222", "Subtract 32x from both sides: -56x - 36528 = -1222", "Add 36528 to both sides: -56x = 35306", "Divide both sides by -56: x = -17653/28"], "final_answer": "-17653/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 1522) = 32x - 1222", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 1522, \"c\": 32, \"d\": 1222}", "seed": "16841741214669105785", "semantic_fingerprint": "sha256:d221d25ef3d7f94e67631b909684aac872b66eebb4684361f353db3eb6a625fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000931", "prompt": "Evaluate: 24566 + (-26487)", "solution_steps": ["Add: 24566 + (-26487) = -1921"], "final_answer": "-1921", "answer_type": "integer", "kind": "expression", "math_text": "24566 + (-26487)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 24566, \"b\": -26487}", "seed": "562781038981416293", "semantic_fingerprint": "sha256:0ebf25130e83484e53f025ffc3b29aa2bb9b3630aa76a861545c79c67101bb89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000932", "prompt": "Calculate: -9791 - 8104 + 28949 * 2668", "solution_steps": ["Subtract: -9791 - 8104 = -17895", "Multiply: 28949 * 2668 = 77235932", "Add: -17895 + 77235932 = 77218037"], "final_answer": "77218037", "answer_type": "integer", "kind": "expression", "math_text": "-9791 - 8104 + 28949 * 2668", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9791, \"b\": 8104, \"c\": 28949, \"d\": 2668}", "seed": "7544390901545651598", "semantic_fingerprint": "sha256:1c8f799871c9b890318d00d81f30dd5c505794e85c0b10dfb9542c98097a2603", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000933", "prompt": "Calculate: -5588 * (-3417 - (-53803))", "solution_steps": ["Subtract: -3417 - (-53803) = 50386", "Multiply: -5588 * 50386 = -281556968"], "final_answer": "-281556968", "answer_type": "integer", "kind": "expression", "math_text": "-5588 * (-3417 - (-53803))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5588, \"b\": -3417, \"c\": -53803}", "seed": "9804888462817895463", "semantic_fingerprint": "sha256:e5f73a7030e6a18c904f532efb663c18c951851fd8b0df90c2a78127ad388707", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000934", "prompt": "What is 42430 / (-92316) + (-2739)?", "solution_steps": ["Divide: 42430 / (-92316) = -21215/46158", "Add: -21215/46158 + (-2739) = -126447977/46158"], "final_answer": "-126447977/46158", "answer_type": "rational", "kind": "expression", "math_text": "42430 / (-92316) + (-2739)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42430, \"b\": -92316, \"c\": -2739}", "seed": "4612550162140643698", "semantic_fingerprint": "sha256:adcfbc424d9ec6e8b2b38f1c13dfaef2c4117728441996bc79da2bd93accebde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000935", "prompt": "Compute: -1520 - (-8766)", "solution_steps": ["Subtract: -1520 - (-8766) = 7246"], "final_answer": "7246", "answer_type": "integer", "kind": "expression", "math_text": "-1520 - (-8766)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1520, \"b\": -8766}", "seed": "12853555301448464920", "semantic_fingerprint": "sha256:59be2e04d5bd65d1f4c3344da63522dcf3dbc57e589f51e0f4c3f4f37898cb75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000936", "prompt": "Calculate: 95031 + 63335 + (-15726)", "solution_steps": ["Add: 95031 + 63335 = 158366", "Add: 158366 + (-15726) = 142640"], "final_answer": "142640", "answer_type": "integer", "kind": "expression", "math_text": "95031 + 63335 + (-15726)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95031, \"b\": 63335, \"c\": -15726}", "seed": "17973635197522309427", "semantic_fingerprint": "sha256:33f69acb536cf7e80d054c0e2f8a64f056bfb187dbe62a863e764a7b2564f70b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000937", "prompt": "Compute: (-7249 - (-5415)) * (-13605)", "solution_steps": ["Subtract: -7249 - (-5415) = -1834", "Multiply: -1834 * (-13605) = 24951570"], "final_answer": "24951570", "answer_type": "integer", "kind": "expression", "math_text": "(-7249 - (-5415)) * (-13605)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7249, \"b\": -5415, \"c\": -13605}", "seed": "8024654660008450859", "semantic_fingerprint": "sha256:e4488a595c4fdfdcf338cfcc537ba5257838860eb924ab1aa7744ab382a9588a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000938", "prompt": "Solve for x: 13x - 89125 = x", "solution_steps": ["Subtract x from both sides: 12x - 89125 = 0", "Add 89125 to both sides: 12x = 89125", "Divide both sides by 12: x = 89125/12"], "final_answer": "89125/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x - 89125 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 89125}", "seed": "11609590849031532333", "semantic_fingerprint": "sha256:0f99b6596a077be34abf29c58fb5b704f9e6d589a70c0587e695b8a2fc894ffb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000939", "prompt": "What is 7039 - 54725 * 19124?", "solution_steps": ["Multiply: 54725 * 19124 = 1046560900", "Subtract: 7039 - 1046560900 = -1046553861"], "final_answer": "-1046553861", "answer_type": "integer", "kind": "expression", "math_text": "7039 - 54725 * 19124", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7039, \"b\": 54725, \"c\": 19124}", "seed": "8621086037123124215", "semantic_fingerprint": "sha256:5a5fa522250aed664e131eb2a899d6970fcbcf98f14fbdae5b836f7a70b905a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000940", "prompt": "What is 1893 - (-9386)?", "solution_steps": ["Subtract: 1893 - (-9386) = 11279"], "final_answer": "11279", "answer_type": "integer", "kind": "expression", "math_text": "1893 - (-9386)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1893, \"b\": -9386}", "seed": "1690899404973100452", "semantic_fingerprint": "sha256:fd01ca59c7e2ac695d92ea50897ce42297ad06d2b475286a1e9cd93d9ba2b693", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000941", "prompt": "Compute: 8670 * 1805 + 89280", "solution_steps": ["Multiply: 8670 * 1805 = 15649350", "Add: 15649350 + 89280 = 15738630"], "final_answer": "15738630", "answer_type": "integer", "kind": "expression", "math_text": "8670 * 1805 + 89280", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8670, \"b\": 1805, \"c\": 89280}", "seed": "5933781055174541929", "semantic_fingerprint": "sha256:9115d07e9852f566a2576175c711aaa564a75d79cd10a4659a1989bc0aae111d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000942", "prompt": "Solve for x: 30x = 37x", "solution_steps": ["Subtract 37x from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = 37x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 37}", "seed": "6475458868648764405", "semantic_fingerprint": "sha256:beb372553b0281e735cba0f1f0a84fd403c697d062031e52046a6c8934a8275b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000943", "prompt": "Calculate: (3342 - (-1937)) / (-86622 - (-4892))", "solution_steps": ["Subtract: 3342 - (-1937) = 5279", "Subtract: -86622 - (-4892) = -81730", "Divide: 5279 / (-81730) = -5279/81730"], "final_answer": "-5279/81730", "answer_type": "rational", "kind": "expression", "math_text": "(3342 - (-1937)) / (-86622 - (-4892))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3342, \"b\": -1937, \"c\": -86622, \"d\": -4892}", "seed": "8348541345838371839", "semantic_fingerprint": "sha256:584ae1637e4b63baee1c941e6f7ff6d622e27f123b840dd52f52145c56290ae6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000944", "prompt": "What is 2397 * 8671 - (23853 + (-2075))?", "solution_steps": ["Multiply: 2397 * 8671 = 20784387", "Add: 23853 + (-2075) = 21778", "Subtract: 20784387 - 21778 = 20762609"], "final_answer": "20762609", "answer_type": "integer", "kind": "expression", "math_text": "2397 * 8671 - (23853 + (-2075))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2397, \"b\": 8671, \"c\": 23853, \"d\": -2075}", "seed": "376714828782054505", "semantic_fingerprint": "sha256:f7db079512e8b1dd1c8d7ce9b66b3c783ee12e12eb4b7d50a982711287dd898e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000945", "prompt": "What value of x satisfies 23(x + 89208) = 20(x - 7728)?", "solution_steps": ["Expand: 23x + 2051784 = 20(x - 7728)", "Expand: 23x + 2051784 = 20x - 154560", "Subtract 20x from both sides: 3x + 2051784 = -154560", "Subtract 2051784 from both sides: 3x = -2206344", "Divide both sides by 3: x = -735448"], "final_answer": "-735448", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 89208) = 20(x - 7728)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 89208, \"c\": 20, \"d\": 7728}", "seed": "8964420272719236673", "semantic_fingerprint": "sha256:19c050f28d33931b2d80a4430d41568a33f6a2abfda8d49b652d72f9002881a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000946", "prompt": "Solve the equation -32x + 6989 = x - 1872 for x.", "solution_steps": ["Subtract x from both sides: -33x + 6989 = -1872", "Subtract 6989 from both sides: -33x = -8861", "Divide both sides by -33: x = 8861/33"], "final_answer": "8861/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x + 6989 = x - 1872", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 6989, \"c\": 1872}", "seed": "8066682349215466491", "semantic_fingerprint": "sha256:cfdd57a7ff553d4a63a9c6d360ad93853739abe045ab620d1c01ec7b3f9234fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000947", "prompt": "Solve the equation -36(x + 9810) = -19(x + 68459) - 51924 for x.", "solution_steps": ["Expand: -36x - 353160 = -19(x + 68459) - 51924", "Expand: -36x - 353160 = -19x - 1300721 - 51924", "Combine constants: -36x - 353160 = -19x - 1352645", "Add 19x to both sides: -17x - 353160 = -1352645", "Add 353160 to both sides: -17x = -999485", "Divide both sides by -17: x = 999485/17"], "final_answer": "999485/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 9810) = -19(x + 68459) - 51924", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 9810, \"c\": -19, \"d\": 68459, \"e\": 51924}", "seed": "11166140742240913892", "semantic_fingerprint": "sha256:0855d1c1c5fa44881ae1bdbb87fd2aa74f943febbe4ec10e214fb2a7106effd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000948", "prompt": "What is 5999 - (-4940 - (-8596))?", "solution_steps": ["Subtract: -4940 - (-8596) = 3656", "Subtract: 5999 - 3656 = 2343"], "final_answer": "2343", "answer_type": "integer", "kind": "expression", "math_text": "5999 - (-4940 - (-8596))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5999, \"b\": -4940, \"c\": -8596}", "seed": "13083408323970149967", "semantic_fingerprint": "sha256:9e08af94ed0789e3ec4640907647616a66c89be8b98e2d2da98260c66df074ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000949", "prompt": "Calculate: -9024 + (82603 - (-57726))", "solution_steps": ["Subtract: 82603 - (-57726) = 140329", "Add: -9024 + 140329 = 131305"], "final_answer": "131305", "answer_type": "integer", "kind": "expression", "math_text": "-9024 + (82603 - (-57726))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9024, \"b\": 82603, \"c\": -57726}", "seed": "12675606605074496746", "semantic_fingerprint": "sha256:44b294f3abe0e7fb3367e0962c77b72aae0b0859e51839c197154e1278f40c85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000950", "prompt": "Calculate: 5229 / (-4541 - (19718 - 91379))", "solution_steps": ["Subtract: 19718 - 91379 = -71661", "Subtract: -4541 - (-71661) = 67120", "Divide: 5229 / 67120 = 5229/67120"], "final_answer": "5229/67120", "answer_type": "rational", "kind": "expression", "math_text": "5229 / (-4541 - (19718 - 91379))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5229, \"b\": -4541, \"c\": 19718, \"d\": 91379}", "seed": "13404816892362299150", "semantic_fingerprint": "sha256:4364050fdaf3d91c192e13f25d4e7d7cf13fb8b14a73657656930bd57ce429f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000951", "prompt": "Solve for x: x = 38(x - 7670)", "solution_steps": ["Expand: x = 38x - 291460", "Subtract 38x from both sides: -37x = -291460", "Divide both sides by -37: x = 291460/37"], "final_answer": "291460/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 38(x - 7670)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7670}", "seed": "6404910178508582001", "semantic_fingerprint": "sha256:8eace59d8494c570fa492f1510a8b815d6564d3c1ae97e35643d99b1ddfbe86d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000952", "prompt": "Solve the equation x + 1600 = 33x for x.", "solution_steps": ["Subtract 33x from both sides: -32x + 1600 = 0", "Subtract 1600 from both sides: -32x = -1600", "Divide both sides by -32: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1600 = 33x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 1600, \"x\": 50}", "seed": "2293524245951844634", "semantic_fingerprint": "sha256:8f717d7a3aff9f40b19b21ec93446d7504dc620f412fa63426ac2c8a754a00a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000953", "prompt": "Evaluate: 52191 * 83559", "solution_steps": ["Multiply: 52191 * 83559 = 4361027769"], "final_answer": "4361027769", "answer_type": "integer", "kind": "expression", "math_text": "52191 * 83559", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 52191, \"b\": 83559}", "seed": "6682047345627949084", "semantic_fingerprint": "sha256:7ca93fb51bdf39208c55124a1249c9304535a663eb4b7d14a1479f4057ce82ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000954", "prompt": "What value of x satisfies x - 27993 = -22x - 26682?", "solution_steps": ["Add 22x to both sides: 23x - 27993 = -26682", "Add 27993 to both sides: 23x = 1311", "Divide both sides by 23: x = 57"], "final_answer": "57", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 27993 = -22x - 26682", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27993, \"b\": -22, \"d\": -26682, \"x\": 57}", "seed": "2442316964744930842", "semantic_fingerprint": "sha256:6b9985bde799b2ec847cd2a1ef3d6c4774997b83b573b648a412034f4fa58aa7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000955", "prompt": "What value of x satisfies -17(x + 90034) = x?", "solution_steps": ["Expand: -17x - 1530578 = x", "Subtract x from both sides: -18x - 1530578 = 0", "Add 1530578 to both sides: -18x = 1530578", "Divide both sides by -18: x = -765289/9"], "final_answer": "-765289/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 90034) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 90034}", "seed": "7707406737256483264", "semantic_fingerprint": "sha256:c56dee917f6c001c5b5c60816ef625a6d2e9988382661b19e8f988379541890e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000956", "prompt": "Calculate: -9200 * (96397 - 6598)", "solution_steps": ["Subtract: 96397 - 6598 = 89799", "Multiply: -9200 * 89799 = -826150800"], "final_answer": "-826150800", "answer_type": "integer", "kind": "expression", "math_text": "-9200 * (96397 - 6598)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9200, \"b\": 96397, \"c\": 6598}", "seed": "17312866825651142376", "semantic_fingerprint": "sha256:6cb3b95f5646fb5742bd7cbeee2fc50cb6fa03708135207d8412d6061fbad3ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000957", "prompt": "What is -76156 / 7886?", "solution_steps": ["Divide: -76156 / 7886 = -38078/3943"], "final_answer": "-38078/3943", "answer_type": "rational", "kind": "expression", "math_text": "-76156 / 7886", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76156, \"b\": 7886}", "seed": "10506099510906482343", "semantic_fingerprint": "sha256:ae2fcfb4be3bad5809d431806a0f163fc36a7badc0f8bc2147b03de3b4c54abf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000958", "prompt": "Compute: 8883 * 1116", "solution_steps": ["Multiply: 8883 * 1116 = 9913428"], "final_answer": "9913428", "answer_type": "integer", "kind": "expression", "math_text": "8883 * 1116", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8883, \"b\": 1116}", "seed": "6228346855359852358", "semantic_fingerprint": "sha256:e4630d4d39006fa33f21de07189ceb170bd2be8134bae1833376e19cd87bc4a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000959", "prompt": "Calculate: 2853 * (-1809) - 7012", "solution_steps": ["Multiply: 2853 * (-1809) = -5161077", "Subtract: -5161077 - 7012 = -5168089"], "final_answer": "-5168089", "answer_type": "integer", "kind": "expression", "math_text": "2853 * (-1809) - 7012", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2853, \"b\": -1809, \"c\": 7012}", "seed": "1204995167634807650", "semantic_fingerprint": "sha256:649b970930c8a2966f97960e266a4fa6c86f8f517169604caa6d4041d867eaf4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000960", "prompt": "Compute: 2665 + (6401 - 4093 * (-80070))", "solution_steps": ["Multiply: 4093 * (-80070) = -327726510", "Subtract: 6401 - (-327726510) = 327732911", "Add: 2665 + 327732911 = 327735576"], "final_answer": "327735576", "answer_type": "integer", "kind": "expression", "math_text": "2665 + (6401 - 4093 * (-80070))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2665, \"b\": 6401, \"c\": 4093, \"d\": -80070}", "seed": "529161413382720471", "semantic_fingerprint": "sha256:7f9d29583cee7c0816417257e6c6b636e5b99659b4d411f972b290998bbf99c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000961", "prompt": "Evaluate: (7858 - (-5846)) * (-9671)", "solution_steps": ["Subtract: 7858 - (-5846) = 13704", "Multiply: 13704 * (-9671) = -132531384"], "final_answer": "-132531384", "answer_type": "integer", "kind": "expression", "math_text": "(7858 - (-5846)) * (-9671)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7858, \"b\": -5846, \"c\": -9671}", "seed": "13518774271380678304", "semantic_fingerprint": "sha256:4dcf1184b601110a3d94d11368d36a78332bdf4d03229933163adc99a54a49e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000962", "prompt": "Calculate: -5439 * (-14979) + 7240 / 6708", "solution_steps": ["Multiply: -5439 * (-14979) = 81470781", "Divide: 7240 / 6708 = 1810/1677", "Add: 81470781 + 1810/1677 = 136626501547/1677"], "final_answer": "136626501547/1677", "answer_type": "rational", "kind": "expression", "math_text": "-5439 * (-14979) + 7240 / 6708", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5439, \"b\": -14979, \"c\": 7240, \"d\": 6708}", "seed": "5523452340129747788", "semantic_fingerprint": "sha256:666a2669d414f030518f4f83e924647c72aa6727a3dcaf647b434705d9367455", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000963", "prompt": "Evaluate: 15769 * 6127", "solution_steps": ["Multiply: 15769 * 6127 = 96616663"], "final_answer": "96616663", "answer_type": "integer", "kind": "expression", "math_text": "15769 * 6127", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 15769, \"b\": 6127}", "seed": "12748557434157168831", "semantic_fingerprint": "sha256:dfcc1df315f0e485836456989430019fb5486f1fa1ada157d7c3850c94205897", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000964", "prompt": "Calculate: 51907 - 4870", "solution_steps": ["Subtract: 51907 - 4870 = 47037"], "final_answer": "47037", "answer_type": "integer", "kind": "expression", "math_text": "51907 - 4870", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 51907, \"b\": 4870}", "seed": "3243849714150175584", "semantic_fingerprint": "sha256:421c07e47e38c630d2a8f87bbe567c0da0234163db965f36aa2b42230ee5c09a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000965", "prompt": "Evaluate: 87068 - (-6080) - (70424 - (-74224))", "solution_steps": ["Subtract: 87068 - (-6080) = 93148", "Subtract: 70424 - (-74224) = 144648", "Subtract: 93148 - 144648 = -51500"], "final_answer": "-51500", "answer_type": "integer", "kind": "expression", "math_text": "87068 - (-6080) - (70424 - (-74224))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87068, \"b\": -6080, \"c\": 70424, \"d\": -74224}", "seed": "7524004470533950589", "semantic_fingerprint": "sha256:0bd5f25bef84c02a16bc5b79664da138e35ff2de7c877e3feb150e24aedc9059", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000966", "prompt": "What is 28205 + 2631?", "solution_steps": ["Add: 28205 + 2631 = 30836"], "final_answer": "30836", "answer_type": "integer", "kind": "expression", "math_text": "28205 + 2631", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 28205, \"b\": 2631}", "seed": "5388468420796425563", "semantic_fingerprint": "sha256:e3133e9ddc59775aad0b3204ab36cf03dab2a450cbde874fd0cd6a8491382728", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000967", "prompt": "Compute: 8595 + (-10010)", "solution_steps": ["Add: 8595 + (-10010) = -1415"], "final_answer": "-1415", "answer_type": "integer", "kind": "expression", "math_text": "8595 + (-10010)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8595, \"b\": -10010}", "seed": "4616403749821021914", "semantic_fingerprint": "sha256:f73332ead2d64fe50c94fd8e45c8dca856bf9e318c66e5e0e69d3f9e5e11e8b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000968", "prompt": "Evaluate: -9801 + 53742 / (-93710)", "solution_steps": ["Divide: 53742 / (-93710) = -26871/46855", "Add: -9801 + (-26871/46855) = -459252726/46855"], "final_answer": "-459252726/46855", "answer_type": "rational", "kind": "expression", "math_text": "-9801 + 53742 / (-93710)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9801, \"b\": 53742, \"c\": -93710}", "seed": "6736213389267098035", "semantic_fingerprint": "sha256:20905516f039f548c77ef7561fe7eb164d598d1a2e21a4b70e9beea694948a5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000969", "prompt": "Evaluate: -2732 + (-5929)", "solution_steps": ["Add: -2732 + (-5929) = -8661"], "final_answer": "-8661", "answer_type": "integer", "kind": "expression", "math_text": "-2732 + (-5929)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2732, \"b\": -5929}", "seed": "11672520595712069346", "semantic_fingerprint": "sha256:945c999afb8a774459def0dd8a07a4a4fb3d6d49e96d4f7c4d700dd8ffce057b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000970", "prompt": "Compute: -44070 / (-4215) * (1634 * (-22992) - (-84561))", "solution_steps": ["Divide: -44070 / (-4215) = 2938/281", "Multiply: 1634 * (-22992) = -37568928", "Subtract: -37568928 - (-84561) = -37484367", "Multiply: (2938/281) * (-37484367) = -110129070246/281"], "final_answer": "-110129070246/281", "answer_type": "rational", "kind": "expression", "math_text": "-44070 / (-4215) * (1634 * (-22992) - (-84561))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -44070, \"b\": -4215, \"c\": 1634, \"d\": -22992, \"e\": -84561}", "seed": "6263232210907688806", "semantic_fingerprint": "sha256:94412fcd63889000ce8f96945947c392365e9e223d04af57da157530bc67461e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000971", "prompt": "Solve for x: 17x = 32x - 1980", "solution_steps": ["Subtract 32x from both sides: -15x = -1980", "Divide both sides by -15: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = 32x - 1980", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 32, \"d\": -1980, \"x\": 132}", "seed": "11887277297065490610", "semantic_fingerprint": "sha256:26998acdc252f73b2b5ff5999e299227d480408e9008e1d721b29725c003d1e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000972", "prompt": "What is 51588 + (-8612) / (-38218) * (6560 - 69467)?", "solution_steps": ["Divide: -8612 / (-38218) = 4306/19109", "Subtract: 6560 - 69467 = -62907", "Multiply: (4306/19109) * (-62907) = -270877542/19109", "Add: 51588 + (-270877542/19109) = 714917550/19109"], "final_answer": "714917550/19109", "answer_type": "rational", "kind": "expression", "math_text": "51588 + (-8612) / (-38218) * (6560 - 69467)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51588, \"b\": -8612, \"c\": -38218, \"d\": 6560, \"e\": 69467}", "seed": "15905088287227024565", "semantic_fingerprint": "sha256:71b566ded2f0c579dd6d4419ae64c44eefaeeeba2228f23a596e757d5be181b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000973", "prompt": "What is -47676 + (-6455)?", "solution_steps": ["Add: -47676 + (-6455) = -54131"], "final_answer": "-54131", "answer_type": "integer", "kind": "expression", "math_text": "-47676 + (-6455)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -47676, \"b\": -6455}", "seed": "15683646490745652131", "semantic_fingerprint": "sha256:e037d6e341c3586b004ee78a97b906c3fb35f44d56ccbfb79d99fb32b663562e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000974", "prompt": "Compute: 27104 - 28201 - 8413 + 51311 * 3139", "solution_steps": ["Subtract: 27104 - 28201 = -1097", "Subtract: -1097 - 8413 = -9510", "Multiply: 51311 * 3139 = 161065229", "Add: -9510 + 161065229 = 161055719"], "final_answer": "161055719", "answer_type": "integer", "kind": "expression", "math_text": "27104 - 28201 - 8413 + 51311 * 3139", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27104, \"b\": 28201, \"c\": 8413, \"d\": 51311, \"e\": 3139}", "seed": "12000850357481832139", "semantic_fingerprint": "sha256:1b19c5cc67d8530c577944f3ca2bc2026c6eb5bfdc8390a75634162083784e65", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000975", "prompt": "Compute: -47674 + (-83650) + (-6916) / (-66000)", "solution_steps": ["Add: -47674 + (-83650) = -131324", "Divide: -6916 / (-66000) = 1729/16500", "Add: -131324 + 1729/16500 = -2166844271/16500"], "final_answer": "-2166844271/16500", "answer_type": "rational", "kind": "expression", "math_text": "-47674 + (-83650) + (-6916) / (-66000)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -47674, \"b\": -83650, \"c\": -6916, \"d\": -66000}", "seed": "13027387380003000182", "semantic_fingerprint": "sha256:17629ed3327d03a020bb12bac45f201dbc6de634286f5336812d5f5400020175", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000976", "prompt": "Calculate: -6994 / (-70691) - (-74253)", "solution_steps": ["Divide: -6994 / (-70691) = 6994/70691", "Subtract: 6994/70691 - (-74253) = 5249025817/70691"], "final_answer": "5249025817/70691", "answer_type": "rational", "kind": "expression", "math_text": "-6994 / (-70691) - (-74253)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6994, \"b\": -70691, \"c\": -74253}", "seed": "1620907939341369948", "semantic_fingerprint": "sha256:98659d722679b7bcdfb6ae9b5726e6cc54dcf7a81284702fcfb49d64e150ef9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000977", "prompt": "Calculate: -6421 + 95338 - (-11840)", "solution_steps": ["Add: -6421 + 95338 = 88917", "Subtract: 88917 - (-11840) = 100757"], "final_answer": "100757", "answer_type": "integer", "kind": "expression", "math_text": "-6421 + 95338 - (-11840)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6421, \"b\": 95338, \"c\": -11840}", "seed": "2287529065343578041", "semantic_fingerprint": "sha256:c83599c60afe956002f6f06adc53c2bac22ba21280b36b53140beb1d4b89d6cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000978", "prompt": "What is 4304 * (5235 + 9699)?", "solution_steps": ["Add: 5235 + 9699 = 14934", "Multiply: 4304 * 14934 = 64275936"], "final_answer": "64275936", "answer_type": "integer", "kind": "expression", "math_text": "4304 * (5235 + 9699)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4304, \"b\": 5235, \"c\": 9699}", "seed": "17537316539551026385", "semantic_fingerprint": "sha256:6022514ae8a6a15392df912b77d5693b615a4ccdaa6833f95c7692ac948a06d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000979", "prompt": "Evaluate: -1816 * (6577 / (-3753)) * (-31329) + (-1132)", "solution_steps": ["Divide: 6577 / (-3753) = -6577/3753", "Multiply: -1816 * (-6577/3753) = 11943832/3753", "Multiply: (11943832/3753) * (-31329) = -41576479192/417", "Add: -41576479192/417 + (-1132) = -41576951236/417"], "final_answer": "-41576951236/417", "answer_type": "rational", "kind": "expression", "math_text": "-1816 * (6577 / (-3753)) * (-31329) + (-1132)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1816, \"b\": 6577, \"c\": -3753, \"d\": -31329, \"e\": -1132}", "seed": "14777129655571295552", "semantic_fingerprint": "sha256:a123935ecdb418c659948d064a1b0725d691dd81cec724438d8e63e97a880f48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000980", "prompt": "Calculate: -64143 - 99492", "solution_steps": ["Subtract: -64143 - 99492 = -163635"], "final_answer": "-163635", "answer_type": "integer", "kind": "expression", "math_text": "-64143 - 99492", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -64143, \"b\": 99492}", "seed": "5727579422922210973", "semantic_fingerprint": "sha256:b3d61aa95e824e7efca31afb09778159004d1c41bb22235301850f9d1b2f462a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000981", "prompt": "What is -8134 - (6574 - (-4812) + (-8986)) / 31178?", "solution_steps": ["Subtract: 6574 - (-4812) = 11386", "Add: 11386 + (-8986) = 2400", "Divide: 2400 / 31178 = 1200/15589", "Subtract: -8134 - 1200/15589 = -126802126/15589"], "final_answer": "-126802126/15589", "answer_type": "rational", "kind": "expression", "math_text": "-8134 - (6574 - (-4812) + (-8986)) / 31178", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8134, \"b\": 6574, \"c\": -4812, \"d\": -8986, \"e\": 31178}", "seed": "9810903861709407880", "semantic_fingerprint": "sha256:7694d477167007a1cea494f637f9e052dacd1e3b8bf9cc4a771ce4f785d9daee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000982", "prompt": "Solve for x: 34(x - 47294) = 16(x + 1648) - 97986", "solution_steps": ["Expand: 34x - 1607996 = 16(x + 1648) - 97986", "Expand: 34x - 1607996 = 16x + 26368 - 97986", "Combine constants: 34x - 1607996 = 16x - 71618", "Subtract 16x from both sides: 18x - 1607996 = -71618", "Add 1607996 to both sides: 18x = 1536378", "Divide both sides by 18: x = 256063/3"], "final_answer": "256063/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 47294) = 16(x + 1648) - 97986", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 47294, \"c\": 16, \"d\": 1648, \"e\": 97986}", "seed": "12895745592032265542", "semantic_fingerprint": "sha256:3cbf415ebc082f423161627258268ddc469e7c101543c5df8de5f6e3fa8688ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000983", "prompt": "What is 3869 - 3395 + 4709?", "solution_steps": ["Subtract: 3869 - 3395 = 474", "Add: 474 + 4709 = 5183"], "final_answer": "5183", "answer_type": "integer", "kind": "expression", "math_text": "3869 - 3395 + 4709", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3869, \"b\": 3395, \"c\": 4709}", "seed": "14662250943772832411", "semantic_fingerprint": "sha256:5646f85eb111fbc4c9023348e8159d8bc10d1bb2517d934290f03d4da8b881d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000984", "prompt": "Evaluate: 55040 + 43469 - (-3945)", "solution_steps": ["Add: 55040 + 43469 = 98509", "Subtract: 98509 - (-3945) = 102454"], "final_answer": "102454", "answer_type": "integer", "kind": "expression", "math_text": "55040 + 43469 - (-3945)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55040, \"b\": 43469, \"c\": -3945}", "seed": "12005487382606115423", "semantic_fingerprint": "sha256:9d2164ba0b58e8095752827d00e4d60d8788a29d71557035dd0a2fab08b30523", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000985", "prompt": "Compute: 10325 - (-5358) / (-43229)", "solution_steps": ["Divide: -5358 / (-43229) = 5358/43229", "Subtract: 10325 - 5358/43229 = 446334067/43229"], "final_answer": "446334067/43229", "answer_type": "rational", "kind": "expression", "math_text": "10325 - (-5358) / (-43229)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10325, \"b\": -5358, \"c\": -43229}", "seed": "1608560816168904420", "semantic_fingerprint": "sha256:5e3eadcf8f81c0b670bc9033a8bfd5f5ea56eae526ede0ea005e6d503172a03c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000986", "prompt": "Compute: -2180 - 7730", "solution_steps": ["Subtract: -2180 - 7730 = -9910"], "final_answer": "-9910", "answer_type": "integer", "kind": "expression", "math_text": "-2180 - 7730", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2180, \"b\": 7730}", "seed": "13103755073100820519", "semantic_fingerprint": "sha256:00842ce008ea24bcf79a8f5f112b7a35dce84ba06b75a04758ec5d2e1a44f417", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000987", "prompt": "What is 4619 / (15675 / (-52148))?", "solution_steps": ["Divide: 15675 / (-52148) = -15675/52148", "Divide: 4619 / (-15675/52148) = -240871612/15675"], "final_answer": "-240871612/15675", "answer_type": "rational", "kind": "expression", "math_text": "4619 / (15675 / (-52148))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4619, \"b\": 15675, \"c\": -52148}", "seed": "1436545181151733381", "semantic_fingerprint": "sha256:a8d2a47246189d8f5114835a4d10110c43cadb3d4187725e1068aa1b233c994a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000988", "prompt": "Compute: -17194 / (-6841) + (-3877) + (-45168)", "solution_steps": ["Divide: -17194 / (-6841) = 17194/6841", "Add: 17194/6841 + (-3877) = -26505363/6841", "Add: -26505363/6841 + (-45168) = -335499651/6841"], "final_answer": "-335499651/6841", "answer_type": "rational", "kind": "expression", "math_text": "-17194 / (-6841) + (-3877) + (-45168)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17194, \"b\": -6841, \"c\": -3877, \"d\": -45168}", "seed": "12328118919704050008", "semantic_fingerprint": "sha256:d68033d8b593a9cab880507f9ba344a58ce8cc953fd45186b6d4fe109dded007", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000989", "prompt": "Solve for x: 35(x + 2684) - 96422 = x", "solution_steps": ["Expand: 35x + 93940 - 96422 = x", "Combine constants: 35x - 2482 = x", "Subtract x from both sides: 34x - 2482 = 0", "Add 2482 to both sides: 34x = 2482", "Divide both sides by 34: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 2684) - 96422 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2684, \"d\": -96422, \"x\": 73}", "seed": "14856091936028816345", "semantic_fingerprint": "sha256:77f5b98da1cd83519c64ca3cf68bcc17a353412480189a18cf9a5a8145bc764e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000990", "prompt": "What is (20604 - 3023) / (-74160) - 50495?", "solution_steps": ["Subtract: 20604 - 3023 = 17581", "Divide: 17581 / (-74160) = -17581/74160", "Subtract: -17581/74160 - 50495 = -3744726781/74160"], "final_answer": "-3744726781/74160", "answer_type": "rational", "kind": "expression", "math_text": "(20604 - 3023) / (-74160) - 50495", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20604, \"b\": 3023, \"c\": -74160, \"d\": 50495}", "seed": "12049220981699430290", "semantic_fingerprint": "sha256:6014d7e024b250b5047c097be6cf5db363363364195b0b590f5103f181f1ae8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000991", "prompt": "Solve for x: 28(x - 5544) + 5202 = 32(x + 58752) + 3975", "solution_steps": ["Expand: 28x - 155232 + 5202 = 32(x + 58752) + 3975", "Expand: 28x - 155232 + 5202 = 32x + 1880064 + 3975", "Combine constants: 28x - 150030 = 32x + 1880064 + 3975", "Combine constants: 28x - 150030 = 32x + 1884039", "Subtract 32x from both sides: -4x - 150030 = 1884039", "Add 150030 to both sides: -4x = 2034069", "Divide both sides by -4: x = -2034069/4"], "final_answer": "-2034069/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 5544) + 5202 = 32(x + 58752) + 3975", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 5544, \"c\": 5202, \"d\": 32, \"e\": 58752, \"f\": 3975}", "seed": "17282529004010066319", "semantic_fingerprint": "sha256:45c503b15b7a0a590fcaf02898be5518196e9da0d338b95f1aeb9027afefa92e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000992", "prompt": "Evaluate: 8730 / (-45931 + (-2867) - (-3459) * 7262)", "solution_steps": ["Add: -45931 + (-2867) = -48798", "Multiply: -3459 * 7262 = -25119258", "Subtract: -48798 - (-25119258) = 25070460", "Divide: 8730 / 25070460 = 291/835682"], "final_answer": "291/835682", "answer_type": "rational", "kind": "expression", "math_text": "8730 / (-45931 + (-2867) - (-3459) * 7262)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8730, \"b\": -45931, \"c\": -2867, \"d\": -3459, \"e\": 7262}", "seed": "8080859666304655998", "semantic_fingerprint": "sha256:e4f779bd28bc6fe8406728758d78edfa7efd1d06c8b9fb418a85b2df1842843a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000993", "prompt": "What value of x satisfies -24(x + 6802) = 17(x + 8503)?", "solution_steps": ["Expand: -24x - 163248 = 17(x + 8503)", "Expand: -24x - 163248 = 17x + 144551", "Subtract 17x from both sides: -41x - 163248 = 144551", "Add 163248 to both sides: -41x = 307799", "Divide both sides by -41: x = -307799/41"], "final_answer": "-307799/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 6802) = 17(x + 8503)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 6802, \"c\": 17, \"d\": 8503}", "seed": "5498940199090348400", "semantic_fingerprint": "sha256:7d9ca8ae008b01e4dc362cca655c478c9d366859455ba2300209b2d3d2fffd84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000994", "prompt": "Calculate: 59262 - (-72419) - (-53035) - 43223 / (-7407 + (-31458))", "solution_steps": ["Subtract: 59262 - (-72419) = 131681", "Subtract: 131681 - (-53035) = 184716", "Add: -7407 + (-31458) = -38865", "Divide: 43223 / (-38865) = -43223/38865", "Subtract: 184716 - (-43223/38865) = 7179030563/38865"], "final_answer": "7179030563/38865", "answer_type": "rational", "kind": "expression", "math_text": "59262 - (-72419) - (-53035) - 43223 / (-7407 + (-31458))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 59262, \"b\": -72419, \"c\": -53035, \"d\": 43223, \"e\": -7407, \"f\": -31458}", "seed": "1415605864511794427", "semantic_fingerprint": "sha256:8d891ea75453150942c58271ba3516496c67a5d9b946d01e8e41cf11b82c7d94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000995", "prompt": "Compute: (1244 + (-18649) / (-2428)) * 1268", "solution_steps": ["Divide: -18649 / (-2428) = 18649/2428", "Add: 1244 + 18649/2428 = 3039081/2428", "Multiply: (3039081/2428) * 1268 = 963388677/607"], "final_answer": "963388677/607", "answer_type": "rational", "kind": "expression", "math_text": "(1244 + (-18649) / (-2428)) * 1268", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1244, \"b\": -18649, \"c\": -2428, \"d\": 1268}", "seed": "11778073815911628091", "semantic_fingerprint": "sha256:cf030ea7f74120211e559d7480f7e4e9d0a9a750123930a4160018acfcfe7d40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000996", "prompt": "What value of x satisfies x - 42356 = -22(x + 2922) + 25516?", "solution_steps": ["Expand: x - 42356 = -22x - 64284 + 25516", "Combine constants: x - 42356 = -22x - 38768", "Add 22x to both sides: 23x - 42356 = -38768", "Add 42356 to both sides: 23x = 3588", "Divide both sides by 23: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 42356 = -22(x + 2922) + 25516", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42356, \"b\": -22, \"c\": 2922, \"e\": 25516, \"x\": 156}", "seed": "14046589555775655032", "semantic_fingerprint": "sha256:9fb221f1372cb7279a3f4d19a6afa833e1c886b1ddca2d59b606e65e001b2c7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000997", "prompt": "Calculate: (-5336 * 15984 - (-9162)) / (4616 + (-2088))", "solution_steps": ["Multiply: -5336 * 15984 = -85290624", "Subtract: -85290624 - (-9162) = -85281462", "Add: 4616 + (-2088) = 2528", "Divide: -85281462 / 2528 = -42640731/1264"], "final_answer": "-42640731/1264", "answer_type": "rational", "kind": "expression", "math_text": "(-5336 * 15984 - (-9162)) / (4616 + (-2088))", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5336, \"b\": 15984, \"c\": -9162, \"d\": 4616, \"e\": -2088}", "seed": "12913764376945492075", "semantic_fingerprint": "sha256:3e7ce3ae722d1df3ff9be3d693be495b79f087d829636c6dfa5350f6697fa362", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000998", "prompt": "Evaluate: -71915 / (3465 / 1895) * (-91548)", "solution_steps": ["Divide: 3465 / 1895 = 693/379", "Divide: -71915 / (693/379) = -27255785/693", "Multiply: (-27255785/693) * (-91548) = 277245845020/77"], "final_answer": "277245845020/77", "answer_type": "rational", "kind": "expression", "math_text": "-71915 / (3465 / 1895) * (-91548)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71915, \"b\": 3465, \"c\": 1895, \"d\": -91548}", "seed": "17845379585141316519", "semantic_fingerprint": "sha256:a4a0bc2c9cc527e2258a106ead0a70acece91388b85dae75cace877c490b9b9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00000999", "prompt": "Evaluate: 6785 * (4839 - 48835)", "solution_steps": ["Subtract: 4839 - 48835 = -43996", "Multiply: 6785 * (-43996) = -298512860"], "final_answer": "-298512860", "answer_type": "integer", "kind": "expression", "math_text": "6785 * (4839 - 48835)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6785, \"b\": 4839, \"c\": 48835}", "seed": "8248691609369868329", "semantic_fingerprint": "sha256:41b11e7a8a5abbe48dbdcfc8e07fe990cb2cd5e8c494b3df3a5b016f0755a017", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001000", "prompt": "What is (1706 + 18465) * 9241?", "solution_steps": ["Add: 1706 + 18465 = 20171", "Multiply: 20171 * 9241 = 186400211"], "final_answer": "186400211", "answer_type": "integer", "kind": "expression", "math_text": "(1706 + 18465) * 9241", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1706, \"b\": 18465, \"c\": 9241}", "seed": "4693957284938504649", "semantic_fingerprint": "sha256:c55fdbc380d610c22f04b665d225336c1cabe1cede32d0065044b735ccf1c2d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001001", "prompt": "Evaluate: -52643 * (76170 - (-41551))", "solution_steps": ["Subtract: 76170 - (-41551) = 117721", "Multiply: -52643 * 117721 = -6197186603"], "final_answer": "-6197186603", "answer_type": "integer", "kind": "expression", "math_text": "-52643 * (76170 - (-41551))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52643, \"b\": 76170, \"c\": -41551}", "seed": "9187443818291543490", "semantic_fingerprint": "sha256:75c5f89488a4b4c8a881598f233695f51f4c262cb5c45779d66780dd21a9c886", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001002", "prompt": "Compute: 8791 * (-72867)", "solution_steps": ["Multiply: 8791 * (-72867) = -640573797"], "final_answer": "-640573797", "answer_type": "integer", "kind": "expression", "math_text": "8791 * (-72867)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8791, \"b\": -72867}", "seed": "7306320504342289320", "semantic_fingerprint": "sha256:735b327fa3cac70ea323d7e62f51e3e596818521ed34f55ce7adb29d88c229ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001003", "prompt": "Find x: 24(x - 7519) = 27(x + 4194)", "solution_steps": ["Expand: 24x - 180456 = 27(x + 4194)", "Expand: 24x - 180456 = 27x + 113238", "Subtract 27x from both sides: -3x - 180456 = 113238", "Add 180456 to both sides: -3x = 293694", "Divide both sides by -3: x = -97898"], "final_answer": "-97898", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 7519) = 27(x + 4194)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 7519, \"c\": 27, \"d\": 4194}", "seed": "14800877755088868491", "semantic_fingerprint": "sha256:a3afb4c0f8f167fee4e643a42fe03aa619392d02770c333d4cc9a5d58c2a394b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001004", "prompt": "Solve the equation x + 4459 = 28x + 6079 for x.", "solution_steps": ["Subtract 28x from both sides: -27x + 4459 = 6079", "Subtract 4459 from both sides: -27x = 1620", "Divide both sides by -27: x = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4459 = 28x + 6079", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4459, \"b\": 28, \"d\": 6079, \"x\": -60}", "seed": "11873738615504633731", "semantic_fingerprint": "sha256:682166b688cc4915d6f1701c1b0fcdf967c7dc6a2de06f3769b21652a91b619d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001005", "prompt": "Compute: -18402 + (-3655 / (-64449) - 96521)", "solution_steps": ["Divide: -3655 / (-64449) = 3655/64449", "Subtract: 3655/64449 - 96521 = -6220678274/64449", "Add: -18402 + (-6220678274/64449) = -7406668772/64449"], "final_answer": "-7406668772/64449", "answer_type": "rational", "kind": "expression", "math_text": "-18402 + (-3655 / (-64449) - 96521)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18402, \"b\": -3655, \"c\": -64449, \"d\": 96521}", "seed": "11245101837314665527", "semantic_fingerprint": "sha256:0b5dedcb9fdd50ed9d0240719519917ce19b987027ef63e549b81f143d23dc1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001006", "prompt": "Solve the equation 25x + 7279 = 32x + 8504 for x.", "solution_steps": ["Subtract 32x from both sides: -7x + 7279 = 8504", "Subtract 7279 from both sides: -7x = 1225", "Divide both sides by -7: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 7279 = 32x + 8504", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 7279, \"c\": 32, \"e\": 8504, \"x\": -175}", "seed": "12400044249323851005", "semantic_fingerprint": "sha256:ef09c2a5897121628c3675749c16bd29a0721e6c673469084e37a6a2bbcdb194", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001007", "prompt": "What value of x satisfies x + 2443 = 40(x - 64448) - 54863?", "solution_steps": ["Expand: x + 2443 = 40x - 2577920 - 54863", "Combine constants: x + 2443 = 40x - 2632783", "Subtract 40x from both sides: -39x + 2443 = -2632783", "Subtract 2443 from both sides: -39x = -2635226", "Divide both sides by -39: x = 2635226/39"], "final_answer": "2635226/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2443 = 40(x - 64448) - 54863", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2443, \"b\": 40, \"c\": 64448, \"d\": 54863}", "seed": "18097093476994001923", "semantic_fingerprint": "sha256:55202b5f13849cf8208d4725224fd8cfd9b02df7501d3b3ba6325c2c753f27fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001008", "prompt": "Solve the equation 28(x + 31832) - 58247 = 13(x - 9812) + 9139 for x.", "solution_steps": ["Expand: 28x + 891296 - 58247 = 13(x - 9812) + 9139", "Expand: 28x + 891296 - 58247 = 13x - 127556 + 9139", "Combine constants: 28x + 833049 = 13x - 127556 + 9139", "Combine constants: 28x + 833049 = 13x - 118417", "Subtract 13x from both sides: 15x + 833049 = -118417", "Subtract 833049 from both sides: 15x = -951466", "Divide both sides by 15: x = -951466/15"], "final_answer": "-951466/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 31832) - 58247 = 13(x - 9812) + 9139", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 31832, \"c\": 58247, \"d\": 13, \"e\": 9812, \"f\": 9139}", "seed": "11867753661967659821", "semantic_fingerprint": "sha256:0cc8db47c857db2f0ca9c71bd80d803dc3c82de24dc66097ea5aea29b9a9d3fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001009", "prompt": "Evaluate: -86523 * (-29256)", "solution_steps": ["Multiply: -86523 * (-29256) = 2531316888"], "final_answer": "2531316888", "answer_type": "integer", "kind": "expression", "math_text": "-86523 * (-29256)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86523, \"b\": -29256}", "seed": "16038145258614133067", "semantic_fingerprint": "sha256:8b0650ca79aa3dd89b96482b63aee714fe12e5cf2b9403a8d590e024925cce69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001010", "prompt": "What value of x satisfies 19x + 2969 = x + 3437?", "solution_steps": ["Subtract x from both sides: 18x + 2969 = 3437", "Subtract 2969 from both sides: 18x = 468", "Divide both sides by 18: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 2969 = x + 3437", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2969, \"d\": 3437, \"x\": 26}", "seed": "8749136808491528807", "semantic_fingerprint": "sha256:89117aa57bd73f20c5d78e8ec0aa32f6b3aae469d45e2ea6c52eb9fc06d78373", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001011", "prompt": "What is 9312 / (-30152) + (-75463 + 3660 - 4998)?", "solution_steps": ["Divide: 9312 / (-30152) = -1164/3769", "Add: -75463 + 3660 = -71803", "Subtract: -71803 - 4998 = -76801", "Add: -1164/3769 + (-76801) = -289464133/3769"], "final_answer": "-289464133/3769", "answer_type": "rational", "kind": "expression", "math_text": "9312 / (-30152) + (-75463 + 3660 - 4998)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9312, \"b\": -30152, \"c\": -75463, \"d\": 3660, \"e\": 4998}", "seed": "17893371024149715531", "semantic_fingerprint": "sha256:4c400225497df616d31850697c27fce7e0f6335ed9ff619ec9ab46564d728b6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001012", "prompt": "What is 9619 / (6108 / 6965) - (-80158 - 4326)?", "solution_steps": ["Divide: 6108 / 6965 = 6108/6965", "Divide: 9619 / (6108/6965) = 66996335/6108", "Subtract: -80158 - 4326 = -84484", "Subtract: 66996335/6108 - (-84484) = 583024607/6108"], "final_answer": "583024607/6108", "answer_type": "rational", "kind": "expression", "math_text": "9619 / (6108 / 6965) - (-80158 - 4326)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9619, \"b\": 6108, \"c\": 6965, \"d\": -80158, \"e\": 4326}", "seed": "9353402176234222363", "semantic_fingerprint": "sha256:0560bfadb4b04166d679b234b9b3458d5b944c07a98d5cd8465f81b97bf0eb22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001013", "prompt": "Solve for x: 23(x + 1451) + 20352 = -15(x - 6589) - 40664", "solution_steps": ["Expand: 23x + 33373 + 20352 = -15(x - 6589) - 40664", "Expand: 23x + 33373 + 20352 = -15x + 98835 - 40664", "Combine constants: 23x + 53725 = -15x + 98835 - 40664", "Combine constants: 23x + 53725 = -15x + 58171", "Add 15x to both sides: 38x + 53725 = 58171", "Subtract 53725 from both sides: 38x = 4446", "Divide both sides by 38: x = 117"], "final_answer": "117", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 1451) + 20352 = -15(x - 6589) - 40664", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1451, \"c\": 20352, \"d\": -15, \"e\": 6589, \"g\": -40664, \"x\": 117}", "seed": "7774426330946395657", "semantic_fingerprint": "sha256:91bb0689513d8aa92814eae3bcc1d1b4bffcffbb422b2921dda7b6861383f705", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001014", "prompt": "Compute: -18372 + 2977 * (-1365)", "solution_steps": ["Multiply: 2977 * (-1365) = -4063605", "Add: -18372 + (-4063605) = -4081977"], "final_answer": "-4081977", "answer_type": "integer", "kind": "expression", "math_text": "-18372 + 2977 * (-1365)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18372, \"b\": 2977, \"c\": -1365}", "seed": "4573957888054534750", "semantic_fingerprint": "sha256:a2babb2ff809c418db939d6b4174dbf2b22e9cb135f21dcd40167cfc78b5ab79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001015", "prompt": "Evaluate: -4993 * (-66551) + (-2518) - 8365 * (-46524)", "solution_steps": ["Multiply: -4993 * (-66551) = 332289143", "Add: 332289143 + (-2518) = 332286625", "Multiply: 8365 * (-46524) = -389173260", "Subtract: 332286625 - (-389173260) = 721459885"], "final_answer": "721459885", "answer_type": "integer", "kind": "expression", "math_text": "-4993 * (-66551) + (-2518) - 8365 * (-46524)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4993, \"b\": -66551, \"c\": -2518, \"d\": 8365, \"e\": -46524}", "seed": "2525397000760986568", "semantic_fingerprint": "sha256:834f299d5cb51ffd0c009652f846d78e349449b3cfc15a79d0c2831275d8e5d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001016", "prompt": "What is -56639 - (-8768) + (-67596)?", "solution_steps": ["Subtract: -56639 - (-8768) = -47871", "Add: -47871 + (-67596) = -115467"], "final_answer": "-115467", "answer_type": "integer", "kind": "expression", "math_text": "-56639 - (-8768) + (-67596)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56639, \"b\": -8768, \"c\": -67596}", "seed": "3303118605294249743", "semantic_fingerprint": "sha256:3136499df29195f33a8b4cdbd6e55e401247e90f96444da9728296cb66bbc749", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001017", "prompt": "Compute: -72907 / 9557 - (-3620)", "solution_steps": ["Divide: -72907 / 9557 = -72907/9557", "Subtract: -72907/9557 - (-3620) = 34523433/9557"], "final_answer": "34523433/9557", "answer_type": "rational", "kind": "expression", "math_text": "-72907 / 9557 - (-3620)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72907, \"b\": 9557, \"c\": -3620}", "seed": "9242254552514472692", "semantic_fingerprint": "sha256:9f85ad382c73ecea261569f72cd90b95df1620973982f4926cadd7c282ffc65e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001018", "prompt": "What is -41870 / (8341 - 79531)?", "solution_steps": ["Subtract: 8341 - 79531 = -71190", "Divide: -41870 / (-71190) = 4187/7119"], "final_answer": "4187/7119", "answer_type": "rational", "kind": "expression", "math_text": "-41870 / (8341 - 79531)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41870, \"b\": 8341, \"c\": 79531}", "seed": "8110578791808308922", "semantic_fingerprint": "sha256:34a675c8990d238ccbbe258ada80d765079c2f5abecd06a4189da84673d5515c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001019", "prompt": "Compute: 38799 * 3859 + (-96321) + 42054 + (-21901)", "solution_steps": ["Multiply: 38799 * 3859 = 149725341", "Add: 149725341 + (-96321) = 149629020", "Add: 149629020 + 42054 = 149671074", "Add: 149671074 + (-21901) = 149649173"], "final_answer": "149649173", "answer_type": "integer", "kind": "expression", "math_text": "38799 * 3859 + (-96321) + 42054 + (-21901)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38799, \"b\": 3859, \"c\": -96321, \"d\": 42054, \"e\": -21901}", "seed": "16135065076504346385", "semantic_fingerprint": "sha256:9f5c7e48cf1c432c523f3f998f00fd1c40befdca2632b22053c56ba57fccd7a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001020", "prompt": "Compute: 1156 + 62248", "solution_steps": ["Add: 1156 + 62248 = 63404"], "final_answer": "63404", "answer_type": "integer", "kind": "expression", "math_text": "1156 + 62248", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1156, \"b\": 62248}", "seed": "9433655161313207390", "semantic_fingerprint": "sha256:bc6e6c80d78df152078fe41af02d974a84bd720b61c6a279f2b870e9f0a18349", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001021", "prompt": "Calculate: -11082 * 6448 + (-25217)", "solution_steps": ["Multiply: -11082 * 6448 = -71456736", "Add: -71456736 + (-25217) = -71481953"], "final_answer": "-71481953", "answer_type": "integer", "kind": "expression", "math_text": "-11082 * 6448 + (-25217)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11082, \"b\": 6448, \"c\": -25217}", "seed": "1458371643769737004", "semantic_fingerprint": "sha256:8aa1f3e17e1e146dca1c5f6511c54e8001e38248ae7f6db6200275469d0f414f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001022", "prompt": "Compute: 2552 / (8766 - 5145)", "solution_steps": ["Subtract: 8766 - 5145 = 3621", "Divide: 2552 / 3621 = 2552/3621"], "final_answer": "2552/3621", "answer_type": "rational", "kind": "expression", "math_text": "2552 / (8766 - 5145)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2552, \"b\": 8766, \"c\": 5145}", "seed": "557208446683605797", "semantic_fingerprint": "sha256:255577e292c64aa5d2cba917ff0bb5690786a4c3992061c274a4801d96e44316", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001023", "prompt": "What value of x satisfies -30x + 5950 = x + 4090?", "solution_steps": ["Subtract x from both sides: -31x + 5950 = 4090", "Subtract 5950 from both sides: -31x = -1860", "Divide both sides by -31: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x + 5950 = x + 4090", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 5950, \"d\": 4090, \"x\": 60}", "seed": "8367553177770126401", "semantic_fingerprint": "sha256:95416965896939f73ef167d35570b46d456d85a6654c0127ca84b1e3e1dc0f93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001024", "prompt": "What is -1129 - (-15848) / 2645?", "solution_steps": ["Divide: -15848 / 2645 = -15848/2645", "Subtract: -1129 - (-15848/2645) = -2970357/2645"], "final_answer": "-2970357/2645", "answer_type": "rational", "kind": "expression", "math_text": "-1129 - (-15848) / 2645", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1129, \"b\": -15848, \"c\": 2645}", "seed": "2899609856469596783", "semantic_fingerprint": "sha256:18602c59307f2179dcf0763bf4af47e4a06fa51aeeaf82efc844010b1e18b365", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001025", "prompt": "Find x: 26x + 8887 = x + 7787", "solution_steps": ["Subtract x from both sides: 25x + 8887 = 7787", "Subtract 8887 from both sides: 25x = -1100", "Divide both sides by 25: x = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 8887 = x + 7787", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 8887, \"d\": 7787, \"x\": -44}", "seed": "12735657113047233449", "semantic_fingerprint": "sha256:e934b39fb03a098021a182c7e4321260061b63c7d1f9f214620fd365959ec29f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001026", "prompt": "Evaluate: -4020 * (-43269 / 3365)", "solution_steps": ["Divide: -43269 / 3365 = -43269/3365", "Multiply: -4020 * (-43269/3365) = 34788276/673"], "final_answer": "34788276/673", "answer_type": "rational", "kind": "expression", "math_text": "-4020 * (-43269 / 3365)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4020, \"b\": -43269, \"c\": 3365}", "seed": "966560503398811811", "semantic_fingerprint": "sha256:c6b5ea0ca634b97c7253470dd19ee70f5b2f66505eea911cebc0cfaca084d990", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001027", "prompt": "Compute: 1402 / 47562 + 4124", "solution_steps": ["Divide: 1402 / 47562 = 701/23781", "Add: 701/23781 + 4124 = 98073545/23781"], "final_answer": "98073545/23781", "answer_type": "rational", "kind": "expression", "math_text": "1402 / 47562 + 4124", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1402, \"b\": 47562, \"c\": 4124}", "seed": "2164609203423292770", "semantic_fingerprint": "sha256:e9c452592032be5c79d4af884aa0ce7739f841bff89e47a6733bda514c44c779", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001028", "prompt": "Compute: -5259 * (-79448) - (-47157)", "solution_steps": ["Multiply: -5259 * (-79448) = 417817032", "Subtract: 417817032 - (-47157) = 417864189"], "final_answer": "417864189", "answer_type": "integer", "kind": "expression", "math_text": "-5259 * (-79448) - (-47157)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5259, \"b\": -79448, \"c\": -47157}", "seed": "15274560365681596548", "semantic_fingerprint": "sha256:8291672eec31d302cf6817b90845dafb484cc4b17a6610220ba087501444ee5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001029", "prompt": "Compute: -1169 - (-48358) + (-27720) / (-9541) - 2446", "solution_steps": ["Subtract: -1169 - (-48358) = 47189", "Divide: -27720 / (-9541) = 3960/1363", "Add: 47189 + 3960/1363 = 64322567/1363", "Subtract: 64322567/1363 - 2446 = 60988669/1363"], "final_answer": "60988669/1363", "answer_type": "rational", "kind": "expression", "math_text": "-1169 - (-48358) + (-27720) / (-9541) - 2446", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1169, \"b\": -48358, \"c\": -27720, \"d\": -9541, \"e\": 2446}", "seed": "6254311474183460190", "semantic_fingerprint": "sha256:31e9230207beb3126f4de04843120ff9457f034308cc011258d9c7125d3d793b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001030", "prompt": "What is -7404 / 14583?", "solution_steps": ["Divide: -7404 / 14583 = -2468/4861"], "final_answer": "-2468/4861", "answer_type": "rational", "kind": "expression", "math_text": "-7404 / 14583", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7404, \"b\": 14583}", "seed": "395348214329066055", "semantic_fingerprint": "sha256:681b4a077574fb83309e5ae28bb2e30e51781d5d4751a73e3affc83c9b4d148d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001031", "prompt": "What value of x satisfies -19x + 12928 = 30(x + 65510) - 9142?", "solution_steps": ["Expand: -19x + 12928 = 30x + 1965300 - 9142", "Combine constants: -19x + 12928 = 30x + 1956158", "Subtract 30x from both sides: -49x + 12928 = 1956158", "Subtract 12928 from both sides: -49x = 1943230", "Divide both sides by -49: x = -1943230/49"], "final_answer": "-1943230/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x + 12928 = 30(x + 65510) - 9142", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 12928, \"c\": 30, \"d\": 65510, \"e\": 9142}", "seed": "9514545075392858956", "semantic_fingerprint": "sha256:435fb645a93c9b98a05760799c18b5be90ce71d68480643bffb44e78cbf93f2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001032", "prompt": "Evaluate: 6042 * (-28083) - (-5566)", "solution_steps": ["Multiply: 6042 * (-28083) = -169677486", "Subtract: -169677486 - (-5566) = -169671920"], "final_answer": "-169671920", "answer_type": "integer", "kind": "expression", "math_text": "6042 * (-28083) - (-5566)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6042, \"b\": -28083, \"c\": -5566}", "seed": "11863041941066512940", "semantic_fingerprint": "sha256:0e844e3928525288034bb34a21a4a3c3bcc253ead6841eab8587384e61bea8e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001033", "prompt": "Evaluate: (-9694 - 24016) * (-4297 - 4963) / 7745", "solution_steps": ["Subtract: -9694 - 24016 = -33710", "Subtract: -4297 - 4963 = -9260", "Multiply: -33710 * (-9260) = 312154600", "Divide: 312154600 / 7745 = 62430920/1549"], "final_answer": "62430920/1549", "answer_type": "rational", "kind": "expression", "math_text": "(-9694 - 24016) * (-4297 - 4963) / 7745", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9694, \"b\": 24016, \"c\": -4297, \"d\": 4963, \"e\": 7745}", "seed": "6363410275814480191", "semantic_fingerprint": "sha256:06407583226661f092a2531128c4711620a647a8badee5e96203a9684bddffe6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001034", "prompt": "Calculate: -2885 / 6902", "solution_steps": ["Divide: -2885 / 6902 = -2885/6902"], "final_answer": "-2885/6902", "answer_type": "rational", "kind": "expression", "math_text": "-2885 / 6902", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2885, \"b\": 6902}", "seed": "18189677680034636903", "semantic_fingerprint": "sha256:6d63bfe171063fdef0deb1a057ef4c5822783b447aa7d5390e6a50790811091f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001035", "prompt": "Solve for x: x = 23(x - 4423) + 99353", "solution_steps": ["Expand: x = 23x - 101729 + 99353", "Combine constants: x = 23x - 2376", "Subtract 23x from both sides: -22x = -2376", "Divide both sides by -22: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 23(x - 4423) + 99353", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 4423, \"d\": 99353, \"x\": 108}", "seed": "8521122681248145646", "semantic_fingerprint": "sha256:232546a41181d1d05aba0c415f08fc3036a084ef461f48f42f448fd6b6a25041", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001036", "prompt": "Find x: 26(x + 60564) + 7420 = 36(x + 8106)", "solution_steps": ["Expand: 26x + 1574664 + 7420 = 36(x + 8106)", "Expand: 26x + 1574664 + 7420 = 36x + 291816", "Combine constants: 26x + 1582084 = 36x + 291816", "Subtract 36x from both sides: -10x + 1582084 = 291816", "Subtract 1582084 from both sides: -10x = -1290268", "Divide both sides by -10: x = 645134/5"], "final_answer": "645134/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 60564) + 7420 = 36(x + 8106)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 60564, \"c\": 7420, \"d\": 36, \"e\": 8106}", "seed": "15356898601009007286", "semantic_fingerprint": "sha256:7de8973653fe6d6405056892731f69cf674dc4755efede7407ab66ae3d39fb99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001037", "prompt": "Solve for x: 25(x + 1503) + 6847 = -28x + 90871", "solution_steps": ["Expand: 25x + 37575 + 6847 = -28x + 90871", "Combine constants: 25x + 44422 = -28x + 90871", "Add 28x to both sides: 53x + 44422 = 90871", "Subtract 44422 from both sides: 53x = 46449", "Divide both sides by 53: x = 46449/53"], "final_answer": "46449/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 1503) + 6847 = -28x + 90871", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1503, \"c\": 6847, \"d\": -28, \"e\": 90871}", "seed": "15710673940933761525", "semantic_fingerprint": "sha256:c13c901bd555cbf18b4fd755794ae2adebb31e925889a68fdbcc0ec21318c09e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001038", "prompt": "What is 14058 / 55751 - (-3200)?", "solution_steps": ["Divide: 14058 / 55751 = 14058/55751", "Subtract: 14058/55751 - (-3200) = 178417258/55751"], "final_answer": "178417258/55751", "answer_type": "rational", "kind": "expression", "math_text": "14058 / 55751 - (-3200)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14058, \"b\": 55751, \"c\": -3200}", "seed": "13656529561356149568", "semantic_fingerprint": "sha256:1e827df5477c7cb8d3ae99093fa95af3bb8bf286156371e5ac51d9019c49dc7f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001039", "prompt": "What is -5593 / (-37355) + 6545?", "solution_steps": ["Divide: -5593 / (-37355) = 5593/37355", "Add: 5593/37355 + 6545 = 244494068/37355"], "final_answer": "244494068/37355", "answer_type": "rational", "kind": "expression", "math_text": "-5593 / (-37355) + 6545", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5593, \"b\": -37355, \"c\": 6545}", "seed": "12062957956866361692", "semantic_fingerprint": "sha256:1c8c5674b64ec07368aa5c73dd233b75893cfb291169b3bdb4c0445a30f46514", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001040", "prompt": "What is 1199 - (-93428) + 2631?", "solution_steps": ["Subtract: 1199 - (-93428) = 94627", "Add: 94627 + 2631 = 97258"], "final_answer": "97258", "answer_type": "integer", "kind": "expression", "math_text": "1199 - (-93428) + 2631", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1199, \"b\": -93428, \"c\": 2631}", "seed": "2555121130026908562", "semantic_fingerprint": "sha256:73a88bc480639331e09734e5c1c6cf3f61c05e80c770ba4af565a80237920a9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001041", "prompt": "Compute: -1258 * 85792 / 4428", "solution_steps": ["Multiply: -1258 * 85792 = -107926336", "Divide: -107926336 / 4428 = -26981584/1107"], "final_answer": "-26981584/1107", "answer_type": "rational", "kind": "expression", "math_text": "-1258 * 85792 / 4428", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1258, \"b\": 85792, \"c\": 4428}", "seed": "8773804017847420677", "semantic_fingerprint": "sha256:457eefafad4867e009bd7beda9a8613c3cfd73c2555e00a24325b8aded6a06d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001042", "prompt": "Find x: 37(x + 9722) - 41847 = 29x - 1030", "solution_steps": ["Expand: 37x + 359714 - 41847 = 29x - 1030", "Combine constants: 37x + 317867 = 29x - 1030", "Subtract 29x from both sides: 8x + 317867 = -1030", "Subtract 317867 from both sides: 8x = -318897", "Divide both sides by 8: x = -318897/8"], "final_answer": "-318897/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 9722) - 41847 = 29x - 1030", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 9722, \"c\": 41847, \"d\": 29, \"e\": 1030}", "seed": "13793806169853987118", "semantic_fingerprint": "sha256:09e838537354c05fa131b825ef408c08e3d8bb5ec6ba352a8b55c45d9418725c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001043", "prompt": "What value of x satisfies 14x = -25x?", "solution_steps": ["Add 25x to both sides: 39x = 0", "Divide both sides by 39: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = -25x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": -25}", "seed": "8290941869862525020", "semantic_fingerprint": "sha256:cde11c1f5d7fc1de0c8b33f980e2fb46973eb3cfdc23fb90fbea17e737fe9f56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001044", "prompt": "Compute: -4159 * 7680 + (80319 + (-58441))", "solution_steps": ["Multiply: -4159 * 7680 = -31941120", "Add: 80319 + (-58441) = 21878", "Add: -31941120 + 21878 = -31919242"], "final_answer": "-31919242", "answer_type": "integer", "kind": "expression", "math_text": "-4159 * 7680 + (80319 + (-58441))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4159, \"b\": 7680, \"c\": 80319, \"d\": -58441}", "seed": "12100037002215844675", "semantic_fingerprint": "sha256:fa33c6e018b71cf45f60a91320d1580c5f82e95fb34d7f0ac8297a463c943558", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001045", "prompt": "Evaluate: 22479 / (-9710)", "solution_steps": ["Divide: 22479 / (-9710) = -22479/9710"], "final_answer": "-22479/9710", "answer_type": "rational", "kind": "expression", "math_text": "22479 / (-9710)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22479, \"b\": -9710}", "seed": "3009214207343726001", "semantic_fingerprint": "sha256:ba8a1a67eae0ee9c79459e81e0bae67b5dc2251b77b71e61fda6957d870739f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001046", "prompt": "What value of x satisfies x + 12155 = -13(x + 1162) + 27597?", "solution_steps": ["Expand: x + 12155 = -13x - 15106 + 27597", "Combine constants: x + 12155 = -13x + 12491", "Add 13x to both sides: 14x + 12155 = 12491", "Subtract 12155 from both sides: 14x = 336", "Divide both sides by 14: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 12155 = -13(x + 1162) + 27597", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 12155, \"b\": -13, \"c\": 1162, \"e\": 27597, \"x\": 24}", "seed": "8778870250437394939", "semantic_fingerprint": "sha256:d96176ee44ed28c8ab4e88f52107c2ca9fd3f86074c2ffd2f7a5fe8ca65652fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001047", "prompt": "Compute: -3654 - 8542 + (1646 - 4214)", "solution_steps": ["Subtract: -3654 - 8542 = -12196", "Subtract: 1646 - 4214 = -2568", "Add: -12196 + (-2568) = -14764"], "final_answer": "-14764", "answer_type": "integer", "kind": "expression", "math_text": "-3654 - 8542 + (1646 - 4214)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3654, \"b\": 8542, \"c\": 1646, \"d\": 4214}", "seed": "16495405062248094966", "semantic_fingerprint": "sha256:96f59458f1cc3e1aa5e815636f1eb9188d7805d3c7675f30fc61c1dd93dac751", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001048", "prompt": "Evaluate: -6487 * (-37370) + 19429", "solution_steps": ["Multiply: -6487 * (-37370) = 242419190", "Add: 242419190 + 19429 = 242438619"], "final_answer": "242438619", "answer_type": "integer", "kind": "expression", "math_text": "-6487 * (-37370) + 19429", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6487, \"b\": -37370, \"c\": 19429}", "seed": "8642293971419405855", "semantic_fingerprint": "sha256:60627ca3bf6b9a99c7b7136d533ebcc49136d6e3e9d55443a72262d153c461d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001049", "prompt": "Evaluate: -80350 - (-6433 - 2390) + 40022", "solution_steps": ["Subtract: -6433 - 2390 = -8823", "Subtract: -80350 - (-8823) = -71527", "Add: -71527 + 40022 = -31505"], "final_answer": "-31505", "answer_type": "integer", "kind": "expression", "math_text": "-80350 - (-6433 - 2390) + 40022", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -80350, \"b\": -6433, \"c\": 2390, \"d\": 40022}", "seed": "8635294434969349649", "semantic_fingerprint": "sha256:604f1813950fb2327196dd4e2e5da80f62c6c21851c79ce23094fc676e9eb572", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001050", "prompt": "Solve the equation -29(x + 4101) - 3541 = 33(x + 1327) for x.", "solution_steps": ["Expand: -29x - 118929 - 3541 = 33(x + 1327)", "Expand: -29x - 118929 - 3541 = 33x + 43791", "Combine constants: -29x - 122470 = 33x + 43791", "Subtract 33x from both sides: -62x - 122470 = 43791", "Add 122470 to both sides: -62x = 166261", "Divide both sides by -62: x = -166261/62"], "final_answer": "-166261/62", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x + 4101) - 3541 = 33(x + 1327)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 4101, \"c\": 3541, \"d\": 33, \"e\": 1327}", "seed": "13964935559792361195", "semantic_fingerprint": "sha256:a68b1e5e4bb4f2a042f89aa16f8ec20e5f63305c64d5efacc5044a9620384b09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001051", "prompt": "Evaluate: 2563 - (-5418) / ((6738 - (-6732)) * (2464 / (-2575)))", "solution_steps": ["Subtract: 6738 - (-6732) = 13470", "Divide: 2464 / (-2575) = -2464/2575", "Multiply: 13470 * (-2464/2575) = -6638016/515", "Divide: -5418 / (-6638016/515) = 66435/158048", "Subtract: 2563 - 66435/158048 = 405010589/158048"], "final_answer": "405010589/158048", "answer_type": "rational", "kind": "expression", "math_text": "2563 - (-5418) / ((6738 - (-6732)) * (2464 / (-2575)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (* (- n n) (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2563, \"b\": -5418, \"c\": 6738, \"d\": -6732, \"e\": 2464, \"f\": -2575}", "seed": "6302679748110005090", "semantic_fingerprint": "sha256:e18a1882add2f63a15080e63190639d6681b8adab17aebfd12a233eb8b873f43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001052", "prompt": "What value of x satisfies x + 3071 = -36x?", "solution_steps": ["Add 36x to both sides: 37x + 3071 = 0", "Subtract 3071 from both sides: 37x = -3071", "Divide both sides by 37: x = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3071 = -36x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36, \"c\": 3071, \"x\": -83}", "seed": "8292323081925106600", "semantic_fingerprint": "sha256:9f09a8d771b3185aeaaf761dce50d38eba1ee8de08d5bb94e35f2571eb7ac2ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001053", "prompt": "Evaluate: -5632 + (39571 - (-32683))", "solution_steps": ["Subtract: 39571 - (-32683) = 72254", "Add: -5632 + 72254 = 66622"], "final_answer": "66622", "answer_type": "integer", "kind": "expression", "math_text": "-5632 + (39571 - (-32683))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5632, \"b\": 39571, \"c\": -32683}", "seed": "14858909009162304160", "semantic_fingerprint": "sha256:a5fa074156d3f68c80f43dc3349d02e1b2ea8f40a812baba52cf6d5b13df8e89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001054", "prompt": "Compute: -6938 * (-6626)", "solution_steps": ["Multiply: -6938 * (-6626) = 45971188"], "final_answer": "45971188", "answer_type": "integer", "kind": "expression", "math_text": "-6938 * (-6626)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6938, \"b\": -6626}", "seed": "6940466845946861857", "semantic_fingerprint": "sha256:b7d6e0720aef9aee39cdb2100d5e541ca80925792216b6fb5105d46c0e00c82a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001055", "prompt": "Calculate: (-69746 - (38507 + (5788 + 86485) - (-5866))) / 57571", "solution_steps": ["Add: 5788 + 86485 = 92273", "Add: 38507 + 92273 = 130780", "Subtract: 130780 - (-5866) = 136646", "Subtract: -69746 - 136646 = -206392", "Divide: -206392 / 57571 = -206392/57571"], "final_answer": "-206392/57571", "answer_type": "rational", "kind": "expression", "math_text": "(-69746 - (38507 + (5788 + 86485) - (-5866))) / 57571", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- (+ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -69746, \"b\": 38507, \"c\": 5788, \"d\": 86485, \"e\": -5866, \"f\": 57571}", "seed": "11643626707183287934", "semantic_fingerprint": "sha256:cb2d04fb48bf6ecb1d7cfeb9deb6a67afa6a9ba407db2a6a744dd60d0406aba7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001056", "prompt": "Evaluate: -5486 - (-3847) + (-90348)", "solution_steps": ["Subtract: -5486 - (-3847) = -1639", "Add: -1639 + (-90348) = -91987"], "final_answer": "-91987", "answer_type": "integer", "kind": "expression", "math_text": "-5486 - (-3847) + (-90348)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5486, \"b\": -3847, \"c\": -90348}", "seed": "10002459758860404883", "semantic_fingerprint": "sha256:b9e26640b9d1e0b20897569ddc4159085316073d9f818362ae566304c2598b95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001057", "prompt": "What is -4096 - (-5252 + (-25237 * 77631 - (-6479)))?", "solution_steps": ["Multiply: -25237 * 77631 = -1959173547", "Subtract: -1959173547 - (-6479) = -1959167068", "Add: -5252 + (-1959167068) = -1959172320", "Subtract: -4096 - (-1959172320) = 1959168224"], "final_answer": "1959168224", "answer_type": "integer", "kind": "expression", "math_text": "-4096 - (-5252 + (-25237 * 77631 - (-6479)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (- (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4096, \"b\": -5252, \"c\": -25237, \"d\": 77631, \"e\": -6479}", "seed": "9981321973515948094", "semantic_fingerprint": "sha256:e9b469a68369b9b4aa92c7056c4e4c36f83bd4841f61940ca2e67b5067864a15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001058", "prompt": "Evaluate: -26692 + (-67456 - (-1544) * 2143)", "solution_steps": ["Multiply: -1544 * 2143 = -3308792", "Subtract: -67456 - (-3308792) = 3241336", "Add: -26692 + 3241336 = 3214644"], "final_answer": "3214644", "answer_type": "integer", "kind": "expression", "math_text": "-26692 + (-67456 - (-1544) * 2143)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26692, \"b\": -67456, \"c\": -1544, \"d\": 2143}", "seed": "3477056644774571331", "semantic_fingerprint": "sha256:262a33cbe46406fb02911bcff66fd167baf6c49236ef7527efa1836b95385828", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001059", "prompt": "Calculate: 5873 * ((-36744 - (-90189)) / 6368)", "solution_steps": ["Subtract: -36744 - (-90189) = 53445", "Divide: 53445 / 6368 = 53445/6368", "Multiply: 5873 * (53445/6368) = 313882485/6368"], "final_answer": "313882485/6368", "answer_type": "rational", "kind": "expression", "math_text": "5873 * ((-36744 - (-90189)) / 6368)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5873, \"b\": -36744, \"c\": -90189, \"d\": 6368}", "seed": "13512977883023265833", "semantic_fingerprint": "sha256:82cd25fe5ff926676e0eb88710e127dcd674bc4cabfaf82900fe879ad58d85af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001060", "prompt": "Calculate: -8908 + 8950 + (-4694 - (-35639) * (-3570 + 82210))", "solution_steps": ["Add: -8908 + 8950 = 42", "Add: -3570 + 82210 = 78640", "Multiply: -35639 * 78640 = -2802650960", "Subtract: -4694 - (-2802650960) = 2802646266", "Add: 42 + 2802646266 = 2802646308"], "final_answer": "2802646308", "answer_type": "integer", "kind": "expression", "math_text": "-8908 + 8950 + (-4694 - (-35639) * (-3570 + 82210))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (* n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8908, \"b\": 8950, \"c\": -4694, \"d\": -35639, \"e\": -3570, \"f\": 82210}", "seed": "9557607266590264635", "semantic_fingerprint": "sha256:3773bb772ba73bfbfe1b8fad5a7e6d3ecd2aa21ae3d19d66518189ee2df12fc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001061", "prompt": "Solve the equation 20(x - 6413) - 52884 = x - 9876 for x.", "solution_steps": ["Expand: 20x - 128260 - 52884 = x - 9876", "Combine constants: 20x - 181144 = x - 9876", "Subtract x from both sides: 19x - 181144 = -9876", "Add 181144 to both sides: 19x = 171268", "Divide both sides by 19: x = 171268/19"], "final_answer": "171268/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 6413) - 52884 = x - 9876", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 6413, \"c\": 52884, \"d\": 9876}", "seed": "1242941208491853662", "semantic_fingerprint": "sha256:dc616da36247f1ddc924f9599650d4bb097719da0c6401d2f99858e16e2a6ba7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001062", "prompt": "Evaluate: (8841 - 3050) / 9968", "solution_steps": ["Subtract: 8841 - 3050 = 5791", "Divide: 5791 / 9968 = 5791/9968"], "final_answer": "5791/9968", "answer_type": "rational", "kind": "expression", "math_text": "(8841 - 3050) / 9968", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8841, \"b\": 3050, \"c\": 9968}", "seed": "12223692451322597879", "semantic_fingerprint": "sha256:a913909d257c3a877e14f17e710c58dc851dce07564cfaa313a53060c31ffa1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001063", "prompt": "What is 64466 + 3412?", "solution_steps": ["Add: 64466 + 3412 = 67878"], "final_answer": "67878", "answer_type": "integer", "kind": "expression", "math_text": "64466 + 3412", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 64466, \"b\": 3412}", "seed": "15742866578948516743", "semantic_fingerprint": "sha256:e51c81034a0b4da1f3c5f0aadf11fea0facb8a441a4a51cfa8a394ee9bc603a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001064", "prompt": "What is (21694 - (-51200)) * 95341?", "solution_steps": ["Subtract: 21694 - (-51200) = 72894", "Multiply: 72894 * 95341 = 6949786854"], "final_answer": "6949786854", "answer_type": "integer", "kind": "expression", "math_text": "(21694 - (-51200)) * 95341", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21694, \"b\": -51200, \"c\": 95341}", "seed": "7458187011608926561", "semantic_fingerprint": "sha256:89301a1166e0b28ee6ec93eda93de7a69cbf0d2e45b9b697632650242b55cb7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001065", "prompt": "Calculate: 6022 - (-9879 - 24999) + (-6991) / 3430", "solution_steps": ["Subtract: -9879 - 24999 = -34878", "Subtract: 6022 - (-34878) = 40900", "Divide: -6991 / 3430 = -6991/3430", "Add: 40900 + (-6991/3430) = 140280009/3430"], "final_answer": "140280009/3430", "answer_type": "rational", "kind": "expression", "math_text": "6022 - (-9879 - 24999) + (-6991) / 3430", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6022, \"b\": -9879, \"c\": 24999, \"d\": -6991, \"e\": 3430}", "seed": "16382168263963768736", "semantic_fingerprint": "sha256:355435d612718c4b2f1e660df4e6d2a65ffc5a3fc2ee8aa56a2562689abbc68b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001066", "prompt": "Compute: 7456 / 7694", "solution_steps": ["Divide: 7456 / 7694 = 3728/3847"], "final_answer": "3728/3847", "answer_type": "rational", "kind": "expression", "math_text": "7456 / 7694", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7456, \"b\": 7694}", "seed": "10324460910325788874", "semantic_fingerprint": "sha256:9c25bf7112744ae3892e57bc47c6c4ca96b0d754fabf7ef57f8f9049102d5339", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001067", "prompt": "What is -3595 + (3244 + 1101)?", "solution_steps": ["Add: 3244 + 1101 = 4345", "Add: -3595 + 4345 = 750"], "final_answer": "750", "answer_type": "integer", "kind": "expression", "math_text": "-3595 + (3244 + 1101)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3595, \"b\": 3244, \"c\": 1101}", "seed": "12987484331875413299", "semantic_fingerprint": "sha256:d9a58daa87a4f799e2350d4fef4ceac0b9c2fb6826f25dbdc7d18d900d38417b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001068", "prompt": "Solve for x: x - 1536 = 25x", "solution_steps": ["Subtract 25x from both sides: -24x - 1536 = 0", "Add 1536 to both sides: -24x = 1536", "Divide both sides by -24: x = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1536 = 25x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"c\": -1536, \"x\": -64}", "seed": "13288314393761352098", "semantic_fingerprint": "sha256:b1677b7006252076444c1b86695e9b387ea61b6342e4a71b4aca7a2f55e06a83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001069", "prompt": "Solve for x: 35x - 24085 = x + 2404", "solution_steps": ["Subtract x from both sides: 34x - 24085 = 2404", "Add 24085 to both sides: 34x = 26489", "Divide both sides by 34: x = 26489/34"], "final_answer": "26489/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x - 24085 = x + 2404", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 24085, \"c\": 2404}", "seed": "17059193926632082328", "semantic_fingerprint": "sha256:4a3853463fb815f5d949f4c55d502b372a2512b027b23e7027915aea37daa77e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001070", "prompt": "Compute: 8957 + 20508", "solution_steps": ["Add: 8957 + 20508 = 29465"], "final_answer": "29465", "answer_type": "integer", "kind": "expression", "math_text": "8957 + 20508", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8957, \"b\": 20508}", "seed": "18022248895504495438", "semantic_fingerprint": "sha256:e6bdbd0f8a099ede4291840e257586449bdb4565fe27d55324651f3cc4bbb5a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001071", "prompt": "Compute: -1251 + (-8187)", "solution_steps": ["Add: -1251 + (-8187) = -9438"], "final_answer": "-9438", "answer_type": "integer", "kind": "expression", "math_text": "-1251 + (-8187)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1251, \"b\": -8187}", "seed": "16144695136325932538", "semantic_fingerprint": "sha256:66acce7f5a963320d983ef0f4b09fd959452bdb15481bad34b1adda9db117b52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001072", "prompt": "What is 4007 - (-57537 - 9234 * 57002)?", "solution_steps": ["Multiply: 9234 * 57002 = 526356468", "Subtract: -57537 - 526356468 = -526414005", "Subtract: 4007 - (-526414005) = 526418012"], "final_answer": "526418012", "answer_type": "integer", "kind": "expression", "math_text": "4007 - (-57537 - 9234 * 57002)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4007, \"b\": -57537, \"c\": 9234, \"d\": 57002}", "seed": "9972207248728831177", "semantic_fingerprint": "sha256:7208cd4562f173ce466e8373d47d0d6c4faa1f05ed1778cdda3284882026e5f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001073", "prompt": "Compute: -97103 - (3792 + (-8720))", "solution_steps": ["Add: 3792 + (-8720) = -4928", "Subtract: -97103 - (-4928) = -92175"], "final_answer": "-92175", "answer_type": "integer", "kind": "expression", "math_text": "-97103 - (3792 + (-8720))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97103, \"b\": 3792, \"c\": -8720}", "seed": "1654048571701513319", "semantic_fingerprint": "sha256:d27f2eae76c227420ce7905a37415c6fbc1c98d48a0c9770d7c9dd3e0dc6aad8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001074", "prompt": "Find x: -30(x + 76729) = x", "solution_steps": ["Expand: -30x - 2301870 = x", "Subtract x from both sides: -31x - 2301870 = 0", "Add 2301870 to both sides: -31x = 2301870", "Divide both sides by -31: x = -2301870/31"], "final_answer": "-2301870/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 76729) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 76729}", "seed": "12710411137799857447", "semantic_fingerprint": "sha256:64bbb516f10ef221e50e1b535ab1cff00fac15a6167098602c8e4bb6febb0f37", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001075", "prompt": "Compute: 42324 + (-7346)", "solution_steps": ["Add: 42324 + (-7346) = 34978"], "final_answer": "34978", "answer_type": "integer", "kind": "expression", "math_text": "42324 + (-7346)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 42324, \"b\": -7346}", "seed": "1101539384148209751", "semantic_fingerprint": "sha256:b8589a74556d0e7290d919b8955db747b7415285a9ff451c5cb58b2a185d586b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001076", "prompt": "Calculate: 5955 / ((38432 + (-35410)) / (79404 - (-8082 - 4368)))", "solution_steps": ["Add: 38432 + (-35410) = 3022", "Subtract: -8082 - 4368 = -12450", "Subtract: 79404 - (-12450) = 91854", "Divide: 3022 / 91854 = 1511/45927", "Divide: 5955 / (1511/45927) = 273495285/1511"], "final_answer": "273495285/1511", "answer_type": "rational", "kind": "expression", "math_text": "5955 / ((38432 + (-35410)) / (79404 - (-8082 - 4368)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ n n) (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5955, \"b\": 38432, \"c\": -35410, \"d\": 79404, \"e\": -8082, \"f\": 4368}", "seed": "13023162980837899330", "semantic_fingerprint": "sha256:5ae19985dba087872b307d0c3c465c29e44b1f0e38c25ddae95ca59b8e3e4ae0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001077", "prompt": "Calculate: -4667 - (5102 - (-50752)) + 9850", "solution_steps": ["Subtract: 5102 - (-50752) = 55854", "Subtract: -4667 - 55854 = -60521", "Add: -60521 + 9850 = -50671"], "final_answer": "-50671", "answer_type": "integer", "kind": "expression", "math_text": "-4667 - (5102 - (-50752)) + 9850", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4667, \"b\": 5102, \"c\": -50752, \"d\": 9850}", "seed": "16387147131405510073", "semantic_fingerprint": "sha256:28c991736885861ed71a0c174b248386b811fd0e3ee3a388d6d4ad8073558e5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001078", "prompt": "What is 22700 + (-14958) - (-48092)?", "solution_steps": ["Add: 22700 + (-14958) = 7742", "Subtract: 7742 - (-48092) = 55834"], "final_answer": "55834", "answer_type": "integer", "kind": "expression", "math_text": "22700 + (-14958) - (-48092)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22700, \"b\": -14958, \"c\": -48092}", "seed": "11131128006413535844", "semantic_fingerprint": "sha256:72e0f989991894b61f96754575e03bea94f7241afb25a9d627d396ff04cebf6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001079", "prompt": "Calculate: 56937 - (-5145) + (-2924)", "solution_steps": ["Subtract: 56937 - (-5145) = 62082", "Add: 62082 + (-2924) = 59158"], "final_answer": "59158", "answer_type": "integer", "kind": "expression", "math_text": "56937 - (-5145) + (-2924)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56937, \"b\": -5145, \"c\": -2924}", "seed": "6937727418819261374", "semantic_fingerprint": "sha256:c330a74f0207ba594c559c761db3fc82b61422e7f211293afde015057d40ab2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001080", "prompt": "What value of x satisfies 26x + 1900 = x?", "solution_steps": ["Subtract x from both sides: 25x + 1900 = 0", "Subtract 1900 from both sides: 25x = -1900", "Divide both sides by 25: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 1900 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"c\": 1900, \"x\": -76}", "seed": "11010906013186187324", "semantic_fingerprint": "sha256:f059175e96f35d457d1c13cb0a7ad390f45aad525bf0083f1e7bbdbfb4ee7729", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001081", "prompt": "What is -4435 + (34309 + (27917 - (-52189)) + 2368 * (-2903))?", "solution_steps": ["Subtract: 27917 - (-52189) = 80106", "Add: 34309 + 80106 = 114415", "Multiply: 2368 * (-2903) = -6874304", "Add: 114415 + (-6874304) = -6759889", "Add: -4435 + (-6759889) = -6764324"], "final_answer": "-6764324", "answer_type": "integer", "kind": "expression", "math_text": "-4435 + (34309 + (27917 - (-52189)) + 2368 * (-2903))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ n (- n n)) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4435, \"b\": 34309, \"c\": 27917, \"d\": -52189, \"e\": 2368, \"f\": -2903}", "seed": "7920011129443686778", "semantic_fingerprint": "sha256:cb82b4d7ea945ae49e5602a82524ec6175e51d79cef0168e7ec0045354e970c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001082", "prompt": "Evaluate: 16858 - (-84498 + 43919) - (-36899) * 34690", "solution_steps": ["Add: -84498 + 43919 = -40579", "Subtract: 16858 - (-40579) = 57437", "Multiply: -36899 * 34690 = -1280026310", "Subtract: 57437 - (-1280026310) = 1280083747"], "final_answer": "1280083747", "answer_type": "integer", "kind": "expression", "math_text": "16858 - (-84498 + 43919) - (-36899) * 34690", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16858, \"b\": -84498, \"c\": 43919, \"d\": -36899, \"e\": 34690}", "seed": "6253020652568901631", "semantic_fingerprint": "sha256:66186685658f546ab923a538688a691cb0a9a7c047b419972cd01dd442d1df4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001083", "prompt": "Solve the equation -14x - 38338 = 5457 for x.", "solution_steps": ["Add 38338 to both sides: -14x = 43795", "Divide both sides by -14: x = -43795/14"], "final_answer": "-43795/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x - 38338 = 5457", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 38338, \"c\": 5457}", "seed": "10284750688197201234", "semantic_fingerprint": "sha256:ba7fd3028decaa0d202a0969c7feccab57585711fbaa590cabf391b946af804e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001084", "prompt": "Calculate: -33694 - 36182", "solution_steps": ["Subtract: -33694 - 36182 = -69876"], "final_answer": "-69876", "answer_type": "integer", "kind": "expression", "math_text": "-33694 - 36182", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33694, \"b\": 36182}", "seed": "16661363452649284647", "semantic_fingerprint": "sha256:3f1b217b044480d9c83fee20fdd0bc1fcaf8137ef641adc7becb331bde6bdc9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001085", "prompt": "Solve the equation 33x + 7338 = 38(x - 7857) + 5617 for x.", "solution_steps": ["Expand: 33x + 7338 = 38x - 298566 + 5617", "Combine constants: 33x + 7338 = 38x - 292949", "Subtract 38x from both sides: -5x + 7338 = -292949", "Subtract 7338 from both sides: -5x = -300287", "Divide both sides by -5: x = 300287/5"], "final_answer": "300287/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x + 7338 = 38(x - 7857) + 5617", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 7338, \"c\": 38, \"d\": 7857, \"e\": 5617}", "seed": "17730977153641973131", "semantic_fingerprint": "sha256:84ce0036d4292f3f89c3272f6950485f4170402457ad68efc0d2476bc26e77f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001086", "prompt": "Solve for x: x = 37(x + 7833)", "solution_steps": ["Expand: x = 37x + 289821", "Subtract 37x from both sides: -36x = 289821", "Divide both sides by -36: x = -96607/12"], "final_answer": "-96607/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x + 7833)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 7833}", "seed": "1164938290594939676", "semantic_fingerprint": "sha256:a9d3b629e899ec0022e7fdfaa28709168ffeef33897cc47222a6948747588bcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001087", "prompt": "Calculate: -8538 / (-13326 / 3261)", "solution_steps": ["Divide: -13326 / 3261 = -4442/1087", "Divide: -8538 / (-4442/1087) = 4640403/2221"], "final_answer": "4640403/2221", "answer_type": "rational", "kind": "expression", "math_text": "-8538 / (-13326 / 3261)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8538, \"b\": -13326, \"c\": 3261}", "seed": "210397998792025749", "semantic_fingerprint": "sha256:4e6db82050c113f03097cc1b0b134bf72602b6942a7680f7fbdaa2a6df45cabe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001088", "prompt": "Compute: 4442 * 1429", "solution_steps": ["Multiply: 4442 * 1429 = 6347618"], "final_answer": "6347618", "answer_type": "integer", "kind": "expression", "math_text": "4442 * 1429", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4442, \"b\": 1429}", "seed": "14778284057799653206", "semantic_fingerprint": "sha256:ca4237a3217e15823149a5bb0e479239042bc788e5864edee7c3d9d041917af2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001089", "prompt": "What value of x satisfies 13(x - 5627) - 18794 = 34(x + 7135) - 2211?", "solution_steps": ["Expand: 13x - 73151 - 18794 = 34(x + 7135) - 2211", "Expand: 13x - 73151 - 18794 = 34x + 242590 - 2211", "Combine constants: 13x - 91945 = 34x + 242590 - 2211", "Combine constants: 13x - 91945 = 34x + 240379", "Subtract 34x from both sides: -21x - 91945 = 240379", "Add 91945 to both sides: -21x = 332324", "Divide both sides by -21: x = -332324/21"], "final_answer": "-332324/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 5627) - 18794 = 34(x + 7135) - 2211", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5627, \"c\": 18794, \"d\": 34, \"e\": 7135, \"f\": 2211}", "seed": "5406922599080234740", "semantic_fingerprint": "sha256:0b2fe8b83927d90c4d2331e3af86926190b51637c364732b5eef9fc875c0708f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001090", "prompt": "Compute: 8358 * 84964", "solution_steps": ["Multiply: 8358 * 84964 = 710129112"], "final_answer": "710129112", "answer_type": "integer", "kind": "expression", "math_text": "8358 * 84964", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8358, \"b\": 84964}", "seed": "5983053817675503446", "semantic_fingerprint": "sha256:e35485356615c62b32695affb305035faf7f16678329d751e777800c2f0f6093", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001091", "prompt": "Calculate: -4840 / 5500", "solution_steps": ["Divide: -4840 / 5500 = -22/25"], "final_answer": "-22/25", "answer_type": "rational", "kind": "expression", "math_text": "-4840 / 5500", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4840, \"b\": 5500}", "seed": "2027177081226751318", "semantic_fingerprint": "sha256:e66e6560805c6d1302464bd077901db1259d8f0814a3956934f603194775e36f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001092", "prompt": "Compute: 16906 + (-1488) + 25355 * (-37537)", "solution_steps": ["Add: 16906 + (-1488) = 15418", "Multiply: 25355 * (-37537) = -951750635", "Add: 15418 + (-951750635) = -951735217"], "final_answer": "-951735217", "answer_type": "integer", "kind": "expression", "math_text": "16906 + (-1488) + 25355 * (-37537)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16906, \"b\": -1488, \"c\": 25355, \"d\": -37537}", "seed": "13924699825295610119", "semantic_fingerprint": "sha256:80c484be85bdc56ed442397e5f716ec350cd2bf9e2617456e3f34a80409de021", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001093", "prompt": "What is -5774 / (-62002)?", "solution_steps": ["Divide: -5774 / (-62002) = 2887/31001"], "final_answer": "2887/31001", "answer_type": "rational", "kind": "expression", "math_text": "-5774 / (-62002)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5774, \"b\": -62002}", "seed": "5210881243412961168", "semantic_fingerprint": "sha256:9fa3cad2d341575ef681a75d3147e4fae1dc41dae4e05abe522c8c2ac77e20b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001094", "prompt": "What value of x satisfies -20x + 3184 = 2304?", "solution_steps": ["Subtract 3184 from both sides: -20x = -880", "Divide both sides by -20: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x + 3184 = 2304", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 3184, \"d\": 2304, \"x\": 44}", "seed": "3173380749245706757", "semantic_fingerprint": "sha256:b19ed79762df89916f94ab261073189604ac378a0e088b06d382d6603641e662", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001095", "prompt": "Solve for x: x + 37760 = -14x + 40370", "solution_steps": ["Add 14x to both sides: 15x + 37760 = 40370", "Subtract 37760 from both sides: 15x = 2610", "Divide both sides by 15: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 37760 = -14x + 40370", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37760, \"b\": -14, \"d\": 40370, \"x\": 174}", "seed": "956095753050939307", "semantic_fingerprint": "sha256:a58fdc4cdd77d80276f5ab07a0d80030006951a3262619fa58d3a654a60c228b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001096", "prompt": "Calculate: 46337 / 93157", "solution_steps": ["Divide: 46337 / 93157 = 46337/93157"], "final_answer": "46337/93157", "answer_type": "rational", "kind": "expression", "math_text": "46337 / 93157", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46337, \"b\": 93157}", "seed": "1985468172178625331", "semantic_fingerprint": "sha256:f42ad47c562878745aa39535ea95d1df5aa0b4d54ca2aee19cccef50e9485ccf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001097", "prompt": "Calculate: 64674 + (-69616) - 6780 * (-7430 + (-2022))", "solution_steps": ["Add: 64674 + (-69616) = -4942", "Add: -7430 + (-2022) = -9452", "Multiply: 6780 * (-9452) = -64084560", "Subtract: -4942 - (-64084560) = 64079618"], "final_answer": "64079618", "answer_type": "integer", "kind": "expression", "math_text": "64674 + (-69616) - 6780 * (-7430 + (-2022))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 64674, \"b\": -69616, \"c\": 6780, \"d\": -7430, \"e\": -2022}", "seed": "11296123680320085445", "semantic_fingerprint": "sha256:f3847943b50e3bbdff9e3eeabcdd8fb1fadc5bdde9ca46a6f0fd85a7211b2cc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001098", "prompt": "Compute: -59330 - (13906 + 4975)", "solution_steps": ["Add: 13906 + 4975 = 18881", "Subtract: -59330 - 18881 = -78211"], "final_answer": "-78211", "answer_type": "integer", "kind": "expression", "math_text": "-59330 - (13906 + 4975)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59330, \"b\": 13906, \"c\": 4975}", "seed": "10947252715289020385", "semantic_fingerprint": "sha256:759ffc13b584afe0b755e66d079855d928bf7c48930f1b37bc6b5961088c4a47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001099", "prompt": "Calculate: 12164 / (-5430 / 89640)", "solution_steps": ["Divide: -5430 / 89640 = -181/2988", "Divide: 12164 / (-181/2988) = -36346032/181"], "final_answer": "-36346032/181", "answer_type": "rational", "kind": "expression", "math_text": "12164 / (-5430 / 89640)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12164, \"b\": -5430, \"c\": 89640}", "seed": "17549446646549416924", "semantic_fingerprint": "sha256:7fbcad3cb99647c073117752186abf6ae090330f396045ad1daa49c38d6680f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001100", "prompt": "Evaluate: 2122 / 96846 * 63728", "solution_steps": ["Divide: 2122 / 96846 = 1061/48423", "Multiply: (1061/48423) * 63728 = 67615408/48423"], "final_answer": "67615408/48423", "answer_type": "rational", "kind": "expression", "math_text": "2122 / 96846 * 63728", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2122, \"b\": 96846, \"c\": 63728}", "seed": "12271706301259777135", "semantic_fingerprint": "sha256:32bb4e3a0869b29c519d5ae37bf457bdf89c525c0704b48474532cc01456d801", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001101", "prompt": "What is -3954 * (-2825)?", "solution_steps": ["Multiply: -3954 * (-2825) = 11170050"], "final_answer": "11170050", "answer_type": "integer", "kind": "expression", "math_text": "-3954 * (-2825)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3954, \"b\": -2825}", "seed": "547573042047910641", "semantic_fingerprint": "sha256:290f6f2af974a4c22e33828c64e32786a4d21954a39997b07123d00ea57f75fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001102", "prompt": "What is 18152 / (7556 / 8457)?", "solution_steps": ["Divide: 7556 / 8457 = 7556/8457", "Divide: 18152 / (7556/8457) = 38377866/1889"], "final_answer": "38377866/1889", "answer_type": "rational", "kind": "expression", "math_text": "18152 / (7556 / 8457)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18152, \"b\": 7556, \"c\": 8457}", "seed": "2598049429341536721", "semantic_fingerprint": "sha256:5c9b54a2dce7a6a3aab32b49ce8cbf8a9dd02c0541c3bd8aa85551fa2dee924d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001103", "prompt": "Find x: x + 34668 = 38x + 33891", "solution_steps": ["Subtract 38x from both sides: -37x + 34668 = 33891", "Subtract 34668 from both sides: -37x = -777", "Divide both sides by -37: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 34668 = 38x + 33891", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34668, \"b\": 38, \"d\": 33891, \"x\": 21}", "seed": "3278162161648826758", "semantic_fingerprint": "sha256:f041385c2792bc09ef1cc0e68c1ccb3a8896d95118fc997169e239b5b96fa9ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001104", "prompt": "What is -45332 + (-8882 + (30365 - (-5779)) * 5727)?", "solution_steps": ["Subtract: 30365 - (-5779) = 36144", "Multiply: 36144 * 5727 = 206996688", "Add: -8882 + 206996688 = 206987806", "Add: -45332 + 206987806 = 206942474"], "final_answer": "206942474", "answer_type": "integer", "kind": "expression", "math_text": "-45332 + (-8882 + (30365 - (-5779)) * 5727)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -45332, \"b\": -8882, \"c\": 30365, \"d\": -5779, \"e\": 5727}", "seed": "12191044256555770742", "semantic_fingerprint": "sha256:ea252842c9a423dc4165db0c705ee3069873329edf830a0da745a1a7c5db4ecb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001105", "prompt": "Solve for x: 36(x - 8935) = 32(x - 7620) - 77076", "solution_steps": ["Expand: 36x - 321660 = 32(x - 7620) - 77076", "Expand: 36x - 321660 = 32x - 243840 - 77076", "Combine constants: 36x - 321660 = 32x - 320916", "Subtract 32x from both sides: 4x - 321660 = -320916", "Add 321660 to both sides: 4x = 744", "Divide both sides by 4: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x - 8935) = 32(x - 7620) - 77076", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 8935, \"c\": 32, \"d\": 7620, \"f\": -77076, \"x\": 186}", "seed": "1544452775056544331", "semantic_fingerprint": "sha256:b4d7b004a024db7bb6f3ebb7e6ababa54022a38a19c0daf62e4882561864504c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001106", "prompt": "What value of x satisfies 16x + 87144 = -19(x - 1431) + 18475?", "solution_steps": ["Expand: 16x + 87144 = -19x + 27189 + 18475", "Combine constants: 16x + 87144 = -19x + 45664", "Add 19x to both sides: 35x + 87144 = 45664", "Subtract 87144 from both sides: 35x = -41480", "Divide both sides by 35: x = -8296/7"], "final_answer": "-8296/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x + 87144 = -19(x - 1431) + 18475", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 87144, \"c\": -19, \"d\": 1431, \"e\": 18475}", "seed": "13659826303844798149", "semantic_fingerprint": "sha256:3940ac872726d7014e7e91d67384bec89cf5a68495bbd8ee07f67c81607c1ddb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001107", "prompt": "Calculate: 47253 + (-54587)", "solution_steps": ["Add: 47253 + (-54587) = -7334"], "final_answer": "-7334", "answer_type": "integer", "kind": "expression", "math_text": "47253 + (-54587)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47253, \"b\": -54587}", "seed": "17152928724479931008", "semantic_fingerprint": "sha256:97f95910c9329823b7cc354971312c6da1cd5ce51f1854d0430c34698d2a9db7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001108", "prompt": "Find x: 39(x - 7523) = 14(x - 4657) + 6467", "solution_steps": ["Expand: 39x - 293397 = 14(x - 4657) + 6467", "Expand: 39x - 293397 = 14x - 65198 + 6467", "Combine constants: 39x - 293397 = 14x - 58731", "Subtract 14x from both sides: 25x - 293397 = -58731", "Add 293397 to both sides: 25x = 234666", "Divide both sides by 25: x = 234666/25"], "final_answer": "234666/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 7523) = 14(x - 4657) + 6467", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 7523, \"c\": 14, \"d\": 4657, \"e\": 6467}", "seed": "18173691791934505243", "semantic_fingerprint": "sha256:3ab4b696a9209f4dce0048204cf499bc7b299365bd51744ca527c0ca537ee8cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001109", "prompt": "Solve for x: 38(x - 4976) = x", "solution_steps": ["Expand: 38x - 189088 = x", "Subtract x from both sides: 37x - 189088 = 0", "Add 189088 to both sides: 37x = 189088", "Divide both sides by 37: x = 189088/37"], "final_answer": "189088/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 4976) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 4976}", "seed": "1404340153948146833", "semantic_fingerprint": "sha256:7161216ef32ff9387137e2d1b22578543fafb6f01805478b79f41c2ebc276f59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001110", "prompt": "Calculate: -4276 / (5163 - 2436)", "solution_steps": ["Subtract: 5163 - 2436 = 2727", "Divide: -4276 / 2727 = -4276/2727"], "final_answer": "-4276/2727", "answer_type": "rational", "kind": "expression", "math_text": "-4276 / (5163 - 2436)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4276, \"b\": 5163, \"c\": 2436}", "seed": "4293586073447264647", "semantic_fingerprint": "sha256:0c3c97bf73d1a3380575b86f27277a8c18014d2a26b325d080f4469701ab609f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001111", "prompt": "What value of x satisfies 39(x - 5916) = x?", "solution_steps": ["Expand: 39x - 230724 = x", "Subtract x from both sides: 38x - 230724 = 0", "Add 230724 to both sides: 38x = 230724", "Divide both sides by 38: x = 115362/19"], "final_answer": "115362/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 5916) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5916}", "seed": "17634608356062523551", "semantic_fingerprint": "sha256:37479003e07870ac2d50c2d647737b7edec66de319bcf30826906cf17583b726", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001112", "prompt": "Solve the equation x = 27(x - 8745) + 72015 for x.", "solution_steps": ["Expand: x = 27x - 236115 + 72015", "Combine constants: x = 27x - 164100", "Subtract 27x from both sides: -26x = -164100", "Divide both sides by -26: x = 82050/13"], "final_answer": "82050/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x - 8745) + 72015", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8745, \"c\": 72015}", "seed": "8285471052631734723", "semantic_fingerprint": "sha256:b3f297a17935805017326e4126d943023fb319f9f14ef29005a5890977dec12c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001113", "prompt": "Compute: 6070 + 54774", "solution_steps": ["Add: 6070 + 54774 = 60844"], "final_answer": "60844", "answer_type": "integer", "kind": "expression", "math_text": "6070 + 54774", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6070, \"b\": 54774}", "seed": "2389919501899643558", "semantic_fingerprint": "sha256:8bbae5f02aea44cd13e1641b8093fb2856cbc2c6e6f14acd994ba71d15f2a527", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001114", "prompt": "What value of x satisfies 15(x + 4728) = -13x - 33881?", "solution_steps": ["Expand: 15x + 70920 = -13x - 33881", "Add 13x to both sides: 28x + 70920 = -33881", "Subtract 70920 from both sides: 28x = -104801", "Divide both sides by 28: x = -104801/28"], "final_answer": "-104801/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 4728) = -13x - 33881", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4728, \"c\": -13, \"d\": 33881}", "seed": "4043571928886211829", "semantic_fingerprint": "sha256:a6c7f870952c766ab70a172b1bada2e61b5be05d4da8662ed99877a885973938", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001115", "prompt": "What value of x satisfies x = -23x + 68298?", "solution_steps": ["Add 23x to both sides: 24x = 68298", "Divide both sides by 24: x = 11383/4"], "final_answer": "11383/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -23x + 68298", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 68298}", "seed": "6839091785764537258", "semantic_fingerprint": "sha256:0e5924a728dfa5598a746b650cdf569ac104dd675b03011fb39033e95a2a1478", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001116", "prompt": "What is -40094 * 9037 + (-12635)?", "solution_steps": ["Multiply: -40094 * 9037 = -362329478", "Add: -362329478 + (-12635) = -362342113"], "final_answer": "-362342113", "answer_type": "integer", "kind": "expression", "math_text": "-40094 * 9037 + (-12635)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40094, \"b\": 9037, \"c\": -12635}", "seed": "17239808256666227046", "semantic_fingerprint": "sha256:43cff227049a2751a532b6b587715b70b6c3e4d00b788a1af01f7f58859462c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001117", "prompt": "Calculate: -32080 + (-9958) + (-26406 - (-4241))", "solution_steps": ["Add: -32080 + (-9958) = -42038", "Subtract: -26406 - (-4241) = -22165", "Add: -42038 + (-22165) = -64203"], "final_answer": "-64203", "answer_type": "integer", "kind": "expression", "math_text": "-32080 + (-9958) + (-26406 - (-4241))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32080, \"b\": -9958, \"c\": -26406, \"d\": -4241}", "seed": "10340312466082342810", "semantic_fingerprint": "sha256:353565d80fa7b98f231ec73af5e87fe38b9020f5fabb78fd42f8d315d434f08c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001118", "prompt": "Calculate: 9666 / (-95942)", "solution_steps": ["Divide: 9666 / (-95942) = -4833/47971"], "final_answer": "-4833/47971", "answer_type": "rational", "kind": "expression", "math_text": "9666 / (-95942)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9666, \"b\": -95942}", "seed": "1531991755195524886", "semantic_fingerprint": "sha256:a251b8b8d8fe17d8e6b1c21dac2370f8b104bfb29011e8eddd7e8a8923e08c89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001119", "prompt": "Evaluate: 9263 / 2230 * 94189", "solution_steps": ["Divide: 9263 / 2230 = 9263/2230", "Multiply: (9263/2230) * 94189 = 872472707/2230"], "final_answer": "872472707/2230", "answer_type": "rational", "kind": "expression", "math_text": "9263 / 2230 * 94189", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9263, \"b\": 2230, \"c\": 94189}", "seed": "8613406829588178369", "semantic_fingerprint": "sha256:89eb491a031e869ffeaa5c9e28f4bb9f96671301cd746f3c8f252522a43dc29a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001120", "prompt": "Compute: -6992 * (-7461) / (-99878) - 9342", "solution_steps": ["Multiply: -6992 * (-7461) = 52167312", "Divide: 52167312 / (-99878) = -26083656/49939", "Subtract: -26083656/49939 - 9342 = -492613794/49939"], "final_answer": "-492613794/49939", "answer_type": "rational", "kind": "expression", "math_text": "-6992 * (-7461) / (-99878) - 9342", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6992, \"b\": -7461, \"c\": -99878, \"d\": 9342}", "seed": "3147733812133498522", "semantic_fingerprint": "sha256:147fb6b5331caf54577a0521c9296a2447f8022166bc00df812b34a97ec4bbc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001121", "prompt": "What value of x satisfies x = -36(x + 15406)?", "solution_steps": ["Expand: x = -36x - 554616", "Add 36x to both sides: 37x = -554616", "Divide both sides by 37: x = -554616/37"], "final_answer": "-554616/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -36(x + 15406)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 15406}", "seed": "8154141033923414258", "semantic_fingerprint": "sha256:f8ec5a2736352fc2d8ec6f4f882ab904babaa6eea1678cd80b99e8c6aeb89eda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001122", "prompt": "Compute: -64705 * (-75589) + (-45858)", "solution_steps": ["Multiply: -64705 * (-75589) = 4890986245", "Add: 4890986245 + (-45858) = 4890940387"], "final_answer": "4890940387", "answer_type": "integer", "kind": "expression", "math_text": "-64705 * (-75589) + (-45858)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64705, \"b\": -75589, \"c\": -45858}", "seed": "17270766919404949507", "semantic_fingerprint": "sha256:a8e2c0ad550db5076f06ca177bdf1f93be65e5e1392084349033091a647fd3bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001123", "prompt": "Evaluate: 5448 / (-8349) - (39303 + 4996 * 3167)", "solution_steps": ["Divide: 5448 / (-8349) = -1816/2783", "Multiply: 4996 * 3167 = 15822332", "Add: 39303 + 15822332 = 15861635", "Subtract: -1816/2783 - 15861635 = -44142932021/2783"], "final_answer": "-44142932021/2783", "answer_type": "rational", "kind": "expression", "math_text": "5448 / (-8349) - (39303 + 4996 * 3167)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5448, \"b\": -8349, \"c\": 39303, \"d\": 4996, \"e\": 3167}", "seed": "11009948911976668012", "semantic_fingerprint": "sha256:ef1908bba386aeed32464b82ed94ac0db83b5bc5103e4c9cf4fadce359f46659", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001124", "prompt": "Compute: (-1670 + 5849) / 93617 * 36966", "solution_steps": ["Add: -1670 + 5849 = 4179", "Divide: 4179 / 93617 = 4179/93617", "Multiply: (4179/93617) * 36966 = 154480914/93617"], "final_answer": "154480914/93617", "answer_type": "rational", "kind": "expression", "math_text": "(-1670 + 5849) / 93617 * 36966", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1670, \"b\": 5849, \"c\": 93617, \"d\": 36966}", "seed": "12424897308896599833", "semantic_fingerprint": "sha256:d8bd9aae46c2d52d375124b0c53e3dccf0fa5c18b283067cb8a971fad8cb7dc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001125", "prompt": "Find x: 13x + 83497 = 18(x + 4584)", "solution_steps": ["Expand: 13x + 83497 = 18x + 82512", "Subtract 18x from both sides: -5x + 83497 = 82512", "Subtract 83497 from both sides: -5x = -985", "Divide both sides by -5: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 83497 = 18(x + 4584)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 18, \"c\": 4584, \"e\": 83497, \"x\": 197}", "seed": "5964057555458152489", "semantic_fingerprint": "sha256:fa89fdf4c42d31aaf861e03099960f559c7235964e80161f168a091612798f0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001126", "prompt": "What is (-57954 - (-74224)) * (-2734 - 3611 + 28394)?", "solution_steps": ["Subtract: -57954 - (-74224) = 16270", "Subtract: -2734 - 3611 = -6345", "Add: -6345 + 28394 = 22049", "Multiply: 16270 * 22049 = 358737230"], "final_answer": "358737230", "answer_type": "integer", "kind": "expression", "math_text": "(-57954 - (-74224)) * (-2734 - 3611 + 28394)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -57954, \"b\": -74224, \"c\": -2734, \"d\": 3611, \"e\": 28394}", "seed": "10073614065244847756", "semantic_fingerprint": "sha256:60c0c63493387e36845b341beb8fe5f2d420e06c1eabc8dd56d46ba3a61d8578", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001127", "prompt": "Compute: 4455 - (-5476)", "solution_steps": ["Subtract: 4455 - (-5476) = 9931"], "final_answer": "9931", "answer_type": "integer", "kind": "expression", "math_text": "4455 - (-5476)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4455, \"b\": -5476}", "seed": "7731722646768935304", "semantic_fingerprint": "sha256:52a2b0dba6183764d57704d95dd281742f444ac03e896ee56710eb89eb9b41a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001128", "prompt": "Compute: -7881 * 48143 / (-1767)", "solution_steps": ["Multiply: -7881 * 48143 = -379414983", "Divide: -379414983 / (-1767) = 4079731/19"], "final_answer": "4079731/19", "answer_type": "rational", "kind": "expression", "math_text": "-7881 * 48143 / (-1767)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7881, \"b\": 48143, \"c\": -1767}", "seed": "2030174977918421678", "semantic_fingerprint": "sha256:6e11b3d5ea4bcc83c9796166b3409aeca61408cfa6c059f691bd2b314f25d0ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001129", "prompt": "Calculate: 9964 - (-7819) + (-58638)", "solution_steps": ["Subtract: 9964 - (-7819) = 17783", "Add: 17783 + (-58638) = -40855"], "final_answer": "-40855", "answer_type": "integer", "kind": "expression", "math_text": "9964 - (-7819) + (-58638)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9964, \"b\": -7819, \"c\": -58638}", "seed": "1134515161900303432", "semantic_fingerprint": "sha256:66aae561a8e6ec3c6ec31ecf2d1d7bd2eecac1794479ba6f540199d3e3214b98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001130", "prompt": "Calculate: 1462 / (4908 - (-2603)) * (-9090)", "solution_steps": ["Subtract: 4908 - (-2603) = 7511", "Divide: 1462 / 7511 = 1462/7511", "Multiply: (1462/7511) * (-9090) = -13289580/7511"], "final_answer": "-13289580/7511", "answer_type": "rational", "kind": "expression", "math_text": "1462 / (4908 - (-2603)) * (-9090)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1462, \"b\": 4908, \"c\": -2603, \"d\": -9090}", "seed": "4071153923404763296", "semantic_fingerprint": "sha256:92c0a2171398a1b72c27f107edde20ddfb8c67eb4c2310977597efef9aa51df5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001131", "prompt": "Evaluate: 63339 + 8924", "solution_steps": ["Add: 63339 + 8924 = 72263"], "final_answer": "72263", "answer_type": "integer", "kind": "expression", "math_text": "63339 + 8924", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 63339, \"b\": 8924}", "seed": "16944431505283163113", "semantic_fingerprint": "sha256:3de641524b57c4ad34cc04b48eb63b9a41a27c9c3bdeb114996c0a3db972b932", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001132", "prompt": "Evaluate: -6243 * (13260 - (-2434))", "solution_steps": ["Subtract: 13260 - (-2434) = 15694", "Multiply: -6243 * 15694 = -97977642"], "final_answer": "-97977642", "answer_type": "integer", "kind": "expression", "math_text": "-6243 * (13260 - (-2434))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6243, \"b\": 13260, \"c\": -2434}", "seed": "4525382192739338", "semantic_fingerprint": "sha256:672fd6e9dd24696b530ab3caa399c9a1194b98e4cbae277f8202b0a4052f20b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001133", "prompt": "Calculate: (-3513 + (-4272)) * 4677 * (-9326)", "solution_steps": ["Add: -3513 + (-4272) = -7785", "Multiply: -7785 * 4677 = -36410445", "Multiply: -36410445 * (-9326) = 339563810070"], "final_answer": "339563810070", "answer_type": "integer", "kind": "expression", "math_text": "(-3513 + (-4272)) * 4677 * (-9326)", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3513, \"b\": -4272, \"c\": 4677, \"d\": -9326}", "seed": "9173394375362074485", "semantic_fingerprint": "sha256:30942cacd5d91611e2af15756116c1071b439d1f93f0ee3ae6e130d2768a2358", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001134", "prompt": "Compute: -1375 * (-59327 / 84264)", "solution_steps": ["Divide: -59327 / 84264 = -59327/84264", "Multiply: -1375 * (-59327/84264) = 81574625/84264"], "final_answer": "81574625/84264", "answer_type": "rational", "kind": "expression", "math_text": "-1375 * (-59327 / 84264)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1375, \"b\": -59327, \"c\": 84264}", "seed": "14828567203681912579", "semantic_fingerprint": "sha256:6583d119ac4d281581be50eadfae87b590520cdfb7318335a4a78ae7adee5ad3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001135", "prompt": "Compute: (-42448 + (-9578)) * (-21892)", "solution_steps": ["Add: -42448 + (-9578) = -52026", "Multiply: -52026 * (-21892) = 1138953192"], "final_answer": "1138953192", "answer_type": "integer", "kind": "expression", "math_text": "(-42448 + (-9578)) * (-21892)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -42448, \"b\": -9578, \"c\": -21892}", "seed": "13990402822504644818", "semantic_fingerprint": "sha256:b28f2851038daf4b70c5731115fd1d5bbe4b805a07082619c961e59ac80a6cd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001136", "prompt": "Find x: 29x = x + 3136", "solution_steps": ["Subtract x from both sides: 28x = 3136", "Divide both sides by 28: x = 112"], "final_answer": "112", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = x + 3136", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 3136, \"x\": 112}", "seed": "5758908925476400060", "semantic_fingerprint": "sha256:4ff7d7ae31a64762d46c9189c9ed9a30fe570aa956526d0a271502b7c2faef9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001137", "prompt": "What is 8457 / (9343 + 2633) * (-26382)?", "solution_steps": ["Add: 9343 + 2633 = 11976", "Divide: 8457 / 11976 = 2819/3992", "Multiply: (2819/3992) * (-26382) = -37185429/1996"], "final_answer": "-37185429/1996", "answer_type": "rational", "kind": "expression", "math_text": "8457 / (9343 + 2633) * (-26382)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8457, \"b\": 9343, \"c\": 2633, \"d\": -26382}", "seed": "5074208954194672997", "semantic_fingerprint": "sha256:34b1b07631da55acedd70766604fbbf5ef44ad13f18881acde9c0f72758aae6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001138", "prompt": "Compute: 6331 + (-48873) - (-9609)", "solution_steps": ["Add: 6331 + (-48873) = -42542", "Subtract: -42542 - (-9609) = -32933"], "final_answer": "-32933", "answer_type": "integer", "kind": "expression", "math_text": "6331 + (-48873) - (-9609)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6331, \"b\": -48873, \"c\": -9609}", "seed": "7956118955381041791", "semantic_fingerprint": "sha256:ec501538a780de87a043bd04acd4ec3543495fcbf60b4ac391b34a90d15a3772", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001139", "prompt": "Solve for x: x - 2484 = 37x", "solution_steps": ["Subtract 37x from both sides: -36x - 2484 = 0", "Add 2484 to both sides: -36x = 2484", "Divide both sides by -36: x = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2484 = 37x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": -2484, \"x\": -69}", "seed": "1441196756700721489", "semantic_fingerprint": "sha256:e5343883df00908b72cf76e46ebed86bc42dafec3863cda5f9c298ae370ce10a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001140", "prompt": "Compute: -5124 / (6650 - 8608) * (66044 - (-5420))", "solution_steps": ["Subtract: 6650 - 8608 = -1958", "Divide: -5124 / (-1958) = 2562/979", "Subtract: 66044 - (-5420) = 71464", "Multiply: (2562/979) * 71464 = 183090768/979"], "final_answer": "183090768/979", "answer_type": "rational", "kind": "expression", "math_text": "-5124 / (6650 - 8608) * (66044 - (-5420))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5124, \"b\": 6650, \"c\": 8608, \"d\": 66044, \"e\": -5420}", "seed": "8572419473066623391", "semantic_fingerprint": "sha256:ba71274f46ddaac2940434b9442e35c67d5f8868ab851f9bea4c9a48a9932779", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001141", "prompt": "Evaluate: -4737 + (-8339 + (-3872))", "solution_steps": ["Add: -8339 + (-3872) = -12211", "Add: -4737 + (-12211) = -16948"], "final_answer": "-16948", "answer_type": "integer", "kind": "expression", "math_text": "-4737 + (-8339 + (-3872))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4737, \"b\": -8339, \"c\": -3872}", "seed": "10135774931701384946", "semantic_fingerprint": "sha256:85f73566a47d18368dfd03a460857b5d560889af5f6a85196ec6b43b4ffca1cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001142", "prompt": "Compute: (28521 - 75386) * 64699", "solution_steps": ["Subtract: 28521 - 75386 = -46865", "Multiply: -46865 * 64699 = -3032118635"], "final_answer": "-3032118635", "answer_type": "integer", "kind": "expression", "math_text": "(28521 - 75386) * 64699", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28521, \"b\": 75386, \"c\": 64699}", "seed": "10237093139378314748", "semantic_fingerprint": "sha256:503d77180c750e57f5150a3acaec799bdbb8b094e6579938034f0ee711d2f201", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001143", "prompt": "What value of x satisfies 34(x - 68942) = 36(x + 9125)?", "solution_steps": ["Expand: 34x - 2344028 = 36(x + 9125)", "Expand: 34x - 2344028 = 36x + 328500", "Subtract 36x from both sides: -2x - 2344028 = 328500", "Add 2344028 to both sides: -2x = 2672528", "Divide both sides by -2: x = -1336264"], "final_answer": "-1336264", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x - 68942) = 36(x + 9125)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 68942, \"c\": 36, \"d\": 9125}", "seed": "6446241094529123947", "semantic_fingerprint": "sha256:57fa8f621643bedf63b3e40bda246303d46bec3799a9fda3cd700b9a89fd76d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001144", "prompt": "Calculate: 92446 / 7049", "solution_steps": ["Divide: 92446 / 7049 = 92446/7049"], "final_answer": "92446/7049", "answer_type": "rational", "kind": "expression", "math_text": "92446 / 7049", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 92446, \"b\": 7049}", "seed": "596251702234771736", "semantic_fingerprint": "sha256:22182c9b1e98c1556e1d70681d2ec93a90a5786b89c509de248a7d9ace996da7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001145", "prompt": "Compute: -86974 + (-7801 + 33003)", "solution_steps": ["Add: -7801 + 33003 = 25202", "Add: -86974 + 25202 = -61772"], "final_answer": "-61772", "answer_type": "integer", "kind": "expression", "math_text": "-86974 + (-7801 + 33003)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86974, \"b\": -7801, \"c\": 33003}", "seed": "12225596739123794478", "semantic_fingerprint": "sha256:58312ccef4238f7bf9542254b183b8051d28e6fadb51f4bd2cb026d2112c48a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001146", "prompt": "Compute: -8057 + (-3516) - (-50532)", "solution_steps": ["Add: -8057 + (-3516) = -11573", "Subtract: -11573 - (-50532) = 38959"], "final_answer": "38959", "answer_type": "integer", "kind": "expression", "math_text": "-8057 + (-3516) - (-50532)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8057, \"b\": -3516, \"c\": -50532}", "seed": "136892242633094522", "semantic_fingerprint": "sha256:bea60bc2830681f00f1a6ebf47d21acfd852a87577e6ec7aecb312639d12605b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001147", "prompt": "Calculate: (68167 + (-55373)) * 7951 - (8768 * (-17327) + 8127)", "solution_steps": ["Add: 68167 + (-55373) = 12794", "Multiply: 12794 * 7951 = 101725094", "Multiply: 8768 * (-17327) = -151923136", "Add: -151923136 + 8127 = -151915009", "Subtract: 101725094 - (-151915009) = 253640103"], "final_answer": "253640103", "answer_type": "integer", "kind": "expression", "math_text": "(68167 + (-55373)) * 7951 - (8768 * (-17327) + 8127)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 68167, \"b\": -55373, \"c\": 7951, \"d\": 8768, \"e\": -17327, \"f\": 8127}", "seed": "17904829334136681263", "semantic_fingerprint": "sha256:b996e5e2c514f9b6c47c8c892c143e3b081cc12ad77380143633d8de554c39a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001148", "prompt": "What is 9652 * 25759 + 6266 * 3535 * 8056 / (-5015)?", "solution_steps": ["Multiply: 9652 * 25759 = 248625868", "Multiply: 6266 * 3535 = 22150310", "Multiply: 22150310 * 8056 = 178442897360", "Divide: 178442897360 / (-5015) = -35688579472/1003", "Add: 248625868 + (-35688579472/1003) = 213683166132/1003"], "final_answer": "213683166132/1003", "answer_type": "rational", "kind": "expression", "math_text": "9652 * 25759 + 6266 * 3535 * 8056 / (-5015)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ (* (* n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9652, \"b\": 25759, \"c\": 6266, \"d\": 3535, \"e\": 8056, \"f\": -5015}", "seed": "1461714032979903279", "semantic_fingerprint": "sha256:a6a6c2b863f7491633db5972793a9c40052dcf3f949d86f38e6968450c609f72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001149", "prompt": "Evaluate: 3206 * ((37764 - (-44960)) / 93972)", "solution_steps": ["Subtract: 37764 - (-44960) = 82724", "Divide: 82724 / 93972 = 20681/23493", "Multiply: 3206 * (20681/23493) = 66303286/23493"], "final_answer": "66303286/23493", "answer_type": "rational", "kind": "expression", "math_text": "3206 * ((37764 - (-44960)) / 93972)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3206, \"b\": 37764, \"c\": -44960, \"d\": 93972}", "seed": "15757052730490045887", "semantic_fingerprint": "sha256:afeb595b9d89acf7f0b55ce97566c50d00f6e3d246d8a38ee257158930d5d4b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001150", "prompt": "What value of x satisfies -24(x + 4682) = x?", "solution_steps": ["Expand: -24x - 112368 = x", "Subtract x from both sides: -25x - 112368 = 0", "Add 112368 to both sides: -25x = 112368", "Divide both sides by -25: x = -112368/25"], "final_answer": "-112368/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 4682) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 4682}", "seed": "7154124315644937349", "semantic_fingerprint": "sha256:d5f037706766dfd249dfac3defac7bda7fc7a8493589402db37c7033c7681e25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001151", "prompt": "What is 8932 - 5702?", "solution_steps": ["Subtract: 8932 - 5702 = 3230"], "final_answer": "3230", "answer_type": "integer", "kind": "expression", "math_text": "8932 - 5702", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8932, \"b\": 5702}", "seed": "6293865795962437773", "semantic_fingerprint": "sha256:f0060842377eb779b9e3e43591b89d8d20a59642d7161972170f7112e1a93b00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001152", "prompt": "Compute: 62945 + (2038 * 9587 + (-5640)) - (-2602)", "solution_steps": ["Multiply: 2038 * 9587 = 19538306", "Add: 19538306 + (-5640) = 19532666", "Add: 62945 + 19532666 = 19595611", "Subtract: 19595611 - (-2602) = 19598213"], "final_answer": "19598213", "answer_type": "integer", "kind": "expression", "math_text": "62945 + (2038 * 9587 + (-5640)) - (-2602)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 62945, \"b\": 2038, \"c\": 9587, \"d\": -5640, \"e\": -2602}", "seed": "2167685586044588745", "semantic_fingerprint": "sha256:22fc50a3909b0d2d242fb65c1b8f926b05fe159f2fd998e20d2aaae190aa4b59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001153", "prompt": "What is 97144 / 7684?", "solution_steps": ["Divide: 97144 / 7684 = 24286/1921"], "final_answer": "24286/1921", "answer_type": "rational", "kind": "expression", "math_text": "97144 / 7684", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97144, \"b\": 7684}", "seed": "2129166173799488403", "semantic_fingerprint": "sha256:a39ccf34707ba11997bd889ef8c937eddb747eb20cb8328fc83a26f4e959e692", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001154", "prompt": "Solve for x: -31x - 6315 = x - 9771", "solution_steps": ["Subtract x from both sides: -32x - 6315 = -9771", "Add 6315 to both sides: -32x = -3456", "Divide both sides by -32: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x - 6315 = x - 9771", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 6315, \"d\": -9771, \"x\": 108}", "seed": "3495337505828769670", "semantic_fingerprint": "sha256:233d03ea687f74c0980629e91b265244f51cc5f5d8afe4101b780eea4d78541d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001155", "prompt": "Solve for x: 18x = -1800", "solution_steps": ["Divide both sides by 18: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = -1800", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": -1800, \"x\": -100}", "seed": "9283891249026090757", "semantic_fingerprint": "sha256:da11588e0357d651aa107ccd7f3a6c9b020e850f7a8359efd395013346a9116e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001156", "prompt": "Solve the equation 18x = -34(x - 9419) for x.", "solution_steps": ["Expand: 18x = -34x + 320246", "Add 34x to both sides: 52x = 320246", "Divide both sides by 52: x = 160123/26"], "final_answer": "160123/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = -34(x - 9419)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": -34, \"c\": 9419}", "seed": "13691388903666879897", "semantic_fingerprint": "sha256:21b31ac5598483010136a49d8326132f020703bed7683ef5cd785bce11ded07b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001157", "prompt": "What is -3665 - 69974?", "solution_steps": ["Subtract: -3665 - 69974 = -73639"], "final_answer": "-73639", "answer_type": "integer", "kind": "expression", "math_text": "-3665 - 69974", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3665, \"b\": 69974}", "seed": "8486820238315214250", "semantic_fingerprint": "sha256:0153b83625bee16b720d3a59f57d1710e258fd5436960df815f253a189c679d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001158", "prompt": "What is (78000 - 55250 + (-2652)) * (1828 - 71452)?", "solution_steps": ["Subtract: 78000 - 55250 = 22750", "Add: 22750 + (-2652) = 20098", "Subtract: 1828 - 71452 = -69624", "Multiply: 20098 * (-69624) = -1399303152"], "final_answer": "-1399303152", "answer_type": "integer", "kind": "expression", "math_text": "(78000 - 55250 + (-2652)) * (1828 - 71452)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 78000, \"b\": 55250, \"c\": -2652, \"d\": 1828, \"e\": 71452}", "seed": "10415220528191228549", "semantic_fingerprint": "sha256:22e5103d5af47dbb7f7e0112a709dfe0c37c249c05ea8318716f5555224c69e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001159", "prompt": "What is 9968 * (-42383) / (-72687 - (-31336))?", "solution_steps": ["Multiply: 9968 * (-42383) = -422473744", "Subtract: -72687 - (-31336) = -41351", "Divide: -422473744 / (-41351) = 422473744/41351"], "final_answer": "422473744/41351", "answer_type": "rational", "kind": "expression", "math_text": "9968 * (-42383) / (-72687 - (-31336))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9968, \"b\": -42383, \"c\": -72687, \"d\": -31336}", "seed": "3716883494908532023", "semantic_fingerprint": "sha256:97d7403bb9b8cc605bc62343c75d9b5c947aa1e83af88db13f89fdf9cf53ef15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001160", "prompt": "Evaluate: -35441 + (-71953 + (-3783))", "solution_steps": ["Add: -71953 + (-3783) = -75736", "Add: -35441 + (-75736) = -111177"], "final_answer": "-111177", "answer_type": "integer", "kind": "expression", "math_text": "-35441 + (-71953 + (-3783))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35441, \"b\": -71953, \"c\": -3783}", "seed": "3818641260364139931", "semantic_fingerprint": "sha256:6db6b710e0a6abefd7c6bbc5921f74a1b57c31d9d0c8c2825dde182d829a70ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001161", "prompt": "What value of x satisfies 30(x + 4354) = 33(x + 44685) + 9133?", "solution_steps": ["Expand: 30x + 130620 = 33(x + 44685) + 9133", "Expand: 30x + 130620 = 33x + 1474605 + 9133", "Combine constants: 30x + 130620 = 33x + 1483738", "Subtract 33x from both sides: -3x + 130620 = 1483738", "Subtract 130620 from both sides: -3x = 1353118", "Divide both sides by -3: x = -1353118/3"], "final_answer": "-1353118/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 4354) = 33(x + 44685) + 9133", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 4354, \"c\": 33, \"d\": 44685, \"e\": 9133}", "seed": "15889554102432063170", "semantic_fingerprint": "sha256:2914dcea08fa877f384a9f258040ecc54a915a4811d6a07e7a08014974c5fb37", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001162", "prompt": "Calculate: (-5166 - (7190 + 68593 + (-3934))) / 3048 + 83184", "solution_steps": ["Add: 7190 + 68593 = 75783", "Add: 75783 + (-3934) = 71849", "Subtract: -5166 - 71849 = -77015", "Divide: -77015 / 3048 = -77015/3048", "Add: -77015/3048 + 83184 = 253467817/3048"], "final_answer": "253467817/3048", "answer_type": "rational", "kind": "expression", "math_text": "(-5166 - (7190 + 68593 + (-3934))) / 3048 + 83184", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n (+ (+ n n) n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5166, \"b\": 7190, \"c\": 68593, \"d\": -3934, \"e\": 3048, \"f\": 83184}", "seed": "17803260545038348890", "semantic_fingerprint": "sha256:1df8fc3d6ed78bd128606c744e3b1af7b20d91f9bdf1abe7755aaa86e707aed4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001163", "prompt": "Compute: -7886 / (-9322 / (-5078))", "solution_steps": ["Divide: -9322 / (-5078) = 4661/2539", "Divide: -7886 / (4661/2539) = -20022554/4661"], "final_answer": "-20022554/4661", "answer_type": "rational", "kind": "expression", "math_text": "-7886 / (-9322 / (-5078))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7886, \"b\": -9322, \"c\": -5078}", "seed": "1042633929114980541", "semantic_fingerprint": "sha256:18b6eaba62b13b1b5007851da97ce8dfaf3a13c904abc8895adcee558d5a65a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001164", "prompt": "Evaluate: 1967 * (-4550)", "solution_steps": ["Multiply: 1967 * (-4550) = -8949850"], "final_answer": "-8949850", "answer_type": "integer", "kind": "expression", "math_text": "1967 * (-4550)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1967, \"b\": -4550}", "seed": "6119248318233034510", "semantic_fingerprint": "sha256:25dd745b485570920368734aa4e773a1fb3d131838eded2be51c0c5fe3fc759d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001165", "prompt": "Compute: (-1668 - (-8495 - (-41334)) + 61967 * (-1896)) * 2042", "solution_steps": ["Subtract: -8495 - (-41334) = 32839", "Subtract: -1668 - 32839 = -34507", "Multiply: 61967 * (-1896) = -117489432", "Add: -34507 + (-117489432) = -117523939", "Multiply: -117523939 * 2042 = -239983883438"], "final_answer": "-239983883438", "answer_type": "integer", "kind": "expression", "math_text": "(-1668 - (-8495 - (-41334)) + 61967 * (-1896)) * 2042", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n (- n n)) (* n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1668, \"b\": -8495, \"c\": -41334, \"d\": 61967, \"e\": -1896, \"f\": 2042}", "seed": "11455125080359888001", "semantic_fingerprint": "sha256:35b8bd93519d292771f465a3b3b6d687e20c0f1778954a93285a263c84229d85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001166", "prompt": "What value of x satisfies x = 37(x + 2256) + 62906?", "solution_steps": ["Expand: x = 37x + 83472 + 62906", "Combine constants: x = 37x + 146378", "Subtract 37x from both sides: -36x = 146378", "Divide both sides by -36: x = -73189/18"], "final_answer": "-73189/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x + 2256) + 62906", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2256, \"c\": 62906}", "seed": "2295694373337765638", "semantic_fingerprint": "sha256:7d4c6d5723aa28a3a6d83a04e08dfe76f4ecf0bdf881ae80528edc0fc57cc175", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001167", "prompt": "Evaluate: -57776 / (-81671)", "solution_steps": ["Divide: -57776 / (-81671) = 57776/81671"], "final_answer": "57776/81671", "answer_type": "rational", "kind": "expression", "math_text": "-57776 / (-81671)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -57776, \"b\": -81671}", "seed": "10472390549576535046", "semantic_fingerprint": "sha256:9c772f1fb29ab1c11bd3255a854174c9decb14c74b3ba635638293e65adba97d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001168", "prompt": "Evaluate: 9908 + (-1944)", "solution_steps": ["Add: 9908 + (-1944) = 7964"], "final_answer": "7964", "answer_type": "integer", "kind": "expression", "math_text": "9908 + (-1944)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9908, \"b\": -1944}", "seed": "1027202634467004483", "semantic_fingerprint": "sha256:6ef76a887b27e94fad3aca785acb69ab846af3eeee17f98e22c933b9785b0663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001169", "prompt": "Solve for x: x - 91162 = 21(x - 4222)", "solution_steps": ["Expand: x - 91162 = 21x - 88662", "Subtract 21x from both sides: -20x - 91162 = -88662", "Add 91162 to both sides: -20x = 2500", "Divide both sides by -20: x = -125"], "final_answer": "-125", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 91162 = 21(x - 4222)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4222, \"d\": -91162, \"x\": -125}", "seed": "6900134344224684049", "semantic_fingerprint": "sha256:94885e927f369082ea6e8bd519882038dac249edb07eabe877fc785a145c6edf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001170", "prompt": "Solve the equation 22(x - 2229) - 4760 = 27x - 54608 for x.", "solution_steps": ["Expand: 22x - 49038 - 4760 = 27x - 54608", "Combine constants: 22x - 53798 = 27x - 54608", "Subtract 27x from both sides: -5x - 53798 = -54608", "Add 53798 to both sides: -5x = -810", "Divide both sides by -5: x = 162"], "final_answer": "162", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x - 2229) - 4760 = 27x - 54608", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2229, \"c\": 4760, \"d\": 27, \"f\": -54608, \"x\": 162}", "seed": "294270927657512412", "semantic_fingerprint": "sha256:99baa880d9cbcbe325c650f710067844193662b643d11cb5ce9a969361db3eb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001171", "prompt": "Evaluate: 31944 + 41680 * (-6191)", "solution_steps": ["Multiply: 41680 * (-6191) = -258040880", "Add: 31944 + (-258040880) = -258008936"], "final_answer": "-258008936", "answer_type": "integer", "kind": "expression", "math_text": "31944 + 41680 * (-6191)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31944, \"b\": 41680, \"c\": -6191}", "seed": "16173378628402608902", "semantic_fingerprint": "sha256:36c0043c2a2c6b9af26a4606a6a9a7de78cc87f996660bd2bb23c84d9c96fab5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001172", "prompt": "Evaluate: 31842 + (-58275) / 23675 + (-53339)", "solution_steps": ["Divide: -58275 / 23675 = -2331/947", "Add: 31842 + (-2331/947) = 30152043/947", "Add: 30152043/947 + (-53339) = -20359990/947"], "final_answer": "-20359990/947", "answer_type": "rational", "kind": "expression", "math_text": "31842 + (-58275) / 23675 + (-53339)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31842, \"b\": -58275, \"c\": 23675, \"d\": -53339}", "seed": "13086123977862835990", "semantic_fingerprint": "sha256:04645d4513580c2b8c416c2753fae2564dbd1cfaab198c7a1c02db34daa50573", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001173", "prompt": "Evaluate: -33057 * (-87094)", "solution_steps": ["Multiply: -33057 * (-87094) = 2879066358"], "final_answer": "2879066358", "answer_type": "integer", "kind": "expression", "math_text": "-33057 * (-87094)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33057, \"b\": -87094}", "seed": "15438731838214639443", "semantic_fingerprint": "sha256:f50b26028581cb072fc3052d576b3a65810b3004469592d706fdc3dd74ce6a3a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001174", "prompt": "Solve for x: 24x - 68397 = 14(x + 2170) - 86500", "solution_steps": ["Expand: 24x - 68397 = 14x + 30380 - 86500", "Combine constants: 24x - 68397 = 14x - 56120", "Subtract 14x from both sides: 10x - 68397 = -56120", "Add 68397 to both sides: 10x = 12277", "Divide both sides by 10: x = 12277/10"], "final_answer": "12277/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x - 68397 = 14(x + 2170) - 86500", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 68397, \"c\": 14, \"d\": 2170, \"e\": 86500}", "seed": "3455092834861604309", "semantic_fingerprint": "sha256:de2b30e62eacc531485b0212929afd58c2f24defd59d2b0e4cce39bf7190af15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001175", "prompt": "Compute: -4405 - 7137 / 7666", "solution_steps": ["Divide: 7137 / 7666 = 7137/7666", "Subtract: -4405 - 7137/7666 = -33775867/7666"], "final_answer": "-33775867/7666", "answer_type": "rational", "kind": "expression", "math_text": "-4405 - 7137 / 7666", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4405, \"b\": 7137, \"c\": 7666}", "seed": "8462909318263746977", "semantic_fingerprint": "sha256:b79e90d2167507c17f2134e82ec4d991f8594fa16a329dcda2652f7737df045a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001176", "prompt": "Evaluate: -8732 - 1962", "solution_steps": ["Subtract: -8732 - 1962 = -10694"], "final_answer": "-10694", "answer_type": "integer", "kind": "expression", "math_text": "-8732 - 1962", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8732, \"b\": 1962}", "seed": "16888102824939658761", "semantic_fingerprint": "sha256:2d22f4b906fc0f3ffee039c78173c00650304f65f77fedc2087f4aaf5e78a045", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001177", "prompt": "Find x: 22x - 34673 = x - 32468", "solution_steps": ["Subtract x from both sides: 21x - 34673 = -32468", "Add 34673 to both sides: 21x = 2205", "Divide both sides by 21: x = 105"], "final_answer": "105", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x - 34673 = x - 32468", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 34673, \"d\": -32468, \"x\": 105}", "seed": "8264805530374452539", "semantic_fingerprint": "sha256:97fb7e7c31c508887fe8f5a000e5e709808a412223003dccf532f0f5fe40e131", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001178", "prompt": "Solve the equation x = 16(x + 5120) + 6595 for x.", "solution_steps": ["Expand: x = 16x + 81920 + 6595", "Combine constants: x = 16x + 88515", "Subtract 16x from both sides: -15x = 88515", "Divide both sides by -15: x = -5901"], "final_answer": "-5901", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 16(x + 5120) + 6595", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5120, \"c\": 6595}", "seed": "14676278878233447672", "semantic_fingerprint": "sha256:2ab6e73d65d44eb155f91103b68f21adba859f61952623f19e2e00aada49f945", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001179", "prompt": "Compute: -24201 - (-5591)", "solution_steps": ["Subtract: -24201 - (-5591) = -18610"], "final_answer": "-18610", "answer_type": "integer", "kind": "expression", "math_text": "-24201 - (-5591)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -24201, \"b\": -5591}", "seed": "2671744241572307392", "semantic_fingerprint": "sha256:c54c7983bdaa985da6af56877d0c12e5c63c6f241f974aed5d156dec128250e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001180", "prompt": "What is -8420 + (-2552) - (-50569 + (-7895 + 68075))?", "solution_steps": ["Add: -8420 + (-2552) = -10972", "Add: -7895 + 68075 = 60180", "Add: -50569 + 60180 = 9611", "Subtract: -10972 - 9611 = -20583"], "final_answer": "-20583", "answer_type": "integer", "kind": "expression", "math_text": "-8420 + (-2552) - (-50569 + (-7895 + 68075))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8420, \"b\": -2552, \"c\": -50569, \"d\": -7895, \"e\": 68075}", "seed": "12644078066044682435", "semantic_fingerprint": "sha256:c4388b0715016b7e86b7927292521e1a971e4d2318d070b4706a996cb595a2dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001181", "prompt": "Calculate: 6665 / (-8169 - 3234) + 14964", "solution_steps": ["Subtract: -8169 - 3234 = -11403", "Divide: 6665 / (-11403) = -6665/11403", "Add: -6665/11403 + 14964 = 170627827/11403"], "final_answer": "170627827/11403", "answer_type": "rational", "kind": "expression", "math_text": "6665 / (-8169 - 3234) + 14964", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6665, \"b\": -8169, \"c\": 3234, \"d\": 14964}", "seed": "18271962985135244912", "semantic_fingerprint": "sha256:8c91a85ae1c010701632bddbcb5120192257d8612ddbc92c2fd5e3ecb5fdce7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001182", "prompt": "What is 31234 - (-76985 - (-4674)) * (-6945)?", "solution_steps": ["Subtract: -76985 - (-4674) = -72311", "Multiply: -72311 * (-6945) = 502199895", "Subtract: 31234 - 502199895 = -502168661"], "final_answer": "-502168661", "answer_type": "integer", "kind": "expression", "math_text": "31234 - (-76985 - (-4674)) * (-6945)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31234, \"b\": -76985, \"c\": -4674, \"d\": -6945}", "seed": "18168252787827167442", "semantic_fingerprint": "sha256:4168b6f73365116039d0ccc680b1f56a631e3ad30eda2554c1182c5eeb9f30cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001183", "prompt": "What value of x satisfies x = 17(x + 5740)?", "solution_steps": ["Expand: x = 17x + 97580", "Subtract 17x from both sides: -16x = 97580", "Divide both sides by -16: x = -24395/4"], "final_answer": "-24395/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17(x + 5740)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5740}", "seed": "8274228606315092831", "semantic_fingerprint": "sha256:f49358b92bcbbf04d5c887c7c095c00ef2e5d6c685b3cc943125a1b8dacbe072", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001184", "prompt": "Calculate: -9217 / 1592", "solution_steps": ["Divide: -9217 / 1592 = -9217/1592"], "final_answer": "-9217/1592", "answer_type": "rational", "kind": "expression", "math_text": "-9217 / 1592", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9217, \"b\": 1592}", "seed": "1768085461510905055", "semantic_fingerprint": "sha256:52e07640e064cf6e659d68cc0b27e28f415d9aa45557e4349a3e6dd6b408c0bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001185", "prompt": "Compute: 6073 - (8282 - 7825) * (-7467 + (-1662))", "solution_steps": ["Subtract: 8282 - 7825 = 457", "Add: -7467 + (-1662) = -9129", "Multiply: 457 * (-9129) = -4171953", "Subtract: 6073 - (-4171953) = 4178026"], "final_answer": "4178026", "answer_type": "integer", "kind": "expression", "math_text": "6073 - (8282 - 7825) * (-7467 + (-1662))", "variable": null, "family": "expression_4op", "shape": "(- n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6073, \"b\": 8282, \"c\": 7825, \"d\": -7467, \"e\": -1662}", "seed": "12287123249561468951", "semantic_fingerprint": "sha256:0e2fbfcf9f365eb083c1357ab4fbeb9f3234fabb98f3a4b6e1a513061b78468c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001186", "prompt": "Evaluate: 3918 - (6393 - 28619)", "solution_steps": ["Subtract: 6393 - 28619 = -22226", "Subtract: 3918 - (-22226) = 26144"], "final_answer": "26144", "answer_type": "integer", "kind": "expression", "math_text": "3918 - (6393 - 28619)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3918, \"b\": 6393, \"c\": 28619}", "seed": "15299241180789062375", "semantic_fingerprint": "sha256:d666f4925c1530889df8147f8f6c8759cc06650fb8aad87ef5ea13464d812d3a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001187", "prompt": "Evaluate: -8762 / (-14188 + (-83132 - (-95479))) * (-65704) - 1075", "solution_steps": ["Subtract: -83132 - (-95479) = 12347", "Add: -14188 + 12347 = -1841", "Divide: -8762 / (-1841) = 8762/1841", "Multiply: (8762/1841) * (-65704) = -575698448/1841", "Subtract: -575698448/1841 - 1075 = -577677523/1841"], "final_answer": "-577677523/1841", "answer_type": "rational", "kind": "expression", "math_text": "-8762 / (-14188 + (-83132 - (-95479))) * (-65704) - 1075", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n (+ n (- n n))) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8762, \"b\": -14188, \"c\": -83132, \"d\": -95479, \"e\": -65704, \"f\": 1075}", "seed": "15260093122962328057", "semantic_fingerprint": "sha256:ca56e4f6aeea30cadb1e7c729857f1434e3a6e06fe224baa7ef4a5f9963e9f49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001188", "prompt": "What is 46964 - 99571 - 71126 + (-2262)?", "solution_steps": ["Subtract: 46964 - 99571 = -52607", "Subtract: -52607 - 71126 = -123733", "Add: -123733 + (-2262) = -125995"], "final_answer": "-125995", "answer_type": "integer", "kind": "expression", "math_text": "46964 - 99571 - 71126 + (-2262)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 46964, \"b\": 99571, \"c\": 71126, \"d\": -2262}", "seed": "15647179161145034992", "semantic_fingerprint": "sha256:281a3a6eddda70809d09f1fbe2c051c66a253fd4e702b6ab091a6359c4bddd44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001189", "prompt": "What is -7437 - (-19172 - (-9986)) + (12202 - 22356)?", "solution_steps": ["Subtract: -19172 - (-9986) = -9186", "Subtract: -7437 - (-9186) = 1749", "Subtract: 12202 - 22356 = -10154", "Add: 1749 + (-10154) = -8405"], "final_answer": "-8405", "answer_type": "integer", "kind": "expression", "math_text": "-7437 - (-19172 - (-9986)) + (12202 - 22356)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7437, \"b\": -19172, \"c\": -9986, \"d\": 12202, \"e\": 22356}", "seed": "16548709669564718179", "semantic_fingerprint": "sha256:2fc6435af2f073b47bccc08f6ac2e27ab22533e18098500d72112bbec711723c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001190", "prompt": "What is 93416 + (1470 + (-7209)) + 90613?", "solution_steps": ["Add: 1470 + (-7209) = -5739", "Add: 93416 + (-5739) = 87677", "Add: 87677 + 90613 = 178290"], "final_answer": "178290", "answer_type": "integer", "kind": "expression", "math_text": "93416 + (1470 + (-7209)) + 90613", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93416, \"b\": 1470, \"c\": -7209, \"d\": 90613}", "seed": "486698811462333357", "semantic_fingerprint": "sha256:71b3daadf346c4c4e191a14e5bc91a2c34da950b9605c71a96759a2a48b1a928", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001191", "prompt": "Compute: 4681 * (-4676) - 56405", "solution_steps": ["Multiply: 4681 * (-4676) = -21888356", "Subtract: -21888356 - 56405 = -21944761"], "final_answer": "-21944761", "answer_type": "integer", "kind": "expression", "math_text": "4681 * (-4676) - 56405", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4681, \"b\": -4676, \"c\": 56405}", "seed": "18147882344526578746", "semantic_fingerprint": "sha256:1d88eb79cf5f47e423410a193751cbe0e31f5798e085b653b52c2d3da8931cf8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001192", "prompt": "What is -9252 / 97549?", "solution_steps": ["Divide: -9252 / 97549 = -9252/97549"], "final_answer": "-9252/97549", "answer_type": "rational", "kind": "expression", "math_text": "-9252 / 97549", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9252, \"b\": 97549}", "seed": "15287163403643569156", "semantic_fingerprint": "sha256:0e885377fcfed258d7ee9520116cb980796356671b9947132e6442be34a22f4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001193", "prompt": "Evaluate: -24688 + (-22691) * (3599 - 3989 * (-6605))", "solution_steps": ["Multiply: 3989 * (-6605) = -26347345", "Subtract: 3599 - (-26347345) = 26350944", "Multiply: -22691 * 26350944 = -597929270304", "Add: -24688 + (-597929270304) = -597929294992"], "final_answer": "-597929294992", "answer_type": "integer", "kind": "expression", "math_text": "-24688 + (-22691) * (3599 - 3989 * (-6605))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- n (* n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24688, \"b\": -22691, \"c\": 3599, \"d\": 3989, \"e\": -6605}", "seed": "13994078238210814504", "semantic_fingerprint": "sha256:c33d9cf04642289359a7b3b378f6a936f831e4f8289763428ec2bf9ab4601872", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001194", "prompt": "Calculate: 74547 + (-8291) * (-5727)", "solution_steps": ["Multiply: -8291 * (-5727) = 47482557", "Add: 74547 + 47482557 = 47557104"], "final_answer": "47557104", "answer_type": "integer", "kind": "expression", "math_text": "74547 + (-8291) * (-5727)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74547, \"b\": -8291, \"c\": -5727}", "seed": "15409821344316273394", "semantic_fingerprint": "sha256:dc330815fb7c37799efcd71883a3df646cb9a45d20e8927923e5d2100838c4d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001195", "prompt": "What is 4344 / (-1967 - (-8324)) - 9294?", "solution_steps": ["Subtract: -1967 - (-8324) = 6357", "Divide: 4344 / 6357 = 1448/2119", "Subtract: 1448/2119 - 9294 = -19692538/2119"], "final_answer": "-19692538/2119", "answer_type": "rational", "kind": "expression", "math_text": "4344 / (-1967 - (-8324)) - 9294", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4344, \"b\": -1967, \"c\": -8324, \"d\": 9294}", "seed": "16792985315094473543", "semantic_fingerprint": "sha256:445d36ca48bce06e7019a0b3343c45f147e74f622bfffd7a0131ac830589afef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001196", "prompt": "Compute: -6119 - 2004 * (-2706) / 34699", "solution_steps": ["Multiply: 2004 * (-2706) = -5422824", "Divide: -5422824 / 34699 = -5422824/34699", "Subtract: -6119 - (-5422824/34699) = -206900357/34699"], "final_answer": "-206900357/34699", "answer_type": "rational", "kind": "expression", "math_text": "-6119 - 2004 * (-2706) / 34699", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6119, \"b\": 2004, \"c\": -2706, \"d\": 34699}", "seed": "16476252192080561199", "semantic_fingerprint": "sha256:86be2c8a3c8969d80093471644c9a0ef03017618a2213a929ac0f0144c875a02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001197", "prompt": "Evaluate: -8020 * (-7407) * (-3897) - (-50084) * 28842", "solution_steps": ["Multiply: -8020 * (-7407) = 59404140", "Multiply: 59404140 * (-3897) = -231497933580", "Multiply: -50084 * 28842 = -1444522728", "Subtract: -231497933580 - (-1444522728) = -230053410852"], "final_answer": "-230053410852", "answer_type": "integer", "kind": "expression", "math_text": "-8020 * (-7407) * (-3897) - (-50084) * 28842", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8020, \"b\": -7407, \"c\": -3897, \"d\": -50084, \"e\": 28842}", "seed": "16825803348102736690", "semantic_fingerprint": "sha256:8f5a8470c96603e6aaf421aa29cb664a7dacfaa9bd0a3833cd66a8b9069a086e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001198", "prompt": "What value of x satisfies 20x + 3101 = 29x + 3965?", "solution_steps": ["Subtract 29x from both sides: -9x + 3101 = 3965", "Subtract 3101 from both sides: -9x = 864", "Divide both sides by -9: x = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 3101 = 29x + 3965", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3101, \"c\": 29, \"e\": 3965, \"x\": -96}", "seed": "8984131892598901970", "semantic_fingerprint": "sha256:852e10d15a5954f501117c115b450976810373d5ca3cf19af4cac01793d01336", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001199", "prompt": "Solve for x: x = -25x + 3952", "solution_steps": ["Add 25x to both sides: 26x = 3952", "Divide both sides by 26: x = 152"], "final_answer": "152", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -25x + 3952", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": 3952, \"x\": 152}", "seed": "13191500529660198167", "semantic_fingerprint": "sha256:f5f682e4691bee737269fe9a3eaf8f991220aca27cd44e522482c793fee52927", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001200", "prompt": "Calculate: -71841 - (1990 + (-4333))", "solution_steps": ["Add: 1990 + (-4333) = -2343", "Subtract: -71841 - (-2343) = -69498"], "final_answer": "-69498", "answer_type": "integer", "kind": "expression", "math_text": "-71841 - (1990 + (-4333))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71841, \"b\": 1990, \"c\": -4333}", "seed": "11234655582447090153", "semantic_fingerprint": "sha256:41c773f6a6c6c4831fd3a15ce766c2853523b12994b547a07834084864ec0bf8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001201", "prompt": "Find x: 21(x - 7131) + 8136 = 30(x - 4756) + 2568", "solution_steps": ["Expand: 21x - 149751 + 8136 = 30(x - 4756) + 2568", "Expand: 21x - 149751 + 8136 = 30x - 142680 + 2568", "Combine constants: 21x - 141615 = 30x - 142680 + 2568", "Combine constants: 21x - 141615 = 30x - 140112", "Subtract 30x from both sides: -9x - 141615 = -140112", "Add 141615 to both sides: -9x = 1503", "Divide both sides by -9: x = -167"], "final_answer": "-167", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 7131) + 8136 = 30(x - 4756) + 2568", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 7131, \"c\": 8136, \"d\": 30, \"e\": 4756, \"g\": 2568, \"x\": -167}", "seed": "5551912479743194680", "semantic_fingerprint": "sha256:7a380c576d2fadabc03aa706d75c4968904371094f5a1bff9583d27be4c23b77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001202", "prompt": "Solve the equation 36x - 1925 = x for x.", "solution_steps": ["Subtract x from both sides: 35x - 1925 = 0", "Add 1925 to both sides: 35x = 1925", "Divide both sides by 35: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x - 1925 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": -1925, \"x\": 55}", "seed": "12762507178684459145", "semantic_fingerprint": "sha256:35e3612aee319a542c80025f5d4617782d0a1bde76627d29c87e696a1be3b42c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001203", "prompt": "Compute: 93626 * (2911 / 44460)", "solution_steps": ["Divide: 2911 / 44460 = 2911/44460", "Multiply: 93626 * (2911/44460) = 10482511/1710"], "final_answer": "10482511/1710", "answer_type": "rational", "kind": "expression", "math_text": "93626 * (2911 / 44460)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93626, \"b\": 2911, \"c\": 44460}", "seed": "1331353935544836241", "semantic_fingerprint": "sha256:ed6db221461152274d2ecae9161905f24538b95573c770015a0bbe7dbd2b71f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001204", "prompt": "Compute: -84074 / (-9123 - (3454 + (-5854)) - 40443)", "solution_steps": ["Add: 3454 + (-5854) = -2400", "Subtract: -9123 - (-2400) = -6723", "Subtract: -6723 - 40443 = -47166", "Divide: -84074 / (-47166) = 42037/23583"], "final_answer": "42037/23583", "answer_type": "rational", "kind": "expression", "math_text": "-84074 / (-9123 - (3454 + (-5854)) - 40443)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -84074, \"b\": -9123, \"c\": 3454, \"d\": -5854, \"e\": 40443}", "seed": "8885222037065217169", "semantic_fingerprint": "sha256:3f12dea34b5b54980cb10a87cc63649ecef29fe12628fdc9dc819a8e54d31d44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001205", "prompt": "Compute: 88192 + 1044", "solution_steps": ["Add: 88192 + 1044 = 89236"], "final_answer": "89236", "answer_type": "integer", "kind": "expression", "math_text": "88192 + 1044", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 88192, \"b\": 1044}", "seed": "15829148745247210052", "semantic_fingerprint": "sha256:6da1594fcf559f7113c285fe38a969604ab7131bffe840cc81feb4aa9810c02b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001206", "prompt": "What is -18365 - (-12596 + 42166 * 68927) - (-89688)?", "solution_steps": ["Multiply: 42166 * 68927 = 2906375882", "Add: -12596 + 2906375882 = 2906363286", "Subtract: -18365 - 2906363286 = -2906381651", "Subtract: -2906381651 - (-89688) = -2906291963"], "final_answer": "-2906291963", "answer_type": "integer", "kind": "expression", "math_text": "-18365 - (-12596 + 42166 * 68927) - (-89688)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18365, \"b\": -12596, \"c\": 42166, \"d\": 68927, \"e\": -89688}", "seed": "12943848281155448982", "semantic_fingerprint": "sha256:d6ba5eb2052cfd2dca97f395d26fdba30f301ca51a4d39f756005a602149a82a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001207", "prompt": "Find x: 40(x - 78689) + 5999 = -99172", "solution_steps": ["Expand: 40x - 3147560 + 5999 = -99172", "Combine constants: 40x - 3141561 = -99172", "Add 3141561 to both sides: 40x = 3042389", "Divide both sides by 40: x = 3042389/40"], "final_answer": "3042389/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 78689) + 5999 = -99172", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 78689, \"c\": 5999, \"d\": -99172}", "seed": "12867226264140473559", "semantic_fingerprint": "sha256:31902309dc1f9918ddb5471359ae6e143ffe9d79b85bd020267e24fc6274d8c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001208", "prompt": "Evaluate: 4239 / (-6078 - 2716)", "solution_steps": ["Subtract: -6078 - 2716 = -8794", "Divide: 4239 / (-8794) = -4239/8794"], "final_answer": "-4239/8794", "answer_type": "rational", "kind": "expression", "math_text": "4239 / (-6078 - 2716)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4239, \"b\": -6078, \"c\": 2716}", "seed": "14009649846919346555", "semantic_fingerprint": "sha256:9a2f3ec612720c817976e70d5df8af425c2fa33cb6bd87aec5f09d9b18af307a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001209", "prompt": "Compute: -99273 / 2242", "solution_steps": ["Divide: -99273 / 2242 = -99273/2242"], "final_answer": "-99273/2242", "answer_type": "rational", "kind": "expression", "math_text": "-99273 / 2242", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99273, \"b\": 2242}", "seed": "1807450678108105952", "semantic_fingerprint": "sha256:4e9effad1b135b77e779f926e080b95c804a8ab52c07be093f39eb88a70d6cc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001210", "prompt": "Calculate: (2081 - (-5311) * (-21563)) * (-2110) / (-5037)", "solution_steps": ["Multiply: -5311 * (-21563) = 114521093", "Subtract: 2081 - 114521093 = -114519012", "Multiply: -114519012 * (-2110) = 241635115320", "Divide: 241635115320 / (-5037) = -80545038440/1679"], "final_answer": "-80545038440/1679", "answer_type": "rational", "kind": "expression", "math_text": "(2081 - (-5311) * (-21563)) * (-2110) / (-5037)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2081, \"b\": -5311, \"c\": -21563, \"d\": -2110, \"e\": -5037}", "seed": "5282907400648707569", "semantic_fingerprint": "sha256:1e5bf0f3d70b58ddade672fbfccadc03875921ec74ff953e416ed18e814e8763", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001211", "prompt": "What is 97040 - (-3924 + 7240 * 1735)?", "solution_steps": ["Multiply: 7240 * 1735 = 12561400", "Add: -3924 + 12561400 = 12557476", "Subtract: 97040 - 12557476 = -12460436"], "final_answer": "-12460436", "answer_type": "integer", "kind": "expression", "math_text": "97040 - (-3924 + 7240 * 1735)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 97040, \"b\": -3924, \"c\": 7240, \"d\": 1735}", "seed": "12770875828330446313", "semantic_fingerprint": "sha256:678c9e6e0e6308090d711c2eab1a0d154964739256cbf2eaa9a035771ef8bb7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001212", "prompt": "Compute: -37863 + (-89345 + (-2090)) + (-3141 - (-8235 - 2617))", "solution_steps": ["Add: -89345 + (-2090) = -91435", "Add: -37863 + (-91435) = -129298", "Subtract: -8235 - 2617 = -10852", "Subtract: -3141 - (-10852) = 7711", "Add: -129298 + 7711 = -121587"], "final_answer": "-121587", "answer_type": "integer", "kind": "expression", "math_text": "-37863 + (-89345 + (-2090)) + (-3141 - (-8235 - 2617))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37863, \"b\": -89345, \"c\": -2090, \"d\": -3141, \"e\": -8235, \"f\": 2617}", "seed": "10995386692975263124", "semantic_fingerprint": "sha256:11db419a25c7ad7454a54333665142d2e065302e76caea6e4acb9a1e0ed2a3aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001213", "prompt": "What is 78672 * (5099 * 1963 - (1293 + (-76661)))?", "solution_steps": ["Multiply: 5099 * 1963 = 10009337", "Add: 1293 + (-76661) = -75368", "Subtract: 10009337 - (-75368) = 10084705", "Multiply: 78672 * 10084705 = 793383911760"], "final_answer": "793383911760", "answer_type": "integer", "kind": "expression", "math_text": "78672 * (5099 * 1963 - (1293 + (-76661)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 78672, \"b\": 5099, \"c\": 1963, \"d\": 1293, \"e\": -76661}", "seed": "6101239688489184945", "semantic_fingerprint": "sha256:1b6e2e27e3acaed42bd1f68f302e3a4e8a7d1b27ee584a169e8def4a3a9c83f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001214", "prompt": "What is -99072 / (-4140 + (-8356) + 9976)?", "solution_steps": ["Add: -4140 + (-8356) = -12496", "Add: -12496 + 9976 = -2520", "Divide: -99072 / (-2520) = 1376/35"], "final_answer": "1376/35", "answer_type": "rational", "kind": "expression", "math_text": "-99072 / (-4140 + (-8356) + 9976)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -99072, \"b\": -4140, \"c\": -8356, \"d\": 9976}", "seed": "12739674299497274671", "semantic_fingerprint": "sha256:f08958f8ae920682529fc385458542b428f57de3eb5e20524c1923c65dc3d875", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001215", "prompt": "Calculate: (-2009 - (-5023)) / (-3048) + 18960", "solution_steps": ["Subtract: -2009 - (-5023) = 3014", "Divide: 3014 / (-3048) = -1507/1524", "Add: -1507/1524 + 18960 = 28893533/1524"], "final_answer": "28893533/1524", "answer_type": "rational", "kind": "expression", "math_text": "(-2009 - (-5023)) / (-3048) + 18960", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2009, \"b\": -5023, \"c\": -3048, \"d\": 18960}", "seed": "4134151315082512261", "semantic_fingerprint": "sha256:ba2012633ab13ee2d21bdd67d43fd79ff6259edde7c39d2f01f8545b979c364b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001216", "prompt": "Solve the equation 34(x - 28707) + 8958 = x for x.", "solution_steps": ["Expand: 34x - 976038 + 8958 = x", "Combine constants: 34x - 967080 = x", "Subtract x from both sides: 33x - 967080 = 0", "Add 967080 to both sides: 33x = 967080", "Divide both sides by 33: x = 322360/11"], "final_answer": "322360/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 28707) + 8958 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 28707, \"c\": 8958}", "seed": "8794166419174051690", "semantic_fingerprint": "sha256:d8988ca07d9c95978eb0817fc5c498c4bc3165060c6935669521ef9efb71b75d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001217", "prompt": "Compute: 6324 + (-3491)", "solution_steps": ["Add: 6324 + (-3491) = 2833"], "final_answer": "2833", "answer_type": "integer", "kind": "expression", "math_text": "6324 + (-3491)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6324, \"b\": -3491}", "seed": "13259106073008445945", "semantic_fingerprint": "sha256:0a0760cab9bd0380b278800c0db62d8f6344aada9323e4b16ec08f70f1646369", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001218", "prompt": "Evaluate: (-6885 + (-3453)) * 6045 + (-76184)", "solution_steps": ["Add: -6885 + (-3453) = -10338", "Multiply: -10338 * 6045 = -62493210", "Add: -62493210 + (-76184) = -62569394"], "final_answer": "-62569394", "answer_type": "integer", "kind": "expression", "math_text": "(-6885 + (-3453)) * 6045 + (-76184)", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6885, \"b\": -3453, \"c\": 6045, \"d\": -76184}", "seed": "3555680477894494737", "semantic_fingerprint": "sha256:9dc296087383924c7edf8f5d5a10d4c2648c1d08ef81cd337113df7865110b36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001219", "prompt": "Compute: 4312 / 4111", "solution_steps": ["Divide: 4312 / 4111 = 4312/4111"], "final_answer": "4312/4111", "answer_type": "rational", "kind": "expression", "math_text": "4312 / 4111", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4312, \"b\": 4111}", "seed": "5027716915608780686", "semantic_fingerprint": "sha256:57df9ef8bc2b4dbbb845e0d1a6c8a4667ae971bfc5349bc0517db3978dd51c08", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001220", "prompt": "Compute: -24229 * (14858 - (4802 - 2698))", "solution_steps": ["Subtract: 4802 - 2698 = 2104", "Subtract: 14858 - 2104 = 12754", "Multiply: -24229 * 12754 = -309016666"], "final_answer": "-309016666", "answer_type": "integer", "kind": "expression", "math_text": "-24229 * (14858 - (4802 - 2698))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24229, \"b\": 14858, \"c\": 4802, \"d\": 2698}", "seed": "2552067089066736624", "semantic_fingerprint": "sha256:d526d1a8a69dfb9eff25f44cfff8362cd18a656dce08df9c60237236c679c721", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001221", "prompt": "Compute: 39985 / (7258 - 9572)", "solution_steps": ["Subtract: 7258 - 9572 = -2314", "Divide: 39985 / (-2314) = -39985/2314"], "final_answer": "-39985/2314", "answer_type": "rational", "kind": "expression", "math_text": "39985 / (7258 - 9572)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39985, \"b\": 7258, \"c\": 9572}", "seed": "3004462999831609355", "semantic_fingerprint": "sha256:a2b7164cbc501f72ecc2712bef6a90f0d897a09f5b0e66135f9d2e2073442675", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001222", "prompt": "What is -33290 / 82283?", "solution_steps": ["Divide: -33290 / 82283 = -33290/82283"], "final_answer": "-33290/82283", "answer_type": "rational", "kind": "expression", "math_text": "-33290 / 82283", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33290, \"b\": 82283}", "seed": "6631631993239766634", "semantic_fingerprint": "sha256:fbaffb22d855ed7eea7da843d721b7f75b71721c0876cb28297ed86da7d18829", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001223", "prompt": "Solve the equation 36x + 6260 = -5401 for x.", "solution_steps": ["Subtract 6260 from both sides: 36x = -11661", "Divide both sides by 36: x = -3887/12"], "final_answer": "-3887/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x + 6260 = -5401", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 6260, \"c\": -5401}", "seed": "11756867059531202539", "semantic_fingerprint": "sha256:1242d451864e2651fe0cdbbd55058f1a5bdde54790bd06c687ef8976b3e2088f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001224", "prompt": "Solve the equation 20(x + 8640) = 34(x + 4195) + 28686 for x.", "solution_steps": ["Expand: 20x + 172800 = 34(x + 4195) + 28686", "Expand: 20x + 172800 = 34x + 142630 + 28686", "Combine constants: 20x + 172800 = 34x + 171316", "Subtract 34x from both sides: -14x + 172800 = 171316", "Subtract 172800 from both sides: -14x = -1484", "Divide both sides by -14: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 8640) = 34(x + 4195) + 28686", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 8640, \"c\": 34, \"d\": 4195, \"f\": 28686, \"x\": 106}", "seed": "3792261522184767696", "semantic_fingerprint": "sha256:7090007c60ca341d4484a4fa7bec155d0f05f3c4277391c72bfc0f1a7fa21666", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001225", "prompt": "Compute: 2137 / (-79770 + (-91092))", "solution_steps": ["Add: -79770 + (-91092) = -170862", "Divide: 2137 / (-170862) = -2137/170862"], "final_answer": "-2137/170862", "answer_type": "rational", "kind": "expression", "math_text": "2137 / (-79770 + (-91092))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2137, \"b\": -79770, \"c\": -91092}", "seed": "4328470646684931914", "semantic_fingerprint": "sha256:3370c28d71e11a2b6dba094a5021c278dea706b2f6c13b2bbbcc0bf11636caa0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001226", "prompt": "What is -7824 * 4124 * (-5503) - (-5206)?", "solution_steps": ["Multiply: -7824 * 4124 = -32266176", "Multiply: -32266176 * (-5503) = 177560766528", "Subtract: 177560766528 - (-5206) = 177560771734"], "final_answer": "177560771734", "answer_type": "integer", "kind": "expression", "math_text": "-7824 * 4124 * (-5503) - (-5206)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7824, \"b\": 4124, \"c\": -5503, \"d\": -5206}", "seed": "16389126116184664880", "semantic_fingerprint": "sha256:d730f252477e065a6810154f025c78dc15fef1c960e6f0a38a0f7f72ec3f0fe8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001227", "prompt": "Evaluate: -28917 - (-5249) + (-40166) / 11924", "solution_steps": ["Subtract: -28917 - (-5249) = -23668", "Divide: -40166 / 11924 = -20083/5962", "Add: -23668 + (-20083/5962) = -141128699/5962"], "final_answer": "-141128699/5962", "answer_type": "rational", "kind": "expression", "math_text": "-28917 - (-5249) + (-40166) / 11924", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28917, \"b\": -5249, \"c\": -40166, \"d\": 11924}", "seed": "8794071879750581872", "semantic_fingerprint": "sha256:84d583e51f9ba44bec050d2cf3caa60af9e0025ee4a0af146c1c69c478ea6788", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001228", "prompt": "Evaluate: -1344 * (-42762 + (-88811))", "solution_steps": ["Add: -42762 + (-88811) = -131573", "Multiply: -1344 * (-131573) = 176834112"], "final_answer": "176834112", "answer_type": "integer", "kind": "expression", "math_text": "-1344 * (-42762 + (-88811))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1344, \"b\": -42762, \"c\": -88811}", "seed": "4629433284405217681", "semantic_fingerprint": "sha256:76ec2d8724d1114f06e21d3cf022ffa4bdc2d24940c22dab9a62ec55404862a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001229", "prompt": "Calculate: -81126 / (-4420)", "solution_steps": ["Divide: -81126 / (-4420) = 40563/2210"], "final_answer": "40563/2210", "answer_type": "rational", "kind": "expression", "math_text": "-81126 / (-4420)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81126, \"b\": -4420}", "seed": "13598572307004881211", "semantic_fingerprint": "sha256:7cff8738bc0078de4189fa73533ba8d74ce7c99e0dd42862e4c376438ca5d54b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001230", "prompt": "Calculate: 2839 * 9704 - (92484 + 1480)", "solution_steps": ["Multiply: 2839 * 9704 = 27549656", "Add: 92484 + 1480 = 93964", "Subtract: 27549656 - 93964 = 27455692"], "final_answer": "27455692", "answer_type": "integer", "kind": "expression", "math_text": "2839 * 9704 - (92484 + 1480)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2839, \"b\": 9704, \"c\": 92484, \"d\": 1480}", "seed": "10944422965926567068", "semantic_fingerprint": "sha256:f042e9d2e4bb1b49f8450c2cbe8e87d7c1f8acd69ee19ff15b1ee2a25c3d7b0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001231", "prompt": "What is -84149 + (-6478 - 4544)?", "solution_steps": ["Subtract: -6478 - 4544 = -11022", "Add: -84149 + (-11022) = -95171"], "final_answer": "-95171", "answer_type": "integer", "kind": "expression", "math_text": "-84149 + (-6478 - 4544)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84149, \"b\": -6478, \"c\": 4544}", "seed": "857096589135085623", "semantic_fingerprint": "sha256:aeb631c7cc2cdcf7132811a89366cd83358a9676605f0bbfc072a5db3873a46e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001232", "prompt": "Find x: x + 4639 = 37x - 2976", "solution_steps": ["Subtract 37x from both sides: -36x + 4639 = -2976", "Subtract 4639 from both sides: -36x = -7615", "Divide both sides by -36: x = 7615/36"], "final_answer": "7615/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4639 = 37x - 2976", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4639, \"b\": 37, \"c\": 2976}", "seed": "1604055499086093228", "semantic_fingerprint": "sha256:fccdf7a5e83d91c7f879549a446a283b51dc4d7297f78b8f8ecf857a1c5ac1c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001233", "prompt": "Evaluate: 2711 * (-1179) * (-5826) / (-4257)", "solution_steps": ["Multiply: 2711 * (-1179) = -3196269", "Multiply: -3196269 * (-5826) = 18621463194", "Divide: 18621463194 / (-4257) = -2069051466/473"], "final_answer": "-2069051466/473", "answer_type": "rational", "kind": "expression", "math_text": "2711 * (-1179) * (-5826) / (-4257)", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2711, \"b\": -1179, \"c\": -5826, \"d\": -4257}", "seed": "7766219282197146432", "semantic_fingerprint": "sha256:c269c9f2e9755d0322cd4536a1250753d68acf74f23d08276e5756a4c52830fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001234", "prompt": "Evaluate: 2080 * 4876", "solution_steps": ["Multiply: 2080 * 4876 = 10142080"], "final_answer": "10142080", "answer_type": "integer", "kind": "expression", "math_text": "2080 * 4876", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2080, \"b\": 4876}", "seed": "6382891771081625003", "semantic_fingerprint": "sha256:18beae79a5a13bbb60d8e3b0c7b5b798c85dc70f6a33a26e36537b68eab12a7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001235", "prompt": "Calculate: 45569 * 3510 - (8280 - (-89244))", "solution_steps": ["Multiply: 45569 * 3510 = 159947190", "Subtract: 8280 - (-89244) = 97524", "Subtract: 159947190 - 97524 = 159849666"], "final_answer": "159849666", "answer_type": "integer", "kind": "expression", "math_text": "45569 * 3510 - (8280 - (-89244))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 45569, \"b\": 3510, \"c\": 8280, \"d\": -89244}", "seed": "6493841654079420078", "semantic_fingerprint": "sha256:5b6c21a30912595f35009b3246d1673e773f57455f090a6499267411256874d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001236", "prompt": "What is -4253 / 69480 * (-4679)?", "solution_steps": ["Divide: -4253 / 69480 = -4253/69480", "Multiply: (-4253/69480) * (-4679) = 19899787/69480"], "final_answer": "19899787/69480", "answer_type": "rational", "kind": "expression", "math_text": "-4253 / 69480 * (-4679)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4253, \"b\": 69480, \"c\": -4679}", "seed": "11279655393275835193", "semantic_fingerprint": "sha256:29cf9416536771f63286baa9781f0871328ac0adbb8a0ac993a578265a10450e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001237", "prompt": "Evaluate: -8550 / (91059 / (-49236))", "solution_steps": ["Divide: 91059 / (-49236) = -30353/16412", "Divide: -8550 / (-30353/16412) = 140322600/30353"], "final_answer": "140322600/30353", "answer_type": "rational", "kind": "expression", "math_text": "-8550 / (91059 / (-49236))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8550, \"b\": 91059, \"c\": -49236}", "seed": "17187556738970899062", "semantic_fingerprint": "sha256:c489f1b73cf4a47f48a7f7d20f83cdaaa393f85c047b2b569b1f191022989b1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001238", "prompt": "What is -5461 / (-7879)?", "solution_steps": ["Divide: -5461 / (-7879) = 5461/7879"], "final_answer": "5461/7879", "answer_type": "rational", "kind": "expression", "math_text": "-5461 / (-7879)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5461, \"b\": -7879}", "seed": "15592624067267933500", "semantic_fingerprint": "sha256:16f5c6ef29e65c21d5e35df6de847c93d7ca1db13ca0e5b0a77131fc8169d710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001239", "prompt": "What is 7827 + (-8793) / 66997?", "solution_steps": ["Divide: -8793 / 66997 = -8793/66997", "Add: 7827 + (-8793/66997) = 524376726/66997"], "final_answer": "524376726/66997", "answer_type": "rational", "kind": "expression", "math_text": "7827 + (-8793) / 66997", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7827, \"b\": -8793, \"c\": 66997}", "seed": "871474433241452823", "semantic_fingerprint": "sha256:d4ec2e36e6e008375af86ce10e6ea5bdc9234eb8380785dc11dd806dc689eb58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001240", "prompt": "Compute: 3819 + (-99358) - (-2440) / (-9185)", "solution_steps": ["Add: 3819 + (-99358) = -95539", "Divide: -2440 / (-9185) = 488/1837", "Subtract: -95539 - 488/1837 = -175505631/1837"], "final_answer": "-175505631/1837", "answer_type": "rational", "kind": "expression", "math_text": "3819 + (-99358) - (-2440) / (-9185)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3819, \"b\": -99358, \"c\": -2440, \"d\": -9185}", "seed": "13719991031130538204", "semantic_fingerprint": "sha256:1758281e8405c6534a82402316b0f926bb78547ab50dfd77bf636e85932c5297", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001241", "prompt": "Calculate: 7562 + (-32999) - 4144", "solution_steps": ["Add: 7562 + (-32999) = -25437", "Subtract: -25437 - 4144 = -29581"], "final_answer": "-29581", "answer_type": "integer", "kind": "expression", "math_text": "7562 + (-32999) - 4144", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7562, \"b\": -32999, \"c\": 4144}", "seed": "15091861253160338446", "semantic_fingerprint": "sha256:35b62e2013b57db0c39b6b5e7560b5c4b4c88e52eec2cf6ab8373ee8fbdffb98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001242", "prompt": "Calculate: -2049 / (21753 / 8752)", "solution_steps": ["Divide: 21753 / 8752 = 21753/8752", "Divide: -2049 / (21753/8752) = -5977616/7251"], "final_answer": "-5977616/7251", "answer_type": "rational", "kind": "expression", "math_text": "-2049 / (21753 / 8752)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2049, \"b\": 21753, \"c\": 8752}", "seed": "9813257347134801867", "semantic_fingerprint": "sha256:e4ed2a1b753915c0c3d6c6467890e3865cbc92a46696aea03d0f0acbdf442196", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001243", "prompt": "Compute: (7307 + (1665 + 1665)) / 2697", "solution_steps": ["Add: 1665 + 1665 = 3330", "Add: 7307 + 3330 = 10637", "Divide: 10637 / 2697 = 10637/2697"], "final_answer": "10637/2697", "answer_type": "rational", "kind": "expression", "math_text": "(7307 + (1665 + 1665)) / 2697", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7307, \"b\": 1665, \"c\": 1665, \"d\": 2697}", "seed": "10657823855457575698", "semantic_fingerprint": "sha256:0d338288d0c30d094518d1e752b0da99fd5a9f9a93425998aa0ea3e50b3b43c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001244", "prompt": "Compute: -24375 + (32483 / (-3547) + 8816)", "solution_steps": ["Divide: 32483 / (-3547) = -32483/3547", "Add: -32483/3547 + 8816 = 31237869/3547", "Add: -24375 + 31237869/3547 = -55220256/3547"], "final_answer": "-55220256/3547", "answer_type": "rational", "kind": "expression", "math_text": "-24375 + (32483 / (-3547) + 8816)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24375, \"b\": 32483, \"c\": -3547, \"d\": 8816}", "seed": "18322215142552465279", "semantic_fingerprint": "sha256:5367f3496a5f8508f70c5f5c0f0eb4ecb3b7d7fa228402114ae8f18b28f73c32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001245", "prompt": "What is -95544 / 20858 - 6729?", "solution_steps": ["Divide: -95544 / 20858 = -47772/10429", "Subtract: -47772/10429 - 6729 = -70224513/10429"], "final_answer": "-70224513/10429", "answer_type": "rational", "kind": "expression", "math_text": "-95544 / 20858 - 6729", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95544, \"b\": 20858, \"c\": 6729}", "seed": "12325221823028768158", "semantic_fingerprint": "sha256:3b5d9964256b189912882572cd93b44e7fc923fb5d4420c3b76073940793e5e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001246", "prompt": "Calculate: -2215 - 5902", "solution_steps": ["Subtract: -2215 - 5902 = -8117"], "final_answer": "-8117", "answer_type": "integer", "kind": "expression", "math_text": "-2215 - 5902", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2215, \"b\": 5902}", "seed": "12220545736675680826", "semantic_fingerprint": "sha256:f27d67f30a2d1c38d9b239cd8d4aaab9dd58e5a16aa95ff70a6efdbf99aca413", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001247", "prompt": "Compute: 36812 * 7593 + (-48123 * 4635 + (-8154) * (-5278))", "solution_steps": ["Multiply: 36812 * 7593 = 279513516", "Multiply: -48123 * 4635 = -223050105", "Multiply: -8154 * (-5278) = 43036812", "Add: -223050105 + 43036812 = -180013293", "Add: 279513516 + (-180013293) = 99500223"], "final_answer": "99500223", "answer_type": "integer", "kind": "expression", "math_text": "36812 * 7593 + (-48123 * 4635 + (-8154) * (-5278))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (* n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36812, \"b\": 7593, \"c\": -48123, \"d\": 4635, \"e\": -8154, \"f\": -5278}", "seed": "6059701661012238982", "semantic_fingerprint": "sha256:684383cfa874b5b65d92908ab04c4b119297b60c968b3b26966a98bb233417d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001248", "prompt": "Solve the equation -31(x + 16785) = x for x.", "solution_steps": ["Expand: -31x - 520335 = x", "Subtract x from both sides: -32x - 520335 = 0", "Add 520335 to both sides: -32x = 520335", "Divide both sides by -32: x = -520335/32"], "final_answer": "-520335/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 16785) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 16785}", "seed": "5562445959582141597", "semantic_fingerprint": "sha256:0b0affbfa43988bc503c873aabac16d61edf5494b1e4d2dd2cc7eb0c188686d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001249", "prompt": "Evaluate: 40325 * (-9388) / (-62703)", "solution_steps": ["Multiply: 40325 * (-9388) = -378571100", "Divide: -378571100 / (-62703) = 378571100/62703"], "final_answer": "378571100/62703", "answer_type": "rational", "kind": "expression", "math_text": "40325 * (-9388) / (-62703)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40325, \"b\": -9388, \"c\": -62703}", "seed": "10131148220748688563", "semantic_fingerprint": "sha256:0ecd8c0fb53cc7d9a8003111300065cf56ea296fb06fd98b2f3552d99da208b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001250", "prompt": "Evaluate: -7117 + (-9876) - (23898 - (-7711))", "solution_steps": ["Add: -7117 + (-9876) = -16993", "Subtract: 23898 - (-7711) = 31609", "Subtract: -16993 - 31609 = -48602"], "final_answer": "-48602", "answer_type": "integer", "kind": "expression", "math_text": "-7117 + (-9876) - (23898 - (-7711))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7117, \"b\": -9876, \"c\": 23898, \"d\": -7711}", "seed": "7278380078267265671", "semantic_fingerprint": "sha256:b0dc163772c25adb1399c14b2be88d3bb08b6b44b2702f3fdf842a3a597143d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001251", "prompt": "What value of x satisfies 27x + 7506 = x - 8012?", "solution_steps": ["Subtract x from both sides: 26x + 7506 = -8012", "Subtract 7506 from both sides: 26x = -15518", "Divide both sides by 26: x = -7759/13"], "final_answer": "-7759/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 7506 = x - 8012", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 7506, \"c\": 8012}", "seed": "9474138943304665334", "semantic_fingerprint": "sha256:ec838667441d12959c110909d4fb91bfd4a1e19462e0795cced556424c412702", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001252", "prompt": "What value of x satisfies x - 71760 = 33x - 1603?", "solution_steps": ["Subtract 33x from both sides: -32x - 71760 = -1603", "Add 71760 to both sides: -32x = 70157", "Divide both sides by -32: x = -70157/32"], "final_answer": "-70157/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 71760 = 33x - 1603", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71760, \"b\": 33, \"c\": 1603}", "seed": "3718351535891693432", "semantic_fingerprint": "sha256:29b70e0472dc453035dfb124bb0188e92d6a5fce3bc789fa19b9c69ed067cc26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001253", "prompt": "What is (-1765 + (-3263)) * (7519 / (-6910))?", "solution_steps": ["Add: -1765 + (-3263) = -5028", "Divide: 7519 / (-6910) = -7519/6910", "Multiply: -5028 * (-7519/6910) = 18902766/3455"], "final_answer": "18902766/3455", "answer_type": "rational", "kind": "expression", "math_text": "(-1765 + (-3263)) * (7519 / (-6910))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1765, \"b\": -3263, \"c\": 7519, \"d\": -6910}", "seed": "6024539974305185309", "semantic_fingerprint": "sha256:b285f3320f2f134a043a7d659c17778fcd032404fbab1c3ba5f3eb93428d011b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001254", "prompt": "Calculate: -7318 / (-10619) + 9269 + (-91177 - (-42209))", "solution_steps": ["Divide: -7318 / (-10619) = 7318/10619", "Add: 7318/10619 + 9269 = 98434829/10619", "Subtract: -91177 - (-42209) = -48968", "Add: 98434829/10619 + (-48968) = -421556363/10619"], "final_answer": "-421556363/10619", "answer_type": "rational", "kind": "expression", "math_text": "-7318 / (-10619) + 9269 + (-91177 - (-42209))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7318, \"b\": -10619, \"c\": 9269, \"d\": -91177, \"e\": -42209}", "seed": "1375255586317983227", "semantic_fingerprint": "sha256:305217157142c98b198867896ee2504cdd4aee3396088ccc6f4e7159cf142435", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001255", "prompt": "Solve for x: 35(x - 3158) + 7395 = 16x", "solution_steps": ["Expand: 35x - 110530 + 7395 = 16x", "Combine constants: 35x - 103135 = 16x", "Subtract 16x from both sides: 19x - 103135 = 0", "Add 103135 to both sides: 19x = 103135", "Divide both sides by 19: x = 103135/19"], "final_answer": "103135/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 3158) + 7395 = 16x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 3158, \"c\": 7395, \"d\": 16}", "seed": "1720696417266560559", "semantic_fingerprint": "sha256:03c8f5d3f15218cb55342894ae375545818a9d23838cc9e9e54fc1feca218c3d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001256", "prompt": "Evaluate: -3890 * (3669 - (-2139))", "solution_steps": ["Subtract: 3669 - (-2139) = 5808", "Multiply: -3890 * 5808 = -22593120"], "final_answer": "-22593120", "answer_type": "integer", "kind": "expression", "math_text": "-3890 * (3669 - (-2139))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3890, \"b\": 3669, \"c\": -2139}", "seed": "10217411341878731659", "semantic_fingerprint": "sha256:d20668742f0f7ea595f5510dbb462250c8249c27c276f87616bb3fe645e5be2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001257", "prompt": "Evaluate: 5649 - (-9652)", "solution_steps": ["Subtract: 5649 - (-9652) = 15301"], "final_answer": "15301", "answer_type": "integer", "kind": "expression", "math_text": "5649 - (-9652)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5649, \"b\": -9652}", "seed": "18183182128380821203", "semantic_fingerprint": "sha256:b8b80c553f7344c0c9ff36a76ce5ddc37cdfcdbe72ec952e99602f7dc3150256", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001258", "prompt": "Calculate: 3556 + (-17215)", "solution_steps": ["Add: 3556 + (-17215) = -13659"], "final_answer": "-13659", "answer_type": "integer", "kind": "expression", "math_text": "3556 + (-17215)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3556, \"b\": -17215}", "seed": "2467239420639928267", "semantic_fingerprint": "sha256:99dc57c0bd3002201f93d3c3d9654d2df8606c5e0a413d0672ed3f4d839186fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001259", "prompt": "Calculate: -18606 + 4841 + 4605", "solution_steps": ["Add: -18606 + 4841 = -13765", "Add: -13765 + 4605 = -9160"], "final_answer": "-9160", "answer_type": "integer", "kind": "expression", "math_text": "-18606 + 4841 + 4605", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18606, \"b\": 4841, \"c\": 4605}", "seed": "14795505060671739097", "semantic_fingerprint": "sha256:803c4b7ee87502578373db7272ecd26c2764ebf4914fe402d463117dc6d0bc57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001260", "prompt": "Evaluate: (59443 + (-9730)) / (-3283)", "solution_steps": ["Add: 59443 + (-9730) = 49713", "Divide: 49713 / (-3283) = -49713/3283"], "final_answer": "-49713/3283", "answer_type": "rational", "kind": "expression", "math_text": "(59443 + (-9730)) / (-3283)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59443, \"b\": -9730, \"c\": -3283}", "seed": "11815125665934135293", "semantic_fingerprint": "sha256:513c4c505d76c756c0ed1877c84116d70c3b06058c55836d6b2873201e136cf9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001261", "prompt": "Calculate: 2077 + (-49694) * (-22966)", "solution_steps": ["Multiply: -49694 * (-22966) = 1141272404", "Add: 2077 + 1141272404 = 1141274481"], "final_answer": "1141274481", "answer_type": "integer", "kind": "expression", "math_text": "2077 + (-49694) * (-22966)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2077, \"b\": -49694, \"c\": -22966}", "seed": "4912532078915871067", "semantic_fingerprint": "sha256:57be9024db8fcfe24548bdce2b853430878b71db890f43d28ae88c4daa021fb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001262", "prompt": "Calculate: 4853 * (-42163)", "solution_steps": ["Multiply: 4853 * (-42163) = -204617039"], "final_answer": "-204617039", "answer_type": "integer", "kind": "expression", "math_text": "4853 * (-42163)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4853, \"b\": -42163}", "seed": "4125920855234230013", "semantic_fingerprint": "sha256:f888f14b19d8dd2ce124a5573f0a75c5a68417da96eea1a356320781a956527d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001263", "prompt": "What is -7204 * (-4454) - 92519 - 48021 - (-3173)?", "solution_steps": ["Multiply: -7204 * (-4454) = 32086616", "Subtract: 32086616 - 92519 = 31994097", "Subtract: 31994097 - 48021 = 31946076", "Subtract: 31946076 - (-3173) = 31949249"], "final_answer": "31949249", "answer_type": "integer", "kind": "expression", "math_text": "-7204 * (-4454) - 92519 - 48021 - (-3173)", "variable": null, "family": "expression_4op", "shape": "(- (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7204, \"b\": -4454, \"c\": 92519, \"d\": 48021, \"e\": -3173}", "seed": "7258425823569351821", "semantic_fingerprint": "sha256:d2269f7c07e843a9c8d075c19c1bb5f97c051099433899f399b733ffd30b6b9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001264", "prompt": "Compute: 7724 / (-33100)", "solution_steps": ["Divide: 7724 / (-33100) = -1931/8275"], "final_answer": "-1931/8275", "answer_type": "rational", "kind": "expression", "math_text": "7724 / (-33100)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7724, \"b\": -33100}", "seed": "16255892697755524085", "semantic_fingerprint": "sha256:6f77df60b64eef10dde4fa8cbed9b0f481bcdefb2b63d4a8d7342115d65bed9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001265", "prompt": "Evaluate: 98250 / 22766", "solution_steps": ["Divide: 98250 / 22766 = 49125/11383"], "final_answer": "49125/11383", "answer_type": "rational", "kind": "expression", "math_text": "98250 / 22766", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98250, \"b\": 22766}", "seed": "11920989712477739259", "semantic_fingerprint": "sha256:e353c17ac5f61cb5090ce2345807b857d57cde05583f68810f63839cdbafec26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001266", "prompt": "Compute: 2884 * (-85898 * (-1992))", "solution_steps": ["Multiply: -85898 * (-1992) = 171108816", "Multiply: 2884 * 171108816 = 493477825344"], "final_answer": "493477825344", "answer_type": "integer", "kind": "expression", "math_text": "2884 * (-85898 * (-1992))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2884, \"b\": -85898, \"c\": -1992}", "seed": "9449377714799310957", "semantic_fingerprint": "sha256:ba629b56cbb085a0873ae41461951ab7740c7c87e00a6688bd3d1ed99277972e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001267", "prompt": "Compute: 3276 + (-98186 - (66870 + 39282 + 5064))", "solution_steps": ["Add: 66870 + 39282 = 106152", "Add: 106152 + 5064 = 111216", "Subtract: -98186 - 111216 = -209402", "Add: 3276 + (-209402) = -206126"], "final_answer": "-206126", "answer_type": "integer", "kind": "expression", "math_text": "3276 + (-98186 - (66870 + 39282 + 5064))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3276, \"b\": -98186, \"c\": 66870, \"d\": 39282, \"e\": 5064}", "seed": "18245256323510201889", "semantic_fingerprint": "sha256:0fe32759d178c917cfd36ad20f54919dc05f95d70e6cd7ed42fc4c840fc80a87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001268", "prompt": "Solve the equation -34x = -20(x - 4237) - 82318 for x.", "solution_steps": ["Expand: -34x = -20x + 84740 - 82318", "Combine constants: -34x = -20x + 2422", "Add 20x to both sides: -14x = 2422", "Divide both sides by -14: x = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x = -20(x - 4237) - 82318", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": -20, \"c\": 4237, \"e\": -82318, \"x\": -173}", "seed": "12883789532438163073", "semantic_fingerprint": "sha256:a7241574f4f58aa7a993cc4ae1217c58fb9df0f1717538e3fbd6b3b4e3c69741", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001269", "prompt": "What is 3777 - (-68061 - (-6930))?", "solution_steps": ["Subtract: -68061 - (-6930) = -61131", "Subtract: 3777 - (-61131) = 64908"], "final_answer": "64908", "answer_type": "integer", "kind": "expression", "math_text": "3777 - (-68061 - (-6930))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3777, \"b\": -68061, \"c\": -6930}", "seed": "17468203672542813582", "semantic_fingerprint": "sha256:b997149b9ab0b7365d3ede70a5088253ed0b7ccd756ee8bd151e509cd2d34b99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001270", "prompt": "What is -94186 - (-81279 / (-6175) + (-98820) + (-6504 + 7508))?", "solution_steps": ["Divide: -81279 / (-6175) = 81279/6175", "Add: 81279/6175 + (-98820) = -610132221/6175", "Add: -6504 + 7508 = 1004", "Add: -610132221/6175 + 1004 = -603932521/6175", "Subtract: -94186 - (-603932521/6175) = 22333971/6175"], "final_answer": "22333971/6175", "answer_type": "rational", "kind": "expression", "math_text": "-94186 - (-81279 / (-6175) + (-98820) + (-6504 + 7508))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (/ n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -94186, \"b\": -81279, \"c\": -6175, \"d\": -98820, \"e\": -6504, \"f\": 7508}", "seed": "18025427574633309091", "semantic_fingerprint": "sha256:8f8bb470948b9284baee57f19da705072ba045ff9479be2e8ddb364296c141de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001271", "prompt": "Evaluate: -35067 + 9523 - (70498 + 91270 + (81036 - (-53745)))", "solution_steps": ["Add: -35067 + 9523 = -25544", "Add: 70498 + 91270 = 161768", "Subtract: 81036 - (-53745) = 134781", "Add: 161768 + 134781 = 296549", "Subtract: -25544 - 296549 = -322093"], "final_answer": "-322093", "answer_type": "integer", "kind": "expression", "math_text": "-35067 + 9523 - (70498 + 91270 + (81036 - (-53745)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35067, \"b\": 9523, \"c\": 70498, \"d\": 91270, \"e\": 81036, \"f\": -53745}", "seed": "7529647518972018346", "semantic_fingerprint": "sha256:a10296ff3cd8a0e8cda45bc03c9dee7ae98e9c038271187848aff92d5d05bb29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001272", "prompt": "What value of x satisfies x - 4405 = 28x - 8376?", "solution_steps": ["Subtract 28x from both sides: -27x - 4405 = -8376", "Add 4405 to both sides: -27x = -3971", "Divide both sides by -27: x = 3971/27"], "final_answer": "3971/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4405 = 28x - 8376", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4405, \"b\": 28, \"c\": 8376}", "seed": "13262995992320408744", "semantic_fingerprint": "sha256:195f5b0178071bce4b92fc67aeecde581de01b36eaf448d5cc5edf5c70e7817c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001273", "prompt": "Evaluate: -6485 + 3331 - (-72804 - (-8630))", "solution_steps": ["Add: -6485 + 3331 = -3154", "Subtract: -72804 - (-8630) = -64174", "Subtract: -3154 - (-64174) = 61020"], "final_answer": "61020", "answer_type": "integer", "kind": "expression", "math_text": "-6485 + 3331 - (-72804 - (-8630))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6485, \"b\": 3331, \"c\": -72804, \"d\": -8630}", "seed": "4739737900729018046", "semantic_fingerprint": "sha256:36d40c22e18afb8d2b920f7f8e6316dcf45b7220a08a9210aa248f29a2d21f6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001274", "prompt": "Solve the equation -23x + 4282 = 24x + 2261 for x.", "solution_steps": ["Subtract 24x from both sides: -47x + 4282 = 2261", "Subtract 4282 from both sides: -47x = -2021", "Divide both sides by -47: x = 43"], "final_answer": "43", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x + 4282 = 24x + 2261", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 4282, \"c\": 24, \"e\": 2261, \"x\": 43}", "seed": "13858248302041873340", "semantic_fingerprint": "sha256:77e00fac9e7faa6a0756ae92a56527dd83bab248746ad38a7753f80f173d5778", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001275", "prompt": "Compute: 68608 * 52307", "solution_steps": ["Multiply: 68608 * 52307 = 3588678656"], "final_answer": "3588678656", "answer_type": "integer", "kind": "expression", "math_text": "68608 * 52307", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 68608, \"b\": 52307}", "seed": "4310126070418513817", "semantic_fingerprint": "sha256:214e3ecefc686a832d0748f45b01a2240574967f744c05db13843114d22ba884", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001276", "prompt": "Find x: x + 78322 = 78239", "solution_steps": ["Subtract 78322 from both sides: x = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 78322 = 78239", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78322, \"c\": 78239, \"x\": -83}", "seed": "431099787233429119", "semantic_fingerprint": "sha256:940e9fe6f85ff1962618bd907746e285d90bf0cb2eafdde303307effaa10418a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001277", "prompt": "What is ((6624 - 78150) * (-7453) - (-5105)) / 37466?", "solution_steps": ["Subtract: 6624 - 78150 = -71526", "Multiply: -71526 * (-7453) = 533083278", "Subtract: 533083278 - (-5105) = 533088383", "Divide: 533088383 / 37466 = 533088383/37466"], "final_answer": "533088383/37466", "answer_type": "rational", "kind": "expression", "math_text": "((6624 - 78150) * (-7453) - (-5105)) / 37466", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6624, \"b\": 78150, \"c\": -7453, \"d\": -5105, \"e\": 37466}", "seed": "16865360476354396049", "semantic_fingerprint": "sha256:3ac61934d84d8f6cb70eb20b1cae56baf71aaacbe786e670940b8753690fb8c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001278", "prompt": "Evaluate: -2429 + 7472 / (-91790)", "solution_steps": ["Divide: 7472 / (-91790) = -3736/45895", "Add: -2429 + (-3736/45895) = -111482691/45895"], "final_answer": "-111482691/45895", "answer_type": "rational", "kind": "expression", "math_text": "-2429 + 7472 / (-91790)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2429, \"b\": 7472, \"c\": -91790}", "seed": "6786988318880723550", "semantic_fingerprint": "sha256:c87d80bff93e3d3f97e4f44296aafc1beb1ea7ede3adbd19bf00e07621ef0a56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001279", "prompt": "Evaluate: 6665 + (-8724) + 2049 / 81592", "solution_steps": ["Add: 6665 + (-8724) = -2059", "Divide: 2049 / 81592 = 2049/81592", "Add: -2059 + 2049/81592 = -167995879/81592"], "final_answer": "-167995879/81592", "answer_type": "rational", "kind": "expression", "math_text": "6665 + (-8724) + 2049 / 81592", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6665, \"b\": -8724, \"c\": 2049, \"d\": 81592}", "seed": "7296081778143038819", "semantic_fingerprint": "sha256:7db9dfbd8b71af09a3be50345f1cfc6ae8d1efc429898d9e25ee9aff56c6ad11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001280", "prompt": "Find x: 33x = 14(x + 25497)", "solution_steps": ["Expand: 33x = 14x + 356958", "Subtract 14x from both sides: 19x = 356958", "Divide both sides by 19: x = 356958/19"], "final_answer": "356958/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x = 14(x + 25497)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 14, \"c\": 25497}", "seed": "6791957809958992793", "semantic_fingerprint": "sha256:2d2e2ec2263c8738f5ac02f5d63bef16f40055cd95508fd4e4f0cffd51c6a6e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001281", "prompt": "Find x: -25x + 7304 = 36x - 3615", "solution_steps": ["Subtract 36x from both sides: -61x + 7304 = -3615", "Subtract 7304 from both sides: -61x = -10919", "Divide both sides by -61: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x + 7304 = 36x - 3615", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 7304, \"c\": 36, \"e\": -3615, \"x\": 179}", "seed": "16426353463924030341", "semantic_fingerprint": "sha256:f037db425977f2f6efc48d671c32daca7fc1f9f2df84b89f5d481f2e71badd20", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001282", "prompt": "Calculate: -6179 * (-1175)", "solution_steps": ["Multiply: -6179 * (-1175) = 7260325"], "final_answer": "7260325", "answer_type": "integer", "kind": "expression", "math_text": "-6179 * (-1175)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6179, \"b\": -1175}", "seed": "16326771377654463959", "semantic_fingerprint": "sha256:cbcc83fe318624a16595f92fbe580d48307a238fa10e50f1669f904ee7fe2600", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001283", "prompt": "Solve for x: 15x - 1501 = 20x", "solution_steps": ["Subtract 20x from both sides: -5x - 1501 = 0", "Add 1501 to both sides: -5x = 1501", "Divide both sides by -5: x = -1501/5"], "final_answer": "-1501/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x - 1501 = 20x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1501, \"c\": 20}", "seed": "6908560312574886559", "semantic_fingerprint": "sha256:dfb0c7bbed15305f4a4d776f447193faae5a42fd2f5a15a382ee400eb47b3fa7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001284", "prompt": "What is 6783 / 2066?", "solution_steps": ["Divide: 6783 / 2066 = 6783/2066"], "final_answer": "6783/2066", "answer_type": "rational", "kind": "expression", "math_text": "6783 / 2066", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6783, \"b\": 2066}", "seed": "4302912487346363854", "semantic_fingerprint": "sha256:a500e350fbb3fb32acc20e3586bdc8543b6930c56a8e5c6fb998c24f8fd5bcd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001285", "prompt": "Calculate: 65389 * (-39384) / (-7016 / (-1441))", "solution_steps": ["Multiply: 65389 * (-39384) = -2575280376", "Divide: -7016 / (-1441) = 7016/1441", "Divide: -2575280376 / (7016/1441) = -463872377727/877"], "final_answer": "-463872377727/877", "answer_type": "rational", "kind": "expression", "math_text": "65389 * (-39384) / (-7016 / (-1441))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 65389, \"b\": -39384, \"c\": -7016, \"d\": -1441}", "seed": "3326106249314698286", "semantic_fingerprint": "sha256:34d29ec2886f95548fa14b0dc9c9900f76f0cc9edd9e3867fbd9a2fb16464f53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001286", "prompt": "Evaluate: 9148 * (-51984) / (-6695)", "solution_steps": ["Multiply: 9148 * (-51984) = -475549632", "Divide: -475549632 / (-6695) = 475549632/6695"], "final_answer": "475549632/6695", "answer_type": "rational", "kind": "expression", "math_text": "9148 * (-51984) / (-6695)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9148, \"b\": -51984, \"c\": -6695}", "seed": "18080473724805871924", "semantic_fingerprint": "sha256:083330ace0d66902c3b3723ff1ceb6bcce220a77d7ce403fc2fb3490bcf6fe90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001287", "prompt": "Solve for x: -21(x - 2023) - 40917 = -2088", "solution_steps": ["Expand: -21x + 42483 - 40917 = -2088", "Combine constants: -21x + 1566 = -2088", "Subtract 1566 from both sides: -21x = -3654", "Divide both sides by -21: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x - 2023) - 40917 = -2088", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 2023, \"c\": 40917, \"e\": -2088, \"x\": 174}", "seed": "8637703405756187310", "semantic_fingerprint": "sha256:da7493e187a8aa3a083d546e790bc3f5c2265effe363f70203bb33d23038dbaa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001288", "prompt": "Solve for x: 31(x + 57304) = x + 9586", "solution_steps": ["Expand: 31x + 1776424 = x + 9586", "Subtract x from both sides: 30x + 1776424 = 9586", "Subtract 1776424 from both sides: 30x = -1766838", "Divide both sides by 30: x = -294473/5"], "final_answer": "-294473/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 57304) = x + 9586", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 57304, \"c\": 9586}", "seed": "5561862377735092689", "semantic_fingerprint": "sha256:f9c0b41c828ca61a12e5a320ea36e2950dbfd9c86867f1cbd9c5ed2ba6faf9b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001289", "prompt": "Evaluate: -50115 * (14631 - 1601)", "solution_steps": ["Subtract: 14631 - 1601 = 13030", "Multiply: -50115 * 13030 = -652998450"], "final_answer": "-652998450", "answer_type": "integer", "kind": "expression", "math_text": "-50115 * (14631 - 1601)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50115, \"b\": 14631, \"c\": 1601}", "seed": "1856764559539456350", "semantic_fingerprint": "sha256:669a51b5256a8be8efab664b9358a8c1a9684c3e50fbea66c7266371a57bfaaa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001290", "prompt": "Calculate: -96249 - (22691 + 3068) * (-94560 / (67340 + 5196))", "solution_steps": ["Add: 22691 + 3068 = 25759", "Add: 67340 + 5196 = 72536", "Divide: -94560 / 72536 = -11820/9067", "Multiply: 25759 * (-11820/9067) = -304471380/9067", "Subtract: -96249 - (-304471380/9067) = -568218303/9067"], "final_answer": "-568218303/9067", "answer_type": "rational", "kind": "expression", "math_text": "-96249 - (22691 + 3068) * (-94560 / (67340 + 5196))", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n n) (/ n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -96249, \"b\": 22691, \"c\": 3068, \"d\": -94560, \"e\": 67340, \"f\": 5196}", "seed": "572352777689123536", "semantic_fingerprint": "sha256:7576424eed58860132451f76dd24072bc5036bab26a96de166ddfbcc72c4ccfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001291", "prompt": "Evaluate: (-3369 - (-93136) * (-47578)) / (6531 - 29056 + (-81456))", "solution_steps": ["Multiply: -93136 * (-47578) = 4431224608", "Subtract: -3369 - 4431224608 = -4431227977", "Subtract: 6531 - 29056 = -22525", "Add: -22525 + (-81456) = -103981", "Divide: -4431227977 / (-103981) = 4431227977/103981"], "final_answer": "4431227977/103981", "answer_type": "rational", "kind": "expression", "math_text": "(-3369 - (-93136) * (-47578)) / (6531 - 29056 + (-81456))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3369, \"b\": -93136, \"c\": -47578, \"d\": 6531, \"e\": 29056, \"f\": -81456}", "seed": "2557219532038318440", "semantic_fingerprint": "sha256:bcf2c45c8c77ba40d0065c2ec2e2bc632f543011300d641e66e404e79a0a2db8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001292", "prompt": "What value of x satisfies 36(x + 4461) = x?", "solution_steps": ["Expand: 36x + 160596 = x", "Subtract x from both sides: 35x + 160596 = 0", "Subtract 160596 from both sides: 35x = -160596", "Divide both sides by 35: x = -160596/35"], "final_answer": "-160596/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 4461) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4461}", "seed": "17045749649883544987", "semantic_fingerprint": "sha256:36834302cd2c540792938c061b4c8b28ccfbda9800af46b19f98420984640471", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001293", "prompt": "What is 49573 + (-27623 - (-44069) * (2094 - 75543))?", "solution_steps": ["Subtract: 2094 - 75543 = -73449", "Multiply: -44069 * (-73449) = 3236823981", "Subtract: -27623 - 3236823981 = -3236851604", "Add: 49573 + (-3236851604) = -3236802031"], "final_answer": "-3236802031", "answer_type": "integer", "kind": "expression", "math_text": "49573 + (-27623 - (-44069) * (2094 - 75543))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 49573, \"b\": -27623, \"c\": -44069, \"d\": 2094, \"e\": 75543}", "seed": "15781202935104792424", "semantic_fingerprint": "sha256:a9ddd501b0f4daa368569142f16a3c34a2e26c3948ddd0fb62231067de4fee35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001294", "prompt": "Compute: (2920 - 7707) / (-2106 - (-5643))", "solution_steps": ["Subtract: 2920 - 7707 = -4787", "Subtract: -2106 - (-5643) = 3537", "Divide: -4787 / 3537 = -4787/3537"], "final_answer": "-4787/3537", "answer_type": "rational", "kind": "expression", "math_text": "(2920 - 7707) / (-2106 - (-5643))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2920, \"b\": 7707, \"c\": -2106, \"d\": -5643}", "seed": "886849820585552937", "semantic_fingerprint": "sha256:bf8dc489395723b2bad7b088dbb23525dbec9087eb4f3c8e6ebd4ca21bd99c16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001295", "prompt": "Solve the equation 20x + 3762 = 28x + 7333 for x.", "solution_steps": ["Subtract 28x from both sides: -8x + 3762 = 7333", "Subtract 3762 from both sides: -8x = 3571", "Divide both sides by -8: x = -3571/8"], "final_answer": "-3571/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 3762 = 28x + 7333", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3762, \"c\": 28, \"d\": 7333}", "seed": "14381633731356975136", "semantic_fingerprint": "sha256:247ab8d23c61eff120e89b73dadcad18ea47a1c2e4c372cbb32dff384e33296f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001296", "prompt": "Solve the equation -14x + 6590 = 39x + 5164 for x.", "solution_steps": ["Subtract 39x from both sides: -53x + 6590 = 5164", "Subtract 6590 from both sides: -53x = -1426", "Divide both sides by -53: x = 1426/53"], "final_answer": "1426/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x + 6590 = 39x + 5164", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 6590, \"c\": 39, \"d\": 5164}", "seed": "2130771859413473328", "semantic_fingerprint": "sha256:1e2a91bf398aafa50d515e7db2d750f47f10ad7026ea7fd7bb2ed87cbdf58879", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001297", "prompt": "Solve for x: 36x + 39163 = -29x + 40658", "solution_steps": ["Add 29x to both sides: 65x + 39163 = 40658", "Subtract 39163 from both sides: 65x = 1495", "Divide both sides by 65: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 39163 = -29x + 40658", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 39163, \"c\": -29, \"e\": 40658, \"x\": 23}", "seed": "3144985911636953536", "semantic_fingerprint": "sha256:1cd44ab7fae29e91e43aa971bd1b11c6c556ea23143f4d046dc8ffc771a508b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001298", "prompt": "Solve for x: 39(x - 6818) = -15x", "solution_steps": ["Expand: 39x - 265902 = -15x", "Add 15x to both sides: 54x - 265902 = 0", "Add 265902 to both sides: 54x = 265902", "Divide both sides by 54: x = 44317/9"], "final_answer": "44317/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 6818) = -15x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 6818, \"c\": -15}", "seed": "5926389195776801577", "semantic_fingerprint": "sha256:63385c3c9c13ad176145ff0c6083800e196467103e22c5667c0b0ed8bc269908", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001299", "prompt": "Compute: (-45943 + 4545) * 61567 + (-37086) + 79407", "solution_steps": ["Add: -45943 + 4545 = -41398", "Multiply: -41398 * 61567 = -2548750666", "Add: -2548750666 + (-37086) = -2548787752", "Add: -2548787752 + 79407 = -2548708345"], "final_answer": "-2548708345", "answer_type": "integer", "kind": "expression", "math_text": "(-45943 + 4545) * 61567 + (-37086) + 79407", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -45943, \"b\": 4545, \"c\": 61567, \"d\": -37086, \"e\": 79407}", "seed": "5332849320535314203", "semantic_fingerprint": "sha256:37b86642f1c3f365177bc3c3c86c35debee55d65411eb0a8cf1324882ab2a8e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001300", "prompt": "Solve the equation x + 4914 = 28x for x.", "solution_steps": ["Subtract 28x from both sides: -27x + 4914 = 0", "Subtract 4914 from both sides: -27x = -4914", "Divide both sides by -27: x = 182"], "final_answer": "182", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4914 = 28x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 4914, \"x\": 182}", "seed": "7268816893020680623", "semantic_fingerprint": "sha256:f88e16f203b670cd3696a0cc9657291449a680b10b58509ebe0700b67dd0c1d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001301", "prompt": "Solve for x: -32x - 2821 = -1413", "solution_steps": ["Add 2821 to both sides: -32x = 1408", "Divide both sides by -32: x = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x - 2821 = -1413", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 2821, \"d\": -1413, \"x\": -44}", "seed": "7440358308075780594", "semantic_fingerprint": "sha256:5623fe303952162a25c7d03d01d8d4645e6c1982d89991271f9b199e4508b284", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001302", "prompt": "Compute: (1484 + (-8523)) * (-71623) / (-21635 - (-3515))", "solution_steps": ["Add: 1484 + (-8523) = -7039", "Multiply: -7039 * (-71623) = 504154297", "Subtract: -21635 - (-3515) = -18120", "Divide: 504154297 / (-18120) = -504154297/18120"], "final_answer": "-504154297/18120", "answer_type": "rational", "kind": "expression", "math_text": "(1484 + (-8523)) * (-71623) / (-21635 - (-3515))", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1484, \"b\": -8523, \"c\": -71623, \"d\": -21635, \"e\": -3515}", "seed": "16807466500506933673", "semantic_fingerprint": "sha256:f490f8086a5accb4b072c2aa5375103f7c0874d29cc8a1a8863f8c9b1449c769", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001303", "prompt": "Compute: -24379 - (-6065)", "solution_steps": ["Subtract: -24379 - (-6065) = -18314"], "final_answer": "-18314", "answer_type": "integer", "kind": "expression", "math_text": "-24379 - (-6065)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -24379, \"b\": -6065}", "seed": "15922477291632629580", "semantic_fingerprint": "sha256:a826b160b639ab55abfe8e0946b1464a74c78e46d600f5e7791a6267f14bd149", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001304", "prompt": "What is 3407 / (4262 / (-5747)) + (-6468) + (-99399 - 50582)?", "solution_steps": ["Divide: 4262 / (-5747) = -4262/5747", "Divide: 3407 / (-4262/5747) = -19580029/4262", "Add: -19580029/4262 + (-6468) = -47146645/4262", "Subtract: -99399 - 50582 = -149981", "Add: -47146645/4262 + (-149981) = -686365667/4262"], "final_answer": "-686365667/4262", "answer_type": "rational", "kind": "expression", "math_text": "3407 / (4262 / (-5747)) + (-6468) + (-99399 - 50582)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3407, \"b\": 4262, \"c\": -5747, \"d\": -6468, \"e\": -99399, \"f\": 50582}", "seed": "3151204724930159865", "semantic_fingerprint": "sha256:a41a40de7c8947b1d752c4cf396c1e46853d52e9f2a899705a9902a8d5892436", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001305", "prompt": "Calculate: 2354 / (54965 + (-32457))", "solution_steps": ["Add: 54965 + (-32457) = 22508", "Divide: 2354 / 22508 = 1177/11254"], "final_answer": "1177/11254", "answer_type": "rational", "kind": "expression", "math_text": "2354 / (54965 + (-32457))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2354, \"b\": 54965, \"c\": -32457}", "seed": "10503797795913892487", "semantic_fingerprint": "sha256:7dcdced6620226d0ddfc0fbf63ad4c5fc20e16418632a43aa2df654486887d92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001306", "prompt": "Evaluate: (-66281 + (-6104) - (5209 + 9204)) / (-2788 / 8601)", "solution_steps": ["Add: -66281 + (-6104) = -72385", "Add: 5209 + 9204 = 14413", "Subtract: -72385 - 14413 = -86798", "Divide: -2788 / 8601 = -2788/8601", "Divide: -86798 / (-2788/8601) = 373274799/1394"], "final_answer": "373274799/1394", "answer_type": "rational", "kind": "expression", "math_text": "(-66281 + (-6104) - (5209 + 9204)) / (-2788 / 8601)", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -66281, \"b\": -6104, \"c\": 5209, \"d\": 9204, \"e\": -2788, \"f\": 8601}", "seed": "16064211478697627503", "semantic_fingerprint": "sha256:c23d3b0810ed86364163166f83f3abebdfea4aa6b7b9f75f9bca875547f8b213", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001307", "prompt": "Find x: -15(x - 16099) = 23(x - 96499) - 95506", "solution_steps": ["Expand: -15x + 241485 = 23(x - 96499) - 95506", "Expand: -15x + 241485 = 23x - 2219477 - 95506", "Combine constants: -15x + 241485 = 23x - 2314983", "Subtract 23x from both sides: -38x + 241485 = -2314983", "Subtract 241485 from both sides: -38x = -2556468", "Divide both sides by -38: x = 1278234/19"], "final_answer": "1278234/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 16099) = 23(x - 96499) - 95506", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 16099, \"c\": 23, \"d\": 96499, \"e\": 95506}", "seed": "17665775637448613105", "semantic_fingerprint": "sha256:e86c196282ee9a2cc2e9ce185e2c9e77add12ff1714a5a5bfc6457ec5b058524", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001308", "prompt": "Solve for x: x - 86692 = 37x - 89680", "solution_steps": ["Subtract 37x from both sides: -36x - 86692 = -89680", "Add 86692 to both sides: -36x = -2988", "Divide both sides by -36: x = 83"], "final_answer": "83", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86692 = 37x - 89680", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86692, \"b\": 37, \"d\": -89680, \"x\": 83}", "seed": "8169185163575884952", "semantic_fingerprint": "sha256:d8ddadd3d0b53610f8780020f644fe2a2c80a51816e6a82a521c16f8f962d15e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001309", "prompt": "What value of x satisfies 16x = x + 56137?", "solution_steps": ["Subtract x from both sides: 15x = 56137", "Divide both sides by 15: x = 56137/15"], "final_answer": "56137/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = x + 56137", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 56137}", "seed": "2264867907204317848", "semantic_fingerprint": "sha256:c9f9f0fd276bc8f54556dc184ac3b88e7333ad6bc3d8ddfc58d52ba780fcbc94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001310", "prompt": "What value of x satisfies -40(x + 6449) + 68846 = x - 5979?", "solution_steps": ["Expand: -40x - 257960 + 68846 = x - 5979", "Combine constants: -40x - 189114 = x - 5979", "Subtract x from both sides: -41x - 189114 = -5979", "Add 189114 to both sides: -41x = 183135", "Divide both sides by -41: x = -183135/41"], "final_answer": "-183135/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 6449) + 68846 = x - 5979", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 6449, \"c\": 68846, \"d\": 5979}", "seed": "2249860174934502066", "semantic_fingerprint": "sha256:6777b0ef15229787676cf03ee1c288ad50282962f915439563cb0f1625639b4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001311", "prompt": "Compute: -8403 - (-20604) * (-18248)", "solution_steps": ["Multiply: -20604 * (-18248) = 375981792", "Subtract: -8403 - 375981792 = -375990195"], "final_answer": "-375990195", "answer_type": "integer", "kind": "expression", "math_text": "-8403 - (-20604) * (-18248)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8403, \"b\": -20604, \"c\": -18248}", "seed": "6143088872526979828", "semantic_fingerprint": "sha256:2206df2afb7d9406b36f09909562f23f6f4606d992d8cac95c5c60cbb64445fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001312", "prompt": "Find x: 32x + 6321 = 34x + 6073", "solution_steps": ["Subtract 34x from both sides: -2x + 6321 = 6073", "Subtract 6321 from both sides: -2x = -248", "Divide both sides by -2: x = 124"], "final_answer": "124", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 6321 = 34x + 6073", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6321, \"c\": 34, \"e\": 6073, \"x\": 124}", "seed": "16574162730576906758", "semantic_fingerprint": "sha256:fe3fb1aa73b42ca776fe03ad461d43ab34ee603b86f30614b113f618945086e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001313", "prompt": "Find x: 14(x + 41585) = 30(x + 8324)", "solution_steps": ["Expand: 14x + 582190 = 30(x + 8324)", "Expand: 14x + 582190 = 30x + 249720", "Subtract 30x from both sides: -16x + 582190 = 249720", "Subtract 582190 from both sides: -16x = -332470", "Divide both sides by -16: x = 166235/8"], "final_answer": "166235/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 41585) = 30(x + 8324)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 41585, \"c\": 30, \"d\": 8324}", "seed": "11599874947846942682", "semantic_fingerprint": "sha256:f64be629606ceea173fbf79c168722ec313cd265a9c024b11afde244a945a24f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001314", "prompt": "Calculate: -3091 * ((63137 - 69168) * (-75139) / 4699)", "solution_steps": ["Subtract: 63137 - 69168 = -6031", "Multiply: -6031 * (-75139) = 453163309", "Divide: 453163309 / 4699 = 12247657/127", "Multiply: -3091 * (12247657/127) = -37857507787/127"], "final_answer": "-37857507787/127", "answer_type": "rational", "kind": "expression", "math_text": "-3091 * ((63137 - 69168) * (-75139) / 4699)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3091, \"b\": 63137, \"c\": 69168, \"d\": -75139, \"e\": 4699}", "seed": "11519067133481104497", "semantic_fingerprint": "sha256:967b4febb03b10e8a89d2a6ccef8bb2de2909b517a216975568bdc8cb2f647e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001315", "prompt": "Evaluate: -3873 - 51757 + (-62935) + 3464", "solution_steps": ["Subtract: -3873 - 51757 = -55630", "Add: -55630 + (-62935) = -118565", "Add: -118565 + 3464 = -115101"], "final_answer": "-115101", "answer_type": "integer", "kind": "expression", "math_text": "-3873 - 51757 + (-62935) + 3464", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3873, \"b\": 51757, \"c\": -62935, \"d\": 3464}", "seed": "2224885528501744270", "semantic_fingerprint": "sha256:ab8664e9c131c8a0360f48870319a8a453c1916a513d00eae7b3a22269b35646", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001316", "prompt": "Evaluate: 79389 - (-5496)", "solution_steps": ["Subtract: 79389 - (-5496) = 84885"], "final_answer": "84885", "answer_type": "integer", "kind": "expression", "math_text": "79389 - (-5496)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 79389, \"b\": -5496}", "seed": "15989757388962772795", "semantic_fingerprint": "sha256:5d298042ca7bdefbefa857fdf69c6e0a61cc2a09b4ed49865c082858ec0f6507", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001317", "prompt": "Calculate: 32766 - 8526 * (-6756)", "solution_steps": ["Multiply: 8526 * (-6756) = -57601656", "Subtract: 32766 - (-57601656) = 57634422"], "final_answer": "57634422", "answer_type": "integer", "kind": "expression", "math_text": "32766 - 8526 * (-6756)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32766, \"b\": 8526, \"c\": -6756}", "seed": "13211477143890876875", "semantic_fingerprint": "sha256:35d047eb96246136846984085f9afed7d6964f35a421b842fff94f3e35f09415", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001318", "prompt": "What is 34150 + (8383 + 9098) - 2195 * (-3665)?", "solution_steps": ["Add: 8383 + 9098 = 17481", "Add: 34150 + 17481 = 51631", "Multiply: 2195 * (-3665) = -8044675", "Subtract: 51631 - (-8044675) = 8096306"], "final_answer": "8096306", "answer_type": "integer", "kind": "expression", "math_text": "34150 + (8383 + 9098) - 2195 * (-3665)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34150, \"b\": 8383, \"c\": 9098, \"d\": 2195, \"e\": -3665}", "seed": "7410924599955078415", "semantic_fingerprint": "sha256:908c7fe1cee761374f96b7da9e297646d55cf6660ef5c5eb33c29bfa6ffe1464", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001319", "prompt": "Evaluate: -2874 / (-3194)", "solution_steps": ["Divide: -2874 / (-3194) = 1437/1597"], "final_answer": "1437/1597", "answer_type": "rational", "kind": "expression", "math_text": "-2874 / (-3194)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2874, \"b\": -3194}", "seed": "8460432503210936328", "semantic_fingerprint": "sha256:035e225ab66ecc54816afe5cc55b87793a92113ed4ab2b7d595f106a21cf78b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001320", "prompt": "Evaluate: -2789 - 2271", "solution_steps": ["Subtract: -2789 - 2271 = -5060"], "final_answer": "-5060", "answer_type": "integer", "kind": "expression", "math_text": "-2789 - 2271", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2789, \"b\": 2271}", "seed": "15025842783555161738", "semantic_fingerprint": "sha256:9cd8815328aea50228f556a3295b791016b50d68af4afe51528fabcd84d81b6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001321", "prompt": "Solve the equation 15x - 48856 = 37(x - 2705) + 55123 for x.", "solution_steps": ["Expand: 15x - 48856 = 37x - 100085 + 55123", "Combine constants: 15x - 48856 = 37x - 44962", "Subtract 37x from both sides: -22x - 48856 = -44962", "Add 48856 to both sides: -22x = 3894", "Divide both sides by -22: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 48856 = 37(x - 2705) + 55123", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 48856, \"c\": 37, \"d\": 2705, \"f\": 55123, \"x\": -177}", "seed": "9379303393519572285", "semantic_fingerprint": "sha256:a520ff2ad94ade3b9bcf76b6c9961b80cf7233b6e6ed7254f461e0ca0d15d659", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001322", "prompt": "Evaluate: -2267 / 2739 + (-2221 + (-9633))", "solution_steps": ["Divide: -2267 / 2739 = -2267/2739", "Add: -2221 + (-9633) = -11854", "Add: -2267/2739 + (-11854) = -32470373/2739"], "final_answer": "-32470373/2739", "answer_type": "rational", "kind": "expression", "math_text": "-2267 / 2739 + (-2221 + (-9633))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2267, \"b\": 2739, \"c\": -2221, \"d\": -9633}", "seed": "15343592370837186020", "semantic_fingerprint": "sha256:774bc54a0b022973c090b19aa1db08fd2122eee259b390dc0772a04ab7758039", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001323", "prompt": "What is -3920 / (-29563 - 6299) * (6216 + 4935 + 36717)?", "solution_steps": ["Subtract: -29563 - 6299 = -35862", "Divide: -3920 / (-35862) = 1960/17931", "Add: 6216 + 4935 = 11151", "Add: 11151 + 36717 = 47868", "Multiply: (1960/17931) * 47868 = 31273760/5977"], "final_answer": "31273760/5977", "answer_type": "rational", "kind": "expression", "math_text": "-3920 / (-29563 - 6299) * (6216 + 4935 + 36717)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3920, \"b\": -29563, \"c\": 6299, \"d\": 6216, \"e\": 4935, \"f\": 36717}", "seed": "952778873746897342", "semantic_fingerprint": "sha256:125d2caef6d7888b57842853a3b8410def07ce45169275143cbef12d0a716c44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001324", "prompt": "Calculate: 9024 - 45332 - (-2308)", "solution_steps": ["Subtract: 9024 - 45332 = -36308", "Subtract: -36308 - (-2308) = -34000"], "final_answer": "-34000", "answer_type": "integer", "kind": "expression", "math_text": "9024 - 45332 - (-2308)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9024, \"b\": 45332, \"c\": -2308}", "seed": "8503686284134646308", "semantic_fingerprint": "sha256:64b0a317efc78904b400edf3620d137c2e0d12fa559ee1b659fe883494ef50de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001325", "prompt": "Solve the equation 14x - 5850 = -31(x - 8596) + 5134 for x.", "solution_steps": ["Expand: 14x - 5850 = -31x + 266476 + 5134", "Combine constants: 14x - 5850 = -31x + 271610", "Add 31x to both sides: 45x - 5850 = 271610", "Add 5850 to both sides: 45x = 277460", "Divide both sides by 45: x = 55492/9"], "final_answer": "55492/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x - 5850 = -31(x - 8596) + 5134", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5850, \"c\": -31, \"d\": 8596, \"e\": 5134}", "seed": "2006973239754540240", "semantic_fingerprint": "sha256:9bc2745db698e223338b06b6cb7cb84d993d348482d5a302a3973bce377d66be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001326", "prompt": "What is 8374 + (-1510 - 43355 / 7686)?", "solution_steps": ["Divide: 43355 / 7686 = 43355/7686", "Subtract: -1510 - 43355/7686 = -11649215/7686", "Add: 8374 + (-11649215/7686) = 52713349/7686"], "final_answer": "52713349/7686", "answer_type": "rational", "kind": "expression", "math_text": "8374 + (-1510 - 43355 / 7686)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8374, \"b\": -1510, \"c\": 43355, \"d\": 7686}", "seed": "15776201205554934795", "semantic_fingerprint": "sha256:09201dcccbf89066179763b968a80d00eb8ea8145ff3679608293587f4ea649b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001327", "prompt": "What is -4924 - (7320 + (-2555)) * 2080?", "solution_steps": ["Add: 7320 + (-2555) = 4765", "Multiply: 4765 * 2080 = 9911200", "Subtract: -4924 - 9911200 = -9916124"], "final_answer": "-9916124", "answer_type": "integer", "kind": "expression", "math_text": "-4924 - (7320 + (-2555)) * 2080", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4924, \"b\": 7320, \"c\": -2555, \"d\": 2080}", "seed": "3622592390947274272", "semantic_fingerprint": "sha256:70e84bbbaa300a13da360c6f94a9a92bfd814318e549dd39cd9060375e643253", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001328", "prompt": "What is 70000 / 74382 + (-2333 + 32266)?", "solution_steps": ["Divide: 70000 / 74382 = 5000/5313", "Add: -2333 + 32266 = 29933", "Add: 5000/5313 + 29933 = 159039029/5313"], "final_answer": "159039029/5313", "answer_type": "rational", "kind": "expression", "math_text": "70000 / 74382 + (-2333 + 32266)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70000, \"b\": 74382, \"c\": -2333, \"d\": 32266}", "seed": "17059934251154855670", "semantic_fingerprint": "sha256:8a0110826b6ceb4f26fb2748cc27d8f1afaffd48b66e2fe69ac7396aa8a3f042", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001329", "prompt": "Evaluate: -43833 - (-1661 - 7046 + (-4221))", "solution_steps": ["Subtract: -1661 - 7046 = -8707", "Add: -8707 + (-4221) = -12928", "Subtract: -43833 - (-12928) = -30905"], "final_answer": "-30905", "answer_type": "integer", "kind": "expression", "math_text": "-43833 - (-1661 - 7046 + (-4221))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -43833, \"b\": -1661, \"c\": 7046, \"d\": -4221}", "seed": "11617172404193789445", "semantic_fingerprint": "sha256:cf2b052f76f5e6aafa6147388e4bbb76ddc493987b84e5f808cb40cbd97bb1fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001330", "prompt": "What is -8613 * (-27469 / (9808 + 8164))?", "solution_steps": ["Add: 9808 + 8164 = 17972", "Divide: -27469 / 17972 = -27469/17972", "Multiply: -8613 * (-27469/17972) = 236590497/17972"], "final_answer": "236590497/17972", "answer_type": "rational", "kind": "expression", "math_text": "-8613 * (-27469 / (9808 + 8164))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8613, \"b\": -27469, \"c\": 9808, \"d\": 8164}", "seed": "6807067884064273537", "semantic_fingerprint": "sha256:bfb0d8acbf1821061e079a0fd7b2a21a01285aa16cd4a48db6c6416ee542c56d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001331", "prompt": "Solve for x: 38x = -3572", "solution_steps": ["Divide both sides by 38: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = -3572", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": -3572, \"x\": -94}", "seed": "10217218435999489654", "semantic_fingerprint": "sha256:e53a016d3c2f5a771d9be66e117396474b5a24c598bd47db9cb0cd9bc7836d8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001332", "prompt": "Evaluate: (1188 + 2105 + 8351) / (4660 + (-2010))", "solution_steps": ["Add: 1188 + 2105 = 3293", "Add: 3293 + 8351 = 11644", "Add: 4660 + (-2010) = 2650", "Divide: 11644 / 2650 = 5822/1325"], "final_answer": "5822/1325", "answer_type": "rational", "kind": "expression", "math_text": "(1188 + 2105 + 8351) / (4660 + (-2010))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1188, \"b\": 2105, \"c\": 8351, \"d\": 4660, \"e\": -2010}", "seed": "5177021328250584324", "semantic_fingerprint": "sha256:486172d244f613894d76df761f31fe76498123460c7e2b730de1546c753fd40b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001333", "prompt": "Compute: -7487 - 3932 - (-40659)", "solution_steps": ["Subtract: -7487 - 3932 = -11419", "Subtract: -11419 - (-40659) = 29240"], "final_answer": "29240", "answer_type": "integer", "kind": "expression", "math_text": "-7487 - 3932 - (-40659)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7487, \"b\": 3932, \"c\": -40659}", "seed": "3014713045177412826", "semantic_fingerprint": "sha256:5cac7c25dddfff4c6980c889bf3cfd2814760e7790a1e64e0148f844bb20f65b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001334", "prompt": "What is -2885 + 89602?", "solution_steps": ["Add: -2885 + 89602 = 86717"], "final_answer": "86717", "answer_type": "integer", "kind": "expression", "math_text": "-2885 + 89602", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2885, \"b\": 89602}", "seed": "2673430665952068597", "semantic_fingerprint": "sha256:f8a86256fb265a2f9c5a8eb83e9485807de9a5ea4ad6eff7d6098aba743d31c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001335", "prompt": "Evaluate: -2971 * (-13787)", "solution_steps": ["Multiply: -2971 * (-13787) = 40961177"], "final_answer": "40961177", "answer_type": "integer", "kind": "expression", "math_text": "-2971 * (-13787)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2971, \"b\": -13787}", "seed": "7828026346824025314", "semantic_fingerprint": "sha256:84cab054cde161a488a16d6e44f12eae9ce7a27453fc7297017305b57b21f160", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001336", "prompt": "Compute: 5044 * (-8668)", "solution_steps": ["Multiply: 5044 * (-8668) = -43721392"], "final_answer": "-43721392", "answer_type": "integer", "kind": "expression", "math_text": "5044 * (-8668)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5044, \"b\": -8668}", "seed": "2606483622117713393", "semantic_fingerprint": "sha256:135cace02a028f4359d5fcf730997596e9e250c1a47bb437f5e75acd5b4c6651", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001337", "prompt": "Calculate: (36886 - 90656) * (-9587)", "solution_steps": ["Subtract: 36886 - 90656 = -53770", "Multiply: -53770 * (-9587) = 515492990"], "final_answer": "515492990", "answer_type": "integer", "kind": "expression", "math_text": "(36886 - 90656) * (-9587)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36886, \"b\": 90656, \"c\": -9587}", "seed": "2713795928816326130", "semantic_fingerprint": "sha256:e8a236a3c331f1ba37e58886bd5cfca3a913e7a239509679802ddbaa679c9141", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001338", "prompt": "Solve the equation -19(x - 1284) = 25x + 15596 for x.", "solution_steps": ["Expand: -19x + 24396 = 25x + 15596", "Subtract 25x from both sides: -44x + 24396 = 15596", "Subtract 24396 from both sides: -44x = -8800", "Divide both sides by -44: x = 200"], "final_answer": "200", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 1284) = 25x + 15596", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1284, \"c\": 25, \"e\": 15596, \"x\": 200}", "seed": "16298323626942077386", "semantic_fingerprint": "sha256:b9614f10085cdcf614e51a4c844d592ea268b5e7fa491ada60ce78c079d8d9ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001339", "prompt": "What is (8823 + 6011 * (-1391) - (-72073)) / 95504?", "solution_steps": ["Multiply: 6011 * (-1391) = -8361301", "Add: 8823 + (-8361301) = -8352478", "Subtract: -8352478 - (-72073) = -8280405", "Divide: -8280405 / 95504 = -8280405/95504"], "final_answer": "-8280405/95504", "answer_type": "rational", "kind": "expression", "math_text": "(8823 + 6011 * (-1391) - (-72073)) / 95504", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8823, \"b\": 6011, \"c\": -1391, \"d\": -72073, \"e\": 95504}", "seed": "171006261927393859", "semantic_fingerprint": "sha256:dc0d4784248e1eb7ff682960b1725063bf6e74dea3af9226061efe825075820b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001340", "prompt": "Compute: 89035 * (-1450)", "solution_steps": ["Multiply: 89035 * (-1450) = -129100750"], "final_answer": "-129100750", "answer_type": "integer", "kind": "expression", "math_text": "89035 * (-1450)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 89035, \"b\": -1450}", "seed": "9769181788521385175", "semantic_fingerprint": "sha256:0814594f07605d1cb8f34d34d8d1de80fde3ba6a1507ed34af7adcba3410dc3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001341", "prompt": "Evaluate: 3801 + (92707 + (-77691))", "solution_steps": ["Add: 92707 + (-77691) = 15016", "Add: 3801 + 15016 = 18817"], "final_answer": "18817", "answer_type": "integer", "kind": "expression", "math_text": "3801 + (92707 + (-77691))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3801, \"b\": 92707, \"c\": -77691}", "seed": "6345770691783904942", "semantic_fingerprint": "sha256:dd9bcfc950b8f615cee88de84b871adcd953af3e42fc3a0a3c3097f5275c19c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001342", "prompt": "Find x: 28x = 21(x - 6502)", "solution_steps": ["Expand: 28x = 21x - 136542", "Subtract 21x from both sides: 7x = -136542", "Divide both sides by 7: x = -19506"], "final_answer": "-19506", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = 21(x - 6502)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 21, \"c\": 6502}", "seed": "13259440804398976678", "semantic_fingerprint": "sha256:9a4f9b6a962b37fc0f4bae0fc724646d91d0fda88665cda122128bc7c34d0b85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001343", "prompt": "What is -4365 * (-9585 - (-8711 - 66695)) - (66238 - 8333)?", "solution_steps": ["Subtract: -8711 - 66695 = -75406", "Subtract: -9585 - (-75406) = 65821", "Multiply: -4365 * 65821 = -287308665", "Subtract: 66238 - 8333 = 57905", "Subtract: -287308665 - 57905 = -287366570"], "final_answer": "-287366570", "answer_type": "integer", "kind": "expression", "math_text": "-4365 * (-9585 - (-8711 - 66695)) - (66238 - 8333)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4365, \"b\": -9585, \"c\": -8711, \"d\": 66695, \"e\": 66238, \"f\": 8333}", "seed": "14878195307792721287", "semantic_fingerprint": "sha256:b47f3f6cdb1a2c62a7b827e646001851b222a48d11393312a8e2530b15f401e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001344", "prompt": "What is 13555 + 7833?", "solution_steps": ["Add: 13555 + 7833 = 21388"], "final_answer": "21388", "answer_type": "integer", "kind": "expression", "math_text": "13555 + 7833", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 13555, \"b\": 7833}", "seed": "4896054186869609644", "semantic_fingerprint": "sha256:9dd011bf5cb3dee2d1fe800f73753ded59bff07e3f77ccd563585c9d6f18c5ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001345", "prompt": "Compute: -76686 * (-57677) / 9345", "solution_steps": ["Multiply: -76686 * (-57677) = 4423018422", "Divide: 4423018422 / 9345 = 1474339474/3115"], "final_answer": "1474339474/3115", "answer_type": "rational", "kind": "expression", "math_text": "-76686 * (-57677) / 9345", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76686, \"b\": -57677, \"c\": 9345}", "seed": "7807939274880280308", "semantic_fingerprint": "sha256:4019f224a21fc875a52ee68355e5bc9c8a18048853ce41ba60dc0d4b41aa369e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001346", "prompt": "Solve for x: x + 1949 = 25x", "solution_steps": ["Subtract 25x from both sides: -24x + 1949 = 0", "Subtract 1949 from both sides: -24x = -1949", "Divide both sides by -24: x = 1949/24"], "final_answer": "1949/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1949 = 25x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1949, \"b\": 25}", "seed": "12939613789510723326", "semantic_fingerprint": "sha256:5b4fbb8537e26bc1a66e650008040b4bd75562e70b87ef0ad11855d9188edade", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001347", "prompt": "What is 66909 - 2351 / 4813?", "solution_steps": ["Divide: 2351 / 4813 = 2351/4813", "Subtract: 66909 - 2351/4813 = 322030666/4813"], "final_answer": "322030666/4813", "answer_type": "rational", "kind": "expression", "math_text": "66909 - 2351 / 4813", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66909, \"b\": 2351, \"c\": 4813}", "seed": "14193737106858614080", "semantic_fingerprint": "sha256:04ed0bf3813d51a3dd42e61280cef729f8d3c51b85ad6e493035a920f844b453", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001348", "prompt": "Compute: 3010 / (-7487 + (-32907))", "solution_steps": ["Add: -7487 + (-32907) = -40394", "Divide: 3010 / (-40394) = -1505/20197"], "final_answer": "-1505/20197", "answer_type": "rational", "kind": "expression", "math_text": "3010 / (-7487 + (-32907))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3010, \"b\": -7487, \"c\": -32907}", "seed": "10983524581017030848", "semantic_fingerprint": "sha256:5f7d07f84be2bdd773a272c54d9bd3ca517a97dfaf76d5fda548172acd00019e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001349", "prompt": "Calculate: (-36646 - (6547 + 4656)) * (7424 / 50637)", "solution_steps": ["Add: 6547 + 4656 = 11203", "Subtract: -36646 - 11203 = -47849", "Divide: 7424 / 50637 = 7424/50637", "Multiply: -47849 * (7424/50637) = -355230976/50637"], "final_answer": "-355230976/50637", "answer_type": "rational", "kind": "expression", "math_text": "(-36646 - (6547 + 4656)) * (7424 / 50637)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36646, \"b\": 6547, \"c\": 4656, \"d\": 7424, \"e\": 50637}", "seed": "10364213467079312303", "semantic_fingerprint": "sha256:a042c5c998a9f7266ee592df4f62f4cb08aa6225af5d1e1b2562cef7076e0b3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001350", "prompt": "What is -25807 - 80620?", "solution_steps": ["Subtract: -25807 - 80620 = -106427"], "final_answer": "-106427", "answer_type": "integer", "kind": "expression", "math_text": "-25807 - 80620", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -25807, \"b\": 80620}", "seed": "9860470476660987143", "semantic_fingerprint": "sha256:703fad02f30d8f8d6d343c75820bd02c5877a624aa232c293404ce2a408f9363", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001351", "prompt": "Compute: -85611 - (3515 - (-2013) + (-86193)) + (-4725)", "solution_steps": ["Subtract: 3515 - (-2013) = 5528", "Add: 5528 + (-86193) = -80665", "Subtract: -85611 - (-80665) = -4946", "Add: -4946 + (-4725) = -9671"], "final_answer": "-9671", "answer_type": "integer", "kind": "expression", "math_text": "-85611 - (3515 - (-2013) + (-86193)) + (-4725)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85611, \"b\": 3515, \"c\": -2013, \"d\": -86193, \"e\": -4725}", "seed": "11383647009488239940", "semantic_fingerprint": "sha256:6d71dd01514d86369ca361de63c21a0c63ae6eb4651e5ee70c561730c0b976da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001352", "prompt": "Solve for x: 25(x + 8533) + 1415 = -17x", "solution_steps": ["Expand: 25x + 213325 + 1415 = -17x", "Combine constants: 25x + 214740 = -17x", "Add 17x to both sides: 42x + 214740 = 0", "Subtract 214740 from both sides: 42x = -214740", "Divide both sides by 42: x = -35790/7"], "final_answer": "-35790/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 8533) + 1415 = -17x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 8533, \"c\": 1415, \"d\": -17}", "seed": "15800075756759654872", "semantic_fingerprint": "sha256:58061f945bc3388b0a1d6dc9992e37214da8ea2dfa50c2905bc188f54cb7dbe8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001353", "prompt": "What value of x satisfies x = 16(x - 32034)?", "solution_steps": ["Expand: x = 16x - 512544", "Subtract 16x from both sides: -15x = -512544", "Divide both sides by -15: x = 170848/5"], "final_answer": "170848/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 16(x - 32034)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 32034}", "seed": "9565524511175763848", "semantic_fingerprint": "sha256:538cbdca371eed0b39fffc2bde822e9e0681ab81d9231d1aeddfdefbfbf71b7f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001354", "prompt": "What is -4673 * 7143?", "solution_steps": ["Multiply: -4673 * 7143 = -33379239"], "final_answer": "-33379239", "answer_type": "integer", "kind": "expression", "math_text": "-4673 * 7143", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4673, \"b\": 7143}", "seed": "9106730713408899540", "semantic_fingerprint": "sha256:f0f9a3e4c72fb30e60b32e23fe0bb84d1cbd234d30ef872e495626d6daddbae3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001355", "prompt": "Compute: -6502 * 3201", "solution_steps": ["Multiply: -6502 * 3201 = -20812902"], "final_answer": "-20812902", "answer_type": "integer", "kind": "expression", "math_text": "-6502 * 3201", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6502, \"b\": 3201}", "seed": "15582135539075503393", "semantic_fingerprint": "sha256:4ad310f079135e6aeec28c537df681946d34187242192bd842b40f6fe1fb4186", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001356", "prompt": "Find x: -24(x - 2608) - 9528 = x", "solution_steps": ["Expand: -24x + 62592 - 9528 = x", "Combine constants: -24x + 53064 = x", "Subtract x from both sides: -25x + 53064 = 0", "Subtract 53064 from both sides: -25x = -53064", "Divide both sides by -25: x = 53064/25"], "final_answer": "53064/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 2608) - 9528 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 2608, \"c\": 9528}", "seed": "581935565815459321", "semantic_fingerprint": "sha256:071c5e4c2d4c37de7c5546c9378cdb8c96fab5d8a0e2791e2fc8cacd981ab7db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001357", "prompt": "What is -6403 - (-2593) - 32347?", "solution_steps": ["Subtract: -6403 - (-2593) = -3810", "Subtract: -3810 - 32347 = -36157"], "final_answer": "-36157", "answer_type": "integer", "kind": "expression", "math_text": "-6403 - (-2593) - 32347", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6403, \"b\": -2593, \"c\": 32347}", "seed": "13172211875049930305", "semantic_fingerprint": "sha256:2b03f925e8c2f426ef74651b4df4058fe25c07925db2f88ec489f4d5861c4b1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001358", "prompt": "Compute: (-25596 - 85535) / (-5775)", "solution_steps": ["Subtract: -25596 - 85535 = -111131", "Divide: -111131 / (-5775) = 111131/5775"], "final_answer": "111131/5775", "answer_type": "rational", "kind": "expression", "math_text": "(-25596 - 85535) / (-5775)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25596, \"b\": 85535, \"c\": -5775}", "seed": "12035991662532867616", "semantic_fingerprint": "sha256:f20ae51e0f55a268c8ef1ae8fafd9c969ddbb54787ea2d63579aa083c7e37b40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001359", "prompt": "Calculate: -84222 + 4035 - (-63412) * 7667", "solution_steps": ["Add: -84222 + 4035 = -80187", "Multiply: -63412 * 7667 = -486179804", "Subtract: -80187 - (-486179804) = 486099617"], "final_answer": "486099617", "answer_type": "integer", "kind": "expression", "math_text": "-84222 + 4035 - (-63412) * 7667", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -84222, \"b\": 4035, \"c\": -63412, \"d\": 7667}", "seed": "6852772167467348979", "semantic_fingerprint": "sha256:b871de699ff9642dd2a14c8f4a82ab6dbac333cd84976007011c04e2b3595a7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001360", "prompt": "Compute: -4080 - 12597", "solution_steps": ["Subtract: -4080 - 12597 = -16677"], "final_answer": "-16677", "answer_type": "integer", "kind": "expression", "math_text": "-4080 - 12597", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4080, \"b\": 12597}", "seed": "11767821993040583204", "semantic_fingerprint": "sha256:b7edc1c40aec53e7d9537b64fde52a48210a72794c816d520aaf8b6153980ddd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001361", "prompt": "Compute: 4780 - (-93673) - (-5389) * (-87730)", "solution_steps": ["Subtract: 4780 - (-93673) = 98453", "Multiply: -5389 * (-87730) = 472776970", "Subtract: 98453 - 472776970 = -472678517"], "final_answer": "-472678517", "answer_type": "integer", "kind": "expression", "math_text": "4780 - (-93673) - (-5389) * (-87730)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4780, \"b\": -93673, \"c\": -5389, \"d\": -87730}", "seed": "10492134127430443559", "semantic_fingerprint": "sha256:618ea09c3b1e0d110aa14b92ea8524a56d5da51d088abbbdce90dbb66be3adf9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001362", "prompt": "Compute: -72959 * 79296 / (-97999)", "solution_steps": ["Multiply: -72959 * 79296 = -5785356864", "Divide: -5785356864 / (-97999) = 98056896/1661"], "final_answer": "98056896/1661", "answer_type": "rational", "kind": "expression", "math_text": "-72959 * 79296 / (-97999)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72959, \"b\": 79296, \"c\": -97999}", "seed": "3887218894182876451", "semantic_fingerprint": "sha256:6d2a9e95ce7f4b4518f45f8e8fe7ad2d0c64684a0fed59e0b368b34854bd5d38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001363", "prompt": "Solve for x: 16x + 18314 = x - 9750", "solution_steps": ["Subtract x from both sides: 15x + 18314 = -9750", "Subtract 18314 from both sides: 15x = -28064", "Divide both sides by 15: x = -28064/15"], "final_answer": "-28064/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x + 18314 = x - 9750", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 18314, \"c\": 9750}", "seed": "11260402185716606957", "semantic_fingerprint": "sha256:66ed2058862ed7d41536168ae1167e994c3125a0f955ee83b37ef23706f4fadd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001364", "prompt": "Evaluate: 9749 + (-8750) + (-53491) * (-8619) - (46356 - (-3766))", "solution_steps": ["Add: 9749 + (-8750) = 999", "Multiply: -53491 * (-8619) = 461038929", "Add: 999 + 461038929 = 461039928", "Subtract: 46356 - (-3766) = 50122", "Subtract: 461039928 - 50122 = 460989806"], "final_answer": "460989806", "answer_type": "integer", "kind": "expression", "math_text": "9749 + (-8750) + (-53491) * (-8619) - (46356 - (-3766))", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9749, \"b\": -8750, \"c\": -53491, \"d\": -8619, \"e\": 46356, \"f\": -3766}", "seed": "10023897229542444208", "semantic_fingerprint": "sha256:a86a95968d985a9688ebec24facec2c6135920f65e9c32186cac82a1e373f0d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001365", "prompt": "What value of x satisfies x + 5205 = 28x + 3828?", "solution_steps": ["Subtract 28x from both sides: -27x + 5205 = 3828", "Subtract 5205 from both sides: -27x = -1377", "Divide both sides by -27: x = 51"], "final_answer": "51", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5205 = 28x + 3828", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5205, \"b\": 28, \"d\": 3828, \"x\": 51}", "seed": "11402173666373431022", "semantic_fingerprint": "sha256:9405cfc33c4e9dc0f64d74ecb325aa7328144aad2e7be54575bbc4c20fd676d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001366", "prompt": "Evaluate: -9149 + (-5063 - 9904 - (-5463))", "solution_steps": ["Subtract: -5063 - 9904 = -14967", "Subtract: -14967 - (-5463) = -9504", "Add: -9149 + (-9504) = -18653"], "final_answer": "-18653", "answer_type": "integer", "kind": "expression", "math_text": "-9149 + (-5063 - 9904 - (-5463))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9149, \"b\": -5063, \"c\": 9904, \"d\": -5463}", "seed": "9193797826889326823", "semantic_fingerprint": "sha256:131a1ee1379936d2761c1f8d4f202772a89d2e1ab3c91cde9d6b30dbb654f99b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001367", "prompt": "Evaluate: -69516 * 7253 + 53039", "solution_steps": ["Multiply: -69516 * 7253 = -504199548", "Add: -504199548 + 53039 = -504146509"], "final_answer": "-504146509", "answer_type": "integer", "kind": "expression", "math_text": "-69516 * 7253 + 53039", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69516, \"b\": 7253, \"c\": 53039}", "seed": "1647217591085314956", "semantic_fingerprint": "sha256:e202bd9492f65ab0a4e6fa185542b1b4ab268d461249a17fe34cf22545e147fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001368", "prompt": "What value of x satisfies -22x = -23(x - 4633) + 5988?", "solution_steps": ["Expand: -22x = -23x + 106559 + 5988", "Combine constants: -22x = -23x + 112547", "Add 23x to both sides: x = 112547"], "final_answer": "112547", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x = -23(x - 4633) + 5988", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": -23, \"c\": 4633, \"d\": 5988}", "seed": "13483489458180871599", "semantic_fingerprint": "sha256:d59e48aeb1cecbe72659233419604da69eb24cfa2489066d2a2419d57814dce2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001369", "prompt": "What value of x satisfies x = 36x - 3710?", "solution_steps": ["Subtract 36x from both sides: -35x = -3710", "Divide both sides by -35: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 36x - 3710", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": -3710, \"x\": 106}", "seed": "5730856282745384253", "semantic_fingerprint": "sha256:070fd15147b98ecc13ce279739ba311c2137c13b24f09af7c33bdb1d5101f47e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001370", "prompt": "Solve for x: -40(x - 7667) + 3758 = -21x - 45960", "solution_steps": ["Expand: -40x + 306680 + 3758 = -21x - 45960", "Combine constants: -40x + 310438 = -21x - 45960", "Add 21x to both sides: -19x + 310438 = -45960", "Subtract 310438 from both sides: -19x = -356398", "Divide both sides by -19: x = 356398/19"], "final_answer": "356398/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 7667) + 3758 = -21x - 45960", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 7667, \"c\": 3758, \"d\": -21, \"e\": 45960}", "seed": "10845793815597023589", "semantic_fingerprint": "sha256:489d0566ab3100f76692fa6408f7a06109ee5a372506ce99df4407e41c206e19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001371", "prompt": "Evaluate: 6336 - 2038 / (-16914)", "solution_steps": ["Divide: 2038 / (-16914) = -1019/8457", "Subtract: 6336 - (-1019/8457) = 53584571/8457"], "final_answer": "53584571/8457", "answer_type": "rational", "kind": "expression", "math_text": "6336 - 2038 / (-16914)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6336, \"b\": 2038, \"c\": -16914}", "seed": "17019249105643092364", "semantic_fingerprint": "sha256:a0ce7a2a9105717de7f1652e2c9f6687091bef4d6e1f0111af21a6b02c8673aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001372", "prompt": "Find x: 19x = x + 3474", "solution_steps": ["Subtract x from both sides: 18x = 3474", "Divide both sides by 18: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = x + 3474", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 3474, \"x\": 193}", "seed": "4512427337306235318", "semantic_fingerprint": "sha256:518218ecf2214d8c8682fff6fe0c383274cf889892781727d0ff1f76c3f16cb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001373", "prompt": "Calculate: -2345 - (-90870) - 6797", "solution_steps": ["Subtract: -2345 - (-90870) = 88525", "Subtract: 88525 - 6797 = 81728"], "final_answer": "81728", "answer_type": "integer", "kind": "expression", "math_text": "-2345 - (-90870) - 6797", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2345, \"b\": -90870, \"c\": 6797}", "seed": "8411183595846264795", "semantic_fingerprint": "sha256:3389c596dfa467e3288ab30aaf4c50b55203875936578497534f63973ba29d05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001374", "prompt": "Solve the equation 26x + 9906 = 6295 for x.", "solution_steps": ["Subtract 9906 from both sides: 26x = -3611", "Divide both sides by 26: x = -3611/26"], "final_answer": "-3611/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 9906 = 6295", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 9906, \"c\": 6295}", "seed": "15205908905581117536", "semantic_fingerprint": "sha256:df9fb3b3abafeec16e4a2577950caa26a999938f9874c1fc353a85d2990829ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001375", "prompt": "Find x: x + 8733 = -19(x + 8553) + 8132", "solution_steps": ["Expand: x + 8733 = -19x - 162507 + 8132", "Combine constants: x + 8733 = -19x - 154375", "Add 19x to both sides: 20x + 8733 = -154375", "Subtract 8733 from both sides: 20x = -163108", "Divide both sides by 20: x = -40777/5"], "final_answer": "-40777/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8733 = -19(x + 8553) + 8132", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8733, \"b\": -19, \"c\": 8553, \"d\": 8132}", "seed": "374980312710600998", "semantic_fingerprint": "sha256:ac57a5d49eb19b13614799fe7b7f5a208c481f43f559c1cdbe2cd4ffe70625fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001376", "prompt": "Evaluate: 10170 * (7237 / (-9504 - 4016)) * (1657 - 5156)", "solution_steps": ["Subtract: -9504 - 4016 = -13520", "Divide: 7237 / (-13520) = -7237/13520", "Multiply: 10170 * (-7237/13520) = -7360029/1352", "Subtract: 1657 - 5156 = -3499", "Multiply: (-7360029/1352) * (-3499) = 25752741471/1352"], "final_answer": "25752741471/1352", "answer_type": "rational", "kind": "expression", "math_text": "10170 * (7237 / (-9504 - 4016)) * (1657 - 5156)", "variable": null, "family": "expression_5op", "shape": "(* (* n (/ n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 10170, \"b\": 7237, \"c\": -9504, \"d\": 4016, \"e\": 1657, \"f\": 5156}", "seed": "1257099608772956250", "semantic_fingerprint": "sha256:f1c1c42759956f63d9a08a5e5133c9f06533988ad46df59ee5c6a4ff09e6baeb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001377", "prompt": "Calculate: (94716 - (-9304)) * (-5843) + (13755 + (-2311))", "solution_steps": ["Subtract: 94716 - (-9304) = 104020", "Multiply: 104020 * (-5843) = -607788860", "Add: 13755 + (-2311) = 11444", "Add: -607788860 + 11444 = -607777416"], "final_answer": "-607777416", "answer_type": "integer", "kind": "expression", "math_text": "(94716 - (-9304)) * (-5843) + (13755 + (-2311))", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94716, \"b\": -9304, \"c\": -5843, \"d\": 13755, \"e\": -2311}", "seed": "10221157930691780604", "semantic_fingerprint": "sha256:ced779f78cf2a0bfbf62bcecf5817eb15b1bfd663c23957fe6cc99be3885e7c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001378", "prompt": "Compute: 88490 * (-5833) + (-7055)", "solution_steps": ["Multiply: 88490 * (-5833) = -516162170", "Add: -516162170 + (-7055) = -516169225"], "final_answer": "-516169225", "answer_type": "integer", "kind": "expression", "math_text": "88490 * (-5833) + (-7055)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88490, \"b\": -5833, \"c\": -7055}", "seed": "7205029415104587358", "semantic_fingerprint": "sha256:bf3fcb6d5439ed7c56bf6ea76c8473faf231cf81f9b52513a69ea8535209ecc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001379", "prompt": "Solve for x: x = -19(x - 1558) - 1449", "solution_steps": ["Expand: x = -19x + 29602 - 1449", "Combine constants: x = -19x + 28153", "Add 19x to both sides: 20x = 28153", "Divide both sides by 20: x = 28153/20"], "final_answer": "28153/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -19(x - 1558) - 1449", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1558, \"c\": 1449}", "seed": "15098176106090443189", "semantic_fingerprint": "sha256:ee0f39c2024ae0ace8d01b263fc8362327389a39093a96f9552735200e183ccb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001380", "prompt": "What is (-33736 + (-39784)) * 39558?", "solution_steps": ["Add: -33736 + (-39784) = -73520", "Multiply: -73520 * 39558 = -2908304160"], "final_answer": "-2908304160", "answer_type": "integer", "kind": "expression", "math_text": "(-33736 + (-39784)) * 39558", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33736, \"b\": -39784, \"c\": 39558}", "seed": "7840079994276704897", "semantic_fingerprint": "sha256:880075ab4197f101d18a4d861a8a73068788f130a3172fe311766fe879da9684", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001381", "prompt": "Solve for x: 36(x - 6665) = x", "solution_steps": ["Expand: 36x - 239940 = x", "Subtract x from both sides: 35x - 239940 = 0", "Add 239940 to both sides: 35x = 239940", "Divide both sides by 35: x = 47988/7"], "final_answer": "47988/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 6665) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 6665}", "seed": "13799556305410232540", "semantic_fingerprint": "sha256:003f8e56ca5e82114e81e94c5a25ac920c5a2f712ee74dcf08965d5957535aa3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001382", "prompt": "Evaluate: -8208 + (-53098) + (9696 + 99783)", "solution_steps": ["Add: -8208 + (-53098) = -61306", "Add: 9696 + 99783 = 109479", "Add: -61306 + 109479 = 48173"], "final_answer": "48173", "answer_type": "integer", "kind": "expression", "math_text": "-8208 + (-53098) + (9696 + 99783)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8208, \"b\": -53098, \"c\": 9696, \"d\": 99783}", "seed": "12877895360574867724", "semantic_fingerprint": "sha256:d6f463cc1481b3dc6aff7f1b0591ff2640bc9f350759fffd907c878380e983fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001383", "prompt": "Compute: 38906 - (-79856 / (-4002) + (-4500 + (-2309))) * (-2892)", "solution_steps": ["Divide: -79856 / (-4002) = 1736/87", "Add: -4500 + (-2309) = -6809", "Add: 1736/87 + (-6809) = -590647/87", "Multiply: (-590647/87) * (-2892) = 569383708/29", "Subtract: 38906 - 569383708/29 = -568255434/29"], "final_answer": "-568255434/29", "answer_type": "rational", "kind": "expression", "math_text": "38906 - (-79856 / (-4002) + (-4500 + (-2309))) * (-2892)", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38906, \"b\": -79856, \"c\": -4002, \"d\": -4500, \"e\": -2309, \"f\": -2892}", "seed": "11597186042413854922", "semantic_fingerprint": "sha256:8c6e4c8ca8ab4040621216aa31e18200e3c3379a46491abc8196458a1aa91d62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001384", "prompt": "Evaluate: -44498 + 2524", "solution_steps": ["Add: -44498 + 2524 = -41974"], "final_answer": "-41974", "answer_type": "integer", "kind": "expression", "math_text": "-44498 + 2524", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -44498, \"b\": 2524}", "seed": "4478477505781450139", "semantic_fingerprint": "sha256:beb6eff5eea0e85db06ed67e3264283e299ebbbae633dc014a5d36680d8d9409", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001385", "prompt": "Compute: 2413 * (-7735) * 16606", "solution_steps": ["Multiply: 2413 * (-7735) = -18664555", "Multiply: -18664555 * 16606 = -309943600330"], "final_answer": "-309943600330", "answer_type": "integer", "kind": "expression", "math_text": "2413 * (-7735) * 16606", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2413, \"b\": -7735, \"c\": 16606}", "seed": "4291657365925934859", "semantic_fingerprint": "sha256:8b3a933307187eb4a94cab65e4143ab1c3445960d6c864f136e4f36c8dac0b03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001386", "prompt": "Calculate: -5741 * (6119 * (-8115) / (-11633))", "solution_steps": ["Multiply: 6119 * (-8115) = -49655685", "Divide: -49655685 / (-11633) = 49655685/11633", "Multiply: -5741 * (49655685/11633) = -285073287585/11633"], "final_answer": "-285073287585/11633", "answer_type": "rational", "kind": "expression", "math_text": "-5741 * (6119 * (-8115) / (-11633))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5741, \"b\": 6119, \"c\": -8115, \"d\": -11633}", "seed": "5851493687556890311", "semantic_fingerprint": "sha256:fa879f67b1a94fed0532d7a17e499d0f30bca1fb642d25309533b8a71496c434", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001387", "prompt": "Calculate: -9436 + (8580 + (83509 - 12039))", "solution_steps": ["Subtract: 83509 - 12039 = 71470", "Add: 8580 + 71470 = 80050", "Add: -9436 + 80050 = 70614"], "final_answer": "70614", "answer_type": "integer", "kind": "expression", "math_text": "-9436 + (8580 + (83509 - 12039))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9436, \"b\": 8580, \"c\": 83509, \"d\": 12039}", "seed": "5528178808480277312", "semantic_fingerprint": "sha256:a97a4976b68eb8e95be80f4c476c274da03df243b92932c6c1ad8c608be5690a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001388", "prompt": "Calculate: -4614 + 5280 - 2150", "solution_steps": ["Add: -4614 + 5280 = 666", "Subtract: 666 - 2150 = -1484"], "final_answer": "-1484", "answer_type": "integer", "kind": "expression", "math_text": "-4614 + 5280 - 2150", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4614, \"b\": 5280, \"c\": 2150}", "seed": "1824618612055179262", "semantic_fingerprint": "sha256:3a687702f68354df9c5da6f99f387a0c30d34031734131b517acd356777c4b84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001389", "prompt": "Find x: 15x = 29(x - 1145) - 2196", "solution_steps": ["Expand: 15x = 29x - 33205 - 2196", "Combine constants: 15x = 29x - 35401", "Subtract 29x from both sides: -14x = -35401", "Divide both sides by -14: x = 35401/14"], "final_answer": "35401/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = 29(x - 1145) - 2196", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 29, \"c\": 1145, \"d\": 2196}", "seed": "9946713166775432507", "semantic_fingerprint": "sha256:af1d3d2c617e5872ba10dbd0767a3b6188e3a908f2a76ae1b78f7ab8bd458d8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001390", "prompt": "What value of x satisfies 37x + 65080 = 36x + 64957?", "solution_steps": ["Subtract 36x from both sides: x + 65080 = 64957", "Subtract 65080 from both sides: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x + 65080 = 36x + 64957", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 65080, \"c\": 36, \"e\": 64957, \"x\": -123}", "seed": "5610033988313105021", "semantic_fingerprint": "sha256:d99ae99b83ed0eb1bf0abfc7040bcf4a6255aa06a0dc9ccfbb61f805ba5364ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001391", "prompt": "Evaluate: 49890 + (-1470) + 93302 / 76016", "solution_steps": ["Add: 49890 + (-1470) = 48420", "Divide: 93302 / 76016 = 46651/38008", "Add: 48420 + 46651/38008 = 1840394011/38008"], "final_answer": "1840394011/38008", "answer_type": "rational", "kind": "expression", "math_text": "49890 + (-1470) + 93302 / 76016", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 49890, \"b\": -1470, \"c\": 93302, \"d\": 76016}", "seed": "15505428469482051219", "semantic_fingerprint": "sha256:f3aa49fea201b6f4933e7fc6b533b12e8a641a52fa6f040d70fdbf2a0450f53f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001392", "prompt": "Calculate: -3085 * (73380 / (-7696))", "solution_steps": ["Divide: 73380 / (-7696) = -18345/1924", "Multiply: -3085 * (-18345/1924) = 56594325/1924"], "final_answer": "56594325/1924", "answer_type": "rational", "kind": "expression", "math_text": "-3085 * (73380 / (-7696))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3085, \"b\": 73380, \"c\": -7696}", "seed": "9915166373665991605", "semantic_fingerprint": "sha256:bad63c1b09c9159120794061818179e12e6a93fd5b7ec4025e7dbf169bc81065", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001393", "prompt": "Evaluate: 71347 / (-6856 + (-23644 - 86133)) * (2386 + 88318)", "solution_steps": ["Subtract: -23644 - 86133 = -109777", "Add: -6856 + (-109777) = -116633", "Divide: 71347 / (-116633) = -71347/116633", "Add: 2386 + 88318 = 90704", "Multiply: (-71347/116633) * 90704 = -6471458288/116633"], "final_answer": "-6471458288/116633", "answer_type": "rational", "kind": "expression", "math_text": "71347 / (-6856 + (-23644 - 86133)) * (2386 + 88318)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n (- n n))) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 71347, \"b\": -6856, \"c\": -23644, \"d\": 86133, \"e\": 2386, \"f\": 88318}", "seed": "15014972828036246047", "semantic_fingerprint": "sha256:965dd4b3f80fe8ebb97b54023547239ac86dc1f23a41044e0ad24bfb3ce4c93d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001394", "prompt": "Solve for x: x + 7598 = -27(x + 9633) + 16936", "solution_steps": ["Expand: x + 7598 = -27x - 260091 + 16936", "Combine constants: x + 7598 = -27x - 243155", "Add 27x to both sides: 28x + 7598 = -243155", "Subtract 7598 from both sides: 28x = -250753", "Divide both sides by 28: x = -250753/28"], "final_answer": "-250753/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7598 = -27(x + 9633) + 16936", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7598, \"b\": -27, \"c\": 9633, \"d\": 16936}", "seed": "4223683362957499863", "semantic_fingerprint": "sha256:cefc6180ab06655de2f07b9801d96390ebc75e10818a47c98b7941efc3846691", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001395", "prompt": "Compute: 29057 / 37422 * 5131 * (-4872 - (-11787) + 35728)", "solution_steps": ["Divide: 29057 / 37422 = 4151/5346", "Multiply: (4151/5346) * 5131 = 21298781/5346", "Subtract: -4872 - (-11787) = 6915", "Add: 6915 + 35728 = 42643", "Multiply: (21298781/5346) * 42643 = 908243918183/5346"], "final_answer": "908243918183/5346", "answer_type": "rational", "kind": "expression", "math_text": "29057 / 37422 * 5131 * (-4872 - (-11787) + 35728)", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29057, \"b\": 37422, \"c\": 5131, \"d\": -4872, \"e\": -11787, \"f\": 35728}", "seed": "3761820934674797015", "semantic_fingerprint": "sha256:8d743d185e7c8f1e19151cdfa975aa3906944cbc42a74d69a014a33b91f3ba75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001396", "prompt": "Solve the equation 29(x - 79885) = x for x.", "solution_steps": ["Expand: 29x - 2316665 = x", "Subtract x from both sides: 28x - 2316665 = 0", "Add 2316665 to both sides: 28x = 2316665", "Divide both sides by 28: x = 2316665/28"], "final_answer": "2316665/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 79885) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 79885}", "seed": "13988740111655275095", "semantic_fingerprint": "sha256:a24b8c79d9eec91d7338dacc7978b4e754898c901e8000e565ded2b75ef372f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001397", "prompt": "What is 2189 * 5958?", "solution_steps": ["Multiply: 2189 * 5958 = 13042062"], "final_answer": "13042062", "answer_type": "integer", "kind": "expression", "math_text": "2189 * 5958", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2189, \"b\": 5958}", "seed": "18440560321490066541", "semantic_fingerprint": "sha256:ef697c486edd9f62baf372fc242021d5e3d8e4a0e22ccea3abf7a69327549ee1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001398", "prompt": "Solve the equation -40(x + 5867) = -39(x - 66383) for x.", "solution_steps": ["Expand: -40x - 234680 = -39(x - 66383)", "Expand: -40x - 234680 = -39x + 2588937", "Add 39x to both sides: -x - 234680 = 2588937", "Add 234680 to both sides: -x = 2823617", "Divide both sides by -1: x = -2823617"], "final_answer": "-2823617", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40(x + 5867) = -39(x - 66383)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 5867, \"c\": -39, \"d\": 66383}", "seed": "13323431508202655362", "semantic_fingerprint": "sha256:339575a92c45e4c491ca9e1c2201eca0fd9da5f6040b3d60ca6baa289b955ce1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001399", "prompt": "Evaluate: -1777 + (-9943) + (-7035 + (-39134))", "solution_steps": ["Add: -1777 + (-9943) = -11720", "Add: -7035 + (-39134) = -46169", "Add: -11720 + (-46169) = -57889"], "final_answer": "-57889", "answer_type": "integer", "kind": "expression", "math_text": "-1777 + (-9943) + (-7035 + (-39134))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1777, \"b\": -9943, \"c\": -7035, \"d\": -39134}", "seed": "12231176051553449693", "semantic_fingerprint": "sha256:9600d9f843d72e46b1601bdbdb99b15dbff84d0b020fa7951624afa8bcc91657", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001400", "prompt": "Compute: -7533 * (58137 + (59246 + 91427))", "solution_steps": ["Add: 59246 + 91427 = 150673", "Add: 58137 + 150673 = 208810", "Multiply: -7533 * 208810 = -1572965730"], "final_answer": "-1572965730", "answer_type": "integer", "kind": "expression", "math_text": "-7533 * (58137 + (59246 + 91427))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7533, \"b\": 58137, \"c\": 59246, \"d\": 91427}", "seed": "18381782015967113976", "semantic_fingerprint": "sha256:24384c50e6a2a06666b7a5d49d68fecd4ff2904370d1bcf798ebbc680af2f123", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001401", "prompt": "What value of x satisfies x - 2990 = 21x - 6410?", "solution_steps": ["Subtract 21x from both sides: -20x - 2990 = -6410", "Add 2990 to both sides: -20x = -3420", "Divide both sides by -20: x = 171"], "final_answer": "171", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2990 = 21x - 6410", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2990, \"b\": 21, \"d\": -6410, \"x\": 171}", "seed": "8299008030528051935", "semantic_fingerprint": "sha256:76149c6a1706bb83b8a0a86d52901dc14cc1eaf08d1fc6cbd3160f93e7e28dd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001402", "prompt": "Solve for x: 19x = 23x + 3414", "solution_steps": ["Subtract 23x from both sides: -4x = 3414", "Divide both sides by -4: x = -1707/2"], "final_answer": "-1707/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = 23x + 3414", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 23, \"c\": 3414}", "seed": "8463128849339110888", "semantic_fingerprint": "sha256:54913e98b01c5b69e054ad86a73654c324b8386b8b99d0cff182a9d3ce22c415", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001403", "prompt": "What is -1991 * (2320 * 5770)?", "solution_steps": ["Multiply: 2320 * 5770 = 13386400", "Multiply: -1991 * 13386400 = -26652322400"], "final_answer": "-26652322400", "answer_type": "integer", "kind": "expression", "math_text": "-1991 * (2320 * 5770)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1991, \"b\": 2320, \"c\": 5770}", "seed": "2595517836322857967", "semantic_fingerprint": "sha256:f1d0505de1eb8bec80b08859134d71ed88a6104fc54f9a1f9959f99309bff594", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001404", "prompt": "Evaluate: (-1485 + (-9422)) * (2542 - (-3006))", "solution_steps": ["Add: -1485 + (-9422) = -10907", "Subtract: 2542 - (-3006) = 5548", "Multiply: -10907 * 5548 = -60512036"], "final_answer": "-60512036", "answer_type": "integer", "kind": "expression", "math_text": "(-1485 + (-9422)) * (2542 - (-3006))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1485, \"b\": -9422, \"c\": 2542, \"d\": -3006}", "seed": "7383385864155915994", "semantic_fingerprint": "sha256:278e81a95f862cdd552aed2230b75716726c2a2b103018276465e74be5d495e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001405", "prompt": "Compute: 8269 / (-68075 - 67898)", "solution_steps": ["Subtract: -68075 - 67898 = -135973", "Divide: 8269 / (-135973) = -8269/135973"], "final_answer": "-8269/135973", "answer_type": "rational", "kind": "expression", "math_text": "8269 / (-68075 - 67898)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8269, \"b\": -68075, \"c\": 67898}", "seed": "6089204088266004710", "semantic_fingerprint": "sha256:df699bc815546b41bba02cfc958230abeb624906fe9ddce0d99145e921bff698", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001406", "prompt": "Compute: (91526 + (-89559)) / (-82258)", "solution_steps": ["Add: 91526 + (-89559) = 1967", "Divide: 1967 / (-82258) = -1967/82258"], "final_answer": "-1967/82258", "answer_type": "rational", "kind": "expression", "math_text": "(91526 + (-89559)) / (-82258)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91526, \"b\": -89559, \"c\": -82258}", "seed": "8594814346769609299", "semantic_fingerprint": "sha256:5fd25d425aa4858901036c712f296135d410f120d20ed8ec259b9a37974d5a0a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001407", "prompt": "Solve the equation 20(x - 1569) - 1125 = 36(x - 3499) + 95091 for x.", "solution_steps": ["Expand: 20x - 31380 - 1125 = 36(x - 3499) + 95091", "Expand: 20x - 31380 - 1125 = 36x - 125964 + 95091", "Combine constants: 20x - 32505 = 36x - 125964 + 95091", "Combine constants: 20x - 32505 = 36x - 30873", "Subtract 36x from both sides: -16x - 32505 = -30873", "Add 32505 to both sides: -16x = 1632", "Divide both sides by -16: x = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 1569) - 1125 = 36(x - 3499) + 95091", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1569, \"c\": 1125, \"d\": 36, \"e\": 3499, \"g\": 95091, \"x\": -102}", "seed": "5328979747447610226", "semantic_fingerprint": "sha256:82123627369d298450c0b56ba65250f37cf70e0e4ce7805f36e0093b6aa79661", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001408", "prompt": "Solve for x: 25(x - 1439) = 32(x - 4216) + 99945", "solution_steps": ["Expand: 25x - 35975 = 32(x - 4216) + 99945", "Expand: 25x - 35975 = 32x - 134912 + 99945", "Combine constants: 25x - 35975 = 32x - 34967", "Subtract 32x from both sides: -7x - 35975 = -34967", "Add 35975 to both sides: -7x = 1008", "Divide both sides by -7: x = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 1439) = 32(x - 4216) + 99945", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1439, \"c\": 32, \"d\": 4216, \"f\": 99945, \"x\": -144}", "seed": "10155459238757658898", "semantic_fingerprint": "sha256:af98292534cf1144093b48eef47e7bdbd03ec310c6ff473045ab266e51299537", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001409", "prompt": "What value of x satisfies 37(x - 57399) = -33(x - 8817) - 8579?", "solution_steps": ["Expand: 37x - 2123763 = -33(x - 8817) - 8579", "Expand: 37x - 2123763 = -33x + 290961 - 8579", "Combine constants: 37x - 2123763 = -33x + 282382", "Add 33x to both sides: 70x - 2123763 = 282382", "Add 2123763 to both sides: 70x = 2406145", "Divide both sides by 70: x = 68747/2"], "final_answer": "68747/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 57399) = -33(x - 8817) - 8579", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 57399, \"c\": -33, \"d\": 8817, \"e\": 8579}", "seed": "6999520379149704274", "semantic_fingerprint": "sha256:a7250bb5c5a28170aac197efa378170837ff0f6e3616f2133b5c2a6a98292576", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001410", "prompt": "Calculate: -36078 / 6883 - 5664", "solution_steps": ["Divide: -36078 / 6883 = -36078/6883", "Subtract: -36078/6883 - 5664 = -39021390/6883"], "final_answer": "-39021390/6883", "answer_type": "rational", "kind": "expression", "math_text": "-36078 / 6883 - 5664", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36078, \"b\": 6883, \"c\": 5664}", "seed": "14818102760956113017", "semantic_fingerprint": "sha256:81fde48885ef6a01cebcc811a5ea6b8c50e6e073bfccde46329f85767aec5368", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001411", "prompt": "Compute: (54282 + (-4328)) / (-50520)", "solution_steps": ["Add: 54282 + (-4328) = 49954", "Divide: 49954 / (-50520) = -24977/25260"], "final_answer": "-24977/25260", "answer_type": "rational", "kind": "expression", "math_text": "(54282 + (-4328)) / (-50520)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54282, \"b\": -4328, \"c\": -50520}", "seed": "14729233911527936147", "semantic_fingerprint": "sha256:fefe47f1acd710c2e1b7f3c6eb37ebcec894c151502f8e5f903736cad1251485", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001412", "prompt": "Calculate: 3851 / (-7132) * (-7452)", "solution_steps": ["Divide: 3851 / (-7132) = -3851/7132", "Multiply: (-3851/7132) * (-7452) = 7174413/1783"], "final_answer": "7174413/1783", "answer_type": "rational", "kind": "expression", "math_text": "3851 / (-7132) * (-7452)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3851, \"b\": -7132, \"c\": -7452}", "seed": "5988022652038921797", "semantic_fingerprint": "sha256:4b9cb49e72593ea139096f97c25a2f6de1dce22aae401469fe1969c1c35f0257", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001413", "prompt": "Calculate: -5126 / (-6205 + (-10175))", "solution_steps": ["Add: -6205 + (-10175) = -16380", "Divide: -5126 / (-16380) = 2563/8190"], "final_answer": "2563/8190", "answer_type": "rational", "kind": "expression", "math_text": "-5126 / (-6205 + (-10175))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5126, \"b\": -6205, \"c\": -10175}", "seed": "3111735820242374858", "semantic_fingerprint": "sha256:d60128a08732d04efd34b8d82664efb326e4b59563406fc3ac8e9bec1ffeb9d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001414", "prompt": "What is -9260 - (-3140)?", "solution_steps": ["Subtract: -9260 - (-3140) = -6120"], "final_answer": "-6120", "answer_type": "integer", "kind": "expression", "math_text": "-9260 - (-3140)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9260, \"b\": -3140}", "seed": "18303047279892124480", "semantic_fingerprint": "sha256:4c261067efb6703b95de74d089e6e0c0b243173fd37c29b2418c5573d598a73e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001415", "prompt": "Evaluate: 6507 + (-3124 + (-34786) - (78143 + (-6387)))", "solution_steps": ["Add: -3124 + (-34786) = -37910", "Add: 78143 + (-6387) = 71756", "Subtract: -37910 - 71756 = -109666", "Add: 6507 + (-109666) = -103159"], "final_answer": "-103159", "answer_type": "integer", "kind": "expression", "math_text": "6507 + (-3124 + (-34786) - (78143 + (-6387)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6507, \"b\": -3124, \"c\": -34786, \"d\": 78143, \"e\": -6387}", "seed": "13366277937767094832", "semantic_fingerprint": "sha256:446cb023dac4f0b62c494c900cc19c700e2e7211bda297dc67f2564ef2f2712b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001416", "prompt": "Solve for x: -18(x - 23894) - 9852 = 13(x + 6758) + 62139", "solution_steps": ["Expand: -18x + 430092 - 9852 = 13(x + 6758) + 62139", "Expand: -18x + 430092 - 9852 = 13x + 87854 + 62139", "Combine constants: -18x + 420240 = 13x + 87854 + 62139", "Combine constants: -18x + 420240 = 13x + 149993", "Subtract 13x from both sides: -31x + 420240 = 149993", "Subtract 420240 from both sides: -31x = -270247", "Divide both sides by -31: x = 270247/31"], "final_answer": "270247/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x - 23894) - 9852 = 13(x + 6758) + 62139", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 23894, \"c\": 9852, \"d\": 13, \"e\": 6758, \"f\": 62139}", "seed": "3403977826154257052", "semantic_fingerprint": "sha256:80f3e83da78f537d0a60c0101d485da067ecb28e2734e90aa570f3907b452534", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001417", "prompt": "Calculate: 4689 - 51308 - (-5135) / (-7446)", "solution_steps": ["Subtract: 4689 - 51308 = -46619", "Divide: -5135 / (-7446) = 5135/7446", "Subtract: -46619 - 5135/7446 = -347130209/7446"], "final_answer": "-347130209/7446", "answer_type": "rational", "kind": "expression", "math_text": "4689 - 51308 - (-5135) / (-7446)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4689, \"b\": 51308, \"c\": -5135, \"d\": -7446}", "seed": "206777733168791760", "semantic_fingerprint": "sha256:6de80b1423a0d95f761b2ae4fa14839f6e84c9027ddbbfe8d2d02e75cc63c1f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001418", "prompt": "Evaluate: (16461 + 4666 + (31335 + (-71830 + (-3797)))) * 85897", "solution_steps": ["Add: 16461 + 4666 = 21127", "Add: -71830 + (-3797) = -75627", "Add: 31335 + (-75627) = -44292", "Add: 21127 + (-44292) = -23165", "Multiply: -23165 * 85897 = -1989804005"], "final_answer": "-1989804005", "answer_type": "integer", "kind": "expression", "math_text": "(16461 + 4666 + (31335 + (-71830 + (-3797)))) * 85897", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16461, \"b\": 4666, \"c\": 31335, \"d\": -71830, \"e\": -3797, \"f\": 85897}", "seed": "13683540191169561375", "semantic_fingerprint": "sha256:1e902e28409c4441d19daf28ec2e538b17323c4ab9bd9ecb491692ccdcd7f6f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001419", "prompt": "Compute: 57810 - (-95608)", "solution_steps": ["Subtract: 57810 - (-95608) = 153418"], "final_answer": "153418", "answer_type": "integer", "kind": "expression", "math_text": "57810 - (-95608)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 57810, \"b\": -95608}", "seed": "17472205389181745739", "semantic_fingerprint": "sha256:a00a4b3a91983a12e41e785bf0ec97dde6a853f2503c2ff3ef73ba88c26b6a03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001420", "prompt": "What value of x satisfies 18(x + 7358) = 38x + 4583?", "solution_steps": ["Expand: 18x + 132444 = 38x + 4583", "Subtract 38x from both sides: -20x + 132444 = 4583", "Subtract 132444 from both sides: -20x = -127861", "Divide both sides by -20: x = 127861/20"], "final_answer": "127861/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 7358) = 38x + 4583", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 7358, \"c\": 38, \"d\": 4583}", "seed": "15778726255250516825", "semantic_fingerprint": "sha256:be33ba2b75c3c1e5a26bafbfa6112ccb63c87a76f62f7811b6f51b5b8dd63e33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001421", "prompt": "What is (-4968 - (-9282)) / 1933 - 6884 - (-4731 - 69143)?", "solution_steps": ["Subtract: -4968 - (-9282) = 4314", "Divide: 4314 / 1933 = 4314/1933", "Subtract: 4314/1933 - 6884 = -13302458/1933", "Subtract: -4731 - 69143 = -73874", "Subtract: -13302458/1933 - (-73874) = 129495984/1933"], "final_answer": "129495984/1933", "answer_type": "rational", "kind": "expression", "math_text": "(-4968 - (-9282)) / 1933 - 6884 - (-4731 - 69143)", "variable": null, "family": "expression_5op", "shape": "(- (- (/ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4968, \"b\": -9282, \"c\": 1933, \"d\": 6884, \"e\": -4731, \"f\": 69143}", "seed": "3446995300376377075", "semantic_fingerprint": "sha256:d29e8d5ac12b597cbb1214d1c4ac2b2bacf0d2217cba8ecc7036ae7d8fc714d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001422", "prompt": "What is 4592 / 1134 * (5837 / (-5178 / 37300))?", "solution_steps": ["Divide: 4592 / 1134 = 328/81", "Divide: -5178 / 37300 = -2589/18650", "Divide: 5837 / (-2589/18650) = -108860050/2589", "Multiply: (328/81) * (-108860050/2589) = -35706096400/209709"], "final_answer": "-35706096400/209709", "answer_type": "rational", "kind": "expression", "math_text": "4592 / 1134 * (5837 / (-5178 / 37300))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4592, \"b\": 1134, \"c\": 5837, \"d\": -5178, \"e\": 37300}", "seed": "5392105278134997395", "semantic_fingerprint": "sha256:1fa7f5dacad6643b305f490feeec2cff8cdfa88320328f41ab5a825d0a239c26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001423", "prompt": "Evaluate: 50227 + 43811 + 4120", "solution_steps": ["Add: 50227 + 43811 = 94038", "Add: 94038 + 4120 = 98158"], "final_answer": "98158", "answer_type": "integer", "kind": "expression", "math_text": "50227 + 43811 + 4120", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50227, \"b\": 43811, \"c\": 4120}", "seed": "1301812655466990562", "semantic_fingerprint": "sha256:3838ac63fe9e9f99e05a25519764fff1714caed0c779a68e491d8aeb670ca036", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001424", "prompt": "What is 40157 + 3942 + (-83605) * (-32413)?", "solution_steps": ["Add: 40157 + 3942 = 44099", "Multiply: -83605 * (-32413) = 2709888865", "Add: 44099 + 2709888865 = 2709932964"], "final_answer": "2709932964", "answer_type": "integer", "kind": "expression", "math_text": "40157 + 3942 + (-83605) * (-32413)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40157, \"b\": 3942, \"c\": -83605, \"d\": -32413}", "seed": "5666077542760989522", "semantic_fingerprint": "sha256:483ba12e5d44a6ce6deecdae5c713eaa52400b01cabf20fc815b938f5af44a8f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001425", "prompt": "What value of x satisfies 19x + 6984 = x + 8208?", "solution_steps": ["Subtract x from both sides: 18x + 6984 = 8208", "Subtract 6984 from both sides: 18x = 1224", "Divide both sides by 18: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 6984 = x + 8208", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 6984, \"d\": 8208, \"x\": 68}", "seed": "13695917842041802968", "semantic_fingerprint": "sha256:53f6722c245af1b41b3acf29e3cb36e511a3f61ed16ab9eac8bfe53130c0e139", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001426", "prompt": "Find x: x = 28(x - 97109)", "solution_steps": ["Expand: x = 28x - 2719052", "Subtract 28x from both sides: -27x = -2719052", "Divide both sides by -27: x = 2719052/27"], "final_answer": "2719052/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x - 97109)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 97109}", "seed": "3484615328731646102", "semantic_fingerprint": "sha256:1b0aeaa182130d86ebccf042ac36ab250bf352d6f12c95f8a0d273f069a8bb46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001427", "prompt": "Solve for x: 30(x - 7490) = 19(x - 3115)", "solution_steps": ["Expand: 30x - 224700 = 19(x - 3115)", "Expand: 30x - 224700 = 19x - 59185", "Subtract 19x from both sides: 11x - 224700 = -59185", "Add 224700 to both sides: 11x = 165515", "Divide both sides by 11: x = 165515/11"], "final_answer": "165515/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 7490) = 19(x - 3115)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 7490, \"c\": 19, \"d\": 3115}", "seed": "6443752641340981745", "semantic_fingerprint": "sha256:2e0ec8b48b65853938ecfcdee39997e31102da3acfbc72dc8f0ff4eba6fe3d0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001428", "prompt": "Calculate: -5602 / (-59903 + (-5635))", "solution_steps": ["Add: -59903 + (-5635) = -65538", "Divide: -5602 / (-65538) = 2801/32769"], "final_answer": "2801/32769", "answer_type": "rational", "kind": "expression", "math_text": "-5602 / (-59903 + (-5635))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5602, \"b\": -59903, \"c\": -5635}", "seed": "8069280137965445655", "semantic_fingerprint": "sha256:b764d91816120d7a19ce7086864134524d7a20ec036775e0e2ddef9da25b917d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001429", "prompt": "Compute: (8823 + 5891) * (-38053 / (-4958))", "solution_steps": ["Add: 8823 + 5891 = 14714", "Divide: -38053 / (-4958) = 38053/4958", "Multiply: 14714 * (38053/4958) = 279955921/2479"], "final_answer": "279955921/2479", "answer_type": "rational", "kind": "expression", "math_text": "(8823 + 5891) * (-38053 / (-4958))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8823, \"b\": 5891, \"c\": -38053, \"d\": -4958}", "seed": "15155196843493760517", "semantic_fingerprint": "sha256:188b5b08acf861f752e417bbb34603d4227265ce14932358b0bd106c7e4bef4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001430", "prompt": "Evaluate: (2715 - 3986) * (-82578)", "solution_steps": ["Subtract: 2715 - 3986 = -1271", "Multiply: -1271 * (-82578) = 104956638"], "final_answer": "104956638", "answer_type": "integer", "kind": "expression", "math_text": "(2715 - 3986) * (-82578)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2715, \"b\": 3986, \"c\": -82578}", "seed": "17137224554049563794", "semantic_fingerprint": "sha256:e1b897dcfeb6528302502733ce6a242f6733351a2642f2cf0cffccebd88435cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001431", "prompt": "Calculate: 8874 - (-4385 + 5468)", "solution_steps": ["Add: -4385 + 5468 = 1083", "Subtract: 8874 - 1083 = 7791"], "final_answer": "7791", "answer_type": "integer", "kind": "expression", "math_text": "8874 - (-4385 + 5468)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8874, \"b\": -4385, \"c\": 5468}", "seed": "12367613782105291012", "semantic_fingerprint": "sha256:ce5d89c919e9b628ee2714b5b0d68d4c00a72d4719ab72c85810a1e87f2635fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001432", "prompt": "Calculate: 8357 * (-3478) + 3221", "solution_steps": ["Multiply: 8357 * (-3478) = -29065646", "Add: -29065646 + 3221 = -29062425"], "final_answer": "-29062425", "answer_type": "integer", "kind": "expression", "math_text": "8357 * (-3478) + 3221", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8357, \"b\": -3478, \"c\": 3221}", "seed": "12166241089684379612", "semantic_fingerprint": "sha256:327d2520a764c59da6931d06b4c1ac6a08ad3a31b7c6c5bb8adaa7be2bcd0d9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001433", "prompt": "What value of x satisfies 38(x - 54073) - 4926 = 39(x + 6180)?", "solution_steps": ["Expand: 38x - 2054774 - 4926 = 39(x + 6180)", "Expand: 38x - 2054774 - 4926 = 39x + 241020", "Combine constants: 38x - 2059700 = 39x + 241020", "Subtract 39x from both sides: -x - 2059700 = 241020", "Add 2059700 to both sides: -x = 2300720", "Divide both sides by -1: x = -2300720"], "final_answer": "-2300720", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x - 54073) - 4926 = 39(x + 6180)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 54073, \"c\": 4926, \"d\": 39, \"e\": 6180}", "seed": "4780100598019859538", "semantic_fingerprint": "sha256:87fe9e39ebdcc168f487f44413cbe44c8f87fee36a538f1cc3d2cdd2bfcc9948", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001434", "prompt": "Calculate: -9122 / (-53199)", "solution_steps": ["Divide: -9122 / (-53199) = 9122/53199"], "final_answer": "9122/53199", "answer_type": "rational", "kind": "expression", "math_text": "-9122 / (-53199)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9122, \"b\": -53199}", "seed": "3885018303371190591", "semantic_fingerprint": "sha256:8a7cdd0914c81300944b8df217f0c23e4cc2f2097e42a4b81b7e0a5e47ae3710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001435", "prompt": "What is 8123 * (-21214)?", "solution_steps": ["Multiply: 8123 * (-21214) = -172321322"], "final_answer": "-172321322", "answer_type": "integer", "kind": "expression", "math_text": "8123 * (-21214)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8123, \"b\": -21214}", "seed": "9289478270770955430", "semantic_fingerprint": "sha256:ade41f66eb6d23644e4c03524ef19c1fa6164d9501a1c3a1972d455fa02e83da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001436", "prompt": "Evaluate: 62871 + (-41168 + 22613)", "solution_steps": ["Add: -41168 + 22613 = -18555", "Add: 62871 + (-18555) = 44316"], "final_answer": "44316", "answer_type": "integer", "kind": "expression", "math_text": "62871 + (-41168 + 22613)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62871, \"b\": -41168, \"c\": 22613}", "seed": "14645347683413981005", "semantic_fingerprint": "sha256:72ee3634d64c85bb67e09736d84096f9bd5680a586959f57eafa408cb97f2ef4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001437", "prompt": "What is 6566 + (18382 - (-15816 + (-3400))) * 17849 - 26141?", "solution_steps": ["Add: -15816 + (-3400) = -19216", "Subtract: 18382 - (-19216) = 37598", "Multiply: 37598 * 17849 = 671086702", "Add: 6566 + 671086702 = 671093268", "Subtract: 671093268 - 26141 = 671067127"], "final_answer": "671067127", "answer_type": "integer", "kind": "expression", "math_text": "6566 + (18382 - (-15816 + (-3400))) * 17849 - 26141", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* (- n (+ n n)) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6566, \"b\": 18382, \"c\": -15816, \"d\": -3400, \"e\": 17849, \"f\": 26141}", "seed": "2933733163484921228", "semantic_fingerprint": "sha256:3e615ad664f2541d33e42984da4c79aa94b82fe655dde680e70f2b1bbd6f049e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001438", "prompt": "Evaluate: -4317 + 9947", "solution_steps": ["Add: -4317 + 9947 = 5630"], "final_answer": "5630", "answer_type": "integer", "kind": "expression", "math_text": "-4317 + 9947", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4317, \"b\": 9947}", "seed": "10952459807361045035", "semantic_fingerprint": "sha256:da35733fddd615e59b9da08ca53fc1b5e110c1690826f7bf5d69fc600ee89a8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001439", "prompt": "Solve for x: x + 9184 = -15x + 8704", "solution_steps": ["Add 15x to both sides: 16x + 9184 = 8704", "Subtract 9184 from both sides: 16x = -480", "Divide both sides by 16: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9184 = -15x + 8704", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9184, \"b\": -15, \"d\": 8704, \"x\": -30}", "seed": "2036924454877531785", "semantic_fingerprint": "sha256:3b353fc9bb345fa0225f039bb69693b90c08d54a43b8067537e62a5f3950c1ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001440", "prompt": "Solve the equation 13(x + 3111) + 3192 = -29(x - 86861) + 37716 for x.", "solution_steps": ["Expand: 13x + 40443 + 3192 = -29(x - 86861) + 37716", "Expand: 13x + 40443 + 3192 = -29x + 2518969 + 37716", "Combine constants: 13x + 43635 = -29x + 2518969 + 37716", "Combine constants: 13x + 43635 = -29x + 2556685", "Add 29x to both sides: 42x + 43635 = 2556685", "Subtract 43635 from both sides: 42x = 2513050", "Divide both sides by 42: x = 1256525/21"], "final_answer": "1256525/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 3111) + 3192 = -29(x - 86861) + 37716", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 3111, \"c\": 3192, \"d\": -29, \"e\": 86861, \"f\": 37716}", "seed": "11888397244140499501", "semantic_fingerprint": "sha256:e00555652a238288a1696c0fe704f94e9323a8009b905d1c6a21711e7949dc7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001441", "prompt": "Solve for x: x = -19(x - 72191)", "solution_steps": ["Expand: x = -19x + 1371629", "Add 19x to both sides: 20x = 1371629", "Divide both sides by 20: x = 1371629/20"], "final_answer": "1371629/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -19(x - 72191)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 72191}", "seed": "9112815140084798288", "semantic_fingerprint": "sha256:4c44351aec35e5f86e160822fd90d474ab712f4046d1282b43dccf7ab0745960", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001442", "prompt": "Calculate: -18947 * (4970 * 8669)", "solution_steps": ["Multiply: 4970 * 8669 = 43084930", "Multiply: -18947 * 43084930 = -816330168710"], "final_answer": "-816330168710", "answer_type": "integer", "kind": "expression", "math_text": "-18947 * (4970 * 8669)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18947, \"b\": 4970, \"c\": 8669}", "seed": "580180885417096966", "semantic_fingerprint": "sha256:58ad11b20a210a96c6ca001c3eb173034a7694001aab4dd5812cdcaf2ae651b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001443", "prompt": "Solve the equation -31x - 5585 = x - 3793 for x.", "solution_steps": ["Subtract x from both sides: -32x - 5585 = -3793", "Add 5585 to both sides: -32x = 1792", "Divide both sides by -32: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x - 5585 = x - 3793", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 5585, \"d\": -3793, \"x\": -56}", "seed": "8554893515480372134", "semantic_fingerprint": "sha256:dde9d2a72b026ed3ba0c81a679250d420afb973620c209d702114a53392d66c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001444", "prompt": "Solve for x: 31(x - 4663) = 27(x - 3828) - 35756", "solution_steps": ["Expand: 31x - 144553 = 27(x - 3828) - 35756", "Expand: 31x - 144553 = 27x - 103356 - 35756", "Combine constants: 31x - 144553 = 27x - 139112", "Subtract 27x from both sides: 4x - 144553 = -139112", "Add 144553 to both sides: 4x = 5441", "Divide both sides by 4: x = 5441/4"], "final_answer": "5441/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 4663) = 27(x - 3828) - 35756", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 4663, \"c\": 27, \"d\": 3828, \"e\": 35756}", "seed": "5227975073562156423", "semantic_fingerprint": "sha256:4f12366b13ee4fca077d3afbf4f1ff8bad7637260cf1b7b70b0a2dadd605ee87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001445", "prompt": "What is -1091 * (-3773)?", "solution_steps": ["Multiply: -1091 * (-3773) = 4116343"], "final_answer": "4116343", "answer_type": "integer", "kind": "expression", "math_text": "-1091 * (-3773)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1091, \"b\": -3773}", "seed": "1143107502883696748", "semantic_fingerprint": "sha256:f39228943bd5eae89bafea59e299c832e68d4e5ddb09a08b6039e03890be27a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001446", "prompt": "What is 6087 * (-29481)?", "solution_steps": ["Multiply: 6087 * (-29481) = -179450847"], "final_answer": "-179450847", "answer_type": "integer", "kind": "expression", "math_text": "6087 * (-29481)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6087, \"b\": -29481}", "seed": "177921161415247558", "semantic_fingerprint": "sha256:19194e8f3e7d88d5ea2c144d65bde6807779456d0a404ec9309aa90e0705a20a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001447", "prompt": "What is -8238 / 9899 + 9512?", "solution_steps": ["Divide: -8238 / 9899 = -8238/9899", "Add: -8238/9899 + 9512 = 94151050/9899"], "final_answer": "94151050/9899", "answer_type": "rational", "kind": "expression", "math_text": "-8238 / 9899 + 9512", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8238, \"b\": 9899, \"c\": 9512}", "seed": "2626701341025727462", "semantic_fingerprint": "sha256:0af29aa1982979d47d3e80d3183e30783bdbd1a86a45c41bcf0dd0e1d31cc5fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001448", "prompt": "Calculate: -82543 / (-3592)", "solution_steps": ["Divide: -82543 / (-3592) = 82543/3592"], "final_answer": "82543/3592", "answer_type": "rational", "kind": "expression", "math_text": "-82543 / (-3592)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82543, \"b\": -3592}", "seed": "908672093263710771", "semantic_fingerprint": "sha256:7e4937eb59a59654c8a18269d538f4e8de327cea25a6cee4cefc9bcfc72f39e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001449", "prompt": "Solve for x: 22x + 31412 = 33x + 29641", "solution_steps": ["Subtract 33x from both sides: -11x + 31412 = 29641", "Subtract 31412 from both sides: -11x = -1771", "Divide both sides by -11: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 31412 = 33x + 29641", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 31412, \"c\": 33, \"e\": 29641, \"x\": 161}", "seed": "11835667070072121491", "semantic_fingerprint": "sha256:eef436312e53e00dd775f9866f8dbac6a9dba7e4f8a9e0f0387bb92268387d2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001450", "prompt": "Find x: 35(x - 65373) = x", "solution_steps": ["Expand: 35x - 2288055 = x", "Subtract x from both sides: 34x - 2288055 = 0", "Add 2288055 to both sides: 34x = 2288055", "Divide both sides by 34: x = 2288055/34"], "final_answer": "2288055/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 65373) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 65373}", "seed": "10934999020266736251", "semantic_fingerprint": "sha256:48dae533a96a8010ea1638981b83d65c415d8045c933a55f925fb9bf41b9b9c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001451", "prompt": "Calculate: 4649 / (-6558) + (1871 - (-93714))", "solution_steps": ["Divide: 4649 / (-6558) = -4649/6558", "Subtract: 1871 - (-93714) = 95585", "Add: -4649/6558 + 95585 = 626841781/6558"], "final_answer": "626841781/6558", "answer_type": "rational", "kind": "expression", "math_text": "4649 / (-6558) + (1871 - (-93714))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4649, \"b\": -6558, \"c\": 1871, \"d\": -93714}", "seed": "13372233966902687677", "semantic_fingerprint": "sha256:909f40aff5c74691eed4b29879946005d7e34b5012186ab89812028586a5bb61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001452", "prompt": "What is 2333 / ((-6609 - 6561) / (-5684))?", "solution_steps": ["Subtract: -6609 - 6561 = -13170", "Divide: -13170 / (-5684) = 6585/2842", "Divide: 2333 / (6585/2842) = 6630386/6585"], "final_answer": "6630386/6585", "answer_type": "rational", "kind": "expression", "math_text": "2333 / ((-6609 - 6561) / (-5684))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2333, \"b\": -6609, \"c\": 6561, \"d\": -5684}", "seed": "17981070462417572075", "semantic_fingerprint": "sha256:259ce82a5741c21b79c7d791b41dab2769b61f1dbf4e40da1e1ef187111b1e8f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001453", "prompt": "Find x: x - 5966 = 23(x - 8081)", "solution_steps": ["Expand: x - 5966 = 23x - 185863", "Subtract 23x from both sides: -22x - 5966 = -185863", "Add 5966 to both sides: -22x = -179897", "Divide both sides by -22: x = 179897/22"], "final_answer": "179897/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5966 = 23(x - 8081)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5966, \"b\": 23, \"c\": 8081}", "seed": "12641851832906042843", "semantic_fingerprint": "sha256:1218afebe9ea808b5fa83294760d039ac075463d46e5405505ec244e75a1328a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001454", "prompt": "Solve for x: 38(x - 20681) = 34(x + 93172)", "solution_steps": ["Expand: 38x - 785878 = 34(x + 93172)", "Expand: 38x - 785878 = 34x + 3167848", "Subtract 34x from both sides: 4x - 785878 = 3167848", "Add 785878 to both sides: 4x = 3953726", "Divide both sides by 4: x = 1976863/2"], "final_answer": "1976863/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 20681) = 34(x + 93172)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 20681, \"c\": 34, \"d\": 93172}", "seed": "10928888252476653455", "semantic_fingerprint": "sha256:44cdc50190e1aa5c9b99374631fc220f767504ccd658fe8f51c5edaf98e50bf8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001455", "prompt": "Solve for x: x + 62887 = 14(x + 4608)", "solution_steps": ["Expand: x + 62887 = 14x + 64512", "Subtract 14x from both sides: -13x + 62887 = 64512", "Subtract 62887 from both sides: -13x = 1625", "Divide both sides by -13: x = -125"], "final_answer": "-125", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 62887 = 14(x + 4608)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4608, \"d\": 62887, \"x\": -125}", "seed": "13729923739401819739", "semantic_fingerprint": "sha256:569bb869c89f13f9088026752f79bd1b9916556a7f47052c05e819e8dbf8e245", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001456", "prompt": "Find x: x + 28397 = 28307", "solution_steps": ["Subtract 28397 from both sides: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 28397 = 28307", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28397, \"c\": 28307, \"x\": -90}", "seed": "12945817248268156743", "semantic_fingerprint": "sha256:cb2b19f8e6f600c219a21c36b7ef4de931d78f24e32fec0e38b734060fe94683", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001457", "prompt": "What is -75486 + 7137 * (-4527)?", "solution_steps": ["Multiply: 7137 * (-4527) = -32309199", "Add: -75486 + (-32309199) = -32384685"], "final_answer": "-32384685", "answer_type": "integer", "kind": "expression", "math_text": "-75486 + 7137 * (-4527)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75486, \"b\": 7137, \"c\": -4527}", "seed": "13161319485018497636", "semantic_fingerprint": "sha256:8045f9bed871813589e42049b9a4ecc35d6e792076ef73375e722f19553989f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001458", "prompt": "Compute: 9928 - (-3781 + (5824 * (-68772) - 1640 / (-8932)))", "solution_steps": ["Multiply: 5824 * (-68772) = -400528128", "Divide: 1640 / (-8932) = -410/2233", "Subtract: -400528128 - (-410/2233) = -894379309414/2233", "Add: -3781 + (-894379309414/2233) = -894387752387/2233", "Subtract: 9928 - (-894387752387/2233) = 894409921611/2233"], "final_answer": "894409921611/2233", "answer_type": "rational", "kind": "expression", "math_text": "9928 - (-3781 + (5824 * (-68772) - 1640 / (-8932)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (- (* n n) (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9928, \"b\": -3781, \"c\": 5824, \"d\": -68772, \"e\": 1640, \"f\": -8932}", "seed": "1063959974710759677", "semantic_fingerprint": "sha256:2d9aaf2354e83d194dca6306fd8523399428d12124361b322504999f1659a77a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001459", "prompt": "What is 4550 * (5540 - 5477) - (-2970)?", "solution_steps": ["Subtract: 5540 - 5477 = 63", "Multiply: 4550 * 63 = 286650", "Subtract: 286650 - (-2970) = 289620"], "final_answer": "289620", "answer_type": "integer", "kind": "expression", "math_text": "4550 * (5540 - 5477) - (-2970)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4550, \"b\": 5540, \"c\": 5477, \"d\": -2970}", "seed": "12105616427592326998", "semantic_fingerprint": "sha256:4c05c5236aad80e0846f8292a9b34bf718be17bae56d2647ebae77271c59f9b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001460", "prompt": "Solve the equation x + 9659 = 35(x + 5675) for x.", "solution_steps": ["Expand: x + 9659 = 35x + 198625", "Subtract 35x from both sides: -34x + 9659 = 198625", "Subtract 9659 from both sides: -34x = 188966", "Divide both sides by -34: x = -94483/17"], "final_answer": "-94483/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9659 = 35(x + 5675)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9659, \"b\": 35, \"c\": 5675}", "seed": "7526836814420884009", "semantic_fingerprint": "sha256:ae4d36e662fb341d3b3dfab77bdfb9858cb9c07989e7352c35cbedaedc027b6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001461", "prompt": "Solve for x: 24(x - 6560) = 38(x - 61728) - 6129", "solution_steps": ["Expand: 24x - 157440 = 38(x - 61728) - 6129", "Expand: 24x - 157440 = 38x - 2345664 - 6129", "Combine constants: 24x - 157440 = 38x - 2351793", "Subtract 38x from both sides: -14x - 157440 = -2351793", "Add 157440 to both sides: -14x = -2194353", "Divide both sides by -14: x = 313479/2"], "final_answer": "313479/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 6560) = 38(x - 61728) - 6129", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6560, \"c\": 38, \"d\": 61728, \"e\": 6129}", "seed": "6401098932610470920", "semantic_fingerprint": "sha256:ca788334617f5a97d33ba05f7fd152f97f0b6b81d5ec15fe845c5e9a6246051a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001462", "prompt": "Find x: x + 1085 = 7207", "solution_steps": ["Subtract 1085 from both sides: x = 6122"], "final_answer": "6122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1085 = 7207", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1085, \"b\": 7207}", "seed": "18038152902663902211", "semantic_fingerprint": "sha256:8691081e80202579841bf1904ef9f49a3b7adc0d2d5960ecb9cfe23560d5bd7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001463", "prompt": "What is 1962 - 3875?", "solution_steps": ["Subtract: 1962 - 3875 = -1913"], "final_answer": "-1913", "answer_type": "integer", "kind": "expression", "math_text": "1962 - 3875", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1962, \"b\": 3875}", "seed": "6339724346165196683", "semantic_fingerprint": "sha256:ed4f0d5635a05e6620c6489682040b12861e1d4a91781ffd49036f75f7043bc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001464", "prompt": "Find x: 16(x + 3716) - 60251 = x", "solution_steps": ["Expand: 16x + 59456 - 60251 = x", "Combine constants: 16x - 795 = x", "Subtract x from both sides: 15x - 795 = 0", "Add 795 to both sides: 15x = 795", "Divide both sides by 15: x = 53"], "final_answer": "53", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 3716) - 60251 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3716, \"d\": -60251, \"x\": 53}", "seed": "15066926513524487298", "semantic_fingerprint": "sha256:67667af08f6f6d3beca10d4631b8fd08ccb6974adbbb2585fd458dd02d679f46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001465", "prompt": "Find x: 26(x + 91253) = -12277", "solution_steps": ["Expand: 26x + 2372578 = -12277", "Subtract 2372578 from both sides: 26x = -2384855", "Divide both sides by 26: x = -2384855/26"], "final_answer": "-2384855/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 91253) = -12277", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 91253, \"c\": -12277}", "seed": "17430188890671903928", "semantic_fingerprint": "sha256:be9881b132077285e1192ea8d99da57af339e23a720fc1baec339edb238d9b2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001466", "prompt": "What value of x satisfies -35(x - 12815) + 1196 = -20x - 6984?", "solution_steps": ["Expand: -35x + 448525 + 1196 = -20x - 6984", "Combine constants: -35x + 449721 = -20x - 6984", "Add 20x to both sides: -15x + 449721 = -6984", "Subtract 449721 from both sides: -15x = -456705", "Divide both sides by -15: x = 30447"], "final_answer": "30447", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35(x - 12815) + 1196 = -20x - 6984", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 12815, \"c\": 1196, \"d\": -20, \"e\": 6984}", "seed": "15988192031354399936", "semantic_fingerprint": "sha256:1f1fdfa4d997e0f5b06b48614b3a1e7254c59bc4d9cc265de8117b27a0df4c1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001467", "prompt": "What value of x satisfies x = -18(x + 9459)?", "solution_steps": ["Expand: x = -18x - 170262", "Add 18x to both sides: 19x = -170262", "Divide both sides by 19: x = -170262/19"], "final_answer": "-170262/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -18(x + 9459)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 9459}", "seed": "1213475315337275586", "semantic_fingerprint": "sha256:ec17772bf4ffae618ef654514fb37253a64b2415e8eaeadac0a68aac7a9b8f67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001468", "prompt": "What value of x satisfies x - 56170 = 18x - 55303?", "solution_steps": ["Subtract 18x from both sides: -17x - 56170 = -55303", "Add 56170 to both sides: -17x = 867", "Divide both sides by -17: x = -51"], "final_answer": "-51", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56170 = 18x - 55303", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 56170, \"b\": 18, \"d\": -55303, \"x\": -51}", "seed": "12681408657112921713", "semantic_fingerprint": "sha256:41919f72dfd731e3fd94d5ad76a8f6e50b5ffb50d0162b544a803e00c88c5931", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001469", "prompt": "Evaluate: 6212 + 99726 + (-9525) / (-3403)", "solution_steps": ["Add: 6212 + 99726 = 105938", "Divide: -9525 / (-3403) = 9525/3403", "Add: 105938 + 9525/3403 = 360516539/3403"], "final_answer": "360516539/3403", "answer_type": "rational", "kind": "expression", "math_text": "6212 + 99726 + (-9525) / (-3403)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6212, \"b\": 99726, \"c\": -9525, \"d\": -3403}", "seed": "3189294703254152950", "semantic_fingerprint": "sha256:70b950c632481f96918dceb25e0276041b912b211c873b4b561874c46a2adf2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001470", "prompt": "What value of x satisfies 35(x + 53525) = 34(x + 28650)?", "solution_steps": ["Expand: 35x + 1873375 = 34(x + 28650)", "Expand: 35x + 1873375 = 34x + 974100", "Subtract 34x from both sides: x + 1873375 = 974100", "Subtract 1873375 from both sides: x = -899275"], "final_answer": "-899275", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 53525) = 34(x + 28650)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 53525, \"c\": 34, \"d\": 28650}", "seed": "16755061884805822641", "semantic_fingerprint": "sha256:fd0d8fc1b297a54227b58dfd62b9b3c6b2e510e03880b8f684ee023a5899733a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001471", "prompt": "Solve for x: x = 37(x - 5642) - 3412", "solution_steps": ["Expand: x = 37x - 208754 - 3412", "Combine constants: x = 37x - 212166", "Subtract 37x from both sides: -36x = -212166", "Divide both sides by -36: x = 11787/2"], "final_answer": "11787/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x - 5642) - 3412", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 5642, \"c\": 3412}", "seed": "8239928593161853481", "semantic_fingerprint": "sha256:163909ebd0b2a0a08ad9f97572443a5a451986f49cef0c81bc7ec1a7694191d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001472", "prompt": "Find x: x = 23(x + 6790)", "solution_steps": ["Expand: x = 23x + 156170", "Subtract 23x from both sides: -22x = 156170", "Divide both sides by -22: x = -78085/11"], "final_answer": "-78085/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 23(x + 6790)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 6790}", "seed": "7234206740673592795", "semantic_fingerprint": "sha256:346e8c706613897ec4203e6a2257346cc616b86d386e457e4fb2f47c7e58f7a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001473", "prompt": "Solve for x: x - 9805 = -13x - 12956", "solution_steps": ["Add 13x to both sides: 14x - 9805 = -12956", "Add 9805 to both sides: 14x = -3151", "Divide both sides by 14: x = -3151/14"], "final_answer": "-3151/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9805 = -13x - 12956", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9805, \"b\": -13, \"c\": 12956}", "seed": "792101039323108850", "semantic_fingerprint": "sha256:b9da962a8f460e020b194863333404ca912f00488a5e7a65204a955859f9f8af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001474", "prompt": "Find x: 13x + 38264 = -20(x + 7478)", "solution_steps": ["Expand: 13x + 38264 = -20x - 149560", "Add 20x to both sides: 33x + 38264 = -149560", "Subtract 38264 from both sides: 33x = -187824", "Divide both sides by 33: x = -62608/11"], "final_answer": "-62608/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 38264 = -20(x + 7478)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 38264, \"c\": -20, \"d\": 7478}", "seed": "3604991411910230968", "semantic_fingerprint": "sha256:f5b7047f50c7bef4defe8b9c8c1e4c9d346e30ef970c6d1a1dae5fec92d12560", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001475", "prompt": "Solve the equation x - 4692 = 35x for x.", "solution_steps": ["Subtract 35x from both sides: -34x - 4692 = 0", "Add 4692 to both sides: -34x = 4692", "Divide both sides by -34: x = -138"], "final_answer": "-138", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4692 = 35x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"c\": -4692, \"x\": -138}", "seed": "2308683901045574071", "semantic_fingerprint": "sha256:7348d24bec103a7dd07558cbeb62958f5d2e1d380ff35f4c7344bd1edaee76dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001476", "prompt": "What is 26495 * (-1661) / (-7418 - 9536)?", "solution_steps": ["Multiply: 26495 * (-1661) = -44008195", "Subtract: -7418 - 9536 = -16954", "Divide: -44008195 / (-16954) = 6286885/2422"], "final_answer": "6286885/2422", "answer_type": "rational", "kind": "expression", "math_text": "26495 * (-1661) / (-7418 - 9536)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26495, \"b\": -1661, \"c\": -7418, \"d\": 9536}", "seed": "14081823485046816677", "semantic_fingerprint": "sha256:bbe07782bfa3688983ad461ed08a935c84a9f800bb2cdd178675e177fe6bb218", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001477", "prompt": "Find x: 13(x - 2445) + 8688 = 26(x + 9733) + 74167", "solution_steps": ["Expand: 13x - 31785 + 8688 = 26(x + 9733) + 74167", "Expand: 13x - 31785 + 8688 = 26x + 253058 + 74167", "Combine constants: 13x - 23097 = 26x + 253058 + 74167", "Combine constants: 13x - 23097 = 26x + 327225", "Subtract 26x from both sides: -13x - 23097 = 327225", "Add 23097 to both sides: -13x = 350322", "Divide both sides by -13: x = -350322/13"], "final_answer": "-350322/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 2445) + 8688 = 26(x + 9733) + 74167", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2445, \"c\": 8688, \"d\": 26, \"e\": 9733, \"f\": 74167}", "seed": "9865909073785256484", "semantic_fingerprint": "sha256:06b3726c5826a745027e0c4ab96970507ac08ef29f5d92f5fa28256588412371", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001478", "prompt": "Evaluate: -47198 - (-26968 / (46979 / 4102) - (-8768))", "solution_steps": ["Divide: 46979 / 4102 = 46979/4102", "Divide: -26968 / (46979/4102) = -110622736/46979", "Subtract: -110622736/46979 - (-8768) = 301289136/46979", "Subtract: -47198 - 301289136/46979 = -2518603978/46979"], "final_answer": "-2518603978/46979", "answer_type": "rational", "kind": "expression", "math_text": "-47198 - (-26968 / (46979 / 4102) - (-8768))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -47198, \"b\": -26968, \"c\": 46979, \"d\": 4102, \"e\": -8768}", "seed": "9596872616583355560", "semantic_fingerprint": "sha256:a1fd0fa4ebe778c39770363e3651b3cd407e49253f30857e59643a810bceccc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001479", "prompt": "Calculate: 3907 * (7805 + (-5446)) - (-68754)", "solution_steps": ["Add: 7805 + (-5446) = 2359", "Multiply: 3907 * 2359 = 9216613", "Subtract: 9216613 - (-68754) = 9285367"], "final_answer": "9285367", "answer_type": "integer", "kind": "expression", "math_text": "3907 * (7805 + (-5446)) - (-68754)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3907, \"b\": 7805, \"c\": -5446, \"d\": -68754}", "seed": "11155871858636274276", "semantic_fingerprint": "sha256:bca0f85c60ed1676c316ffdae549a05e7eee3b9274fd5b7eb2c38ad48bd71ad6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001480", "prompt": "What value of x satisfies x + 74576 = 32x + 72065?", "solution_steps": ["Subtract 32x from both sides: -31x + 74576 = 72065", "Subtract 74576 from both sides: -31x = -2511", "Divide both sides by -31: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 74576 = 32x + 72065", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 74576, \"b\": 32, \"d\": 72065, \"x\": 81}", "seed": "9383496710464959321", "semantic_fingerprint": "sha256:980b975b484abfe75c84343bbbd1aaf4589806b79dbcd360de696d5d7e930860", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001481", "prompt": "Compute: 11597 - (-2235)", "solution_steps": ["Subtract: 11597 - (-2235) = 13832"], "final_answer": "13832", "answer_type": "integer", "kind": "expression", "math_text": "11597 - (-2235)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 11597, \"b\": -2235}", "seed": "5678956138726109501", "semantic_fingerprint": "sha256:8d46f027b10b2e38594ac2487ded7a4c5d8b2c7f31f2ff4b1b9d0e1034cb37e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001482", "prompt": "Solve the equation 40(x - 5072) + 6216 = x - 12585 for x.", "solution_steps": ["Expand: 40x - 202880 + 6216 = x - 12585", "Combine constants: 40x - 196664 = x - 12585", "Subtract x from both sides: 39x - 196664 = -12585", "Add 196664 to both sides: 39x = 184079", "Divide both sides by 39: x = 184079/39"], "final_answer": "184079/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 5072) + 6216 = x - 12585", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5072, \"c\": 6216, \"d\": 12585}", "seed": "3115595237998964071", "semantic_fingerprint": "sha256:f6698f75e72d010c3511c343deb664ea66a1b06ad82471f5931c7afe26daf3ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001483", "prompt": "What is 3190 * 27819?", "solution_steps": ["Multiply: 3190 * 27819 = 88742610"], "final_answer": "88742610", "answer_type": "integer", "kind": "expression", "math_text": "3190 * 27819", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3190, \"b\": 27819}", "seed": "11335112162526438424", "semantic_fingerprint": "sha256:f8a0a242a2ae0d4d18d32bbcce7b17a8fd97cc1d6e74c5a4fa4384281fb68dd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001484", "prompt": "Compute: 73081 / 5101", "solution_steps": ["Divide: 73081 / 5101 = 73081/5101"], "final_answer": "73081/5101", "answer_type": "rational", "kind": "expression", "math_text": "73081 / 5101", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73081, \"b\": 5101}", "seed": "4292148350712275675", "semantic_fingerprint": "sha256:9815f529b71d00bbf7214e2409f948944808a3e4c189452adac34e21c8d7a9c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001485", "prompt": "Compute: -29506 * 9060 / (-15914 - 2348)", "solution_steps": ["Multiply: -29506 * 9060 = -267324360", "Subtract: -15914 - 2348 = -18262", "Divide: -267324360 / (-18262) = 133662180/9131"], "final_answer": "133662180/9131", "answer_type": "rational", "kind": "expression", "math_text": "-29506 * 9060 / (-15914 - 2348)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29506, \"b\": 9060, \"c\": -15914, \"d\": 2348}", "seed": "3175635023711192911", "semantic_fingerprint": "sha256:f0b42ee078a112e536de8710118041180c809a2c910eda14808f5497dab2a7b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001486", "prompt": "Evaluate: 7515 + (-2487) - (-41900 - (-2332) + 7167)", "solution_steps": ["Add: 7515 + (-2487) = 5028", "Subtract: -41900 - (-2332) = -39568", "Add: -39568 + 7167 = -32401", "Subtract: 5028 - (-32401) = 37429"], "final_answer": "37429", "answer_type": "integer", "kind": "expression", "math_text": "7515 + (-2487) - (-41900 - (-2332) + 7167)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7515, \"b\": -2487, \"c\": -41900, \"d\": -2332, \"e\": 7167}", "seed": "14229343473107946672", "semantic_fingerprint": "sha256:40a53f3d7d33c944fdc3855f1fa26ae5b32bc975271c622939218cb47adb8e5e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001487", "prompt": "What value of x satisfies 36x + 43479 = 20x + 44055?", "solution_steps": ["Subtract 20x from both sides: 16x + 43479 = 44055", "Subtract 43479 from both sides: 16x = 576", "Divide both sides by 16: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 43479 = 20x + 44055", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 43479, \"c\": 20, \"e\": 44055, \"x\": 36}", "seed": "15397301936876729166", "semantic_fingerprint": "sha256:2263569100e1266aa016597a91112cd31c1b3fcc1ad5d304e980f751d9a616de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001488", "prompt": "Calculate: 2468 - (-7929 - (-7742))", "solution_steps": ["Subtract: -7929 - (-7742) = -187", "Subtract: 2468 - (-187) = 2655"], "final_answer": "2655", "answer_type": "integer", "kind": "expression", "math_text": "2468 - (-7929 - (-7742))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2468, \"b\": -7929, \"c\": -7742}", "seed": "17216104865270144596", "semantic_fingerprint": "sha256:1a4d1a1491f2fc5b18798bb9b409198c5ff82cddafcba1067682834bc1f5b9d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001489", "prompt": "Compute: (50710 - 2165 - 4049 - (-17812)) / 5330", "solution_steps": ["Subtract: 50710 - 2165 = 48545", "Subtract: 48545 - 4049 = 44496", "Subtract: 44496 - (-17812) = 62308", "Divide: 62308 / 5330 = 31154/2665"], "final_answer": "31154/2665", "answer_type": "rational", "kind": "expression", "math_text": "(50710 - 2165 - 4049 - (-17812)) / 5330", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 50710, \"b\": 2165, \"c\": 4049, \"d\": -17812, \"e\": 5330}", "seed": "3118266776023071703", "semantic_fingerprint": "sha256:91831b1502fc8f0574a4ccaebc40b24beab00fc1d2ee43133aec28bae87c5e4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001490", "prompt": "Compute: -1189 - (-5929) * (-4707 / (-7437) - 24043)", "solution_steps": ["Divide: -4707 / (-7437) = 1569/2479", "Subtract: 1569/2479 - 24043 = -59601028/2479", "Multiply: -5929 * (-59601028/2479) = 353374495012/2479", "Subtract: -1189 - 353374495012/2479 = -353377442543/2479"], "final_answer": "-353377442543/2479", "answer_type": "rational", "kind": "expression", "math_text": "-1189 - (-5929) * (-4707 / (-7437) - 24043)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (- (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1189, \"b\": -5929, \"c\": -4707, \"d\": -7437, \"e\": 24043}", "seed": "5726314132562251272", "semantic_fingerprint": "sha256:bac1726f256555ce18a33b7881a501b6bd2417456a4fe63ae5265beb82111d17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001491", "prompt": "Find x: x + 4160 = -14x", "solution_steps": ["Add 14x to both sides: 15x + 4160 = 0", "Subtract 4160 from both sides: 15x = -4160", "Divide both sides by 15: x = -832/3"], "final_answer": "-832/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4160 = -14x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4160, \"b\": -14}", "seed": "6250723072194306210", "semantic_fingerprint": "sha256:df77075701039b4217267b80385418515b9b5f039a5769ed7429ec3358d18897", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001492", "prompt": "Compute: 65284 - (-41804) / (-51895)", "solution_steps": ["Divide: -41804 / (-51895) = 41804/51895", "Subtract: 65284 - 41804/51895 = 3387871376/51895"], "final_answer": "3387871376/51895", "answer_type": "rational", "kind": "expression", "math_text": "65284 - (-41804) / (-51895)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65284, \"b\": -41804, \"c\": -51895}", "seed": "12868288490418297217", "semantic_fingerprint": "sha256:5d07be699e09a31e01d3d846c663f12e9ee32905df1408bc74d5f096b777e717", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001493", "prompt": "Solve the equation 13x + 85467 = -39(x + 16120) - 5708 for x.", "solution_steps": ["Expand: 13x + 85467 = -39x - 628680 - 5708", "Combine constants: 13x + 85467 = -39x - 634388", "Add 39x to both sides: 52x + 85467 = -634388", "Subtract 85467 from both sides: 52x = -719855", "Divide both sides by 52: x = -719855/52"], "final_answer": "-719855/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 85467 = -39(x + 16120) - 5708", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 85467, \"c\": -39, \"d\": 16120, \"e\": 5708}", "seed": "9182134912314478735", "semantic_fingerprint": "sha256:4edf37ce91e0c98e15cb573c0681e1755252ac692fa6dd1cb5b20377a96f4c5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001494", "prompt": "Calculate: -17420 + (-6896) - (-70781)", "solution_steps": ["Add: -17420 + (-6896) = -24316", "Subtract: -24316 - (-70781) = 46465"], "final_answer": "46465", "answer_type": "integer", "kind": "expression", "math_text": "-17420 + (-6896) - (-70781)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17420, \"b\": -6896, \"c\": -70781}", "seed": "4192880530156768471", "semantic_fingerprint": "sha256:88f1834c2ac90cc3e1b4b74ff4cf380ddf22a4629d31305883fbe91fdbe23933", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001495", "prompt": "Solve the equation 34(x + 6652) - 7531 = -21(x + 46779) + 99022 for x.", "solution_steps": ["Expand: 34x + 226168 - 7531 = -21(x + 46779) + 99022", "Expand: 34x + 226168 - 7531 = -21x - 982359 + 99022", "Combine constants: 34x + 218637 = -21x - 982359 + 99022", "Combine constants: 34x + 218637 = -21x - 883337", "Add 21x to both sides: 55x + 218637 = -883337", "Subtract 218637 from both sides: 55x = -1101974", "Divide both sides by 55: x = -1101974/55"], "final_answer": "-1101974/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 6652) - 7531 = -21(x + 46779) + 99022", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6652, \"c\": 7531, \"d\": -21, \"e\": 46779, \"f\": 99022}", "seed": "12739335108349768215", "semantic_fingerprint": "sha256:54b9a02427ea35665e06db2945798689e535da20fb384f27c78ae6053982efe2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001496", "prompt": "What is 7625 * 4471?", "solution_steps": ["Multiply: 7625 * 4471 = 34091375"], "final_answer": "34091375", "answer_type": "integer", "kind": "expression", "math_text": "7625 * 4471", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7625, \"b\": 4471}", "seed": "4162258095514453797", "semantic_fingerprint": "sha256:a16758b4e0668d6b5f1872c1eda5d88d7bad5784e18eddfe2e4b665a8818badc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001497", "prompt": "Calculate: 2363 - 6806 - (-6650)", "solution_steps": ["Subtract: 2363 - 6806 = -4443", "Subtract: -4443 - (-6650) = 2207"], "final_answer": "2207", "answer_type": "integer", "kind": "expression", "math_text": "2363 - 6806 - (-6650)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2363, \"b\": 6806, \"c\": -6650}", "seed": "3197673069514877794", "semantic_fingerprint": "sha256:f7d560788e12848aaa1ae44d267f54243055ca7b4318f475d1a36880420de043", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001498", "prompt": "Calculate: -92915 * 86627 - (5054 - (-55987))", "solution_steps": ["Multiply: -92915 * 86627 = -8048947705", "Subtract: 5054 - (-55987) = 61041", "Subtract: -8048947705 - 61041 = -8049008746"], "final_answer": "-8049008746", "answer_type": "integer", "kind": "expression", "math_text": "-92915 * 86627 - (5054 - (-55987))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -92915, \"b\": 86627, \"c\": 5054, \"d\": -55987}", "seed": "16583868507582410137", "semantic_fingerprint": "sha256:1f4edaf34f5dce2d613d453338aebfa05b9b59b2080e22921b5cdd74b0b0243d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001499", "prompt": "Find x: -24x + 7613 = 38(x - 67834) + 58598", "solution_steps": ["Expand: -24x + 7613 = 38x - 2577692 + 58598", "Combine constants: -24x + 7613 = 38x - 2519094", "Subtract 38x from both sides: -62x + 7613 = -2519094", "Subtract 7613 from both sides: -62x = -2526707", "Divide both sides by -62: x = 2526707/62"], "final_answer": "2526707/62", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x + 7613 = 38(x - 67834) + 58598", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 7613, \"c\": 38, \"d\": 67834, \"e\": 58598}", "seed": "17115432549723324717", "semantic_fingerprint": "sha256:5d9e65c6274493b3d939b26f576930b512d6e94920d3a6752039103335e7a17d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001500", "prompt": "Solve for x: 32x + 9785 = -34(x + 28921) - 4801", "solution_steps": ["Expand: 32x + 9785 = -34x - 983314 - 4801", "Combine constants: 32x + 9785 = -34x - 988115", "Add 34x to both sides: 66x + 9785 = -988115", "Subtract 9785 from both sides: 66x = -997900", "Divide both sides by 66: x = -498950/33"], "final_answer": "-498950/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 9785 = -34(x + 28921) - 4801", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 9785, \"c\": -34, \"d\": 28921, \"e\": 4801}", "seed": "16746765740533757729", "semantic_fingerprint": "sha256:5439f57b0f8ed53288c26b1495fd474b635921942e43c395f5af5052a4dabf4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001501", "prompt": "Evaluate: -6517 - 7894 - 8469 + (-9226)", "solution_steps": ["Subtract: -6517 - 7894 = -14411", "Subtract: -14411 - 8469 = -22880", "Add: -22880 + (-9226) = -32106"], "final_answer": "-32106", "answer_type": "integer", "kind": "expression", "math_text": "-6517 - 7894 - 8469 + (-9226)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6517, \"b\": 7894, \"c\": 8469, \"d\": -9226}", "seed": "15987574870159741746", "semantic_fingerprint": "sha256:50ddd05d8a58774c77169a1d9ec426919b1655c68b66e969fa13d01eabbabe5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001502", "prompt": "Solve the equation -21x = -37x for x.", "solution_steps": ["Add 37x to both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = -37x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": -37}", "seed": "13793464972240606478", "semantic_fingerprint": "sha256:f2e100059654d2683cf9a7de38ce7ae6eb0609c210089f8a9377fa7126427931", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001503", "prompt": "Solve for x: 33(x - 3953) - 5222 = 34x + 3557", "solution_steps": ["Expand: 33x - 130449 - 5222 = 34x + 3557", "Combine constants: 33x - 135671 = 34x + 3557", "Subtract 34x from both sides: -x - 135671 = 3557", "Add 135671 to both sides: -x = 139228", "Divide both sides by -1: x = -139228"], "final_answer": "-139228", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 3953) - 5222 = 34x + 3557", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3953, \"c\": 5222, \"d\": 34, \"e\": 3557}", "seed": "13092694051065770028", "semantic_fingerprint": "sha256:c506cc36e391be2b023bfb2f498a3028a4c548d96746661cb4d2bd39c873126d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001504", "prompt": "Calculate: 5184 - 6629 * 8210", "solution_steps": ["Multiply: 6629 * 8210 = 54424090", "Subtract: 5184 - 54424090 = -54418906"], "final_answer": "-54418906", "answer_type": "integer", "kind": "expression", "math_text": "5184 - 6629 * 8210", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5184, \"b\": 6629, \"c\": 8210}", "seed": "217167164918447304", "semantic_fingerprint": "sha256:599bc11a014d523f643140e94382ebc3c49a31a2044b08310ba8a9042380b19c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001505", "prompt": "Compute: 7137 - 99956 + (3738 + (-81592))", "solution_steps": ["Subtract: 7137 - 99956 = -92819", "Add: 3738 + (-81592) = -77854", "Add: -92819 + (-77854) = -170673"], "final_answer": "-170673", "answer_type": "integer", "kind": "expression", "math_text": "7137 - 99956 + (3738 + (-81592))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7137, \"b\": 99956, \"c\": 3738, \"d\": -81592}", "seed": "6882309309290033129", "semantic_fingerprint": "sha256:fcb2b6ee42342a0fa7cad9734ce9ef90c63df348e26c52cafc509c4fa34f2040", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001506", "prompt": "Compute: -6985 - 23528", "solution_steps": ["Subtract: -6985 - 23528 = -30513"], "final_answer": "-30513", "answer_type": "integer", "kind": "expression", "math_text": "-6985 - 23528", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6985, \"b\": 23528}", "seed": "2395247461214388720", "semantic_fingerprint": "sha256:0408a60831038260db3492f442cab3c665d4e6e6cc9bd904e51e17166fc91da7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001507", "prompt": "Find x: 17(x - 4751) + 54888 = -25454", "solution_steps": ["Expand: 17x - 80767 + 54888 = -25454", "Combine constants: 17x - 25879 = -25454", "Add 25879 to both sides: 17x = 425", "Divide both sides by 17: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 4751) + 54888 = -25454", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4751, \"c\": 54888, \"e\": -25454, \"x\": 25}", "seed": "7812593989432704750", "semantic_fingerprint": "sha256:288236849aa2e54dbb8941901116ce0ab0282dab7ded9c238f16d6ab3637ed81", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001508", "prompt": "Compute: 9141 / (-43470) - (9709 + (-8841))", "solution_steps": ["Divide: 9141 / (-43470) = -3047/14490", "Add: 9709 + (-8841) = 868", "Subtract: -3047/14490 - 868 = -12580367/14490"], "final_answer": "-12580367/14490", "answer_type": "rational", "kind": "expression", "math_text": "9141 / (-43470) - (9709 + (-8841))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9141, \"b\": -43470, \"c\": 9709, \"d\": -8841}", "seed": "13962264605368606644", "semantic_fingerprint": "sha256:7a90619edf1ed5a403157118b4a96cc0ddff29cecc37f2e1a64ef7686398eff6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001509", "prompt": "Compute: -11969 - (-96394 + (-9878)) + (50871 + 64575)", "solution_steps": ["Add: -96394 + (-9878) = -106272", "Subtract: -11969 - (-106272) = 94303", "Add: 50871 + 64575 = 115446", "Add: 94303 + 115446 = 209749"], "final_answer": "209749", "answer_type": "integer", "kind": "expression", "math_text": "-11969 - (-96394 + (-9878)) + (50871 + 64575)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -11969, \"b\": -96394, \"c\": -9878, \"d\": 50871, \"e\": 64575}", "seed": "3039125775748286002", "semantic_fingerprint": "sha256:951758042c51f7253a123de0f0abceea4b752901a7c9e2dd69a4c17f4b414335", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001510", "prompt": "Compute: 6934 * (4046 + (-92238))", "solution_steps": ["Add: 4046 + (-92238) = -88192", "Multiply: 6934 * (-88192) = -611523328"], "final_answer": "-611523328", "answer_type": "integer", "kind": "expression", "math_text": "6934 * (4046 + (-92238))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6934, \"b\": 4046, \"c\": -92238}", "seed": "9117123349364465762", "semantic_fingerprint": "sha256:e927fc6a0f57271b929287cd17823546f93d2b892e4f4c3e5232560acbd8d033", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001511", "prompt": "Compute: 8428 - (-6553)", "solution_steps": ["Subtract: 8428 - (-6553) = 14981"], "final_answer": "14981", "answer_type": "integer", "kind": "expression", "math_text": "8428 - (-6553)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8428, \"b\": -6553}", "seed": "6573332309135196931", "semantic_fingerprint": "sha256:6f99859f7364322923471e16a648cf074e5ccada7d3a8cc9db5b6d10724fb209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001512", "prompt": "What value of x satisfies -40x - 3281 = x - 9959?", "solution_steps": ["Subtract x from both sides: -41x - 3281 = -9959", "Add 3281 to both sides: -41x = -6678", "Divide both sides by -41: x = 6678/41"], "final_answer": "6678/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40x - 3281 = x - 9959", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 3281, \"c\": 9959}", "seed": "3403222188075235792", "semantic_fingerprint": "sha256:da41edc56d4ae2a274964c62b73861e93f0d5bea1ec6f583b58ad35ff9419c61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001513", "prompt": "Calculate: -2872 - (-59801) * 8821", "solution_steps": ["Multiply: -59801 * 8821 = -527504621", "Subtract: -2872 - (-527504621) = 527501749"], "final_answer": "527501749", "answer_type": "integer", "kind": "expression", "math_text": "-2872 - (-59801) * 8821", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2872, \"b\": -59801, \"c\": 8821}", "seed": "11014255748242716904", "semantic_fingerprint": "sha256:01e17abbdd8d03658b51cbc6dee4ca6a21ca37409f436ffcd3b7d35a70c36e54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001514", "prompt": "Find x: -19(x - 1834) + 15175 = 38(x - 65486) - 5102", "solution_steps": ["Expand: -19x + 34846 + 15175 = 38(x - 65486) - 5102", "Expand: -19x + 34846 + 15175 = 38x - 2488468 - 5102", "Combine constants: -19x + 50021 = 38x - 2488468 - 5102", "Combine constants: -19x + 50021 = 38x - 2493570", "Subtract 38x from both sides: -57x + 50021 = -2493570", "Subtract 50021 from both sides: -57x = -2543591", "Divide both sides by -57: x = 2543591/57"], "final_answer": "2543591/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 1834) + 15175 = 38(x - 65486) - 5102", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1834, \"c\": 15175, \"d\": 38, \"e\": 65486, \"f\": 5102}", "seed": "5266015500802002729", "semantic_fingerprint": "sha256:5ca54b8ba26682972b5604f1f4405363b945866f815a30d87ad799cb102bd301", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001515", "prompt": "What value of x satisfies 32x + 8639 = x + 2718?", "solution_steps": ["Subtract x from both sides: 31x + 8639 = 2718", "Subtract 8639 from both sides: 31x = -5921", "Divide both sides by 31: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 8639 = x + 2718", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8639, \"d\": 2718, \"x\": -191}", "seed": "2199200426711271727", "semantic_fingerprint": "sha256:78bc2d5158d0a254eb52d2b452f8c7b3e6a48b6be4855845f7e8de6b1973f6bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001516", "prompt": "Compute: (5523 + 37245 + (-8766) + 16976) / (-7378)", "solution_steps": ["Add: 5523 + 37245 = 42768", "Add: 42768 + (-8766) = 34002", "Add: 34002 + 16976 = 50978", "Divide: 50978 / (-7378) = -25489/3689"], "final_answer": "-25489/3689", "answer_type": "rational", "kind": "expression", "math_text": "(5523 + 37245 + (-8766) + 16976) / (-7378)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5523, \"b\": 37245, \"c\": -8766, \"d\": 16976, \"e\": -7378}", "seed": "1089037072961169563", "semantic_fingerprint": "sha256:f8a4ffd3bb5f3bdf89d43b9becaf66209492603b1e4bb280e7250745c4dd4fad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001517", "prompt": "Evaluate: (-9717 + 3066 * 1757) * (-4541)", "solution_steps": ["Multiply: 3066 * 1757 = 5386962", "Add: -9717 + 5386962 = 5377245", "Multiply: 5377245 * (-4541) = -24418069545"], "final_answer": "-24418069545", "answer_type": "integer", "kind": "expression", "math_text": "(-9717 + 3066 * 1757) * (-4541)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9717, \"b\": 3066, \"c\": 1757, \"d\": -4541}", "seed": "10548588635614047386", "semantic_fingerprint": "sha256:8a5ca80f2d13a22e9cb010e646c067056da9553802d3afd9b1f36943a09f23d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001518", "prompt": "Evaluate: 69468 - 5556", "solution_steps": ["Subtract: 69468 - 5556 = 63912"], "final_answer": "63912", "answer_type": "integer", "kind": "expression", "math_text": "69468 - 5556", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69468, \"b\": 5556}", "seed": "18174184854418609034", "semantic_fingerprint": "sha256:e6ffd032e8e593fe07e093b6cc1ce66cc629cefed21f18bc515b7705dac5ef5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001519", "prompt": "What is 3901 + (1661 - 91728 / (-47062))?", "solution_steps": ["Divide: 91728 / (-47062) = -45864/23531", "Subtract: 1661 - (-45864/23531) = 39130855/23531", "Add: 3901 + 39130855/23531 = 130925286/23531"], "final_answer": "130925286/23531", "answer_type": "rational", "kind": "expression", "math_text": "3901 + (1661 - 91728 / (-47062))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3901, \"b\": 1661, \"c\": 91728, \"d\": -47062}", "seed": "4500415040422727545", "semantic_fingerprint": "sha256:ca338de8749c7a229a470f3bf4ab8fddb74d3da84f19c1a867e169933460780d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001520", "prompt": "Calculate: 12951 * (-7637 - (-4495 + 61778))", "solution_steps": ["Add: -4495 + 61778 = 57283", "Subtract: -7637 - 57283 = -64920", "Multiply: 12951 * (-64920) = -840778920"], "final_answer": "-840778920", "answer_type": "integer", "kind": "expression", "math_text": "12951 * (-7637 - (-4495 + 61778))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 12951, \"b\": -7637, \"c\": -4495, \"d\": 61778}", "seed": "5515501955042565452", "semantic_fingerprint": "sha256:7d1b7b911903ab187ecd24cd4398f623f59e42408b412c6404aa95bd5e2098da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001521", "prompt": "Solve for x: 17(x + 2194) - 8753 = 4782", "solution_steps": ["Expand: 17x + 37298 - 8753 = 4782", "Combine constants: 17x + 28545 = 4782", "Subtract 28545 from both sides: 17x = -23763", "Divide both sides by 17: x = -23763/17"], "final_answer": "-23763/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 2194) - 8753 = 4782", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2194, \"c\": 8753, \"d\": 4782}", "seed": "15578527078185070669", "semantic_fingerprint": "sha256:567b8405d909811110bdee6bbd2286c6326b0fba2e9aff01fa25bd4cdc7a73e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001522", "prompt": "Solve for x: 20(x - 2995) + 3802 = x - 54787", "solution_steps": ["Expand: 20x - 59900 + 3802 = x - 54787", "Combine constants: 20x - 56098 = x - 54787", "Subtract x from both sides: 19x - 56098 = -54787", "Add 56098 to both sides: 19x = 1311", "Divide both sides by 19: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 2995) + 3802 = x - 54787", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 2995, \"c\": 3802, \"e\": -54787, \"x\": 69}", "seed": "8850420346875747109", "semantic_fingerprint": "sha256:76877445c132d1b6fa57cebcc10af550ad975846307f21b56d65052e6593d8ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001523", "prompt": "What is 8423 + 7390 - 34840?", "solution_steps": ["Add: 8423 + 7390 = 15813", "Subtract: 15813 - 34840 = -19027"], "final_answer": "-19027", "answer_type": "integer", "kind": "expression", "math_text": "8423 + 7390 - 34840", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8423, \"b\": 7390, \"c\": 34840}", "seed": "13176538860695308801", "semantic_fingerprint": "sha256:c1121f6e66c65dcc5b4ccba1f6c9e6f4c0e10188ce073469c9c585a6cfa748ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001524", "prompt": "Calculate: 91608 + (-72182) + (-8658)", "solution_steps": ["Add: 91608 + (-72182) = 19426", "Add: 19426 + (-8658) = 10768"], "final_answer": "10768", "answer_type": "integer", "kind": "expression", "math_text": "91608 + (-72182) + (-8658)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91608, \"b\": -72182, \"c\": -8658}", "seed": "1671837101740492600", "semantic_fingerprint": "sha256:6166cd0795a7dc57484922e18b71168dda6ec1c80f399a86ddf7337b49ebd011", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001525", "prompt": "Solve the equation 40(x + 7414) + 4735 = 16x + 5838 for x.", "solution_steps": ["Expand: 40x + 296560 + 4735 = 16x + 5838", "Combine constants: 40x + 301295 = 16x + 5838", "Subtract 16x from both sides: 24x + 301295 = 5838", "Subtract 301295 from both sides: 24x = -295457", "Divide both sides by 24: x = -295457/24"], "final_answer": "-295457/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 7414) + 4735 = 16x + 5838", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 7414, \"c\": 4735, \"d\": 16, \"e\": 5838}", "seed": "8603485302371297511", "semantic_fingerprint": "sha256:f59b71fec69d60dab0e340a6958ecf0b584285757712b1bc06328c399a7dbaa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001526", "prompt": "What value of x satisfies 16x = 24(x - 2570) + 61008?", "solution_steps": ["Expand: 16x = 24x - 61680 + 61008", "Combine constants: 16x = 24x - 672", "Subtract 24x from both sides: -8x = -672", "Divide both sides by -8: x = 84"], "final_answer": "84", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = 24(x - 2570) + 61008", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 24, \"c\": 2570, \"e\": 61008, \"x\": 84}", "seed": "11603484040162445061", "semantic_fingerprint": "sha256:70c8c450cb425459bc3ca3a06d35944e1ca9843c40f437c241a05e58c934a42a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001527", "prompt": "What value of x satisfies -18(x - 1653) = 23x + 25941?", "solution_steps": ["Expand: -18x + 29754 = 23x + 25941", "Subtract 23x from both sides: -41x + 29754 = 25941", "Subtract 29754 from both sides: -41x = -3813", "Divide both sides by -41: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 1653) = 23x + 25941", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 1653, \"c\": 23, \"e\": 25941, \"x\": 93}", "seed": "18187701170458868175", "semantic_fingerprint": "sha256:1ccee8e5e42834d787127ace03466d8996b975e5761870b666fa3d0ff99d88b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001528", "prompt": "What value of x satisfies 26x - 7008 = 4678?", "solution_steps": ["Add 7008 to both sides: 26x = 11686", "Divide both sides by 26: x = 5843/13"], "final_answer": "5843/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x - 7008 = 4678", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 7008, \"c\": 4678}", "seed": "9746898028976555975", "semantic_fingerprint": "sha256:cf5aeb9a2b73d66d6ecb2f45846fa55a16fbaefb02ee53041949f61c15de3265", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001529", "prompt": "Solve the equation 33(x + 4571) + 9643 = 37(x + 43947) for x.", "solution_steps": ["Expand: 33x + 150843 + 9643 = 37(x + 43947)", "Expand: 33x + 150843 + 9643 = 37x + 1626039", "Combine constants: 33x + 160486 = 37x + 1626039", "Subtract 37x from both sides: -4x + 160486 = 1626039", "Subtract 160486 from both sides: -4x = 1465553", "Divide both sides by -4: x = -1465553/4"], "final_answer": "-1465553/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 4571) + 9643 = 37(x + 43947)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 4571, \"c\": 9643, \"d\": 37, \"e\": 43947}", "seed": "9761500532355884198", "semantic_fingerprint": "sha256:882f3ce8aeb6a77d9257e9ef5216539ca8917f21d9b617b6dc18d03a16709e1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001530", "prompt": "Find x: 14(x - 4071) + 8496 = 21(x - 3988) + 34760", "solution_steps": ["Expand: 14x - 56994 + 8496 = 21(x - 3988) + 34760", "Expand: 14x - 56994 + 8496 = 21x - 83748 + 34760", "Combine constants: 14x - 48498 = 21x - 83748 + 34760", "Combine constants: 14x - 48498 = 21x - 48988", "Subtract 21x from both sides: -7x - 48498 = -48988", "Add 48498 to both sides: -7x = -490", "Divide both sides by -7: x = 70"], "final_answer": "70", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 4071) + 8496 = 21(x - 3988) + 34760", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4071, \"c\": 8496, \"d\": 21, \"e\": 3988, \"g\": 34760, \"x\": 70}", "seed": "8795043048072298807", "semantic_fingerprint": "sha256:a96e0b5ee04bf36b44fe8538e01f71246f52f0bbad2a5f993c0f4e9d4c42d824", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001531", "prompt": "Compute: 8768 + (-12961) * (-9489)", "solution_steps": ["Multiply: -12961 * (-9489) = 122986929", "Add: 8768 + 122986929 = 122995697"], "final_answer": "122995697", "answer_type": "integer", "kind": "expression", "math_text": "8768 + (-12961) * (-9489)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8768, \"b\": -12961, \"c\": -9489}", "seed": "3750251116138885463", "semantic_fingerprint": "sha256:410fdad33eee5a090ee648bc2d7338f46e98bb2347029c377ceac86d0e0dd346", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001532", "prompt": "Solve the equation -34x + 6436 = -26(x + 2989) + 85206 for x.", "solution_steps": ["Expand: -34x + 6436 = -26x - 77714 + 85206", "Combine constants: -34x + 6436 = -26x + 7492", "Add 26x to both sides: -8x + 6436 = 7492", "Subtract 6436 from both sides: -8x = 1056", "Divide both sides by -8: x = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x + 6436 = -26(x + 2989) + 85206", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 6436, \"c\": -26, \"d\": 2989, \"f\": 85206, \"x\": -132}", "seed": "5295410312272756549", "semantic_fingerprint": "sha256:1cc3c1e4316cc35386e95d0b30ec1c2f2e1f908317cdf55917d222372b8cf009", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001533", "prompt": "Solve the equation 13x + 2797 = x + 2185 for x.", "solution_steps": ["Subtract x from both sides: 12x + 2797 = 2185", "Subtract 2797 from both sides: 12x = -612", "Divide both sides by 12: x = -51"], "final_answer": "-51", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 2797 = x + 2185", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2797, \"d\": 2185, \"x\": -51}", "seed": "3837769124815248532", "semantic_fingerprint": "sha256:40ab726cec372d05474e1bb59b1ebf35598bccde6e8a0ea1d44b098bc5cad5d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001534", "prompt": "Evaluate: 14714 * (-64722 / (-68095))", "solution_steps": ["Divide: -64722 / (-68095) = 64722/68095", "Multiply: 14714 * (64722/68095) = 952319508/68095"], "final_answer": "952319508/68095", "answer_type": "rational", "kind": "expression", "math_text": "14714 * (-64722 / (-68095))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14714, \"b\": -64722, \"c\": -68095}", "seed": "848610625513479623", "semantic_fingerprint": "sha256:eb06a00712aca174f2f542df5d2063b49a5daba01b683d89a92d2473588b8cc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001535", "prompt": "Compute: -9810 - (-19875)", "solution_steps": ["Subtract: -9810 - (-19875) = 10065"], "final_answer": "10065", "answer_type": "integer", "kind": "expression", "math_text": "-9810 - (-19875)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9810, \"b\": -19875}", "seed": "3119524901892726459", "semantic_fingerprint": "sha256:00dbf6beed05f7f56128acfaf9f9561989fc9f5091cdb72345ed87d84cb9ea7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001536", "prompt": "Calculate: -42249 + (-4098) - (-7493) / 99609", "solution_steps": ["Add: -42249 + (-4098) = -46347", "Divide: -7493 / 99609 = -7493/99609", "Subtract: -46347 - (-7493/99609) = -4616570830/99609"], "final_answer": "-4616570830/99609", "answer_type": "rational", "kind": "expression", "math_text": "-42249 + (-4098) - (-7493) / 99609", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -42249, \"b\": -4098, \"c\": -7493, \"d\": 99609}", "seed": "7963173565964486223", "semantic_fingerprint": "sha256:3eba2d6168a1d8e731d97126f0165d98a18a1ae421fab3bf87e22efb6198c143", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001537", "prompt": "What is 5661 / 91252 - 18172?", "solution_steps": ["Divide: 5661 / 91252 = 5661/91252", "Subtract: 5661/91252 - 18172 = -1658225683/91252"], "final_answer": "-1658225683/91252", "answer_type": "rational", "kind": "expression", "math_text": "5661 / 91252 - 18172", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5661, \"b\": 91252, \"c\": 18172}", "seed": "8085835192176883015", "semantic_fingerprint": "sha256:88e5c14560cbf8323e6185f8f04a1f3aba108dcad6db492ff6b1ba0b62c7384d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001538", "prompt": "What is 8923 + (-8794) / 88190?", "solution_steps": ["Divide: -8794 / 88190 = -4397/44095", "Add: 8923 + (-4397/44095) = 393455288/44095"], "final_answer": "393455288/44095", "answer_type": "rational", "kind": "expression", "math_text": "8923 + (-8794) / 88190", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8923, \"b\": -8794, \"c\": 88190}", "seed": "1257172303044978644", "semantic_fingerprint": "sha256:541d55a67a545745816f6e0c3962d9e2d2c59a082e9d7163b4004c94c1f02ff1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001539", "prompt": "Evaluate: 1560 * 78121 / (-96540)", "solution_steps": ["Multiply: 1560 * 78121 = 121868760", "Divide: 121868760 / (-96540) = -2031146/1609"], "final_answer": "-2031146/1609", "answer_type": "rational", "kind": "expression", "math_text": "1560 * 78121 / (-96540)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1560, \"b\": 78121, \"c\": -96540}", "seed": "16463954124778650253", "semantic_fingerprint": "sha256:40f4a648588deab92399d5c538c809ac52a1888f81ef167245cb75ef46211fdf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001540", "prompt": "Calculate: 7009 / (-51380 + 5641)", "solution_steps": ["Add: -51380 + 5641 = -45739", "Divide: 7009 / (-45739) = -7009/45739"], "final_answer": "-7009/45739", "answer_type": "rational", "kind": "expression", "math_text": "7009 / (-51380 + 5641)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7009, \"b\": -51380, \"c\": 5641}", "seed": "16967009443761273811", "semantic_fingerprint": "sha256:9243b51787b980a1ea185f62ecdb96a9542dfc4d89166ba2045fc56ea0939ebf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001541", "prompt": "Compute: -8382 / 14188", "solution_steps": ["Divide: -8382 / 14188 = -4191/7094"], "final_answer": "-4191/7094", "answer_type": "rational", "kind": "expression", "math_text": "-8382 / 14188", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8382, \"b\": 14188}", "seed": "3115735904146783213", "semantic_fingerprint": "sha256:f8bf287cedbb4e52a391bdea9cfcb7da784d8887dfab8a688c8ad1e3099ac11b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001542", "prompt": "Solve for x: 14(x - 7049) = 32(x - 30760) + 5245", "solution_steps": ["Expand: 14x - 98686 = 32(x - 30760) + 5245", "Expand: 14x - 98686 = 32x - 984320 + 5245", "Combine constants: 14x - 98686 = 32x - 979075", "Subtract 32x from both sides: -18x - 98686 = -979075", "Add 98686 to both sides: -18x = -880389", "Divide both sides by -18: x = 97821/2"], "final_answer": "97821/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 7049) = 32(x - 30760) + 5245", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7049, \"c\": 32, \"d\": 30760, \"e\": 5245}", "seed": "10793450642560471691", "semantic_fingerprint": "sha256:c949e36708e2759ec95ce1ead99ce97898dcee119e3c8eb0b712e72b9a17a57f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001543", "prompt": "Compute: 7092 + 24641 - 9687 / (75579 / 77023)", "solution_steps": ["Add: 7092 + 24641 = 31733", "Divide: 75579 / 77023 = 75579/77023", "Divide: 9687 / (75579/77023) = 248707267/25193", "Subtract: 31733 - 248707267/25193 = 550742202/25193"], "final_answer": "550742202/25193", "answer_type": "rational", "kind": "expression", "math_text": "7092 + 24641 - 9687 / (75579 / 77023)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7092, \"b\": 24641, \"c\": 9687, \"d\": 75579, \"e\": 77023}", "seed": "8809646048718655020", "semantic_fingerprint": "sha256:243abea78c085d5b8fa85fa857acdaa08032c3197f15794d29a31bdc7189b71b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001544", "prompt": "Solve for x: 38(x + 97069) = 24(x - 1636)", "solution_steps": ["Expand: 38x + 3688622 = 24(x - 1636)", "Expand: 38x + 3688622 = 24x - 39264", "Subtract 24x from both sides: 14x + 3688622 = -39264", "Subtract 3688622 from both sides: 14x = -3727886", "Divide both sides by 14: x = -1863943/7"], "final_answer": "-1863943/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 97069) = 24(x - 1636)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 97069, \"c\": 24, \"d\": 1636}", "seed": "17265391472711894239", "semantic_fingerprint": "sha256:7a157a36872a08c800ba94584b2c64e412be6461006219f38f2060ec85bad562", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001545", "prompt": "Evaluate: -67774 - (-3229) * (-2126) - 49544 - (-58326) + 2605", "solution_steps": ["Multiply: -3229 * (-2126) = 6864854", "Subtract: -67774 - 6864854 = -6932628", "Subtract: -6932628 - 49544 = -6982172", "Subtract: -6982172 - (-58326) = -6923846", "Add: -6923846 + 2605 = -6921241"], "final_answer": "-6921241", "answer_type": "integer", "kind": "expression", "math_text": "-67774 - (-3229) * (-2126) - 49544 - (-58326) + 2605", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (- n (* n n)) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -67774, \"b\": -3229, \"c\": -2126, \"d\": 49544, \"e\": -58326, \"f\": 2605}", "seed": "11589393076032184282", "semantic_fingerprint": "sha256:58339aa12fd8490f603c0282bd1099230b28cdbb3f848441e66189ac0db2d2a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001546", "prompt": "Compute: -1363 + (-17845)", "solution_steps": ["Add: -1363 + (-17845) = -19208"], "final_answer": "-19208", "answer_type": "integer", "kind": "expression", "math_text": "-1363 + (-17845)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1363, \"b\": -17845}", "seed": "3619195369770303774", "semantic_fingerprint": "sha256:994e9b2c5b333767642c062b4ecfb227a515162cdc279ec23d7e26592f686db1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001547", "prompt": "Calculate: 8903 / (9478 + (-8608 + (-3287))) * (-5895)", "solution_steps": ["Add: -8608 + (-3287) = -11895", "Add: 9478 + (-11895) = -2417", "Divide: 8903 / (-2417) = -8903/2417", "Multiply: (-8903/2417) * (-5895) = 52483185/2417"], "final_answer": "52483185/2417", "answer_type": "rational", "kind": "expression", "math_text": "8903 / (9478 + (-8608 + (-3287))) * (-5895)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8903, \"b\": 9478, \"c\": -8608, \"d\": -3287, \"e\": -5895}", "seed": "6298803157248303457", "semantic_fingerprint": "sha256:cb013b03492efbdf85dbf45d76ef14d6e5ec0afa23f68c5ac7d8bf233d18bbed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001548", "prompt": "What is (-5984 * 41647 - (-3858) * 6803 - 47012) * (-2955)?", "solution_steps": ["Multiply: -5984 * 41647 = -249215648", "Multiply: -3858 * 6803 = -26245974", "Subtract: -249215648 - (-26245974) = -222969674", "Subtract: -222969674 - 47012 = -223016686", "Multiply: -223016686 * (-2955) = 659014307130"], "final_answer": "659014307130", "answer_type": "integer", "kind": "expression", "math_text": "(-5984 * 41647 - (-3858) * 6803 - 47012) * (-2955)", "variable": null, "family": "expression_5op", "shape": "(* (- (- (* n n) (* n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5984, \"b\": 41647, \"c\": -3858, \"d\": 6803, \"e\": 47012, \"f\": -2955}", "seed": "13697386710273613744", "semantic_fingerprint": "sha256:7c0206dcd96cb556d10ee558d820d513bec4bae481ce0c33858aa02ec09a2efc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001549", "prompt": "Compute: (56074 - 70908) / (-6870)", "solution_steps": ["Subtract: 56074 - 70908 = -14834", "Divide: -14834 / (-6870) = 7417/3435"], "final_answer": "7417/3435", "answer_type": "rational", "kind": "expression", "math_text": "(56074 - 70908) / (-6870)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56074, \"b\": 70908, \"c\": -6870}", "seed": "5579095413329922573", "semantic_fingerprint": "sha256:9ba94aa946dbbd1c32bcdf0e3cd1cb425a9a672234c105d7f640a26a4ddbe568", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001550", "prompt": "Calculate: -6793 + (69927 - 18189 * (-61336 - (-5784)))", "solution_steps": ["Subtract: -61336 - (-5784) = -55552", "Multiply: 18189 * (-55552) = -1010435328", "Subtract: 69927 - (-1010435328) = 1010505255", "Add: -6793 + 1010505255 = 1010498462"], "final_answer": "1010498462", "answer_type": "integer", "kind": "expression", "math_text": "-6793 + (69927 - 18189 * (-61336 - (-5784)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6793, \"b\": 69927, \"c\": 18189, \"d\": -61336, \"e\": -5784}", "seed": "6321590866034978793", "semantic_fingerprint": "sha256:3d00f0b6bcc7fb54c91e5de019841e9f79fcdd4c0646e2274f57308150eaaefd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001551", "prompt": "Find x: 25(x + 3812) = 27(x - 7646)", "solution_steps": ["Expand: 25x + 95300 = 27(x - 7646)", "Expand: 25x + 95300 = 27x - 206442", "Subtract 27x from both sides: -2x + 95300 = -206442", "Subtract 95300 from both sides: -2x = -301742", "Divide both sides by -2: x = 150871"], "final_answer": "150871", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 3812) = 27(x - 7646)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3812, \"c\": 27, \"d\": 7646}", "seed": "13927211379416363411", "semantic_fingerprint": "sha256:293ba605e168d1cc16c5c92e57249ca63fcafd941f1aeda88c4b1fa31acc18b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001552", "prompt": "Evaluate: 85971 / 44721 * 2995", "solution_steps": ["Divide: 85971 / 44721 = 28657/14907", "Multiply: (28657/14907) * 2995 = 85827715/14907"], "final_answer": "85827715/14907", "answer_type": "rational", "kind": "expression", "math_text": "85971 / 44721 * 2995", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85971, \"b\": 44721, \"c\": 2995}", "seed": "17019909325499928072", "semantic_fingerprint": "sha256:e5c99c23b71863de220916d33222aff754fd76496140487a24e660c72e6a5bae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001553", "prompt": "What value of x satisfies x + 36189 = -20x - 88101?", "solution_steps": ["Add 20x to both sides: 21x + 36189 = -88101", "Subtract 36189 from both sides: 21x = -124290", "Divide both sides by 21: x = -41430/7"], "final_answer": "-41430/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 36189 = -20x - 88101", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36189, \"b\": -20, \"c\": 88101}", "seed": "2775341721629293239", "semantic_fingerprint": "sha256:33b29f96ab529a40b126c992039ee5c40eda057be0d5a9a55a0ee9c77cc3cacd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001554", "prompt": "What is 27082 / (-1774) + (66551 + (-24464))?", "solution_steps": ["Divide: 27082 / (-1774) = -13541/887", "Add: 66551 + (-24464) = 42087", "Add: -13541/887 + 42087 = 37317628/887"], "final_answer": "37317628/887", "answer_type": "rational", "kind": "expression", "math_text": "27082 / (-1774) + (66551 + (-24464))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27082, \"b\": -1774, \"c\": 66551, \"d\": -24464}", "seed": "18261729348171126904", "semantic_fingerprint": "sha256:0515e66e272de6b7baee91dcd8cd67b965fab7ef08bd2c5d05e717da53687a12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001555", "prompt": "What is 7164 - 52802 * (-5726)?", "solution_steps": ["Multiply: 52802 * (-5726) = -302344252", "Subtract: 7164 - (-302344252) = 302351416"], "final_answer": "302351416", "answer_type": "integer", "kind": "expression", "math_text": "7164 - 52802 * (-5726)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7164, \"b\": 52802, \"c\": -5726}", "seed": "1735315748166523221", "semantic_fingerprint": "sha256:527700c0935346dd90a5f73fe67853064aba929f53760a12ba350a1c186d116d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001556", "prompt": "Compute: -1890 / 1222", "solution_steps": ["Divide: -1890 / 1222 = -945/611"], "final_answer": "-945/611", "answer_type": "rational", "kind": "expression", "math_text": "-1890 / 1222", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1890, \"b\": 1222}", "seed": "11817316753959493007", "semantic_fingerprint": "sha256:13aa91d7ff1a7a06087e4d2c99121d46e624d139771f5782e7f4628f3b70c61e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001557", "prompt": "Solve the equation -27(x + 9696) = 15x for x.", "solution_steps": ["Expand: -27x - 261792 = 15x", "Subtract 15x from both sides: -42x - 261792 = 0", "Add 261792 to both sides: -42x = 261792", "Divide both sides by -42: x = -43632/7"], "final_answer": "-43632/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x + 9696) = 15x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 9696, \"c\": 15}", "seed": "16972318531079744904", "semantic_fingerprint": "sha256:472cf8c3b5826adf699614f1aec713c90588e2cb133d16733da20f7b346c59ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001558", "prompt": "What is 6605 / (-68040) * (7836 - (-4619))?", "solution_steps": ["Divide: 6605 / (-68040) = -1321/13608", "Subtract: 7836 - (-4619) = 12455", "Multiply: (-1321/13608) * 12455 = -16453055/13608"], "final_answer": "-16453055/13608", "answer_type": "rational", "kind": "expression", "math_text": "6605 / (-68040) * (7836 - (-4619))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6605, \"b\": -68040, \"c\": 7836, \"d\": -4619}", "seed": "15321903840264717218", "semantic_fingerprint": "sha256:32d6ad3da9789c6b4f1bf9adfb3fdc5a636270010bb19aad6a6bd22b58c060c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001559", "prompt": "What value of x satisfies 34(x - 5521) - 5619 = x - 62688?", "solution_steps": ["Expand: 34x - 187714 - 5619 = x - 62688", "Combine constants: 34x - 193333 = x - 62688", "Subtract x from both sides: 33x - 193333 = -62688", "Add 193333 to both sides: 33x = 130645", "Divide both sides by 33: x = 130645/33"], "final_answer": "130645/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 5521) - 5619 = x - 62688", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 5521, \"c\": 5619, \"d\": 62688}", "seed": "5208297177302466485", "semantic_fingerprint": "sha256:d85b1e6a6c986ef78e57b885d3a2525b0e85fbd351178205fe0246f22faab759", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001560", "prompt": "Calculate: -1981 / (-3858) - (-7876)", "solution_steps": ["Divide: -1981 / (-3858) = 1981/3858", "Subtract: 1981/3858 - (-7876) = 30387589/3858"], "final_answer": "30387589/3858", "answer_type": "rational", "kind": "expression", "math_text": "-1981 / (-3858) - (-7876)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1981, \"b\": -3858, \"c\": -7876}", "seed": "724253671197285914", "semantic_fingerprint": "sha256:fed3ebaff77213b248cc164fdc5a6337c972d8eb9ac63d166f25d2c08b2dced5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001561", "prompt": "Solve the equation 25(x - 2161) + 84626 = x + 29977 for x.", "solution_steps": ["Expand: 25x - 54025 + 84626 = x + 29977", "Combine constants: 25x + 30601 = x + 29977", "Subtract x from both sides: 24x + 30601 = 29977", "Subtract 30601 from both sides: 24x = -624", "Divide both sides by 24: x = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 2161) + 84626 = x + 29977", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2161, \"c\": 84626, \"e\": 29977, \"x\": -26}", "seed": "15557681571575307211", "semantic_fingerprint": "sha256:fdf1fefada7007f685faf2a7b5632cb0674cb5cdc0c516da51e5286bc9c46f5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001562", "prompt": "Calculate: 7817 + (35597 - 21930) / 7327", "solution_steps": ["Subtract: 35597 - 21930 = 13667", "Divide: 13667 / 7327 = 13667/7327", "Add: 7817 + 13667/7327 = 57288826/7327"], "final_answer": "57288826/7327", "answer_type": "rational", "kind": "expression", "math_text": "7817 + (35597 - 21930) / 7327", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7817, \"b\": 35597, \"c\": 21930, \"d\": 7327}", "seed": "6603153745821440882", "semantic_fingerprint": "sha256:bc74745e2326b56c6f8f81792884d2c0f5239d33f5cfe531371be9f7f1a8fb64", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001563", "prompt": "What is -42879 * 1763 - (-9895)?", "solution_steps": ["Multiply: -42879 * 1763 = -75595677", "Subtract: -75595677 - (-9895) = -75585782"], "final_answer": "-75585782", "answer_type": "integer", "kind": "expression", "math_text": "-42879 * 1763 - (-9895)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -42879, \"b\": 1763, \"c\": -9895}", "seed": "7258351119690422614", "semantic_fingerprint": "sha256:e2d4b4ea36bf19c863e3c4127c4e19b2c007b44a08d514b9e37f47c7e3f253f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001564", "prompt": "Find x: 25x + 5258 = 8533", "solution_steps": ["Subtract 5258 from both sides: 25x = 3275", "Divide both sides by 25: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 5258 = 8533", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 5258, \"d\": 8533, \"x\": 131}", "seed": "10555323064673811044", "semantic_fingerprint": "sha256:0e2182abd1de9c3882c4012f0c526c38181194159f80d1d177afb9dfdd055dcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001565", "prompt": "What value of x satisfies 28(x + 69663) = 24x?", "solution_steps": ["Expand: 28x + 1950564 = 24x", "Subtract 24x from both sides: 4x + 1950564 = 0", "Subtract 1950564 from both sides: 4x = -1950564", "Divide both sides by 4: x = -487641"], "final_answer": "-487641", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 69663) = 24x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 69663, \"c\": 24}", "seed": "9002965401177836480", "semantic_fingerprint": "sha256:bd7b18f069965fbcf878e26cea3427916fab2e4ae8a92fb8d33ed6d4d8c80490", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001566", "prompt": "Find x: x - 21579 = -21731", "solution_steps": ["Add 21579 to both sides: x = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 21579 = -21731", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21579, \"c\": -21731, \"x\": -152}", "seed": "1630686687295003119", "semantic_fingerprint": "sha256:398b15822cd0b62b9803e47938264933bf33793c8830082fc426d40bf7fa3f0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001567", "prompt": "What value of x satisfies 40x + 3503 = 7143?", "solution_steps": ["Subtract 3503 from both sides: 40x = 3640", "Divide both sides by 40: x = 91"], "final_answer": "91", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 3503 = 7143", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 3503, \"d\": 7143, \"x\": 91}", "seed": "1201683416738458377", "semantic_fingerprint": "sha256:09ef0385cb406b3ef4fd1871e72f352cf1c925811a11caa59fcc46f96ffbb9c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001568", "prompt": "What is -12749 * (7172 / (-3694)) * 7167?", "solution_steps": ["Divide: 7172 / (-3694) = -3586/1847", "Multiply: -12749 * (-3586/1847) = 45717914/1847", "Multiply: (45717914/1847) * 7167 = 327660289638/1847"], "final_answer": "327660289638/1847", "answer_type": "rational", "kind": "expression", "math_text": "-12749 * (7172 / (-3694)) * 7167", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -12749, \"b\": 7172, \"c\": -3694, \"d\": 7167}", "seed": "16163115134418545225", "semantic_fingerprint": "sha256:67b05c141e0ef71f6acb3cdf241d38be3fadd30e38a0ae742362bc127cd183a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001569", "prompt": "Calculate: 35379 * (6297 / (-9089))", "solution_steps": ["Divide: 6297 / (-9089) = -6297/9089", "Multiply: 35379 * (-6297/9089) = -222781563/9089"], "final_answer": "-222781563/9089", "answer_type": "rational", "kind": "expression", "math_text": "35379 * (6297 / (-9089))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35379, \"b\": 6297, \"c\": -9089}", "seed": "6523802323198265313", "semantic_fingerprint": "sha256:19ac1fa82a370f4b24feca74ebc736fd15ec26dc3dec89866a77f03a91840e90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001570", "prompt": "Compute: (1849 * (4084 * 8369) - 2123) / 4459", "solution_steps": ["Multiply: 4084 * 8369 = 34178996", "Multiply: 1849 * 34178996 = 63196963604", "Subtract: 63196963604 - 2123 = 63196961481", "Divide: 63196961481 / 4459 = 63196961481/4459"], "final_answer": "63196961481/4459", "answer_type": "rational", "kind": "expression", "math_text": "(1849 * (4084 * 8369) - 2123) / 4459", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1849, \"b\": 4084, \"c\": 8369, \"d\": 2123, \"e\": 4459}", "seed": "8694066117716781", "semantic_fingerprint": "sha256:85e538d66e21b9822bb0fc806ba8506bfa542b298713c59b2f67a99dceb01ff4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001571", "prompt": "What is -8477 / (5936 - 60774) * 3048?", "solution_steps": ["Subtract: 5936 - 60774 = -54838", "Divide: -8477 / (-54838) = 1211/7834", "Multiply: (1211/7834) * 3048 = 1845564/3917"], "final_answer": "1845564/3917", "answer_type": "rational", "kind": "expression", "math_text": "-8477 / (5936 - 60774) * 3048", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8477, \"b\": 5936, \"c\": 60774, \"d\": 3048}", "seed": "7894749552879566562", "semantic_fingerprint": "sha256:bee2832cea57b6ba244a5688db14b793fdd63847e74bfecea81d873003dccd2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001572", "prompt": "Calculate: -7244 + (95937 + (-4279))", "solution_steps": ["Add: 95937 + (-4279) = 91658", "Add: -7244 + 91658 = 84414"], "final_answer": "84414", "answer_type": "integer", "kind": "expression", "math_text": "-7244 + (95937 + (-4279))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7244, \"b\": 95937, \"c\": -4279}", "seed": "18072867646049337834", "semantic_fingerprint": "sha256:35397f66569973d307bc8baad964ceaa0f4fb810373dee66bc604a5015a6efdc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001573", "prompt": "What is -5345 - 7520?", "solution_steps": ["Subtract: -5345 - 7520 = -12865"], "final_answer": "-12865", "answer_type": "integer", "kind": "expression", "math_text": "-5345 - 7520", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5345, \"b\": 7520}", "seed": "17335331661981292831", "semantic_fingerprint": "sha256:773a73de7d18802ac1b8b42b49b89edca5521bbd6790ead74a5cde8f39c73e64", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001574", "prompt": "Calculate: 80328 - 4648 - (-99210)", "solution_steps": ["Subtract: 80328 - 4648 = 75680", "Subtract: 75680 - (-99210) = 174890"], "final_answer": "174890", "answer_type": "integer", "kind": "expression", "math_text": "80328 - 4648 - (-99210)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80328, \"b\": 4648, \"c\": -99210}", "seed": "2873706469126188851", "semantic_fingerprint": "sha256:417255a836e8a114142b19805f6b7bd04e2a2e66ecf155e0ade58a2cba9c7cc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001575", "prompt": "What is -27664 - (-44612 + 37251) + 1726 * (-40749)?", "solution_steps": ["Add: -44612 + 37251 = -7361", "Subtract: -27664 - (-7361) = -20303", "Multiply: 1726 * (-40749) = -70332774", "Add: -20303 + (-70332774) = -70353077"], "final_answer": "-70353077", "answer_type": "integer", "kind": "expression", "math_text": "-27664 - (-44612 + 37251) + 1726 * (-40749)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27664, \"b\": -44612, \"c\": 37251, \"d\": 1726, \"e\": -40749}", "seed": "10793187396583377377", "semantic_fingerprint": "sha256:e979f4c2197c188fc8bba963be60f0142801da36e03b18e8bdcc97a9e949b888", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001576", "prompt": "What is -7681 / 58663?", "solution_steps": ["Divide: -7681 / 58663 = -7681/58663"], "final_answer": "-7681/58663", "answer_type": "rational", "kind": "expression", "math_text": "-7681 / 58663", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7681, \"b\": 58663}", "seed": "9020966197468830587", "semantic_fingerprint": "sha256:fe83d0e94264fb7afa854c0dc399e93b1d7fcbb9beb420cbf14cc323ccbc5ecb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001577", "prompt": "Calculate: (5092 + 4783) * (-8383)", "solution_steps": ["Add: 5092 + 4783 = 9875", "Multiply: 9875 * (-8383) = -82782125"], "final_answer": "-82782125", "answer_type": "integer", "kind": "expression", "math_text": "(5092 + 4783) * (-8383)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5092, \"b\": 4783, \"c\": -8383}", "seed": "17675790173371695343", "semantic_fingerprint": "sha256:e0b29e2a29191940ac4d2c03ee635e737758bdae715c80747a4c8c6596c0348b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001578", "prompt": "Calculate: 89807 + (-9483) - 2700 / (4209 + (-1142))", "solution_steps": ["Add: 89807 + (-9483) = 80324", "Add: 4209 + (-1142) = 3067", "Divide: 2700 / 3067 = 2700/3067", "Subtract: 80324 - 2700/3067 = 246351008/3067"], "final_answer": "246351008/3067", "answer_type": "rational", "kind": "expression", "math_text": "89807 + (-9483) - 2700 / (4209 + (-1142))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 89807, \"b\": -9483, \"c\": 2700, \"d\": 4209, \"e\": -1142}", "seed": "10851286021070791709", "semantic_fingerprint": "sha256:f70e622a38a3bff823c12a509e62131030a0d872d240cb214646c754238c7b4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001579", "prompt": "Compute: 57601 - (5871 + (2451 - (-56604)) + (-1492))", "solution_steps": ["Subtract: 2451 - (-56604) = 59055", "Add: 5871 + 59055 = 64926", "Add: 64926 + (-1492) = 63434", "Subtract: 57601 - 63434 = -5833"], "final_answer": "-5833", "answer_type": "integer", "kind": "expression", "math_text": "57601 - (5871 + (2451 - (-56604)) + (-1492))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 57601, \"b\": 5871, \"c\": 2451, \"d\": -56604, \"e\": -1492}", "seed": "3033622040174795973", "semantic_fingerprint": "sha256:2e8651838595024620ee13aa69ba2cec6e8bd86f57aaa335070e57ab8ad966ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001580", "prompt": "Calculate: -62862 - 6220 - 8226", "solution_steps": ["Subtract: -62862 - 6220 = -69082", "Subtract: -69082 - 8226 = -77308"], "final_answer": "-77308", "answer_type": "integer", "kind": "expression", "math_text": "-62862 - 6220 - 8226", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62862, \"b\": 6220, \"c\": 8226}", "seed": "10312401284149555542", "semantic_fingerprint": "sha256:61c56699f913b4ba0cf3cbaeedc3f872eec5137b9983994341dc41459a22fc2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001581", "prompt": "Evaluate: -6672 * (-3403)", "solution_steps": ["Multiply: -6672 * (-3403) = 22704816"], "final_answer": "22704816", "answer_type": "integer", "kind": "expression", "math_text": "-6672 * (-3403)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6672, \"b\": -3403}", "seed": "4833113941707968024", "semantic_fingerprint": "sha256:0e22c42a8689555dd55d109e78da8d468d3a4e9e76f531abb3606726c6fa4610", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001582", "prompt": "What is -71987 * (-22305 / (7575 + 5204))?", "solution_steps": ["Add: 7575 + 5204 = 12779", "Divide: -22305 / 12779 = -22305/12779", "Multiply: -71987 * (-22305/12779) = 1605670035/12779"], "final_answer": "1605670035/12779", "answer_type": "rational", "kind": "expression", "math_text": "-71987 * (-22305 / (7575 + 5204))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71987, \"b\": -22305, \"c\": 7575, \"d\": 5204}", "seed": "17546938806230113744", "semantic_fingerprint": "sha256:af3988d0a0dc35247a4f102b265aebd05311fe7d8991b2255698b2057047a0ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001583", "prompt": "Find x: 38x = 1976", "solution_steps": ["Divide both sides by 38: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = 1976", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 1976, \"x\": 52}", "seed": "11874464590551719692", "semantic_fingerprint": "sha256:d3f5a007262dd13df0f199aeb277de9027d1e7a638075f54976a79354ff9533a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001584", "prompt": "Evaluate: 20573 * (-79182)", "solution_steps": ["Multiply: 20573 * (-79182) = -1629011286"], "final_answer": "-1629011286", "answer_type": "integer", "kind": "expression", "math_text": "20573 * (-79182)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 20573, \"b\": -79182}", "seed": "17109828198168993598", "semantic_fingerprint": "sha256:627672ae2d3b59583ee5118a40d18f9555e742acf3b144b8704837ef779117ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001585", "prompt": "Evaluate: -23193 * (-9411 / 7717)", "solution_steps": ["Divide: -9411 / 7717 = -9411/7717", "Multiply: -23193 * (-9411/7717) = 218269323/7717"], "final_answer": "218269323/7717", "answer_type": "rational", "kind": "expression", "math_text": "-23193 * (-9411 / 7717)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23193, \"b\": -9411, \"c\": 7717}", "seed": "9471849334460935716", "semantic_fingerprint": "sha256:ce4bd3ac8b97a55bdc144e638c1c647a1f0955e00da03dcd0a32eeb5cddd875d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001586", "prompt": "Calculate: 76010 + (2619 + 86862 - 5991 * (-7710) * 9223)", "solution_steps": ["Add: 2619 + 86862 = 89481", "Multiply: 5991 * (-7710) = -46190610", "Multiply: -46190610 * 9223 = -426015996030", "Subtract: 89481 - (-426015996030) = 426016085511", "Add: 76010 + 426016085511 = 426016161521"], "final_answer": "426016161521", "answer_type": "integer", "kind": "expression", "math_text": "76010 + (2619 + 86862 - 5991 * (-7710) * 9223)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n n) (* (* n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 76010, \"b\": 2619, \"c\": 86862, \"d\": 5991, \"e\": -7710, \"f\": 9223}", "seed": "2699583809064232393", "semantic_fingerprint": "sha256:51dc3d601850297514ba42e5fe8c6082845355a289a070a465f58595b650d536", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001587", "prompt": "Compute: 5901 / 1233", "solution_steps": ["Divide: 5901 / 1233 = 1967/411"], "final_answer": "1967/411", "answer_type": "rational", "kind": "expression", "math_text": "5901 / 1233", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5901, \"b\": 1233}", "seed": "7031765767729732526", "semantic_fingerprint": "sha256:46d187ebb43bb35eec72141baf9c1f7a02f3208eb42153ff4a8253bd0a212424", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001588", "prompt": "What is (76133 - 81745) * (-5187)?", "solution_steps": ["Subtract: 76133 - 81745 = -5612", "Multiply: -5612 * (-5187) = 29109444"], "final_answer": "29109444", "answer_type": "integer", "kind": "expression", "math_text": "(76133 - 81745) * (-5187)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 76133, \"b\": 81745, \"c\": -5187}", "seed": "11845665873969337368", "semantic_fingerprint": "sha256:93b6087d95401c472e02c20b023485bcc48b9b2c644225c6de8e1b8139cc75ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001589", "prompt": "Calculate: 6894 / 8581 - (-89918)", "solution_steps": ["Divide: 6894 / 8581 = 6894/8581", "Subtract: 6894/8581 - (-89918) = 771593252/8581"], "final_answer": "771593252/8581", "answer_type": "rational", "kind": "expression", "math_text": "6894 / 8581 - (-89918)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6894, \"b\": 8581, \"c\": -89918}", "seed": "9326056320754784962", "semantic_fingerprint": "sha256:a4417d4c40895da403179bbe9492b5140d7647ba1f4c355ebc78391476cf32c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001590", "prompt": "Calculate: -2805 + (9546 + (-5992 - (-6376)))", "solution_steps": ["Subtract: -5992 - (-6376) = 384", "Add: 9546 + 384 = 9930", "Add: -2805 + 9930 = 7125"], "final_answer": "7125", "answer_type": "integer", "kind": "expression", "math_text": "-2805 + (9546 + (-5992 - (-6376)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2805, \"b\": 9546, \"c\": -5992, \"d\": -6376}", "seed": "7975451958124363341", "semantic_fingerprint": "sha256:b86a218c29bbebe993c2c364ef39314103acc2214ebb851a7a3eb7a38399ece1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001591", "prompt": "Calculate: 84438 + (-73469 * 80109 + 62754)", "solution_steps": ["Multiply: -73469 * 80109 = -5885528121", "Add: -5885528121 + 62754 = -5885465367", "Add: 84438 + (-5885465367) = -5885380929"], "final_answer": "-5885380929", "answer_type": "integer", "kind": "expression", "math_text": "84438 + (-73469 * 80109 + 62754)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84438, \"b\": -73469, \"c\": 80109, \"d\": 62754}", "seed": "2746302740371464180", "semantic_fingerprint": "sha256:8c54f1782e88cdb4aff632c9413d6e733e288e3c9a5bbe1530a43abb5f284809", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001592", "prompt": "Calculate: 84892 - (-5734)", "solution_steps": ["Subtract: 84892 - (-5734) = 90626"], "final_answer": "90626", "answer_type": "integer", "kind": "expression", "math_text": "84892 - (-5734)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84892, \"b\": -5734}", "seed": "11314907822233238446", "semantic_fingerprint": "sha256:35c5553d0b04d4d0a751200ae84a931d819ea5086a98cc3198ae65cb6585a737", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001593", "prompt": "What is (6334 + 18059) * (25273 / 4831)?", "solution_steps": ["Add: 6334 + 18059 = 24393", "Divide: 25273 / 4831 = 25273/4831", "Multiply: 24393 * (25273/4831) = 616484289/4831"], "final_answer": "616484289/4831", "answer_type": "rational", "kind": "expression", "math_text": "(6334 + 18059) * (25273 / 4831)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6334, \"b\": 18059, \"c\": 25273, \"d\": 4831}", "seed": "6856144573597822879", "semantic_fingerprint": "sha256:5a1e1b66d17d2e1e24899f2b00fe657cff91c8fad312555dbf2d6e4b74adbf66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001594", "prompt": "Evaluate: -70764 + (-22264)", "solution_steps": ["Add: -70764 + (-22264) = -93028"], "final_answer": "-93028", "answer_type": "integer", "kind": "expression", "math_text": "-70764 + (-22264)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -70764, \"b\": -22264}", "seed": "16977502458876437860", "semantic_fingerprint": "sha256:9bb154799fd957f2c54615607b0e8fdb62b867c632e14f3eb74ef2092839c3b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001595", "prompt": "Compute: (75055 + 3143) * (-9992 - (2262 - (4139 - 98450)))", "solution_steps": ["Add: 75055 + 3143 = 78198", "Subtract: 4139 - 98450 = -94311", "Subtract: 2262 - (-94311) = 96573", "Subtract: -9992 - 96573 = -106565", "Multiply: 78198 * (-106565) = -8333169870"], "final_answer": "-8333169870", "answer_type": "integer", "kind": "expression", "math_text": "(75055 + 3143) * (-9992 - (2262 - (4139 - 98450)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- n (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 75055, \"b\": 3143, \"c\": -9992, \"d\": 2262, \"e\": 4139, \"f\": 98450}", "seed": "17765017875755630899", "semantic_fingerprint": "sha256:ba1ccbac685ea5b84ccb3baef37466fdd42266f06286b40075f901e8b67d8f31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001596", "prompt": "Calculate: -76294 + 5539 + (-4971)", "solution_steps": ["Add: -76294 + 5539 = -70755", "Add: -70755 + (-4971) = -75726"], "final_answer": "-75726", "answer_type": "integer", "kind": "expression", "math_text": "-76294 + 5539 + (-4971)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76294, \"b\": 5539, \"c\": -4971}", "seed": "3141614188454080486", "semantic_fingerprint": "sha256:1d3122baa034fe00ddcc8839032213d5c766607b75af46dac43658863b45c837", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001597", "prompt": "Calculate: -2493 + (2252 + 8651)", "solution_steps": ["Add: 2252 + 8651 = 10903", "Add: -2493 + 10903 = 8410"], "final_answer": "8410", "answer_type": "integer", "kind": "expression", "math_text": "-2493 + (2252 + 8651)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2493, \"b\": 2252, \"c\": 8651}", "seed": "4859060611984632142", "semantic_fingerprint": "sha256:b2f7fbe2862fb53c3d9a22333cd8ea1fac4c71a77bd233ba375055f6c4e870e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001598", "prompt": "Evaluate: 9863 - (-3744 + 2572 * 1712)", "solution_steps": ["Multiply: 2572 * 1712 = 4403264", "Add: -3744 + 4403264 = 4399520", "Subtract: 9863 - 4399520 = -4389657"], "final_answer": "-4389657", "answer_type": "integer", "kind": "expression", "math_text": "9863 - (-3744 + 2572 * 1712)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9863, \"b\": -3744, \"c\": 2572, \"d\": 1712}", "seed": "8632270505108380583", "semantic_fingerprint": "sha256:96e867165d3419b17a0e7e166ef8a14a97e41983b4b76492fa2fd477c9d17c51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001599", "prompt": "What is (-91574 - (-5588)) * (-4766) / (-2085 / 5598)?", "solution_steps": ["Subtract: -91574 - (-5588) = -85986", "Multiply: -85986 * (-4766) = 409809276", "Divide: -2085 / 5598 = -695/1866", "Divide: 409809276 / (-695/1866) = -764704109016/695"], "final_answer": "-764704109016/695", "answer_type": "rational", "kind": "expression", "math_text": "(-91574 - (-5588)) * (-4766) / (-2085 / 5598)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -91574, \"b\": -5588, \"c\": -4766, \"d\": -2085, \"e\": 5598}", "seed": "2964915105865078161", "semantic_fingerprint": "sha256:25dbbffdd016b3ee1ebb79f9036b0b7513ddc7c536aeedfff2f0612031bb0338", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001600", "prompt": "Compute: -8771 * 24101 * (-2368)", "solution_steps": ["Multiply: -8771 * 24101 = -211389871", "Multiply: -211389871 * (-2368) = 500571214528"], "final_answer": "500571214528", "answer_type": "integer", "kind": "expression", "math_text": "-8771 * 24101 * (-2368)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8771, \"b\": 24101, \"c\": -2368}", "seed": "7337367626766939746", "semantic_fingerprint": "sha256:e6e84d1ef1ae17683f13940b55d93b2f5f96bcedb7f3a9b3d4c0f52e41b14d09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001601", "prompt": "What is -7162 * (-58225 - 6066)?", "solution_steps": ["Subtract: -58225 - 6066 = -64291", "Multiply: -7162 * (-64291) = 460452142"], "final_answer": "460452142", "answer_type": "integer", "kind": "expression", "math_text": "-7162 * (-58225 - 6066)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7162, \"b\": -58225, \"c\": 6066}", "seed": "17039712113367980238", "semantic_fingerprint": "sha256:c3677f3ffe4a1771aa80214286b7c88a56ae1694cd43bcb0e2cf044d4425e563", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001602", "prompt": "Calculate: -96645 - (-14767)", "solution_steps": ["Subtract: -96645 - (-14767) = -81878"], "final_answer": "-81878", "answer_type": "integer", "kind": "expression", "math_text": "-96645 - (-14767)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -96645, \"b\": -14767}", "seed": "14353462627547118891", "semantic_fingerprint": "sha256:d86a1bd0bc45dd15bf9115f8a24a74af49d008300f8e471e0ccdfa166fbdb173", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001603", "prompt": "Evaluate: (3054 - (-8163)) * 39820", "solution_steps": ["Subtract: 3054 - (-8163) = 11217", "Multiply: 11217 * 39820 = 446660940"], "final_answer": "446660940", "answer_type": "integer", "kind": "expression", "math_text": "(3054 - (-8163)) * 39820", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3054, \"b\": -8163, \"c\": 39820}", "seed": "2424314629144398815", "semantic_fingerprint": "sha256:b24ed9153585254db4dc8b42e38f1b2cb528a9c980e304ebb5b65ad0ce80c1e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001604", "prompt": "What is -3820 / 7957 + (1743 + (-89141))?", "solution_steps": ["Divide: -3820 / 7957 = -3820/7957", "Add: 1743 + (-89141) = -87398", "Add: -3820/7957 + (-87398) = -695429706/7957"], "final_answer": "-695429706/7957", "answer_type": "rational", "kind": "expression", "math_text": "-3820 / 7957 + (1743 + (-89141))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3820, \"b\": 7957, \"c\": 1743, \"d\": -89141}", "seed": "1714975036122126294", "semantic_fingerprint": "sha256:9e904813cd34c7e0478e254dd426ce4b3e1a76935e7801f9ef47656f92125431", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001605", "prompt": "Compute: -1323 - (-3734) / (1894 + 25829)", "solution_steps": ["Add: 1894 + 25829 = 27723", "Divide: -3734 / 27723 = -3734/27723", "Subtract: -1323 - (-3734/27723) = -36673795/27723"], "final_answer": "-36673795/27723", "answer_type": "rational", "kind": "expression", "math_text": "-1323 - (-3734) / (1894 + 25829)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1323, \"b\": -3734, \"c\": 1894, \"d\": 25829}", "seed": "16480885837615639970", "semantic_fingerprint": "sha256:2db787c9561fe22299abc63b201d44626017e3fbea320b0fa3bfbf183f219c3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001606", "prompt": "Evaluate: -6244 - (-36028) * 6152 / (-62160)", "solution_steps": ["Multiply: -36028 * 6152 = -221644256", "Divide: -221644256 / (-62160) = 13852766/3885", "Subtract: -6244 - 13852766/3885 = -38110706/3885"], "final_answer": "-38110706/3885", "answer_type": "rational", "kind": "expression", "math_text": "-6244 - (-36028) * 6152 / (-62160)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6244, \"b\": -36028, \"c\": 6152, \"d\": -62160}", "seed": "15389422622511628995", "semantic_fingerprint": "sha256:14fb083955a8e7b4cc5f1aef8935ea4f4525a09fc7601a2ff25005802e48e5c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001607", "prompt": "Compute: -3352 / (-8218 + (1637 + 2881)) * 35653", "solution_steps": ["Add: 1637 + 2881 = 4518", "Add: -8218 + 4518 = -3700", "Divide: -3352 / (-3700) = 838/925", "Multiply: (838/925) * 35653 = 29877214/925"], "final_answer": "29877214/925", "answer_type": "rational", "kind": "expression", "math_text": "-3352 / (-8218 + (1637 + 2881)) * 35653", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3352, \"b\": -8218, \"c\": 1637, \"d\": 2881, \"e\": 35653}", "seed": "8955916840608457011", "semantic_fingerprint": "sha256:10facfe50af766e5ab7a5c06ab592c5d00abf3919eed8889f193fab51a91fb3a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001608", "prompt": "What value of x satisfies 32(x + 5816) + 26227 = 5721?", "solution_steps": ["Expand: 32x + 186112 + 26227 = 5721", "Combine constants: 32x + 212339 = 5721", "Subtract 212339 from both sides: 32x = -206618", "Divide both sides by 32: x = -103309/16"], "final_answer": "-103309/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 5816) + 26227 = 5721", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 5816, \"c\": 26227, \"d\": 5721}", "seed": "8542282668597393315", "semantic_fingerprint": "sha256:0cb35e4423ab670d053e53f3ffd41258530b65a98e77cecea18199ac5463ef9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001609", "prompt": "Evaluate: (74420 + (-47869)) * (-8821) + (6100 * (-8620) - (-7620))", "solution_steps": ["Add: 74420 + (-47869) = 26551", "Multiply: 26551 * (-8821) = -234206371", "Multiply: 6100 * (-8620) = -52582000", "Subtract: -52582000 - (-7620) = -52574380", "Add: -234206371 + (-52574380) = -286780751"], "final_answer": "-286780751", "answer_type": "integer", "kind": "expression", "math_text": "(74420 + (-47869)) * (-8821) + (6100 * (-8620) - (-7620))", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 74420, \"b\": -47869, \"c\": -8821, \"d\": 6100, \"e\": -8620, \"f\": -7620}", "seed": "14930183765577017200", "semantic_fingerprint": "sha256:d5e2cd93c4482a273280c7e8f54b3782219d2ef8c06a37a6a66f8d83cb575e68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001610", "prompt": "What value of x satisfies -18(x + 6478) + 6737 = x?", "solution_steps": ["Expand: -18x - 116604 + 6737 = x", "Combine constants: -18x - 109867 = x", "Subtract x from both sides: -19x - 109867 = 0", "Add 109867 to both sides: -19x = 109867", "Divide both sides by -19: x = -109867/19"], "final_answer": "-109867/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x + 6478) + 6737 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 6478, \"c\": 6737}", "seed": "980953111186744674", "semantic_fingerprint": "sha256:c20db099fa83cd8fd2160504a804a897c9ddd1092dc4a2451ef26a2e08e2b107", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001611", "prompt": "Calculate: -94961 - (9312 / 9994 + 9095)", "solution_steps": ["Divide: 9312 / 9994 = 4656/4997", "Add: 4656/4997 + 9095 = 45452371/4997", "Subtract: -94961 - 45452371/4997 = -519972488/4997"], "final_answer": "-519972488/4997", "answer_type": "rational", "kind": "expression", "math_text": "-94961 - (9312 / 9994 + 9095)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94961, \"b\": 9312, \"c\": 9994, \"d\": 9095}", "seed": "3121582001855358112", "semantic_fingerprint": "sha256:5533c8a8c6bd4eb05f6772dc6cde1fbc99955027f92aa7013c73d3f70d715395", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001612", "prompt": "Calculate: 2885 * (9875 / (-76674))", "solution_steps": ["Divide: 9875 / (-76674) = -9875/76674", "Multiply: 2885 * (-9875/76674) = -28489375/76674"], "final_answer": "-28489375/76674", "answer_type": "rational", "kind": "expression", "math_text": "2885 * (9875 / (-76674))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2885, \"b\": 9875, \"c\": -76674}", "seed": "12352602283269096525", "semantic_fingerprint": "sha256:d7ce08698a472c92ea59b836f0a2173f61db839b2e8a81c2bf05c6351cc0a6a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001613", "prompt": "What value of x satisfies 30x + 9850 = 15220?", "solution_steps": ["Subtract 9850 from both sides: 30x = 5370", "Divide both sides by 30: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 9850 = 15220", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 9850, \"d\": 15220, \"x\": 179}", "seed": "18109213369361210457", "semantic_fingerprint": "sha256:37b9d3993b4a26a778bccd373c5a05af7ed99685269855a5dc97f18de7673daf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001614", "prompt": "Evaluate: -59201 - (-8812 + (-4127 - (31395 - 30337)))", "solution_steps": ["Subtract: 31395 - 30337 = 1058", "Subtract: -4127 - 1058 = -5185", "Add: -8812 + (-5185) = -13997", "Subtract: -59201 - (-13997) = -45204"], "final_answer": "-45204", "answer_type": "integer", "kind": "expression", "math_text": "-59201 - (-8812 + (-4127 - (31395 - 30337)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (- n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -59201, \"b\": -8812, \"c\": -4127, \"d\": 31395, \"e\": 30337}", "seed": "9780749737789435776", "semantic_fingerprint": "sha256:000fd2c3aa7309d172bed20f88dc427000558b498b8c608d4d881f4809fdf4d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001615", "prompt": "Solve for x: 26x + 2157 = x + 2209", "solution_steps": ["Subtract x from both sides: 25x + 2157 = 2209", "Subtract 2157 from both sides: 25x = 52", "Divide both sides by 25: x = 52/25"], "final_answer": "52/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 2157 = x + 2209", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2157, \"c\": 2209}", "seed": "7771648470795379583", "semantic_fingerprint": "sha256:daa7a0d2de1d9aa0faaa1336b0e0700ad6f082a7b582334e1ed0d18628f0a766", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001616", "prompt": "Compute: (-1064 - 8028) * 92282", "solution_steps": ["Subtract: -1064 - 8028 = -9092", "Multiply: -9092 * 92282 = -839027944"], "final_answer": "-839027944", "answer_type": "integer", "kind": "expression", "math_text": "(-1064 - 8028) * 92282", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1064, \"b\": 8028, \"c\": 92282}", "seed": "5252898139896077308", "semantic_fingerprint": "sha256:f40fea34da41d4aa49787cf749671ea31f8cd8cd59c4b0b9811a00443ec728a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001617", "prompt": "Compute: 7593 - 44088", "solution_steps": ["Subtract: 7593 - 44088 = -36495"], "final_answer": "-36495", "answer_type": "integer", "kind": "expression", "math_text": "7593 - 44088", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7593, \"b\": 44088}", "seed": "363293773629842640", "semantic_fingerprint": "sha256:d391bdc2049b880893698284358a29eec44448f5088da178a8c5036b6c66551c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001618", "prompt": "Evaluate: 4272 * (-9177 / 4300 - 7561)", "solution_steps": ["Divide: -9177 / 4300 = -9177/4300", "Subtract: -9177/4300 - 7561 = -32521477/4300", "Multiply: 4272 * (-32521477/4300) = -34732937436/1075"], "final_answer": "-34732937436/1075", "answer_type": "rational", "kind": "expression", "math_text": "4272 * (-9177 / 4300 - 7561)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4272, \"b\": -9177, \"c\": 4300, \"d\": 7561}", "seed": "11134326555541151370", "semantic_fingerprint": "sha256:53c04984dc4a8c32ab637059be58b47e63b9cd8e36a4a4c0e090f3037f11ee1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001619", "prompt": "Solve for x: 13x = 39x - 1307", "solution_steps": ["Subtract 39x from both sides: -26x = -1307", "Divide both sides by -26: x = 1307/26"], "final_answer": "1307/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 39x - 1307", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 39, \"c\": 1307}", "seed": "3636832819886060561", "semantic_fingerprint": "sha256:79ae53f7f9da8dfd13d32c2efe184a5b4c5d350c2d77ba9fc01284b18130af91", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001620", "prompt": "Evaluate: -53816 * (3281 / (-6907))", "solution_steps": ["Divide: 3281 / (-6907) = -3281/6907", "Multiply: -53816 * (-3281/6907) = 176570296/6907"], "final_answer": "176570296/6907", "answer_type": "rational", "kind": "expression", "math_text": "-53816 * (3281 / (-6907))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53816, \"b\": 3281, \"c\": -6907}", "seed": "5837715874237004503", "semantic_fingerprint": "sha256:58bcf1b0b2a8cb28f4138a54689051222cd9b8e8058cb252e4a842918dad5c3a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001621", "prompt": "What value of x satisfies 28(x + 7568) + 10221 = 40(x + 3893)?", "solution_steps": ["Expand: 28x + 211904 + 10221 = 40(x + 3893)", "Expand: 28x + 211904 + 10221 = 40x + 155720", "Combine constants: 28x + 222125 = 40x + 155720", "Subtract 40x from both sides: -12x + 222125 = 155720", "Subtract 222125 from both sides: -12x = -66405", "Divide both sides by -12: x = 22135/4"], "final_answer": "22135/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 7568) + 10221 = 40(x + 3893)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 7568, \"c\": 10221, \"d\": 40, \"e\": 3893}", "seed": "11152361006384082086", "semantic_fingerprint": "sha256:09e63ad06e26a4fd73d617b155a2cdfd4149b24f6d0d511dab78633bd72fe355", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001622", "prompt": "Evaluate: (-86474 + (-3927)) * (-1104 - 8622) * (5443 + (-6311))", "solution_steps": ["Add: -86474 + (-3927) = -90401", "Subtract: -1104 - 8622 = -9726", "Multiply: -90401 * (-9726) = 879240126", "Add: 5443 + (-6311) = -868", "Multiply: 879240126 * (-868) = -763180429368"], "final_answer": "-763180429368", "answer_type": "integer", "kind": "expression", "math_text": "(-86474 + (-3927)) * (-1104 - 8622) * (5443 + (-6311))", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -86474, \"b\": -3927, \"c\": -1104, \"d\": 8622, \"e\": 5443, \"f\": -6311}", "seed": "11748534609658087250", "semantic_fingerprint": "sha256:3d0761885d1e5086fae4e29301240f315c05e20ad28a178ab90515ed46339e7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001623", "prompt": "Evaluate: 2405 - 67978 + (-7274)", "solution_steps": ["Subtract: 2405 - 67978 = -65573", "Add: -65573 + (-7274) = -72847"], "final_answer": "-72847", "answer_type": "integer", "kind": "expression", "math_text": "2405 - 67978 + (-7274)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2405, \"b\": 67978, \"c\": -7274}", "seed": "13063790773956890658", "semantic_fingerprint": "sha256:2b98f312ad726914fa06a781bd14b190a9e5c140e6071936e2dc67dce494b8a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001624", "prompt": "Calculate: 60556 + (-85315) + 67567", "solution_steps": ["Add: 60556 + (-85315) = -24759", "Add: -24759 + 67567 = 42808"], "final_answer": "42808", "answer_type": "integer", "kind": "expression", "math_text": "60556 + (-85315) + 67567", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60556, \"b\": -85315, \"c\": 67567}", "seed": "836418273263894435", "semantic_fingerprint": "sha256:5cde899fb1074963a2252293fc6f70d7821138b35e93b320921819df09b46054", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001625", "prompt": "Calculate: -6978 / (-4654) + (1610 + 2204)", "solution_steps": ["Divide: -6978 / (-4654) = 3489/2327", "Add: 1610 + 2204 = 3814", "Add: 3489/2327 + 3814 = 8878667/2327"], "final_answer": "8878667/2327", "answer_type": "rational", "kind": "expression", "math_text": "-6978 / (-4654) + (1610 + 2204)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6978, \"b\": -4654, \"c\": 1610, \"d\": 2204}", "seed": "6904574490051237055", "semantic_fingerprint": "sha256:d5129ca7fafc070aef7c461e2151a2928cb1702f843624308796458b891eede8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001626", "prompt": "Evaluate: 37582 + (-2398) * (-6285) + (-7012) * (-88013)", "solution_steps": ["Multiply: -2398 * (-6285) = 15071430", "Add: 37582 + 15071430 = 15109012", "Multiply: -7012 * (-88013) = 617147156", "Add: 15109012 + 617147156 = 632256168"], "final_answer": "632256168", "answer_type": "integer", "kind": "expression", "math_text": "37582 + (-2398) * (-6285) + (-7012) * (-88013)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37582, \"b\": -2398, \"c\": -6285, \"d\": -7012, \"e\": -88013}", "seed": "2023821221659623800", "semantic_fingerprint": "sha256:6ff12001e8d161b7c7db4e8994b7307dc7a041edef6594d60ba543f0daaf3fd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001627", "prompt": "Calculate: -5756 + (5787 + (-70097))", "solution_steps": ["Add: 5787 + (-70097) = -64310", "Add: -5756 + (-64310) = -70066"], "final_answer": "-70066", "answer_type": "integer", "kind": "expression", "math_text": "-5756 + (5787 + (-70097))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5756, \"b\": 5787, \"c\": -70097}", "seed": "14069463723883756204", "semantic_fingerprint": "sha256:06edf670a3240bedef470e273542ad0f788228a8362f44dd639ad138b116b7e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001628", "prompt": "What value of x satisfies x = 38x + 2516?", "solution_steps": ["Subtract 38x from both sides: -37x = 2516", "Divide both sides by -37: x = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 38x + 2516", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 2516, \"x\": -68}", "seed": "13819406137955344881", "semantic_fingerprint": "sha256:cee5b76dad289230483d651c1653eb5fa9be2dcb90d80cda5cdd02287add6930", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001629", "prompt": "What is 66095 / (5014 - (-2624)) + 8828?", "solution_steps": ["Subtract: 5014 - (-2624) = 7638", "Divide: 66095 / 7638 = 66095/7638", "Add: 66095/7638 + 8828 = 67494359/7638"], "final_answer": "67494359/7638", "answer_type": "rational", "kind": "expression", "math_text": "66095 / (5014 - (-2624)) + 8828", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 66095, \"b\": 5014, \"c\": -2624, \"d\": 8828}", "seed": "353678263225183919", "semantic_fingerprint": "sha256:c4c5a53917875d1f815f5adaab27780a1cc4024d9be5b91f9e5877c7be043e28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001630", "prompt": "Calculate: -5304 + 3984", "solution_steps": ["Add: -5304 + 3984 = -1320"], "final_answer": "-1320", "answer_type": "integer", "kind": "expression", "math_text": "-5304 + 3984", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5304, \"b\": 3984}", "seed": "5943480523490595644", "semantic_fingerprint": "sha256:f2d1846d56b5b239576031ba7d8fe563c76960816bf449859d2c438bded41fcf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001631", "prompt": "What is 9799 / 9309?", "solution_steps": ["Divide: 9799 / 9309 = 9799/9309"], "final_answer": "9799/9309", "answer_type": "rational", "kind": "expression", "math_text": "9799 / 9309", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9799, \"b\": 9309}", "seed": "5515365465190029778", "semantic_fingerprint": "sha256:d127c25bf21033c879d46472da544eda18ed7f575c771049f55ba1b8171c4c12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001632", "prompt": "What is 8103 + 5989 + 6334 + (23712 - 1282)?", "solution_steps": ["Add: 8103 + 5989 = 14092", "Add: 14092 + 6334 = 20426", "Subtract: 23712 - 1282 = 22430", "Add: 20426 + 22430 = 42856"], "final_answer": "42856", "answer_type": "integer", "kind": "expression", "math_text": "8103 + 5989 + 6334 + (23712 - 1282)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8103, \"b\": 5989, \"c\": 6334, \"d\": 23712, \"e\": 1282}", "seed": "13414962395641175295", "semantic_fingerprint": "sha256:d45c35e0ab9d218b0b125ff655beb518762e46aa2a5b1747b3e64b42acb81036", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001633", "prompt": "What is 3748 + 2085 - 48488 / 4927?", "solution_steps": ["Add: 3748 + 2085 = 5833", "Divide: 48488 / 4927 = 48488/4927", "Subtract: 5833 - 48488/4927 = 28690703/4927"], "final_answer": "28690703/4927", "answer_type": "rational", "kind": "expression", "math_text": "3748 + 2085 - 48488 / 4927", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3748, \"b\": 2085, \"c\": 48488, \"d\": 4927}", "seed": "10373963482893407160", "semantic_fingerprint": "sha256:70f1d00b2e33b28e1629fb0e2a5da0b3f31605a3af488b533b6f618ce663d847", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001634", "prompt": "Evaluate: 98865 * 6345 - (-29067)", "solution_steps": ["Multiply: 98865 * 6345 = 627298425", "Subtract: 627298425 - (-29067) = 627327492"], "final_answer": "627327492", "answer_type": "integer", "kind": "expression", "math_text": "98865 * 6345 - (-29067)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98865, \"b\": 6345, \"c\": -29067}", "seed": "6610248990419496614", "semantic_fingerprint": "sha256:0f7dc1f39dc7025a67447d71141c0dba88c9644d26624238203b0d6c576c52a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001635", "prompt": "Solve for x: -38x - 8034 = 17(x - 6005) + 86846", "solution_steps": ["Expand: -38x - 8034 = 17x - 102085 + 86846", "Combine constants: -38x - 8034 = 17x - 15239", "Subtract 17x from both sides: -55x - 8034 = -15239", "Add 8034 to both sides: -55x = -7205", "Divide both sides by -55: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x - 8034 = 17(x - 6005) + 86846", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 8034, \"c\": 17, \"d\": 6005, \"f\": 86846, \"x\": 131}", "seed": "12492912505733878239", "semantic_fingerprint": "sha256:3572e68267c9160b64632aeecec9de3f7c7f78fcd92f0cf7ec5638c49ea59512", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001636", "prompt": "What is -48726 * (-9215) + 7441?", "solution_steps": ["Multiply: -48726 * (-9215) = 449010090", "Add: 449010090 + 7441 = 449017531"], "final_answer": "449017531", "answer_type": "integer", "kind": "expression", "math_text": "-48726 * (-9215) + 7441", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48726, \"b\": -9215, \"c\": 7441}", "seed": "2710259384031789667", "semantic_fingerprint": "sha256:a66aa598e79d85d236090172768aeadd838a9618318bcebc2eb29cb955f53d13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001637", "prompt": "Solve the equation 35(x - 2641) - 7599 = x - 95580 for x.", "solution_steps": ["Expand: 35x - 92435 - 7599 = x - 95580", "Combine constants: 35x - 100034 = x - 95580", "Subtract x from both sides: 34x - 100034 = -95580", "Add 100034 to both sides: 34x = 4454", "Divide both sides by 34: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x - 2641) - 7599 = x - 95580", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2641, \"c\": 7599, \"e\": -95580, \"x\": 131}", "seed": "13352979339445287160", "semantic_fingerprint": "sha256:21e0c83c36b069f542ac96e3b661adc5b894e594e945e463c418f443c4342fbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001638", "prompt": "What is -2331 / (-6367 / (-5828))?", "solution_steps": ["Divide: -6367 / (-5828) = 6367/5828", "Divide: -2331 / (6367/5828) = -13585068/6367"], "final_answer": "-13585068/6367", "answer_type": "rational", "kind": "expression", "math_text": "-2331 / (-6367 / (-5828))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2331, \"b\": -6367, \"c\": -5828}", "seed": "2092270363305766103", "semantic_fingerprint": "sha256:bcc65a4f2edfc556c878f3e998757218468bdad29217d73bb59d30162da5ec83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001639", "prompt": "Compute: 91057 + (-2243 + (8224 - (-61392)) - (-16735))", "solution_steps": ["Subtract: 8224 - (-61392) = 69616", "Add: -2243 + 69616 = 67373", "Subtract: 67373 - (-16735) = 84108", "Add: 91057 + 84108 = 175165"], "final_answer": "175165", "answer_type": "integer", "kind": "expression", "math_text": "91057 + (-2243 + (8224 - (-61392)) - (-16735))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 91057, \"b\": -2243, \"c\": 8224, \"d\": -61392, \"e\": -16735}", "seed": "15916794248236227968", "semantic_fingerprint": "sha256:80c10b3b5201ed70edaed1720ec53d0358ce09a4a31ab7797cb26c47df886dda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001640", "prompt": "Solve for x: 36(x + 2981) = 22(x - 98357)", "solution_steps": ["Expand: 36x + 107316 = 22(x - 98357)", "Expand: 36x + 107316 = 22x - 2163854", "Subtract 22x from both sides: 14x + 107316 = -2163854", "Subtract 107316 from both sides: 14x = -2271170", "Divide both sides by 14: x = -1135585/7"], "final_answer": "-1135585/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 2981) = 22(x - 98357)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 2981, \"c\": 22, \"d\": 98357}", "seed": "7751394187234836718", "semantic_fingerprint": "sha256:e5e257ffc44ba88151cab135f2abc574b6f7c78a88e05c71b5c70249e799ef9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001641", "prompt": "What is -5461 / (-8867 * (-9804 / 1173))?", "solution_steps": ["Divide: -9804 / 1173 = -3268/391", "Multiply: -8867 * (-3268/391) = 28977356/391", "Divide: -5461 / (28977356/391) = -49657/673892"], "final_answer": "-49657/673892", "answer_type": "rational", "kind": "expression", "math_text": "-5461 / (-8867 * (-9804 / 1173))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5461, \"b\": -8867, \"c\": -9804, \"d\": 1173}", "seed": "11431482981694712381", "semantic_fingerprint": "sha256:b8bc10a107d35d230a05654c3c0889e81a34bb896bd298843d498bc149351748", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001642", "prompt": "Solve the equation 38x + 5324 = x + 10763 for x.", "solution_steps": ["Subtract x from both sides: 37x + 5324 = 10763", "Subtract 5324 from both sides: 37x = 5439", "Divide both sides by 37: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 5324 = x + 10763", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 5324, \"d\": 10763, \"x\": 147}", "seed": "4753505142946279972", "semantic_fingerprint": "sha256:a064de0807cff20fbb77d54ded31f668484ace1dfca76b99db869d2fb3cf46be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001643", "prompt": "Find x: -27(x - 7449) = -39(x + 7344) + 8902", "solution_steps": ["Expand: -27x + 201123 = -39(x + 7344) + 8902", "Expand: -27x + 201123 = -39x - 286416 + 8902", "Combine constants: -27x + 201123 = -39x - 277514", "Add 39x to both sides: 12x + 201123 = -277514", "Subtract 201123 from both sides: 12x = -478637", "Divide both sides by 12: x = -478637/12"], "final_answer": "-478637/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x - 7449) = -39(x + 7344) + 8902", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 7449, \"c\": -39, \"d\": 7344, \"e\": 8902}", "seed": "1468526741088072578", "semantic_fingerprint": "sha256:029ef012dc60da234139e83df8e14808af0adef8155db5de6e3a9896c8e1dcac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001644", "prompt": "Calculate: 69424 * (-53639 - (-1221))", "solution_steps": ["Subtract: -53639 - (-1221) = -52418", "Multiply: 69424 * (-52418) = -3639067232"], "final_answer": "-3639067232", "answer_type": "integer", "kind": "expression", "math_text": "69424 * (-53639 - (-1221))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69424, \"b\": -53639, \"c\": -1221}", "seed": "2330801514301470659", "semantic_fingerprint": "sha256:54a78194495419b3ec8f4e3a4b56ac307ff6e05011df401f2d76502ee3f88021", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001645", "prompt": "Compute: 4395 / (-3196)", "solution_steps": ["Divide: 4395 / (-3196) = -4395/3196"], "final_answer": "-4395/3196", "answer_type": "rational", "kind": "expression", "math_text": "4395 / (-3196)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4395, \"b\": -3196}", "seed": "2190492815250365394", "semantic_fingerprint": "sha256:c3c419f203435d09789419997b87397c231c3c574f2834af072eb5d7cda92e59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001646", "prompt": "Evaluate: (77381 + 2548 - (6490 + (-40985))) * 4858", "solution_steps": ["Add: 77381 + 2548 = 79929", "Add: 6490 + (-40985) = -34495", "Subtract: 79929 - (-34495) = 114424", "Multiply: 114424 * 4858 = 555871792"], "final_answer": "555871792", "answer_type": "integer", "kind": "expression", "math_text": "(77381 + 2548 - (6490 + (-40985))) * 4858", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 77381, \"b\": 2548, \"c\": 6490, \"d\": -40985, \"e\": 4858}", "seed": "10842301001512700230", "semantic_fingerprint": "sha256:d58a0d9f5bdf7c58c8d63ad321fe2943cb8d1ad5eefd45456d6d1a13eaa4a1eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001647", "prompt": "Calculate: -5852 / (-4120)", "solution_steps": ["Divide: -5852 / (-4120) = 1463/1030"], "final_answer": "1463/1030", "answer_type": "rational", "kind": "expression", "math_text": "-5852 / (-4120)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5852, \"b\": -4120}", "seed": "9648072898557503599", "semantic_fingerprint": "sha256:5a51c017196e3f592eb42a6d8a573cacc397ef516a7f814cc8628982a74eed11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001648", "prompt": "Find x: 22(x - 6756) = 30x + 4204", "solution_steps": ["Expand: 22x - 148632 = 30x + 4204", "Subtract 30x from both sides: -8x - 148632 = 4204", "Add 148632 to both sides: -8x = 152836", "Divide both sides by -8: x = -38209/2"], "final_answer": "-38209/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 6756) = 30x + 4204", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6756, \"c\": 30, \"d\": 4204}", "seed": "5231839638127447534", "semantic_fingerprint": "sha256:6c6e6674bfe5af4e0915bdff54f02af43ed82be20ca7b8934d2f31b069c5c253", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001649", "prompt": "What value of x satisfies -16(x + 1212) + 43265 = -30x + 24251?", "solution_steps": ["Expand: -16x - 19392 + 43265 = -30x + 24251", "Combine constants: -16x + 23873 = -30x + 24251", "Add 30x to both sides: 14x + 23873 = 24251", "Subtract 23873 from both sides: 14x = 378", "Divide both sides by 14: x = 27"], "final_answer": "27", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16(x + 1212) + 43265 = -30x + 24251", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 1212, \"c\": 43265, \"d\": -30, \"f\": 24251, \"x\": 27}", "seed": "9870990129255232400", "semantic_fingerprint": "sha256:7e90208f8558d5b1c934b44fdba0b2dc196d1e5b6e5569ef3c226f49c1ea018f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001650", "prompt": "What is 4387 + 6932?", "solution_steps": ["Add: 4387 + 6932 = 11319"], "final_answer": "11319", "answer_type": "integer", "kind": "expression", "math_text": "4387 + 6932", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4387, \"b\": 6932}", "seed": "17211935333741292043", "semantic_fingerprint": "sha256:4e79c5fbfd8c9991b75b111989617e3a5adc7543f873b4b0771bd5f69a7a4462", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001651", "prompt": "Solve for x: 20(x - 6287) + 38586 = -88694", "solution_steps": ["Expand: 20x - 125740 + 38586 = -88694", "Combine constants: 20x - 87154 = -88694", "Add 87154 to both sides: 20x = -1540", "Divide both sides by 20: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 6287) + 38586 = -88694", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 6287, \"c\": 38586, \"e\": -88694, \"x\": -77}", "seed": "3506219493802067403", "semantic_fingerprint": "sha256:1d5e5e92352fd90aa9eaf663f9ea6426b966b0ad760b46fbf509a0d607c844c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001652", "prompt": "Find x: 29x = 4755", "solution_steps": ["Divide both sides by 29: x = 4755/29"], "final_answer": "4755/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = 4755", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4755}", "seed": "9525126280773744119", "semantic_fingerprint": "sha256:2595c2c8aed0f6baba7be236dc0408c1a0e8f3408b0a1af2d96744c527407566", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001653", "prompt": "What is 26052 / (9612 + (-7152))?", "solution_steps": ["Add: 9612 + (-7152) = 2460", "Divide: 26052 / 2460 = 2171/205"], "final_answer": "2171/205", "answer_type": "rational", "kind": "expression", "math_text": "26052 / (9612 + (-7152))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26052, \"b\": 9612, \"c\": -7152}", "seed": "13811726111275218002", "semantic_fingerprint": "sha256:6872bd5a8bd4643be71497004666422ed73ce00466877ab0cd7a2fa8bb777605", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001654", "prompt": "What value of x satisfies -37(x + 1702) + 2623 = 27(x - 3626) + 36594?", "solution_steps": ["Expand: -37x - 62974 + 2623 = 27(x - 3626) + 36594", "Expand: -37x - 62974 + 2623 = 27x - 97902 + 36594", "Combine constants: -37x - 60351 = 27x - 97902 + 36594", "Combine constants: -37x - 60351 = 27x - 61308", "Subtract 27x from both sides: -64x - 60351 = -61308", "Add 60351 to both sides: -64x = -957", "Divide both sides by -64: x = 957/64"], "final_answer": "957/64", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 1702) + 2623 = 27(x - 3626) + 36594", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1702, \"c\": 2623, \"d\": 27, \"e\": 3626, \"f\": 36594}", "seed": "17974489937450218586", "semantic_fingerprint": "sha256:b93a05ec7bf84825d4a83de1ecf762c8669b48257214635b08aad99eeb0009af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001655", "prompt": "Compute: 9550 - (72070 + (-9339))", "solution_steps": ["Add: 72070 + (-9339) = 62731", "Subtract: 9550 - 62731 = -53181"], "final_answer": "-53181", "answer_type": "integer", "kind": "expression", "math_text": "9550 - (72070 + (-9339))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9550, \"b\": 72070, \"c\": -9339}", "seed": "5821506149846287368", "semantic_fingerprint": "sha256:6852769daf50964a72417120cb58fd483d50305aabfdc29f619b228f6df74af2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001656", "prompt": "Compute: -7587 / 1125", "solution_steps": ["Divide: -7587 / 1125 = -843/125"], "final_answer": "-843/125", "answer_type": "rational", "kind": "expression", "math_text": "-7587 / 1125", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7587, \"b\": 1125}", "seed": "11711083895520145615", "semantic_fingerprint": "sha256:787680e92ed0604f13f7781190d3bd415b8d12526458880f62fe64dd72030692", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001657", "prompt": "Calculate: -53011 * (-8795)", "solution_steps": ["Multiply: -53011 * (-8795) = 466231745"], "final_answer": "466231745", "answer_type": "integer", "kind": "expression", "math_text": "-53011 * (-8795)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -53011, \"b\": -8795}", "seed": "2414234152714679702", "semantic_fingerprint": "sha256:8107f77f1c24fc6d9758b663c4b6470f39f0eb6c3be3ea70fd850013ab9de5ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001658", "prompt": "Solve for x: 22(x + 4413) - 2894 = 30(x - 1614) + 31227", "solution_steps": ["Expand: 22x + 97086 - 2894 = 30(x - 1614) + 31227", "Expand: 22x + 97086 - 2894 = 30x - 48420 + 31227", "Combine constants: 22x + 94192 = 30x - 48420 + 31227", "Combine constants: 22x + 94192 = 30x - 17193", "Subtract 30x from both sides: -8x + 94192 = -17193", "Subtract 94192 from both sides: -8x = -111385", "Divide both sides by -8: x = 111385/8"], "final_answer": "111385/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 4413) - 2894 = 30(x - 1614) + 31227", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 4413, \"c\": 2894, \"d\": 30, \"e\": 1614, \"f\": 31227}", "seed": "3942861689204746152", "semantic_fingerprint": "sha256:be56c05d75118b092ff655c83997b754c1b4ac81e504eadcb1ccb4c3cff73d24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001659", "prompt": "Evaluate: 93813 * (-84548) / (-33368 - (-1918)) + 9850", "solution_steps": ["Multiply: 93813 * (-84548) = -7931701524", "Subtract: -33368 - (-1918) = -31450", "Divide: -7931701524 / (-31450) = 3965850762/15725", "Add: 3965850762/15725 + 9850 = 4120742012/15725"], "final_answer": "4120742012/15725", "answer_type": "rational", "kind": "expression", "math_text": "93813 * (-84548) / (-33368 - (-1918)) + 9850", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 93813, \"b\": -84548, \"c\": -33368, \"d\": -1918, \"e\": 9850}", "seed": "16007620498834829633", "semantic_fingerprint": "sha256:db1f04ec226c61ea3f801ef3a7a4f3ce411fcee41b139e3012f6d09e00df6d39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001660", "prompt": "Evaluate: -40273 - (-99884)", "solution_steps": ["Subtract: -40273 - (-99884) = 59611"], "final_answer": "59611", "answer_type": "integer", "kind": "expression", "math_text": "-40273 - (-99884)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -40273, \"b\": -99884}", "seed": "2638961187047559606", "semantic_fingerprint": "sha256:b575f4055914aceb4221223bf8cad4fa404bb0f383caa613f65d800abf719e56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001661", "prompt": "Solve the equation 18(x + 1258) - 6152 = 26x + 18020 for x.", "solution_steps": ["Expand: 18x + 22644 - 6152 = 26x + 18020", "Combine constants: 18x + 16492 = 26x + 18020", "Subtract 26x from both sides: -8x + 16492 = 18020", "Subtract 16492 from both sides: -8x = 1528", "Divide both sides by -8: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 1258) - 6152 = 26x + 18020", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 1258, \"c\": 6152, \"d\": 26, \"f\": 18020, \"x\": -191}", "seed": "13415384856990911861", "semantic_fingerprint": "sha256:22e1f195b0b757dd5b6b9346862c605d3129be3065bc999c2aa43d9c918f1353", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001662", "prompt": "Evaluate: 34824 / (-6313)", "solution_steps": ["Divide: 34824 / (-6313) = -34824/6313"], "final_answer": "-34824/6313", "answer_type": "rational", "kind": "expression", "math_text": "34824 / (-6313)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34824, \"b\": -6313}", "seed": "1491278001243165170", "semantic_fingerprint": "sha256:be8ccc0ba3024da5f1287c69b726b02effb62ea9d324248bc76af5a4be78d511", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001663", "prompt": "What value of x satisfies 21x = 14x + 1379?", "solution_steps": ["Subtract 14x from both sides: 7x = 1379", "Divide both sides by 7: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 14x + 1379", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 14, \"d\": 1379, \"x\": 197}", "seed": "11668306636936399313", "semantic_fingerprint": "sha256:c968ba28f20749a1b8d70d988dec8d8080cc4fb61c0b374711a6e15dfbfead1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001664", "prompt": "What is (1779 - (-4038)) / (71481 + (-8952)) - (-9629 - (-6846))?", "solution_steps": ["Subtract: 1779 - (-4038) = 5817", "Add: 71481 + (-8952) = 62529", "Divide: 5817 / 62529 = 1939/20843", "Subtract: -9629 - (-6846) = -2783", "Subtract: 1939/20843 - (-2783) = 58008008/20843"], "final_answer": "58008008/20843", "answer_type": "rational", "kind": "expression", "math_text": "(1779 - (-4038)) / (71481 + (-8952)) - (-9629 - (-6846))", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1779, \"b\": -4038, \"c\": 71481, \"d\": -8952, \"e\": -9629, \"f\": -6846}", "seed": "17809072359722803118", "semantic_fingerprint": "sha256:32ed248107d9c3cc3d25a90376aec4106ce65c93a8f08c071d054d2a2bdee325", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001665", "prompt": "Calculate: 90617 + (-2274) * (-6274)", "solution_steps": ["Multiply: -2274 * (-6274) = 14267076", "Add: 90617 + 14267076 = 14357693"], "final_answer": "14357693", "answer_type": "integer", "kind": "expression", "math_text": "90617 + (-2274) * (-6274)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90617, \"b\": -2274, \"c\": -6274}", "seed": "7520172256889083534", "semantic_fingerprint": "sha256:93a234fccda95039f6a080b5cd36a81e780bf53773a3e7a7f5fc5fce92e69c1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001666", "prompt": "Calculate: -8726 * 6745 + 24342", "solution_steps": ["Multiply: -8726 * 6745 = -58856870", "Add: -58856870 + 24342 = -58832528"], "final_answer": "-58832528", "answer_type": "integer", "kind": "expression", "math_text": "-8726 * 6745 + 24342", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8726, \"b\": 6745, \"c\": 24342}", "seed": "1989500647383452135", "semantic_fingerprint": "sha256:7fbf3ad952f4a2a9903ae730875ec24ec20ed390f4432a67498ab6d2618904f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001667", "prompt": "What is (9515 + (-2381)) * (-7801)?", "solution_steps": ["Add: 9515 + (-2381) = 7134", "Multiply: 7134 * (-7801) = -55652334"], "final_answer": "-55652334", "answer_type": "integer", "kind": "expression", "math_text": "(9515 + (-2381)) * (-7801)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9515, \"b\": -2381, \"c\": -7801}", "seed": "5281897314114360119", "semantic_fingerprint": "sha256:364af849cf45526c1d6fe6a47a3bab53ae32dc82cce3df9455699c6b13e9923a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001668", "prompt": "What value of x satisfies 18x = x + 2210?", "solution_steps": ["Subtract x from both sides: 17x = 2210", "Divide both sides by 17: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = x + 2210", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": 2210, \"x\": 130}", "seed": "5840022998727112145", "semantic_fingerprint": "sha256:2d5da9a9d3ee12f6627bfd40bc7d2b5838a5180fa85cf94f186c2a20e4bbc86b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001669", "prompt": "Solve for x: 39(x + 5000) + 45588 = 24(x + 9992)", "solution_steps": ["Expand: 39x + 195000 + 45588 = 24(x + 9992)", "Expand: 39x + 195000 + 45588 = 24x + 239808", "Combine constants: 39x + 240588 = 24x + 239808", "Subtract 24x from both sides: 15x + 240588 = 239808", "Subtract 240588 from both sides: 15x = -780", "Divide both sides by 15: x = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x + 5000) + 45588 = 24(x + 9992)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5000, \"c\": 24, \"d\": 9992, \"f\": 45588, \"x\": -52}", "seed": "4644995799471034989", "semantic_fingerprint": "sha256:b8768894252b215bf75fb7921922394ac8cfbd021e0c8a4f499913be7bf8a7a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001670", "prompt": "Compute: -60409 - (-5146)", "solution_steps": ["Subtract: -60409 - (-5146) = -55263"], "final_answer": "-55263", "answer_type": "integer", "kind": "expression", "math_text": "-60409 - (-5146)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -60409, \"b\": -5146}", "seed": "8364923034798857763", "semantic_fingerprint": "sha256:0666a931e6a533e3c44a47a300425a818ad98deadd91bedacb3edbd76e1f8367", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001671", "prompt": "Evaluate: 87378 - (-3031) - (-2752) - 5491", "solution_steps": ["Subtract: 87378 - (-3031) = 90409", "Subtract: 90409 - (-2752) = 93161", "Subtract: 93161 - 5491 = 87670"], "final_answer": "87670", "answer_type": "integer", "kind": "expression", "math_text": "87378 - (-3031) - (-2752) - 5491", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87378, \"b\": -3031, \"c\": -2752, \"d\": 5491}", "seed": "16615009792201675332", "semantic_fingerprint": "sha256:a24946021ccdf5c1fc751fb31084b7a93734cea9b285eea3f062ed4244a70a51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001672", "prompt": "Compute: -36348 * (1416 - 7603)", "solution_steps": ["Subtract: 1416 - 7603 = -6187", "Multiply: -36348 * (-6187) = 224885076"], "final_answer": "224885076", "answer_type": "integer", "kind": "expression", "math_text": "-36348 * (1416 - 7603)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36348, \"b\": 1416, \"c\": 7603}", "seed": "11753661772214331358", "semantic_fingerprint": "sha256:63a849e28acc6f065958f6daf69942db2ca3cb22cf0f6fddd59ce5fbd4aa01e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001673", "prompt": "Compute: -79785 / (-29979)", "solution_steps": ["Divide: -79785 / (-29979) = 8865/3331"], "final_answer": "8865/3331", "answer_type": "rational", "kind": "expression", "math_text": "-79785 / (-29979)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79785, \"b\": -29979}", "seed": "2213087051821655804", "semantic_fingerprint": "sha256:3efd854a0d1f423cfd63f8293051563e2a9e839d3fd0fb908e7715238aca0ca0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001674", "prompt": "Calculate: -3331 - (-2253) * 93686", "solution_steps": ["Multiply: -2253 * 93686 = -211074558", "Subtract: -3331 - (-211074558) = 211071227"], "final_answer": "211071227", "answer_type": "integer", "kind": "expression", "math_text": "-3331 - (-2253) * 93686", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3331, \"b\": -2253, \"c\": 93686}", "seed": "2482081773934569710", "semantic_fingerprint": "sha256:d9b11fddd63303caeefd336ff79806a7e13d4e70181ccbb1319b6b9b54c0e2ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001675", "prompt": "Evaluate: -1163 + (-2166)", "solution_steps": ["Add: -1163 + (-2166) = -3329"], "final_answer": "-3329", "answer_type": "integer", "kind": "expression", "math_text": "-1163 + (-2166)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1163, \"b\": -2166}", "seed": "2245962232780834089", "semantic_fingerprint": "sha256:394125ad2665da05daa45015ae08b93bcddaddd9aa5463f715d91d8355beb1f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001676", "prompt": "Calculate: (47826 - 66916) * (-8838)", "solution_steps": ["Subtract: 47826 - 66916 = -19090", "Multiply: -19090 * (-8838) = 168717420"], "final_answer": "168717420", "answer_type": "integer", "kind": "expression", "math_text": "(47826 - 66916) * (-8838)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47826, \"b\": 66916, \"c\": -8838}", "seed": "3552633084493215834", "semantic_fingerprint": "sha256:3482ba659b599c454bc6b52059e776472c68f93ef9caf3e986240875571361d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001677", "prompt": "Solve the equation 27x + 6457 = x + 5793 for x.", "solution_steps": ["Subtract x from both sides: 26x + 6457 = 5793", "Subtract 6457 from both sides: 26x = -664", "Divide both sides by 26: x = -332/13"], "final_answer": "-332/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 6457 = x + 5793", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 6457, \"c\": 5793}", "seed": "7099928440164880898", "semantic_fingerprint": "sha256:2177837b7c4a2b0ef671361c72781c199d071fddd57e77e58972505ee8734edc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001678", "prompt": "Compute: -8334 + 6217", "solution_steps": ["Add: -8334 + 6217 = -2117"], "final_answer": "-2117", "answer_type": "integer", "kind": "expression", "math_text": "-8334 + 6217", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8334, \"b\": 6217}", "seed": "6749478950539085883", "semantic_fingerprint": "sha256:d10ee9c9d0b3a068b85331268493043ea4ed123eabf14970ad5f1698cf194daf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001679", "prompt": "Evaluate: (3117 + (-6410 * 36202 + 4765)) * (5849 - 9052)", "solution_steps": ["Multiply: -6410 * 36202 = -232054820", "Add: -232054820 + 4765 = -232050055", "Add: 3117 + (-232050055) = -232046938", "Subtract: 5849 - 9052 = -3203", "Multiply: -232046938 * (-3203) = 743246342414"], "final_answer": "743246342414", "answer_type": "integer", "kind": "expression", "math_text": "(3117 + (-6410 * 36202 + 4765)) * (5849 - 9052)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ (* n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3117, \"b\": -6410, \"c\": 36202, \"d\": 4765, \"e\": 5849, \"f\": 9052}", "seed": "5378891222617056978", "semantic_fingerprint": "sha256:0e3519726bd8ee775fc17a6f1b18f5f7a7f329f5f3ea2f0fe897abfb431a2b73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001680", "prompt": "Calculate: 42391 / (9227 / (-76942))", "solution_steps": ["Divide: 9227 / (-76942) = -9227/76942", "Divide: 42391 / (-9227/76942) = -3261648322/9227"], "final_answer": "-3261648322/9227", "answer_type": "rational", "kind": "expression", "math_text": "42391 / (9227 / (-76942))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42391, \"b\": 9227, \"c\": -76942}", "seed": "13900947977684766452", "semantic_fingerprint": "sha256:2a519300dd238e2349c928348aad2609114fa24ebc027a4c09e7782a4ff2fad4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001681", "prompt": "Calculate: (2351 - 20925) / 35760", "solution_steps": ["Subtract: 2351 - 20925 = -18574", "Divide: -18574 / 35760 = -9287/17880"], "final_answer": "-9287/17880", "answer_type": "rational", "kind": "expression", "math_text": "(2351 - 20925) / 35760", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2351, \"b\": 20925, \"c\": 35760}", "seed": "1492076970438177003", "semantic_fingerprint": "sha256:d5e8a0c210d8715bc3a6d8fac123830df36f6663fb8f14cdb73d0e94fad11dda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001682", "prompt": "Calculate: -75964 + 1219 + (-3477 + (-7872) * (-6737))", "solution_steps": ["Add: -75964 + 1219 = -74745", "Multiply: -7872 * (-6737) = 53033664", "Add: -3477 + 53033664 = 53030187", "Add: -74745 + 53030187 = 52955442"], "final_answer": "52955442", "answer_type": "integer", "kind": "expression", "math_text": "-75964 + 1219 + (-3477 + (-7872) * (-6737))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -75964, \"b\": 1219, \"c\": -3477, \"d\": -7872, \"e\": -6737}", "seed": "12503052310100926780", "semantic_fingerprint": "sha256:ef0f93d5217e4f9bf39b11e75b759ba45492a69d590079ec754b99dc032b0615", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001683", "prompt": "Calculate: -23218 - (-1735 + 30594 + 5194) - (-8921)", "solution_steps": ["Add: -1735 + 30594 = 28859", "Add: 28859 + 5194 = 34053", "Subtract: -23218 - 34053 = -57271", "Subtract: -57271 - (-8921) = -48350"], "final_answer": "-48350", "answer_type": "integer", "kind": "expression", "math_text": "-23218 - (-1735 + 30594 + 5194) - (-8921)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23218, \"b\": -1735, \"c\": 30594, \"d\": 5194, \"e\": -8921}", "seed": "16435682433918601388", "semantic_fingerprint": "sha256:6f0c68e3fd155fbc9edf22c274f8c7b20b5574d0325f272bc738a7a54cb22f5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001684", "prompt": "Calculate: 8748 - (-9824 + (-97650))", "solution_steps": ["Add: -9824 + (-97650) = -107474", "Subtract: 8748 - (-107474) = 116222"], "final_answer": "116222", "answer_type": "integer", "kind": "expression", "math_text": "8748 - (-9824 + (-97650))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8748, \"b\": -9824, \"c\": -97650}", "seed": "13264273742729370949", "semantic_fingerprint": "sha256:50cc8fcde00262a0f2bb2afd0a3459debcd0d96dbb602168543d2ab70d397c96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001685", "prompt": "Solve the equation 32(x + 1815) = x + 55910 for x.", "solution_steps": ["Expand: 32x + 58080 = x + 55910", "Subtract x from both sides: 31x + 58080 = 55910", "Subtract 58080 from both sides: 31x = -2170", "Divide both sides by 31: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x + 1815) = x + 55910", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1815, \"d\": 55910, \"x\": -70}", "seed": "3665855882123223327", "semantic_fingerprint": "sha256:f375bb2ef532107b7708238a01c4cde5c7867ed64ff014a6ed875094f20f31d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001686", "prompt": "Compute: -8332 / (-1809 + 1976)", "solution_steps": ["Add: -1809 + 1976 = 167", "Divide: -8332 / 167 = -8332/167"], "final_answer": "-8332/167", "answer_type": "rational", "kind": "expression", "math_text": "-8332 / (-1809 + 1976)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8332, \"b\": -1809, \"c\": 1976}", "seed": "13140411154948093278", "semantic_fingerprint": "sha256:67e3b77cf023a0960fd63d2be57782c2c92e420ccb7fc23c91f41f85aceb3887", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001687", "prompt": "Solve for x: x = 31x + 3420", "solution_steps": ["Subtract 31x from both sides: -30x = 3420", "Divide both sides by -30: x = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 31x + 3420", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 3420, \"x\": -114}", "seed": "12852093279050899582", "semantic_fingerprint": "sha256:ec30fac8fd75329bbc3bc0b063c96abf710fca9173a955fddb78373d34e4cc9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001688", "prompt": "Solve the equation x + 72007 = 25(x - 80982) + 4729 for x.", "solution_steps": ["Expand: x + 72007 = 25x - 2024550 + 4729", "Combine constants: x + 72007 = 25x - 2019821", "Subtract 25x from both sides: -24x + 72007 = -2019821", "Subtract 72007 from both sides: -24x = -2091828", "Divide both sides by -24: x = 174319/2"], "final_answer": "174319/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 72007 = 25(x - 80982) + 4729", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 72007, \"b\": 25, \"c\": 80982, \"d\": 4729}", "seed": "15061583088365805642", "semantic_fingerprint": "sha256:6480e4e2d8613a869069e40b5881761320e8897b110146b0e6833ed5f0e9cf5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001689", "prompt": "Calculate: -2882 * 4006", "solution_steps": ["Multiply: -2882 * 4006 = -11545292"], "final_answer": "-11545292", "answer_type": "integer", "kind": "expression", "math_text": "-2882 * 4006", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2882, \"b\": 4006}", "seed": "1218813518687469981", "semantic_fingerprint": "sha256:66866106f638dc16264376160f9d7651230db37cd6dfdb20197d8d706eb6ae24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001690", "prompt": "Evaluate: 1528 + (-79320) * (-16917 + 16688)", "solution_steps": ["Add: -16917 + 16688 = -229", "Multiply: -79320 * (-229) = 18164280", "Add: 1528 + 18164280 = 18165808"], "final_answer": "18165808", "answer_type": "integer", "kind": "expression", "math_text": "1528 + (-79320) * (-16917 + 16688)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1528, \"b\": -79320, \"c\": -16917, \"d\": 16688}", "seed": "2177105858171813346", "semantic_fingerprint": "sha256:ea06f9540b699466156cf14cf27e200c35b0e37a8daac4cdf4a975d74a9b8543", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001691", "prompt": "Evaluate: 2659 - (5489 - 7508) / (4172 + 6577)", "solution_steps": ["Subtract: 5489 - 7508 = -2019", "Add: 4172 + 6577 = 10749", "Divide: -2019 / 10749 = -673/3583", "Subtract: 2659 - (-673/3583) = 9527870/3583"], "final_answer": "9527870/3583", "answer_type": "rational", "kind": "expression", "math_text": "2659 - (5489 - 7508) / (4172 + 6577)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2659, \"b\": 5489, \"c\": 7508, \"d\": 4172, \"e\": 6577}", "seed": "4209002662089232044", "semantic_fingerprint": "sha256:8e2677bd8a180d80f62cc6a178d747a64b0784e6f13bd00970b2383331930f70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001692", "prompt": "Compute: 89987 - 72231 * 6776 + (-5322 - 1678)", "solution_steps": ["Multiply: 72231 * 6776 = 489437256", "Subtract: 89987 - 489437256 = -489347269", "Subtract: -5322 - 1678 = -7000", "Add: -489347269 + (-7000) = -489354269"], "final_answer": "-489354269", "answer_type": "integer", "kind": "expression", "math_text": "89987 - 72231 * 6776 + (-5322 - 1678)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 89987, \"b\": 72231, \"c\": 6776, \"d\": -5322, \"e\": 1678}", "seed": "4242920778924468625", "semantic_fingerprint": "sha256:c63dfe4489f4c5e12ea374f1cb9ae64b2fc07b2584064a7ae41c2687aa0bcf58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001693", "prompt": "Calculate: -9896 / 5563 + (-43128 + (-6107))", "solution_steps": ["Divide: -9896 / 5563 = -9896/5563", "Add: -43128 + (-6107) = -49235", "Add: -9896/5563 + (-49235) = -273904201/5563"], "final_answer": "-273904201/5563", "answer_type": "rational", "kind": "expression", "math_text": "-9896 / 5563 + (-43128 + (-6107))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9896, \"b\": 5563, \"c\": -43128, \"d\": -6107}", "seed": "9733082416894658614", "semantic_fingerprint": "sha256:f356b0ac6896a2149859ab481520050825a4c3cba66ce08e62f4554cc6f3630f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001694", "prompt": "Solve for x: -39x + 7870 = 27(x + 8263) - 8125", "solution_steps": ["Expand: -39x + 7870 = 27x + 223101 - 8125", "Combine constants: -39x + 7870 = 27x + 214976", "Subtract 27x from both sides: -66x + 7870 = 214976", "Subtract 7870 from both sides: -66x = 207106", "Divide both sides by -66: x = -103553/33"], "final_answer": "-103553/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39x + 7870 = 27(x + 8263) - 8125", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 7870, \"c\": 27, \"d\": 8263, \"e\": 8125}", "seed": "10708215077090796733", "semantic_fingerprint": "sha256:fea9a1dd1fa67b1a4587e4acc894a7a05b5779ba26c34089663482a14e4c2b36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001695", "prompt": "Evaluate: (1948 - (-52559)) * (-9752)", "solution_steps": ["Subtract: 1948 - (-52559) = 54507", "Multiply: 54507 * (-9752) = -531552264"], "final_answer": "-531552264", "answer_type": "integer", "kind": "expression", "math_text": "(1948 - (-52559)) * (-9752)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1948, \"b\": -52559, \"c\": -9752}", "seed": "3814912526729064807", "semantic_fingerprint": "sha256:650b627438b6457256f777b58e9a3d1a6fd55caedb86e52d37e95a40b0d045f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001696", "prompt": "Compute: -9411 - (-5881) + 63792 * (-9106)", "solution_steps": ["Subtract: -9411 - (-5881) = -3530", "Multiply: 63792 * (-9106) = -580889952", "Add: -3530 + (-580889952) = -580893482"], "final_answer": "-580893482", "answer_type": "integer", "kind": "expression", "math_text": "-9411 - (-5881) + 63792 * (-9106)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9411, \"b\": -5881, \"c\": 63792, \"d\": -9106}", "seed": "11921016843153504459", "semantic_fingerprint": "sha256:f4a58c1a0986f8c4f31e45424d531070ae70b51c8e692c444de15fe4c3507682", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001697", "prompt": "Calculate: 6299 * (-38266) - 7279", "solution_steps": ["Multiply: 6299 * (-38266) = -241037534", "Subtract: -241037534 - 7279 = -241044813"], "final_answer": "-241044813", "answer_type": "integer", "kind": "expression", "math_text": "6299 * (-38266) - 7279", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6299, \"b\": -38266, \"c\": 7279}", "seed": "4760487183240563417", "semantic_fingerprint": "sha256:2ef4840c05a853e4194de2973e4e885bb0d7e0d6da0d7e3eab037369d3234fa8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001698", "prompt": "Calculate: -64462 - (-5849) - (-60211)", "solution_steps": ["Subtract: -64462 - (-5849) = -58613", "Subtract: -58613 - (-60211) = 1598"], "final_answer": "1598", "answer_type": "integer", "kind": "expression", "math_text": "-64462 - (-5849) - (-60211)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64462, \"b\": -5849, \"c\": -60211}", "seed": "15447954085326902959", "semantic_fingerprint": "sha256:8169470f827e27523bcd111c343ef69f69e46be5154771ebbe40ca81a54383fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001699", "prompt": "Evaluate: 76083 * 6025", "solution_steps": ["Multiply: 76083 * 6025 = 458400075"], "final_answer": "458400075", "answer_type": "integer", "kind": "expression", "math_text": "76083 * 6025", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 76083, \"b\": 6025}", "seed": "11550297824344950228", "semantic_fingerprint": "sha256:2be746a518ad3830ff1ffe5797fe7540ec42c61be0e1be3d39fef8ac7cb12338", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001700", "prompt": "Evaluate: 6950 + (-64709) * 70758", "solution_steps": ["Multiply: -64709 * 70758 = -4578679422", "Add: 6950 + (-4578679422) = -4578672472"], "final_answer": "-4578672472", "answer_type": "integer", "kind": "expression", "math_text": "6950 + (-64709) * 70758", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6950, \"b\": -64709, \"c\": 70758}", "seed": "14770207204203832968", "semantic_fingerprint": "sha256:106801d438d941e4d29eab147dd928347348c1c56ee19552dc72609437492b0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001701", "prompt": "What is 6657 - 3583?", "solution_steps": ["Subtract: 6657 - 3583 = 3074"], "final_answer": "3074", "answer_type": "integer", "kind": "expression", "math_text": "6657 - 3583", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6657, \"b\": 3583}", "seed": "8565514290330486050", "semantic_fingerprint": "sha256:b65b06961a9b409b2d6b016968a7c46ed5f1adf94731b6afd51e3902ab9245d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001702", "prompt": "Compute: 95171 / (-81718) + 35225 + 59331", "solution_steps": ["Divide: 95171 / (-81718) = -95171/81718", "Add: -95171/81718 + 35225 = 2878421379/81718", "Add: 2878421379/81718 + 59331 = 7726832037/81718"], "final_answer": "7726832037/81718", "answer_type": "rational", "kind": "expression", "math_text": "95171 / (-81718) + 35225 + 59331", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 95171, \"b\": -81718, \"c\": 35225, \"d\": 59331}", "seed": "16953195714896870178", "semantic_fingerprint": "sha256:8a3f42cf1f4d31ed5d4b1df9c21e9dc687de6db94d7f42c5a720b35a43761dfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001703", "prompt": "Find x: -22x = x", "solution_steps": ["Subtract x from both sides: -23x = 0", "Divide both sides by -23: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22}", "seed": "13828118218062022753", "semantic_fingerprint": "sha256:0590d178121560128d5674a1fdd5d002303500080862dd70d6bc3719e7a6cce7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001704", "prompt": "Solve the equation x - 27301 = 27x - 23089 for x.", "solution_steps": ["Subtract 27x from both sides: -26x - 27301 = -23089", "Add 27301 to both sides: -26x = 4212", "Divide both sides by -26: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 27301 = 27x - 23089", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27301, \"b\": 27, \"d\": -23089, \"x\": -162}", "seed": "5546228087065922992", "semantic_fingerprint": "sha256:2ed52e14f2aa40569a6f4a82831bec6cd038d630b2a8495c6cfffd25d71417a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001705", "prompt": "Find x: 17x - 1152 = 33x", "solution_steps": ["Subtract 33x from both sides: -16x - 1152 = 0", "Add 1152 to both sides: -16x = 1152", "Divide both sides by -16: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x - 1152 = 33x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 33, \"d\": -1152, \"x\": -72}", "seed": "15833380833146857538", "semantic_fingerprint": "sha256:e4fd5c014582f48e3abc4317bc5b13df92c0b70d42c5a8c6958e165f95225943", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001706", "prompt": "Compute: 5588 * ((-8360 + (-8160)) * (-3455))", "solution_steps": ["Add: -8360 + (-8160) = -16520", "Multiply: -16520 * (-3455) = 57076600", "Multiply: 5588 * 57076600 = 318944040800"], "final_answer": "318944040800", "answer_type": "integer", "kind": "expression", "math_text": "5588 * ((-8360 + (-8160)) * (-3455))", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5588, \"b\": -8360, \"c\": -8160, \"d\": -3455}", "seed": "7593529878340493586", "semantic_fingerprint": "sha256:850dffcee9ed02903ca52036e6309bb06af573267b59da64c94b0e7cce86aef4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001707", "prompt": "Compute: -8723 - (-1599) / 5817", "solution_steps": ["Divide: -1599 / 5817 = -533/1939", "Subtract: -8723 - (-533/1939) = -16913364/1939"], "final_answer": "-16913364/1939", "answer_type": "rational", "kind": "expression", "math_text": "-8723 - (-1599) / 5817", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8723, \"b\": -1599, \"c\": 5817}", "seed": "8969105966683973205", "semantic_fingerprint": "sha256:2f20fa276b4e56ddcc6deb99cfb60a7da98f0a4191e4147e5e17085b2082189f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001708", "prompt": "What is -9814 / (-7999 + (-13476)) - (-51182)?", "solution_steps": ["Add: -7999 + (-13476) = -21475", "Divide: -9814 / (-21475) = 9814/21475", "Subtract: 9814/21475 - (-51182) = 1099143264/21475"], "final_answer": "1099143264/21475", "answer_type": "rational", "kind": "expression", "math_text": "-9814 / (-7999 + (-13476)) - (-51182)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9814, \"b\": -7999, \"c\": -13476, \"d\": -51182}", "seed": "1236271352422855593", "semantic_fingerprint": "sha256:b0451cd3de91939d1cb2f7e4da61424e863f4a3f4a4de3633f6d06d5c9202d1b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001709", "prompt": "Compute: 4320 - (-41088) * (-54076 - 5806)", "solution_steps": ["Subtract: -54076 - 5806 = -59882", "Multiply: -41088 * (-59882) = 2460431616", "Subtract: 4320 - 2460431616 = -2460427296"], "final_answer": "-2460427296", "answer_type": "integer", "kind": "expression", "math_text": "4320 - (-41088) * (-54076 - 5806)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4320, \"b\": -41088, \"c\": -54076, \"d\": 5806}", "seed": "10979900623891195832", "semantic_fingerprint": "sha256:5e931670b0db10c9cb0b70dc2a35739eaacf6b2323f5002afdb3452227bdf0e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001710", "prompt": "What is 6929 - 4590 * (-60242 + (-9188))?", "solution_steps": ["Add: -60242 + (-9188) = -69430", "Multiply: 4590 * (-69430) = -318683700", "Subtract: 6929 - (-318683700) = 318690629"], "final_answer": "318690629", "answer_type": "integer", "kind": "expression", "math_text": "6929 - 4590 * (-60242 + (-9188))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6929, \"b\": 4590, \"c\": -60242, \"d\": -9188}", "seed": "6705808232257630031", "semantic_fingerprint": "sha256:b5e5be6b20bfd701349e1b76d08173dabb715aa40c8ef6f9409b4a1fcb781c55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001711", "prompt": "What is -74371 - 87532 - (6023 + 4567)?", "solution_steps": ["Subtract: -74371 - 87532 = -161903", "Add: 6023 + 4567 = 10590", "Subtract: -161903 - 10590 = -172493"], "final_answer": "-172493", "answer_type": "integer", "kind": "expression", "math_text": "-74371 - 87532 - (6023 + 4567)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -74371, \"b\": 87532, \"c\": 6023, \"d\": 4567}", "seed": "4890032738841517030", "semantic_fingerprint": "sha256:145c2041542a76b887164c44e572aab1c142402ba0df4f452960262fa1fc8c9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001712", "prompt": "Compute: -3202 - (85608 + 5247)", "solution_steps": ["Add: 85608 + 5247 = 90855", "Subtract: -3202 - 90855 = -94057"], "final_answer": "-94057", "answer_type": "integer", "kind": "expression", "math_text": "-3202 - (85608 + 5247)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3202, \"b\": 85608, \"c\": 5247}", "seed": "16317491100700353143", "semantic_fingerprint": "sha256:b497776bb3800d9eddcd134498e630b9ac94fdb7be5a5500a0f4cccbe1671ab0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001713", "prompt": "What is -4281 * 3258 + (-4900)?", "solution_steps": ["Multiply: -4281 * 3258 = -13947498", "Add: -13947498 + (-4900) = -13952398"], "final_answer": "-13952398", "answer_type": "integer", "kind": "expression", "math_text": "-4281 * 3258 + (-4900)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4281, \"b\": 3258, \"c\": -4900}", "seed": "12996013656890560309", "semantic_fingerprint": "sha256:610f9f17546549a9da303e251ed0ebd8256964a875859e7c198727467b1cfa93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001714", "prompt": "Compute: 34784 - (-1303) * 3619 - (-95842 - (6998 + (-1100)))", "solution_steps": ["Multiply: -1303 * 3619 = -4715557", "Subtract: 34784 - (-4715557) = 4750341", "Add: 6998 + (-1100) = 5898", "Subtract: -95842 - 5898 = -101740", "Subtract: 4750341 - (-101740) = 4852081"], "final_answer": "4852081", "answer_type": "integer", "kind": "expression", "math_text": "34784 - (-1303) * 3619 - (-95842 - (6998 + (-1100)))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34784, \"b\": -1303, \"c\": 3619, \"d\": -95842, \"e\": 6998, \"f\": -1100}", "seed": "5444660442618958021", "semantic_fingerprint": "sha256:40239163ee2dfa5e2c98df8853f2a2bb0d1aa2f2b7d390aff9f17520b2c6086e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001715", "prompt": "Find x: 34(x - 2231) + 76688 = 40x", "solution_steps": ["Expand: 34x - 75854 + 76688 = 40x", "Combine constants: 34x + 834 = 40x", "Subtract 40x from both sides: -6x + 834 = 0", "Subtract 834 from both sides: -6x = -834", "Divide both sides by -6: x = 139"], "final_answer": "139", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x - 2231) + 76688 = 40x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2231, \"c\": 40, \"e\": 76688, \"x\": 139}", "seed": "437851786101709004", "semantic_fingerprint": "sha256:cd72e3572b43bc501386097bf85ce131bb720e6c3a582af832f786507a85e94b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001716", "prompt": "Compute: 1957 * 74883", "solution_steps": ["Multiply: 1957 * 74883 = 146546031"], "final_answer": "146546031", "answer_type": "integer", "kind": "expression", "math_text": "1957 * 74883", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1957, \"b\": 74883}", "seed": "12979554331411061421", "semantic_fingerprint": "sha256:3450ed3610f44a186f9b88696e68785c7bc258d3218032bb4b03999ed1ac1830", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001717", "prompt": "What value of x satisfies 34(x - 52292) - 12026 = x?", "solution_steps": ["Expand: 34x - 1777928 - 12026 = x", "Combine constants: 34x - 1789954 = x", "Subtract x from both sides: 33x - 1789954 = 0", "Add 1789954 to both sides: 33x = 1789954", "Divide both sides by 33: x = 1789954/33"], "final_answer": "1789954/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 52292) - 12026 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 52292, \"c\": 12026}", "seed": "8370623863383844072", "semantic_fingerprint": "sha256:e36cf25cae6bdb1178e160954ab33ffa8669574c4e69ff570cdb0a8dbad321ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001718", "prompt": "What is 13101 / 85572 + 64919?", "solution_steps": ["Divide: 13101 / 85572 = 4367/28524", "Add: 4367/28524 + 64919 = 1851753923/28524"], "final_answer": "1851753923/28524", "answer_type": "rational", "kind": "expression", "math_text": "13101 / 85572 + 64919", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13101, \"b\": 85572, \"c\": 64919}", "seed": "5094742046562753469", "semantic_fingerprint": "sha256:466367d80910e495f9384cf5dc6af8348d89a79482784654bd0a3fc3b4a97147", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001719", "prompt": "Solve for x: x = -20x + 2625", "solution_steps": ["Add 20x to both sides: 21x = 2625", "Divide both sides by 21: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -20x + 2625", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"c\": 2625, \"x\": 125}", "seed": "2499199601885335158", "semantic_fingerprint": "sha256:9cd16afcf5a0dc03b2f09f6d97d9e0945e421fa241803ec365207660786ddd09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001720", "prompt": "What value of x satisfies 15x = -37x?", "solution_steps": ["Add 37x to both sides: 52x = 0", "Divide both sides by 52: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = -37x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -37}", "seed": "9864019283939463749", "semantic_fingerprint": "sha256:f8fbee959f46d9d0ca7ef2b334d67ca026cc8d4924213fb10ac4746f8f417ae5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001721", "prompt": "Compute: 8346 / (-49400) * 5160 * (34915 - 7896) / 9600", "solution_steps": ["Divide: 8346 / (-49400) = -321/1900", "Multiply: (-321/1900) * 5160 = -82818/95", "Subtract: 34915 - 7896 = 27019", "Multiply: (-82818/95) * 27019 = -2237659542/95", "Divide: (-2237659542/95) / 9600 = -372943257/152000"], "final_answer": "-372943257/152000", "answer_type": "rational", "kind": "expression", "math_text": "8346 / (-49400) * 5160 * (34915 - 7896) / 9600", "variable": null, "family": "expression_5op", "shape": "(/ (* (* (/ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8346, \"b\": -49400, \"c\": 5160, \"d\": 34915, \"e\": 7896, \"f\": 9600}", "seed": "4480209976072270350", "semantic_fingerprint": "sha256:3ea36ac2c5d5a76ea09628ce2de8ab58e947f8ee1dfd3b3f4396ae2af8e14a1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001722", "prompt": "Evaluate: (-16545 + 8418) / (-50770 / 8872 - (-1409))", "solution_steps": ["Add: -16545 + 8418 = -8127", "Divide: -50770 / 8872 = -25385/4436", "Subtract: -25385/4436 - (-1409) = 6224939/4436", "Divide: -8127 / (6224939/4436) = -5150196/889277"], "final_answer": "-5150196/889277", "answer_type": "rational", "kind": "expression", "math_text": "(-16545 + 8418) / (-50770 / 8872 - (-1409))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16545, \"b\": 8418, \"c\": -50770, \"d\": 8872, \"e\": -1409}", "seed": "16937038110795761361", "semantic_fingerprint": "sha256:90c9677a53e6f784fd25e403891aabcb6eb4d63ec6b76703fe2437076bbe1da3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001723", "prompt": "Compute: 7444 * 1330", "solution_steps": ["Multiply: 7444 * 1330 = 9900520"], "final_answer": "9900520", "answer_type": "integer", "kind": "expression", "math_text": "7444 * 1330", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7444, \"b\": 1330}", "seed": "9408181162910335138", "semantic_fingerprint": "sha256:4c0484bf3a1fd1f721322f4c2770c53ac5247196b2c237cfa964ac46cd68900e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001724", "prompt": "Calculate: -1206 + 9105 - 7616", "solution_steps": ["Add: -1206 + 9105 = 7899", "Subtract: 7899 - 7616 = 283"], "final_answer": "283", "answer_type": "integer", "kind": "expression", "math_text": "-1206 + 9105 - 7616", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1206, \"b\": 9105, \"c\": 7616}", "seed": "10137449903830865544", "semantic_fingerprint": "sha256:1074d9d834596e1d87e5c7466cf23c05bfdce7ea2469cefe31dd05f34d93c7bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001725", "prompt": "Calculate: -9515 / (-6614)", "solution_steps": ["Divide: -9515 / (-6614) = 9515/6614"], "final_answer": "9515/6614", "answer_type": "rational", "kind": "expression", "math_text": "-9515 / (-6614)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9515, \"b\": -6614}", "seed": "1420068445355149849", "semantic_fingerprint": "sha256:852a661b1870c779b080d07903f663faf3cad232752dd800ea4895b35e7bb1cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001726", "prompt": "Compute: -75396 / 11686", "solution_steps": ["Divide: -75396 / 11686 = -37698/5843"], "final_answer": "-37698/5843", "answer_type": "rational", "kind": "expression", "math_text": "-75396 / 11686", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75396, \"b\": 11686}", "seed": "3146674639765725865", "semantic_fingerprint": "sha256:353212b25a111c4901a220245cb9e35ad3d533064a8b6fad99d7dd53dd5df9db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001727", "prompt": "Find x: -33x + 2869 = x - 2537", "solution_steps": ["Subtract x from both sides: -34x + 2869 = -2537", "Subtract 2869 from both sides: -34x = -5406", "Divide both sides by -34: x = 159"], "final_answer": "159", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x + 2869 = x - 2537", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 2869, \"d\": -2537, \"x\": 159}", "seed": "12620751279173159402", "semantic_fingerprint": "sha256:b568baecc0cb1208b0d38abe50fb0af815fc613cbcfcb554217ca3eff97dd9c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001728", "prompt": "Evaluate: 2952 / (-2784) + (-97676) - 1601", "solution_steps": ["Divide: 2952 / (-2784) = -123/116", "Add: -123/116 + (-97676) = -11330539/116", "Subtract: -11330539/116 - 1601 = -11516255/116"], "final_answer": "-11516255/116", "answer_type": "rational", "kind": "expression", "math_text": "2952 / (-2784) + (-97676) - 1601", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2952, \"b\": -2784, \"c\": -97676, \"d\": 1601}", "seed": "1334514818096854759", "semantic_fingerprint": "sha256:758f40280c2dd929db1bd66b434166e39ab9580172e3987788d2890281ae821b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001729", "prompt": "Compute: -18894 - 96931", "solution_steps": ["Subtract: -18894 - 96931 = -115825"], "final_answer": "-115825", "answer_type": "integer", "kind": "expression", "math_text": "-18894 - 96931", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -18894, \"b\": 96931}", "seed": "13376107529051633538", "semantic_fingerprint": "sha256:4bb66d6181a3d600deb234e4d2e1518a38d970a24e0cd051f056b22ac93c243b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001730", "prompt": "Solve the equation 27(x - 6110) = x - 1718 for x.", "solution_steps": ["Expand: 27x - 164970 = x - 1718", "Subtract x from both sides: 26x - 164970 = -1718", "Add 164970 to both sides: 26x = 163252", "Divide both sides by 26: x = 81626/13"], "final_answer": "81626/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 6110) = x - 1718", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 6110, \"c\": 1718}", "seed": "14034677589165495784", "semantic_fingerprint": "sha256:cabd8b1edb91e448c1bb290bc2c1cbcc1a181ddb4047b200aaa950ee9b3b80b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001731", "prompt": "What value of x satisfies -33x - 4080 = x?", "solution_steps": ["Subtract x from both sides: -34x - 4080 = 0", "Add 4080 to both sides: -34x = 4080", "Divide both sides by -34: x = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x - 4080 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": -4080, \"x\": -120}", "seed": "17469226985545853808", "semantic_fingerprint": "sha256:e48a61b86d1bfd8ff5ae0d7da881db1eebb2ff6798708488b6b5e5f1ae527899", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001732", "prompt": "Solve the equation 31(x + 8017) + 25650 = 16(x + 9343) for x.", "solution_steps": ["Expand: 31x + 248527 + 25650 = 16(x + 9343)", "Expand: 31x + 248527 + 25650 = 16x + 149488", "Combine constants: 31x + 274177 = 16x + 149488", "Subtract 16x from both sides: 15x + 274177 = 149488", "Subtract 274177 from both sides: 15x = -124689", "Divide both sides by 15: x = -41563/5"], "final_answer": "-41563/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 8017) + 25650 = 16(x + 9343)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 8017, \"c\": 25650, \"d\": 16, \"e\": 9343}", "seed": "6350479772160565147", "semantic_fingerprint": "sha256:112692614f7e15646eb6bc4902bf7cf8bd38cf17bf355f166b27ed84cbeaffc4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001733", "prompt": "Evaluate: 1964 + (-9369) - (-8900)", "solution_steps": ["Add: 1964 + (-9369) = -7405", "Subtract: -7405 - (-8900) = 1495"], "final_answer": "1495", "answer_type": "integer", "kind": "expression", "math_text": "1964 + (-9369) - (-8900)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1964, \"b\": -9369, \"c\": -8900}", "seed": "1032980883829102419", "semantic_fingerprint": "sha256:023dc2d41174e325f1537a73d518d732a21ad7cbe275952b61bcc525943ab419", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001734", "prompt": "Compute: 5247 * 9801", "solution_steps": ["Multiply: 5247 * 9801 = 51425847"], "final_answer": "51425847", "answer_type": "integer", "kind": "expression", "math_text": "5247 * 9801", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5247, \"b\": 9801}", "seed": "10282811436032525240", "semantic_fingerprint": "sha256:effd9540c97c609c12d7a9100c0d54798a4461ff30e94ed907438f60df359145", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001735", "prompt": "Find x: 28(x - 7912) + 4573 = 34(x + 8013) + 27475", "solution_steps": ["Expand: 28x - 221536 + 4573 = 34(x + 8013) + 27475", "Expand: 28x - 221536 + 4573 = 34x + 272442 + 27475", "Combine constants: 28x - 216963 = 34x + 272442 + 27475", "Combine constants: 28x - 216963 = 34x + 299917", "Subtract 34x from both sides: -6x - 216963 = 299917", "Add 216963 to both sides: -6x = 516880", "Divide both sides by -6: x = -258440/3"], "final_answer": "-258440/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 7912) + 4573 = 34(x + 8013) + 27475", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 7912, \"c\": 4573, \"d\": 34, \"e\": 8013, \"f\": 27475}", "seed": "7949640236538615616", "semantic_fingerprint": "sha256:83b33dfdb93f0330f25b1ea84f6ca6d88718d18a425bc1208da67d2d1b5233f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001736", "prompt": "Evaluate: (-36661 + 86116) * (7601 + 1479)", "solution_steps": ["Add: -36661 + 86116 = 49455", "Add: 7601 + 1479 = 9080", "Multiply: 49455 * 9080 = 449051400"], "final_answer": "449051400", "answer_type": "integer", "kind": "expression", "math_text": "(-36661 + 86116) * (7601 + 1479)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36661, \"b\": 86116, \"c\": 7601, \"d\": 1479}", "seed": "14071995365448173443", "semantic_fingerprint": "sha256:dd6e9fb4d3d36ed63a80e81674ff1b1f3d411110ced22400079025cf1e7d513a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001737", "prompt": "Compute: 86471 - (-19281) * (-6104)", "solution_steps": ["Multiply: -19281 * (-6104) = 117691224", "Subtract: 86471 - 117691224 = -117604753"], "final_answer": "-117604753", "answer_type": "integer", "kind": "expression", "math_text": "86471 - (-19281) * (-6104)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86471, \"b\": -19281, \"c\": -6104}", "seed": "9131862245942781008", "semantic_fingerprint": "sha256:d75ad2482c479c015e85765c9483c27dfe80a1713a61e8bec864cce2e4ee7ab9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001738", "prompt": "Evaluate: (-1617 + (-2465)) * 33888", "solution_steps": ["Add: -1617 + (-2465) = -4082", "Multiply: -4082 * 33888 = -138330816"], "final_answer": "-138330816", "answer_type": "integer", "kind": "expression", "math_text": "(-1617 + (-2465)) * 33888", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1617, \"b\": -2465, \"c\": 33888}", "seed": "2487527375044439099", "semantic_fingerprint": "sha256:d9776b33bffbbde0d0f12aba7b9096d6344b0776974818f6f6aa0211e03f54bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001739", "prompt": "Find x: 15x + 96075 = 27(x + 3637)", "solution_steps": ["Expand: 15x + 96075 = 27x + 98199", "Subtract 27x from both sides: -12x + 96075 = 98199", "Subtract 96075 from both sides: -12x = 2124", "Divide both sides by -12: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x + 96075 = 27(x + 3637)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 27, \"c\": 3637, \"e\": 96075, \"x\": -177}", "seed": "679039898402809065", "semantic_fingerprint": "sha256:96d310b6a5b1f4347fa9b3981029f7bb59bcaa1bc303f304ff83c193cea32fe0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001740", "prompt": "Compute: 5995 / 65016", "solution_steps": ["Divide: 5995 / 65016 = 5995/65016"], "final_answer": "5995/65016", "answer_type": "rational", "kind": "expression", "math_text": "5995 / 65016", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5995, \"b\": 65016}", "seed": "2461311769892813112", "semantic_fingerprint": "sha256:2d16b4a001552268498b95ec5d7dbbc7dacac9fead57b335d20c5c6dcf4b8c00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001741", "prompt": "Evaluate: 1727 + 27715 * (-33761)", "solution_steps": ["Multiply: 27715 * (-33761) = -935686115", "Add: 1727 + (-935686115) = -935684388"], "final_answer": "-935684388", "answer_type": "integer", "kind": "expression", "math_text": "1727 + 27715 * (-33761)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1727, \"b\": 27715, \"c\": -33761}", "seed": "15401365420748164042", "semantic_fingerprint": "sha256:3c2772972f47feaeecb019730b6653ca695ff4056781609eaa27f9c49579b3cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001742", "prompt": "What is -10189 - (96500 * (-3464) - 29821)?", "solution_steps": ["Multiply: 96500 * (-3464) = -334276000", "Subtract: -334276000 - 29821 = -334305821", "Subtract: -10189 - (-334305821) = 334295632"], "final_answer": "334295632", "answer_type": "integer", "kind": "expression", "math_text": "-10189 - (96500 * (-3464) - 29821)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -10189, \"b\": 96500, \"c\": -3464, \"d\": 29821}", "seed": "16561544515364068895", "semantic_fingerprint": "sha256:47a64a9c7db927ae66c43706647fa8bd04e9d00b26d65e29673753e7fd697f88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001743", "prompt": "Solve for x: x = -28(x - 1628)", "solution_steps": ["Expand: x = -28x + 45584", "Add 28x to both sides: 29x = 45584", "Divide both sides by 29: x = 45584/29"], "final_answer": "45584/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -28(x - 1628)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 1628}", "seed": "9755448635718747814", "semantic_fingerprint": "sha256:0ac623f0f9cd6c9c01a162de8da18c04a72b6b3c76f0a64976f82694705c060d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001744", "prompt": "Compute: (4190 - (-9537)) * 4684", "solution_steps": ["Subtract: 4190 - (-9537) = 13727", "Multiply: 13727 * 4684 = 64297268"], "final_answer": "64297268", "answer_type": "integer", "kind": "expression", "math_text": "(4190 - (-9537)) * 4684", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4190, \"b\": -9537, \"c\": 4684}", "seed": "14746605147738343568", "semantic_fingerprint": "sha256:8f23f78ef67cf42c03ce4c26064c562019b96f102868a221f87132d385f34579", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001745", "prompt": "Solve for x: 18(x - 7901) - 4272 = -24(x + 6913) - 8275", "solution_steps": ["Expand: 18x - 142218 - 4272 = -24(x + 6913) - 8275", "Expand: 18x - 142218 - 4272 = -24x - 165912 - 8275", "Combine constants: 18x - 146490 = -24x - 165912 - 8275", "Combine constants: 18x - 146490 = -24x - 174187", "Add 24x to both sides: 42x - 146490 = -174187", "Add 146490 to both sides: 42x = -27697", "Divide both sides by 42: x = -27697/42"], "final_answer": "-27697/42", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x - 7901) - 4272 = -24(x + 6913) - 8275", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 7901, \"c\": 4272, \"d\": -24, \"e\": 6913, \"f\": 8275}", "seed": "11375240849591906249", "semantic_fingerprint": "sha256:51548238a6c51a6ff7228720d00ba8318db77b50a32f565481d9f7aa4b68ccfe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001746", "prompt": "Calculate: 34930 / (-8995) * (-2927 - 7826)", "solution_steps": ["Divide: 34930 / (-8995) = -998/257", "Subtract: -2927 - 7826 = -10753", "Multiply: (-998/257) * (-10753) = 10731494/257"], "final_answer": "10731494/257", "answer_type": "rational", "kind": "expression", "math_text": "34930 / (-8995) * (-2927 - 7826)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34930, \"b\": -8995, \"c\": -2927, \"d\": 7826}", "seed": "15618788631169758432", "semantic_fingerprint": "sha256:9365e8ea195e04dcc2282346bbba568d998a325d7860209659cfed088705b0fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001747", "prompt": "Find x: 24(x - 2468) - 4527 = -1755", "solution_steps": ["Expand: 24x - 59232 - 4527 = -1755", "Combine constants: 24x - 63759 = -1755", "Add 63759 to both sides: 24x = 62004", "Divide both sides by 24: x = 5167/2"], "final_answer": "5167/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 2468) - 4527 = -1755", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2468, \"c\": 4527, \"d\": -1755}", "seed": "14179023264351603857", "semantic_fingerprint": "sha256:c7efc157bf9c850d6ee33345edf9916a2a0fcce16175aeda0c663fdd3d7eebb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001748", "prompt": "What is 2661 - (-2152)?", "solution_steps": ["Subtract: 2661 - (-2152) = 4813"], "final_answer": "4813", "answer_type": "integer", "kind": "expression", "math_text": "2661 - (-2152)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2661, \"b\": -2152}", "seed": "11541372632352621466", "semantic_fingerprint": "sha256:46db9b90a8a23930a45a550aafd095e40d1843d9730649b7c4550254ed76c274", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001749", "prompt": "Compute: 1350 / (-78480)", "solution_steps": ["Divide: 1350 / (-78480) = -15/872"], "final_answer": "-15/872", "answer_type": "rational", "kind": "expression", "math_text": "1350 / (-78480)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1350, \"b\": -78480}", "seed": "17815097391113889285", "semantic_fingerprint": "sha256:b31cc70f957862467d534e0274c3daa5b64f1829e1b329d7da820a1ecccb6e39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001750", "prompt": "Solve the equation 28x + 81021 = 83709 for x.", "solution_steps": ["Subtract 81021 from both sides: 28x = 2688", "Divide both sides by 28: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 81021 = 83709", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 81021, \"d\": 83709, \"x\": 96}", "seed": "14917765687938670436", "semantic_fingerprint": "sha256:7ba083c7b4c0b38dd2baff45c3410b8df1f859236696d160941f6d3b716bd968", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001751", "prompt": "Solve for x: 15x + 22866 = -27(x - 1074)", "solution_steps": ["Expand: 15x + 22866 = -27x + 28998", "Add 27x to both sides: 42x + 22866 = 28998", "Subtract 22866 from both sides: 42x = 6132", "Divide both sides by 42: x = 146"], "final_answer": "146", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x + 22866 = -27(x - 1074)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -27, \"c\": 1074, \"e\": 22866, \"x\": 146}", "seed": "16037459775417390188", "semantic_fingerprint": "sha256:ebb225a6327ea92b24eaf7d67e1b0165e9f071194e384f67b4b3439d2c7bc0b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001752", "prompt": "Solve for x: x + 27793 = 31(x + 3489) - 81596", "solution_steps": ["Expand: x + 27793 = 31x + 108159 - 81596", "Combine constants: x + 27793 = 31x + 26563", "Subtract 31x from both sides: -30x + 27793 = 26563", "Subtract 27793 from both sides: -30x = -1230", "Divide both sides by -30: x = 41"], "final_answer": "41", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 27793 = 31(x + 3489) - 81596", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27793, \"b\": 31, \"c\": 3489, \"e\": -81596, \"x\": 41}", "seed": "2703171936933509224", "semantic_fingerprint": "sha256:9b4315b4983a6b800464ce9ccc4264aebfda677179b047a53a2f3324e853397a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001753", "prompt": "What is 1233 - 5400 / 52874?", "solution_steps": ["Divide: 5400 / 52874 = 2700/26437", "Subtract: 1233 - 2700/26437 = 32594121/26437"], "final_answer": "32594121/26437", "answer_type": "rational", "kind": "expression", "math_text": "1233 - 5400 / 52874", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1233, \"b\": 5400, \"c\": 52874}", "seed": "56996562928204543", "semantic_fingerprint": "sha256:89a820db4e94d3b4d460b58374b0a6b1fde2a5ccb8ae2ddba8d29a64594566ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001754", "prompt": "Compute: -62917 / 3489", "solution_steps": ["Divide: -62917 / 3489 = -62917/3489"], "final_answer": "-62917/3489", "answer_type": "rational", "kind": "expression", "math_text": "-62917 / 3489", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62917, \"b\": 3489}", "seed": "6535054589966242079", "semantic_fingerprint": "sha256:ce66aa8c7627eccb728a2684e160e9a82f67f8bfc9a8821067d3b2d7e2087419", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001755", "prompt": "What is (-4074 - (-5016)) * (-2778)?", "solution_steps": ["Subtract: -4074 - (-5016) = 942", "Multiply: 942 * (-2778) = -2616876"], "final_answer": "-2616876", "answer_type": "integer", "kind": "expression", "math_text": "(-4074 - (-5016)) * (-2778)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4074, \"b\": -5016, \"c\": -2778}", "seed": "6397867017690478167", "semantic_fingerprint": "sha256:73082e32702235647c29861f3dc168b9ea1088200837af5e96e7daa51189ae96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001756", "prompt": "Solve for x: 20x = x - 7976", "solution_steps": ["Subtract x from both sides: 19x = -7976", "Divide both sides by 19: x = -7976/19"], "final_answer": "-7976/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x = x - 7976", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 7976}", "seed": "6370916872084402579", "semantic_fingerprint": "sha256:6e8fb75345821357c99b5bbee6cc48d390d3abbb79c88c046f546b4e3144d50e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001757", "prompt": "Compute: -8961 * (-5318)", "solution_steps": ["Multiply: -8961 * (-5318) = 47654598"], "final_answer": "47654598", "answer_type": "integer", "kind": "expression", "math_text": "-8961 * (-5318)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8961, \"b\": -5318}", "seed": "4213954087285979150", "semantic_fingerprint": "sha256:581995920fa9a895df20d0376a7289eb7dd72b8c390dce9313e1f40358aa406b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001758", "prompt": "Compute: 5809 * 7353", "solution_steps": ["Multiply: 5809 * 7353 = 42713577"], "final_answer": "42713577", "answer_type": "integer", "kind": "expression", "math_text": "5809 * 7353", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5809, \"b\": 7353}", "seed": "8414160434434331467", "semantic_fingerprint": "sha256:bcb56ccf2fe01459c540e2237e6dd78ceffb49eca8f9cd319bc431948099e495", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001759", "prompt": "What value of x satisfies 26(x + 3954) = x?", "solution_steps": ["Expand: 26x + 102804 = x", "Subtract x from both sides: 25x + 102804 = 0", "Subtract 102804 from both sides: 25x = -102804", "Divide both sides by 25: x = -102804/25"], "final_answer": "-102804/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 3954) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 3954}", "seed": "11407558907343566545", "semantic_fingerprint": "sha256:42fe65e2c9f15acc420951ba840b0cd3ddeb7336294f394740dbe0a3710595cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001760", "prompt": "What is -6140 * 7209?", "solution_steps": ["Multiply: -6140 * 7209 = -44263260"], "final_answer": "-44263260", "answer_type": "integer", "kind": "expression", "math_text": "-6140 * 7209", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6140, \"b\": 7209}", "seed": "17992726709552871435", "semantic_fingerprint": "sha256:447244b71eeea7ebdba3100ac00e377cf53f0e9dd0402bff49d2ea3255ce1c53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001761", "prompt": "Solve the equation 17(x - 2691) + 44035 = x for x.", "solution_steps": ["Expand: 17x - 45747 + 44035 = x", "Combine constants: 17x - 1712 = x", "Subtract x from both sides: 16x - 1712 = 0", "Add 1712 to both sides: 16x = 1712", "Divide both sides by 16: x = 107"], "final_answer": "107", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 2691) + 44035 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2691, \"d\": 44035, \"x\": 107}", "seed": "8118191746717932075", "semantic_fingerprint": "sha256:f48af9292f4667999eb4251c82b289c014e51cb9a27f53cbae5cd3096146af38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001762", "prompt": "What value of x satisfies 28(x - 94122) = 27(x - 1195) + 11299?", "solution_steps": ["Expand: 28x - 2635416 = 27(x - 1195) + 11299", "Expand: 28x - 2635416 = 27x - 32265 + 11299", "Combine constants: 28x - 2635416 = 27x - 20966", "Subtract 27x from both sides: x - 2635416 = -20966", "Add 2635416 to both sides: x = 2614450"], "final_answer": "2614450", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x - 94122) = 27(x - 1195) + 11299", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 94122, \"c\": 27, \"d\": 1195, \"e\": 11299}", "seed": "9181624854651186182", "semantic_fingerprint": "sha256:66f93fe7a6d77b157e660bc2d0ab1c0548d0fe1710907a653366c65b0255ae5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001763", "prompt": "Calculate: 4398 / (-3048) * (-21065)", "solution_steps": ["Divide: 4398 / (-3048) = -733/508", "Multiply: (-733/508) * (-21065) = 15440645/508"], "final_answer": "15440645/508", "answer_type": "rational", "kind": "expression", "math_text": "4398 / (-3048) * (-21065)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4398, \"b\": -3048, \"c\": -21065}", "seed": "11148047634488589621", "semantic_fingerprint": "sha256:60ad843350edd6c39667f20b52cea35ef2bfc3eb9a66f652a1bee150e8ef35af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001764", "prompt": "Compute: 4776 - (-27425 - (-61702))", "solution_steps": ["Subtract: -27425 - (-61702) = 34277", "Subtract: 4776 - 34277 = -29501"], "final_answer": "-29501", "answer_type": "integer", "kind": "expression", "math_text": "4776 - (-27425 - (-61702))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4776, \"b\": -27425, \"c\": -61702}", "seed": "1771639690607088102", "semantic_fingerprint": "sha256:efca1e31182726db4217d59569b1c5f1b3e74815655d28e5a429fbc1846eb2fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001765", "prompt": "Compute: 3927 * 7352", "solution_steps": ["Multiply: 3927 * 7352 = 28871304"], "final_answer": "28871304", "answer_type": "integer", "kind": "expression", "math_text": "3927 * 7352", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3927, \"b\": 7352}", "seed": "7506668973036949219", "semantic_fingerprint": "sha256:32f482c7fa54a4953cc8e049ef625e4eb1d007ff10ec48f0e7d26b07f2d47ab9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001766", "prompt": "Find x: 29x = -29(x + 69315)", "solution_steps": ["Expand: 29x = -29x - 2010135", "Add 29x to both sides: 58x = -2010135", "Divide both sides by 58: x = -69315/2"], "final_answer": "-69315/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = -29(x + 69315)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": -29, \"c\": 69315}", "seed": "10081901721463438207", "semantic_fingerprint": "sha256:ff98732a662163fa7aadccafbb45838026f45a74ff537bce6a9a223b8be1869b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001767", "prompt": "Solve for x: 30x + 1688 = 22(x - 4434) - 94192", "solution_steps": ["Expand: 30x + 1688 = 22x - 97548 - 94192", "Combine constants: 30x + 1688 = 22x - 191740", "Subtract 22x from both sides: 8x + 1688 = -191740", "Subtract 1688 from both sides: 8x = -193428", "Divide both sides by 8: x = -48357/2"], "final_answer": "-48357/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x + 1688 = 22(x - 4434) - 94192", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1688, \"c\": 22, \"d\": 4434, \"e\": 94192}", "seed": "17633285842018705884", "semantic_fingerprint": "sha256:05bed0a7cbcaa89b9063f21e58ff53f13f3de469f794de2cef524fb5cd4d42f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001768", "prompt": "Find x: x = -27(x - 96610) - 26253", "solution_steps": ["Expand: x = -27x + 2608470 - 26253", "Combine constants: x = -27x + 2582217", "Add 27x to both sides: 28x = 2582217", "Divide both sides by 28: x = 2582217/28"], "final_answer": "2582217/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -27(x - 96610) - 26253", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 96610, \"c\": 26253}", "seed": "4447900166469763147", "semantic_fingerprint": "sha256:3ba4cb6f84552321ee8ab692464405c4c4d7c1bd5caca4ea28a87713b8094ae8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001769", "prompt": "Calculate: 51011 + 70970 + (-79789) / 98085", "solution_steps": ["Add: 51011 + 70970 = 121981", "Divide: -79789 / 98085 = -79789/98085", "Add: 121981 + (-79789/98085) = 11964426596/98085"], "final_answer": "11964426596/98085", "answer_type": "rational", "kind": "expression", "math_text": "51011 + 70970 + (-79789) / 98085", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 51011, \"b\": 70970, \"c\": -79789, \"d\": 98085}", "seed": "12077059245214161492", "semantic_fingerprint": "sha256:9913826831b720b8ebf9dea0bef6eb20ddf03a9887cea63e3de63a19a80fd4a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001770", "prompt": "What is 92295 * 5603 - (-5108 - (-23628) - (-22404) * 4682)?", "solution_steps": ["Multiply: 92295 * 5603 = 517128885", "Subtract: -5108 - (-23628) = 18520", "Multiply: -22404 * 4682 = -104895528", "Subtract: 18520 - (-104895528) = 104914048", "Subtract: 517128885 - 104914048 = 412214837"], "final_answer": "412214837", "answer_type": "integer", "kind": "expression", "math_text": "92295 * 5603 - (-5108 - (-23628) - (-22404) * 4682)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (- n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 92295, \"b\": 5603, \"c\": -5108, \"d\": -23628, \"e\": -22404, \"f\": 4682}", "seed": "1248581389220994676", "semantic_fingerprint": "sha256:0f161fee7006b009fcc9db592a297f413152abfbe893c8c895d8cc4d5a7e3f98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001771", "prompt": "Solve for x: 20(x + 3195) + 28611 = 34x", "solution_steps": ["Expand: 20x + 63900 + 28611 = 34x", "Combine constants: 20x + 92511 = 34x", "Subtract 34x from both sides: -14x + 92511 = 0", "Subtract 92511 from both sides: -14x = -92511", "Divide both sides by -14: x = 92511/14"], "final_answer": "92511/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 3195) + 28611 = 34x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3195, \"c\": 28611, \"d\": 34}", "seed": "8307228147122593626", "semantic_fingerprint": "sha256:e47ef711ac27ebd7a78ef9e75fdd10e1d1ebfd08973de1ca136e3f2c385c86c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001772", "prompt": "Evaluate: (-8378 + 25208) / 35818 * (-83503)", "solution_steps": ["Add: -8378 + 25208 = 16830", "Divide: 16830 / 35818 = 8415/17909", "Multiply: (8415/17909) * (-83503) = -702677745/17909"], "final_answer": "-702677745/17909", "answer_type": "rational", "kind": "expression", "math_text": "(-8378 + 25208) / 35818 * (-83503)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8378, \"b\": 25208, \"c\": 35818, \"d\": -83503}", "seed": "6259304554836828854", "semantic_fingerprint": "sha256:2b48cf1a6b6a6e5d0bdaf0ee140547c7b8a952094bbb1c427e328d66aed49bf6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001773", "prompt": "Calculate: -85464 * (-51839 / 30110)", "solution_steps": ["Divide: -51839 / 30110 = -51839/30110", "Multiply: -85464 * (-51839/30110) = 2215184148/15055"], "final_answer": "2215184148/15055", "answer_type": "rational", "kind": "expression", "math_text": "-85464 * (-51839 / 30110)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -85464, \"b\": -51839, \"c\": 30110}", "seed": "8650767316714088216", "semantic_fingerprint": "sha256:bc83159c66ece940604b91d0652953cfa7285c48a9e28aaf48417f234a3e0b7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001774", "prompt": "Compute: 22937 + 84859 - 4961", "solution_steps": ["Add: 22937 + 84859 = 107796", "Subtract: 107796 - 4961 = 102835"], "final_answer": "102835", "answer_type": "integer", "kind": "expression", "math_text": "22937 + 84859 - 4961", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22937, \"b\": 84859, \"c\": 4961}", "seed": "12482201538721714656", "semantic_fingerprint": "sha256:2b7ffe8b990272d95ca5c7e5fe031b2c55ec2857508af5a0b9eabb5c6420d4a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001775", "prompt": "Solve the equation 24(x - 7469) + 7089 = -15(x - 97855) + 4279 for x.", "solution_steps": ["Expand: 24x - 179256 + 7089 = -15(x - 97855) + 4279", "Expand: 24x - 179256 + 7089 = -15x + 1467825 + 4279", "Combine constants: 24x - 172167 = -15x + 1467825 + 4279", "Combine constants: 24x - 172167 = -15x + 1472104", "Add 15x to both sides: 39x - 172167 = 1472104", "Add 172167 to both sides: 39x = 1644271", "Divide both sides by 39: x = 1644271/39"], "final_answer": "1644271/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 7469) + 7089 = -15(x - 97855) + 4279", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 7469, \"c\": 7089, \"d\": -15, \"e\": 97855, \"f\": 4279}", "seed": "9763542123095846802", "semantic_fingerprint": "sha256:66b55b2747194b23e9053ad7e9f610a6397e08778bfebb5de2cc6eaf03a8b709", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001776", "prompt": "Evaluate: -5936 * (19561 - (-54040 + (-7977)))", "solution_steps": ["Add: -54040 + (-7977) = -62017", "Subtract: 19561 - (-62017) = 81578", "Multiply: -5936 * 81578 = -484247008"], "final_answer": "-484247008", "answer_type": "integer", "kind": "expression", "math_text": "-5936 * (19561 - (-54040 + (-7977)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5936, \"b\": 19561, \"c\": -54040, \"d\": -7977}", "seed": "13406114280158854474", "semantic_fingerprint": "sha256:0e74b115003a06e8bfce12398cefb70ebebd05ac0ef7027a6457794d53806fb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001777", "prompt": "Compute: -26297 + (-86320) + 4113", "solution_steps": ["Add: -26297 + (-86320) = -112617", "Add: -112617 + 4113 = -108504"], "final_answer": "-108504", "answer_type": "integer", "kind": "expression", "math_text": "-26297 + (-86320) + 4113", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26297, \"b\": -86320, \"c\": 4113}", "seed": "1891799895177548182", "semantic_fingerprint": "sha256:4eb51b2e92c41d1b8427bc760649143a432a3446fb26e5af69b6e03064c80ebc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001778", "prompt": "Calculate: -76064 + 3470 * (59602 * (9388 - 7706))", "solution_steps": ["Subtract: 9388 - 7706 = 1682", "Multiply: 59602 * 1682 = 100250564", "Multiply: 3470 * 100250564 = 347869457080", "Add: -76064 + 347869457080 = 347869381016"], "final_answer": "347869381016", "answer_type": "integer", "kind": "expression", "math_text": "-76064 + 3470 * (59602 * (9388 - 7706))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (* n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76064, \"b\": 3470, \"c\": 59602, \"d\": 9388, \"e\": 7706}", "seed": "680850623104660345", "semantic_fingerprint": "sha256:26181e8a00637e9f9d097bd48d28f9897a6e9632fb3defe88bffff3d747890d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001779", "prompt": "Compute: 4297 * (-9506)", "solution_steps": ["Multiply: 4297 * (-9506) = -40847282"], "final_answer": "-40847282", "answer_type": "integer", "kind": "expression", "math_text": "4297 * (-9506)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4297, \"b\": -9506}", "seed": "10152933466874562273", "semantic_fingerprint": "sha256:54e0ec8f28c875b3ac6d69ac5abb0b2896c314eb51f64ae4f9d8d96b5f0057e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001780", "prompt": "Compute: 84397 / (-2813)", "solution_steps": ["Divide: 84397 / (-2813) = -84397/2813"], "final_answer": "-84397/2813", "answer_type": "rational", "kind": "expression", "math_text": "84397 / (-2813)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84397, \"b\": -2813}", "seed": "1179768390177947271", "semantic_fingerprint": "sha256:39b62059c5c4ed77018a5edebdf4a5f986301cd41c31caef9cdd3aedbe6fce7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001781", "prompt": "Calculate: -7983 + 76541", "solution_steps": ["Add: -7983 + 76541 = 68558"], "final_answer": "68558", "answer_type": "integer", "kind": "expression", "math_text": "-7983 + 76541", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7983, \"b\": 76541}", "seed": "4268023694628675744", "semantic_fingerprint": "sha256:3e4c76c614e7a7bd27c18be4da00409a53e7a61bf55a6ee1721d3ce423927b33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001782", "prompt": "Calculate: 77056 * (-9037) / (-5664 + (-2030)) / (81102 - 81774)", "solution_steps": ["Multiply: 77056 * (-9037) = -696355072", "Add: -5664 + (-2030) = -7694", "Divide: -696355072 / (-7694) = 348177536/3847", "Subtract: 81102 - 81774 = -672", "Divide: (348177536/3847) / (-672) = -1554364/11541"], "final_answer": "-1554364/11541", "answer_type": "rational", "kind": "expression", "math_text": "77056 * (-9037) / (-5664 + (-2030)) / (81102 - 81774)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 77056, \"b\": -9037, \"c\": -5664, \"d\": -2030, \"e\": 81102, \"f\": 81774}", "seed": "8827371947565519279", "semantic_fingerprint": "sha256:d79dea1ef4677164c883fceff0d8f385f5a3faba564c02c800374a2075e8d62f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001783", "prompt": "Find x: x = 16(x + 5547) - 89172", "solution_steps": ["Expand: x = 16x + 88752 - 89172", "Combine constants: x = 16x - 420", "Subtract 16x from both sides: -15x = -420", "Divide both sides by -15: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 16(x + 5547) - 89172", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5547, \"d\": -89172, \"x\": 28}", "seed": "12562828601183645864", "semantic_fingerprint": "sha256:4fc0097d15f35f1b93018b9a75baf59887af10580abfe20c63445f4461954443", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001784", "prompt": "What value of x satisfies 15(x + 4275) = 39(x - 8187)?", "solution_steps": ["Expand: 15x + 64125 = 39(x - 8187)", "Expand: 15x + 64125 = 39x - 319293", "Subtract 39x from both sides: -24x + 64125 = -319293", "Subtract 64125 from both sides: -24x = -383418", "Divide both sides by -24: x = 63903/4"], "final_answer": "63903/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 4275) = 39(x - 8187)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4275, \"c\": 39, \"d\": 8187}", "seed": "14395980479514393429", "semantic_fingerprint": "sha256:71fa1a26c9d598498a45bb8da7e4ecb832b2cb649c5216cb953676579501b16c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001785", "prompt": "Calculate: 53182 / (-6240)", "solution_steps": ["Divide: 53182 / (-6240) = -26591/3120"], "final_answer": "-26591/3120", "answer_type": "rational", "kind": "expression", "math_text": "53182 / (-6240)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53182, \"b\": -6240}", "seed": "15511619265142346036", "semantic_fingerprint": "sha256:e33e2e8d56c3ae592bbf2eaab50ca9d02ed17e2fb9d1d0786aed461954bfea7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001786", "prompt": "Calculate: (38219 - (-9406)) / (-70845)", "solution_steps": ["Subtract: 38219 - (-9406) = 47625", "Divide: 47625 / (-70845) = -3175/4723"], "final_answer": "-3175/4723", "answer_type": "rational", "kind": "expression", "math_text": "(38219 - (-9406)) / (-70845)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38219, \"b\": -9406, \"c\": -70845}", "seed": "4188003772929842780", "semantic_fingerprint": "sha256:fea850973e2a70feef6c62dc3139ceb05f3870df7610a14b627e0b03674d46ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001787", "prompt": "What is 43140 + (51901 - 69637) + 20358 / (-37659)?", "solution_steps": ["Subtract: 51901 - 69637 = -17736", "Add: 43140 + (-17736) = 25404", "Divide: 20358 / (-37659) = -6786/12553", "Add: 25404 + (-6786/12553) = 318889626/12553"], "final_answer": "318889626/12553", "answer_type": "rational", "kind": "expression", "math_text": "43140 + (51901 - 69637) + 20358 / (-37659)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 43140, \"b\": 51901, \"c\": 69637, \"d\": 20358, \"e\": -37659}", "seed": "2524645445080211729", "semantic_fingerprint": "sha256:974e482fa1c560f8297a3674f68c99929072f31038c2c949ed78ad6229ee37d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001788", "prompt": "Solve the equation x - 4193 = -4086 for x.", "solution_steps": ["Add 4193 to both sides: x = 107"], "final_answer": "107", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4193 = -4086", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4193, \"c\": -4086, \"x\": 107}", "seed": "8418055786934219880", "semantic_fingerprint": "sha256:6a233a413af967c32fb01bd207e3c7486d367238eb84e5c3f3426bbd7daa30b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001789", "prompt": "Solve the equation 32x = 20x for x.", "solution_steps": ["Subtract 20x from both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = 20x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 20}", "seed": "7186736069380388179", "semantic_fingerprint": "sha256:3e38a75f7ab47bb9b448b8ee768e7b2bf5ee16ca300d3a5fdbe50f44627cc320", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001790", "prompt": "Compute: 2792 * (-55006 - 12177) + (-1433 + (-37832))", "solution_steps": ["Subtract: -55006 - 12177 = -67183", "Multiply: 2792 * (-67183) = -187574936", "Add: -1433 + (-37832) = -39265", "Add: -187574936 + (-39265) = -187614201"], "final_answer": "-187614201", "answer_type": "integer", "kind": "expression", "math_text": "2792 * (-55006 - 12177) + (-1433 + (-37832))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2792, \"b\": -55006, \"c\": 12177, \"d\": -1433, \"e\": -37832}", "seed": "16434649152592320492", "semantic_fingerprint": "sha256:59db486814f28a6edfa4a5c362e2cdc1635b0120c200a4251ee6d90069e1e185", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001791", "prompt": "What is 6950 - 8210 / (-28507) * 69202 - 5857?", "solution_steps": ["Divide: 8210 / (-28507) = -8210/28507", "Multiply: (-8210/28507) * 69202 = -568148420/28507", "Subtract: 6950 - (-568148420/28507) = 766272070/28507", "Subtract: 766272070/28507 - 5857 = 599306571/28507"], "final_answer": "599306571/28507", "answer_type": "rational", "kind": "expression", "math_text": "6950 - 8210 / (-28507) * 69202 - 5857", "variable": null, "family": "expression_4op", "shape": "(- (- n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6950, \"b\": 8210, \"c\": -28507, \"d\": 69202, \"e\": 5857}", "seed": "14607119154751893813", "semantic_fingerprint": "sha256:947349acaf1fccc5fe80a075e436f06b66ba4232d5e8aeebef9718b63b87322d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001792", "prompt": "Compute: 36873 - 1718 - (-5438 + 13302)", "solution_steps": ["Subtract: 36873 - 1718 = 35155", "Add: -5438 + 13302 = 7864", "Subtract: 35155 - 7864 = 27291"], "final_answer": "27291", "answer_type": "integer", "kind": "expression", "math_text": "36873 - 1718 - (-5438 + 13302)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36873, \"b\": 1718, \"c\": -5438, \"d\": 13302}", "seed": "4575952675849507340", "semantic_fingerprint": "sha256:fbd9ed630f19e3ba009db5a0f03887f4af633ea6f3c59cba54009c26f8a3c562", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001793", "prompt": "Calculate: 9299 - 67707", "solution_steps": ["Subtract: 9299 - 67707 = -58408"], "final_answer": "-58408", "answer_type": "integer", "kind": "expression", "math_text": "9299 - 67707", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9299, \"b\": 67707}", "seed": "11347539468534337152", "semantic_fingerprint": "sha256:e5e3836ca48f7fbc1870e95d18567e4f56cda202b4195e3c65dc158927fc5c03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001794", "prompt": "What is -1438 / (-60291 / (-1123 + 8176))?", "solution_steps": ["Add: -1123 + 8176 = 7053", "Divide: -60291 / 7053 = -20097/2351", "Divide: -1438 / (-20097/2351) = 3380738/20097"], "final_answer": "3380738/20097", "answer_type": "rational", "kind": "expression", "math_text": "-1438 / (-60291 / (-1123 + 8176))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1438, \"b\": -60291, \"c\": -1123, \"d\": 8176}", "seed": "14560369782739855703", "semantic_fingerprint": "sha256:75ebdea1889ef195190c17e5bb8b75aa3a857b2ba4b6c72e9735dbd7b24b9f68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001795", "prompt": "Evaluate: 4246 * 1181 - (-82020 * 2328 - 23486)", "solution_steps": ["Multiply: 4246 * 1181 = 5014526", "Multiply: -82020 * 2328 = -190942560", "Subtract: -190942560 - 23486 = -190966046", "Subtract: 5014526 - (-190966046) = 195980572"], "final_answer": "195980572", "answer_type": "integer", "kind": "expression", "math_text": "4246 * 1181 - (-82020 * 2328 - 23486)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4246, \"b\": 1181, \"c\": -82020, \"d\": 2328, \"e\": 23486}", "seed": "3734690977649137119", "semantic_fingerprint": "sha256:a509db324975bc21ea2de52392820475b1cbb9f4df4f8746a2c0284769da1c6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001796", "prompt": "Solve for x: x - 8672 = -21x + 4923", "solution_steps": ["Add 21x to both sides: 22x - 8672 = 4923", "Add 8672 to both sides: 22x = 13595", "Divide both sides by 22: x = 13595/22"], "final_answer": "13595/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8672 = -21x + 4923", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8672, \"b\": -21, \"c\": 4923}", "seed": "18240421254609043625", "semantic_fingerprint": "sha256:e94a3926f3098b1edbb376d81bf0793110bbc3ec9fce8b8889e1bf840fc88047", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001797", "prompt": "Find x: 18x = -17(x + 7767)", "solution_steps": ["Expand: 18x = -17x - 132039", "Add 17x to both sides: 35x = -132039", "Divide both sides by 35: x = -132039/35"], "final_answer": "-132039/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = -17(x + 7767)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": -17, \"c\": 7767}", "seed": "4476826832022138073", "semantic_fingerprint": "sha256:d13ed85ef4ae2033a0134474ddef4007bb260f91adc31239f3abdf54bb89b236", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001798", "prompt": "Find x: x + 6720 = 37x + 3516", "solution_steps": ["Subtract 37x from both sides: -36x + 6720 = 3516", "Subtract 6720 from both sides: -36x = -3204", "Divide both sides by -36: x = 89"], "final_answer": "89", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6720 = 37x + 3516", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6720, \"b\": 37, \"d\": 3516, \"x\": 89}", "seed": "15667393191511803591", "semantic_fingerprint": "sha256:6769c6969078adb909670dd139eb551a38f3ce1f3398fa78d660418dab08d75a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001799", "prompt": "What is -8033 / (-9036 + (-90111))?", "solution_steps": ["Add: -9036 + (-90111) = -99147", "Divide: -8033 / (-99147) = 8033/99147"], "final_answer": "8033/99147", "answer_type": "rational", "kind": "expression", "math_text": "-8033 / (-9036 + (-90111))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8033, \"b\": -9036, \"c\": -90111}", "seed": "16687890529055558517", "semantic_fingerprint": "sha256:097ba7e885355fc111186d0a74816804a76a6fde2db01f66a346b37f252b909a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001800", "prompt": "Compute: -6789 - (49711 + (-4276 + (-56769)))", "solution_steps": ["Add: -4276 + (-56769) = -61045", "Add: 49711 + (-61045) = -11334", "Subtract: -6789 - (-11334) = 4545"], "final_answer": "4545", "answer_type": "integer", "kind": "expression", "math_text": "-6789 - (49711 + (-4276 + (-56769)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6789, \"b\": 49711, \"c\": -4276, \"d\": -56769}", "seed": "18261198867914223013", "semantic_fingerprint": "sha256:46ccaeb5fddce36ff9efdd1bb1873128b01b42145210944d0c0f0e09f41919a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001801", "prompt": "Evaluate: -2994 - (8513 + (-7367)) - (-83605) * 33752", "solution_steps": ["Add: 8513 + (-7367) = 1146", "Subtract: -2994 - 1146 = -4140", "Multiply: -83605 * 33752 = -2821835960", "Subtract: -4140 - (-2821835960) = 2821831820"], "final_answer": "2821831820", "answer_type": "integer", "kind": "expression", "math_text": "-2994 - (8513 + (-7367)) - (-83605) * 33752", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2994, \"b\": 8513, \"c\": -7367, \"d\": -83605, \"e\": 33752}", "seed": "4465493909868670383", "semantic_fingerprint": "sha256:f46737242d02cd02a071ee40c08c0adeb72ee9ad9a3297bd8716ac367e66de5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001802", "prompt": "What is 5030 + (44797 - 5197)?", "solution_steps": ["Subtract: 44797 - 5197 = 39600", "Add: 5030 + 39600 = 44630"], "final_answer": "44630", "answer_type": "integer", "kind": "expression", "math_text": "5030 + (44797 - 5197)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5030, \"b\": 44797, \"c\": 5197}", "seed": "5838391316413769515", "semantic_fingerprint": "sha256:7b4d78d6d8a45058b40829e2270f028ba0e9b6344f62fe05fbb4afe214ec746a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001803", "prompt": "What is -3909 / (61859 - (-1569))?", "solution_steps": ["Subtract: 61859 - (-1569) = 63428", "Divide: -3909 / 63428 = -3909/63428"], "final_answer": "-3909/63428", "answer_type": "rational", "kind": "expression", "math_text": "-3909 / (61859 - (-1569))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3909, \"b\": 61859, \"c\": -1569}", "seed": "9978638650769922571", "semantic_fingerprint": "sha256:4758ef4a4c9683cb10702f72022c89a80ba654d1e68103726918ad0dd38401a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001804", "prompt": "What value of x satisfies 17(x + 2049) + 3554 = -35x + 27916?", "solution_steps": ["Expand: 17x + 34833 + 3554 = -35x + 27916", "Combine constants: 17x + 38387 = -35x + 27916", "Add 35x to both sides: 52x + 38387 = 27916", "Subtract 38387 from both sides: 52x = -10471", "Divide both sides by 52: x = -10471/52"], "final_answer": "-10471/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 2049) + 3554 = -35x + 27916", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2049, \"c\": 3554, \"d\": -35, \"e\": 27916}", "seed": "17880150688666100280", "semantic_fingerprint": "sha256:3be34811cd4373c1ccd9d3159e2a26608f04a80978c47908a0ffa188dbfb3ebf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001805", "prompt": "Evaluate: (-1685 + (-37236 + (-5998))) * (-4621 * (-4006))", "solution_steps": ["Add: -37236 + (-5998) = -43234", "Add: -1685 + (-43234) = -44919", "Multiply: -4621 * (-4006) = 18511726", "Multiply: -44919 * 18511726 = -831528220194"], "final_answer": "-831528220194", "answer_type": "integer", "kind": "expression", "math_text": "(-1685 + (-37236 + (-5998))) * (-4621 * (-4006))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1685, \"b\": -37236, \"c\": -5998, \"d\": -4621, \"e\": -4006}", "seed": "9961957356665586573", "semantic_fingerprint": "sha256:ab9be311f06b13fed1621568ab0b069c8c24c12f29f6f008c3d2718a7ed4ff73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001806", "prompt": "Compute: -33503 - (-67623) / 1434", "solution_steps": ["Divide: -67623 / 1434 = -22541/478", "Subtract: -33503 - (-22541/478) = -15991893/478"], "final_answer": "-15991893/478", "answer_type": "rational", "kind": "expression", "math_text": "-33503 - (-67623) / 1434", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33503, \"b\": -67623, \"c\": 1434}", "seed": "9970639662633522549", "semantic_fingerprint": "sha256:ef27ca2307356d66e650662bf6e91fc3893d324898e3e5e4770d85eb786c32c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001807", "prompt": "Solve for x: 40(x - 9933) + 23048 = 21(x - 9404) + 5091", "solution_steps": ["Expand: 40x - 397320 + 23048 = 21(x - 9404) + 5091", "Expand: 40x - 397320 + 23048 = 21x - 197484 + 5091", "Combine constants: 40x - 374272 = 21x - 197484 + 5091", "Combine constants: 40x - 374272 = 21x - 192393", "Subtract 21x from both sides: 19x - 374272 = -192393", "Add 374272 to both sides: 19x = 181879", "Divide both sides by 19: x = 181879/19"], "final_answer": "181879/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 9933) + 23048 = 21(x - 9404) + 5091", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 9933, \"c\": 23048, \"d\": 21, \"e\": 9404, \"f\": 5091}", "seed": "15929222826952180923", "semantic_fingerprint": "sha256:e2d51ea22067e677a806f57976736b054517edbad0ecf2520f463e1c8939f8a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001808", "prompt": "Evaluate: -38355 - (-4380)", "solution_steps": ["Subtract: -38355 - (-4380) = -33975"], "final_answer": "-33975", "answer_type": "integer", "kind": "expression", "math_text": "-38355 - (-4380)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -38355, \"b\": -4380}", "seed": "18520951621872626", "semantic_fingerprint": "sha256:5826a5f12798d2a3502df7f6fec3a4b2c516650ebee18449abeed24ae8602dae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001809", "prompt": "Solve for x: -21x = -1323", "solution_steps": ["Divide both sides by -21: x = 63"], "final_answer": "63", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = -1323", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": -1323, \"x\": 63}", "seed": "11960082790273346346", "semantic_fingerprint": "sha256:47e8902b43be37d4a57d99612b82343c2a63d0cb1d3e086b7b8cdce86033ec0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001810", "prompt": "What is 7869 * (-9308 - (-49160))?", "solution_steps": ["Subtract: -9308 - (-49160) = 39852", "Multiply: 7869 * 39852 = 313595388"], "final_answer": "313595388", "answer_type": "integer", "kind": "expression", "math_text": "7869 * (-9308 - (-49160))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7869, \"b\": -9308, \"c\": -49160}", "seed": "11534080269538707621", "semantic_fingerprint": "sha256:a8f65e9dc23b25ca30c04d9b133eb53dad7c241e0d2066d7df569b8687d0659e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001811", "prompt": "What is 14335 - 6453 * 8783 + (5983 + (-47168))?", "solution_steps": ["Multiply: 6453 * 8783 = 56676699", "Subtract: 14335 - 56676699 = -56662364", "Add: 5983 + (-47168) = -41185", "Add: -56662364 + (-41185) = -56703549"], "final_answer": "-56703549", "answer_type": "integer", "kind": "expression", "math_text": "14335 - 6453 * 8783 + (5983 + (-47168))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14335, \"b\": 6453, \"c\": 8783, \"d\": 5983, \"e\": -47168}", "seed": "12182042073457496303", "semantic_fingerprint": "sha256:d82c0d586df2992d09025386313bf2bbcbfa58db9f63cacd43c28391dd40d5ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001812", "prompt": "Evaluate: -3977 - (-47319 - 8557 * 91691) - (-2409)", "solution_steps": ["Multiply: 8557 * 91691 = 784599887", "Subtract: -47319 - 784599887 = -784647206", "Subtract: -3977 - (-784647206) = 784643229", "Subtract: 784643229 - (-2409) = 784645638"], "final_answer": "784645638", "answer_type": "integer", "kind": "expression", "math_text": "-3977 - (-47319 - 8557 * 91691) - (-2409)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3977, \"b\": -47319, \"c\": 8557, \"d\": 91691, \"e\": -2409}", "seed": "1177741430317467160", "semantic_fingerprint": "sha256:8c654c6c863c723b148819ce0a5440dd9b135807161b62262b4c5a993440561c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001813", "prompt": "What is 4095 - (-75072 + (-60227) - (-3651))?", "solution_steps": ["Add: -75072 + (-60227) = -135299", "Subtract: -135299 - (-3651) = -131648", "Subtract: 4095 - (-131648) = 135743"], "final_answer": "135743", "answer_type": "integer", "kind": "expression", "math_text": "4095 - (-75072 + (-60227) - (-3651))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4095, \"b\": -75072, \"c\": -60227, \"d\": -3651}", "seed": "8566189169822708957", "semantic_fingerprint": "sha256:cb2d982738be0c5fb9344c2498fe9047c7b00db57d3c38e89789aea150b43485", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001814", "prompt": "Compute: -77593 - (-73384) + (6722 + 73788)", "solution_steps": ["Subtract: -77593 - (-73384) = -4209", "Add: 6722 + 73788 = 80510", "Add: -4209 + 80510 = 76301"], "final_answer": "76301", "answer_type": "integer", "kind": "expression", "math_text": "-77593 - (-73384) + (6722 + 73788)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77593, \"b\": -73384, \"c\": 6722, \"d\": 73788}", "seed": "13189029754879139926", "semantic_fingerprint": "sha256:e348f34e757a417a7c7438e4914a3c782868f601c3a1a5a6e6d83417c7bf2253", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001815", "prompt": "What is -5087 * 7057?", "solution_steps": ["Multiply: -5087 * 7057 = -35898959"], "final_answer": "-35898959", "answer_type": "integer", "kind": "expression", "math_text": "-5087 * 7057", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5087, \"b\": 7057}", "seed": "6798500025104652485", "semantic_fingerprint": "sha256:92e43282bf02d4e13b31a04cfafbfb3d387d7fa26df26e28a7ffac608786a199", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001816", "prompt": "Solve the equation x = -28x + 2349 for x.", "solution_steps": ["Add 28x to both sides: 29x = 2349", "Divide both sides by 29: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -28x + 2349", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"c\": 2349, \"x\": 81}", "seed": "17260411243810024821", "semantic_fingerprint": "sha256:7e2891a3e1c9dd69e6878d15cda4644f17c80a1161f524990fceb1cb154c4fd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001817", "prompt": "What is 2685 + 93169 + (-9765 + (-83445))?", "solution_steps": ["Add: 2685 + 93169 = 95854", "Add: -9765 + (-83445) = -93210", "Add: 95854 + (-93210) = 2644"], "final_answer": "2644", "answer_type": "integer", "kind": "expression", "math_text": "2685 + 93169 + (-9765 + (-83445))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2685, \"b\": 93169, \"c\": -9765, \"d\": -83445}", "seed": "11441500126550091410", "semantic_fingerprint": "sha256:01a85e8da6166bd22da1234543a93f9e96c95c5bb63062020d2987adbc72a2db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001818", "prompt": "Evaluate: -51998 - 5942", "solution_steps": ["Subtract: -51998 - 5942 = -57940"], "final_answer": "-57940", "answer_type": "integer", "kind": "expression", "math_text": "-51998 - 5942", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -51998, \"b\": 5942}", "seed": "8463345027431503770", "semantic_fingerprint": "sha256:36d5460d548b09f157f0830b95447df73b68c556a90fdae8ff7b3c953096f6ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001819", "prompt": "Evaluate: 6042 + 1943", "solution_steps": ["Add: 6042 + 1943 = 7985"], "final_answer": "7985", "answer_type": "integer", "kind": "expression", "math_text": "6042 + 1943", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6042, \"b\": 1943}", "seed": "457413296194123720", "semantic_fingerprint": "sha256:2303430be49fb2f45a1adf4f1ed7f1fb481e05a698fc723915e831650029822c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001820", "prompt": "Calculate: 50099 - 99022", "solution_steps": ["Subtract: 50099 - 99022 = -48923"], "final_answer": "-48923", "answer_type": "integer", "kind": "expression", "math_text": "50099 - 99022", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 50099, \"b\": 99022}", "seed": "16136391312546660014", "semantic_fingerprint": "sha256:0d16b4961349b8313bb242825919332547f6e09c188d81fb18ca3d6421adbaa0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001821", "prompt": "What is -7907 + (5617 + 94541 + (-4911))?", "solution_steps": ["Add: 5617 + 94541 = 100158", "Add: 100158 + (-4911) = 95247", "Add: -7907 + 95247 = 87340"], "final_answer": "87340", "answer_type": "integer", "kind": "expression", "math_text": "-7907 + (5617 + 94541 + (-4911))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7907, \"b\": 5617, \"c\": 94541, \"d\": -4911}", "seed": "11109475199317928081", "semantic_fingerprint": "sha256:b09601af9feb1aeef36b1a9947e1d4a4f3a5811e48ce93b9a4d7c917e02489f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001822", "prompt": "Calculate: 5088 / 68849 * (-8946)", "solution_steps": ["Divide: 5088 / 68849 = 5088/68849", "Multiply: (5088/68849) * (-8946) = -45517248/68849"], "final_answer": "-45517248/68849", "answer_type": "rational", "kind": "expression", "math_text": "5088 / 68849 * (-8946)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5088, \"b\": 68849, \"c\": -8946}", "seed": "3295676613577047897", "semantic_fingerprint": "sha256:1b7072a8c2ae0673dc01b18b5c0c24abe067a06be5f5438b1cfef97076b6b528", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001823", "prompt": "Solve the equation x - 82071 = 36(x - 6962) - 7470 for x.", "solution_steps": ["Expand: x - 82071 = 36x - 250632 - 7470", "Combine constants: x - 82071 = 36x - 258102", "Subtract 36x from both sides: -35x - 82071 = -258102", "Add 82071 to both sides: -35x = -176031", "Divide both sides by -35: x = 176031/35"], "final_answer": "176031/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 82071 = 36(x - 6962) - 7470", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 82071, \"b\": 36, \"c\": 6962, \"d\": 7470}", "seed": "10823370778709876054", "semantic_fingerprint": "sha256:6f63cbeeab81f31dc3f8a425f06864c4d4fcb3f7deadccc65b7f4248386a23dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001824", "prompt": "Solve for x: 30x - 9614 = x - 2422", "solution_steps": ["Subtract x from both sides: 29x - 9614 = -2422", "Add 9614 to both sides: 29x = 7192", "Divide both sides by 29: x = 248"], "final_answer": "248", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x - 9614 = x - 2422", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 9614, \"c\": 2422}", "seed": "5520930606881231911", "semantic_fingerprint": "sha256:7793014f50f968d7a518bd8383218876e5e046432635e0a16507c0313fefb100", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001825", "prompt": "Calculate: (4596 + 4968 + 54396) * (56001 - (3087 + (-62216)))", "solution_steps": ["Add: 4596 + 4968 = 9564", "Add: 9564 + 54396 = 63960", "Add: 3087 + (-62216) = -59129", "Subtract: 56001 - (-59129) = 115130", "Multiply: 63960 * 115130 = 7363714800"], "final_answer": "7363714800", "answer_type": "integer", "kind": "expression", "math_text": "(4596 + 4968 + 54396) * (56001 - (3087 + (-62216)))", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4596, \"b\": 4968, \"c\": 54396, \"d\": 56001, \"e\": 3087, \"f\": -62216}", "seed": "6307499063716965199", "semantic_fingerprint": "sha256:a82f2b3fd2388d73714eeb3e31b887836a2b0e8ebe62a3799433080ebd51e84c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001826", "prompt": "Calculate: 53601 / 9545", "solution_steps": ["Divide: 53601 / 9545 = 53601/9545"], "final_answer": "53601/9545", "answer_type": "rational", "kind": "expression", "math_text": "53601 / 9545", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53601, \"b\": 9545}", "seed": "18206130036751758705", "semantic_fingerprint": "sha256:3d7828af1d8cb206410b28ae7e9ca3f82300f26a377c13ce694ae6fa0d8d9c63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001827", "prompt": "Calculate: (60258 + (-43555)) * (-6516 * (-5744))", "solution_steps": ["Add: 60258 + (-43555) = 16703", "Multiply: -6516 * (-5744) = 37427904", "Multiply: 16703 * 37427904 = 625158280512"], "final_answer": "625158280512", "answer_type": "integer", "kind": "expression", "math_text": "(60258 + (-43555)) * (-6516 * (-5744))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60258, \"b\": -43555, \"c\": -6516, \"d\": -5744}", "seed": "16224052661703000292", "semantic_fingerprint": "sha256:37e6d895e4e70b96b2401c008d15bf387907e38759ecad207e8f2bce679d9f5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001828", "prompt": "Calculate: (76525 + (4483 - (-2542 - 1187 - (-23488)))) * (-9419)", "solution_steps": ["Subtract: -2542 - 1187 = -3729", "Subtract: -3729 - (-23488) = 19759", "Subtract: 4483 - 19759 = -15276", "Add: 76525 + (-15276) = 61249", "Multiply: 61249 * (-9419) = -576904331"], "final_answer": "-576904331", "answer_type": "integer", "kind": "expression", "math_text": "(76525 + (4483 - (-2542 - 1187 - (-23488)))) * (-9419)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n (- (- n n) n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 76525, \"b\": 4483, \"c\": -2542, \"d\": 1187, \"e\": -23488, \"f\": -9419}", "seed": "6988391909491425514", "semantic_fingerprint": "sha256:9a7ab27605c9d2923a4d2b195893a21b715658800fda5db45462742eea6a6c78", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001829", "prompt": "Compute: 66219 * 90434 - (-4375)", "solution_steps": ["Multiply: 66219 * 90434 = 5988449046", "Subtract: 5988449046 - (-4375) = 5988453421"], "final_answer": "5988453421", "answer_type": "integer", "kind": "expression", "math_text": "66219 * 90434 - (-4375)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66219, \"b\": 90434, \"c\": -4375}", "seed": "11226825800527949590", "semantic_fingerprint": "sha256:7a5f0f6d0c8f13cb745e6348b5beff227db01695d81c12510c841f941118ff03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001830", "prompt": "Calculate: (-8809 + (-47941)) / 65431 * (-75123 - (-7154 - 4111))", "solution_steps": ["Add: -8809 + (-47941) = -56750", "Divide: -56750 / 65431 = -56750/65431", "Subtract: -7154 - 4111 = -11265", "Subtract: -75123 - (-11265) = -63858", "Multiply: (-56750/65431) * (-63858) = 3623941500/65431"], "final_answer": "3623941500/65431", "answer_type": "rational", "kind": "expression", "math_text": "(-8809 + (-47941)) / 65431 * (-75123 - (-7154 - 4111))", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8809, \"b\": -47941, \"c\": 65431, \"d\": -75123, \"e\": -7154, \"f\": 4111}", "seed": "12015972805989965056", "semantic_fingerprint": "sha256:d710251962ece76c497a37ffd79fc0c14f556a9406e5786403d41496f570102d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001831", "prompt": "Compute: 1182 * (-6718) + 79495", "solution_steps": ["Multiply: 1182 * (-6718) = -7940676", "Add: -7940676 + 79495 = -7861181"], "final_answer": "-7861181", "answer_type": "integer", "kind": "expression", "math_text": "1182 * (-6718) + 79495", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1182, \"b\": -6718, \"c\": 79495}", "seed": "18189491759614721736", "semantic_fingerprint": "sha256:0bd3bd226d4ffa91ecf4bb8c3c0968a940a2951d7b51b07cad91e47ce6ea8103", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001832", "prompt": "Find x: -17x - 2375 = 23x + 3905", "solution_steps": ["Subtract 23x from both sides: -40x - 2375 = 3905", "Add 2375 to both sides: -40x = 6280", "Divide both sides by -40: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x - 2375 = 23x + 3905", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 2375, \"c\": 23, \"e\": 3905, \"x\": -157}", "seed": "6341132719683041110", "semantic_fingerprint": "sha256:4e58945d90bf5d4ddc3b3e607d91f98b1c388e6f1a84c9b8addc153aba2f4fa9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001833", "prompt": "What is 2819 / ((69038 - (-9943)) / (-4445))?", "solution_steps": ["Subtract: 69038 - (-9943) = 78981", "Divide: 78981 / (-4445) = -11283/635", "Divide: 2819 / (-11283/635) = -1790065/11283"], "final_answer": "-1790065/11283", "answer_type": "rational", "kind": "expression", "math_text": "2819 / ((69038 - (-9943)) / (-4445))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2819, \"b\": 69038, \"c\": -9943, \"d\": -4445}", "seed": "6283527511573588552", "semantic_fingerprint": "sha256:62947775810f5aeb25fc507f40855fde789f0a292ce94572d4b914ada1ea36fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001834", "prompt": "What value of x satisfies 22x - 25293 = 33x?", "solution_steps": ["Subtract 33x from both sides: -11x - 25293 = 0", "Add 25293 to both sides: -11x = 25293", "Divide both sides by -11: x = -25293/11"], "final_answer": "-25293/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x - 25293 = 33x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 25293, \"c\": 33}", "seed": "806830400456879064", "semantic_fingerprint": "sha256:c43c20d8184ca2ac01e9db53722ea75ed2407ce250c6a9b1e7ed67f8e9fee197", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001835", "prompt": "Solve the equation 36x - 1184 = 28x for x.", "solution_steps": ["Subtract 28x from both sides: 8x - 1184 = 0", "Add 1184 to both sides: 8x = 1184", "Divide both sides by 8: x = 148"], "final_answer": "148", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x - 1184 = 28x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 28, \"d\": -1184, \"x\": 148}", "seed": "15669430645522186929", "semantic_fingerprint": "sha256:893301c8fc98352eb8d91349b5b903bcc517552263df55260ec1f25d9124681c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001836", "prompt": "Calculate: 23695 * 5617 - (7512 + (2033 - (-23228)))", "solution_steps": ["Multiply: 23695 * 5617 = 133094815", "Subtract: 2033 - (-23228) = 25261", "Add: 7512 + 25261 = 32773", "Subtract: 133094815 - 32773 = 133062042"], "final_answer": "133062042", "answer_type": "integer", "kind": "expression", "math_text": "23695 * 5617 - (7512 + (2033 - (-23228)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23695, \"b\": 5617, \"c\": 7512, \"d\": 2033, \"e\": -23228}", "seed": "7623278686325035547", "semantic_fingerprint": "sha256:4a5a498c7a83cd99b13b655ea00fede78fff088585daee86f88cc767bb5cdd5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001837", "prompt": "What is (-1594 - (-27683) / 2605) * 53270?", "solution_steps": ["Divide: -27683 / 2605 = -27683/2605", "Subtract: -1594 - (-27683/2605) = -4124687/2605", "Multiply: (-4124687/2605) * 53270 = -43944415298/521"], "final_answer": "-43944415298/521", "answer_type": "rational", "kind": "expression", "math_text": "(-1594 - (-27683) / 2605) * 53270", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1594, \"b\": -27683, \"c\": 2605, \"d\": 53270}", "seed": "16838243216760620929", "semantic_fingerprint": "sha256:a5d1a48d1701161022cbf10909182ea7961b6dc46b1747adc8542469f584524b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001838", "prompt": "Evaluate: 14730 / (-75425)", "solution_steps": ["Divide: 14730 / (-75425) = -2946/15085"], "final_answer": "-2946/15085", "answer_type": "rational", "kind": "expression", "math_text": "14730 / (-75425)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14730, \"b\": -75425}", "seed": "8945870459686164104", "semantic_fingerprint": "sha256:7b8cd6232c69333728c63896d10bece63bc8cead9313d3a61592e37480db0bde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001839", "prompt": "Calculate: (-4869 - (-4593)) / (-6681)", "solution_steps": ["Subtract: -4869 - (-4593) = -276", "Divide: -276 / (-6681) = 92/2227"], "final_answer": "92/2227", "answer_type": "rational", "kind": "expression", "math_text": "(-4869 - (-4593)) / (-6681)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4869, \"b\": -4593, \"c\": -6681}", "seed": "5125670940734721515", "semantic_fingerprint": "sha256:87ba0806cc97b52b99d6938e1a83e212d496c9f12af314732335d615feb0db6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001840", "prompt": "Evaluate: -4536 - (9399 - 2214)", "solution_steps": ["Subtract: 9399 - 2214 = 7185", "Subtract: -4536 - 7185 = -11721"], "final_answer": "-11721", "answer_type": "integer", "kind": "expression", "math_text": "-4536 - (9399 - 2214)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4536, \"b\": 9399, \"c\": 2214}", "seed": "4527769040201917383", "semantic_fingerprint": "sha256:05a3ab20039bc0d32662612869dd052ac301fa483e39bdc3fcb38026c0e5d217", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001841", "prompt": "Compute: -9334 / (9133 / 94471)", "solution_steps": ["Divide: 9133 / 94471 = 9133/94471", "Divide: -9334 / (9133/94471) = -881792314/9133"], "final_answer": "-881792314/9133", "answer_type": "rational", "kind": "expression", "math_text": "-9334 / (9133 / 94471)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9334, \"b\": 9133, \"c\": 94471}", "seed": "16583286627180012354", "semantic_fingerprint": "sha256:a700ad5e2f0075bc4815a170458a7b37d14579e0dd82f799a15ad3a622febd1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001842", "prompt": "Compute: -61799 + 4030 * 9191", "solution_steps": ["Multiply: 4030 * 9191 = 37039730", "Add: -61799 + 37039730 = 36977931"], "final_answer": "36977931", "answer_type": "integer", "kind": "expression", "math_text": "-61799 + 4030 * 9191", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -61799, \"b\": 4030, \"c\": 9191}", "seed": "11737564849561663735", "semantic_fingerprint": "sha256:a273cbe07a4a576aa3b020bbbda3eaa815afe8eda792f7f20d764ec22591daa8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001843", "prompt": "What is (65914 + (-29886)) * (-15963)?", "solution_steps": ["Add: 65914 + (-29886) = 36028", "Multiply: 36028 * (-15963) = -575114964"], "final_answer": "-575114964", "answer_type": "integer", "kind": "expression", "math_text": "(65914 + (-29886)) * (-15963)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65914, \"b\": -29886, \"c\": -15963}", "seed": "1826705488462500048", "semantic_fingerprint": "sha256:485bf6161acb79a9b8cee5c0a31250292f329f543ff0f71e196bb55240b6c660", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001844", "prompt": "What is (-7489 - 27917) * (-6458 - (44966 + 84854)) + (-8227)?", "solution_steps": ["Subtract: -7489 - 27917 = -35406", "Add: 44966 + 84854 = 129820", "Subtract: -6458 - 129820 = -136278", "Multiply: -35406 * (-136278) = 4825058868", "Add: 4825058868 + (-8227) = 4825050641"], "final_answer": "4825050641", "answer_type": "integer", "kind": "expression", "math_text": "(-7489 - 27917) * (-6458 - (44966 + 84854)) + (-8227)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7489, \"b\": 27917, \"c\": -6458, \"d\": 44966, \"e\": 84854, \"f\": -8227}", "seed": "18431757390295475086", "semantic_fingerprint": "sha256:f885027c41d4139326109bfdf612d46aa2f5dfe6a5940c16f45bde0c5d4f1e64", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001845", "prompt": "What is 2666 / (-20646 + 2064)?", "solution_steps": ["Add: -20646 + 2064 = -18582", "Divide: 2666 / (-18582) = -1333/9291"], "final_answer": "-1333/9291", "answer_type": "rational", "kind": "expression", "math_text": "2666 / (-20646 + 2064)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2666, \"b\": -20646, \"c\": 2064}", "seed": "17855643439480762738", "semantic_fingerprint": "sha256:c4deebd477c8395d708918e6b8176b731f18511a7a4f38e14d83870af451ed06", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001846", "prompt": "Calculate: 36703 / 4323", "solution_steps": ["Divide: 36703 / 4323 = 36703/4323"], "final_answer": "36703/4323", "answer_type": "rational", "kind": "expression", "math_text": "36703 / 4323", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36703, \"b\": 4323}", "seed": "17238323762707333862", "semantic_fingerprint": "sha256:2905f70e007d0a5f5f5c6272898b4b60994256ea391b8af907363d1b2a44d052", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001847", "prompt": "Compute: -4718 + (-3026)", "solution_steps": ["Add: -4718 + (-3026) = -7744"], "final_answer": "-7744", "answer_type": "integer", "kind": "expression", "math_text": "-4718 + (-3026)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4718, \"b\": -3026}", "seed": "15586070331194232275", "semantic_fingerprint": "sha256:275fe2b90e4c23c565815f93ab3258460b1075cbced88cc929dedabc63a1b786", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001848", "prompt": "Compute: -6120 / (9856 + 73332)", "solution_steps": ["Add: 9856 + 73332 = 83188", "Divide: -6120 / 83188 = -1530/20797"], "final_answer": "-1530/20797", "answer_type": "rational", "kind": "expression", "math_text": "-6120 / (9856 + 73332)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6120, \"b\": 9856, \"c\": 73332}", "seed": "15732007335053152480", "semantic_fingerprint": "sha256:7bf79758c641f27354f4cde17862d1e95659cbf4f1ac933663825a2164f927e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001849", "prompt": "Solve for x: 34x = 13x", "solution_steps": ["Subtract 13x from both sides: 21x = 0", "Divide both sides by 21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x = 13x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 13}", "seed": "4426769429291956167", "semantic_fingerprint": "sha256:c6a95af32ea495c26fb1436cbf85d679cdb8dfcf34a87c6891d0ca17438bc679", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001850", "prompt": "Calculate: 9489 + 9266 + (-42019)", "solution_steps": ["Add: 9489 + 9266 = 18755", "Add: 18755 + (-42019) = -23264"], "final_answer": "-23264", "answer_type": "integer", "kind": "expression", "math_text": "9489 + 9266 + (-42019)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9489, \"b\": 9266, \"c\": -42019}", "seed": "14157727012916966553", "semantic_fingerprint": "sha256:f034ea2866b318bc52316b1fd0196e5bfbc1efa29613b4e8f9926b38cda9c59e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001851", "prompt": "Compute: -4889 * 5468 + 3330 + (8985 + (-9818))", "solution_steps": ["Multiply: -4889 * 5468 = -26733052", "Add: -26733052 + 3330 = -26729722", "Add: 8985 + (-9818) = -833", "Add: -26729722 + (-833) = -26730555"], "final_answer": "-26730555", "answer_type": "integer", "kind": "expression", "math_text": "-4889 * 5468 + 3330 + (8985 + (-9818))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4889, \"b\": 5468, \"c\": 3330, \"d\": 8985, \"e\": -9818}", "seed": "5840712501944236312", "semantic_fingerprint": "sha256:95417c9587fa954b936d62ec774621757b3cb2c1061490633ed6e2ef67b6b64e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001852", "prompt": "Compute: -5159 * (-89127) - (-27901 - 81956)", "solution_steps": ["Multiply: -5159 * (-89127) = 459806193", "Subtract: -27901 - 81956 = -109857", "Subtract: 459806193 - (-109857) = 459916050"], "final_answer": "459916050", "answer_type": "integer", "kind": "expression", "math_text": "-5159 * (-89127) - (-27901 - 81956)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5159, \"b\": -89127, \"c\": -27901, \"d\": 81956}", "seed": "4094466417828610411", "semantic_fingerprint": "sha256:f5e0ba72c6339ede2ee134c7ac54d2c5718129dae7c0096b5c61a25db055e705", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001853", "prompt": "Compute: (7035 + (-9160)) / 39967", "solution_steps": ["Add: 7035 + (-9160) = -2125", "Divide: -2125 / 39967 = -125/2351"], "final_answer": "-125/2351", "answer_type": "rational", "kind": "expression", "math_text": "(7035 + (-9160)) / 39967", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7035, \"b\": -9160, \"c\": 39967}", "seed": "1206517655104547396", "semantic_fingerprint": "sha256:17e5be9bd8a5344c0b5137249943287ebbc50df0441b2ad7e8d4da1f7970a48a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001854", "prompt": "Calculate: 5255 * 3514", "solution_steps": ["Multiply: 5255 * 3514 = 18466070"], "final_answer": "18466070", "answer_type": "integer", "kind": "expression", "math_text": "5255 * 3514", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5255, \"b\": 3514}", "seed": "2893711035808112598", "semantic_fingerprint": "sha256:1647aafb736d5fcae2c5d6fa48e5f07d2e29d1471048af91691d5bdd1b54ebe5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001855", "prompt": "Compute: 49552 * 3334", "solution_steps": ["Multiply: 49552 * 3334 = 165206368"], "final_answer": "165206368", "answer_type": "integer", "kind": "expression", "math_text": "49552 * 3334", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 49552, \"b\": 3334}", "seed": "9262214895048667421", "semantic_fingerprint": "sha256:86ab4274fc2ed43d0fbd2221e5219b33d1fe28bc5a24f3cee503cb388c7de67f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001856", "prompt": "Calculate: -1725 * (-2939 * (2927 / 1090))", "solution_steps": ["Divide: 2927 / 1090 = 2927/1090", "Multiply: -2939 * (2927/1090) = -8602453/1090", "Multiply: -1725 * (-8602453/1090) = 2967846285/218"], "final_answer": "2967846285/218", "answer_type": "rational", "kind": "expression", "math_text": "-1725 * (-2939 * (2927 / 1090))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1725, \"b\": -2939, \"c\": 2927, \"d\": 1090}", "seed": "17158882527561784159", "semantic_fingerprint": "sha256:a88e54a40d5c0f7853eb0dfbe2478d32a7389411349af5e36afd9fa7a4ec3c5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001857", "prompt": "Solve the equation -39x + 96771 = -38(x + 4171) - 25643 for x.", "solution_steps": ["Expand: -39x + 96771 = -38x - 158498 - 25643", "Combine constants: -39x + 96771 = -38x - 184141", "Add 38x to both sides: -x + 96771 = -184141", "Subtract 96771 from both sides: -x = -280912", "Divide both sides by -1: x = 280912"], "final_answer": "280912", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x + 96771 = -38(x + 4171) - 25643", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 96771, \"c\": -38, \"d\": 4171, \"e\": 25643}", "seed": "12523895306980879467", "semantic_fingerprint": "sha256:4b6f688d3e3e084f599248c3667f51fe7fd2ad5e6bb4b4e894bc6e1054ce57d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001858", "prompt": "Compute: (47611 + (-29540)) * (40246 - 19479)", "solution_steps": ["Add: 47611 + (-29540) = 18071", "Subtract: 40246 - 19479 = 20767", "Multiply: 18071 * 20767 = 375280457"], "final_answer": "375280457", "answer_type": "integer", "kind": "expression", "math_text": "(47611 + (-29540)) * (40246 - 19479)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 47611, \"b\": -29540, \"c\": 40246, \"d\": 19479}", "seed": "8195392126716115902", "semantic_fingerprint": "sha256:2b932fd3a9692d92700942eff7b4538064e940d7d42d270ed0b9883181fdc1c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001859", "prompt": "Calculate: 8073 - (-4916) / (-8630) * (-99748)", "solution_steps": ["Divide: -4916 / (-8630) = 2458/4315", "Multiply: (2458/4315) * (-99748) = -245180584/4315", "Subtract: 8073 - (-245180584/4315) = 280015579/4315"], "final_answer": "280015579/4315", "answer_type": "rational", "kind": "expression", "math_text": "8073 - (-4916) / (-8630) * (-99748)", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8073, \"b\": -4916, \"c\": -8630, \"d\": -99748}", "seed": "15528730945407025548", "semantic_fingerprint": "sha256:61521012e0ee545be1138b69e320e52eec2ce905f23002a579a1e983384ba390", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001860", "prompt": "Calculate: 1541 / (-7113 + (-4425))", "solution_steps": ["Add: -7113 + (-4425) = -11538", "Divide: 1541 / (-11538) = -1541/11538"], "final_answer": "-1541/11538", "answer_type": "rational", "kind": "expression", "math_text": "1541 / (-7113 + (-4425))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1541, \"b\": -7113, \"c\": -4425}", "seed": "2979220591217802040", "semantic_fingerprint": "sha256:ad089cb930816814f3dec5c67e1f1883c12b4d3b1f4ac657a47117cf35e9593b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001861", "prompt": "What is -16155 + 37725?", "solution_steps": ["Add: -16155 + 37725 = 21570"], "final_answer": "21570", "answer_type": "integer", "kind": "expression", "math_text": "-16155 + 37725", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -16155, \"b\": 37725}", "seed": "12653671742132128168", "semantic_fingerprint": "sha256:308cf1d23d99654bbf1ce40b0887604bebc4f78b614b776d2c119f0281c8f283", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001862", "prompt": "Compute: -79172 - (-7819) + 7777", "solution_steps": ["Subtract: -79172 - (-7819) = -71353", "Add: -71353 + 7777 = -63576"], "final_answer": "-63576", "answer_type": "integer", "kind": "expression", "math_text": "-79172 - (-7819) + 7777", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79172, \"b\": -7819, \"c\": 7777}", "seed": "18408825719631352629", "semantic_fingerprint": "sha256:1e32d8d0af3d31ae84890aa766f3e089ba475fe2ce46dd7cc36ef6d682b0083f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001863", "prompt": "Solve for x: -13(x - 6346) = 24(x + 1085) + 52277", "solution_steps": ["Expand: -13x + 82498 = 24(x + 1085) + 52277", "Expand: -13x + 82498 = 24x + 26040 + 52277", "Combine constants: -13x + 82498 = 24x + 78317", "Subtract 24x from both sides: -37x + 82498 = 78317", "Subtract 82498 from both sides: -37x = -4181", "Divide both sides by -37: x = 113"], "final_answer": "113", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 6346) = 24(x + 1085) + 52277", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 6346, \"c\": 24, \"d\": 1085, \"f\": 52277, \"x\": 113}", "seed": "6746879429879944550", "semantic_fingerprint": "sha256:ded787a67963f48c804b9ac950845d3fe7b88be00b5d16d2f6d0506c7221376a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001864", "prompt": "Solve the equation -15x - 7084 = x + 4502 for x.", "solution_steps": ["Subtract x from both sides: -16x - 7084 = 4502", "Add 7084 to both sides: -16x = 11586", "Divide both sides by -16: x = -5793/8"], "final_answer": "-5793/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15x - 7084 = x + 4502", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 7084, \"c\": 4502}", "seed": "6963271915771517665", "semantic_fingerprint": "sha256:20781bf0a09b7efd15b8b5361f05ff7d3fde8699e1fcb58dd238390a776d3f6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001865", "prompt": "Evaluate: (5732 + (-9017)) * 5596 + (-64977) * (-3850 - 5748)", "solution_steps": ["Add: 5732 + (-9017) = -3285", "Multiply: -3285 * 5596 = -18382860", "Subtract: -3850 - 5748 = -9598", "Multiply: -64977 * (-9598) = 623649246", "Add: -18382860 + 623649246 = 605266386"], "final_answer": "605266386", "answer_type": "integer", "kind": "expression", "math_text": "(5732 + (-9017)) * 5596 + (-64977) * (-3850 - 5748)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5732, \"b\": -9017, \"c\": 5596, \"d\": -64977, \"e\": -3850, \"f\": 5748}", "seed": "9246442761730017469", "semantic_fingerprint": "sha256:1586afd2d6e58db8ac2bfd32d725081a3039ad9ae69c534cb03229bd02e4a262", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001866", "prompt": "Calculate: 1001 * (-8964) + (-4397) / 43203 + (-12423)", "solution_steps": ["Multiply: 1001 * (-8964) = -8972964", "Divide: -4397 / 43203 = -4397/43203", "Add: -8972964 + (-4397/43203) = -387658968089/43203", "Add: -387658968089/43203 + (-12423) = -388195678958/43203"], "final_answer": "-388195678958/43203", "answer_type": "rational", "kind": "expression", "math_text": "1001 * (-8964) + (-4397) / 43203 + (-12423)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1001, \"b\": -8964, \"c\": -4397, \"d\": 43203, \"e\": -12423}", "seed": "15685617869136792776", "semantic_fingerprint": "sha256:760dee23b9da505a05e46c538279c45244a15c61dabb8cc5e7758a60fff89dc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001867", "prompt": "What is 59936 / (-6429) + (2841 + (-4608)) * (-62542 - (-8515))?", "solution_steps": ["Divide: 59936 / (-6429) = -59936/6429", "Add: 2841 + (-4608) = -1767", "Subtract: -62542 - (-8515) = -54027", "Multiply: -1767 * (-54027) = 95465709", "Add: -59936/6429 + 95465709 = 613748983225/6429"], "final_answer": "613748983225/6429", "answer_type": "rational", "kind": "expression", "math_text": "59936 / (-6429) + (2841 + (-4608)) * (-62542 - (-8515))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 59936, \"b\": -6429, \"c\": 2841, \"d\": -4608, \"e\": -62542, \"f\": -8515}", "seed": "12924909770396389824", "semantic_fingerprint": "sha256:36b54ce4f6c70d532d0707b3982db1b540969ef0bcc3927e1658f75891a18130", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001868", "prompt": "Find x: 14(x - 2400) - 39748 = x - 75077", "solution_steps": ["Expand: 14x - 33600 - 39748 = x - 75077", "Combine constants: 14x - 73348 = x - 75077", "Subtract x from both sides: 13x - 73348 = -75077", "Add 73348 to both sides: 13x = -1729", "Divide both sides by 13: x = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 2400) - 39748 = x - 75077", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2400, \"c\": 39748, \"e\": -75077, \"x\": -133}", "seed": "3799585274973690948", "semantic_fingerprint": "sha256:6a96ebf0c27943f06aed4c8d85755695c55fa9838c1410f346c45aa29f29eb52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001869", "prompt": "What is -15248 * (-7097) + (-30572) - 8978 * 27816?", "solution_steps": ["Multiply: -15248 * (-7097) = 108215056", "Add: 108215056 + (-30572) = 108184484", "Multiply: 8978 * 27816 = 249732048", "Subtract: 108184484 - 249732048 = -141547564"], "final_answer": "-141547564", "answer_type": "integer", "kind": "expression", "math_text": "-15248 * (-7097) + (-30572) - 8978 * 27816", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15248, \"b\": -7097, \"c\": -30572, \"d\": 8978, \"e\": 27816}", "seed": "14069119465745637984", "semantic_fingerprint": "sha256:783657643b691ef405d81ba30f9de085be829a69c732d994f28fccbb96f9bf48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001870", "prompt": "Compute: -26014 / (-63635 / (-2722))", "solution_steps": ["Divide: -63635 / (-2722) = 63635/2722", "Divide: -26014 / (63635/2722) = -70810108/63635"], "final_answer": "-70810108/63635", "answer_type": "rational", "kind": "expression", "math_text": "-26014 / (-63635 / (-2722))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26014, \"b\": -63635, \"c\": -2722}", "seed": "5874983972210242673", "semantic_fingerprint": "sha256:2f081eedca6ec76ccacb4904068dbca0e9369eed60799fbac6f5ee82a7ac0008", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001871", "prompt": "Calculate: -88663 / (-66262)", "solution_steps": ["Divide: -88663 / (-66262) = 88663/66262"], "final_answer": "88663/66262", "answer_type": "rational", "kind": "expression", "math_text": "-88663 / (-66262)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88663, \"b\": -66262}", "seed": "10989774886573599647", "semantic_fingerprint": "sha256:c2845576b634619a425b2820c5f165a0318af3b2a083cdd9481d383e43bc2b19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001872", "prompt": "What is (86096 + (-1096)) / (-86017 - 1555)?", "solution_steps": ["Add: 86096 + (-1096) = 85000", "Subtract: -86017 - 1555 = -87572", "Divide: 85000 / (-87572) = -21250/21893"], "final_answer": "-21250/21893", "answer_type": "rational", "kind": "expression", "math_text": "(86096 + (-1096)) / (-86017 - 1555)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86096, \"b\": -1096, \"c\": -86017, \"d\": 1555}", "seed": "14753884386888890896", "semantic_fingerprint": "sha256:9b5b7c4e3dcf2e96e79603e8f109d0a3ea8dc333fcdbf2125f2f43c309a7f60f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001873", "prompt": "Evaluate: -5691 * (-1243) * 7073", "solution_steps": ["Multiply: -5691 * (-1243) = 7073913", "Multiply: 7073913 * 7073 = 50033786649"], "final_answer": "50033786649", "answer_type": "integer", "kind": "expression", "math_text": "-5691 * (-1243) * 7073", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5691, \"b\": -1243, \"c\": 7073}", "seed": "9730730732163731781", "semantic_fingerprint": "sha256:3855c9cef531acf60bf2345f84ada75f88801d29408c8ef71d9ca0aaf8302a93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001874", "prompt": "Compute: (-4423 - 76422 - (-2234) * 4628) * 8455", "solution_steps": ["Subtract: -4423 - 76422 = -80845", "Multiply: -2234 * 4628 = -10338952", "Subtract: -80845 - (-10338952) = 10258107", "Multiply: 10258107 * 8455 = 86732294685"], "final_answer": "86732294685", "answer_type": "integer", "kind": "expression", "math_text": "(-4423 - 76422 - (-2234) * 4628) * 8455", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4423, \"b\": 76422, \"c\": -2234, \"d\": 4628, \"e\": 8455}", "seed": "13388708721922792526", "semantic_fingerprint": "sha256:2f136a49ac0b3b5c9fa2344a748707b3738d26fb6c51a28bbf8e1a9d23375446", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001875", "prompt": "Compute: -11000 * (6832 + (-6339) / 9257)", "solution_steps": ["Divide: -6339 / 9257 = -6339/9257", "Add: 6832 + (-6339/9257) = 63237485/9257", "Multiply: -11000 * (63237485/9257) = -695612335000/9257"], "final_answer": "-695612335000/9257", "answer_type": "rational", "kind": "expression", "math_text": "-11000 * (6832 + (-6339) / 9257)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -11000, \"b\": 6832, \"c\": -6339, \"d\": 9257}", "seed": "16430379702417807949", "semantic_fingerprint": "sha256:26f62023edec2fd82358c0f7951ccc8749ec7b9f4c218f2a5cda9efa46626b7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001876", "prompt": "Calculate: 98834 - (-2784)", "solution_steps": ["Subtract: 98834 - (-2784) = 101618"], "final_answer": "101618", "answer_type": "integer", "kind": "expression", "math_text": "98834 - (-2784)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98834, \"b\": -2784}", "seed": "4610520715021504489", "semantic_fingerprint": "sha256:ee865d0e14af72ce2c05a0743b93b092e3b42170233df95e39cbf0b7c5647a7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001877", "prompt": "Find x: -22(x + 3168) + 78825 = 29x", "solution_steps": ["Expand: -22x - 69696 + 78825 = 29x", "Combine constants: -22x + 9129 = 29x", "Subtract 29x from both sides: -51x + 9129 = 0", "Subtract 9129 from both sides: -51x = -9129", "Divide both sides by -51: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22(x + 3168) + 78825 = 29x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 3168, \"c\": 29, \"e\": 78825, \"x\": 179}", "seed": "14117038748926877648", "semantic_fingerprint": "sha256:71ded4b67357bf68bddad2fa55dd2e160656e8722d98963f8d0fdc53c27ffec2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001878", "prompt": "Find x: 22(x - 9600) = x - 8844", "solution_steps": ["Expand: 22x - 211200 = x - 8844", "Subtract x from both sides: 21x - 211200 = -8844", "Add 211200 to both sides: 21x = 202356", "Divide both sides by 21: x = 9636"], "final_answer": "9636", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x - 9600) = x - 8844", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 9600, \"c\": 8844}", "seed": "7903569306440290586", "semantic_fingerprint": "sha256:48c2ef7e441edc5fd22b10c2d778ded6baed27d82b526fb91bc6da4bf3bbe9a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001879", "prompt": "Calculate: (-90717 - (-14965)) * (-6253 * (-4849) / (-28480))", "solution_steps": ["Subtract: -90717 - (-14965) = -75752", "Multiply: -6253 * (-4849) = 30320797", "Divide: 30320797 / (-28480) = -30320797/28480", "Multiply: -75752 * (-30320797/28480) = 287107626793/3560"], "final_answer": "287107626793/3560", "answer_type": "rational", "kind": "expression", "math_text": "(-90717 - (-14965)) * (-6253 * (-4849) / (-28480))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -90717, \"b\": -14965, \"c\": -6253, \"d\": -4849, \"e\": -28480}", "seed": "17458493709214521049", "semantic_fingerprint": "sha256:81eadeae333d0574562a4b5dd7812d0b692338e1b0b366537df153f6ef4a6f51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001880", "prompt": "Compute: 25523 * 7536 + 5026", "solution_steps": ["Multiply: 25523 * 7536 = 192341328", "Add: 192341328 + 5026 = 192346354"], "final_answer": "192346354", "answer_type": "integer", "kind": "expression", "math_text": "25523 * 7536 + 5026", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25523, \"b\": 7536, \"c\": 5026}", "seed": "2284933759134375587", "semantic_fingerprint": "sha256:e22ea5329168c4dfe6d4069579d585fecabc7aa1475c49673bdeb8f5526cd03d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001881", "prompt": "Evaluate: -22341 / (-98841) - (-16210)", "solution_steps": ["Divide: -22341 / (-98841) = 7447/32947", "Subtract: 7447/32947 - (-16210) = 534078317/32947"], "final_answer": "534078317/32947", "answer_type": "rational", "kind": "expression", "math_text": "-22341 / (-98841) - (-16210)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22341, \"b\": -98841, \"c\": -16210}", "seed": "10649149677799913640", "semantic_fingerprint": "sha256:c25063ee975ca9ecede609799b0e4310575de0206ed568748904f3e3d65a116d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001882", "prompt": "Evaluate: -8043 - (-76543)", "solution_steps": ["Subtract: -8043 - (-76543) = 68500"], "final_answer": "68500", "answer_type": "integer", "kind": "expression", "math_text": "-8043 - (-76543)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8043, \"b\": -76543}", "seed": "4146614543100621248", "semantic_fingerprint": "sha256:6bf90677a5d6d5c0282e8d75f64d444adc4bbe86e8af9d0adc712e046d12b701", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001883", "prompt": "Find x: -16(x + 99614) = 33(x - 47542)", "solution_steps": ["Expand: -16x - 1593824 = 33(x - 47542)", "Expand: -16x - 1593824 = 33x - 1568886", "Subtract 33x from both sides: -49x - 1593824 = -1568886", "Add 1593824 to both sides: -49x = 24938", "Divide both sides by -49: x = -24938/49"], "final_answer": "-24938/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 99614) = 33(x - 47542)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 99614, \"c\": 33, \"d\": 47542}", "seed": "6641361964176901665", "semantic_fingerprint": "sha256:5e6672bcb988f37943ff406c3cfd5df8294488ab0ba8d99f1b6f908572d87efa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001884", "prompt": "Solve for x: 15(x - 9305) = x", "solution_steps": ["Expand: 15x - 139575 = x", "Subtract x from both sides: 14x - 139575 = 0", "Add 139575 to both sides: 14x = 139575", "Divide both sides by 14: x = 139575/14"], "final_answer": "139575/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 9305) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 9305}", "seed": "7087058587663433145", "semantic_fingerprint": "sha256:a056a28dee01202bb71f1970459de91ad39dad0d940e950d366ed5571b0407ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001885", "prompt": "Compute: 14198 + (-67105) / 4744", "solution_steps": ["Divide: -67105 / 4744 = -67105/4744", "Add: 14198 + (-67105/4744) = 67288207/4744"], "final_answer": "67288207/4744", "answer_type": "rational", "kind": "expression", "math_text": "14198 + (-67105) / 4744", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14198, \"b\": -67105, \"c\": 4744}", "seed": "7099708137165764576", "semantic_fingerprint": "sha256:b1bb6f3380125c3271efdd84ffbfd7e43155397e142a9b6a57abdb2cd471c53b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001886", "prompt": "Compute: -94325 * (9175 / (3846 + (-2809)))", "solution_steps": ["Add: 3846 + (-2809) = 1037", "Divide: 9175 / 1037 = 9175/1037", "Multiply: -94325 * (9175/1037) = -865431875/1037"], "final_answer": "-865431875/1037", "answer_type": "rational", "kind": "expression", "math_text": "-94325 * (9175 / (3846 + (-2809)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94325, \"b\": 9175, \"c\": 3846, \"d\": -2809}", "seed": "13804606412722684058", "semantic_fingerprint": "sha256:b6d724a9ac07c5ffacee5dffb165b44873882373d837378c64e608483277fc48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001887", "prompt": "Calculate: 18168 - 2276", "solution_steps": ["Subtract: 18168 - 2276 = 15892"], "final_answer": "15892", "answer_type": "integer", "kind": "expression", "math_text": "18168 - 2276", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 18168, \"b\": 2276}", "seed": "13454108084220705691", "semantic_fingerprint": "sha256:4205fe6f46819d8105d1c508e07dd10ada47f994c2704961752b7aee73f7c40a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001888", "prompt": "Evaluate: -67090 + (5911 + (-7224) / 5082)", "solution_steps": ["Divide: -7224 / 5082 = -172/121", "Add: 5911 + (-172/121) = 715059/121", "Add: -67090 + 715059/121 = -7402831/121"], "final_answer": "-7402831/121", "answer_type": "rational", "kind": "expression", "math_text": "-67090 + (5911 + (-7224) / 5082)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -67090, \"b\": 5911, \"c\": -7224, \"d\": 5082}", "seed": "12040307088202333306", "semantic_fingerprint": "sha256:4e19d4e99ca77a028ba48a78dde455619c3a7b8f25b3675efe899ef3521b887b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001889", "prompt": "Evaluate: (-58003 * (-30050) - 78722) / (-5735)", "solution_steps": ["Multiply: -58003 * (-30050) = 1742990150", "Subtract: 1742990150 - 78722 = 1742911428", "Divide: 1742911428 / (-5735) = -1742911428/5735"], "final_answer": "-1742911428/5735", "answer_type": "rational", "kind": "expression", "math_text": "(-58003 * (-30050) - 78722) / (-5735)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -58003, \"b\": -30050, \"c\": 78722, \"d\": -5735}", "seed": "6338175101359634632", "semantic_fingerprint": "sha256:c095cf790c1cd02d3aa1450d9de861981cc54efade804b64accb3f65dc61a3d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001890", "prompt": "Solve for x: x - 43060 = -34(x + 1355)", "solution_steps": ["Expand: x - 43060 = -34x - 46070", "Add 34x to both sides: 35x - 43060 = -46070", "Add 43060 to both sides: 35x = -3010", "Divide both sides by 35: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 43060 = -34(x + 1355)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 1355, \"d\": -43060, \"x\": -86}", "seed": "5606415284288263414", "semantic_fingerprint": "sha256:82939992e40a2c04db71137629d30037dc916e746ccd9f05874e9171fb652c4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001891", "prompt": "Solve for x: x - 3633 = -3816", "solution_steps": ["Add 3633 to both sides: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3633 = -3816", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3633, \"c\": -3816, \"x\": -183}", "seed": "10193188707378153129", "semantic_fingerprint": "sha256:c265ed3db1c46e18e1668644d4041d077c71cebe64da55093c0c989b847620f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001892", "prompt": "Calculate: 5314 + 9593 - 30280", "solution_steps": ["Add: 5314 + 9593 = 14907", "Subtract: 14907 - 30280 = -15373"], "final_answer": "-15373", "answer_type": "integer", "kind": "expression", "math_text": "5314 + 9593 - 30280", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5314, \"b\": 9593, \"c\": 30280}", "seed": "5823055697704539510", "semantic_fingerprint": "sha256:b2268094565fca3d60a41c9c99e69c4b1fe597f0e79e11490e746cee6e7bb06c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001893", "prompt": "Compute: 8971 / (-70689 + 22331)", "solution_steps": ["Add: -70689 + 22331 = -48358", "Divide: 8971 / (-48358) = -8971/48358"], "final_answer": "-8971/48358", "answer_type": "rational", "kind": "expression", "math_text": "8971 / (-70689 + 22331)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8971, \"b\": -70689, \"c\": 22331}", "seed": "1786509511060178471", "semantic_fingerprint": "sha256:f36f0f4554e1dac300bac97617d7595c818ea01e5137b0445d2bc048de14ab4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001894", "prompt": "What value of x satisfies x = 27(x - 51235) - 31836?", "solution_steps": ["Expand: x = 27x - 1383345 - 31836", "Combine constants: x = 27x - 1415181", "Subtract 27x from both sides: -26x = -1415181", "Divide both sides by -26: x = 1415181/26"], "final_answer": "1415181/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x - 51235) - 31836", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 51235, \"c\": 31836}", "seed": "17378055216072256398", "semantic_fingerprint": "sha256:18ef52656e51583fda97eac836ea4fb16a6cfe501d8c3e8f03df68dee133e997", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001895", "prompt": "Evaluate: 65860 / (27199 - (-12108)) + (-54970)", "solution_steps": ["Subtract: 27199 - (-12108) = 39307", "Divide: 65860 / 39307 = 65860/39307", "Add: 65860/39307 + (-54970) = -2160639930/39307"], "final_answer": "-2160639930/39307", "answer_type": "rational", "kind": "expression", "math_text": "65860 / (27199 - (-12108)) + (-54970)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 65860, \"b\": 27199, \"c\": -12108, \"d\": -54970}", "seed": "3203877493645366213", "semantic_fingerprint": "sha256:d55d365b7a23ebb9038e0165c0288b984ae4c86736fc525074fa142640085a28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001896", "prompt": "What is -17022 / 6039?", "solution_steps": ["Divide: -17022 / 6039 = -5674/2013"], "final_answer": "-5674/2013", "answer_type": "rational", "kind": "expression", "math_text": "-17022 / 6039", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17022, \"b\": 6039}", "seed": "2772931379856611141", "semantic_fingerprint": "sha256:4009675c23b36996e9d6c9ec1ec216410a32987d6a8782825ee42951f9270c37", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001897", "prompt": "What is (9478 + (-11781)) / (-62234)?", "solution_steps": ["Add: 9478 + (-11781) = -2303", "Divide: -2303 / (-62234) = 2303/62234"], "final_answer": "2303/62234", "answer_type": "rational", "kind": "expression", "math_text": "(9478 + (-11781)) / (-62234)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9478, \"b\": -11781, \"c\": -62234}", "seed": "4354158895505114948", "semantic_fingerprint": "sha256:d5f6e55fa2dee6089984f0ad0bc9c873216abb478ee5fef30e96a610b204bcd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001898", "prompt": "Find x: -30(x - 13406) + 69094 = x", "solution_steps": ["Expand: -30x + 402180 + 69094 = x", "Combine constants: -30x + 471274 = x", "Subtract x from both sides: -31x + 471274 = 0", "Subtract 471274 from both sides: -31x = -471274", "Divide both sides by -31: x = 471274/31"], "final_answer": "471274/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 13406) + 69094 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 13406, \"c\": 69094}", "seed": "10172952156025212545", "semantic_fingerprint": "sha256:da9d6a4dfad2af2645ce43ade9b2a04ce8f336a37b0a8d63ae47dbf0ca932e1b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001899", "prompt": "Solve for x: x + 82651 = 30(x + 8745)", "solution_steps": ["Expand: x + 82651 = 30x + 262350", "Subtract 30x from both sides: -29x + 82651 = 262350", "Subtract 82651 from both sides: -29x = 179699", "Divide both sides by -29: x = -179699/29"], "final_answer": "-179699/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 82651 = 30(x + 8745)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82651, \"b\": 30, \"c\": 8745}", "seed": "11404822340007065287", "semantic_fingerprint": "sha256:90cdc675a1f49e5166ed2b15cedbc4bbde18acf74d23657507813ad9a39fe47f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001900", "prompt": "Calculate: -8453 * (-7525) - 2054 * (-8518)", "solution_steps": ["Multiply: -8453 * (-7525) = 63608825", "Multiply: 2054 * (-8518) = -17495972", "Subtract: 63608825 - (-17495972) = 81104797"], "final_answer": "81104797", "answer_type": "integer", "kind": "expression", "math_text": "-8453 * (-7525) - 2054 * (-8518)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8453, \"b\": -7525, \"c\": 2054, \"d\": -8518}", "seed": "12653852828078491977", "semantic_fingerprint": "sha256:be963f5c3205c7058d51c06c229d3e738f8ac323200da5f933a45de8a187e19d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001901", "prompt": "Evaluate: 35233 / (-1246)", "solution_steps": ["Divide: 35233 / (-1246) = -35233/1246"], "final_answer": "-35233/1246", "answer_type": "rational", "kind": "expression", "math_text": "35233 / (-1246)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35233, \"b\": -1246}", "seed": "4549547222647926393", "semantic_fingerprint": "sha256:666d875288e6cdf7cf2f5fd271dfe6804962194daa213fc4fde763f00b95c043", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001902", "prompt": "Calculate: -6063 + (-4136)", "solution_steps": ["Add: -6063 + (-4136) = -10199"], "final_answer": "-10199", "answer_type": "integer", "kind": "expression", "math_text": "-6063 + (-4136)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6063, \"b\": -4136}", "seed": "6745059073561023949", "semantic_fingerprint": "sha256:cc2f447c7c5c8be9dc70002e21f142265c80d749188383771d0427c04bc5fbc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001903", "prompt": "Compute: -1046 * ((-8133 + (-2524 + (-3806))) * (-9790 - (-5445)))", "solution_steps": ["Add: -2524 + (-3806) = -6330", "Add: -8133 + (-6330) = -14463", "Subtract: -9790 - (-5445) = -4345", "Multiply: -14463 * (-4345) = 62841735", "Multiply: -1046 * 62841735 = -65732454810"], "final_answer": "-65732454810", "answer_type": "integer", "kind": "expression", "math_text": "-1046 * ((-8133 + (-2524 + (-3806))) * (-9790 - (-5445)))", "variable": null, "family": "expression_5op", "shape": "(* n (* (+ n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1046, \"b\": -8133, \"c\": -2524, \"d\": -3806, \"e\": -9790, \"f\": -5445}", "seed": "10004657901138295348", "semantic_fingerprint": "sha256:8722617240627997849692c93adc2eeac898461779d6a09cff1a3b3e46e67545", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001904", "prompt": "Compute: -37821 - (3048 + (33410 + (-3657)))", "solution_steps": ["Add: 33410 + (-3657) = 29753", "Add: 3048 + 29753 = 32801", "Subtract: -37821 - 32801 = -70622"], "final_answer": "-70622", "answer_type": "integer", "kind": "expression", "math_text": "-37821 - (3048 + (33410 + (-3657)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37821, \"b\": 3048, \"c\": 33410, \"d\": -3657}", "seed": "18215443168691309191", "semantic_fingerprint": "sha256:553aa92b5039efe63f723ddbe7576a65b39e55caf79f69a718c66b2fb307ddd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001905", "prompt": "Solve the equation 22(x + 2584) = 13(x + 4081) + 9656 for x.", "solution_steps": ["Expand: 22x + 56848 = 13(x + 4081) + 9656", "Expand: 22x + 56848 = 13x + 53053 + 9656", "Combine constants: 22x + 56848 = 13x + 62709", "Subtract 13x from both sides: 9x + 56848 = 62709", "Subtract 56848 from both sides: 9x = 5861", "Divide both sides by 9: x = 5861/9"], "final_answer": "5861/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 2584) = 13(x + 4081) + 9656", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2584, \"c\": 13, \"d\": 4081, \"e\": 9656}", "seed": "14559824576000000044", "semantic_fingerprint": "sha256:3a34c8a3eddd4b358d7e3b5823d1092e9be49ffc2d7266e99a4a664fb3d2f63c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001906", "prompt": "Find x: x = -13x", "solution_steps": ["Add 13x to both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -13x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13}", "seed": "1051852761300797611", "semantic_fingerprint": "sha256:6e4dd2dc9139280f5acca3710cb8170a2edbe276fd159fe14fce45e0560cc763", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001907", "prompt": "Compute: -3413 * (-8628 - (-8255))", "solution_steps": ["Subtract: -8628 - (-8255) = -373", "Multiply: -3413 * (-373) = 1273049"], "final_answer": "1273049", "answer_type": "integer", "kind": "expression", "math_text": "-3413 * (-8628 - (-8255))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3413, \"b\": -8628, \"c\": -8255}", "seed": "11711367504662322511", "semantic_fingerprint": "sha256:44ff6c997cf8812bd79ec26f43d5c18a9d693ac18c2c673a3ae33a471b05a31b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001908", "prompt": "What is 71487 * (-76484)?", "solution_steps": ["Multiply: 71487 * (-76484) = -5467611708"], "final_answer": "-5467611708", "answer_type": "integer", "kind": "expression", "math_text": "71487 * (-76484)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 71487, \"b\": -76484}", "seed": "9646429089096128244", "semantic_fingerprint": "sha256:0541eee1e40ff30a6b072a76e776cb171cb2d03bb459a98aeb788f7870e3da6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001909", "prompt": "Compute: -37908 * (-2548) - (-9164) / (-7756) - 30776", "solution_steps": ["Multiply: -37908 * (-2548) = 96589584", "Divide: -9164 / (-7756) = 2291/1939", "Subtract: 96589584 - 2291/1939 = 187287201085/1939", "Subtract: 187287201085/1939 - 30776 = 187227526421/1939"], "final_answer": "187227526421/1939", "answer_type": "rational", "kind": "expression", "math_text": "-37908 * (-2548) - (-9164) / (-7756) - 30776", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37908, \"b\": -2548, \"c\": -9164, \"d\": -7756, \"e\": 30776}", "seed": "322319472168500871", "semantic_fingerprint": "sha256:5cf08783b9511ae7d3b9f852997542edb67f320f4242f3e773ee0532f3f1d9ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001910", "prompt": "Find x: 13x - 2977 = x - 2665", "solution_steps": ["Subtract x from both sides: 12x - 2977 = -2665", "Add 2977 to both sides: 12x = 312", "Divide both sides by 12: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x - 2977 = x - 2665", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2977, \"d\": -2665, \"x\": 26}", "seed": "7488384280178303564", "semantic_fingerprint": "sha256:eb50ca98748c29e3066618be9c8b4769d1df4f10795ce110eb4a4f7bddf4e9e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001911", "prompt": "Calculate: -1500 / (-5850 + (-81293))", "solution_steps": ["Add: -5850 + (-81293) = -87143", "Divide: -1500 / (-87143) = 1500/87143"], "final_answer": "1500/87143", "answer_type": "rational", "kind": "expression", "math_text": "-1500 / (-5850 + (-81293))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1500, \"b\": -5850, \"c\": -81293}", "seed": "9617858265122760016", "semantic_fingerprint": "sha256:f41870dcede54b0e276fb4df0a967b9ca829b760f08c276b1e760dc90dbdcc00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001912", "prompt": "Compute: (95478 - 7260) / 5563", "solution_steps": ["Subtract: 95478 - 7260 = 88218", "Divide: 88218 / 5563 = 88218/5563"], "final_answer": "88218/5563", "answer_type": "rational", "kind": "expression", "math_text": "(95478 - 7260) / 5563", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95478, \"b\": 7260, \"c\": 5563}", "seed": "83145017742441693", "semantic_fingerprint": "sha256:3ffbb00af99166397e04ac659e8dfe22a89c5175cd7d0cebcef065c4f85f66db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001913", "prompt": "What is -1718 + 78623 - (-76563) - (-9614)?", "solution_steps": ["Add: -1718 + 78623 = 76905", "Subtract: 76905 - (-76563) = 153468", "Subtract: 153468 - (-9614) = 163082"], "final_answer": "163082", "answer_type": "integer", "kind": "expression", "math_text": "-1718 + 78623 - (-76563) - (-9614)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1718, \"b\": 78623, \"c\": -76563, \"d\": -9614}", "seed": "12743617945819881910", "semantic_fingerprint": "sha256:012d109b34b254262198359f09e0ec21a7d06f284c1a1b373026f42da736de4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001914", "prompt": "Calculate: -5098 - 7217", "solution_steps": ["Subtract: -5098 - 7217 = -12315"], "final_answer": "-12315", "answer_type": "integer", "kind": "expression", "math_text": "-5098 - 7217", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5098, \"b\": 7217}", "seed": "9909594974643640355", "semantic_fingerprint": "sha256:9ac23cbf96714c1dc95064c367e1a796a4003ef0594c1eab62c356d54dc7d4c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001915", "prompt": "Evaluate: 64849 + (-88893 - 6851)", "solution_steps": ["Subtract: -88893 - 6851 = -95744", "Add: 64849 + (-95744) = -30895"], "final_answer": "-30895", "answer_type": "integer", "kind": "expression", "math_text": "64849 + (-88893 - 6851)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64849, \"b\": -88893, \"c\": 6851}", "seed": "10465187320984996261", "semantic_fingerprint": "sha256:7a5b8a8df812f557e9358e94127e193571444547aecc204002b89603d62a43c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001916", "prompt": "Find x: 15(x - 3817) = x", "solution_steps": ["Expand: 15x - 57255 = x", "Subtract x from both sides: 14x - 57255 = 0", "Add 57255 to both sides: 14x = 57255", "Divide both sides by 14: x = 57255/14"], "final_answer": "57255/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 3817) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3817}", "seed": "14936434470735058172", "semantic_fingerprint": "sha256:64d5d1bbcb18b4e6a6c9a0fbc647ed7cbcaad1a6ea9b620e43dd0d429d80e506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001917", "prompt": "What value of x satisfies 18(x + 1904) + 49180 = 32x + 82640?", "solution_steps": ["Expand: 18x + 34272 + 49180 = 32x + 82640", "Combine constants: 18x + 83452 = 32x + 82640", "Subtract 32x from both sides: -14x + 83452 = 82640", "Subtract 83452 from both sides: -14x = -812", "Divide both sides by -14: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 1904) + 49180 = 32x + 82640", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 1904, \"c\": 49180, \"d\": 32, \"f\": 82640, \"x\": 58}", "seed": "5680787020857287596", "semantic_fingerprint": "sha256:b19b06d46c792cf22eaf39a236db863a509e7a5212788423ec885a3c1971360d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001918", "prompt": "Solve the equation 21x = 23(x - 5052) for x.", "solution_steps": ["Expand: 21x = 23x - 116196", "Subtract 23x from both sides: -2x = -116196", "Divide both sides by -2: x = 58098"], "final_answer": "58098", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 23(x - 5052)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 23, \"c\": 5052}", "seed": "14186855616510056653", "semantic_fingerprint": "sha256:6aec7e717f9d83c64a82deb370acce80cf9edc3d5e5ba3d41e0e88d120dae086", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001919", "prompt": "Evaluate: (14226 + (-90720)) * (-5724 / (-4216))", "solution_steps": ["Add: 14226 + (-90720) = -76494", "Divide: -5724 / (-4216) = 1431/1054", "Multiply: -76494 * (1431/1054) = -54731457/527"], "final_answer": "-54731457/527", "answer_type": "rational", "kind": "expression", "math_text": "(14226 + (-90720)) * (-5724 / (-4216))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14226, \"b\": -90720, \"c\": -5724, \"d\": -4216}", "seed": "6092522744021135402", "semantic_fingerprint": "sha256:3823a7d0aaadc29a4aaac9d301d5ddbc648ddb7affe0998f87174262c3ffb8fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001920", "prompt": "Compute: -89975 / (-21353 / (-8213)) / (-4720)", "solution_steps": ["Divide: -21353 / (-8213) = 21353/8213", "Divide: -89975 / (21353/8213) = -738964675/21353", "Divide: (-738964675/21353) / (-4720) = 2504965/341648"], "final_answer": "2504965/341648", "answer_type": "rational", "kind": "expression", "math_text": "-89975 / (-21353 / (-8213)) / (-4720)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -89975, \"b\": -21353, \"c\": -8213, \"d\": -4720}", "seed": "7078581651702876088", "semantic_fingerprint": "sha256:84efda51963df1ccaef2b4e146710bde5eb80b71ede902917e748c63538bf698", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001921", "prompt": "Evaluate: 11364 / (8879 + (-1544)) + 18905", "solution_steps": ["Add: 8879 + (-1544) = 7335", "Divide: 11364 / 7335 = 3788/2445", "Add: 3788/2445 + 18905 = 46226513/2445"], "final_answer": "46226513/2445", "answer_type": "rational", "kind": "expression", "math_text": "11364 / (8879 + (-1544)) + 18905", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 11364, \"b\": 8879, \"c\": -1544, \"d\": 18905}", "seed": "12354837267766318363", "semantic_fingerprint": "sha256:7ceb68dc43277f801b8b183b65589ae66a98af31deb28f9050d99e65122ad08c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001922", "prompt": "Calculate: 40190 - 8481", "solution_steps": ["Subtract: 40190 - 8481 = 31709"], "final_answer": "31709", "answer_type": "integer", "kind": "expression", "math_text": "40190 - 8481", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 40190, \"b\": 8481}", "seed": "16721660608123694917", "semantic_fingerprint": "sha256:bff173c8df57d7276e601f617dd514410b05919eb3b068f0929bdf60446b54cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001923", "prompt": "Compute: 53548 / (-15200) + (-5463 + (-15945))", "solution_steps": ["Divide: 53548 / (-15200) = -13387/3800", "Add: -5463 + (-15945) = -21408", "Add: -13387/3800 + (-21408) = -81363787/3800"], "final_answer": "-81363787/3800", "answer_type": "rational", "kind": "expression", "math_text": "53548 / (-15200) + (-5463 + (-15945))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 53548, \"b\": -15200, \"c\": -5463, \"d\": -15945}", "seed": "16656831168949392870", "semantic_fingerprint": "sha256:fa805507b6a147a6661f2264caeac7ed00cd3cdb9cf6f4458d446a13d6de8e7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001924", "prompt": "Solve for x: 22(x + 21951) = -40(x + 57869)", "solution_steps": ["Expand: 22x + 482922 = -40(x + 57869)", "Expand: 22x + 482922 = -40x - 2314760", "Add 40x to both sides: 62x + 482922 = -2314760", "Subtract 482922 from both sides: 62x = -2797682", "Divide both sides by 62: x = -1398841/31"], "final_answer": "-1398841/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 21951) = -40(x + 57869)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 21951, \"c\": -40, \"d\": 57869}", "seed": "16077744270561815892", "semantic_fingerprint": "sha256:f58568eec2ff86b78ad327085d79035b6cb0f5bc2cd6b3b53ca01a3eb1de1035", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001925", "prompt": "Solve for x: -21(x - 9368) + 5501 = 33(x - 47554) + 7652", "solution_steps": ["Expand: -21x + 196728 + 5501 = 33(x - 47554) + 7652", "Expand: -21x + 196728 + 5501 = 33x - 1569282 + 7652", "Combine constants: -21x + 202229 = 33x - 1569282 + 7652", "Combine constants: -21x + 202229 = 33x - 1561630", "Subtract 33x from both sides: -54x + 202229 = -1561630", "Subtract 202229 from both sides: -54x = -1763859", "Divide both sides by -54: x = 587953/18"], "final_answer": "587953/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 9368) + 5501 = 33(x - 47554) + 7652", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 9368, \"c\": 5501, \"d\": 33, \"e\": 47554, \"f\": 7652}", "seed": "8171559365794747112", "semantic_fingerprint": "sha256:30587363915a6cee084c5009b21bb5259e9396b87492d4b3afe273129a3ab209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001926", "prompt": "Evaluate: (9893 + 4270) * 10674", "solution_steps": ["Add: 9893 + 4270 = 14163", "Multiply: 14163 * 10674 = 151175862"], "final_answer": "151175862", "answer_type": "integer", "kind": "expression", "math_text": "(9893 + 4270) * 10674", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9893, \"b\": 4270, \"c\": 10674}", "seed": "14341703306672261400", "semantic_fingerprint": "sha256:4a1e4e64568b3309d956678b2805e1be031044e2cba8320d036463b5d6703f62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001927", "prompt": "Evaluate: -41227 + 1607", "solution_steps": ["Add: -41227 + 1607 = -39620"], "final_answer": "-39620", "answer_type": "integer", "kind": "expression", "math_text": "-41227 + 1607", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -41227, \"b\": 1607}", "seed": "3534079765572375591", "semantic_fingerprint": "sha256:d4cf28b4ed9aa3e1b110145208060078afa337221a8677eb43dd6294537be0aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001928", "prompt": "What value of x satisfies -35x - 4793 = 15(x + 2686) - 39433?", "solution_steps": ["Expand: -35x - 4793 = 15x + 40290 - 39433", "Combine constants: -35x - 4793 = 15x + 857", "Subtract 15x from both sides: -50x - 4793 = 857", "Add 4793 to both sides: -50x = 5650", "Divide both sides by -50: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x - 4793 = 15(x + 2686) - 39433", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 4793, \"c\": 15, \"d\": 2686, \"f\": -39433, \"x\": -113}", "seed": "5349848299957843050", "semantic_fingerprint": "sha256:cf28fb5f072b2e2abc55433b486d3bddbe40076332d2bb7e9f7e9d51efacc14e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001929", "prompt": "Find x: x - 8848 = -8888", "solution_steps": ["Add 8848 to both sides: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8848 = -8888", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8848, \"c\": -8888, \"x\": -40}", "seed": "15699688743320062894", "semantic_fingerprint": "sha256:01fed5c3c170c23af0a3d13f4d02ff097ddccdea17987971555d8684cdccd209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001930", "prompt": "Calculate: -85314 + 1673 - (-9571)", "solution_steps": ["Add: -85314 + 1673 = -83641", "Subtract: -83641 - (-9571) = -74070"], "final_answer": "-74070", "answer_type": "integer", "kind": "expression", "math_text": "-85314 + 1673 - (-9571)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -85314, \"b\": 1673, \"c\": -9571}", "seed": "10006287291814466542", "semantic_fingerprint": "sha256:227741d42191a67c308acadf48659252d9136e599e5ea88e2d85025fd449ea47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001931", "prompt": "What is 96461 + 1266 - (-56615)?", "solution_steps": ["Add: 96461 + 1266 = 97727", "Subtract: 97727 - (-56615) = 154342"], "final_answer": "154342", "answer_type": "integer", "kind": "expression", "math_text": "96461 + 1266 - (-56615)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96461, \"b\": 1266, \"c\": -56615}", "seed": "7118914332501509611", "semantic_fingerprint": "sha256:91cdb836556596801f9f51dcbf6a4701fb130ebdb28fd0573689d9e2c2bd6028", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001932", "prompt": "Solve for x: -34x - 5041 = x - 6861", "solution_steps": ["Subtract x from both sides: -35x - 5041 = -6861", "Add 5041 to both sides: -35x = -1820", "Divide both sides by -35: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x - 5041 = x - 6861", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 5041, \"d\": -6861, \"x\": 52}", "seed": "13079927468495024685", "semantic_fingerprint": "sha256:d74fb51c0bea9b3e26e6765b1002f17aba06fed54f119d45b061177d8aaa24c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001933", "prompt": "Evaluate: -4459 + (-8783) * (-1684 / (-20646))", "solution_steps": ["Divide: -1684 / (-20646) = 842/10323", "Multiply: -8783 * (842/10323) = -7395286/10323", "Add: -4459 + (-7395286/10323) = -53425543/10323"], "final_answer": "-53425543/10323", "answer_type": "rational", "kind": "expression", "math_text": "-4459 + (-8783) * (-1684 / (-20646))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4459, \"b\": -8783, \"c\": -1684, \"d\": -20646}", "seed": "1094989411560482563", "semantic_fingerprint": "sha256:e09ed30324b1bf1979985bf876aa4e0e5a99084d4941acccb3f1ffca198c205e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001934", "prompt": "Compute: -6457 - 57530 - (79352 + 5984)", "solution_steps": ["Subtract: -6457 - 57530 = -63987", "Add: 79352 + 5984 = 85336", "Subtract: -63987 - 85336 = -149323"], "final_answer": "-149323", "answer_type": "integer", "kind": "expression", "math_text": "-6457 - 57530 - (79352 + 5984)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6457, \"b\": 57530, \"c\": 79352, \"d\": 5984}", "seed": "17811156096707143107", "semantic_fingerprint": "sha256:54d768d6acd3913ef152ac2aa1509ec447965303443500c2d60835fdf95b97cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001935", "prompt": "What is 2874 * 13911 + (-7741) - (-1297)?", "solution_steps": ["Multiply: 2874 * 13911 = 39980214", "Add: 39980214 + (-7741) = 39972473", "Subtract: 39972473 - (-1297) = 39973770"], "final_answer": "39973770", "answer_type": "integer", "kind": "expression", "math_text": "2874 * 13911 + (-7741) - (-1297)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2874, \"b\": 13911, \"c\": -7741, \"d\": -1297}", "seed": "13880001549457555643", "semantic_fingerprint": "sha256:5dc4b45f3d6fe7c881684acf6e498f2a278d557405a7e000ae143fd96ea0241e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001936", "prompt": "Calculate: -74633 - 1911", "solution_steps": ["Subtract: -74633 - 1911 = -76544"], "final_answer": "-76544", "answer_type": "integer", "kind": "expression", "math_text": "-74633 - 1911", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -74633, \"b\": 1911}", "seed": "4668284429460164934", "semantic_fingerprint": "sha256:2b440099eb01643e5c2a3024873d37bbb3b47f612652bbabb2654513543dec9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001937", "prompt": "Find x: x = -17(x + 2582)", "solution_steps": ["Expand: x = -17x - 43894", "Add 17x to both sides: 18x = -43894", "Divide both sides by 18: x = -21947/9"], "final_answer": "-21947/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -17(x + 2582)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 2582}", "seed": "17721727285854331297", "semantic_fingerprint": "sha256:12e2ecccd48779cdb00603317e29ac2c4c6bb3bfe2dcdfe3e35262e397911516", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001938", "prompt": "What is 25734 / 65387 - 8423?", "solution_steps": ["Divide: 25734 / 65387 = 25734/65387", "Subtract: 25734/65387 - 8423 = -550728967/65387"], "final_answer": "-550728967/65387", "answer_type": "rational", "kind": "expression", "math_text": "25734 / 65387 - 8423", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25734, \"b\": 65387, \"c\": 8423}", "seed": "9175091292340413791", "semantic_fingerprint": "sha256:1461b99821386f241afc599144221f2b92b4668acf346d7d0e5b99fa5b22919c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001939", "prompt": "Solve the equation x + 1403 = 24x for x.", "solution_steps": ["Subtract 24x from both sides: -23x + 1403 = 0", "Subtract 1403 from both sides: -23x = -1403", "Divide both sides by -23: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1403 = 24x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": 1403, \"x\": 61}", "seed": "5854277920333389065", "semantic_fingerprint": "sha256:1ba94e23aa4184a132e7e02c1bedc9164efeba3dc50676429db2ebb108ae076a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001940", "prompt": "What is 6098 - (-56058 + (-8728))?", "solution_steps": ["Add: -56058 + (-8728) = -64786", "Subtract: 6098 - (-64786) = 70884"], "final_answer": "70884", "answer_type": "integer", "kind": "expression", "math_text": "6098 - (-56058 + (-8728))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6098, \"b\": -56058, \"c\": -8728}", "seed": "5986862000521207924", "semantic_fingerprint": "sha256:74df57e7e0f913acb58a2bd09fe5a28ab773ae7da81040a25bd8be640444d64c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001941", "prompt": "Evaluate: -75023 + 28539 * (-6990)", "solution_steps": ["Multiply: 28539 * (-6990) = -199487610", "Add: -75023 + (-199487610) = -199562633"], "final_answer": "-199562633", "answer_type": "integer", "kind": "expression", "math_text": "-75023 + 28539 * (-6990)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75023, \"b\": 28539, \"c\": -6990}", "seed": "5627933636769889213", "semantic_fingerprint": "sha256:aa754d6b46db1669f9fead501972d5907e75b484728e554d2266d6c401c651cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001942", "prompt": "Find x: 13x - 9642 = x - 8910", "solution_steps": ["Subtract x from both sides: 12x - 9642 = -8910", "Add 9642 to both sides: 12x = 732", "Divide both sides by 12: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x - 9642 = x - 8910", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 9642, \"d\": -8910, \"x\": 61}", "seed": "1347243529121392322", "semantic_fingerprint": "sha256:bfce75b156a003e8a7f719d012c3a6b42e9b7a4503cc129c27f8ed8a41604e60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001943", "prompt": "Calculate: 59628 + 30097 * (-6729)", "solution_steps": ["Multiply: 30097 * (-6729) = -202522713", "Add: 59628 + (-202522713) = -202463085"], "final_answer": "-202463085", "answer_type": "integer", "kind": "expression", "math_text": "59628 + 30097 * (-6729)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59628, \"b\": 30097, \"c\": -6729}", "seed": "6900854673387798015", "semantic_fingerprint": "sha256:63651674f88add696e67de3823337ed5a806df32c5fe7773986a261e045f2565", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001944", "prompt": "Compute: -2283 * 9070 - (-30253)", "solution_steps": ["Multiply: -2283 * 9070 = -20706810", "Subtract: -20706810 - (-30253) = -20676557"], "final_answer": "-20676557", "answer_type": "integer", "kind": "expression", "math_text": "-2283 * 9070 - (-30253)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2283, \"b\": 9070, \"c\": -30253}", "seed": "12730892659495249711", "semantic_fingerprint": "sha256:871898a8148d9301a3a8606cfcf242c5126ac5a068cbe02e2ef9f73611909f1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001945", "prompt": "Calculate: -4019 * (6738 + 93357)", "solution_steps": ["Add: 6738 + 93357 = 100095", "Multiply: -4019 * 100095 = -402281805"], "final_answer": "-402281805", "answer_type": "integer", "kind": "expression", "math_text": "-4019 * (6738 + 93357)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4019, \"b\": 6738, \"c\": 93357}", "seed": "10894354297883715923", "semantic_fingerprint": "sha256:12c4fd0ea249c65801dd6ae2369847af73acb2a955261d79e86ec49e2805de87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001946", "prompt": "Calculate: 7501 / 8338", "solution_steps": ["Divide: 7501 / 8338 = 7501/8338"], "final_answer": "7501/8338", "answer_type": "rational", "kind": "expression", "math_text": "7501 / 8338", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7501, \"b\": 8338}", "seed": "10697824448984527963", "semantic_fingerprint": "sha256:1dbca520ace9273cffaa7c762b933b0c287c7965c134eace4fda92d2040ddabf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001947", "prompt": "Calculate: -82708 + 8803", "solution_steps": ["Add: -82708 + 8803 = -73905"], "final_answer": "-73905", "answer_type": "integer", "kind": "expression", "math_text": "-82708 + 8803", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -82708, \"b\": 8803}", "seed": "7496112208887895207", "semantic_fingerprint": "sha256:96de11013c4be2433a76fe26cabd16188af16f1590c1cad4f8b1e5e1bc8ecc88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001948", "prompt": "Calculate: (-22075 + 9195) / 11644 / (-5431 - 3631)", "solution_steps": ["Add: -22075 + 9195 = -12880", "Divide: -12880 / 11644 = -3220/2911", "Subtract: -5431 - 3631 = -9062", "Divide: (-3220/2911) / (-9062) = 70/573467"], "final_answer": "70/573467", "answer_type": "rational", "kind": "expression", "math_text": "(-22075 + 9195) / 11644 / (-5431 - 3631)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22075, \"b\": 9195, \"c\": 11644, \"d\": -5431, \"e\": 3631}", "seed": "42508051701561361", "semantic_fingerprint": "sha256:4e972ebb58e2adddbbfefab6d77ace6201ce26777d482192cd9fb2fb2b5d3c1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001949", "prompt": "Find x: 34(x - 89909) = 40x + 6567", "solution_steps": ["Expand: 34x - 3056906 = 40x + 6567", "Subtract 40x from both sides: -6x - 3056906 = 6567", "Add 3056906 to both sides: -6x = 3063473", "Divide both sides by -6: x = -3063473/6"], "final_answer": "-3063473/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 89909) = 40x + 6567", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 89909, \"c\": 40, \"d\": 6567}", "seed": "7840009495790754857", "semantic_fingerprint": "sha256:bbe8d465c8f6456809d257b2582ad44b612adb175acaf47622ea63f6c7adbd86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001950", "prompt": "Solve the equation 40x + 2535 = x for x.", "solution_steps": ["Subtract x from both sides: 39x + 2535 = 0", "Subtract 2535 from both sides: 39x = -2535", "Divide both sides by 39: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 2535 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": 2535, \"x\": -65}", "seed": "15300103010578245921", "semantic_fingerprint": "sha256:65c4a1b7b9ab150e1932ceddfb39d9d75a70ed41b1166c10caa2946bcc2ca5f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001951", "prompt": "Calculate: -7861 + (-4516 + 9182)", "solution_steps": ["Add: -4516 + 9182 = 4666", "Add: -7861 + 4666 = -3195"], "final_answer": "-3195", "answer_type": "integer", "kind": "expression", "math_text": "-7861 + (-4516 + 9182)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7861, \"b\": -4516, \"c\": 9182}", "seed": "3066994379123542639", "semantic_fingerprint": "sha256:1c551055a84d8436dd21c1f7b5a16467c3f3cbba58ee0eb1819602c6d186fad6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001952", "prompt": "Compute: -81366 + 41498 + 2361", "solution_steps": ["Add: -81366 + 41498 = -39868", "Add: -39868 + 2361 = -37507"], "final_answer": "-37507", "answer_type": "integer", "kind": "expression", "math_text": "-81366 + 41498 + 2361", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81366, \"b\": 41498, \"c\": 2361}", "seed": "13595315529268500693", "semantic_fingerprint": "sha256:f43411e7cd836cfe8d9f56526ad16ed83b91f507fdb5dd549fdf8cd20072d8c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001953", "prompt": "Evaluate: 48016 / 3809 + 8166", "solution_steps": ["Divide: 48016 / 3809 = 48016/3809", "Add: 48016/3809 + 8166 = 31152310/3809"], "final_answer": "31152310/3809", "answer_type": "rational", "kind": "expression", "math_text": "48016 / 3809 + 8166", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48016, \"b\": 3809, \"c\": 8166}", "seed": "4041655666494262028", "semantic_fingerprint": "sha256:a0a3c9b25dd248fe86b3219a7d400ce6c7a716277eed344cb973ef6defb6983f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001954", "prompt": "Calculate: (-7129 - 4481) / (-6742 / (-90810))", "solution_steps": ["Subtract: -7129 - 4481 = -11610", "Divide: -6742 / (-90810) = 3371/45405", "Divide: -11610 / (3371/45405) = -527152050/3371"], "final_answer": "-527152050/3371", "answer_type": "rational", "kind": "expression", "math_text": "(-7129 - 4481) / (-6742 / (-90810))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7129, \"b\": 4481, \"c\": -6742, \"d\": -90810}", "seed": "13475184235947888127", "semantic_fingerprint": "sha256:9f1e94d3a9d74195b36b8d027ec9c9f8b42f45490076399fed10704f712875ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001955", "prompt": "Compute: ((-83586 - (-4550)) * 7500 + (-7982)) / (5629 + 50234)", "solution_steps": ["Subtract: -83586 - (-4550) = -79036", "Multiply: -79036 * 7500 = -592770000", "Add: -592770000 + (-7982) = -592777982", "Add: 5629 + 50234 = 55863", "Divide: -592777982 / 55863 = -592777982/55863"], "final_answer": "-592777982/55863", "answer_type": "rational", "kind": "expression", "math_text": "((-83586 - (-4550)) * 7500 + (-7982)) / (5629 + 50234)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -83586, \"b\": -4550, \"c\": 7500, \"d\": -7982, \"e\": 5629, \"f\": 50234}", "seed": "3125867577031318993", "semantic_fingerprint": "sha256:aa156c345f28dba60a53e0ffa03f71759ee3e99ffb73c0ae948e337d05f7c9fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001956", "prompt": "What is -7912 + 7424 + (-2928)?", "solution_steps": ["Add: -7912 + 7424 = -488", "Add: -488 + (-2928) = -3416"], "final_answer": "-3416", "answer_type": "integer", "kind": "expression", "math_text": "-7912 + 7424 + (-2928)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7912, \"b\": 7424, \"c\": -2928}", "seed": "13136805638153019171", "semantic_fingerprint": "sha256:533d53eacd258c049635b28b984bd206ecd0af3bc72dcfad515167a3d2fa655b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001957", "prompt": "Calculate: 4410 - 2178", "solution_steps": ["Subtract: 4410 - 2178 = 2232"], "final_answer": "2232", "answer_type": "integer", "kind": "expression", "math_text": "4410 - 2178", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4410, \"b\": 2178}", "seed": "13648642799977407296", "semantic_fingerprint": "sha256:db85efc6132c279fb089f7487999f54ec58ef54b85b7c879e5f69fb4a739e0b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001958", "prompt": "Evaluate: 77480 / (-7380)", "solution_steps": ["Divide: 77480 / (-7380) = -3874/369"], "final_answer": "-3874/369", "answer_type": "rational", "kind": "expression", "math_text": "77480 / (-7380)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77480, \"b\": -7380}", "seed": "5446525437081232264", "semantic_fingerprint": "sha256:bf2c48700f05eb4457f00c244390c802973495ea3899e3870b7bdb8fcb61583e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001959", "prompt": "What value of x satisfies -32x + 64280 = 40(x + 1544)?", "solution_steps": ["Expand: -32x + 64280 = 40x + 61760", "Subtract 40x from both sides: -72x + 64280 = 61760", "Subtract 64280 from both sides: -72x = -2520", "Divide both sides by -72: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x + 64280 = 40(x + 1544)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 40, \"c\": 1544, \"e\": 64280, \"x\": 35}", "seed": "10781256354771241875", "semantic_fingerprint": "sha256:3c31fdb74907ac8a0eb77060156d9ac456d4a44baba169e1c01dc80e761a770e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001960", "prompt": "What is -3201 * (-47432) / 86320?", "solution_steps": ["Multiply: -3201 * (-47432) = 151829832", "Divide: 151829832 / 86320 = 18978729/10790"], "final_answer": "18978729/10790", "answer_type": "rational", "kind": "expression", "math_text": "-3201 * (-47432) / 86320", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3201, \"b\": -47432, \"c\": 86320}", "seed": "7070365439261436060", "semantic_fingerprint": "sha256:3453c84fff5cb2c8d7ba7956eb22d281de7b6b73cfc0ced916ccd6378515dbab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001961", "prompt": "Solve the equation -31(x - 8614) = 13x for x.", "solution_steps": ["Expand: -31x + 267034 = 13x", "Subtract 13x from both sides: -44x + 267034 = 0", "Subtract 267034 from both sides: -44x = -267034", "Divide both sides by -44: x = 133517/22"], "final_answer": "133517/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 8614) = 13x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8614, \"c\": 13}", "seed": "4744144651492997534", "semantic_fingerprint": "sha256:cd22491219404d0b833e2d02d483778c3e5fe2227489d05a9c9856df1c241578", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001962", "prompt": "What is -7068 * (-8437 / (-3822 + 9116) - (-9201 - 8843))?", "solution_steps": ["Add: -3822 + 9116 = 5294", "Divide: -8437 / 5294 = -8437/5294", "Subtract: -9201 - 8843 = -18044", "Subtract: -8437/5294 - (-18044) = 95516499/5294", "Multiply: -7068 * (95516499/5294) = -337555307466/2647"], "final_answer": "-337555307466/2647", "answer_type": "rational", "kind": "expression", "math_text": "-7068 * (-8437 / (-3822 + 9116) - (-9201 - 8843))", "variable": null, "family": "expression_5op", "shape": "(* n (- (/ n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7068, \"b\": -8437, \"c\": -3822, \"d\": 9116, \"e\": -9201, \"f\": 8843}", "seed": "9000007122773770037", "semantic_fingerprint": "sha256:d64e3d36499a8ee6a3debcee90d648d97bd39bbcae73b7da8e671cfd4e120754", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001963", "prompt": "Compute: 78599 + (-29915 + (-3671)) + (-4423)", "solution_steps": ["Add: -29915 + (-3671) = -33586", "Add: 78599 + (-33586) = 45013", "Add: 45013 + (-4423) = 40590"], "final_answer": "40590", "answer_type": "integer", "kind": "expression", "math_text": "78599 + (-29915 + (-3671)) + (-4423)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78599, \"b\": -29915, \"c\": -3671, \"d\": -4423}", "seed": "10046449030684625620", "semantic_fingerprint": "sha256:27dac8335a65e05f7c955d60d557377e5d7cfeebf8e60ee19999ffe537a945e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001964", "prompt": "What value of x satisfies x = -14(x - 17513) - 66818?", "solution_steps": ["Expand: x = -14x + 245182 - 66818", "Combine constants: x = -14x + 178364", "Add 14x to both sides: 15x = 178364", "Divide both sides by 15: x = 178364/15"], "final_answer": "178364/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -14(x - 17513) - 66818", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 17513, \"c\": 66818}", "seed": "2392394946384829427", "semantic_fingerprint": "sha256:8808ff939cc4d4e8b3844225a49ce9a4420a39d38b8fc7ec69938313a8a465e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001965", "prompt": "What is -65047 + 2603 - 3597 / (1175 + 8282 - (-4408))?", "solution_steps": ["Add: -65047 + 2603 = -62444", "Add: 1175 + 8282 = 9457", "Subtract: 9457 - (-4408) = 13865", "Divide: 3597 / 13865 = 3597/13865", "Subtract: -62444 - 3597/13865 = -865789657/13865"], "final_answer": "-865789657/13865", "answer_type": "rational", "kind": "expression", "math_text": "-65047 + 2603 - 3597 / (1175 + 8282 - (-4408))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ n (- (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -65047, \"b\": 2603, \"c\": 3597, \"d\": 1175, \"e\": 8282, \"f\": -4408}", "seed": "2240715609013474291", "semantic_fingerprint": "sha256:bfcf794c84441e4eaa85c522985b8931edb625fcfde27ee7aa430f8da9ecd0a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001966", "prompt": "What is -2395 - 7402 * (-13445)?", "solution_steps": ["Multiply: 7402 * (-13445) = -99519890", "Subtract: -2395 - (-99519890) = 99517495"], "final_answer": "99517495", "answer_type": "integer", "kind": "expression", "math_text": "-2395 - 7402 * (-13445)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2395, \"b\": 7402, \"c\": -13445}", "seed": "2275184405862695589", "semantic_fingerprint": "sha256:672240017c67b71541dc1143c4c615137c6152749df2e981f6fabfc61676f536", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001967", "prompt": "Find x: 17(x - 83643) + 5931 = 13(x + 27519) + 8330", "solution_steps": ["Expand: 17x - 1421931 + 5931 = 13(x + 27519) + 8330", "Expand: 17x - 1421931 + 5931 = 13x + 357747 + 8330", "Combine constants: 17x - 1416000 = 13x + 357747 + 8330", "Combine constants: 17x - 1416000 = 13x + 366077", "Subtract 13x from both sides: 4x - 1416000 = 366077", "Add 1416000 to both sides: 4x = 1782077", "Divide both sides by 4: x = 1782077/4"], "final_answer": "1782077/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 83643) + 5931 = 13(x + 27519) + 8330", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 83643, \"c\": 5931, \"d\": 13, \"e\": 27519, \"f\": 8330}", "seed": "5704467157377419902", "semantic_fingerprint": "sha256:6c2149c9f118d25ccb46fefc5f8de45a7fea31f4ef190270dc9a7f3ba3cd6d8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001968", "prompt": "What is -18958 / (-4285)?", "solution_steps": ["Divide: -18958 / (-4285) = 18958/4285"], "final_answer": "18958/4285", "answer_type": "rational", "kind": "expression", "math_text": "-18958 / (-4285)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18958, \"b\": -4285}", "seed": "500936425456454872", "semantic_fingerprint": "sha256:6d53c6e29d80a8b052b099e490887c009c8b6da0019b2776a12cd8e0c5fc2de6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001969", "prompt": "Evaluate: (-8679 - 20094) * 45098 - 3207", "solution_steps": ["Subtract: -8679 - 20094 = -28773", "Multiply: -28773 * 45098 = -1297604754", "Subtract: -1297604754 - 3207 = -1297607961"], "final_answer": "-1297607961", "answer_type": "integer", "kind": "expression", "math_text": "(-8679 - 20094) * 45098 - 3207", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8679, \"b\": 20094, \"c\": 45098, \"d\": 3207}", "seed": "4592597312441438413", "semantic_fingerprint": "sha256:d439aa6949e22f0c5e30b095f7cdf16b207611bc55b8a25c1867cf97dc5f6add", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001970", "prompt": "Find x: -32(x - 1667) + 4718 = 35(x - 3952) + 3548", "solution_steps": ["Expand: -32x + 53344 + 4718 = 35(x - 3952) + 3548", "Expand: -32x + 53344 + 4718 = 35x - 138320 + 3548", "Combine constants: -32x + 58062 = 35x - 138320 + 3548", "Combine constants: -32x + 58062 = 35x - 134772", "Subtract 35x from both sides: -67x + 58062 = -134772", "Subtract 58062 from both sides: -67x = -192834", "Divide both sides by -67: x = 192834/67"], "final_answer": "192834/67", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 1667) + 4718 = 35(x - 3952) + 3548", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 1667, \"c\": 4718, \"d\": 35, \"e\": 3952, \"f\": 3548}", "seed": "4012758594344478630", "semantic_fingerprint": "sha256:f0c84fe6b7b0479d09562e41619cd47edf561fdfee408d86bf61a9ccc8631563", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001971", "prompt": "Compute: -4754 - 2093 + 5029", "solution_steps": ["Subtract: -4754 - 2093 = -6847", "Add: -6847 + 5029 = -1818"], "final_answer": "-1818", "answer_type": "integer", "kind": "expression", "math_text": "-4754 - 2093 + 5029", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4754, \"b\": 2093, \"c\": 5029}", "seed": "2236577467053350362", "semantic_fingerprint": "sha256:1bb5ac2078f2fa5aa0dd664971fae302cf3920ff9f69261a12bb2bfec3757b04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001972", "prompt": "What value of x satisfies 20x - 6384 = -18x?", "solution_steps": ["Add 18x to both sides: 38x - 6384 = 0", "Add 6384 to both sides: 38x = 6384", "Divide both sides by 38: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x - 6384 = -18x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": -18, \"d\": -6384, \"x\": 168}", "seed": "15718221691511549842", "semantic_fingerprint": "sha256:b948c78084e297246815d42558d1207e14d424ed8364ee6f2712044540934da4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001973", "prompt": "What is 6204 / (-4080)?", "solution_steps": ["Divide: 6204 / (-4080) = -517/340"], "final_answer": "-517/340", "answer_type": "rational", "kind": "expression", "math_text": "6204 / (-4080)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6204, \"b\": -4080}", "seed": "12319899663034550256", "semantic_fingerprint": "sha256:bb6ca7946b8acb93a41dee16068ae52194d2db17dffb5eb73fda309b4bd73ac5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001974", "prompt": "Solve for x: 32(x + 47571) = x", "solution_steps": ["Expand: 32x + 1522272 = x", "Subtract x from both sides: 31x + 1522272 = 0", "Subtract 1522272 from both sides: 31x = -1522272", "Divide both sides by 31: x = -1522272/31"], "final_answer": "-1522272/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 47571) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 47571}", "seed": "6059041170944044592", "semantic_fingerprint": "sha256:cb4b314e18057e338e7034fc7866582b96acae9a52b0ba98c2206139a6a512aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001975", "prompt": "What is 36618 / 6506 * 75273?", "solution_steps": ["Divide: 36618 / 6506 = 18309/3253", "Multiply: (18309/3253) * 75273 = 1378173357/3253"], "final_answer": "1378173357/3253", "answer_type": "rational", "kind": "expression", "math_text": "36618 / 6506 * 75273", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36618, \"b\": 6506, \"c\": 75273}", "seed": "16207891708639764186", "semantic_fingerprint": "sha256:8bf3d0253b0d570af0b679e0f0df613398154ae6772444b577ad8e74d0f4f9fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001976", "prompt": "Compute: -64722 + 3898", "solution_steps": ["Add: -64722 + 3898 = -60824"], "final_answer": "-60824", "answer_type": "integer", "kind": "expression", "math_text": "-64722 + 3898", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -64722, \"b\": 3898}", "seed": "6666287617018960926", "semantic_fingerprint": "sha256:101fcbcffcc9874bf7c7fe6c868cc5520b178d98a88d19338e57c6e9cb6640da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001977", "prompt": "Evaluate: 5531 + (-4891)", "solution_steps": ["Add: 5531 + (-4891) = 640"], "final_answer": "640", "answer_type": "integer", "kind": "expression", "math_text": "5531 + (-4891)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5531, \"b\": -4891}", "seed": "8658025127455148257", "semantic_fingerprint": "sha256:243ac393ba8922ddf866708e6ad4681877f26622fb5377d8b2e439bad0bf6702", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001978", "prompt": "Compute: -69854 + (-18783) - (-33181)", "solution_steps": ["Add: -69854 + (-18783) = -88637", "Subtract: -88637 - (-33181) = -55456"], "final_answer": "-55456", "answer_type": "integer", "kind": "expression", "math_text": "-69854 + (-18783) - (-33181)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69854, \"b\": -18783, \"c\": -33181}", "seed": "17670309425048690102", "semantic_fingerprint": "sha256:13df7fc0e71f73212e09dd16c77a1c51840754bf3397cc14b71388b9999aac44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001979", "prompt": "What value of x satisfies x + 9550 = -4186?", "solution_steps": ["Subtract 9550 from both sides: x = -13736"], "final_answer": "-13736", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9550 = -4186", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9550, \"b\": -4186}", "seed": "15622904899095689840", "semantic_fingerprint": "sha256:6d9e7238e06b8cf3645744bd0ea77ebaced882858b2039a59e91f33a7fa3d01b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001980", "prompt": "Solve the equation -15(x - 5788) = 88785 for x.", "solution_steps": ["Expand: -15x + 86820 = 88785", "Subtract 86820 from both sides: -15x = 1965", "Divide both sides by -15: x = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x - 5788) = 88785", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 5788, \"d\": 88785, \"x\": -131}", "seed": "11482435592704444385", "semantic_fingerprint": "sha256:2e6ab616bddf10539c90ad36dd0e9eb662b6b75e742e1b5c8d78d3f55507c990", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001981", "prompt": "Evaluate: 2885 - 85820 / 45835 * 7434", "solution_steps": ["Divide: 85820 / 45835 = 17164/9167", "Multiply: (17164/9167) * 7434 = 127597176/9167", "Subtract: 2885 - 127597176/9167 = -101150381/9167"], "final_answer": "-101150381/9167", "answer_type": "rational", "kind": "expression", "math_text": "2885 - 85820 / 45835 * 7434", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2885, \"b\": 85820, \"c\": 45835, \"d\": 7434}", "seed": "2226193530980594435", "semantic_fingerprint": "sha256:622c52983f71fd6be65a871d07b4e4566036465b96740c97e0339dc4fee6400b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001982", "prompt": "Find x: 35(x + 7444) = 26(x + 6293) - 7370", "solution_steps": ["Expand: 35x + 260540 = 26(x + 6293) - 7370", "Expand: 35x + 260540 = 26x + 163618 - 7370", "Combine constants: 35x + 260540 = 26x + 156248", "Subtract 26x from both sides: 9x + 260540 = 156248", "Subtract 260540 from both sides: 9x = -104292", "Divide both sides by 9: x = -11588"], "final_answer": "-11588", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 7444) = 26(x + 6293) - 7370", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7444, \"c\": 26, \"d\": 6293, \"e\": 7370}", "seed": "6901867417429310947", "semantic_fingerprint": "sha256:e5f3e0b3f0964a885d30c8e4b589b91510b8e3ca7f5e2ff3db7fd835808d29c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001983", "prompt": "What is 5809 - 5623?", "solution_steps": ["Subtract: 5809 - 5623 = 186"], "final_answer": "186", "answer_type": "integer", "kind": "expression", "math_text": "5809 - 5623", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5809, \"b\": 5623}", "seed": "10492299017590981942", "semantic_fingerprint": "sha256:876b3ac8ee67693bf6cbefeeba5a25658fd523b50d6bb03222cfd2c3e8ab5e70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001984", "prompt": "Compute: (-46343 + (-4625) - 3909 / 1768) * 32808", "solution_steps": ["Add: -46343 + (-4625) = -50968", "Divide: 3909 / 1768 = 3909/1768", "Subtract: -50968 - 3909/1768 = -90115333/1768", "Multiply: (-90115333/1768) * 32808 = -369562980633/221"], "final_answer": "-369562980633/221", "answer_type": "rational", "kind": "expression", "math_text": "(-46343 + (-4625) - 3909 / 1768) * 32808", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -46343, \"b\": -4625, \"c\": 3909, \"d\": 1768, \"e\": 32808}", "seed": "10576004011593012719", "semantic_fingerprint": "sha256:d8e2492afd7863495a55969b054528d2207c81f5f530382f543fb73f23b4bf84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001985", "prompt": "Calculate: -2891 * (-8378) + 7276", "solution_steps": ["Multiply: -2891 * (-8378) = 24220798", "Add: 24220798 + 7276 = 24228074"], "final_answer": "24228074", "answer_type": "integer", "kind": "expression", "math_text": "-2891 * (-8378) + 7276", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2891, \"b\": -8378, \"c\": 7276}", "seed": "10559300527768617166", "semantic_fingerprint": "sha256:9872d42b5ba11e2af12d4e827277aee1d1854c213ef10e0e73e643da52afb8c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001986", "prompt": "What value of x satisfies x - 6872 = -6979?", "solution_steps": ["Add 6872 to both sides: x = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6872 = -6979", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6872, \"c\": -6979, \"x\": -107}", "seed": "17816160676413114510", "semantic_fingerprint": "sha256:2c064ba42b312c4bd4c6207737e6dfc03310dae25512de0168d8cf1a52f18729", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001987", "prompt": "Compute: -57273 / ((-16707 - (-8484)) / 7175)", "solution_steps": ["Subtract: -16707 - (-8484) = -8223", "Divide: -8223 / 7175 = -8223/7175", "Divide: -57273 / (-8223/7175) = 136977925/2741"], "final_answer": "136977925/2741", "answer_type": "rational", "kind": "expression", "math_text": "-57273 / ((-16707 - (-8484)) / 7175)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -57273, \"b\": -16707, \"c\": -8484, \"d\": 7175}", "seed": "1965132148704354828", "semantic_fingerprint": "sha256:9312097f0ba67bfed8f5c486ce0b21ded6a327c3da090762b713b4652ead522a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001988", "prompt": "Evaluate: -5995 - 76984", "solution_steps": ["Subtract: -5995 - 76984 = -82979"], "final_answer": "-82979", "answer_type": "integer", "kind": "expression", "math_text": "-5995 - 76984", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5995, \"b\": 76984}", "seed": "7774296285948077073", "semantic_fingerprint": "sha256:d5ea7f6d328217c655e3a8aa922fa990aa0726c29f96910fe08dbb3db7b4563f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001989", "prompt": "What is 8417 / (-99583)?", "solution_steps": ["Divide: 8417 / (-99583) = -8417/99583"], "final_answer": "-8417/99583", "answer_type": "rational", "kind": "expression", "math_text": "8417 / (-99583)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8417, \"b\": -99583}", "seed": "13544868148675816824", "semantic_fingerprint": "sha256:8b44cf94fbf597d12c0dfaddb2687a02bc39f8745514be53efc84f0e58ea2caf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001990", "prompt": "Compute: 8968 + (-6722)", "solution_steps": ["Add: 8968 + (-6722) = 2246"], "final_answer": "2246", "answer_type": "integer", "kind": "expression", "math_text": "8968 + (-6722)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8968, \"b\": -6722}", "seed": "11211388843617749068", "semantic_fingerprint": "sha256:63c2c4bde350c1edb0ef64ae9d92e0536bf21a39c395ee04109f89ebf71cf2aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001991", "prompt": "Compute: (4846 - 9306) * (5481 + 7576)", "solution_steps": ["Subtract: 4846 - 9306 = -4460", "Add: 5481 + 7576 = 13057", "Multiply: -4460 * 13057 = -58234220"], "final_answer": "-58234220", "answer_type": "integer", "kind": "expression", "math_text": "(4846 - 9306) * (5481 + 7576)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4846, \"b\": 9306, \"c\": 5481, \"d\": 7576}", "seed": "16893168073598142184", "semantic_fingerprint": "sha256:9771d62cb7532568e686ca892bb44265b321264c681cbc41c6d7eafb9f56c862", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001992", "prompt": "What is -3507 / 91775 - (-4957)?", "solution_steps": ["Divide: -3507 / 91775 = -3507/91775", "Subtract: -3507/91775 - (-4957) = 454925168/91775"], "final_answer": "454925168/91775", "answer_type": "rational", "kind": "expression", "math_text": "-3507 / 91775 - (-4957)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3507, \"b\": 91775, \"c\": -4957}", "seed": "11575678354852635307", "semantic_fingerprint": "sha256:850316b76f4efe2494c6aeb1bb2bc21316436627260d69704524284e033b2424", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001993", "prompt": "Calculate: 6934 / (-7263 + (-77871))", "solution_steps": ["Add: -7263 + (-77871) = -85134", "Divide: 6934 / (-85134) = -3467/42567"], "final_answer": "-3467/42567", "answer_type": "rational", "kind": "expression", "math_text": "6934 / (-7263 + (-77871))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6934, \"b\": -7263, \"c\": -77871}", "seed": "12899622015510082276", "semantic_fingerprint": "sha256:affdea2194aba72e0b32d331144d202726e9c1da903adb41c9bb3d99ae5e4184", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001994", "prompt": "Calculate: -17122 - 95014 - 9940", "solution_steps": ["Subtract: -17122 - 95014 = -112136", "Subtract: -112136 - 9940 = -122076"], "final_answer": "-122076", "answer_type": "integer", "kind": "expression", "math_text": "-17122 - 95014 - 9940", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17122, \"b\": 95014, \"c\": 9940}", "seed": "17415970954348259715", "semantic_fingerprint": "sha256:8801927b532ae9d2553e0f57991cc7963f21cc6f7022d12e395dbb2d57a1db8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001995", "prompt": "Compute: -5415 + (-6394 - 4146 * (-80759))", "solution_steps": ["Multiply: 4146 * (-80759) = -334826814", "Subtract: -6394 - (-334826814) = 334820420", "Add: -5415 + 334820420 = 334815005"], "final_answer": "334815005", "answer_type": "integer", "kind": "expression", "math_text": "-5415 + (-6394 - 4146 * (-80759))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5415, \"b\": -6394, \"c\": 4146, \"d\": -80759}", "seed": "6224649755264765258", "semantic_fingerprint": "sha256:37381b98011b6575030ee9869d42b47669177b3c1126586acc599bb828b2355e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001996", "prompt": "Solve the equation 19(x - 7198) = -38(x + 50672) + 79236 for x.", "solution_steps": ["Expand: 19x - 136762 = -38(x + 50672) + 79236", "Expand: 19x - 136762 = -38x - 1925536 + 79236", "Combine constants: 19x - 136762 = -38x - 1846300", "Add 38x to both sides: 57x - 136762 = -1846300", "Add 136762 to both sides: 57x = -1709538", "Divide both sides by 57: x = -569846/19"], "final_answer": "-569846/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 7198) = -38(x + 50672) + 79236", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7198, \"c\": -38, \"d\": 50672, \"e\": 79236}", "seed": "2207118389786290462", "semantic_fingerprint": "sha256:de190289c948a61cc2055b298fb37a035c23efb096011bac8a0aecf40017baf4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001997", "prompt": "What is -67203 / 61987 * 7346?", "solution_steps": ["Divide: -67203 / 61987 = -67203/61987", "Multiply: (-67203/61987) * 7346 = -493673238/61987"], "final_answer": "-493673238/61987", "answer_type": "rational", "kind": "expression", "math_text": "-67203 / 61987 * 7346", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67203, \"b\": 61987, \"c\": 7346}", "seed": "17929058495742240959", "semantic_fingerprint": "sha256:a517bbcb6d9dba3fa18756d6991d5ab3da7135415d78149cb53fc53688889759", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001998", "prompt": "Evaluate: 7458 + (9510 + (-25249))", "solution_steps": ["Add: 9510 + (-25249) = -15739", "Add: 7458 + (-15739) = -8281"], "final_answer": "-8281", "answer_type": "integer", "kind": "expression", "math_text": "7458 + (9510 + (-25249))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7458, \"b\": 9510, \"c\": -25249}", "seed": "10194528349471423617", "semantic_fingerprint": "sha256:0238d6fd3c5d3b406f47f0a4a498b89cc47d9e44417eb97db71289175eeefa35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00001999", "prompt": "What is -4986 / 2917 - (-81216)?", "solution_steps": ["Divide: -4986 / 2917 = -4986/2917", "Subtract: -4986/2917 - (-81216) = 236902086/2917"], "final_answer": "236902086/2917", "answer_type": "rational", "kind": "expression", "math_text": "-4986 / 2917 - (-81216)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4986, \"b\": 2917, \"c\": -81216}", "seed": "11804615775889898459", "semantic_fingerprint": "sha256:6997315a87694abd9da4786d8d3022c9219afb9b430443f2bb3814cfe946d170", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002000", "prompt": "What value of x satisfies 36(x + 5494) + 6461 = -19(x - 4407)?", "solution_steps": ["Expand: 36x + 197784 + 6461 = -19(x - 4407)", "Expand: 36x + 197784 + 6461 = -19x + 83733", "Combine constants: 36x + 204245 = -19x + 83733", "Add 19x to both sides: 55x + 204245 = 83733", "Subtract 204245 from both sides: 55x = -120512", "Divide both sides by 55: x = -120512/55"], "final_answer": "-120512/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 5494) + 6461 = -19(x - 4407)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 5494, \"c\": 6461, \"d\": -19, \"e\": 4407}", "seed": "4015783104764359148", "semantic_fingerprint": "sha256:5686d1d594b0c8adc32b3b82bce825d434dece8a5095a89693386a2af69b4ca6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002001", "prompt": "Calculate: -67590 + (-70076)", "solution_steps": ["Add: -67590 + (-70076) = -137666"], "final_answer": "-137666", "answer_type": "integer", "kind": "expression", "math_text": "-67590 + (-70076)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67590, \"b\": -70076}", "seed": "6697334986805837190", "semantic_fingerprint": "sha256:1da5939c867cb2bad65284cc9362f7efebb8b65987790345fa5501dd2c98ae40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002002", "prompt": "What is (8332 - (-91755)) / (-90930)?", "solution_steps": ["Subtract: 8332 - (-91755) = 100087", "Divide: 100087 / (-90930) = -100087/90930"], "final_answer": "-100087/90930", "answer_type": "rational", "kind": "expression", "math_text": "(8332 - (-91755)) / (-90930)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8332, \"b\": -91755, \"c\": -90930}", "seed": "4284336195158488339", "semantic_fingerprint": "sha256:9da9136cf42f7e3de9c94f7f9308752eaeb65fc565f650c05cd90494c235be9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002003", "prompt": "Find x: 17(x + 5020) + 1468 = -98877", "solution_steps": ["Expand: 17x + 85340 + 1468 = -98877", "Combine constants: 17x + 86808 = -98877", "Subtract 86808 from both sides: 17x = -185685", "Divide both sides by 17: x = -185685/17"], "final_answer": "-185685/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 5020) + 1468 = -98877", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5020, \"c\": 1468, \"d\": -98877}", "seed": "8658121652091075941", "semantic_fingerprint": "sha256:c8dfb60eb0fbc1ff97e5134f3e66082f9417e135b99d3181299baecfebf175f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002004", "prompt": "Find x: x - 7332 = 18x - 9508", "solution_steps": ["Subtract 18x from both sides: -17x - 7332 = -9508", "Add 7332 to both sides: -17x = -2176", "Divide both sides by -17: x = 128"], "final_answer": "128", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7332 = 18x - 9508", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7332, \"b\": 18, \"d\": -9508, \"x\": 128}", "seed": "2415022433464629041", "semantic_fingerprint": "sha256:97f24d370626cdff8c93c8052cda308f8a046883369060c8227c954b843a68ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002005", "prompt": "What is -3135 - 2014?", "solution_steps": ["Subtract: -3135 - 2014 = -5149"], "final_answer": "-5149", "answer_type": "integer", "kind": "expression", "math_text": "-3135 - 2014", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3135, \"b\": 2014}", "seed": "6643621842952575103", "semantic_fingerprint": "sha256:c79aea327dab264306b1d162f2ee6cc95dcf2342bcea247723ef069231974f68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002006", "prompt": "Find x: -29(x - 6379) = 23(x + 72452) - 9969", "solution_steps": ["Expand: -29x + 184991 = 23(x + 72452) - 9969", "Expand: -29x + 184991 = 23x + 1666396 - 9969", "Combine constants: -29x + 184991 = 23x + 1656427", "Subtract 23x from both sides: -52x + 184991 = 1656427", "Subtract 184991 from both sides: -52x = 1471436", "Divide both sides by -52: x = -367859/13"], "final_answer": "-367859/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 6379) = 23(x + 72452) - 9969", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 6379, \"c\": 23, \"d\": 72452, \"e\": 9969}", "seed": "6400306362393920446", "semantic_fingerprint": "sha256:d675699ec95643c236c868db1874893f5261e97e9f7c310e4e5e9170901e100c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002007", "prompt": "Calculate: -75720 * (14211 + 33989)", "solution_steps": ["Add: 14211 + 33989 = 48200", "Multiply: -75720 * 48200 = -3649704000"], "final_answer": "-3649704000", "answer_type": "integer", "kind": "expression", "math_text": "-75720 * (14211 + 33989)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75720, \"b\": 14211, \"c\": 33989}", "seed": "4536795488933958475", "semantic_fingerprint": "sha256:3c5f064f58f4090bf70a05ec6c5b8ed6bf220bd75c8a94d21ad74706317fb714", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002008", "prompt": "What is -9215 / (-1030)?", "solution_steps": ["Divide: -9215 / (-1030) = 1843/206"], "final_answer": "1843/206", "answer_type": "rational", "kind": "expression", "math_text": "-9215 / (-1030)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9215, \"b\": -1030}", "seed": "9949983519613873649", "semantic_fingerprint": "sha256:f7dff6c92d244b25bc7334e4d52ef7513adb0079c44325fbd22a3160398c169f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002009", "prompt": "Calculate: -33648 - (7518 - 77963)", "solution_steps": ["Subtract: 7518 - 77963 = -70445", "Subtract: -33648 - (-70445) = 36797"], "final_answer": "36797", "answer_type": "integer", "kind": "expression", "math_text": "-33648 - (7518 - 77963)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33648, \"b\": 7518, \"c\": 77963}", "seed": "13313068731197899456", "semantic_fingerprint": "sha256:cf2d90df8060860bfc7d26e102dd7ad39aa4190a4ebb59939ec3d23e623ce5b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002010", "prompt": "Solve for x: 23(x + 11600) = 36x - 3878", "solution_steps": ["Expand: 23x + 266800 = 36x - 3878", "Subtract 36x from both sides: -13x + 266800 = -3878", "Subtract 266800 from both sides: -13x = -270678", "Divide both sides by -13: x = 270678/13"], "final_answer": "270678/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 11600) = 36x - 3878", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 11600, \"c\": 36, \"d\": 3878}", "seed": "6459648402765345188", "semantic_fingerprint": "sha256:dbe2a83052a40632cb9d901f84cbf997343e29b57c97803a0f38ed7ae0388f55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002011", "prompt": "Solve for x: x - 33016 = -32841", "solution_steps": ["Add 33016 to both sides: x = 175"], "final_answer": "175", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 33016 = -32841", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33016, \"c\": -32841, \"x\": 175}", "seed": "3396104146847527689", "semantic_fingerprint": "sha256:1ce59b45f88cca5a01c28bbe05a723293fff78b2cb3e4041570b02247ea4e375", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002012", "prompt": "Solve the equation 16(x + 5765) = 36x + 92840 for x.", "solution_steps": ["Expand: 16x + 92240 = 36x + 92840", "Subtract 36x from both sides: -20x + 92240 = 92840", "Subtract 92240 from both sides: -20x = 600", "Divide both sides by -20: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 5765) = 36x + 92840", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5765, \"c\": 36, \"e\": 92840, \"x\": -30}", "seed": "9224020427653448106", "semantic_fingerprint": "sha256:4c6157c7d8790af2191d7c7257693b2fc478ec61282aa737d0bd9a8bdc92446a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002013", "prompt": "What value of x satisfies 25x = 40x?", "solution_steps": ["Subtract 40x from both sides: -15x = 0", "Divide both sides by -15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = 40x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 40}", "seed": "12319928156689243210", "semantic_fingerprint": "sha256:66f8365a9bb067e6df9d18546f86587cd7938bf0e3405ed2c8b543fe62a1a505", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002014", "prompt": "What is -90948 * 1213 / (-2715)?", "solution_steps": ["Multiply: -90948 * 1213 = -110319924", "Divide: -110319924 / (-2715) = 36773308/905"], "final_answer": "36773308/905", "answer_type": "rational", "kind": "expression", "math_text": "-90948 * 1213 / (-2715)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90948, \"b\": 1213, \"c\": -2715}", "seed": "6921601429981577854", "semantic_fingerprint": "sha256:d70c90a49d898f11e3500deee4531c0a501e01ea202cb2de55b8f88a3a18c84e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002015", "prompt": "Find x: 36(x + 27027) = 7503", "solution_steps": ["Expand: 36x + 972972 = 7503", "Subtract 972972 from both sides: 36x = -965469", "Divide both sides by 36: x = -321823/12"], "final_answer": "-321823/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 27027) = 7503", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 27027, \"c\": 7503}", "seed": "11429347835337081231", "semantic_fingerprint": "sha256:94c1ecf81b070ae68d5f271e4b94879863b969ebc1d5a9fe8cd05f66055c537f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002016", "prompt": "Solve the equation x = -32(x - 7247) + 72972 for x.", "solution_steps": ["Expand: x = -32x + 231904 + 72972", "Combine constants: x = -32x + 304876", "Add 32x to both sides: 33x = 304876", "Divide both sides by 33: x = 27716/3"], "final_answer": "27716/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -32(x - 7247) + 72972", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 7247, \"c\": 72972}", "seed": "5189062557303863964", "semantic_fingerprint": "sha256:4d1bd48c52cc638a195ec893f9f12610dc64e648e154ef3ec12a473d37f9f126", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002017", "prompt": "What is -8028 - (-18341) * (-7671)?", "solution_steps": ["Multiply: -18341 * (-7671) = 140693811", "Subtract: -8028 - 140693811 = -140701839"], "final_answer": "-140701839", "answer_type": "integer", "kind": "expression", "math_text": "-8028 - (-18341) * (-7671)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8028, \"b\": -18341, \"c\": -7671}", "seed": "13027191912008420695", "semantic_fingerprint": "sha256:eeba14865f6c1bb486844803520b99e99ed52f2739ab51dfdc7892723d553a8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002018", "prompt": "Calculate: 6393 / ((76612 - (-96348)) / 1101) + (-5467 + 29979)", "solution_steps": ["Subtract: 76612 - (-96348) = 172960", "Divide: 172960 / 1101 = 172960/1101", "Divide: 6393 / (172960/1101) = 7038693/172960", "Add: -5467 + 29979 = 24512", "Add: 7038693/172960 + 24512 = 4246634213/172960"], "final_answer": "4246634213/172960", "answer_type": "rational", "kind": "expression", "math_text": "6393 / ((76612 - (-96348)) / 1101) + (-5467 + 29979)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6393, \"b\": 76612, \"c\": -96348, \"d\": 1101, \"e\": -5467, \"f\": 29979}", "seed": "1295986452300274470", "semantic_fingerprint": "sha256:f26a87e1da18a8b33d1e1da2027e2f9a7377f066e0ade6857029b4208f9b601d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002019", "prompt": "Calculate: 29267 - (-6976) + (-3414)", "solution_steps": ["Subtract: 29267 - (-6976) = 36243", "Add: 36243 + (-3414) = 32829"], "final_answer": "32829", "answer_type": "integer", "kind": "expression", "math_text": "29267 - (-6976) + (-3414)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29267, \"b\": -6976, \"c\": -3414}", "seed": "17770162774532023111", "semantic_fingerprint": "sha256:d2d8e788a3d1a310da219c03d50dfeaf203a2b78beb6097da24beab92315d624", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002020", "prompt": "What is 6805 + 21860 / 1436?", "solution_steps": ["Divide: 21860 / 1436 = 5465/359", "Add: 6805 + 5465/359 = 2448460/359"], "final_answer": "2448460/359", "answer_type": "rational", "kind": "expression", "math_text": "6805 + 21860 / 1436", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6805, \"b\": 21860, \"c\": 1436}", "seed": "3082209366278800982", "semantic_fingerprint": "sha256:60e80578633213457b96a7622355c7b9b464aff9b46a7a21ab3d9a0a42df2bb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002021", "prompt": "Solve for x: 15x = 20x", "solution_steps": ["Subtract 20x from both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = 20x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 20}", "seed": "6689938541534554000", "semantic_fingerprint": "sha256:8742245458d332c37f28b9b5bf2cca2e44aa7e645b313d86247317ede924f4da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002022", "prompt": "What is -2006 * (-1411) - (-88404)?", "solution_steps": ["Multiply: -2006 * (-1411) = 2830466", "Subtract: 2830466 - (-88404) = 2918870"], "final_answer": "2918870", "answer_type": "integer", "kind": "expression", "math_text": "-2006 * (-1411) - (-88404)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2006, \"b\": -1411, \"c\": -88404}", "seed": "3864713299930551903", "semantic_fingerprint": "sha256:2cc9d565c714d455f81622d8911efe4513f88e4987d0a93cd464bed02509c90f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002023", "prompt": "Solve for x: 15x - 27685 = -17x + 9370", "solution_steps": ["Add 17x to both sides: 32x - 27685 = 9370", "Add 27685 to both sides: 32x = 37055", "Divide both sides by 32: x = 37055/32"], "final_answer": "37055/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x - 27685 = -17x + 9370", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 27685, \"c\": -17, \"d\": 9370}", "seed": "15093706310834837639", "semantic_fingerprint": "sha256:09cbb3a2adf90eeb461462711019ba918d67fc90b8652c9990dc3c1c9f5477dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002024", "prompt": "Calculate: -43865 * (80513 - (-5511) - (-84146))", "solution_steps": ["Subtract: 80513 - (-5511) = 86024", "Subtract: 86024 - (-84146) = 170170", "Multiply: -43865 * 170170 = -7464507050"], "final_answer": "-7464507050", "answer_type": "integer", "kind": "expression", "math_text": "-43865 * (80513 - (-5511) - (-84146))", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -43865, \"b\": 80513, \"c\": -5511, \"d\": -84146}", "seed": "7653142277124392519", "semantic_fingerprint": "sha256:e0313486d8aaae695a3a442216c6dc847efbdaf24d7138b091c9d57d3a80cde4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002025", "prompt": "What is -76130 + (56740 + 72948) * 19329?", "solution_steps": ["Add: 56740 + 72948 = 129688", "Multiply: 129688 * 19329 = 2506739352", "Add: -76130 + 2506739352 = 2506663222"], "final_answer": "2506663222", "answer_type": "integer", "kind": "expression", "math_text": "-76130 + (56740 + 72948) * 19329", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -76130, \"b\": 56740, \"c\": 72948, \"d\": 19329}", "seed": "8233894362030703162", "semantic_fingerprint": "sha256:a29dad6b7aad867d1cb516faa99f4d18e85c3a287b034eab6afbf9689049d752", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002026", "prompt": "Evaluate: -5804 * (1931 / (-82151))", "solution_steps": ["Divide: 1931 / (-82151) = -1931/82151", "Multiply: -5804 * (-1931/82151) = 11207524/82151"], "final_answer": "11207524/82151", "answer_type": "rational", "kind": "expression", "math_text": "-5804 * (1931 / (-82151))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5804, \"b\": 1931, \"c\": -82151}", "seed": "3475653976160777686", "semantic_fingerprint": "sha256:9d7520c1a6b11d65d88440148e0f571de00cd21a5d7007aa967c5ec39bcc3626", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002027", "prompt": "What is -4916 - (-9643 - 3244) * (-11124)?", "solution_steps": ["Subtract: -9643 - 3244 = -12887", "Multiply: -12887 * (-11124) = 143354988", "Subtract: -4916 - 143354988 = -143359904"], "final_answer": "-143359904", "answer_type": "integer", "kind": "expression", "math_text": "-4916 - (-9643 - 3244) * (-11124)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4916, \"b\": -9643, \"c\": 3244, \"d\": -11124}", "seed": "12017762899791418711", "semantic_fingerprint": "sha256:8234feb637c3265c5fab82dac58bc9e3c6d3b73ba7381b228f60013d43dc8968", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002028", "prompt": "What is 3612 - (-39385) / (-23102) * 8231?", "solution_steps": ["Divide: -39385 / (-23102) = 39385/23102", "Multiply: (39385/23102) * 8231 = 324177935/23102", "Subtract: 3612 - 324177935/23102 = -240733511/23102"], "final_answer": "-240733511/23102", "answer_type": "rational", "kind": "expression", "math_text": "3612 - (-39385) / (-23102) * 8231", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3612, \"b\": -39385, \"c\": -23102, \"d\": 8231}", "seed": "2291620303783682913", "semantic_fingerprint": "sha256:aeda28a6c19ff997b0c54cec4e8c21233b407f0b8ec1a486e75226d10d3b9f9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002029", "prompt": "Calculate: 54285 * (-7459)", "solution_steps": ["Multiply: 54285 * (-7459) = -404911815"], "final_answer": "-404911815", "answer_type": "integer", "kind": "expression", "math_text": "54285 * (-7459)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 54285, \"b\": -7459}", "seed": "18030952809824393693", "semantic_fingerprint": "sha256:a988f8578451e85388a90940ba7713474f95ca6ba74f375d299c174bd0497cd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002030", "prompt": "Solve for x: x + 3390 = 31x", "solution_steps": ["Subtract 31x from both sides: -30x + 3390 = 0", "Subtract 3390 from both sides: -30x = -3390", "Divide both sides by -30: x = 113"], "final_answer": "113", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3390 = 31x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 3390, \"x\": 113}", "seed": "18311341940848317570", "semantic_fingerprint": "sha256:dcf5966ec26f01b827ca0dbb99a926ec3b6aefed49ba288940dd3af5b446fff4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002031", "prompt": "Compute: 62973 + (-1986) * (14746 + (-5925) - (73287 - (-36197)))", "solution_steps": ["Add: 14746 + (-5925) = 8821", "Subtract: 73287 - (-36197) = 109484", "Subtract: 8821 - 109484 = -100663", "Multiply: -1986 * (-100663) = 199916718", "Add: 62973 + 199916718 = 199979691"], "final_answer": "199979691", "answer_type": "integer", "kind": "expression", "math_text": "62973 + (-1986) * (14746 + (-5925) - (73287 - (-36197)))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (- (+ n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 62973, \"b\": -1986, \"c\": 14746, \"d\": -5925, \"e\": 73287, \"f\": -36197}", "seed": "2115632168583591688", "semantic_fingerprint": "sha256:9c4546904b2a36edf418db825769cb44a66150180aa160b7979a2c14c0dfc094", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002032", "prompt": "Solve the equation 34(x + 1225) - 37558 = x for x.", "solution_steps": ["Expand: 34x + 41650 - 37558 = x", "Combine constants: 34x + 4092 = x", "Subtract x from both sides: 33x + 4092 = 0", "Subtract 4092 from both sides: 33x = -4092", "Divide both sides by 33: x = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x + 1225) - 37558 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 1225, \"d\": -37558, \"x\": -124}", "seed": "6074447418682767495", "semantic_fingerprint": "sha256:7eca10209927880f62cc8f0d159672db72b7a0367b12d1da7f0f467921ee28f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002033", "prompt": "Solve the equation x = 14(x + 6532) - 90239 for x.", "solution_steps": ["Expand: x = 14x + 91448 - 90239", "Combine constants: x = 14x + 1209", "Subtract 14x from both sides: -13x = 1209", "Divide both sides by -13: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14(x + 6532) - 90239", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6532, \"d\": -90239, \"x\": -93}", "seed": "18190256012580533730", "semantic_fingerprint": "sha256:d89cb87a5e879e7953caf74cc805386fae0ae7702f857ace36001644fe25f2a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002034", "prompt": "What is -4583 - (-6471) + (-97038 + (-71856)) * (-7814)?", "solution_steps": ["Subtract: -4583 - (-6471) = 1888", "Add: -97038 + (-71856) = -168894", "Multiply: -168894 * (-7814) = 1319737716", "Add: 1888 + 1319737716 = 1319739604"], "final_answer": "1319739604", "answer_type": "integer", "kind": "expression", "math_text": "-4583 - (-6471) + (-97038 + (-71856)) * (-7814)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4583, \"b\": -6471, \"c\": -97038, \"d\": -71856, \"e\": -7814}", "seed": "15312367085629824096", "semantic_fingerprint": "sha256:c6459b202d1fced10eeb9c4b2f00b9763389b680452a15cd25290e57ffbc5738", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002035", "prompt": "Evaluate: 58807 + 2075", "solution_steps": ["Add: 58807 + 2075 = 60882"], "final_answer": "60882", "answer_type": "integer", "kind": "expression", "math_text": "58807 + 2075", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 58807, \"b\": 2075}", "seed": "14042780068982640650", "semantic_fingerprint": "sha256:cdc33d4e330171a644726d125f7be49689752213452c25839fbdbe03d9065ef3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002036", "prompt": "Evaluate: 5242 - 1164 / (-6498)", "solution_steps": ["Divide: 1164 / (-6498) = -194/1083", "Subtract: 5242 - (-194/1083) = 5677280/1083"], "final_answer": "5677280/1083", "answer_type": "rational", "kind": "expression", "math_text": "5242 - 1164 / (-6498)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5242, \"b\": 1164, \"c\": -6498}", "seed": "9558473869138084414", "semantic_fingerprint": "sha256:80f30ecfa1467757102de941baacd88cd5f2bec957888fc848c2bfbe54b4618d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002037", "prompt": "Compute: 1444 * (9922 + 62010) + 82576", "solution_steps": ["Add: 9922 + 62010 = 71932", "Multiply: 1444 * 71932 = 103869808", "Add: 103869808 + 82576 = 103952384"], "final_answer": "103952384", "answer_type": "integer", "kind": "expression", "math_text": "1444 * (9922 + 62010) + 82576", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1444, \"b\": 9922, \"c\": 62010, \"d\": 82576}", "seed": "2330801450190296424", "semantic_fingerprint": "sha256:e5f48f66db1e23ba23b94437c9136c162f7d30b7966312eadb98c088a1830d22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002038", "prompt": "Compute: 9770 - (-2892 + 8709)", "solution_steps": ["Add: -2892 + 8709 = 5817", "Subtract: 9770 - 5817 = 3953"], "final_answer": "3953", "answer_type": "integer", "kind": "expression", "math_text": "9770 - (-2892 + 8709)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9770, \"b\": -2892, \"c\": 8709}", "seed": "3110042603005895372", "semantic_fingerprint": "sha256:1af646f64e4f5c0f6f60cf80b73d84f58123b7dce03004eebeef80a88db8ff81", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002039", "prompt": "What value of x satisfies x = -34(x + 9894)?", "solution_steps": ["Expand: x = -34x - 336396", "Add 34x to both sides: 35x = -336396", "Divide both sides by 35: x = -336396/35"], "final_answer": "-336396/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -34(x + 9894)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 9894}", "seed": "15983837142852564632", "semantic_fingerprint": "sha256:0ad53c8514440d3e431e1f398c74f125dbef50437848edb3c7866899a66c63cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002040", "prompt": "What is -98026 - 26976?", "solution_steps": ["Subtract: -98026 - 26976 = -125002"], "final_answer": "-125002", "answer_type": "integer", "kind": "expression", "math_text": "-98026 - 26976", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -98026, \"b\": 26976}", "seed": "10297046558139003404", "semantic_fingerprint": "sha256:f46a5245e319fa5b1d234c9ea2152704e6da63a6f435039bb432653303c7cb2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002041", "prompt": "Compute: 80319 * (83556 + 9545) / 7630", "solution_steps": ["Add: 83556 + 9545 = 93101", "Multiply: 80319 * 93101 = 7477779219", "Divide: 7477779219 / 7630 = 7477779219/7630"], "final_answer": "7477779219/7630", "answer_type": "rational", "kind": "expression", "math_text": "80319 * (83556 + 9545) / 7630", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80319, \"b\": 83556, \"c\": 9545, \"d\": 7630}", "seed": "11903569030364081881", "semantic_fingerprint": "sha256:18fc900cc97d0eb20ec2d22629f3295506c370f7b7728e502097e327aa6e8ed5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002042", "prompt": "What is -7763 * (-1286) / 7428 - (-80237)?", "solution_steps": ["Multiply: -7763 * (-1286) = 9983218", "Divide: 9983218 / 7428 = 4991609/3714", "Subtract: 4991609/3714 - (-80237) = 302991827/3714"], "final_answer": "302991827/3714", "answer_type": "rational", "kind": "expression", "math_text": "-7763 * (-1286) / 7428 - (-80237)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7763, \"b\": -1286, \"c\": 7428, \"d\": -80237}", "seed": "11322549211966446028", "semantic_fingerprint": "sha256:4a7cb46c0f8e6c15d065c7c1486b1d6aed5fd63aa13eb323087e9bfa8a9aa53d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002043", "prompt": "Solve for x: 14(x - 7948) + 60627 = -33x", "solution_steps": ["Expand: 14x - 111272 + 60627 = -33x", "Combine constants: 14x - 50645 = -33x", "Add 33x to both sides: 47x - 50645 = 0", "Add 50645 to both sides: 47x = 50645", "Divide both sides by 47: x = 50645/47"], "final_answer": "50645/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 7948) + 60627 = -33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7948, \"c\": 60627, \"d\": -33}", "seed": "16053035077342837898", "semantic_fingerprint": "sha256:e629b8c76710c44e2afed24c07bc7bf841bf808640164422e2323a0cf9098063", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002044", "prompt": "Solve the equation 15(x - 8614) = 39x for x.", "solution_steps": ["Expand: 15x - 129210 = 39x", "Subtract 39x from both sides: -24x - 129210 = 0", "Add 129210 to both sides: -24x = 129210", "Divide both sides by -24: x = -21535/4"], "final_answer": "-21535/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 8614) = 39x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 8614, \"c\": 39}", "seed": "14127221491263630691", "semantic_fingerprint": "sha256:bdac86349884e04f449c34af688a4d3d4dfc1e09a58e512aee200f3eb9fc6258", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002045", "prompt": "What is 12418 * (-8195) + 2360?", "solution_steps": ["Multiply: 12418 * (-8195) = -101765510", "Add: -101765510 + 2360 = -101763150"], "final_answer": "-101763150", "answer_type": "integer", "kind": "expression", "math_text": "12418 * (-8195) + 2360", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12418, \"b\": -8195, \"c\": 2360}", "seed": "12741948678200572978", "semantic_fingerprint": "sha256:61a88bc9026eab26531124827bfa3e414ab13a35074236845650a5d4aa4debfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002046", "prompt": "Calculate: (37655 - (-1932)) * (-3360)", "solution_steps": ["Subtract: 37655 - (-1932) = 39587", "Multiply: 39587 * (-3360) = -133012320"], "final_answer": "-133012320", "answer_type": "integer", "kind": "expression", "math_text": "(37655 - (-1932)) * (-3360)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37655, \"b\": -1932, \"c\": -3360}", "seed": "11647034640216671300", "semantic_fingerprint": "sha256:fefb4fd8c6aa51bab583c3d142371b3dd81c949481eaaf87f861be500254fffd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002047", "prompt": "Calculate: 4704 * (-5920) + 4530", "solution_steps": ["Multiply: 4704 * (-5920) = -27847680", "Add: -27847680 + 4530 = -27843150"], "final_answer": "-27843150", "answer_type": "integer", "kind": "expression", "math_text": "4704 * (-5920) + 4530", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4704, \"b\": -5920, \"c\": 4530}", "seed": "9950531810690033184", "semantic_fingerprint": "sha256:7c8ae5a0de6671d5e4261107b191531089732751c7f5d5ddd1e338162907ae8a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002048", "prompt": "Calculate: -74678 + (-3163) + 9032", "solution_steps": ["Add: -74678 + (-3163) = -77841", "Add: -77841 + 9032 = -68809"], "final_answer": "-68809", "answer_type": "integer", "kind": "expression", "math_text": "-74678 + (-3163) + 9032", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74678, \"b\": -3163, \"c\": 9032}", "seed": "3079012045649658135", "semantic_fingerprint": "sha256:b2bc370cce9c7c5530790cac5d0ea3f5ac74b21fccc10a893628682daac7facb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002049", "prompt": "Calculate: -43271 + (-66892) - (-81756)", "solution_steps": ["Add: -43271 + (-66892) = -110163", "Subtract: -110163 - (-81756) = -28407"], "final_answer": "-28407", "answer_type": "integer", "kind": "expression", "math_text": "-43271 + (-66892) - (-81756)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43271, \"b\": -66892, \"c\": -81756}", "seed": "13794095417266655695", "semantic_fingerprint": "sha256:cc4a675debab9d5bc5cd717579175a814030061c2c417b1df423d01bde8db61f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002050", "prompt": "What is -34994 - (77331 + (-85429))?", "solution_steps": ["Add: 77331 + (-85429) = -8098", "Subtract: -34994 - (-8098) = -26896"], "final_answer": "-26896", "answer_type": "integer", "kind": "expression", "math_text": "-34994 - (77331 + (-85429))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34994, \"b\": 77331, \"c\": -85429}", "seed": "5009809362002830214", "semantic_fingerprint": "sha256:631ab6f793a547873a28dac8b74af66ac1a4172ffc410dbeebff65070ad46e30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002051", "prompt": "What value of x satisfies 28(x - 9536) = 33(x - 8874) + 25009?", "solution_steps": ["Expand: 28x - 267008 = 33(x - 8874) + 25009", "Expand: 28x - 267008 = 33x - 292842 + 25009", "Combine constants: 28x - 267008 = 33x - 267833", "Subtract 33x from both sides: -5x - 267008 = -267833", "Add 267008 to both sides: -5x = -825", "Divide both sides by -5: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x - 9536) = 33(x - 8874) + 25009", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 9536, \"c\": 33, \"d\": 8874, \"f\": 25009, \"x\": 165}", "seed": "13762154472932601817", "semantic_fingerprint": "sha256:c47c1b6d24dad48b8c93eeb942d37322b5b54b28f2cebc2a0e0c7cfe09a6fac1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002052", "prompt": "Compute: 9830 / 5496", "solution_steps": ["Divide: 9830 / 5496 = 4915/2748"], "final_answer": "4915/2748", "answer_type": "rational", "kind": "expression", "math_text": "9830 / 5496", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9830, \"b\": 5496}", "seed": "9643224308101438277", "semantic_fingerprint": "sha256:b821e455e15e842459441d770a98fbe32d77f851d58d1e4f7aa63a8fbfe2fd08", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002053", "prompt": "Evaluate: -4030 * (4146 / (-6503))", "solution_steps": ["Divide: 4146 / (-6503) = -4146/6503", "Multiply: -4030 * (-4146/6503) = 16708380/6503"], "final_answer": "16708380/6503", "answer_type": "rational", "kind": "expression", "math_text": "-4030 * (4146 / (-6503))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4030, \"b\": 4146, \"c\": -6503}", "seed": "17785105371312241372", "semantic_fingerprint": "sha256:28381fbfd4edfb4e7176407122be830520d5d9ea0ce8b91ed391bd0b37a08089", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002054", "prompt": "Solve the equation 39x = -28x - 7236 for x.", "solution_steps": ["Add 28x to both sides: 67x = -7236", "Divide both sides by 67: x = -108"], "final_answer": "-108", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = -28x - 7236", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": -28, \"d\": -7236, \"x\": -108}", "seed": "3975822037060492779", "semantic_fingerprint": "sha256:9c671f2dc10a0a95d32c872d84d5f052d95678ae525da1b6f8d495af6ed45e40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002055", "prompt": "Find x: -16x + 8830 = -38x + 8129", "solution_steps": ["Add 38x to both sides: 22x + 8830 = 8129", "Subtract 8830 from both sides: 22x = -701", "Divide both sides by 22: x = -701/22"], "final_answer": "-701/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x + 8830 = -38x + 8129", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 8830, \"c\": -38, \"d\": 8129}", "seed": "4248134102923785382", "semantic_fingerprint": "sha256:ccda7e6c643e683cd1e6334887c137e57596fe0a019ea8cfe955f6bb98c3e3e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002056", "prompt": "Solve for x: 29x = x + 5348", "solution_steps": ["Subtract x from both sides: 28x = 5348", "Divide both sides by 28: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = x + 5348", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 5348, \"x\": 191}", "seed": "7050401497418526946", "semantic_fingerprint": "sha256:282441a3a14d5d437244db6cd1829fcfebda39deb0a248749b23c4e5d0deef30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002057", "prompt": "Solve the equation x = -19x for x.", "solution_steps": ["Add 19x to both sides: 20x = 0", "Divide both sides by 20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -19x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19}", "seed": "13686937651269029191", "semantic_fingerprint": "sha256:61ad2083b6cc5eda9452601385b0ad8b40929cedf1e9287901d67dc99f25353a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002058", "prompt": "Compute: -5021 / (-25812) - 94257 + (-61805)", "solution_steps": ["Divide: -5021 / (-25812) = 5021/25812", "Subtract: 5021/25812 - 94257 = -2432956663/25812", "Add: -2432956663/25812 + (-61805) = -4028267323/25812"], "final_answer": "-4028267323/25812", "answer_type": "rational", "kind": "expression", "math_text": "-5021 / (-25812) - 94257 + (-61805)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5021, \"b\": -25812, \"c\": 94257, \"d\": -61805}", "seed": "8254135393539649731", "semantic_fingerprint": "sha256:56307213c28af6948ea55d35e9fa1fff6586b4f8507c36ba111630f520c795a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002059", "prompt": "What value of x satisfies x = 38x + 2701?", "solution_steps": ["Subtract 38x from both sides: -37x = 2701", "Divide both sides by -37: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 38x + 2701", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 2701, \"x\": -73}", "seed": "8819069142361298242", "semantic_fingerprint": "sha256:2816b6ba700694e2070cfab68495c3872d2d993b8595ad1e9fe6f95332165cfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002060", "prompt": "Evaluate: 8276 + (1229 + (-1047))", "solution_steps": ["Add: 1229 + (-1047) = 182", "Add: 8276 + 182 = 8458"], "final_answer": "8458", "answer_type": "integer", "kind": "expression", "math_text": "8276 + (1229 + (-1047))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8276, \"b\": 1229, \"c\": -1047}", "seed": "16409041065254526714", "semantic_fingerprint": "sha256:0c5d51d8af24770ce5816e86c20081b0efc4a843ba8717cae210079d1c905fa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002061", "prompt": "Compute: 64444 - (-79061) - (-25918) / (-99507)", "solution_steps": ["Subtract: 64444 - (-79061) = 143505", "Divide: -25918 / (-99507) = 25918/99507", "Subtract: 143505 - 25918/99507 = 14279726117/99507"], "final_answer": "14279726117/99507", "answer_type": "rational", "kind": "expression", "math_text": "64444 - (-79061) - (-25918) / (-99507)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64444, \"b\": -79061, \"c\": -25918, \"d\": -99507}", "seed": "15079059358081730684", "semantic_fingerprint": "sha256:be8f93be54464fd74ab1b694215b94479a57072f4549c34841ac46f142d20e6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002062", "prompt": "Evaluate: 2542 / (-2883) / (10594 / (8637 + (-67867))) + 73850", "solution_steps": ["Divide: 2542 / (-2883) = -82/93", "Add: 8637 + (-67867) = -59230", "Divide: 10594 / (-59230) = -5297/29615", "Divide: (-82/93) / (-5297/29615) = 2428430/492621", "Add: 2428430/492621 + 73850 = 36382489280/492621"], "final_answer": "36382489280/492621", "answer_type": "rational", "kind": "expression", "math_text": "2542 / (-2883) / (10594 / (8637 + (-67867))) + 73850", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) (/ n (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2542, \"b\": -2883, \"c\": 10594, \"d\": 8637, \"e\": -67867, \"f\": 73850}", "seed": "1780462114389233056", "semantic_fingerprint": "sha256:a2a5753aee9e7421a5d7ebdfc7702454db72248e9cf480ad1784a1465d3ac08d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002063", "prompt": "What value of x satisfies 17x + 58016 = -29x + 9425?", "solution_steps": ["Add 29x to both sides: 46x + 58016 = 9425", "Subtract 58016 from both sides: 46x = -48591", "Divide both sides by 46: x = -48591/46"], "final_answer": "-48591/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x + 58016 = -29x + 9425", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 58016, \"c\": -29, \"d\": 9425}", "seed": "15031178110815073204", "semantic_fingerprint": "sha256:7e46d11863601e544595e895ab2d9858553cb0f1a10f06985dc976e67d10f9cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002064", "prompt": "What value of x satisfies 13x = 32(x + 9681)?", "solution_steps": ["Expand: 13x = 32x + 309792", "Subtract 32x from both sides: -19x = 309792", "Divide both sides by -19: x = -309792/19"], "final_answer": "-309792/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 32(x + 9681)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 32, \"c\": 9681}", "seed": "16599169483133696878", "semantic_fingerprint": "sha256:efdd99442957ba68e8cd2c52dde48e869489576f8e5b78bc4bc872a54a8a28b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002065", "prompt": "What is 4203 - (7046 + (-3679))?", "solution_steps": ["Add: 7046 + (-3679) = 3367", "Subtract: 4203 - 3367 = 836"], "final_answer": "836", "answer_type": "integer", "kind": "expression", "math_text": "4203 - (7046 + (-3679))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4203, \"b\": 7046, \"c\": -3679}", "seed": "3721713657291117914", "semantic_fingerprint": "sha256:6bbc38bacf5396d3d51fbf28fe2ef43ce09b7c087b2dda90374a47f589f167b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002066", "prompt": "Solve the equation -20(x + 74473) - 7667 = -4390 for x.", "solution_steps": ["Expand: -20x - 1489460 - 7667 = -4390", "Combine constants: -20x - 1497127 = -4390", "Add 1497127 to both sides: -20x = 1492737", "Divide both sides by -20: x = -1492737/20"], "final_answer": "-1492737/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 74473) - 7667 = -4390", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 74473, \"c\": 7667, \"d\": -4390}", "seed": "556786339421524320", "semantic_fingerprint": "sha256:62f7598b372edc67e8b1a25fc77e5731433f0d963951ab3963c19d7da7d2e12f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002067", "prompt": "Evaluate: (-78664 - (-2834) + (-8376)) * 27052 - 99285", "solution_steps": ["Subtract: -78664 - (-2834) = -75830", "Add: -75830 + (-8376) = -84206", "Multiply: -84206 * 27052 = -2277940712", "Subtract: -2277940712 - 99285 = -2278039997"], "final_answer": "-2278039997", "answer_type": "integer", "kind": "expression", "math_text": "(-78664 - (-2834) + (-8376)) * 27052 - 99285", "variable": null, "family": "expression_4op", "shape": "(- (* (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -78664, \"b\": -2834, \"c\": -8376, \"d\": 27052, \"e\": 99285}", "seed": "5226992631882159988", "semantic_fingerprint": "sha256:5495a62a4061d758961903727f57f43317f856531f36dfd51bfa0a6ce77558e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002068", "prompt": "Find x: -24x - 3575 = x", "solution_steps": ["Subtract x from both sides: -25x - 3575 = 0", "Add 3575 to both sides: -25x = 3575", "Divide both sides by -25: x = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x - 3575 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"c\": -3575, \"x\": -143}", "seed": "13711021310457299041", "semantic_fingerprint": "sha256:935dfdd806329ec6218ee93ef8e5f3230dba700ab4705ef874ca34f331baaedd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002069", "prompt": "Evaluate: 19062 + (-91106 * (-18074) + (1089 + 33739 - (-2042)))", "solution_steps": ["Multiply: -91106 * (-18074) = 1646649844", "Add: 1089 + 33739 = 34828", "Subtract: 34828 - (-2042) = 36870", "Add: 1646649844 + 36870 = 1646686714", "Add: 19062 + 1646686714 = 1646705776"], "final_answer": "1646705776", "answer_type": "integer", "kind": "expression", "math_text": "19062 + (-91106 * (-18074) + (1089 + 33739 - (-2042)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19062, \"b\": -91106, \"c\": -18074, \"d\": 1089, \"e\": 33739, \"f\": -2042}", "seed": "4211142009421589818", "semantic_fingerprint": "sha256:99be36cc0c354539895f219b00af97491e34203770d7eb604ab236eeecc74c42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002070", "prompt": "Solve for x: x + 2059 = 20x + 7172", "solution_steps": ["Subtract 20x from both sides: -19x + 2059 = 7172", "Subtract 2059 from both sides: -19x = 5113", "Divide both sides by -19: x = -5113/19"], "final_answer": "-5113/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2059 = 20x + 7172", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2059, \"b\": 20, \"c\": 7172}", "seed": "17939300816311620510", "semantic_fingerprint": "sha256:0c4b9f6787522b192b217d36de9e0dc301f77d502d405fbd3a8f63c7a76466f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002071", "prompt": "Solve the equation 38x = 15x for x.", "solution_steps": ["Subtract 15x from both sides: 23x = 0", "Divide both sides by 23: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = 15x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 15}", "seed": "4394524907055336875", "semantic_fingerprint": "sha256:8bffb1370db23e9239f08e0995d83cd9fc5eb4e038ebc0a7b734e27164728577", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002072", "prompt": "What value of x satisfies 24x + 2654 = x - 1371?", "solution_steps": ["Subtract x from both sides: 23x + 2654 = -1371", "Subtract 2654 from both sides: 23x = -4025", "Divide both sides by 23: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 2654 = x - 1371", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2654, \"d\": -1371, \"x\": -175}", "seed": "11235053757916791517", "semantic_fingerprint": "sha256:2b5334debe11d44ae8dc5f80450065ea3da06895eb6f65ba67d649d4f681ad36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002073", "prompt": "Evaluate: 57333 + (-70598 - (-81773)) / (-6331)", "solution_steps": ["Subtract: -70598 - (-81773) = 11175", "Divide: 11175 / (-6331) = -11175/6331", "Add: 57333 + (-11175/6331) = 362964048/6331"], "final_answer": "362964048/6331", "answer_type": "rational", "kind": "expression", "math_text": "57333 + (-70598 - (-81773)) / (-6331)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 57333, \"b\": -70598, \"c\": -81773, \"d\": -6331}", "seed": "10568807446325819122", "semantic_fingerprint": "sha256:48f57b96b60e1d075f01256faeea94c6b06173e8870f670ebdb4451f994a1d2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002074", "prompt": "Calculate: -7203 / 6449 + (-6089)", "solution_steps": ["Divide: -7203 / 6449 = -7203/6449", "Add: -7203/6449 + (-6089) = -39275164/6449"], "final_answer": "-39275164/6449", "answer_type": "rational", "kind": "expression", "math_text": "-7203 / 6449 + (-6089)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7203, \"b\": 6449, \"c\": -6089}", "seed": "13969853431637282934", "semantic_fingerprint": "sha256:5146e8e66c1863b193adc59bea7e893e39ca236ea4b2ff04e57daf05fb6d9170", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002075", "prompt": "What value of x satisfies x + 6208 = 27(x + 2755) - 63705?", "solution_steps": ["Expand: x + 6208 = 27x + 74385 - 63705", "Combine constants: x + 6208 = 27x + 10680", "Subtract 27x from both sides: -26x + 6208 = 10680", "Subtract 6208 from both sides: -26x = 4472", "Divide both sides by -26: x = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6208 = 27(x + 2755) - 63705", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6208, \"b\": 27, \"c\": 2755, \"e\": -63705, \"x\": -172}", "seed": "17594592654165039585", "semantic_fingerprint": "sha256:126e73aefe9c1d923b0359ae49cda153e0c23369ecedf255c01998797acca71a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002076", "prompt": "Solve the equation -21x - 83178 = x - 81704 for x.", "solution_steps": ["Subtract x from both sides: -22x - 83178 = -81704", "Add 83178 to both sides: -22x = 1474", "Divide both sides by -22: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x - 83178 = x - 81704", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 83178, \"d\": -81704, \"x\": -67}", "seed": "3577958657243002056", "semantic_fingerprint": "sha256:0118953eda90d5e59af2f2e2a035f61b13436684b82b839cf7403753f17c885d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002077", "prompt": "Evaluate: -4239 / (-84193)", "solution_steps": ["Divide: -4239 / (-84193) = 4239/84193"], "final_answer": "4239/84193", "answer_type": "rational", "kind": "expression", "math_text": "-4239 / (-84193)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4239, \"b\": -84193}", "seed": "14147296518113478836", "semantic_fingerprint": "sha256:eab7c8528f48239c20f489f365aa5d1624b189df7ab861860420ff73b866e811", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002078", "prompt": "Compute: -5638 - (-67629) - (99326 - (-7606) / (-79614 + (-3387)))", "solution_steps": ["Subtract: -5638 - (-67629) = 61991", "Add: -79614 + (-3387) = -83001", "Divide: -7606 / (-83001) = 7606/83001", "Subtract: 99326 - 7606/83001 = 8244149720/83001", "Subtract: 61991 - 8244149720/83001 = -3098834729/83001"], "final_answer": "-3098834729/83001", "answer_type": "rational", "kind": "expression", "math_text": "-5638 - (-67629) - (99326 - (-7606) / (-79614 + (-3387)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- n (/ n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5638, \"b\": -67629, \"c\": 99326, \"d\": -7606, \"e\": -79614, \"f\": -3387}", "seed": "1070676944770291045", "semantic_fingerprint": "sha256:c5bca95c18a760bb70e6e0bb10950d7f403545c40cfc567425bfe01984944fe0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002079", "prompt": "Evaluate: -8729 + 92989", "solution_steps": ["Add: -8729 + 92989 = 84260"], "final_answer": "84260", "answer_type": "integer", "kind": "expression", "math_text": "-8729 + 92989", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8729, \"b\": 92989}", "seed": "3392785972381701802", "semantic_fingerprint": "sha256:3d048d50389e75d5f6f1beef2f45d23314ee7d3f9297630b5bf5d8e2de8f988c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002080", "prompt": "What is -9258 * (-4645 + (-84462))?", "solution_steps": ["Add: -4645 + (-84462) = -89107", "Multiply: -9258 * (-89107) = 824952606"], "final_answer": "824952606", "answer_type": "integer", "kind": "expression", "math_text": "-9258 * (-4645 + (-84462))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9258, \"b\": -4645, \"c\": -84462}", "seed": "10768605074386452720", "semantic_fingerprint": "sha256:b582becc3eb8eabf4327ba9fe15a72fae912b4cf815785328b0bde10150e188d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002081", "prompt": "Calculate: (72106 - 13769) * (-16110)", "solution_steps": ["Subtract: 72106 - 13769 = 58337", "Multiply: 58337 * (-16110) = -939809070"], "final_answer": "-939809070", "answer_type": "integer", "kind": "expression", "math_text": "(72106 - 13769) * (-16110)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72106, \"b\": 13769, \"c\": -16110}", "seed": "3166026785051241350", "semantic_fingerprint": "sha256:83ec118059d2190fb87a6dec22e9d219fc6b50930a598bb287aa1c095e37985d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002082", "prompt": "Evaluate: -29824 / (-4081) + (-66998)", "solution_steps": ["Divide: -29824 / (-4081) = 29824/4081", "Add: 29824/4081 + (-66998) = -273389014/4081"], "final_answer": "-273389014/4081", "answer_type": "rational", "kind": "expression", "math_text": "-29824 / (-4081) + (-66998)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29824, \"b\": -4081, \"c\": -66998}", "seed": "8021843723286084982", "semantic_fingerprint": "sha256:00d971d0a2a738802c853e14c868aff9eae049c9d67d943e48b891b75fe1a9cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002083", "prompt": "Solve the equation 21(x + 48404) - 88746 = -86456 for x.", "solution_steps": ["Expand: 21x + 1016484 - 88746 = -86456", "Combine constants: 21x + 927738 = -86456", "Subtract 927738 from both sides: 21x = -1014194", "Divide both sides by 21: x = -1014194/21"], "final_answer": "-1014194/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 48404) - 88746 = -86456", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 48404, \"c\": 88746, \"d\": -86456}", "seed": "17056296597347051034", "semantic_fingerprint": "sha256:bcd6326066c291b46e730b24c19e871048af9d6d42889d2bbf3268ae58c82753", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002084", "prompt": "What is -9704 + 4332 * 94882?", "solution_steps": ["Multiply: 4332 * 94882 = 411028824", "Add: -9704 + 411028824 = 411019120"], "final_answer": "411019120", "answer_type": "integer", "kind": "expression", "math_text": "-9704 + 4332 * 94882", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9704, \"b\": 4332, \"c\": 94882}", "seed": "14829673224029612012", "semantic_fingerprint": "sha256:c0d4a15846130ba3259209b23f36ec3c49e158813dfba25140fb1528b4de5d25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002085", "prompt": "Calculate: (38698 - 9172) / (-9760 / (-8243))", "solution_steps": ["Subtract: 38698 - 9172 = 29526", "Divide: -9760 / (-8243) = 9760/8243", "Divide: 29526 / (9760/8243) = 121691409/4880"], "final_answer": "121691409/4880", "answer_type": "rational", "kind": "expression", "math_text": "(38698 - 9172) / (-9760 / (-8243))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38698, \"b\": 9172, \"c\": -9760, \"d\": -8243}", "seed": "12934480988800909353", "semantic_fingerprint": "sha256:3fe22e27f9dd6da01fcf05ca4095ab44d6e2bf6627bbc121fed8f91de64a72e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002086", "prompt": "What is -5692 - (-77357 + 1415) - (-1778)?", "solution_steps": ["Add: -77357 + 1415 = -75942", "Subtract: -5692 - (-75942) = 70250", "Subtract: 70250 - (-1778) = 72028"], "final_answer": "72028", "answer_type": "integer", "kind": "expression", "math_text": "-5692 - (-77357 + 1415) - (-1778)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5692, \"b\": -77357, \"c\": 1415, \"d\": -1778}", "seed": "16648411651841340952", "semantic_fingerprint": "sha256:5241f9e22f3ef4a36a8656d73684a043abe6ab8bd0aeccca2b8056557e8c5407", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002087", "prompt": "Calculate: (-1845 + (8872 - (-8318)) + (-19712 + 3830)) / (-5976)", "solution_steps": ["Subtract: 8872 - (-8318) = 17190", "Add: -1845 + 17190 = 15345", "Add: -19712 + 3830 = -15882", "Add: 15345 + (-15882) = -537", "Divide: -537 / (-5976) = 179/1992"], "final_answer": "179/1992", "answer_type": "rational", "kind": "expression", "math_text": "(-1845 + (8872 - (-8318)) + (-19712 + 3830)) / (-5976)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1845, \"b\": 8872, \"c\": -8318, \"d\": -19712, \"e\": 3830, \"f\": -5976}", "seed": "17123132728627885146", "semantic_fingerprint": "sha256:ca7daf43d844a2a5d966a15a2bcaf1cbf9b28cd38a19109791e0144a24b33939", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002088", "prompt": "Calculate: 6384 - 6906 + 6858", "solution_steps": ["Subtract: 6384 - 6906 = -522", "Add: -522 + 6858 = 6336"], "final_answer": "6336", "answer_type": "integer", "kind": "expression", "math_text": "6384 - 6906 + 6858", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6384, \"b\": 6906, \"c\": 6858}", "seed": "7681363380838244522", "semantic_fingerprint": "sha256:4bf6a2304227cb8e41cc6f61a2cc18f0a610d4cb7f047ef2abbf5629d03c8143", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002089", "prompt": "Evaluate: 9453 * (-47349)", "solution_steps": ["Multiply: 9453 * (-47349) = -447590097"], "final_answer": "-447590097", "answer_type": "integer", "kind": "expression", "math_text": "9453 * (-47349)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9453, \"b\": -47349}", "seed": "10047538249131105746", "semantic_fingerprint": "sha256:66a871779807089ef9d8eea01dd6165ed9e16d1a4fd61c4bff4ecf9fd3d3a717", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002090", "prompt": "Compute: 7720 * (-9438)", "solution_steps": ["Multiply: 7720 * (-9438) = -72861360"], "final_answer": "-72861360", "answer_type": "integer", "kind": "expression", "math_text": "7720 * (-9438)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7720, \"b\": -9438}", "seed": "3598206564325609426", "semantic_fingerprint": "sha256:119ada845dc556c303ccc670d8dd8b00e75a65f9624ecc4d472fb90ef5353260", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002091", "prompt": "Compute: (-67133 - (-39488)) / (79349 + (-8605))", "solution_steps": ["Subtract: -67133 - (-39488) = -27645", "Add: 79349 + (-8605) = 70744", "Divide: -27645 / 70744 = -27645/70744"], "final_answer": "-27645/70744", "answer_type": "rational", "kind": "expression", "math_text": "(-67133 - (-39488)) / (79349 + (-8605))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -67133, \"b\": -39488, \"c\": 79349, \"d\": -8605}", "seed": "15441514771287384458", "semantic_fingerprint": "sha256:a0042b63be6aa0da6c760205f2ad2e19764c3410785edc40af47f96dee9cff85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002092", "prompt": "Compute: -14481 * (-53008 + (-1100))", "solution_steps": ["Add: -53008 + (-1100) = -54108", "Multiply: -14481 * (-54108) = 783537948"], "final_answer": "783537948", "answer_type": "integer", "kind": "expression", "math_text": "-14481 * (-53008 + (-1100))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -14481, \"b\": -53008, \"c\": -1100}", "seed": "997068212210783564", "semantic_fingerprint": "sha256:e4538037e752343c0dace80857ee43992a15a06a2961fb3738cd68def8748ae8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002093", "prompt": "Solve for x: -25x - 8250 = 25x", "solution_steps": ["Subtract 25x from both sides: -50x - 8250 = 0", "Add 8250 to both sides: -50x = 8250", "Divide both sides by -50: x = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x - 8250 = 25x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 25, \"d\": -8250, \"x\": -165}", "seed": "2414332641424477672", "semantic_fingerprint": "sha256:05af32cafd903a792642fe47f9d6e401818300598f87f5319cbee9d41e22e36a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002094", "prompt": "What is 5350 * (1907 / (-4047 / (-5721)))?", "solution_steps": ["Divide: -4047 / (-5721) = 1349/1907", "Divide: 1907 / (1349/1907) = 3636649/1349", "Multiply: 5350 * (3636649/1349) = 19456072150/1349"], "final_answer": "19456072150/1349", "answer_type": "rational", "kind": "expression", "math_text": "5350 * (1907 / (-4047 / (-5721)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5350, \"b\": 1907, \"c\": -4047, \"d\": -5721}", "seed": "10114231310387770528", "semantic_fingerprint": "sha256:b21a3911110259ec6673d01670109e3b4682ee784aa734be3606406d730b2a2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002095", "prompt": "What is (-1027 - 19257) * 3346?", "solution_steps": ["Subtract: -1027 - 19257 = -20284", "Multiply: -20284 * 3346 = -67870264"], "final_answer": "-67870264", "answer_type": "integer", "kind": "expression", "math_text": "(-1027 - 19257) * 3346", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1027, \"b\": 19257, \"c\": 3346}", "seed": "1993420197381903243", "semantic_fingerprint": "sha256:722f48bda44991f5c5e6351cf5b7659029ba665149b93bfe09944ca361973057", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002096", "prompt": "What value of x satisfies -30x - 4053 = 35(x - 16011) - 2574?", "solution_steps": ["Expand: -30x - 4053 = 35x - 560385 - 2574", "Combine constants: -30x - 4053 = 35x - 562959", "Subtract 35x from both sides: -65x - 4053 = -562959", "Add 4053 to both sides: -65x = -558906", "Divide both sides by -65: x = 558906/65"], "final_answer": "558906/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30x - 4053 = 35(x - 16011) - 2574", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 4053, \"c\": 35, \"d\": 16011, \"e\": 2574}", "seed": "9840242448863779829", "semantic_fingerprint": "sha256:a7c455b8e084bb14ed6424f286c00c54e57b7219724498e28d0178d358582d40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002097", "prompt": "Evaluate: 6513 * (-2073) * (-47651) / 85842", "solution_steps": ["Multiply: 6513 * (-2073) = -13501449", "Multiply: -13501449 * (-47651) = 643357546299", "Divide: 643357546299 / 85842 = 71484171811/9538"], "final_answer": "71484171811/9538", "answer_type": "rational", "kind": "expression", "math_text": "6513 * (-2073) * (-47651) / 85842", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6513, \"b\": -2073, \"c\": -47651, \"d\": 85842}", "seed": "14576776199866281837", "semantic_fingerprint": "sha256:9be9cb0f1b7a4fb69c4fa1fe30d6f3ffe5d37314b73b6c24b5654f038f35eb57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002098", "prompt": "Find x: x - 10387 = 31x - 15007", "solution_steps": ["Subtract 31x from both sides: -30x - 10387 = -15007", "Add 10387 to both sides: -30x = -4620", "Divide both sides by -30: x = 154"], "final_answer": "154", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 10387 = 31x - 15007", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10387, \"b\": 31, \"d\": -15007, \"x\": 154}", "seed": "9923483530386713705", "semantic_fingerprint": "sha256:7de36bf55c56be7a0ba7ddf6db6d417fc47a89d01a4904eec899a92fd5f50a68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002099", "prompt": "What is 69732 + 2298?", "solution_steps": ["Add: 69732 + 2298 = 72030"], "final_answer": "72030", "answer_type": "integer", "kind": "expression", "math_text": "69732 + 2298", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69732, \"b\": 2298}", "seed": "13675677481554061942", "semantic_fingerprint": "sha256:42f10dfa2bf22c29ea507ee48759221f88779416fef315c60aaccafeabf908c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002100", "prompt": "Calculate: 5442 + (4223 - (-41806))", "solution_steps": ["Subtract: 4223 - (-41806) = 46029", "Add: 5442 + 46029 = 51471"], "final_answer": "51471", "answer_type": "integer", "kind": "expression", "math_text": "5442 + (4223 - (-41806))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5442, \"b\": 4223, \"c\": -41806}", "seed": "11774447401920392376", "semantic_fingerprint": "sha256:a8304c9739fbbacf6551213a35b0b10c7d1898f5ae2f92606f3eba62af4e72ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002101", "prompt": "Compute: ((-3299 - (-6037)) * 1804 + (-50242)) * (-9258)", "solution_steps": ["Subtract: -3299 - (-6037) = 2738", "Multiply: 2738 * 1804 = 4939352", "Add: 4939352 + (-50242) = 4889110", "Multiply: 4889110 * (-9258) = -45263380380"], "final_answer": "-45263380380", "answer_type": "integer", "kind": "expression", "math_text": "((-3299 - (-6037)) * 1804 + (-50242)) * (-9258)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3299, \"b\": -6037, \"c\": 1804, \"d\": -50242, \"e\": -9258}", "seed": "12284377338167237096", "semantic_fingerprint": "sha256:ed9f5c13bdb31f610fd6fa085c9bd766161fc016e316a1e1a5f15b54be559852", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002102", "prompt": "Compute: -7745 / (-2979) + 4369", "solution_steps": ["Divide: -7745 / (-2979) = 7745/2979", "Add: 7745/2979 + 4369 = 13022996/2979"], "final_answer": "13022996/2979", "answer_type": "rational", "kind": "expression", "math_text": "-7745 / (-2979) + 4369", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7745, \"b\": -2979, \"c\": 4369}", "seed": "16839704880655782174", "semantic_fingerprint": "sha256:67235ac9353dddc6bcf803a20fba0f693a5cc935426729d1082384f7e6686380", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002103", "prompt": "Calculate: -9937 - 9900", "solution_steps": ["Subtract: -9937 - 9900 = -19837"], "final_answer": "-19837", "answer_type": "integer", "kind": "expression", "math_text": "-9937 - 9900", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9937, \"b\": 9900}", "seed": "3898804388578553497", "semantic_fingerprint": "sha256:67f9cf7c413b719f28817ea0b424d97b9ccf8644ab8eff4442eaeaa2a95b27f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002104", "prompt": "Evaluate: 84088 - 2304 + 1791", "solution_steps": ["Subtract: 84088 - 2304 = 81784", "Add: 81784 + 1791 = 83575"], "final_answer": "83575", "answer_type": "integer", "kind": "expression", "math_text": "84088 - 2304 + 1791", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84088, \"b\": 2304, \"c\": 1791}", "seed": "1770117442507289426", "semantic_fingerprint": "sha256:c1a182037bfa68e325c918e3837c0ec575c137f060986270cf688bac9823dbc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002105", "prompt": "What value of x satisfies -13(x + 5138) + 5379 = -59556?", "solution_steps": ["Expand: -13x - 66794 + 5379 = -59556", "Combine constants: -13x - 61415 = -59556", "Add 61415 to both sides: -13x = 1859", "Divide both sides by -13: x = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x + 5138) + 5379 = -59556", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5138, \"c\": 5379, \"e\": -59556, \"x\": -143}", "seed": "15097297398745419090", "semantic_fingerprint": "sha256:c05d96a29cdcba2f5b18723d8d164a53997030d91df57172c711318bce189fe3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002106", "prompt": "Evaluate: 8070 * (-5727) - 7271 / 9179", "solution_steps": ["Multiply: 8070 * (-5727) = -46216890", "Divide: 7271 / 9179 = 7271/9179", "Subtract: -46216890 - 7271/9179 = -424224840581/9179"], "final_answer": "-424224840581/9179", "answer_type": "rational", "kind": "expression", "math_text": "8070 * (-5727) - 7271 / 9179", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8070, \"b\": -5727, \"c\": 7271, \"d\": 9179}", "seed": "14153504651825510305", "semantic_fingerprint": "sha256:b8519c3f4911ed616d16187e114e5835334af66ae50db800d9d9e04c3e2ce924", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002107", "prompt": "Solve the equation 22(x + 5476) - 2408 = 35(x + 3309) for x.", "solution_steps": ["Expand: 22x + 120472 - 2408 = 35(x + 3309)", "Expand: 22x + 120472 - 2408 = 35x + 115815", "Combine constants: 22x + 118064 = 35x + 115815", "Subtract 35x from both sides: -13x + 118064 = 115815", "Subtract 118064 from both sides: -13x = -2249", "Divide both sides by -13: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 5476) - 2408 = 35(x + 3309)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5476, \"c\": 35, \"d\": 3309, \"f\": -2408, \"x\": 173}", "seed": "11591519324758040058", "semantic_fingerprint": "sha256:1036adc3aee017fccfea70a735be37fcfa781503741a64562d36ba36c8d2e76c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002108", "prompt": "What value of x satisfies 13x + 56877 = 16(x + 40715) - 4028?", "solution_steps": ["Expand: 13x + 56877 = 16x + 651440 - 4028", "Combine constants: 13x + 56877 = 16x + 647412", "Subtract 16x from both sides: -3x + 56877 = 647412", "Subtract 56877 from both sides: -3x = 590535", "Divide both sides by -3: x = -196845"], "final_answer": "-196845", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 56877 = 16(x + 40715) - 4028", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 56877, \"c\": 16, \"d\": 40715, \"e\": 4028}", "seed": "4068274396709169123", "semantic_fingerprint": "sha256:526e0fab9103a646ad2edd604e9f7422b10af94b4341cd0e081fc5803f8266dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002109", "prompt": "Calculate: -38820 - (52244 - (-33968) * 3481)", "solution_steps": ["Multiply: -33968 * 3481 = -118242608", "Subtract: 52244 - (-118242608) = 118294852", "Subtract: -38820 - 118294852 = -118333672"], "final_answer": "-118333672", "answer_type": "integer", "kind": "expression", "math_text": "-38820 - (52244 - (-33968) * 3481)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38820, \"b\": 52244, \"c\": -33968, \"d\": 3481}", "seed": "8956791977763403726", "semantic_fingerprint": "sha256:d376fe61d5251d2f92bc69ae634da0567a03a0693b94f8387457503a05ebbd4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002110", "prompt": "Evaluate: 6083 / (5072 + (-16042))", "solution_steps": ["Add: 5072 + (-16042) = -10970", "Divide: 6083 / (-10970) = -6083/10970"], "final_answer": "-6083/10970", "answer_type": "rational", "kind": "expression", "math_text": "6083 / (5072 + (-16042))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6083, \"b\": 5072, \"c\": -16042}", "seed": "9500726939577844185", "semantic_fingerprint": "sha256:59d02ae84bbdc052bc99ed8176da5e20dfe67e767b26f1e9fb4b38ca2c04c68c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002111", "prompt": "What value of x satisfies x + 6048 = -36(x + 2207)?", "solution_steps": ["Expand: x + 6048 = -36x - 79452", "Add 36x to both sides: 37x + 6048 = -79452", "Subtract 6048 from both sides: 37x = -85500", "Divide both sides by 37: x = -85500/37"], "final_answer": "-85500/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6048 = -36(x + 2207)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6048, \"b\": -36, \"c\": 2207}", "seed": "7064252832902854687", "semantic_fingerprint": "sha256:18af65303b48dc32f39561c24e76062b66efbf9484c5325d7d9c5a89d5445057", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002112", "prompt": "Evaluate: -9135 * (34099 + (-39873) + 8421 - 65734)", "solution_steps": ["Add: 34099 + (-39873) = -5774", "Add: -5774 + 8421 = 2647", "Subtract: 2647 - 65734 = -63087", "Multiply: -9135 * (-63087) = 576299745"], "final_answer": "576299745", "answer_type": "integer", "kind": "expression", "math_text": "-9135 * (34099 + (-39873) + 8421 - 65734)", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9135, \"b\": 34099, \"c\": -39873, \"d\": 8421, \"e\": 65734}", "seed": "1192796565838195193", "semantic_fingerprint": "sha256:75dde5225ac904976b6803dfb16062b0e32e09f102f23680057118fb9c9deff5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002113", "prompt": "Solve for x: 18x - 3570 = -31x + 3095", "solution_steps": ["Add 31x to both sides: 49x - 3570 = 3095", "Add 3570 to both sides: 49x = 6665", "Divide both sides by 49: x = 6665/49"], "final_answer": "6665/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x - 3570 = -31x + 3095", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3570, \"c\": -31, \"d\": 3095}", "seed": "11433367484096855007", "semantic_fingerprint": "sha256:e267463514378647c522cea488b937073ad26a0517526c29f1c4eacaf365f927", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002114", "prompt": "Compute: 55111 + 4929 + 8870", "solution_steps": ["Add: 55111 + 4929 = 60040", "Add: 60040 + 8870 = 68910"], "final_answer": "68910", "answer_type": "integer", "kind": "expression", "math_text": "55111 + 4929 + 8870", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55111, \"b\": 4929, \"c\": 8870}", "seed": "17951760813068356819", "semantic_fingerprint": "sha256:9cbace1518f5af01f000dcb1b359fe54c8e7a4d835dd5a85c78c7dc97f80fe8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002115", "prompt": "What is -7180 + (-5393)?", "solution_steps": ["Add: -7180 + (-5393) = -12573"], "final_answer": "-12573", "answer_type": "integer", "kind": "expression", "math_text": "-7180 + (-5393)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7180, \"b\": -5393}", "seed": "352658557149203985", "semantic_fingerprint": "sha256:49cd7a77ce4ba4c21194120ea56fab36aa010760ce4819a48a0f945e4b240734", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002116", "prompt": "Solve the equation 28(x + 7913) + 13212 = x for x.", "solution_steps": ["Expand: 28x + 221564 + 13212 = x", "Combine constants: 28x + 234776 = x", "Subtract x from both sides: 27x + 234776 = 0", "Subtract 234776 from both sides: 27x = -234776", "Divide both sides by 27: x = -234776/27"], "final_answer": "-234776/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 7913) + 13212 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 7913, \"c\": 13212}", "seed": "12333544130417853521", "semantic_fingerprint": "sha256:ad17fa151eca32282e60c86ee1055f522ad8c2b06c3fbc21a940544977523f95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002117", "prompt": "Calculate: 68262 / (-17332) - (-8362)", "solution_steps": ["Divide: 68262 / (-17332) = -34131/8666", "Subtract: -34131/8666 - (-8362) = 72430961/8666"], "final_answer": "72430961/8666", "answer_type": "rational", "kind": "expression", "math_text": "68262 / (-17332) - (-8362)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68262, \"b\": -17332, \"c\": -8362}", "seed": "10551327386602111657", "semantic_fingerprint": "sha256:9c6a26944057a5c56a9cfda8ba6359fb40f2b8ac2efb9d21fe8dd2cefb300fef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002118", "prompt": "Evaluate: 78322 / (-24936 - 30987)", "solution_steps": ["Subtract: -24936 - 30987 = -55923", "Divide: 78322 / (-55923) = -78322/55923"], "final_answer": "-78322/55923", "answer_type": "rational", "kind": "expression", "math_text": "78322 / (-24936 - 30987)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78322, \"b\": -24936, \"c\": 30987}", "seed": "7624112884056173140", "semantic_fingerprint": "sha256:9b529113b8b4acc0ddfa1fc774484c2ae3988fad1d3a9973ac9ffe9d039cf851", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002119", "prompt": "What value of x satisfies 37x = 25x?", "solution_steps": ["Subtract 25x from both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = 25x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 25}", "seed": "3152643830211236244", "semantic_fingerprint": "sha256:7d6467645221e3c4c5f50337cc0393b63a029563f8a32fe4ee0841fb36fcc9eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002120", "prompt": "Evaluate: (79465 + (-24522)) * (-93005) / (7630 + 7489)", "solution_steps": ["Add: 79465 + (-24522) = 54943", "Multiply: 54943 * (-93005) = -5109973715", "Add: 7630 + 7489 = 15119", "Divide: -5109973715 / 15119 = -5109973715/15119"], "final_answer": "-5109973715/15119", "answer_type": "rational", "kind": "expression", "math_text": "(79465 + (-24522)) * (-93005) / (7630 + 7489)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 79465, \"b\": -24522, \"c\": -93005, \"d\": 7630, \"e\": 7489}", "seed": "1127849364038970183", "semantic_fingerprint": "sha256:3494b460865cbc718cd1cb6caced641403940636126f4cfee74f1f82fd61b03e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002121", "prompt": "Evaluate: -6336 + 6561", "solution_steps": ["Add: -6336 + 6561 = 225"], "final_answer": "225", "answer_type": "integer", "kind": "expression", "math_text": "-6336 + 6561", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6336, \"b\": 6561}", "seed": "14696345675621956956", "semantic_fingerprint": "sha256:ce8ac80a8d3e349f958bdb6af5a5b13f94da512233e14ef60d5e1fd10b4a71f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002122", "prompt": "What value of x satisfies -39(x - 53638) = x?", "solution_steps": ["Expand: -39x + 2091882 = x", "Subtract x from both sides: -40x + 2091882 = 0", "Subtract 2091882 from both sides: -40x = -2091882", "Divide both sides by -40: x = 1045941/20"], "final_answer": "1045941/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 53638) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 53638}", "seed": "6406334537162553900", "semantic_fingerprint": "sha256:9c017b6e55279e25ef1866a4995d52a55f5c9003e1bb3c797b02ba30af2762b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002123", "prompt": "Calculate: -7560 * (-4789)", "solution_steps": ["Multiply: -7560 * (-4789) = 36204840"], "final_answer": "36204840", "answer_type": "integer", "kind": "expression", "math_text": "-7560 * (-4789)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7560, \"b\": -4789}", "seed": "16074024601495468092", "semantic_fingerprint": "sha256:0e28686fa622b2e6635b58752d45a348f03637a0784dbe4f36eb32b9cbbc58ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002124", "prompt": "What value of x satisfies x - 67972 = -13(x + 5318)?", "solution_steps": ["Expand: x - 67972 = -13x - 69134", "Add 13x to both sides: 14x - 67972 = -69134", "Add 67972 to both sides: 14x = -1162", "Divide both sides by 14: x = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 67972 = -13(x + 5318)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5318, \"d\": -67972, \"x\": -83}", "seed": "560396457626836673", "semantic_fingerprint": "sha256:d224ac34439c433fcd1d025af6e988f409a2285d6c9ae2b7f4ff8a8507ceea7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002125", "prompt": "What is -8975 / 27328?", "solution_steps": ["Divide: -8975 / 27328 = -8975/27328"], "final_answer": "-8975/27328", "answer_type": "rational", "kind": "expression", "math_text": "-8975 / 27328", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8975, \"b\": 27328}", "seed": "10357509146648938829", "semantic_fingerprint": "sha256:ae23abf30b5f9134e849c2d2ad1ac47ebaa0d85e67bbaf709d1a1b010fceedd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002126", "prompt": "Solve for x: x - 13235 = 33x - 10419", "solution_steps": ["Subtract 33x from both sides: -32x - 13235 = -10419", "Add 13235 to both sides: -32x = 2816", "Divide both sides by -32: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 13235 = 33x - 10419", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13235, \"b\": 33, \"d\": -10419, \"x\": -88}", "seed": "13747239245926721699", "semantic_fingerprint": "sha256:f23497e807460e3d6c41ec0e78b7bf959a81eb4f9c9946aebbcbbd08c447c3ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002127", "prompt": "What is (1707 + (-16578) + 6322) / (-60340)?", "solution_steps": ["Add: 1707 + (-16578) = -14871", "Add: -14871 + 6322 = -8549", "Divide: -8549 / (-60340) = 8549/60340"], "final_answer": "8549/60340", "answer_type": "rational", "kind": "expression", "math_text": "(1707 + (-16578) + 6322) / (-60340)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1707, \"b\": -16578, \"c\": 6322, \"d\": -60340}", "seed": "11685535603793545122", "semantic_fingerprint": "sha256:c383d9492771ea367ad1dc6eed1da9ced33a8badb4b781f744594d480864efcd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002128", "prompt": "Solve the equation x = 21x + 3160 for x.", "solution_steps": ["Subtract 21x from both sides: -20x = 3160", "Divide both sides by -20: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 21x + 3160", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"c\": 3160, \"x\": -158}", "seed": "12761863183763644428", "semantic_fingerprint": "sha256:a82d98959d64ef6613b59f2dfeaa013df9d3a17e4e1e5216b9dee2b7f6e842b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002129", "prompt": "What is -1480 / (-8165) - (-4390) * 16202?", "solution_steps": ["Divide: -1480 / (-8165) = 296/1633", "Multiply: -4390 * 16202 = -71126780", "Subtract: 296/1633 - (-71126780) = 116150032036/1633"], "final_answer": "116150032036/1633", "answer_type": "rational", "kind": "expression", "math_text": "-1480 / (-8165) - (-4390) * 16202", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1480, \"b\": -8165, \"c\": -4390, \"d\": 16202}", "seed": "1858828234769649480", "semantic_fingerprint": "sha256:26b4c57215a96ad583c6d8d5d71fd7d5e8773426253b175b4de689c6add42cd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002130", "prompt": "Evaluate: (-45967 - (-3929) / (-1674)) * (-7580)", "solution_steps": ["Divide: -3929 / (-1674) = 3929/1674", "Subtract: -45967 - 3929/1674 = -76952687/1674", "Multiply: (-76952687/1674) * (-7580) = 291650683730/837"], "final_answer": "291650683730/837", "answer_type": "rational", "kind": "expression", "math_text": "(-45967 - (-3929) / (-1674)) * (-7580)", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45967, \"b\": -3929, \"c\": -1674, \"d\": -7580}", "seed": "4705175886506281157", "semantic_fingerprint": "sha256:da442def2e7f2bb6059338aae7e63e5a5519bade01aba97f198735e84f3815bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002131", "prompt": "Evaluate: -4249 + 84343 - 6875 * (-54357 - (-5978))", "solution_steps": ["Add: -4249 + 84343 = 80094", "Subtract: -54357 - (-5978) = -48379", "Multiply: 6875 * (-48379) = -332605625", "Subtract: 80094 - (-332605625) = 332685719"], "final_answer": "332685719", "answer_type": "integer", "kind": "expression", "math_text": "-4249 + 84343 - 6875 * (-54357 - (-5978))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4249, \"b\": 84343, \"c\": 6875, \"d\": -54357, \"e\": -5978}", "seed": "14861978550864272053", "semantic_fingerprint": "sha256:4ee481f1486744099ecd880453ffcfba241edb5f83f89a4212da7c1a19ed1dc0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002132", "prompt": "Compute: -5081 / 58062 * (-6342 - 4457)", "solution_steps": ["Divide: -5081 / 58062 = -5081/58062", "Subtract: -6342 - 4457 = -10799", "Multiply: (-5081/58062) * (-10799) = 54869719/58062"], "final_answer": "54869719/58062", "answer_type": "rational", "kind": "expression", "math_text": "-5081 / 58062 * (-6342 - 4457)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5081, \"b\": 58062, \"c\": -6342, \"d\": 4457}", "seed": "10011121832831785604", "semantic_fingerprint": "sha256:4c82b28726aec91d08776b1d9c61b3910d4e68e8868dc8e5d7246a304c84bec7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002133", "prompt": "Compute: -7531 - (-81813)", "solution_steps": ["Subtract: -7531 - (-81813) = 74282"], "final_answer": "74282", "answer_type": "integer", "kind": "expression", "math_text": "-7531 - (-81813)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7531, \"b\": -81813}", "seed": "118089914137594107", "semantic_fingerprint": "sha256:ff9883ebfc5af3fbfb4a17fe317ac9decb23d6dc0986c9138c2fe8f4c707759f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002134", "prompt": "What value of x satisfies 29(x - 3370) + 1084 = 14x?", "solution_steps": ["Expand: 29x - 97730 + 1084 = 14x", "Combine constants: 29x - 96646 = 14x", "Subtract 14x from both sides: 15x - 96646 = 0", "Add 96646 to both sides: 15x = 96646", "Divide both sides by 15: x = 96646/15"], "final_answer": "96646/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 3370) + 1084 = 14x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 3370, \"c\": 1084, \"d\": 14}", "seed": "15958294368618452616", "semantic_fingerprint": "sha256:f2535da60a17308c833d5d4b343ad9f5a7e6f7dd274d486715046e9c224b52a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002135", "prompt": "Evaluate: -5492 - (-3166) * (44061 - 35372)", "solution_steps": ["Subtract: 44061 - 35372 = 8689", "Multiply: -3166 * 8689 = -27509374", "Subtract: -5492 - (-27509374) = 27503882"], "final_answer": "27503882", "answer_type": "integer", "kind": "expression", "math_text": "-5492 - (-3166) * (44061 - 35372)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5492, \"b\": -3166, \"c\": 44061, \"d\": 35372}", "seed": "6788905159929532392", "semantic_fingerprint": "sha256:1fe5b93100b15aa93887fd10edb79e36840090d03c43624e0137e7c794fa8403", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002136", "prompt": "Find x: 37(x + 26450) + 43996 = -24(x - 4841) - 8063", "solution_steps": ["Expand: 37x + 978650 + 43996 = -24(x - 4841) - 8063", "Expand: 37x + 978650 + 43996 = -24x + 116184 - 8063", "Combine constants: 37x + 1022646 = -24x + 116184 - 8063", "Combine constants: 37x + 1022646 = -24x + 108121", "Add 24x to both sides: 61x + 1022646 = 108121", "Subtract 1022646 from both sides: 61x = -914525", "Divide both sides by 61: x = -914525/61"], "final_answer": "-914525/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 26450) + 43996 = -24(x - 4841) - 8063", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 26450, \"c\": 43996, \"d\": -24, \"e\": 4841, \"f\": 8063}", "seed": "8778661120564430843", "semantic_fingerprint": "sha256:fc7f934dddee879eebef158f23b26a447852bc2d90ad4905d76109dee20a068e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002137", "prompt": "Calculate: 6110 / (-2779 - (32111 + 98684))", "solution_steps": ["Add: 32111 + 98684 = 130795", "Subtract: -2779 - 130795 = -133574", "Divide: 6110 / (-133574) = -65/1421"], "final_answer": "-65/1421", "answer_type": "rational", "kind": "expression", "math_text": "6110 / (-2779 - (32111 + 98684))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6110, \"b\": -2779, \"c\": 32111, \"d\": 98684}", "seed": "16585322081177987167", "semantic_fingerprint": "sha256:46e211f8efc86b1fd9af636f5a3825636bf74f8f26074589d145426eb034e04f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002138", "prompt": "What is -6673 * (-4365) - (-83310 - (-68840) * (-2428))?", "solution_steps": ["Multiply: -6673 * (-4365) = 29127645", "Multiply: -68840 * (-2428) = 167143520", "Subtract: -83310 - 167143520 = -167226830", "Subtract: 29127645 - (-167226830) = 196354475"], "final_answer": "196354475", "answer_type": "integer", "kind": "expression", "math_text": "-6673 * (-4365) - (-83310 - (-68840) * (-2428))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6673, \"b\": -4365, \"c\": -83310, \"d\": -68840, \"e\": -2428}", "seed": "10941393610030270367", "semantic_fingerprint": "sha256:730df8e17c92a4ab589bdae7b441ac379c3613b99fd21b6cc0a7af13dbd6f6b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002139", "prompt": "Calculate: (-1501 - (-72656)) / (-28273)", "solution_steps": ["Subtract: -1501 - (-72656) = 71155", "Divide: 71155 / (-28273) = -10165/4039"], "final_answer": "-10165/4039", "answer_type": "rational", "kind": "expression", "math_text": "(-1501 - (-72656)) / (-28273)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1501, \"b\": -72656, \"c\": -28273}", "seed": "3075946879193326302", "semantic_fingerprint": "sha256:b1a592d561d4ba8a4e3c470056f54b407edba25ff2eed0db7a508796c72f1343", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002140", "prompt": "Find x: 35(x + 8180) = 36(x - 4664)", "solution_steps": ["Expand: 35x + 286300 = 36(x - 4664)", "Expand: 35x + 286300 = 36x - 167904", "Subtract 36x from both sides: -x + 286300 = -167904", "Subtract 286300 from both sides: -x = -454204", "Divide both sides by -1: x = 454204"], "final_answer": "454204", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 8180) = 36(x - 4664)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 8180, \"c\": 36, \"d\": 4664}", "seed": "12535655674813684655", "semantic_fingerprint": "sha256:277b39ae268829033c40112c4661d3119fa5c1e66b077d8b1e7bd97aaeaa1c5e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002141", "prompt": "What is 75786 - 8019?", "solution_steps": ["Subtract: 75786 - 8019 = 67767"], "final_answer": "67767", "answer_type": "integer", "kind": "expression", "math_text": "75786 - 8019", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 75786, \"b\": 8019}", "seed": "8286136635725641693", "semantic_fingerprint": "sha256:4e84f8c1172bf39c6935f2589176fd50b5dc6c632edc4026c7d22715ca39007e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002142", "prompt": "What is -7209 + 5838?", "solution_steps": ["Add: -7209 + 5838 = -1371"], "final_answer": "-1371", "answer_type": "integer", "kind": "expression", "math_text": "-7209 + 5838", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7209, \"b\": 5838}", "seed": "13633296663183673280", "semantic_fingerprint": "sha256:47e359c4ece6d1222b6c2a9df958485769335d8cf0a12293fcb3ba1840073c5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002143", "prompt": "What is (-2314 - (-8291)) * 7875?", "solution_steps": ["Subtract: -2314 - (-8291) = 5977", "Multiply: 5977 * 7875 = 47068875"], "final_answer": "47068875", "answer_type": "integer", "kind": "expression", "math_text": "(-2314 - (-8291)) * 7875", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2314, \"b\": -8291, \"c\": 7875}", "seed": "7438166973887619336", "semantic_fingerprint": "sha256:1b70bab13859426e3ea70b391cc6728c117d0b1c09a143afe5029d59e7398b75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002144", "prompt": "Evaluate: (98253 + (-5495)) * (-3469)", "solution_steps": ["Add: 98253 + (-5495) = 92758", "Multiply: 92758 * (-3469) = -321777502"], "final_answer": "-321777502", "answer_type": "integer", "kind": "expression", "math_text": "(98253 + (-5495)) * (-3469)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98253, \"b\": -5495, \"c\": -3469}", "seed": "3885755639520832724", "semantic_fingerprint": "sha256:f5cc2b3b35ca6a5e19785e5ff9b08947cf59665e56ffc7d5bc3fbd8b5d6b952f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002145", "prompt": "Calculate: 96659 * (97946 + (-2320)) / (-9359)", "solution_steps": ["Add: 97946 + (-2320) = 95626", "Multiply: 96659 * 95626 = 9243113534", "Divide: 9243113534 / (-9359) = -9243113534/9359"], "final_answer": "-9243113534/9359", "answer_type": "rational", "kind": "expression", "math_text": "96659 * (97946 + (-2320)) / (-9359)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96659, \"b\": 97946, \"c\": -2320, \"d\": -9359}", "seed": "6953637170699786746", "semantic_fingerprint": "sha256:3e0c20b1e901b1389639ad309539d3a828ada4beeabf9ca5482ee18b552f9dcc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002146", "prompt": "Evaluate: -3855 - 43617 + (-54403 - 50924)", "solution_steps": ["Subtract: -3855 - 43617 = -47472", "Subtract: -54403 - 50924 = -105327", "Add: -47472 + (-105327) = -152799"], "final_answer": "-152799", "answer_type": "integer", "kind": "expression", "math_text": "-3855 - 43617 + (-54403 - 50924)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3855, \"b\": 43617, \"c\": -54403, \"d\": 50924}", "seed": "13760537109424565855", "semantic_fingerprint": "sha256:df1db8899679a770e6e4ae7908237bd4dad1c84802a5c7a2d0b1b207f951c773", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002147", "prompt": "Find x: 13(x - 3221) = 36x", "solution_steps": ["Expand: 13x - 41873 = 36x", "Subtract 36x from both sides: -23x - 41873 = 0", "Add 41873 to both sides: -23x = 41873", "Divide both sides by -23: x = -41873/23"], "final_answer": "-41873/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 3221) = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 3221, \"c\": 36}", "seed": "17858206521491519389", "semantic_fingerprint": "sha256:52b6b1cad5a1fd825dc3b060f625c95e21dfb5b9d7f2d2f0866cc0eb4f9a9f08", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002148", "prompt": "Evaluate: 1986 + (-6751) - (-17806)", "solution_steps": ["Add: 1986 + (-6751) = -4765", "Subtract: -4765 - (-17806) = 13041"], "final_answer": "13041", "answer_type": "integer", "kind": "expression", "math_text": "1986 + (-6751) - (-17806)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1986, \"b\": -6751, \"c\": -17806}", "seed": "2966762958344534824", "semantic_fingerprint": "sha256:8dd9c38af0f877010db3e17c8c5077a286d1f31ac0e4fa4c57e3584d89cad2ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002149", "prompt": "What is -33014 * 82991?", "solution_steps": ["Multiply: -33014 * 82991 = -2739864874"], "final_answer": "-2739864874", "answer_type": "integer", "kind": "expression", "math_text": "-33014 * 82991", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33014, \"b\": 82991}", "seed": "5537622035998099046", "semantic_fingerprint": "sha256:52c2deaf14e1a94201556cd504fbd1646b83943417e79877e335849191c1a5c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002150", "prompt": "What value of x satisfies x - 48457 = 31x - 72667?", "solution_steps": ["Subtract 31x from both sides: -30x - 48457 = -72667", "Add 48457 to both sides: -30x = -24210", "Divide both sides by -30: x = 807"], "final_answer": "807", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 48457 = 31x - 72667", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48457, \"b\": 31, \"c\": 72667}", "seed": "1300609882822330704", "semantic_fingerprint": "sha256:6e025927142b2954c17e2ab0fcdc217e94a4547408ba25ad499047e51e9fd75d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002151", "prompt": "Evaluate: -81060 * (-92922)", "solution_steps": ["Multiply: -81060 * (-92922) = 7532257320"], "final_answer": "7532257320", "answer_type": "integer", "kind": "expression", "math_text": "-81060 * (-92922)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -81060, \"b\": -92922}", "seed": "3419605033026287522", "semantic_fingerprint": "sha256:f126299e2a24f32ba18fdbb5fd6c1b68ee0bfe041c6450d68cf9fdfeaef33e35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002152", "prompt": "What is (29741 + (-8525)) / 91925?", "solution_steps": ["Add: 29741 + (-8525) = 21216", "Divide: 21216 / 91925 = 21216/91925"], "final_answer": "21216/91925", "answer_type": "rational", "kind": "expression", "math_text": "(29741 + (-8525)) / 91925", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29741, \"b\": -8525, \"c\": 91925}", "seed": "5147089448291282122", "semantic_fingerprint": "sha256:36dd482b1ec792707aaff82de83bd9c52393890919adbe7ea41cabad143e310b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002153", "prompt": "What value of x satisfies 38x = x + 2553?", "solution_steps": ["Subtract x from both sides: 37x = 2553", "Divide both sides by 37: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = x + 2553", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 2553, \"x\": 69}", "seed": "2579920987481412274", "semantic_fingerprint": "sha256:2988131ed31e5f90f3029959a598ce5cd30a673da36df985f52aeae0c18cd676", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002154", "prompt": "Compute: 37248 + (6097 * (-6633) - 78475) + (3978 - 29754)", "solution_steps": ["Multiply: 6097 * (-6633) = -40441401", "Subtract: -40441401 - 78475 = -40519876", "Add: 37248 + (-40519876) = -40482628", "Subtract: 3978 - 29754 = -25776", "Add: -40482628 + (-25776) = -40508404"], "final_answer": "-40508404", "answer_type": "integer", "kind": "expression", "math_text": "37248 + (6097 * (-6633) - 78475) + (3978 - 29754)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- (* n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37248, \"b\": 6097, \"c\": -6633, \"d\": 78475, \"e\": 3978, \"f\": 29754}", "seed": "5400446688712400016", "semantic_fingerprint": "sha256:882a347337cdee619aa675846a436bd99b7ecfd3a5478c46d165858d65380982", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002155", "prompt": "Calculate: 9455 + (-30757) + 1876 - (-7080)", "solution_steps": ["Add: 9455 + (-30757) = -21302", "Add: -21302 + 1876 = -19426", "Subtract: -19426 - (-7080) = -12346"], "final_answer": "-12346", "answer_type": "integer", "kind": "expression", "math_text": "9455 + (-30757) + 1876 - (-7080)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9455, \"b\": -30757, \"c\": 1876, \"d\": -7080}", "seed": "13429625826729424538", "semantic_fingerprint": "sha256:0e242a138f0f93bff36c34cf6756c8076b52106d9b3ea8cc23f1faa7dd552c8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002156", "prompt": "Solve the equation -24x + 5893 = x + 4243 for x.", "solution_steps": ["Subtract x from both sides: -25x + 5893 = 4243", "Subtract 5893 from both sides: -25x = -1650", "Divide both sides by -25: x = 66"], "final_answer": "66", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x + 5893 = x + 4243", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 5893, \"d\": 4243, \"x\": 66}", "seed": "3595179630622488953", "semantic_fingerprint": "sha256:5b76f3ffd038fae9c5b8088d253b945056bd8d0a908edafa112d0ee5321f3e9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002157", "prompt": "What is 51676 * (-96681)?", "solution_steps": ["Multiply: 51676 * (-96681) = -4996087356"], "final_answer": "-4996087356", "answer_type": "integer", "kind": "expression", "math_text": "51676 * (-96681)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 51676, \"b\": -96681}", "seed": "16840698661348738791", "semantic_fingerprint": "sha256:71b3087f3b0215a42cff64ad71df270d6bc8cca7c03fc97c55be5a93a7492913", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002158", "prompt": "Calculate: -6275 * (-71036)", "solution_steps": ["Multiply: -6275 * (-71036) = 445750900"], "final_answer": "445750900", "answer_type": "integer", "kind": "expression", "math_text": "-6275 * (-71036)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6275, \"b\": -71036}", "seed": "4640980134820369059", "semantic_fingerprint": "sha256:ef6636db7a33a31e51db95a2d828656415ec2c3abc3859afd25500ff21958641", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002159", "prompt": "Calculate: 8384 * (-7917 - (-7069))", "solution_steps": ["Subtract: -7917 - (-7069) = -848", "Multiply: 8384 * (-848) = -7109632"], "final_answer": "-7109632", "answer_type": "integer", "kind": "expression", "math_text": "8384 * (-7917 - (-7069))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8384, \"b\": -7917, \"c\": -7069}", "seed": "10183595509595487077", "semantic_fingerprint": "sha256:062d3fe2c9f75d2225506999c86977df93ab8f88018998f707d9620e82a79153", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002160", "prompt": "Compute: 2064 * 7698 - 4348", "solution_steps": ["Multiply: 2064 * 7698 = 15888672", "Subtract: 15888672 - 4348 = 15884324"], "final_answer": "15884324", "answer_type": "integer", "kind": "expression", "math_text": "2064 * 7698 - 4348", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2064, \"b\": 7698, \"c\": 4348}", "seed": "299079340284209046", "semantic_fingerprint": "sha256:2bfc99fbe0bb7d137b59b55f86d05fd93737cacc12e66590622750519a7210c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002161", "prompt": "Evaluate: -48424 + (-7028) + (-3421)", "solution_steps": ["Add: -48424 + (-7028) = -55452", "Add: -55452 + (-3421) = -58873"], "final_answer": "-58873", "answer_type": "integer", "kind": "expression", "math_text": "-48424 + (-7028) + (-3421)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48424, \"b\": -7028, \"c\": -3421}", "seed": "15674574077996100581", "semantic_fingerprint": "sha256:8cce31b93a197b717fe7a052ec38bd07fa0106c7eeab22dab5d3610ac687d10d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002162", "prompt": "Compute: 2679 - (-67829 + 1137)", "solution_steps": ["Add: -67829 + 1137 = -66692", "Subtract: 2679 - (-66692) = 69371"], "final_answer": "69371", "answer_type": "integer", "kind": "expression", "math_text": "2679 - (-67829 + 1137)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2679, \"b\": -67829, \"c\": 1137}", "seed": "4279092565848308586", "semantic_fingerprint": "sha256:cb3ad6b65a2a86a8a8457581e40e325c9d44f3a6e8c451aa4b51100a24067ba6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002163", "prompt": "Evaluate: -63281 - (-5163)", "solution_steps": ["Subtract: -63281 - (-5163) = -58118"], "final_answer": "-58118", "answer_type": "integer", "kind": "expression", "math_text": "-63281 - (-5163)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -63281, \"b\": -5163}", "seed": "4318499267127744302", "semantic_fingerprint": "sha256:5af6eaeb7c9ddb2edf1024627145323963273a3fd52a62c933e089378076979a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002164", "prompt": "Solve the equation x - 8306 = 23x - 9780 for x.", "solution_steps": ["Subtract 23x from both sides: -22x - 8306 = -9780", "Add 8306 to both sides: -22x = -1474", "Divide both sides by -22: x = 67"], "final_answer": "67", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8306 = 23x - 9780", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8306, \"b\": 23, \"d\": -9780, \"x\": 67}", "seed": "9748418933978023897", "semantic_fingerprint": "sha256:7a58b2c7c9118f32d09c3386c8f26980d6bca7066d6b70b341d0a1d91b8a4776", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002165", "prompt": "Compute: 82353 * 2146 + (2154 + (-24687 - (-19580) - (-2591)))", "solution_steps": ["Multiply: 82353 * 2146 = 176729538", "Subtract: -24687 - (-19580) = -5107", "Subtract: -5107 - (-2591) = -2516", "Add: 2154 + (-2516) = -362", "Add: 176729538 + (-362) = 176729176"], "final_answer": "176729176", "answer_type": "integer", "kind": "expression", "math_text": "82353 * 2146 + (2154 + (-24687 - (-19580) - (-2591)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (- (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 82353, \"b\": 2146, \"c\": 2154, \"d\": -24687, \"e\": -19580, \"f\": -2591}", "seed": "14727345134411258182", "semantic_fingerprint": "sha256:76553f0fdcf00cc48c65fdb068fd0067554fa9a2c8243e823a867f19cdbe951a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002166", "prompt": "Compute: -44314 + ((-6751 + 61004) / (-4048) - 6813)", "solution_steps": ["Add: -6751 + 61004 = 54253", "Divide: 54253 / (-4048) = -54253/4048", "Subtract: -54253/4048 - 6813 = -27633277/4048", "Add: -44314 + (-27633277/4048) = -207016349/4048"], "final_answer": "-207016349/4048", "answer_type": "rational", "kind": "expression", "math_text": "-44314 + ((-6751 + 61004) / (-4048) - 6813)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -44314, \"b\": -6751, \"c\": 61004, \"d\": -4048, \"e\": 6813}", "seed": "18001578761818646977", "semantic_fingerprint": "sha256:6762e52e3eded197ce4cc4f688f3c7eebe39251a3d46ee92650761f8428c83f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002167", "prompt": "Evaluate: (54610 - 2850) / (9058 + (-2284))", "solution_steps": ["Subtract: 54610 - 2850 = 51760", "Add: 9058 + (-2284) = 6774", "Divide: 51760 / 6774 = 25880/3387"], "final_answer": "25880/3387", "answer_type": "rational", "kind": "expression", "math_text": "(54610 - 2850) / (9058 + (-2284))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 54610, \"b\": 2850, \"c\": 9058, \"d\": -2284}", "seed": "13301923720008810124", "semantic_fingerprint": "sha256:3a3625ea5f102b0bff9f6123f4499d2bcd9421f0e3346ef8529872488d55266d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002168", "prompt": "Find x: -28x = 16x", "solution_steps": ["Subtract 16x from both sides: -44x = 0", "Divide both sides by -44: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28x = 16x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 16}", "seed": "5420288840041570796", "semantic_fingerprint": "sha256:cde9840192095794687ded73e7a3f4a6823b8f00d8bcaa8c0b20080b913a568c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002169", "prompt": "What is -4492 * (-85344 - 98649 + 1454 - (-50554 + 6191))?", "solution_steps": ["Subtract: -85344 - 98649 = -183993", "Add: -183993 + 1454 = -182539", "Add: -50554 + 6191 = -44363", "Subtract: -182539 - (-44363) = -138176", "Multiply: -4492 * (-138176) = 620686592"], "final_answer": "620686592", "answer_type": "integer", "kind": "expression", "math_text": "-4492 * (-85344 - 98649 + 1454 - (-50554 + 6191))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ (- n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4492, \"b\": -85344, \"c\": 98649, \"d\": 1454, \"e\": -50554, \"f\": 6191}", "seed": "17282223363324104318", "semantic_fingerprint": "sha256:3d4f8a0bf08bb2aca74747bd6c5bc0dc192213d45a138a7d4f2bd9f3bafa2271", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002170", "prompt": "Solve for x: x - 24949 = 28x + 77260", "solution_steps": ["Subtract 28x from both sides: -27x - 24949 = 77260", "Add 24949 to both sides: -27x = 102209", "Divide both sides by -27: x = -102209/27"], "final_answer": "-102209/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 24949 = 28x + 77260", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24949, \"b\": 28, \"c\": 77260}", "seed": "17146913565979171189", "semantic_fingerprint": "sha256:c59cbe3af58609f09ecf98920310ae9aad024bdd6012c83822e899126e3ae907", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002171", "prompt": "Solve the equation 22(x + 33032) + 1309 = 39x + 8282 for x.", "solution_steps": ["Expand: 22x + 726704 + 1309 = 39x + 8282", "Combine constants: 22x + 728013 = 39x + 8282", "Subtract 39x from both sides: -17x + 728013 = 8282", "Subtract 728013 from both sides: -17x = -719731", "Divide both sides by -17: x = 719731/17"], "final_answer": "719731/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 33032) + 1309 = 39x + 8282", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 33032, \"c\": 1309, \"d\": 39, \"e\": 8282}", "seed": "12828889145148069348", "semantic_fingerprint": "sha256:668372d47bc768bf4b3e7d22aa009bc4408cec3d28c1faa5c86d5869ecbcb6a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002172", "prompt": "Solve the equation -33x = 37(x - 8687) for x.", "solution_steps": ["Expand: -33x = 37x - 321419", "Subtract 37x from both sides: -70x = -321419", "Divide both sides by -70: x = 45917/10"], "final_answer": "45917/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x = 37(x - 8687)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 37, \"c\": 8687}", "seed": "9128506450939271855", "semantic_fingerprint": "sha256:7433411dec33e0a604d326a8e0831ccfe120a894edb64fdcc38130aa340abe32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002173", "prompt": "Compute: -28151 / 20632", "solution_steps": ["Divide: -28151 / 20632 = -28151/20632"], "final_answer": "-28151/20632", "answer_type": "rational", "kind": "expression", "math_text": "-28151 / 20632", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28151, \"b\": 20632}", "seed": "8260222352348387176", "semantic_fingerprint": "sha256:13dc0e8134825d0447646f19a979a8c4fed7dcf32c24f22e77078212f12a4a96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002174", "prompt": "What is 59835 / (-12945) * (-50418)?", "solution_steps": ["Divide: 59835 / (-12945) = -3989/863", "Multiply: (-3989/863) * (-50418) = 201117402/863"], "final_answer": "201117402/863", "answer_type": "rational", "kind": "expression", "math_text": "59835 / (-12945) * (-50418)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59835, \"b\": -12945, \"c\": -50418}", "seed": "10241108191956940562", "semantic_fingerprint": "sha256:646f652ee51ee9199dd50e08e7fd4b4bb10525062d19704973ab6f6981c6320e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002175", "prompt": "Calculate: -8331 + (-7382) - (-8760)", "solution_steps": ["Add: -8331 + (-7382) = -15713", "Subtract: -15713 - (-8760) = -6953"], "final_answer": "-6953", "answer_type": "integer", "kind": "expression", "math_text": "-8331 + (-7382) - (-8760)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8331, \"b\": -7382, \"c\": -8760}", "seed": "9583734446780809827", "semantic_fingerprint": "sha256:e288f9b02a84800d9f8f026c4043ad57ae297e3da076541818e2402e9ac386b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002176", "prompt": "Solve the equation x = 22(x + 5505) for x.", "solution_steps": ["Expand: x = 22x + 121110", "Subtract 22x from both sides: -21x = 121110", "Divide both sides by -21: x = -40370/7"], "final_answer": "-40370/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 22(x + 5505)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5505}", "seed": "2515793401151950346", "semantic_fingerprint": "sha256:3468ac1e02f927732cd5afd13e29d5706e16c9fc2f5e9ea9fa1fc885c45e5f79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002177", "prompt": "Calculate: -16572 - (88260 + 3248) - 60982", "solution_steps": ["Add: 88260 + 3248 = 91508", "Subtract: -16572 - 91508 = -108080", "Subtract: -108080 - 60982 = -169062"], "final_answer": "-169062", "answer_type": "integer", "kind": "expression", "math_text": "-16572 - (88260 + 3248) - 60982", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16572, \"b\": 88260, \"c\": 3248, \"d\": 60982}", "seed": "17815922650143722371", "semantic_fingerprint": "sha256:0d9addd41645dc7c544b6688e44431c2e6661a46dd8f2a5291a60ae88a50dd44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002178", "prompt": "Solve the equation 27(x - 41257) + 24398 = x for x.", "solution_steps": ["Expand: 27x - 1113939 + 24398 = x", "Combine constants: 27x - 1089541 = x", "Subtract x from both sides: 26x - 1089541 = 0", "Add 1089541 to both sides: 26x = 1089541", "Divide both sides by 26: x = 1089541/26"], "final_answer": "1089541/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 41257) + 24398 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 41257, \"c\": 24398}", "seed": "4202882785480825936", "semantic_fingerprint": "sha256:d31302428e64d8008c8b76995ceb6e23f2d5208d24f9daf94cdd24d9f5691d49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002179", "prompt": "Calculate: 4267 * 9342", "solution_steps": ["Multiply: 4267 * 9342 = 39862314"], "final_answer": "39862314", "answer_type": "integer", "kind": "expression", "math_text": "4267 * 9342", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4267, \"b\": 9342}", "seed": "14728421341127595634", "semantic_fingerprint": "sha256:8e451a6761114ca2e75542dfff88daa082fef3da8e10ccda1ccc385cb315b7d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002180", "prompt": "Compute: 9266 / 5589 + (-5028) - 9198", "solution_steps": ["Divide: 9266 / 5589 = 9266/5589", "Add: 9266/5589 + (-5028) = -28092226/5589", "Subtract: -28092226/5589 - 9198 = -79499848/5589"], "final_answer": "-79499848/5589", "answer_type": "rational", "kind": "expression", "math_text": "9266 / 5589 + (-5028) - 9198", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9266, \"b\": 5589, \"c\": -5028, \"d\": 9198}", "seed": "5432368553249717072", "semantic_fingerprint": "sha256:5bffea8e1600446bf54da8ed444438e061bedea081238105e49c386164cc810c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002181", "prompt": "Compute: -8633 * (-49962) / (-6666)", "solution_steps": ["Multiply: -8633 * (-49962) = 431321946", "Divide: 431321946 / (-6666) = -6535181/101"], "final_answer": "-6535181/101", "answer_type": "rational", "kind": "expression", "math_text": "-8633 * (-49962) / (-6666)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8633, \"b\": -49962, \"c\": -6666}", "seed": "7771596200638986502", "semantic_fingerprint": "sha256:a55ca9a0bfc23c84b45b0388113554d651a4315814adb8137cc7ef7555ae1a61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002182", "prompt": "What value of x satisfies 29(x + 4678) - 69030 = 22(x + 36041)?", "solution_steps": ["Expand: 29x + 135662 - 69030 = 22(x + 36041)", "Expand: 29x + 135662 - 69030 = 22x + 792902", "Combine constants: 29x + 66632 = 22x + 792902", "Subtract 22x from both sides: 7x + 66632 = 792902", "Subtract 66632 from both sides: 7x = 726270", "Divide both sides by 7: x = 726270/7"], "final_answer": "726270/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 4678) - 69030 = 22(x + 36041)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4678, \"c\": 69030, \"d\": 22, \"e\": 36041}", "seed": "10671737753919999669", "semantic_fingerprint": "sha256:89f59993bb03d518680139c315b1e7a966db8d8a9d8dd78e7aa738c0826ca1b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002183", "prompt": "What is -71042 * 7689?", "solution_steps": ["Multiply: -71042 * 7689 = -546241938"], "final_answer": "-546241938", "answer_type": "integer", "kind": "expression", "math_text": "-71042 * 7689", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -71042, \"b\": 7689}", "seed": "14206380785940093018", "semantic_fingerprint": "sha256:32aed78d27efbbb942e7bf0c513fadd6d70c82c5196cc85b1d545bbb7cf40d8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002184", "prompt": "Solve the equation x - 1205 = 13(x - 2224) for x.", "solution_steps": ["Expand: x - 1205 = 13x - 28912", "Subtract 13x from both sides: -12x - 1205 = -28912", "Add 1205 to both sides: -12x = -27707", "Divide both sides by -12: x = 27707/12"], "final_answer": "27707/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1205 = 13(x - 2224)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1205, \"b\": 13, \"c\": 2224}", "seed": "14242568341312672898", "semantic_fingerprint": "sha256:90df50ede6063741ed68fc330b4e52ecf322f3e49dfb44578e6e94d7e98f46b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002185", "prompt": "What is -57288 / (7770 / 2294) * (2710 * 7313)?", "solution_steps": ["Divide: 7770 / 2294 = 105/31", "Divide: -57288 / (105/31) = -84568/5", "Multiply: 2710 * 7313 = 19818230", "Multiply: (-84568/5) * 19818230 = -335197614928"], "final_answer": "-335197614928", "answer_type": "integer", "kind": "expression", "math_text": "-57288 / (7770 / 2294) * (2710 * 7313)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -57288, \"b\": 7770, \"c\": 2294, \"d\": 2710, \"e\": 7313}", "seed": "12019018304889149717", "semantic_fingerprint": "sha256:955c870a829c7398d50f765264c6f9e2a5b8a55412f999b7be407cc0b9438926", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002186", "prompt": "Compute: (78051 + 54040 - 7702) * (-9125)", "solution_steps": ["Add: 78051 + 54040 = 132091", "Subtract: 132091 - 7702 = 124389", "Multiply: 124389 * (-9125) = -1135049625"], "final_answer": "-1135049625", "answer_type": "integer", "kind": "expression", "math_text": "(78051 + 54040 - 7702) * (-9125)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78051, \"b\": 54040, \"c\": 7702, \"d\": -9125}", "seed": "4422769958138250705", "semantic_fingerprint": "sha256:7a473c3a779b994a7762b49ebbfe899cf8ec33bfc04cb7e03b0d2d89e27ee617", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002187", "prompt": "Calculate: -27577 / 1352", "solution_steps": ["Divide: -27577 / 1352 = -27577/1352"], "final_answer": "-27577/1352", "answer_type": "rational", "kind": "expression", "math_text": "-27577 / 1352", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27577, \"b\": 1352}", "seed": "4429359769980081166", "semantic_fingerprint": "sha256:891e7f556d99dfddbb8393a3b89cb264eb3266a2ca36260c1e037695b77fff9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002188", "prompt": "Find x: 13x = 29(x - 9473) + 20949", "solution_steps": ["Expand: 13x = 29x - 274717 + 20949", "Combine constants: 13x = 29x - 253768", "Subtract 29x from both sides: -16x = -253768", "Divide both sides by -16: x = 31721/2"], "final_answer": "31721/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 29(x - 9473) + 20949", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 29, \"c\": 9473, \"d\": 20949}", "seed": "18168323612987885158", "semantic_fingerprint": "sha256:25d86147d20fc85b47fe401630c81e5878a33934a5919fe9c5e8c8d1eaee7a0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002189", "prompt": "Solve for x: x + 43038 = 13x + 45402", "solution_steps": ["Subtract 13x from both sides: -12x + 43038 = 45402", "Subtract 43038 from both sides: -12x = 2364", "Divide both sides by -12: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 43038 = 13x + 45402", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 43038, \"b\": 13, \"d\": 45402, \"x\": -197}", "seed": "16802080763096764505", "semantic_fingerprint": "sha256:d70ca6c4c462200381473e4151ba6fe59f801aa89db1ad36390087922c4af6e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002190", "prompt": "Solve the equation x = 35(x + 8238) - 5112 for x.", "solution_steps": ["Expand: x = 35x + 288330 - 5112", "Combine constants: x = 35x + 283218", "Subtract 35x from both sides: -34x = 283218", "Divide both sides by -34: x = -141609/17"], "final_answer": "-141609/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35(x + 8238) - 5112", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 8238, \"c\": 5112}", "seed": "9927049972956849401", "semantic_fingerprint": "sha256:284cd68bf60cc125c362e5c20d76ded6229a30419f5a1c3d05aea48ba5738ae2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002191", "prompt": "Compute: -59536 - (-1813)", "solution_steps": ["Subtract: -59536 - (-1813) = -57723"], "final_answer": "-57723", "answer_type": "integer", "kind": "expression", "math_text": "-59536 - (-1813)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -59536, \"b\": -1813}", "seed": "8203523764138125308", "semantic_fingerprint": "sha256:e7ecead64bb943e08181bea25c215cfc96cbe95c3ac6f48c5611d76df095f699", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002192", "prompt": "Compute: -7252 - (-5708)", "solution_steps": ["Subtract: -7252 - (-5708) = -1544"], "final_answer": "-1544", "answer_type": "integer", "kind": "expression", "math_text": "-7252 - (-5708)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7252, \"b\": -5708}", "seed": "2360037697707808379", "semantic_fingerprint": "sha256:a654ad30b1c482bd54353791ff127d1d281f67c97f67e390676af17a3424c497", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002193", "prompt": "Find x: 27(x + 28833) - 8111 = 32(x + 73584)", "solution_steps": ["Expand: 27x + 778491 - 8111 = 32(x + 73584)", "Expand: 27x + 778491 - 8111 = 32x + 2354688", "Combine constants: 27x + 770380 = 32x + 2354688", "Subtract 32x from both sides: -5x + 770380 = 2354688", "Subtract 770380 from both sides: -5x = 1584308", "Divide both sides by -5: x = -1584308/5"], "final_answer": "-1584308/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 28833) - 8111 = 32(x + 73584)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 28833, \"c\": 8111, \"d\": 32, \"e\": 73584}", "seed": "15420389502193508382", "semantic_fingerprint": "sha256:cce891a8d0c357dba484a5d39cade43e79d6177a8e02f963c07af44eaf6ff790", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002194", "prompt": "Compute: -6658 - (-68937 * (-1489 * (-6887)) - (-7141) * 2809)", "solution_steps": ["Multiply: -1489 * (-6887) = 10254743", "Multiply: -68937 * 10254743 = -706931218191", "Multiply: -7141 * 2809 = -20059069", "Subtract: -706931218191 - (-20059069) = -706911159122", "Subtract: -6658 - (-706911159122) = 706911152464"], "final_answer": "706911152464", "answer_type": "integer", "kind": "expression", "math_text": "-6658 - (-68937 * (-1489 * (-6887)) - (-7141) * 2809)", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n (* n n)) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6658, \"b\": -68937, \"c\": -1489, \"d\": -6887, \"e\": -7141, \"f\": 2809}", "seed": "7483794252997541054", "semantic_fingerprint": "sha256:93c78bdc11a60b9682236ba71bcdf409f8122d3efbdd9298cd144b03c8f110da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002195", "prompt": "Compute: -20068 / (8061 / 8623)", "solution_steps": ["Divide: 8061 / 8623 = 8061/8623", "Divide: -20068 / (8061/8623) = -173046364/8061"], "final_answer": "-173046364/8061", "answer_type": "rational", "kind": "expression", "math_text": "-20068 / (8061 / 8623)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20068, \"b\": 8061, \"c\": 8623}", "seed": "13258191264285321700", "semantic_fingerprint": "sha256:8c0f575e67c279775e5dc87175a8158c2c1238dcf59d3452fddfc37cdc1179fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002196", "prompt": "What value of x satisfies 22(x - 5852) + 23111 = 74639?", "solution_steps": ["Expand: 22x - 128744 + 23111 = 74639", "Combine constants: 22x - 105633 = 74639", "Add 105633 to both sides: 22x = 180272", "Divide both sides by 22: x = 90136/11"], "final_answer": "90136/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 5852) + 23111 = 74639", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5852, \"c\": 23111, \"d\": 74639}", "seed": "2441434553388124179", "semantic_fingerprint": "sha256:5131dea94f2f1a2b08b252546e728a8cf6bbeb6b2f3d526bd7f5f9b57d60c91c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002197", "prompt": "Evaluate: -6417 * (-58149)", "solution_steps": ["Multiply: -6417 * (-58149) = 373142133"], "final_answer": "373142133", "answer_type": "integer", "kind": "expression", "math_text": "-6417 * (-58149)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6417, \"b\": -58149}", "seed": "2006028461244392793", "semantic_fingerprint": "sha256:7efc49ef1e31f337f62b06a55d1ade333d1e12ef5f4d8f14601ea4dbfa75e9a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002198", "prompt": "Evaluate: -5871 * (-19931)", "solution_steps": ["Multiply: -5871 * (-19931) = 117014901"], "final_answer": "117014901", "answer_type": "integer", "kind": "expression", "math_text": "-5871 * (-19931)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5871, \"b\": -19931}", "seed": "746014123555164415", "semantic_fingerprint": "sha256:04791eb1e33b9886bef1caa077f275bed82b880ad8c073eeb81a9c9fc8e2b7e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002199", "prompt": "Evaluate: -5085 - (-60877) / 9305", "solution_steps": ["Divide: -60877 / 9305 = -60877/9305", "Subtract: -5085 - (-60877/9305) = -47255048/9305"], "final_answer": "-47255048/9305", "answer_type": "rational", "kind": "expression", "math_text": "-5085 - (-60877) / 9305", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5085, \"b\": -60877, \"c\": 9305}", "seed": "12934657208673222054", "semantic_fingerprint": "sha256:ceb19095217bcdd0515c3e43f477aa4e380397c9ebc4c017eb8daa1242eeb6d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002200", "prompt": "Solve the equation 21x = 40x for x.", "solution_steps": ["Subtract 40x from both sides: -19x = 0", "Divide both sides by -19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 40x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 40}", "seed": "17861096049976969940", "semantic_fingerprint": "sha256:607f72a09418a4957cdaba87e1f3ba5a9b59216f46e1ff37c1ecde5537d7090a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002201", "prompt": "What is -7694 - (-80694) + (-8239) - (-8257) * (-6156)?", "solution_steps": ["Subtract: -7694 - (-80694) = 73000", "Add: 73000 + (-8239) = 64761", "Multiply: -8257 * (-6156) = 50830092", "Subtract: 64761 - 50830092 = -50765331"], "final_answer": "-50765331", "answer_type": "integer", "kind": "expression", "math_text": "-7694 - (-80694) + (-8239) - (-8257) * (-6156)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7694, \"b\": -80694, \"c\": -8239, \"d\": -8257, \"e\": -6156}", "seed": "2455823372555033705", "semantic_fingerprint": "sha256:3a6ea2fd6a7f30e52164b66dbbb126d53214cfa8ac0158071a26ea399d777c60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002202", "prompt": "Solve for x: -40(x + 3455) - 2994 = 14(x - 5364) - 2238", "solution_steps": ["Expand: -40x - 138200 - 2994 = 14(x - 5364) - 2238", "Expand: -40x - 138200 - 2994 = 14x - 75096 - 2238", "Combine constants: -40x - 141194 = 14x - 75096 - 2238", "Combine constants: -40x - 141194 = 14x - 77334", "Subtract 14x from both sides: -54x - 141194 = -77334", "Add 141194 to both sides: -54x = 63860", "Divide both sides by -54: x = -31930/27"], "final_answer": "-31930/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 3455) - 2994 = 14(x - 5364) - 2238", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 3455, \"c\": 2994, \"d\": 14, \"e\": 5364, \"f\": 2238}", "seed": "5591145868540210949", "semantic_fingerprint": "sha256:d4672da962c2ac88ba1872c96672212e68f1efdee5511dafa1f5bcd85a839e9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002203", "prompt": "Find x: -26(x - 9619) + 46436 = x + 7753", "solution_steps": ["Expand: -26x + 250094 + 46436 = x + 7753", "Combine constants: -26x + 296530 = x + 7753", "Subtract x from both sides: -27x + 296530 = 7753", "Subtract 296530 from both sides: -27x = -288777", "Divide both sides by -27: x = 96259/9"], "final_answer": "96259/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x - 9619) + 46436 = x + 7753", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 9619, \"c\": 46436, \"d\": 7753}", "seed": "16029080622969934687", "semantic_fingerprint": "sha256:a1b2e3845171bf975971cc3fc4f03621d3949cd27d9253c2f53eb77f7f7e5144", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002204", "prompt": "Calculate: -93417 + (6983 - (-1537) * 43190) + (-7488)", "solution_steps": ["Multiply: -1537 * 43190 = -66383030", "Subtract: 6983 - (-66383030) = 66390013", "Add: -93417 + 66390013 = 66296596", "Add: 66296596 + (-7488) = 66289108"], "final_answer": "66289108", "answer_type": "integer", "kind": "expression", "math_text": "-93417 + (6983 - (-1537) * 43190) + (-7488)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -93417, \"b\": 6983, \"c\": -1537, \"d\": 43190, \"e\": -7488}", "seed": "11883764555044804469", "semantic_fingerprint": "sha256:f9a855ebcb3bdc82162ebc6a3231a59195e578c8c131d00088571bc160d06508", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002205", "prompt": "Compute: -64287 - (6245 + 37781 + (-51148)) * (-6240 + (-8911))", "solution_steps": ["Add: 6245 + 37781 = 44026", "Add: 44026 + (-51148) = -7122", "Add: -6240 + (-8911) = -15151", "Multiply: -7122 * (-15151) = 107905422", "Subtract: -64287 - 107905422 = -107969709"], "final_answer": "-107969709", "answer_type": "integer", "kind": "expression", "math_text": "-64287 - (6245 + 37781 + (-51148)) * (-6240 + (-8911))", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ (+ n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -64287, \"b\": 6245, \"c\": 37781, \"d\": -51148, \"e\": -6240, \"f\": -8911}", "seed": "7664785718327957862", "semantic_fingerprint": "sha256:683aeb0ae1c4c31c14b3513a1d7aea35eef9ab053839247e8901ab0737240936", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002206", "prompt": "Find x: x = 27(x - 9136) + 1211", "solution_steps": ["Expand: x = 27x - 246672 + 1211", "Combine constants: x = 27x - 245461", "Subtract 27x from both sides: -26x = -245461", "Divide both sides by -26: x = 245461/26"], "final_answer": "245461/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x - 9136) + 1211", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 9136, \"c\": 1211}", "seed": "12353680941297056806", "semantic_fingerprint": "sha256:b76e54993b7ff79c68a04512861ea6e786b22aa15e344f8976e0fc956109dfb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002207", "prompt": "Solve the equation x = 14(x - 3353) + 49412 for x.", "solution_steps": ["Expand: x = 14x - 46942 + 49412", "Combine constants: x = 14x + 2470", "Subtract 14x from both sides: -13x = 2470", "Divide both sides by -13: x = -190"], "final_answer": "-190", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14(x - 3353) + 49412", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3353, \"d\": 49412, \"x\": -190}", "seed": "11905559421337471919", "semantic_fingerprint": "sha256:a646522338be8c0148356cd7cb715d528607a51d169e7216cf6ba139ff2440cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002208", "prompt": "What is -73379 + (5041 - 8178) / (-3411)?", "solution_steps": ["Subtract: 5041 - 8178 = -3137", "Divide: -3137 / (-3411) = 3137/3411", "Add: -73379 + 3137/3411 = -250292632/3411"], "final_answer": "-250292632/3411", "answer_type": "rational", "kind": "expression", "math_text": "-73379 + (5041 - 8178) / (-3411)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -73379, \"b\": 5041, \"c\": 8178, \"d\": -3411}", "seed": "18443393256095137736", "semantic_fingerprint": "sha256:8a96bb17b86569ad2731cac5908d57df6cb07fd07b4995c635f28bd997147c73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002209", "prompt": "Find x: 28(x + 25423) + 5803 = 32(x - 7497) + 5014", "solution_steps": ["Expand: 28x + 711844 + 5803 = 32(x - 7497) + 5014", "Expand: 28x + 711844 + 5803 = 32x - 239904 + 5014", "Combine constants: 28x + 717647 = 32x - 239904 + 5014", "Combine constants: 28x + 717647 = 32x - 234890", "Subtract 32x from both sides: -4x + 717647 = -234890", "Subtract 717647 from both sides: -4x = -952537", "Divide both sides by -4: x = 952537/4"], "final_answer": "952537/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 25423) + 5803 = 32(x - 7497) + 5014", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 25423, \"c\": 5803, \"d\": 32, \"e\": 7497, \"f\": 5014}", "seed": "3704386842913230452", "semantic_fingerprint": "sha256:41d74a1ed468f95394facce608fbd024c3aed1d53d0e9c359f11991f0ca068f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002210", "prompt": "Calculate: -36907 + (4213 + (-2340))", "solution_steps": ["Add: 4213 + (-2340) = 1873", "Add: -36907 + 1873 = -35034"], "final_answer": "-35034", "answer_type": "integer", "kind": "expression", "math_text": "-36907 + (4213 + (-2340))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36907, \"b\": 4213, \"c\": -2340}", "seed": "5327120981278390229", "semantic_fingerprint": "sha256:475c897fd8dd0bb036c0c2e3f7f5bfc51f41dfc0e825dd794e0e86acdc74bc9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002211", "prompt": "What is -3254 / 79634?", "solution_steps": ["Divide: -3254 / 79634 = -1627/39817"], "final_answer": "-1627/39817", "answer_type": "rational", "kind": "expression", "math_text": "-3254 / 79634", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3254, \"b\": 79634}", "seed": "17373890765147761811", "semantic_fingerprint": "sha256:6f83af37c2e1463bbdf3af50f0995c6ec5c01b0ad7ddc2d4640dca03074db230", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002212", "prompt": "What is (-4728 - 3912) / (-33987) + (-49428)?", "solution_steps": ["Subtract: -4728 - 3912 = -8640", "Divide: -8640 / (-33987) = 2880/11329", "Add: 2880/11329 + (-49428) = -559966932/11329"], "final_answer": "-559966932/11329", "answer_type": "rational", "kind": "expression", "math_text": "(-4728 - 3912) / (-33987) + (-49428)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4728, \"b\": 3912, \"c\": -33987, \"d\": -49428}", "seed": "17620729907765568649", "semantic_fingerprint": "sha256:454940392c4032cea5f8dc499986721c6c47030537d96abd397d886af435e259", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002213", "prompt": "Calculate: 2349 * (-23748) - 2245 - (-96007)", "solution_steps": ["Multiply: 2349 * (-23748) = -55784052", "Subtract: -55784052 - 2245 = -55786297", "Subtract: -55786297 - (-96007) = -55690290"], "final_answer": "-55690290", "answer_type": "integer", "kind": "expression", "math_text": "2349 * (-23748) - 2245 - (-96007)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2349, \"b\": -23748, \"c\": 2245, \"d\": -96007}", "seed": "10056424644087337591", "semantic_fingerprint": "sha256:04b6334d36391fc787c4b2e76291a9fc2f9f94f45b083f140829602956663548", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002214", "prompt": "Compute: 1393 * 1377", "solution_steps": ["Multiply: 1393 * 1377 = 1918161"], "final_answer": "1918161", "answer_type": "integer", "kind": "expression", "math_text": "1393 * 1377", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1393, \"b\": 1377}", "seed": "9058059739240086778", "semantic_fingerprint": "sha256:67913f817379695587d7889c19b15e04df6a8f09543bca75c4f5c487ed45e304", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002215", "prompt": "Evaluate: 46621 / (-82088)", "solution_steps": ["Divide: 46621 / (-82088) = -46621/82088"], "final_answer": "-46621/82088", "answer_type": "rational", "kind": "expression", "math_text": "46621 / (-82088)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46621, \"b\": -82088}", "seed": "14086765590176737374", "semantic_fingerprint": "sha256:4d61a52a50eac034e2ce111cf0746a4238617486c8602584a72bac520401aaf7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002216", "prompt": "Compute: -9141 + 2524 * (-1183)", "solution_steps": ["Multiply: 2524 * (-1183) = -2985892", "Add: -9141 + (-2985892) = -2995033"], "final_answer": "-2995033", "answer_type": "integer", "kind": "expression", "math_text": "-9141 + 2524 * (-1183)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9141, \"b\": 2524, \"c\": -1183}", "seed": "12872852391561744185", "semantic_fingerprint": "sha256:ab0c0f05b641562977e08e4c059447f99a41cbacaebf859f8a549aceba8fdca1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002217", "prompt": "Evaluate: 49337 - (-12844 - (-94174))", "solution_steps": ["Subtract: -12844 - (-94174) = 81330", "Subtract: 49337 - 81330 = -31993"], "final_answer": "-31993", "answer_type": "integer", "kind": "expression", "math_text": "49337 - (-12844 - (-94174))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49337, \"b\": -12844, \"c\": -94174}", "seed": "1542212824318308691", "semantic_fingerprint": "sha256:70d71a606695d371988a890f5f1e99bbc69917a2259a1365d49b8803e409d329", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002218", "prompt": "Compute: 42816 + (83145 + (-17410)) + (-9999) - (-8637)", "solution_steps": ["Add: 83145 + (-17410) = 65735", "Add: 42816 + 65735 = 108551", "Add: 108551 + (-9999) = 98552", "Subtract: 98552 - (-8637) = 107189"], "final_answer": "107189", "answer_type": "integer", "kind": "expression", "math_text": "42816 + (83145 + (-17410)) + (-9999) - (-8637)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42816, \"b\": 83145, \"c\": -17410, \"d\": -9999, \"e\": -8637}", "seed": "14151643553643092462", "semantic_fingerprint": "sha256:c15a757d9de93832483b2a605d69e0ab4b50b35cdbcf70e8e4cf57f6a1f5c39f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002219", "prompt": "What is 8628 / 6473 * (-8302) + 2478?", "solution_steps": ["Divide: 8628 / 6473 = 8628/6473", "Multiply: (8628/6473) * (-8302) = -71629656/6473", "Add: -71629656/6473 + 2478 = -55589562/6473"], "final_answer": "-55589562/6473", "answer_type": "rational", "kind": "expression", "math_text": "8628 / 6473 * (-8302) + 2478", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8628, \"b\": 6473, \"c\": -8302, \"d\": 2478}", "seed": "13071627130718418044", "semantic_fingerprint": "sha256:27cf4af5e0cd6787076e81a19c230f86b853f4dd3e21afd6a8d5aecac03141c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002220", "prompt": "Compute: -6074 / (-4503)", "solution_steps": ["Divide: -6074 / (-4503) = 6074/4503"], "final_answer": "6074/4503", "answer_type": "rational", "kind": "expression", "math_text": "-6074 / (-4503)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6074, \"b\": -4503}", "seed": "2974521599593968241", "semantic_fingerprint": "sha256:6593bcc656509e09f455ce37a27a2f8156abc02c95a3ae37a9a000662588a2d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002221", "prompt": "Calculate: -8934 - (-7047) + (-21178)", "solution_steps": ["Subtract: -8934 - (-7047) = -1887", "Add: -1887 + (-21178) = -23065"], "final_answer": "-23065", "answer_type": "integer", "kind": "expression", "math_text": "-8934 - (-7047) + (-21178)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8934, \"b\": -7047, \"c\": -21178}", "seed": "1404731333328403836", "semantic_fingerprint": "sha256:fa3f64578c44d67eae933cfa99e08496859648bc154c12cfc80b69546f88b70d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002222", "prompt": "Find x: -30x = 16(x - 28849)", "solution_steps": ["Expand: -30x = 16x - 461584", "Subtract 16x from both sides: -46x = -461584", "Divide both sides by -46: x = 230792/23"], "final_answer": "230792/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30x = 16(x - 28849)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 16, \"c\": 28849}", "seed": "3156881826348432424", "semantic_fingerprint": "sha256:e38fc924210f85ceafe271c68d4b968f870548c3f61ac4d78ba4a7d1a33ffbb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002223", "prompt": "What is (5730 + (56215 + (-4790) * (-11412))) / (-76224)?", "solution_steps": ["Multiply: -4790 * (-11412) = 54663480", "Add: 56215 + 54663480 = 54719695", "Add: 5730 + 54719695 = 54725425", "Divide: 54725425 / (-76224) = -54725425/76224"], "final_answer": "-54725425/76224", "answer_type": "rational", "kind": "expression", "math_text": "(5730 + (56215 + (-4790) * (-11412))) / (-76224)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5730, \"b\": 56215, \"c\": -4790, \"d\": -11412, \"e\": -76224}", "seed": "6715022117386722275", "semantic_fingerprint": "sha256:dfc8dd83ab0b137fd10447a881d1c85ab24aaa6e24d7fcbf0a399a915101434b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002224", "prompt": "Compute: (4665 + 7531 * (-37735)) / (-5993 - (-7954))", "solution_steps": ["Multiply: 7531 * (-37735) = -284182285", "Add: 4665 + (-284182285) = -284177620", "Subtract: -5993 - (-7954) = 1961", "Divide: -284177620 / 1961 = -284177620/1961"], "final_answer": "-284177620/1961", "answer_type": "rational", "kind": "expression", "math_text": "(4665 + 7531 * (-37735)) / (-5993 - (-7954))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4665, \"b\": 7531, \"c\": -37735, \"d\": -5993, \"e\": -7954}", "seed": "14503668256257100757", "semantic_fingerprint": "sha256:29e4e28a01cef1e32ca90b0311147d50262898b6e015f2d71920e46ea8c42663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002225", "prompt": "Evaluate: (-19423 / (-1262) + (-39924 + 32294)) * (-3467)", "solution_steps": ["Divide: -19423 / (-1262) = 19423/1262", "Add: -39924 + 32294 = -7630", "Add: 19423/1262 + (-7630) = -9609637/1262", "Multiply: (-9609637/1262) * (-3467) = 33316611479/1262"], "final_answer": "33316611479/1262", "answer_type": "rational", "kind": "expression", "math_text": "(-19423 / (-1262) + (-39924 + 32294)) * (-3467)", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19423, \"b\": -1262, \"c\": -39924, \"d\": 32294, \"e\": -3467}", "seed": "10047807213254214308", "semantic_fingerprint": "sha256:44e777c545bb70eb5dc9216e64fb2070a68a0f8f56b34f3ee9ad902d8a2c33dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002226", "prompt": "Compute: 1827 * (9578 * 85491 / (3729 - 47597)) - (-6215)", "solution_steps": ["Multiply: 9578 * 85491 = 818832798", "Subtract: 3729 - 47597 = -43868", "Divide: 818832798 / (-43868) = -409416399/21934", "Multiply: 1827 * (-409416399/21934) = -748003760973/21934", "Subtract: -748003760973/21934 - (-6215) = -747867441163/21934"], "final_answer": "-747867441163/21934", "answer_type": "rational", "kind": "expression", "math_text": "1827 * (9578 * 85491 / (3729 - 47597)) - (-6215)", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ (* n n) (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1827, \"b\": 9578, \"c\": 85491, \"d\": 3729, \"e\": 47597, \"f\": -6215}", "seed": "1343189943408702012", "semantic_fingerprint": "sha256:936060a0a1a287b1245c7aac8d237c091991344fc51001517cc0c94547d54f0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002227", "prompt": "Compute: -56300 + (-5780) - 2183 * 9893", "solution_steps": ["Add: -56300 + (-5780) = -62080", "Multiply: 2183 * 9893 = 21596419", "Subtract: -62080 - 21596419 = -21658499"], "final_answer": "-21658499", "answer_type": "integer", "kind": "expression", "math_text": "-56300 + (-5780) - 2183 * 9893", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -56300, \"b\": -5780, \"c\": 2183, \"d\": 9893}", "seed": "14745260017233317888", "semantic_fingerprint": "sha256:b0dc1c58f03cca9c71e53b929347c841d94c156012d6a11527c7dd2bbae70dc4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002228", "prompt": "What is 88492 + (-44766 + 4154)?", "solution_steps": ["Add: -44766 + 4154 = -40612", "Add: 88492 + (-40612) = 47880"], "final_answer": "47880", "answer_type": "integer", "kind": "expression", "math_text": "88492 + (-44766 + 4154)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88492, \"b\": -44766, \"c\": 4154}", "seed": "7372658681589319813", "semantic_fingerprint": "sha256:241f85f59a17f4281bf4e71c3e2f0fe02ec361f8e2a4e3a50a2cfca12081acfd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002229", "prompt": "Evaluate: -85284 * 61564", "solution_steps": ["Multiply: -85284 * 61564 = -5250424176"], "final_answer": "-5250424176", "answer_type": "integer", "kind": "expression", "math_text": "-85284 * 61564", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -85284, \"b\": 61564}", "seed": "811067842292921988", "semantic_fingerprint": "sha256:b11f36e23ee17b3f2a437f2c756f0e95b0e13ba7f09b3a9b9715dbce8707745a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002230", "prompt": "Solve for x: 22(x + 3161) = 21(x + 8443)", "solution_steps": ["Expand: 22x + 69542 = 21(x + 8443)", "Expand: 22x + 69542 = 21x + 177303", "Subtract 21x from both sides: x + 69542 = 177303", "Subtract 69542 from both sides: x = 107761"], "final_answer": "107761", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 3161) = 21(x + 8443)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3161, \"c\": 21, \"d\": 8443}", "seed": "11542907259392578350", "semantic_fingerprint": "sha256:ce9d0438fe768c41ea45f04c80e323aea8be488a7b145f441d298a3b7dba0afa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002231", "prompt": "Calculate: 44799 + 6832", "solution_steps": ["Add: 44799 + 6832 = 51631"], "final_answer": "51631", "answer_type": "integer", "kind": "expression", "math_text": "44799 + 6832", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 44799, \"b\": 6832}", "seed": "14643027307181835972", "semantic_fingerprint": "sha256:28c64c0fc71e02584dd5d542bd5c4d2758004aa3b37edab5e4a3921ba404412d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002232", "prompt": "What value of x satisfies -39(x - 7216) = x?", "solution_steps": ["Expand: -39x + 281424 = x", "Subtract x from both sides: -40x + 281424 = 0", "Subtract 281424 from both sides: -40x = -281424", "Divide both sides by -40: x = 35178/5"], "final_answer": "35178/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 7216) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 7216}", "seed": "6781035138016089819", "semantic_fingerprint": "sha256:587daf0fd3ced9b44bda09efefce04dedb2169cac2b1bd6f2062f1783e13ef2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002233", "prompt": "Calculate: -6002 * (-99585) + (-79079 - (-4245) + (-71736))", "solution_steps": ["Multiply: -6002 * (-99585) = 597709170", "Subtract: -79079 - (-4245) = -74834", "Add: -74834 + (-71736) = -146570", "Add: 597709170 + (-146570) = 597562600"], "final_answer": "597562600", "answer_type": "integer", "kind": "expression", "math_text": "-6002 * (-99585) + (-79079 - (-4245) + (-71736))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6002, \"b\": -99585, \"c\": -79079, \"d\": -4245, \"e\": -71736}", "seed": "1216168403900666690", "semantic_fingerprint": "sha256:356c9f0a6cde0999b39203dc4d81610e4eaa7510baf76ce55a8dfde60b8110b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002234", "prompt": "Calculate: (73398 + (-45896) * (-67878)) / (-30926 - 81144)", "solution_steps": ["Multiply: -45896 * (-67878) = 3115328688", "Add: 73398 + 3115328688 = 3115402086", "Subtract: -30926 - 81144 = -112070", "Divide: 3115402086 / (-112070) = -1557701043/56035"], "final_answer": "-1557701043/56035", "answer_type": "rational", "kind": "expression", "math_text": "(73398 + (-45896) * (-67878)) / (-30926 - 81144)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 73398, \"b\": -45896, \"c\": -67878, \"d\": -30926, \"e\": 81144}", "seed": "12791488986011927575", "semantic_fingerprint": "sha256:92d4d509049eec605b17718ede246ea87f0ec376fd2587bd7d76405e4bdc5958", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002235", "prompt": "What is 5119 / 57641 + 29763 - (1486 + (-4607) - 90430)?", "solution_steps": ["Divide: 5119 / 57641 = 5119/57641", "Add: 5119/57641 + 29763 = 1715574202/57641", "Add: 1486 + (-4607) = -3121", "Subtract: -3121 - 90430 = -93551", "Subtract: 1715574202/57641 - (-93551) = 7107947393/57641"], "final_answer": "7107947393/57641", "answer_type": "rational", "kind": "expression", "math_text": "5119 / 57641 + 29763 - (1486 + (-4607) - 90430)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5119, \"b\": 57641, \"c\": 29763, \"d\": 1486, \"e\": -4607, \"f\": 90430}", "seed": "7542858434824916568", "semantic_fingerprint": "sha256:e12ab4e59d815b9ea088adb908e74e775bccb9efd6597d9c45a06c16b4bae8bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002236", "prompt": "Solve for x: 36(x + 9485) = x", "solution_steps": ["Expand: 36x + 341460 = x", "Subtract x from both sides: 35x + 341460 = 0", "Subtract 341460 from both sides: 35x = -341460", "Divide both sides by 35: x = -9756"], "final_answer": "-9756", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x + 9485) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 9485}", "seed": "15466319112561980975", "semantic_fingerprint": "sha256:af40138801a01ca56be13f860743a6c646d0edc5fd064a643c72b36af09fff71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002237", "prompt": "Compute: -1352 / (-85492) - (-23374 + (-4576))", "solution_steps": ["Divide: -1352 / (-85492) = 338/21373", "Add: -23374 + (-4576) = -27950", "Subtract: 338/21373 - (-27950) = 597375688/21373"], "final_answer": "597375688/21373", "answer_type": "rational", "kind": "expression", "math_text": "-1352 / (-85492) - (-23374 + (-4576))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1352, \"b\": -85492, \"c\": -23374, \"d\": -4576}", "seed": "2893421404789825330", "semantic_fingerprint": "sha256:fda32a94d7ead6dbab6e11f112dac19f58a57edae78cc25d96d623a94f54fcb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002238", "prompt": "Compute: -2011 / (98809 / (-2826))", "solution_steps": ["Divide: 98809 / (-2826) = -98809/2826", "Divide: -2011 / (-98809/2826) = 5683086/98809"], "final_answer": "5683086/98809", "answer_type": "rational", "kind": "expression", "math_text": "-2011 / (98809 / (-2826))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2011, \"b\": 98809, \"c\": -2826}", "seed": "2800152455760985341", "semantic_fingerprint": "sha256:cf462fb4c64d4bf0f0bc231c52294b998b308a9945b8a10a6b1201c6d722eb7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002239", "prompt": "What is -9446 + (-65368 - (-11958)) / 2254?", "solution_steps": ["Subtract: -65368 - (-11958) = -53410", "Divide: -53410 / 2254 = -545/23", "Add: -9446 + (-545/23) = -217803/23"], "final_answer": "-217803/23", "answer_type": "rational", "kind": "expression", "math_text": "-9446 + (-65368 - (-11958)) / 2254", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9446, \"b\": -65368, \"c\": -11958, \"d\": 2254}", "seed": "15793999321790532335", "semantic_fingerprint": "sha256:2422274d9a5056123a5b61d36963305d5193d5069bf49c662043d4efc8d25553", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002240", "prompt": "Evaluate: -8099 - (-3376) * 1889", "solution_steps": ["Multiply: -3376 * 1889 = -6377264", "Subtract: -8099 - (-6377264) = 6369165"], "final_answer": "6369165", "answer_type": "integer", "kind": "expression", "math_text": "-8099 - (-3376) * 1889", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8099, \"b\": -3376, \"c\": 1889}", "seed": "11104360111748179837", "semantic_fingerprint": "sha256:e9e84b3426766a06c94dc83e5c8bf7c8e0f2ad0a0f19e4674a6668e916ba34d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002241", "prompt": "Compute: 68012 / (-9826) + (4252 + 27396)", "solution_steps": ["Divide: 68012 / (-9826) = -34006/4913", "Add: 4252 + 27396 = 31648", "Add: -34006/4913 + 31648 = 155452618/4913"], "final_answer": "155452618/4913", "answer_type": "rational", "kind": "expression", "math_text": "68012 / (-9826) + (4252 + 27396)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68012, \"b\": -9826, \"c\": 4252, \"d\": 27396}", "seed": "17516219861461193376", "semantic_fingerprint": "sha256:82769fe6ab09f17153ce2e47697c1ea31cd46eac95181a0df6766f5487f821c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002242", "prompt": "Evaluate: -60381 + (9305 / 6757 - 14569)", "solution_steps": ["Divide: 9305 / 6757 = 9305/6757", "Subtract: 9305/6757 - 14569 = -98433428/6757", "Add: -60381 + (-98433428/6757) = -506427845/6757"], "final_answer": "-506427845/6757", "answer_type": "rational", "kind": "expression", "math_text": "-60381 + (9305 / 6757 - 14569)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -60381, \"b\": 9305, \"c\": 6757, \"d\": 14569}", "seed": "8769826285420246333", "semantic_fingerprint": "sha256:6d8188f12c9980982258657f2d9d7b8c274b71a4f4f790af593433d89b41b0c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002243", "prompt": "Calculate: -6759 * (2255 * 52389 - (-3911) * (-46487 + 2620))", "solution_steps": ["Multiply: 2255 * 52389 = 118137195", "Add: -46487 + 2620 = -43867", "Multiply: -3911 * (-43867) = 171563837", "Subtract: 118137195 - 171563837 = -53426642", "Multiply: -6759 * (-53426642) = 361110673278"], "final_answer": "361110673278", "answer_type": "integer", "kind": "expression", "math_text": "-6759 * (2255 * 52389 - (-3911) * (-46487 + 2620))", "variable": null, "family": "expression_5op", "shape": "(* n (- (* n n) (* n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6759, \"b\": 2255, \"c\": 52389, \"d\": -3911, \"e\": -46487, \"f\": 2620}", "seed": "18437678389419695909", "semantic_fingerprint": "sha256:ace74b09646a97ca7abc3cefdff894bd2cf755dc0de6b8e7df183abd58b8fe69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002244", "prompt": "What is 49993 + 74782?", "solution_steps": ["Add: 49993 + 74782 = 124775"], "final_answer": "124775", "answer_type": "integer", "kind": "expression", "math_text": "49993 + 74782", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 49993, \"b\": 74782}", "seed": "16493959363453013360", "semantic_fingerprint": "sha256:1d7b7d9d8b567e440019f966731cfdbce26b72b6b68665f0059c7854f38747cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002245", "prompt": "Compute: 39273 + (-4843)", "solution_steps": ["Add: 39273 + (-4843) = 34430"], "final_answer": "34430", "answer_type": "integer", "kind": "expression", "math_text": "39273 + (-4843)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 39273, \"b\": -4843}", "seed": "107756044412695993", "semantic_fingerprint": "sha256:d780753b897c08095d56c4fcb7717ab8b1df89d18a9189554b1e92907fdfdd39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002246", "prompt": "Solve for x: 36(x - 2463) + 8930 = x - 81348", "solution_steps": ["Expand: 36x - 88668 + 8930 = x - 81348", "Combine constants: 36x - 79738 = x - 81348", "Subtract x from both sides: 35x - 79738 = -81348", "Add 79738 to both sides: 35x = -1610", "Divide both sides by 35: x = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x - 2463) + 8930 = x - 81348", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 2463, \"c\": 8930, \"e\": -81348, \"x\": -46}", "seed": "9872285797442497138", "semantic_fingerprint": "sha256:0638aeb5882354dd1b945cce8981658c1cf81eacb95676d12d92cdbdad2ecc34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002247", "prompt": "Calculate: -65155 - (-5783) - 26558 + (-59745 + 2193 + 24959)", "solution_steps": ["Subtract: -65155 - (-5783) = -59372", "Subtract: -59372 - 26558 = -85930", "Add: -59745 + 2193 = -57552", "Add: -57552 + 24959 = -32593", "Add: -85930 + (-32593) = -118523"], "final_answer": "-118523", "answer_type": "integer", "kind": "expression", "math_text": "-65155 - (-5783) - 26558 + (-59745 + 2193 + 24959)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -65155, \"b\": -5783, \"c\": 26558, \"d\": -59745, \"e\": 2193, \"f\": 24959}", "seed": "11515033284137639224", "semantic_fingerprint": "sha256:695032a51d8194aaae9d75302ebaa30b6684295c3dff08d860ec94c4c70c4bb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002248", "prompt": "Evaluate: 6106 + (-1623) + (-9864 + (-60075))", "solution_steps": ["Add: 6106 + (-1623) = 4483", "Add: -9864 + (-60075) = -69939", "Add: 4483 + (-69939) = -65456"], "final_answer": "-65456", "answer_type": "integer", "kind": "expression", "math_text": "6106 + (-1623) + (-9864 + (-60075))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6106, \"b\": -1623, \"c\": -9864, \"d\": -60075}", "seed": "2468198637656070275", "semantic_fingerprint": "sha256:c47646c9365e23cb423c612d84f0b49886d00c6dad901ee5df8caaa047f34c52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002249", "prompt": "What value of x satisfies -20(x + 73249) + 45941 = 27(x - 64149)?", "solution_steps": ["Expand: -20x - 1464980 + 45941 = 27(x - 64149)", "Expand: -20x - 1464980 + 45941 = 27x - 1732023", "Combine constants: -20x - 1419039 = 27x - 1732023", "Subtract 27x from both sides: -47x - 1419039 = -1732023", "Add 1419039 to both sides: -47x = -312984", "Divide both sides by -47: x = 312984/47"], "final_answer": "312984/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 73249) + 45941 = 27(x - 64149)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 73249, \"c\": 45941, \"d\": 27, \"e\": 64149}", "seed": "9331066109040234337", "semantic_fingerprint": "sha256:f38c4bdec15edfb3a9b5b4928cc7eb2fbbff18d3b1378aa464d939d3bbb48854", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002250", "prompt": "Solve the equation 15(x - 3601) = 30x for x.", "solution_steps": ["Expand: 15x - 54015 = 30x", "Subtract 30x from both sides: -15x - 54015 = 0", "Add 54015 to both sides: -15x = 54015", "Divide both sides by -15: x = -3601"], "final_answer": "-3601", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 3601) = 30x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3601, \"c\": 30}", "seed": "2118636163112282924", "semantic_fingerprint": "sha256:b71459f4584a698998b7b07f112ed5cdbc83af99dab4acfb4cb9ecf099d64c17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002251", "prompt": "Solve for x: x + 56693 = 35x + 51967", "solution_steps": ["Subtract 35x from both sides: -34x + 56693 = 51967", "Subtract 56693 from both sides: -34x = -4726", "Divide both sides by -34: x = 139"], "final_answer": "139", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 56693 = 35x + 51967", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 56693, \"b\": 35, \"d\": 51967, \"x\": 139}", "seed": "4325426584085279016", "semantic_fingerprint": "sha256:c4f5da5beddd078101101f129cb044fc7e53b7d1a9a74fc0e12902d36144176f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002252", "prompt": "Compute: -14975 / (-1141)", "solution_steps": ["Divide: -14975 / (-1141) = 14975/1141"], "final_answer": "14975/1141", "answer_type": "rational", "kind": "expression", "math_text": "-14975 / (-1141)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -14975, \"b\": -1141}", "seed": "13276413690374814131", "semantic_fingerprint": "sha256:212a55b9315c2672e49cb7946085971cfcf1c63685bb2bcf904c0a26b6fd0191", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002253", "prompt": "What is 9523 / (-64344)?", "solution_steps": ["Divide: 9523 / (-64344) = -9523/64344"], "final_answer": "-9523/64344", "answer_type": "rational", "kind": "expression", "math_text": "9523 / (-64344)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9523, \"b\": -64344}", "seed": "4390190718901122253", "semantic_fingerprint": "sha256:33e429aca20b49f726894f69be432d551b5a79e70b1b7a7956242671f34f91a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002254", "prompt": "Evaluate: -94105 / (-6602)", "solution_steps": ["Divide: -94105 / (-6602) = 94105/6602"], "final_answer": "94105/6602", "answer_type": "rational", "kind": "expression", "math_text": "-94105 / (-6602)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94105, \"b\": -6602}", "seed": "12821304209228325514", "semantic_fingerprint": "sha256:e1681b24526a185fdbf892008639500671a188b6f561b9dfbb6326b469f5478f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002255", "prompt": "What value of x satisfies 20(x + 37115) - 79733 = 13(x - 26778)?", "solution_steps": ["Expand: 20x + 742300 - 79733 = 13(x - 26778)", "Expand: 20x + 742300 - 79733 = 13x - 348114", "Combine constants: 20x + 662567 = 13x - 348114", "Subtract 13x from both sides: 7x + 662567 = -348114", "Subtract 662567 from both sides: 7x = -1010681", "Divide both sides by 7: x = -144383"], "final_answer": "-144383", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 37115) - 79733 = 13(x - 26778)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 37115, \"c\": 79733, \"d\": 13, \"e\": 26778}", "seed": "3355056916478107458", "semantic_fingerprint": "sha256:234e1b7400ce687817fc1f9fafb6b32d5a320d1f78ab260dbc57272bd39c4112", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002256", "prompt": "Calculate: (44616 + 2771 - 98788) / (-68192) * (8504 + (-8083))", "solution_steps": ["Add: 44616 + 2771 = 47387", "Subtract: 47387 - 98788 = -51401", "Divide: -51401 / (-68192) = 51401/68192", "Add: 8504 + (-8083) = 421", "Multiply: (51401/68192) * 421 = 21639821/68192"], "final_answer": "21639821/68192", "answer_type": "rational", "kind": "expression", "math_text": "(44616 + 2771 - 98788) / (-68192) * (8504 + (-8083))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 44616, \"b\": 2771, \"c\": 98788, \"d\": -68192, \"e\": 8504, \"f\": -8083}", "seed": "12299390745710041454", "semantic_fingerprint": "sha256:95b71b484a60e7f280dc2e5ce6c2d5d8e2f5267c473ee54213be8a95c8c343e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002257", "prompt": "Solve for x: -18(x - 4185) - 71454 = 33x", "solution_steps": ["Expand: -18x + 75330 - 71454 = 33x", "Combine constants: -18x + 3876 = 33x", "Subtract 33x from both sides: -51x + 3876 = 0", "Subtract 3876 from both sides: -51x = -3876", "Divide both sides by -51: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 4185) - 71454 = 33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 4185, \"c\": 33, \"e\": -71454, \"x\": 76}", "seed": "14036948343544043949", "semantic_fingerprint": "sha256:04f7ad70a0e4afae4777f7e7ce3e46b7fda0c6b453e686df3c794af0f24e72a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002258", "prompt": "Compute: (8861 - 36730) / 52760 - (-7472)", "solution_steps": ["Subtract: 8861 - 36730 = -27869", "Divide: -27869 / 52760 = -27869/52760", "Subtract: -27869/52760 - (-7472) = 394194851/52760"], "final_answer": "394194851/52760", "answer_type": "rational", "kind": "expression", "math_text": "(8861 - 36730) / 52760 - (-7472)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8861, \"b\": 36730, \"c\": 52760, \"d\": -7472}", "seed": "18176962080215626375", "semantic_fingerprint": "sha256:841ac50483d3efaef13fd1ebdff43a483c9dc849ab4bf7a83dedd8926a84f692", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002259", "prompt": "Find x: 28(x + 66720) = x", "solution_steps": ["Expand: 28x + 1868160 = x", "Subtract x from both sides: 27x + 1868160 = 0", "Subtract 1868160 from both sides: 27x = -1868160", "Divide both sides by 27: x = -622720/9"], "final_answer": "-622720/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 66720) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 66720}", "seed": "17529384327760468163", "semantic_fingerprint": "sha256:909b37aeede6a24be6ac607872b9f9388a946b9834463a622bb36985360ed127", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002260", "prompt": "Solve for x: 30(x - 8159) = 16(x + 5366) + 55168", "solution_steps": ["Expand: 30x - 244770 = 16(x + 5366) + 55168", "Expand: 30x - 244770 = 16x + 85856 + 55168", "Combine constants: 30x - 244770 = 16x + 141024", "Subtract 16x from both sides: 14x - 244770 = 141024", "Add 244770 to both sides: 14x = 385794", "Divide both sides by 14: x = 192897/7"], "final_answer": "192897/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 8159) = 16(x + 5366) + 55168", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 8159, \"c\": 16, \"d\": 5366, \"e\": 55168}", "seed": "16160260921914731434", "semantic_fingerprint": "sha256:914791e3fefe1b58a7a292757b7742d034cb1588e6af9a214ff72a56816f20e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002261", "prompt": "Evaluate: 9953 / (87030 - 60290)", "solution_steps": ["Subtract: 87030 - 60290 = 26740", "Divide: 9953 / 26740 = 9953/26740"], "final_answer": "9953/26740", "answer_type": "rational", "kind": "expression", "math_text": "9953 / (87030 - 60290)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9953, \"b\": 87030, \"c\": 60290}", "seed": "17018498451617583203", "semantic_fingerprint": "sha256:41a91570c355b5b71b70ea6f74c8c48a425974a67bf94cc6914d0e058215f047", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002262", "prompt": "Evaluate: 93121 * ((-4065 - 68851) / 4610)", "solution_steps": ["Subtract: -4065 - 68851 = -72916", "Divide: -72916 / 4610 = -36458/2305", "Multiply: 93121 * (-36458/2305) = -3395005418/2305"], "final_answer": "-3395005418/2305", "answer_type": "rational", "kind": "expression", "math_text": "93121 * ((-4065 - 68851) / 4610)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93121, \"b\": -4065, \"c\": 68851, \"d\": 4610}", "seed": "8560002968031785902", "semantic_fingerprint": "sha256:234d64847c42d6364ee83d0744bb071764a3da75e990ed286707964de364b3fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002263", "prompt": "Find x: x = -23(x + 66030)", "solution_steps": ["Expand: x = -23x - 1518690", "Add 23x to both sides: 24x = -1518690", "Divide both sides by 24: x = -253115/4"], "final_answer": "-253115/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -23(x + 66030)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 66030}", "seed": "11784993383931418100", "semantic_fingerprint": "sha256:ae8fb6df6887a6623bddba58dcf9896485189e0223d017039c1353e5a10329d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002264", "prompt": "Solve the equation -33x = x - 2170 for x.", "solution_steps": ["Subtract x from both sides: -34x = -2170", "Divide both sides by -34: x = 1085/17"], "final_answer": "1085/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x = x - 2170", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 2170}", "seed": "13157536577131629894", "semantic_fingerprint": "sha256:6170136015365dcbb1e7cc58305c898a94837568ddb5801adb21944eaec17a5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002265", "prompt": "Calculate: 89104 * (-5161) + 78679", "solution_steps": ["Multiply: 89104 * (-5161) = -459865744", "Add: -459865744 + 78679 = -459787065"], "final_answer": "-459787065", "answer_type": "integer", "kind": "expression", "math_text": "89104 * (-5161) + 78679", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 89104, \"b\": -5161, \"c\": 78679}", "seed": "2493955309270163860", "semantic_fingerprint": "sha256:79854d75627681cf19b7e2240d9af78155d8e56761c448e37540a002d9a74235", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002266", "prompt": "Find x: x - 5595 = 30x - 10206", "solution_steps": ["Subtract 30x from both sides: -29x - 5595 = -10206", "Add 5595 to both sides: -29x = -4611", "Divide both sides by -29: x = 159"], "final_answer": "159", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5595 = 30x - 10206", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5595, \"b\": 30, \"d\": -10206, \"x\": 159}", "seed": "6331817691995021259", "semantic_fingerprint": "sha256:471f811f11ae65f9a478c128e35e5f8a11f6584166934babfe7c1624fefa3862", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002267", "prompt": "What is -16896 * (-7016) - (-9154)?", "solution_steps": ["Multiply: -16896 * (-7016) = 118542336", "Subtract: 118542336 - (-9154) = 118551490"], "final_answer": "118551490", "answer_type": "integer", "kind": "expression", "math_text": "-16896 * (-7016) - (-9154)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16896, \"b\": -7016, \"c\": -9154}", "seed": "12151067087252903562", "semantic_fingerprint": "sha256:d842106302fd47ba1fd1506a9dd7369bd3ee034407bc3369e3f9ba9273d5af8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002268", "prompt": "Compute: -97495 + (-77934) - (-6767)", "solution_steps": ["Add: -97495 + (-77934) = -175429", "Subtract: -175429 - (-6767) = -168662"], "final_answer": "-168662", "answer_type": "integer", "kind": "expression", "math_text": "-97495 + (-77934) - (-6767)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97495, \"b\": -77934, \"c\": -6767}", "seed": "4135866783313293111", "semantic_fingerprint": "sha256:3e874653ba1b176a7e81bb7ba4ea1291a696fc1f30466e0c32623b1208fbbfaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002269", "prompt": "Compute: 27630 + 58006", "solution_steps": ["Add: 27630 + 58006 = 85636"], "final_answer": "85636", "answer_type": "integer", "kind": "expression", "math_text": "27630 + 58006", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 27630, \"b\": 58006}", "seed": "12799402223902360397", "semantic_fingerprint": "sha256:8a25394ce5c837e77f6b6b48aceb4a31f6c13737963cb3f1f734b9ac56c4bed0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002270", "prompt": "What is (2308 - 95603) * (-36756 + 32447 + (-2364))?", "solution_steps": ["Subtract: 2308 - 95603 = -93295", "Add: -36756 + 32447 = -4309", "Add: -4309 + (-2364) = -6673", "Multiply: -93295 * (-6673) = 622557535"], "final_answer": "622557535", "answer_type": "integer", "kind": "expression", "math_text": "(2308 - 95603) * (-36756 + 32447 + (-2364))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2308, \"b\": 95603, \"c\": -36756, \"d\": 32447, \"e\": -2364}", "seed": "9921492100549817862", "semantic_fingerprint": "sha256:1e4015d5b7e52f78b8eb6003e9fe410e886a4fca61cd5d91385ca0dcfd329ad2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002271", "prompt": "What is 4219 * (-6395) + (-7642 + (-7887)) * (-6997)?", "solution_steps": ["Multiply: 4219 * (-6395) = -26980505", "Add: -7642 + (-7887) = -15529", "Multiply: -15529 * (-6997) = 108656413", "Add: -26980505 + 108656413 = 81675908"], "final_answer": "81675908", "answer_type": "integer", "kind": "expression", "math_text": "4219 * (-6395) + (-7642 + (-7887)) * (-6997)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4219, \"b\": -6395, \"c\": -7642, \"d\": -7887, \"e\": -6997}", "seed": "17176978242485338036", "semantic_fingerprint": "sha256:04dc23465c09a780c2f41bc5edb7e3a966a7f915ea26e5fbe8297590a015a0ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002272", "prompt": "Calculate: 14630 * (-48388)", "solution_steps": ["Multiply: 14630 * (-48388) = -707916440"], "final_answer": "-707916440", "answer_type": "integer", "kind": "expression", "math_text": "14630 * (-48388)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 14630, \"b\": -48388}", "seed": "16652384878417662746", "semantic_fingerprint": "sha256:2e3185a93832d940f1c966d7483229748cd413f325a5f452b5b7613a2bde2235", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002273", "prompt": "What is 85951 - (-1360)?", "solution_steps": ["Subtract: 85951 - (-1360) = 87311"], "final_answer": "87311", "answer_type": "integer", "kind": "expression", "math_text": "85951 - (-1360)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 85951, \"b\": -1360}", "seed": "5103194134958695539", "semantic_fingerprint": "sha256:7428100d44e1c2d8f6bc31b82b59847aaa6654bf250310b082250ea667dad858", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002274", "prompt": "What is -2113 + (-8503) + (-8297 - 1966 / 9453)?", "solution_steps": ["Add: -2113 + (-8503) = -10616", "Divide: 1966 / 9453 = 1966/9453", "Subtract: -8297 - 1966/9453 = -78433507/9453", "Add: -10616 + (-78433507/9453) = -178786555/9453"], "final_answer": "-178786555/9453", "answer_type": "rational", "kind": "expression", "math_text": "-2113 + (-8503) + (-8297 - 1966 / 9453)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2113, \"b\": -8503, \"c\": -8297, \"d\": 1966, \"e\": 9453}", "seed": "11896113156967262871", "semantic_fingerprint": "sha256:1add29702b728fe545c7e2fd55d008d2f5b6e61a12b9c511ef6e70fa6f802ff0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002275", "prompt": "Solve the equation -36x = 40(x - 8135) for x.", "solution_steps": ["Expand: -36x = 40x - 325400", "Subtract 40x from both sides: -76x = -325400", "Divide both sides by -76: x = 81350/19"], "final_answer": "81350/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x = 40(x - 8135)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 40, \"c\": 8135}", "seed": "16004396875989718299", "semantic_fingerprint": "sha256:f8b95d405c0dec9d61b8ea53336b43196a663a960e763a6826978d62e005c8b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002276", "prompt": "Evaluate: 3889 - (27221 + (-7630))", "solution_steps": ["Add: 27221 + (-7630) = 19591", "Subtract: 3889 - 19591 = -15702"], "final_answer": "-15702", "answer_type": "integer", "kind": "expression", "math_text": "3889 - (27221 + (-7630))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3889, \"b\": 27221, \"c\": -7630}", "seed": "8400817625831551013", "semantic_fingerprint": "sha256:135b75b3266a49cfc797fbb8a46b2c7fd4aa9d73cd9adda27f722342b39524b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002277", "prompt": "Solve the equation x + 4039 = -17(x + 6075) - 17468 for x.", "solution_steps": ["Expand: x + 4039 = -17x - 103275 - 17468", "Combine constants: x + 4039 = -17x - 120743", "Add 17x to both sides: 18x + 4039 = -120743", "Subtract 4039 from both sides: 18x = -124782", "Divide both sides by 18: x = -20797/3"], "final_answer": "-20797/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4039 = -17(x + 6075) - 17468", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4039, \"b\": -17, \"c\": 6075, \"d\": 17468}", "seed": "6843081327507391563", "semantic_fingerprint": "sha256:28b512d04998e535dbb0b5cb78bbba2fc156d3ff72ae638f48dc4f4b7fd79eb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002278", "prompt": "Compute: -60348 * (-1296)", "solution_steps": ["Multiply: -60348 * (-1296) = 78211008"], "final_answer": "78211008", "answer_type": "integer", "kind": "expression", "math_text": "-60348 * (-1296)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -60348, \"b\": -1296}", "seed": "863854822793522353", "semantic_fingerprint": "sha256:8b7835a7d18a47151ba585b38a3b9615b9267073a1bac0f403f2248575545cd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002279", "prompt": "Calculate: 34087 / 7050", "solution_steps": ["Divide: 34087 / 7050 = 34087/7050"], "final_answer": "34087/7050", "answer_type": "rational", "kind": "expression", "math_text": "34087 / 7050", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34087, \"b\": 7050}", "seed": "2953365555178391093", "semantic_fingerprint": "sha256:8473f552d465f7a7247df7642665ef2b712cd54ad563e92a3dbc2ebd0a0a9181", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002280", "prompt": "What is -9830 + (-7299)?", "solution_steps": ["Add: -9830 + (-7299) = -17129"], "final_answer": "-17129", "answer_type": "integer", "kind": "expression", "math_text": "-9830 + (-7299)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9830, \"b\": -7299}", "seed": "3200140168620172101", "semantic_fingerprint": "sha256:742991de4af23574dddd9876f7bb99fc87bbdcca6269f80f1df0033fc0aacf18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002281", "prompt": "Evaluate: (32889 - (8811 - 1257)) / (-1717)", "solution_steps": ["Subtract: 8811 - 1257 = 7554", "Subtract: 32889 - 7554 = 25335", "Divide: 25335 / (-1717) = -25335/1717"], "final_answer": "-25335/1717", "answer_type": "rational", "kind": "expression", "math_text": "(32889 - (8811 - 1257)) / (-1717)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32889, \"b\": 8811, \"c\": 1257, \"d\": -1717}", "seed": "16849148426111912915", "semantic_fingerprint": "sha256:9fb89f42c138227b23308fdae5e865e1087c0c7b76bc78fae32661dd312eb354", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002282", "prompt": "Solve the equation 29x = 39x + 11282 for x.", "solution_steps": ["Subtract 39x from both sides: -10x = 11282", "Divide both sides by -10: x = -5641/5"], "final_answer": "-5641/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = 39x + 11282", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 39, \"c\": 11282}", "seed": "17570993172090660232", "semantic_fingerprint": "sha256:6e5bc6d0ce387722ccbbb2934cdd18afe483eead2b237abaf576f0c8d6f2113b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002283", "prompt": "Solve the equation -24(x + 2828) = x + 3183 for x.", "solution_steps": ["Expand: -24x - 67872 = x + 3183", "Subtract x from both sides: -25x - 67872 = 3183", "Add 67872 to both sides: -25x = 71055", "Divide both sides by -25: x = -14211/5"], "final_answer": "-14211/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 2828) = x + 3183", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 2828, \"c\": 3183}", "seed": "13887688889689757506", "semantic_fingerprint": "sha256:f4e59b37bd200e18afd1f8dac6416938728395721511487e7b4c0b0754de4665", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002284", "prompt": "Solve for x: 23(x + 35075) = -20(x + 34707)", "solution_steps": ["Expand: 23x + 806725 = -20(x + 34707)", "Expand: 23x + 806725 = -20x - 694140", "Add 20x to both sides: 43x + 806725 = -694140", "Subtract 806725 from both sides: 43x = -1500865", "Divide both sides by 43: x = -1500865/43"], "final_answer": "-1500865/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 35075) = -20(x + 34707)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 35075, \"c\": -20, \"d\": 34707}", "seed": "11304848425750964336", "semantic_fingerprint": "sha256:d05dc11fa249c64036851359961f75c0859387733459b37db7d60dcbaef56576", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002285", "prompt": "Solve the equation 25(x + 53505) - 9772 = 24(x - 20034) + 16978 for x.", "solution_steps": ["Expand: 25x + 1337625 - 9772 = 24(x - 20034) + 16978", "Expand: 25x + 1337625 - 9772 = 24x - 480816 + 16978", "Combine constants: 25x + 1327853 = 24x - 480816 + 16978", "Combine constants: 25x + 1327853 = 24x - 463838", "Subtract 24x from both sides: x + 1327853 = -463838", "Subtract 1327853 from both sides: x = -1791691"], "final_answer": "-1791691", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 53505) - 9772 = 24(x - 20034) + 16978", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 53505, \"c\": 9772, \"d\": 24, \"e\": 20034, \"f\": 16978}", "seed": "15475446036474798769", "semantic_fingerprint": "sha256:a9a01c8d3827641ae2f0b05837ecb7ffa49d1f53b3f0682bf23ccd5a538e14e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002286", "prompt": "Solve for x: -34(x - 30124) = 21(x - 1323)", "solution_steps": ["Expand: -34x + 1024216 = 21(x - 1323)", "Expand: -34x + 1024216 = 21x - 27783", "Subtract 21x from both sides: -55x + 1024216 = -27783", "Subtract 1024216 from both sides: -55x = -1051999", "Divide both sides by -55: x = 1051999/55"], "final_answer": "1051999/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x - 30124) = 21(x - 1323)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 30124, \"c\": 21, \"d\": 1323}", "seed": "7079777652402437637", "semantic_fingerprint": "sha256:d5f67f02f56f4dbd13a3e51db6fdb44c000c07892d4241f1418d07d2685eec5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002287", "prompt": "Compute: -6010 / (-5121 + (-6426))", "solution_steps": ["Add: -5121 + (-6426) = -11547", "Divide: -6010 / (-11547) = 6010/11547"], "final_answer": "6010/11547", "answer_type": "rational", "kind": "expression", "math_text": "-6010 / (-5121 + (-6426))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6010, \"b\": -5121, \"c\": -6426}", "seed": "9348583648537969026", "semantic_fingerprint": "sha256:3d7bcdb285639a03c1a09fba083f8605205c970f27327e9ef98f039f70173e19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002288", "prompt": "Calculate: -9729 + (-5704) * (-73820) - (-2073)", "solution_steps": ["Multiply: -5704 * (-73820) = 421069280", "Add: -9729 + 421069280 = 421059551", "Subtract: 421059551 - (-2073) = 421061624"], "final_answer": "421061624", "answer_type": "integer", "kind": "expression", "math_text": "-9729 + (-5704) * (-73820) - (-2073)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9729, \"b\": -5704, \"c\": -73820, \"d\": -2073}", "seed": "11269934969189294194", "semantic_fingerprint": "sha256:e4248e17c21747d4b3d639e7fbc77df7b43c8d0759d3fc9e83857bd28bae1ade", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002289", "prompt": "Find x: 36x - 2928 = 30(x - 35328) - 5206", "solution_steps": ["Expand: 36x - 2928 = 30x - 1059840 - 5206", "Combine constants: 36x - 2928 = 30x - 1065046", "Subtract 30x from both sides: 6x - 2928 = -1065046", "Add 2928 to both sides: 6x = -1062118", "Divide both sides by 6: x = -531059/3"], "final_answer": "-531059/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x - 2928 = 30(x - 35328) - 5206", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 2928, \"c\": 30, \"d\": 35328, \"e\": 5206}", "seed": "5177862571770050796", "semantic_fingerprint": "sha256:647666a23aa03e936cc54f51798f11f5b8f3d124877a791173bd30e909e3dd94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002290", "prompt": "Compute: 7126 / (-21561)", "solution_steps": ["Divide: 7126 / (-21561) = -7126/21561"], "final_answer": "-7126/21561", "answer_type": "rational", "kind": "expression", "math_text": "7126 / (-21561)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7126, \"b\": -21561}", "seed": "853513111734079536", "semantic_fingerprint": "sha256:c7c14e4a648e515ddfb686736af4208abec4cb8323fa431e52415ef00d405444", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002291", "prompt": "What is (92616 - (-8074 - (-9568))) * (4992 / (-82587))?", "solution_steps": ["Subtract: -8074 - (-9568) = 1494", "Subtract: 92616 - 1494 = 91122", "Divide: 4992 / (-82587) = -1664/27529", "Multiply: 91122 * (-1664/27529) = -151627008/27529"], "final_answer": "-151627008/27529", "answer_type": "rational", "kind": "expression", "math_text": "(92616 - (-8074 - (-9568))) * (4992 / (-82587))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 92616, \"b\": -8074, \"c\": -9568, \"d\": 4992, \"e\": -82587}", "seed": "8270511945849640129", "semantic_fingerprint": "sha256:e890ef7cd8c07c3fc4846bd5ea0364b1db9c2d5a5a9ac3084726766950de3dd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002292", "prompt": "What value of x satisfies 37(x + 14440) = 14(x - 3457)?", "solution_steps": ["Expand: 37x + 534280 = 14(x - 3457)", "Expand: 37x + 534280 = 14x - 48398", "Subtract 14x from both sides: 23x + 534280 = -48398", "Subtract 534280 from both sides: 23x = -582678", "Divide both sides by 23: x = -582678/23"], "final_answer": "-582678/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 14440) = 14(x - 3457)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 14440, \"c\": 14, \"d\": 3457}", "seed": "18070990669315232003", "semantic_fingerprint": "sha256:6c2b8c5578d2eeba75031eb0faebe177238ef95cba8868243b65b12f47da79c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002293", "prompt": "Calculate: -7249 * ((-11015 - (-9918)) / (4816 - 3686))", "solution_steps": ["Subtract: -11015 - (-9918) = -1097", "Subtract: 4816 - 3686 = 1130", "Divide: -1097 / 1130 = -1097/1130", "Multiply: -7249 * (-1097/1130) = 7952153/1130"], "final_answer": "7952153/1130", "answer_type": "rational", "kind": "expression", "math_text": "-7249 * ((-11015 - (-9918)) / (4816 - 3686))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7249, \"b\": -11015, \"c\": -9918, \"d\": 4816, \"e\": 3686}", "seed": "13822403155273884568", "semantic_fingerprint": "sha256:a3c7edd882ebff82d1ec1a68e68ef27a74d2c55f83d6e78e99188dfda1398800", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002294", "prompt": "Compute: 10510 + (-9709 - (6840 + (-8891) - 7099))", "solution_steps": ["Add: 6840 + (-8891) = -2051", "Subtract: -2051 - 7099 = -9150", "Subtract: -9709 - (-9150) = -559", "Add: 10510 + (-559) = 9951"], "final_answer": "9951", "answer_type": "integer", "kind": "expression", "math_text": "10510 + (-9709 - (6840 + (-8891) - 7099))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 10510, \"b\": -9709, \"c\": 6840, \"d\": -8891, \"e\": 7099}", "seed": "9685041831827299221", "semantic_fingerprint": "sha256:757c358f74737d096c7fa017308b974941cc34dcf07f1595d441713c3239f9fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002295", "prompt": "Evaluate: 8687 * (-62543 + 99899)", "solution_steps": ["Add: -62543 + 99899 = 37356", "Multiply: 8687 * 37356 = 324511572"], "final_answer": "324511572", "answer_type": "integer", "kind": "expression", "math_text": "8687 * (-62543 + 99899)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8687, \"b\": -62543, \"c\": 99899}", "seed": "12550932035808434164", "semantic_fingerprint": "sha256:803f19119e4ec1d09db955f3f116829b98f9024d93fa704d714c068141a940ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002296", "prompt": "Calculate: 7031 + (-96222) + (-5591 - (-52263) + 26813)", "solution_steps": ["Add: 7031 + (-96222) = -89191", "Subtract: -5591 - (-52263) = 46672", "Add: 46672 + 26813 = 73485", "Add: -89191 + 73485 = -15706"], "final_answer": "-15706", "answer_type": "integer", "kind": "expression", "math_text": "7031 + (-96222) + (-5591 - (-52263) + 26813)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7031, \"b\": -96222, \"c\": -5591, \"d\": -52263, \"e\": 26813}", "seed": "4273293780788736037", "semantic_fingerprint": "sha256:eb10071f2cd5c0014fc5670119ec951f95b2c14f74e0796683dc7703860d4907", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002297", "prompt": "Calculate: -8726 + 4733 * (47469 / (8944 - (-7966)))", "solution_steps": ["Subtract: 8944 - (-7966) = 16910", "Divide: 47469 / 16910 = 47469/16910", "Multiply: 4733 * (47469/16910) = 224670777/16910", "Add: -8726 + 224670777/16910 = 77114117/16910"], "final_answer": "77114117/16910", "answer_type": "rational", "kind": "expression", "math_text": "-8726 + 4733 * (47469 / (8944 - (-7966)))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (/ n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8726, \"b\": 4733, \"c\": 47469, \"d\": 8944, \"e\": -7966}", "seed": "9873405963513516928", "semantic_fingerprint": "sha256:717e025f701bd719e6224d61419f65e1fd50fc67e9c62cfcb1842223b2e7d631", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002298", "prompt": "What is -2639 * (7137 + 3523)?", "solution_steps": ["Add: 7137 + 3523 = 10660", "Multiply: -2639 * 10660 = -28131740"], "final_answer": "-28131740", "answer_type": "integer", "kind": "expression", "math_text": "-2639 * (7137 + 3523)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2639, \"b\": 7137, \"c\": 3523}", "seed": "7992608632040308330", "semantic_fingerprint": "sha256:d84bf73cfbb2dfb8145027ef77f7f79eee7b93027535fad21ef6cfb7e44cd7d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002299", "prompt": "Compute: 4969 / 36829", "solution_steps": ["Divide: 4969 / 36829 = 4969/36829"], "final_answer": "4969/36829", "answer_type": "rational", "kind": "expression", "math_text": "4969 / 36829", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4969, \"b\": 36829}", "seed": "6689375017895438103", "semantic_fingerprint": "sha256:8908b34964af61601a6fd4830c5a8c9cca10ec56adebed5f8cb48680539df104", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002300", "prompt": "Evaluate: -30766 * (4181 + (-2265) - (-7307) / (-4461)) - 2500", "solution_steps": ["Add: 4181 + (-2265) = 1916", "Divide: -7307 / (-4461) = 7307/4461", "Subtract: 1916 - 7307/4461 = 8539969/4461", "Multiply: -30766 * (8539969/4461) = -262740686254/4461", "Subtract: -262740686254/4461 - 2500 = -262751838754/4461"], "final_answer": "-262751838754/4461", "answer_type": "rational", "kind": "expression", "math_text": "-30766 * (4181 + (-2265) - (-7307) / (-4461)) - 2500", "variable": null, "family": "expression_5op", "shape": "(- (* n (- (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30766, \"b\": 4181, \"c\": -2265, \"d\": -7307, \"e\": -4461, \"f\": 2500}", "seed": "16720602803909837985", "semantic_fingerprint": "sha256:878482a84fa5cf645e516b91d7c0bea99c09a20f755919e9b308debc7608c016", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002301", "prompt": "What is (-72349 + (-35716 - (-69465))) * 4661?", "solution_steps": ["Subtract: -35716 - (-69465) = 33749", "Add: -72349 + 33749 = -38600", "Multiply: -38600 * 4661 = -179914600"], "final_answer": "-179914600", "answer_type": "integer", "kind": "expression", "math_text": "(-72349 + (-35716 - (-69465))) * 4661", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -72349, \"b\": -35716, \"c\": -69465, \"d\": 4661}", "seed": "3632752976444091415", "semantic_fingerprint": "sha256:eab2100d5770561a0037aec9fa4bd957e3464169ef09ab3ee2ecb9d63d31173f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002302", "prompt": "What value of x satisfies -18(x - 3301) - 1863 = 40x + 50305?", "solution_steps": ["Expand: -18x + 59418 - 1863 = 40x + 50305", "Combine constants: -18x + 57555 = 40x + 50305", "Subtract 40x from both sides: -58x + 57555 = 50305", "Subtract 57555 from both sides: -58x = -7250", "Divide both sides by -58: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 3301) - 1863 = 40x + 50305", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 3301, \"c\": 1863, \"d\": 40, \"f\": 50305, \"x\": 125}", "seed": "7198197331054983452", "semantic_fingerprint": "sha256:1adb1419c09d29dc2fed9f312b6ae57d2a2a6360638932ef41f0a8bdf48a1739", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002303", "prompt": "Solve the equation 36x + 26233 = x for x.", "solution_steps": ["Subtract x from both sides: 35x + 26233 = 0", "Subtract 26233 from both sides: 35x = -26233", "Divide both sides by 35: x = -26233/35"], "final_answer": "-26233/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x + 26233 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 26233}", "seed": "6301659726747179994", "semantic_fingerprint": "sha256:4476c3c5a0e511b00a98b43ef30033697fa1567ec695f9a877c632ee65b14dd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002304", "prompt": "Calculate: 5764 * ((96108 - (-7469)) / 1758)", "solution_steps": ["Subtract: 96108 - (-7469) = 103577", "Divide: 103577 / 1758 = 103577/1758", "Multiply: 5764 * (103577/1758) = 298508914/879"], "final_answer": "298508914/879", "answer_type": "rational", "kind": "expression", "math_text": "5764 * ((96108 - (-7469)) / 1758)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5764, \"b\": 96108, \"c\": -7469, \"d\": 1758}", "seed": "17508975948000107346", "semantic_fingerprint": "sha256:0af58ae0758943f7f5e46350e342a2b5af5565d51d330c3b7bbac07819fc3e63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002305", "prompt": "Calculate: (-9053 + (-30671)) / 9655", "solution_steps": ["Add: -9053 + (-30671) = -39724", "Divide: -39724 / 9655 = -39724/9655"], "final_answer": "-39724/9655", "answer_type": "rational", "kind": "expression", "math_text": "(-9053 + (-30671)) / 9655", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9053, \"b\": -30671, \"c\": 9655}", "seed": "8948050341491562484", "semantic_fingerprint": "sha256:5873c1e1353a607641d9179ea87787d33e1404b921b07fd9958c055542008895", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002306", "prompt": "Solve for x: 33(x - 2812) - 4887 = 25x", "solution_steps": ["Expand: 33x - 92796 - 4887 = 25x", "Combine constants: 33x - 97683 = 25x", "Subtract 25x from both sides: 8x - 97683 = 0", "Add 97683 to both sides: 8x = 97683", "Divide both sides by 8: x = 97683/8"], "final_answer": "97683/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 2812) - 4887 = 25x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2812, \"c\": 4887, \"d\": 25}", "seed": "8354311647257202522", "semantic_fingerprint": "sha256:b615cd44560796fe958de1de772c268fdbb39b8f648b0e8fd9b9bb8c1e440d71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002307", "prompt": "Find x: -22x - 3247 = 37x + 8553", "solution_steps": ["Subtract 37x from both sides: -59x - 3247 = 8553", "Add 3247 to both sides: -59x = 11800", "Divide both sides by -59: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x - 3247 = 37x + 8553", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 3247, \"c\": 37, \"e\": 8553, \"x\": -200}", "seed": "2503157604499165569", "semantic_fingerprint": "sha256:2d6e6cf3f17b20a6f8c23d9a614847f2e65d93dfb62bb330a11d157e99abe653", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002308", "prompt": "Compute: 2450 + 8431", "solution_steps": ["Add: 2450 + 8431 = 10881"], "final_answer": "10881", "answer_type": "integer", "kind": "expression", "math_text": "2450 + 8431", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2450, \"b\": 8431}", "seed": "4690123749091549149", "semantic_fingerprint": "sha256:67c1cb5dba24055ef9f9e2cee1a1003978c4247c2dcde5737338cf7f31674568", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002309", "prompt": "What is -9720 - 2407 + (-69308)?", "solution_steps": ["Subtract: -9720 - 2407 = -12127", "Add: -12127 + (-69308) = -81435"], "final_answer": "-81435", "answer_type": "integer", "kind": "expression", "math_text": "-9720 - 2407 + (-69308)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9720, \"b\": 2407, \"c\": -69308}", "seed": "13380303657700030672", "semantic_fingerprint": "sha256:f3163f919c6428afbd8b96af10210b3c8251e7bfb3befa22d33678d698f4df2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002310", "prompt": "Calculate: -43158 + (-5307) / 9366 - 2361", "solution_steps": ["Divide: -5307 / 9366 = -1769/3122", "Add: -43158 + (-1769/3122) = -134741045/3122", "Subtract: -134741045/3122 - 2361 = -142112087/3122"], "final_answer": "-142112087/3122", "answer_type": "rational", "kind": "expression", "math_text": "-43158 + (-5307) / 9366 - 2361", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -43158, \"b\": -5307, \"c\": 9366, \"d\": 2361}", "seed": "1496404891512027249", "semantic_fingerprint": "sha256:799cd9a328bfac707f8c2aff170f2823b9104498b20b7b11fe8bff99457f14fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002311", "prompt": "Calculate: 58223 - (-3103) - (-33005 + 56818 / (-89685))", "solution_steps": ["Subtract: 58223 - (-3103) = 61326", "Divide: 56818 / (-89685) = -56818/89685", "Add: -33005 + (-56818/89685) = -2960110243/89685", "Subtract: 61326 - (-2960110243/89685) = 8460132553/89685"], "final_answer": "8460132553/89685", "answer_type": "rational", "kind": "expression", "math_text": "58223 - (-3103) - (-33005 + 56818 / (-89685))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 58223, \"b\": -3103, \"c\": -33005, \"d\": 56818, \"e\": -89685}", "seed": "3502307807929772107", "semantic_fingerprint": "sha256:4bc7a5d10f422017d22c5926c157d7c34af049782e5aea436f01716df4842071", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002312", "prompt": "Solve for x: -23x - 8115 = -11105", "solution_steps": ["Add 8115 to both sides: -23x = -2990", "Divide both sides by -23: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x - 8115 = -11105", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 8115, \"d\": -11105, \"x\": 130}", "seed": "14779993401197462568", "semantic_fingerprint": "sha256:4d996f2a795c00e6e206451ac4e8b08ebdbf130dfd7a185e1d5f85e91c43616f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002313", "prompt": "Compute: (9346 * 6681 + (78896 - 2011) + 9059) / 70917", "solution_steps": ["Multiply: 9346 * 6681 = 62440626", "Subtract: 78896 - 2011 = 76885", "Add: 62440626 + 76885 = 62517511", "Add: 62517511 + 9059 = 62526570", "Divide: 62526570 / 70917 = 20842190/23639"], "final_answer": "20842190/23639", "answer_type": "rational", "kind": "expression", "math_text": "(9346 * 6681 + (78896 - 2011) + 9059) / 70917", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (* n n) (- n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9346, \"b\": 6681, \"c\": 78896, \"d\": 2011, \"e\": 9059, \"f\": 70917}", "seed": "651040061537587526", "semantic_fingerprint": "sha256:30bb0f9b1c9c64a9c16d359bf03ad23f4f53d9dc60adcad16b1eb6178f5873e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002314", "prompt": "Calculate: -61290 + 9078 + (-3934)", "solution_steps": ["Add: -61290 + 9078 = -52212", "Add: -52212 + (-3934) = -56146"], "final_answer": "-56146", "answer_type": "integer", "kind": "expression", "math_text": "-61290 + 9078 + (-3934)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -61290, \"b\": 9078, \"c\": -3934}", "seed": "766418392114029846", "semantic_fingerprint": "sha256:7d8f6efb912ebdb69f9654e6842f45b8a06951077556bc9ce599de53917228cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002315", "prompt": "Solve for x: 39(x - 2291) + 86421 = -22x", "solution_steps": ["Expand: 39x - 89349 + 86421 = -22x", "Combine constants: 39x - 2928 = -22x", "Add 22x to both sides: 61x - 2928 = 0", "Add 2928 to both sides: 61x = 2928", "Divide both sides by 61: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x - 2291) + 86421 = -22x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 2291, \"c\": -22, \"e\": 86421, \"x\": 48}", "seed": "5928108412049486191", "semantic_fingerprint": "sha256:4abd92bf060f5c3858ad2a770add9bbdbc13788d1bd6abac05cb5f8767330372", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002316", "prompt": "Compute: (-16924 + 3908) * 6923", "solution_steps": ["Add: -16924 + 3908 = -13016", "Multiply: -13016 * 6923 = -90109768"], "final_answer": "-90109768", "answer_type": "integer", "kind": "expression", "math_text": "(-16924 + 3908) * 6923", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16924, \"b\": 3908, \"c\": 6923}", "seed": "1756024335207424366", "semantic_fingerprint": "sha256:d47e847ac5420fcdee4d356e6a461fdb85990b0f461662eb7ab64f20cc5c9433", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002317", "prompt": "Compute: -7519 + 82555", "solution_steps": ["Add: -7519 + 82555 = 75036"], "final_answer": "75036", "answer_type": "integer", "kind": "expression", "math_text": "-7519 + 82555", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7519, \"b\": 82555}", "seed": "7563323815689660219", "semantic_fingerprint": "sha256:1f7b86ee72ea41f57e07410b682b61c79605087efff4559b141a5d2df07c72f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002318", "prompt": "Solve the equation 19(x + 1239) = x + 26241 for x.", "solution_steps": ["Expand: 19x + 23541 = x + 26241", "Subtract x from both sides: 18x + 23541 = 26241", "Subtract 23541 from both sides: 18x = 2700", "Divide both sides by 18: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 1239) = x + 26241", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1239, \"d\": 26241, \"x\": 150}", "seed": "6369102652044681735", "semantic_fingerprint": "sha256:6c472311564e9c1a265dcfc9eda302029bb37913e24fae73061b3a44e8b054be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002319", "prompt": "Calculate: (-8046 - (-88365)) / 92481", "solution_steps": ["Subtract: -8046 - (-88365) = 80319", "Divide: 80319 / 92481 = 26773/30827"], "final_answer": "26773/30827", "answer_type": "rational", "kind": "expression", "math_text": "(-8046 - (-88365)) / 92481", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8046, \"b\": -88365, \"c\": 92481}", "seed": "11321054993366182880", "semantic_fingerprint": "sha256:cab8de514ad81d4bd90fa2e52893460634cc5f44f3e7d029ef9a7aabac34295e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002320", "prompt": "Compute: (-7337 - 3521 - (-9693)) / (-2287 - 91627)", "solution_steps": ["Subtract: -7337 - 3521 = -10858", "Subtract: -10858 - (-9693) = -1165", "Subtract: -2287 - 91627 = -93914", "Divide: -1165 / (-93914) = 1165/93914"], "final_answer": "1165/93914", "answer_type": "rational", "kind": "expression", "math_text": "(-7337 - 3521 - (-9693)) / (-2287 - 91627)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7337, \"b\": 3521, \"c\": -9693, \"d\": -2287, \"e\": 91627}", "seed": "16236092395682745936", "semantic_fingerprint": "sha256:49de6a7571c894bccc4ae65cb6127321c0f253a8dc13970ae8fe9c94f251e1a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002321", "prompt": "Evaluate: -3878 - 17366 + (7842 - (-8890))", "solution_steps": ["Subtract: -3878 - 17366 = -21244", "Subtract: 7842 - (-8890) = 16732", "Add: -21244 + 16732 = -4512"], "final_answer": "-4512", "answer_type": "integer", "kind": "expression", "math_text": "-3878 - 17366 + (7842 - (-8890))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3878, \"b\": 17366, \"c\": 7842, \"d\": -8890}", "seed": "15610154019803199275", "semantic_fingerprint": "sha256:082c39624f5bae0d30fb9e5ce67ac32bfa1925f531e3464e899715072a32df57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002322", "prompt": "What is -2453 - 4783 / 1213?", "solution_steps": ["Divide: 4783 / 1213 = 4783/1213", "Subtract: -2453 - 4783/1213 = -2980272/1213"], "final_answer": "-2980272/1213", "answer_type": "rational", "kind": "expression", "math_text": "-2453 - 4783 / 1213", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2453, \"b\": 4783, \"c\": 1213}", "seed": "1238636467636622615", "semantic_fingerprint": "sha256:73f150abb160360ebb90228ff6fcdb5143a0a685840d2955933850103c773711", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002323", "prompt": "Solve the equation 18x - 6925 = -5233 for x.", "solution_steps": ["Add 6925 to both sides: 18x = 1692", "Divide both sides by 18: x = 94"], "final_answer": "94", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x - 6925 = -5233", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 6925, \"d\": -5233, \"x\": 94}", "seed": "10169196903976475641", "semantic_fingerprint": "sha256:844d672e7f21d32d18161f344a09acbf4312028bee49742e3ebd34f7e5599e71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002324", "prompt": "What is -49002 / (-9752 + (-96014 - 62729)) - 7654?", "solution_steps": ["Subtract: -96014 - 62729 = -158743", "Add: -9752 + (-158743) = -168495", "Divide: -49002 / (-168495) = 16334/56165", "Subtract: 16334/56165 - 7654 = -429870576/56165"], "final_answer": "-429870576/56165", "answer_type": "rational", "kind": "expression", "math_text": "-49002 / (-9752 + (-96014 - 62729)) - 7654", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -49002, \"b\": -9752, \"c\": -96014, \"d\": 62729, \"e\": 7654}", "seed": "9007971634478575467", "semantic_fingerprint": "sha256:1abfa08cf240e487f93c95d89fa059a97d5e238de9244f55cc90a9989753f12b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002325", "prompt": "Evaluate: -6942 * (18401 - 45610)", "solution_steps": ["Subtract: 18401 - 45610 = -27209", "Multiply: -6942 * (-27209) = 188884878"], "final_answer": "188884878", "answer_type": "integer", "kind": "expression", "math_text": "-6942 * (18401 - 45610)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6942, \"b\": 18401, \"c\": 45610}", "seed": "7664770707318738781", "semantic_fingerprint": "sha256:b01f6c5863c0ba874a9c6f25ab02e75f64bf2f9bb3f0b40249676f659813a685", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002326", "prompt": "Compute: 5398 + 5477 - 91688", "solution_steps": ["Add: 5398 + 5477 = 10875", "Subtract: 10875 - 91688 = -80813"], "final_answer": "-80813", "answer_type": "integer", "kind": "expression", "math_text": "5398 + 5477 - 91688", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5398, \"b\": 5477, \"c\": 91688}", "seed": "3436345432127936954", "semantic_fingerprint": "sha256:554ea344b45c9fa7b49812f4de9221d33116c6b66cfff32d3cb9d1ff50087128", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002327", "prompt": "Calculate: -1292 * ((2565 - 12130) / (1347 + (-81950))) * 1294", "solution_steps": ["Subtract: 2565 - 12130 = -9565", "Add: 1347 + (-81950) = -80603", "Divide: -9565 / (-80603) = 9565/80603", "Multiply: -1292 * (9565/80603) = -12357980/80603", "Multiply: (-12357980/80603) * 1294 = -15991226120/80603"], "final_answer": "-15991226120/80603", "answer_type": "rational", "kind": "expression", "math_text": "-1292 * ((2565 - 12130) / (1347 + (-81950))) * 1294", "variable": null, "family": "expression_5op", "shape": "(* (* n (/ (- n n) (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1292, \"b\": 2565, \"c\": 12130, \"d\": 1347, \"e\": -81950, \"f\": 1294}", "seed": "17951013963464491319", "semantic_fingerprint": "sha256:615035fab87667b93ed45ae72b2acd7f3b37dbe60c51d105433c364b41bad0b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002328", "prompt": "Solve for x: 31(x + 89234) = -19(x + 34050)", "solution_steps": ["Expand: 31x + 2766254 = -19(x + 34050)", "Expand: 31x + 2766254 = -19x - 646950", "Add 19x to both sides: 50x + 2766254 = -646950", "Subtract 2766254 from both sides: 50x = -3413204", "Divide both sides by 50: x = -1706602/25"], "final_answer": "-1706602/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 89234) = -19(x + 34050)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 89234, \"c\": -19, \"d\": 34050}", "seed": "7704361987624328883", "semantic_fingerprint": "sha256:eb5616a8afb199d9a373ea9460b6a1d608b745f894aafd2fab15938a282f794a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002329", "prompt": "Calculate: -93325 + (-24227)", "solution_steps": ["Add: -93325 + (-24227) = -117552"], "final_answer": "-117552", "answer_type": "integer", "kind": "expression", "math_text": "-93325 + (-24227)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -93325, \"b\": -24227}", "seed": "4946176747514161027", "semantic_fingerprint": "sha256:12478b0441e8b0f383c4329747a2c04a80c93ce23156770c079cf6f7e828f63c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002330", "prompt": "Find x: 34(x + 8956) = 1259", "solution_steps": ["Expand: 34x + 304504 = 1259", "Subtract 304504 from both sides: 34x = -303245", "Divide both sides by 34: x = -303245/34"], "final_answer": "-303245/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 8956) = 1259", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 8956, \"c\": 1259}", "seed": "8383870294394997642", "semantic_fingerprint": "sha256:f9a861962a1a58c0316a3d72dd98752db6772bf0a764bdacd6c6e8f796e2805c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002331", "prompt": "Calculate: 9136 - 93268 - (-45664) * (-3785)", "solution_steps": ["Subtract: 9136 - 93268 = -84132", "Multiply: -45664 * (-3785) = 172838240", "Subtract: -84132 - 172838240 = -172922372"], "final_answer": "-172922372", "answer_type": "integer", "kind": "expression", "math_text": "9136 - 93268 - (-45664) * (-3785)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9136, \"b\": 93268, \"c\": -45664, \"d\": -3785}", "seed": "791760233549498061", "semantic_fingerprint": "sha256:c66a050e21aa89b122a9dfaa83b13dcbec922344b2c96dad3dce5ac234ce4e89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002332", "prompt": "What value of x satisfies 17(x - 23002) = 20(x - 47646)?", "solution_steps": ["Expand: 17x - 391034 = 20(x - 47646)", "Expand: 17x - 391034 = 20x - 952920", "Subtract 20x from both sides: -3x - 391034 = -952920", "Add 391034 to both sides: -3x = -561886", "Divide both sides by -3: x = 561886/3"], "final_answer": "561886/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 23002) = 20(x - 47646)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 23002, \"c\": 20, \"d\": 47646}", "seed": "7506033000888881293", "semantic_fingerprint": "sha256:0f9d814da4f9e38e21d7abb9c8577458bb981262fb72bccfdef2efe120c33a4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002333", "prompt": "Find x: 33(x + 15992) + 62241 = -24x - 67195", "solution_steps": ["Expand: 33x + 527736 + 62241 = -24x - 67195", "Combine constants: 33x + 589977 = -24x - 67195", "Add 24x to both sides: 57x + 589977 = -67195", "Subtract 589977 from both sides: 57x = -657172", "Divide both sides by 57: x = -34588/3"], "final_answer": "-34588/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 15992) + 62241 = -24x - 67195", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 15992, \"c\": 62241, \"d\": -24, \"e\": 67195}", "seed": "6466040089960710281", "semantic_fingerprint": "sha256:6ce305c72506ec600e34331f2c092001f652ca5a13ac0ace124eccfe8d3d27e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002334", "prompt": "Solve for x: 23x + 89135 = 32(x - 65927) - 29957", "solution_steps": ["Expand: 23x + 89135 = 32x - 2109664 - 29957", "Combine constants: 23x + 89135 = 32x - 2139621", "Subtract 32x from both sides: -9x + 89135 = -2139621", "Subtract 89135 from both sides: -9x = -2228756", "Divide both sides by -9: x = 2228756/9"], "final_answer": "2228756/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 89135 = 32(x - 65927) - 29957", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 89135, \"c\": 32, \"d\": 65927, \"e\": 29957}", "seed": "7732758457152649446", "semantic_fingerprint": "sha256:3afd83b5cd5ac2d12bff4c9bda4e4a1588490bef97378582386a2576ddf44c01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002335", "prompt": "Calculate: 1008 * (-38315)", "solution_steps": ["Multiply: 1008 * (-38315) = -38621520"], "final_answer": "-38621520", "answer_type": "integer", "kind": "expression", "math_text": "1008 * (-38315)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1008, \"b\": -38315}", "seed": "5863384296744933327", "semantic_fingerprint": "sha256:c9fbb1a0e14c7ff7d31b75fc0f988ba754a1a4c5c06f8d2f86661459354907ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002336", "prompt": "What is (20475 + (-5888)) * 2610?", "solution_steps": ["Add: 20475 + (-5888) = 14587", "Multiply: 14587 * 2610 = 38072070"], "final_answer": "38072070", "answer_type": "integer", "kind": "expression", "math_text": "(20475 + (-5888)) * 2610", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20475, \"b\": -5888, \"c\": 2610}", "seed": "4524067727492688421", "semantic_fingerprint": "sha256:83bc31777f22f7136b8910fda5571b5280cd212942fef067f43f95df25a9ab62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002337", "prompt": "Compute: -8839 * (-23895)", "solution_steps": ["Multiply: -8839 * (-23895) = 211207905"], "final_answer": "211207905", "answer_type": "integer", "kind": "expression", "math_text": "-8839 * (-23895)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8839, \"b\": -23895}", "seed": "17789894732934531969", "semantic_fingerprint": "sha256:1c2d9a9b6cbc972eaaac3e6e79e23041ff54c7f4c012ac53cc4cc6a44d4cf8bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002338", "prompt": "Calculate: 93033 * (-3363) / (-31218 - 1248 - (-3570))", "solution_steps": ["Multiply: 93033 * (-3363) = -312869979", "Subtract: -31218 - 1248 = -32466", "Subtract: -32466 - (-3570) = -28896", "Divide: -312869979 / (-28896) = 104289993/9632"], "final_answer": "104289993/9632", "answer_type": "rational", "kind": "expression", "math_text": "93033 * (-3363) / (-31218 - 1248 - (-3570))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 93033, \"b\": -3363, \"c\": -31218, \"d\": 1248, \"e\": -3570}", "seed": "15127814915310407242", "semantic_fingerprint": "sha256:195d3461a1624835cee3a0cfabffb278365b801498e2e29e5a40d55a844a9009", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002339", "prompt": "Compute: 4408 + (8401 - 5619)", "solution_steps": ["Subtract: 8401 - 5619 = 2782", "Add: 4408 + 2782 = 7190"], "final_answer": "7190", "answer_type": "integer", "kind": "expression", "math_text": "4408 + (8401 - 5619)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4408, \"b\": 8401, \"c\": 5619}", "seed": "3223755977588978237", "semantic_fingerprint": "sha256:0bf9b9343a5a3b51598f40e8a4ead5cd3aadfa07f6eb87d838fec70367bef3ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002340", "prompt": "Evaluate: -1556 * (-1245) - 7484 / (-1956) * (3820 - (-5408))", "solution_steps": ["Multiply: -1556 * (-1245) = 1937220", "Divide: 7484 / (-1956) = -1871/489", "Subtract: 3820 - (-5408) = 9228", "Multiply: (-1871/489) * 9228 = -5755196/163", "Subtract: 1937220 - (-5755196/163) = 321522056/163"], "final_answer": "321522056/163", "answer_type": "rational", "kind": "expression", "math_text": "-1556 * (-1245) - 7484 / (-1956) * (3820 - (-5408))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (/ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1556, \"b\": -1245, \"c\": 7484, \"d\": -1956, \"e\": 3820, \"f\": -5408}", "seed": "2761436116201005926", "semantic_fingerprint": "sha256:1f47289ade157631ee4d47e40727ba099251517908ac2c6c84df310abc00ac5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002341", "prompt": "What is -5794 - 57010 + (-9103)?", "solution_steps": ["Subtract: -5794 - 57010 = -62804", "Add: -62804 + (-9103) = -71907"], "final_answer": "-71907", "answer_type": "integer", "kind": "expression", "math_text": "-5794 - 57010 + (-9103)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5794, \"b\": 57010, \"c\": -9103}", "seed": "1257974490466019090", "semantic_fingerprint": "sha256:adb696924825155047f8735cf6dc2dfd7da18d06c16baced9e929b0f161d8899", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002342", "prompt": "Calculate: 4729 * ((-36635 + 75295) / (1156 - 81372 + (-7808)))", "solution_steps": ["Add: -36635 + 75295 = 38660", "Subtract: 1156 - 81372 = -80216", "Add: -80216 + (-7808) = -88024", "Divide: 38660 / (-88024) = -9665/22006", "Multiply: 4729 * (-9665/22006) = -45705785/22006"], "final_answer": "-45705785/22006", "answer_type": "rational", "kind": "expression", "math_text": "4729 * ((-36635 + 75295) / (1156 - 81372 + (-7808)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4729, \"b\": -36635, \"c\": 75295, \"d\": 1156, \"e\": 81372, \"f\": -7808}", "seed": "1806513049057332602", "semantic_fingerprint": "sha256:d02b5d373893c97cdcf4725d075eb6eed6732726c7bc478d4c3d1426fa48427d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002343", "prompt": "Find x: 19(x - 75781) = 13(x + 19443) - 27383", "solution_steps": ["Expand: 19x - 1439839 = 13(x + 19443) - 27383", "Expand: 19x - 1439839 = 13x + 252759 - 27383", "Combine constants: 19x - 1439839 = 13x + 225376", "Subtract 13x from both sides: 6x - 1439839 = 225376", "Add 1439839 to both sides: 6x = 1665215", "Divide both sides by 6: x = 1665215/6"], "final_answer": "1665215/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 75781) = 13(x + 19443) - 27383", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 75781, \"c\": 13, \"d\": 19443, \"e\": 27383}", "seed": "7794346113272356069", "semantic_fingerprint": "sha256:732ef5944172e0377130cbe4f8f7fa60bab8a35f2a0ff8ecb5c1f76f232daf6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002344", "prompt": "Solve the equation -17x = 21(x + 1240) for x.", "solution_steps": ["Expand: -17x = 21x + 26040", "Subtract 21x from both sides: -38x = 26040", "Divide both sides by -38: x = -13020/19"], "final_answer": "-13020/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x = 21(x + 1240)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 21, \"c\": 1240}", "seed": "6004350795422470870", "semantic_fingerprint": "sha256:30e49108c7a703e30253452d5d80eb410f4a033b74258b690ddbd3646b608130", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002345", "prompt": "What is -7161 - 2565 + (-93311 - (-32341 + 55587))?", "solution_steps": ["Subtract: -7161 - 2565 = -9726", "Add: -32341 + 55587 = 23246", "Subtract: -93311 - 23246 = -116557", "Add: -9726 + (-116557) = -126283"], "final_answer": "-126283", "answer_type": "integer", "kind": "expression", "math_text": "-7161 - 2565 + (-93311 - (-32341 + 55587))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7161, \"b\": 2565, \"c\": -93311, \"d\": -32341, \"e\": 55587}", "seed": "13499304574020236938", "semantic_fingerprint": "sha256:4d7b1e3788bf32201b37b1c1bae2710eeaac7f7b20c75705907374545ce3f174", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002346", "prompt": "Solve for x: x + 33634 = 31x + 34474", "solution_steps": ["Subtract 31x from both sides: -30x + 33634 = 34474", "Subtract 33634 from both sides: -30x = 840", "Divide both sides by -30: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33634 = 31x + 34474", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33634, \"b\": 31, \"d\": 34474, \"x\": -28}", "seed": "12585208340823162276", "semantic_fingerprint": "sha256:2135a56687b8ce744182f06a8e8de1b3ba9da9919e549bb194b91fde73e83a1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002347", "prompt": "What is 9201 * 6531 - (-3121)?", "solution_steps": ["Multiply: 9201 * 6531 = 60091731", "Subtract: 60091731 - (-3121) = 60094852"], "final_answer": "60094852", "answer_type": "integer", "kind": "expression", "math_text": "9201 * 6531 - (-3121)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9201, \"b\": 6531, \"c\": -3121}", "seed": "17377055264243697867", "semantic_fingerprint": "sha256:4d09d92710573bfaba97e2808a3379968535adf3109a88954fb23c2768a05506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002348", "prompt": "What is 6817 * (9521 + (-33666)) / 72008?", "solution_steps": ["Add: 9521 + (-33666) = -24145", "Multiply: 6817 * (-24145) = -164596465", "Divide: -164596465 / 72008 = -164596465/72008"], "final_answer": "-164596465/72008", "answer_type": "rational", "kind": "expression", "math_text": "6817 * (9521 + (-33666)) / 72008", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6817, \"b\": 9521, \"c\": -33666, \"d\": 72008}", "seed": "13319837457895388166", "semantic_fingerprint": "sha256:282e753140bce44a4bd892b1bb882291b17fd49f7abb0d710882fc9c635f7da3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002349", "prompt": "What is (66050 + (-45227)) * (-18671)?", "solution_steps": ["Add: 66050 + (-45227) = 20823", "Multiply: 20823 * (-18671) = -388786233"], "final_answer": "-388786233", "answer_type": "integer", "kind": "expression", "math_text": "(66050 + (-45227)) * (-18671)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66050, \"b\": -45227, \"c\": -18671}", "seed": "4848073000459961793", "semantic_fingerprint": "sha256:b5c1e6ca1c3b9a27e089c2069f97fb814cecd808a7c12dd419a2fd01ff03acb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002350", "prompt": "Calculate: -8783 + (-2351 + 31492)", "solution_steps": ["Add: -2351 + 31492 = 29141", "Add: -8783 + 29141 = 20358"], "final_answer": "20358", "answer_type": "integer", "kind": "expression", "math_text": "-8783 + (-2351 + 31492)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8783, \"b\": -2351, \"c\": 31492}", "seed": "12680812822558275013", "semantic_fingerprint": "sha256:481113533b35e456ff6dd0c429bf08935d468a749cac9f75a6276858c25b5fd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002351", "prompt": "Calculate: (-1168 - 10562) / (-4182)", "solution_steps": ["Subtract: -1168 - 10562 = -11730", "Divide: -11730 / (-4182) = 115/41"], "final_answer": "115/41", "answer_type": "rational", "kind": "expression", "math_text": "(-1168 - 10562) / (-4182)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1168, \"b\": 10562, \"c\": -4182}", "seed": "10392239851520795582", "semantic_fingerprint": "sha256:42b6d1de2687fd56a7ea70eb5ebb3ae6412a883dcc2e08608d3c31bc5d5d4029", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002352", "prompt": "Compute: -12254 * 4894", "solution_steps": ["Multiply: -12254 * 4894 = -59971076"], "final_answer": "-59971076", "answer_type": "integer", "kind": "expression", "math_text": "-12254 * 4894", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -12254, \"b\": 4894}", "seed": "12465329353358252695", "semantic_fingerprint": "sha256:f2935e0dac002d73fb0855c3914be7e9c67d8e8c18652ea114281d50e2bf8a2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002353", "prompt": "Find x: -20x = 25x", "solution_steps": ["Subtract 25x from both sides: -45x = 0", "Divide both sides by -45: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = 25x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 25}", "seed": "3908442682655916960", "semantic_fingerprint": "sha256:6c710004460b628e7f9afe69e44c094a4caf9dfb882d3c1504cd187dcc2572cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002354", "prompt": "Calculate: 8370 - (-98155) + (5567 + 7596)", "solution_steps": ["Subtract: 8370 - (-98155) = 106525", "Add: 5567 + 7596 = 13163", "Add: 106525 + 13163 = 119688"], "final_answer": "119688", "answer_type": "integer", "kind": "expression", "math_text": "8370 - (-98155) + (5567 + 7596)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8370, \"b\": -98155, \"c\": 5567, \"d\": 7596}", "seed": "8589894233007681351", "semantic_fingerprint": "sha256:b3fc6273e0fc9099abbe397a86b15511327f95b18f62de6e18794df7af066994", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002355", "prompt": "Solve for x: -27x = 33x + 81032", "solution_steps": ["Subtract 33x from both sides: -60x = 81032", "Divide both sides by -60: x = -20258/15"], "final_answer": "-20258/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x = 33x + 81032", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 33, \"c\": 81032}", "seed": "12436073425326467197", "semantic_fingerprint": "sha256:4d118c5dbdfaa1dd6b63543a82f2480c4838c28b0fe205f66bb538758bbe3b8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002356", "prompt": "Compute: -34396 + 9875", "solution_steps": ["Add: -34396 + 9875 = -24521"], "final_answer": "-24521", "answer_type": "integer", "kind": "expression", "math_text": "-34396 + 9875", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -34396, \"b\": 9875}", "seed": "6314158420613188734", "semantic_fingerprint": "sha256:3622d0a6fad473c9200e5f14c2b517fd50560ce94c5bda4f199cb2a4613b2857", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002357", "prompt": "Solve the equation 25x + 66635 = 24x + 66784 for x.", "solution_steps": ["Subtract 24x from both sides: x + 66635 = 66784", "Subtract 66635 from both sides: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 66635 = 24x + 66784", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 66635, \"c\": 24, \"e\": 66784, \"x\": 149}", "seed": "15426380319983838960", "semantic_fingerprint": "sha256:bb02fd11e21de359cc78a55f7649fdd90576054e9154ea40387668ed25841241", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002358", "prompt": "Evaluate: 6343 * 1477", "solution_steps": ["Multiply: 6343 * 1477 = 9368611"], "final_answer": "9368611", "answer_type": "integer", "kind": "expression", "math_text": "6343 * 1477", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6343, \"b\": 1477}", "seed": "11446449462360228752", "semantic_fingerprint": "sha256:e6af6841682a29e96175e510d5121443e5a41ca2cb002b9cafde3c5dec42e029", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002359", "prompt": "Evaluate: 7626 - (-63439)", "solution_steps": ["Subtract: 7626 - (-63439) = 71065"], "final_answer": "71065", "answer_type": "integer", "kind": "expression", "math_text": "7626 - (-63439)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7626, \"b\": -63439}", "seed": "1867238954594534057", "semantic_fingerprint": "sha256:1160a132abed9b50bc6144f8f7a3c6faf6e03aed2ae3a886e0eadcec7b14c765", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002360", "prompt": "Solve the equation -25(x + 71316) - 2552 = 37(x + 95393) - 9199 for x.", "solution_steps": ["Expand: -25x - 1782900 - 2552 = 37(x + 95393) - 9199", "Expand: -25x - 1782900 - 2552 = 37x + 3529541 - 9199", "Combine constants: -25x - 1785452 = 37x + 3529541 - 9199", "Combine constants: -25x - 1785452 = 37x + 3520342", "Subtract 37x from both sides: -62x - 1785452 = 3520342", "Add 1785452 to both sides: -62x = 5305794", "Divide both sides by -62: x = -2652897/31"], "final_answer": "-2652897/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 71316) - 2552 = 37(x + 95393) - 9199", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 71316, \"c\": 2552, \"d\": 37, \"e\": 95393, \"f\": 9199}", "seed": "10028353868496570715", "semantic_fingerprint": "sha256:99fa1c006ac4a5ca59b1e057b8c390d9246e37ef1646decc35fe29bec077865b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002361", "prompt": "Evaluate: 4686 - (-69055) - 5597 / 17456", "solution_steps": ["Subtract: 4686 - (-69055) = 73741", "Divide: 5597 / 17456 = 5597/17456", "Subtract: 73741 - 5597/17456 = 1287217299/17456"], "final_answer": "1287217299/17456", "answer_type": "rational", "kind": "expression", "math_text": "4686 - (-69055) - 5597 / 17456", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4686, \"b\": -69055, \"c\": 5597, \"d\": 17456}", "seed": "7755515167300997861", "semantic_fingerprint": "sha256:0be083de25ee1be676d33505ae52f6079f25fd8efb371bacec31012eb89c1e5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002362", "prompt": "What is -3566 * 82231?", "solution_steps": ["Multiply: -3566 * 82231 = -293235746"], "final_answer": "-293235746", "answer_type": "integer", "kind": "expression", "math_text": "-3566 * 82231", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3566, \"b\": 82231}", "seed": "17533318517823906514", "semantic_fingerprint": "sha256:8bd9f8812c77e53553e450e9c6b2e5fda2832827c59875c0cf5b2b89665ef19f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002363", "prompt": "Solve the equation x + 91014 = 37x + 92310 for x.", "solution_steps": ["Subtract 37x from both sides: -36x + 91014 = 92310", "Subtract 91014 from both sides: -36x = 1296", "Divide both sides by -36: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 91014 = 37x + 92310", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 91014, \"b\": 37, \"d\": 92310, \"x\": -36}", "seed": "3373730465673971651", "semantic_fingerprint": "sha256:fbbb285cb8f578de630e093f90ea5385ac2ad1c12d71f9e25186dc894d0d812a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002364", "prompt": "Compute: -47191 / (-1662 / (-92017))", "solution_steps": ["Divide: -1662 / (-92017) = 1662/92017", "Divide: -47191 / (1662/92017) = -4342374247/1662"], "final_answer": "-4342374247/1662", "answer_type": "rational", "kind": "expression", "math_text": "-47191 / (-1662 / (-92017))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47191, \"b\": -1662, \"c\": -92017}", "seed": "10020412275022394863", "semantic_fingerprint": "sha256:9051c3b53ee9f0926408ce29aa56db833aad9401e4128cc6fc0048a34bc108ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002365", "prompt": "What is 69735 * (-6281 + (-40211) + (-1208 + 7783 + 6094))?", "solution_steps": ["Add: -6281 + (-40211) = -46492", "Add: -1208 + 7783 = 6575", "Add: 6575 + 6094 = 12669", "Add: -46492 + 12669 = -33823", "Multiply: 69735 * (-33823) = -2358646905"], "final_answer": "-2358646905", "answer_type": "integer", "kind": "expression", "math_text": "69735 * (-6281 + (-40211) + (-1208 + 7783 + 6094))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 69735, \"b\": -6281, \"c\": -40211, \"d\": -1208, \"e\": 7783, \"f\": 6094}", "seed": "12654908838109028335", "semantic_fingerprint": "sha256:a74cbccf5a637282af69bca3921ce74acd3419cac57c5db548374705f1006a74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002366", "prompt": "Find x: x = 16x - 59144", "solution_steps": ["Subtract 16x from both sides: -15x = -59144", "Divide both sides by -15: x = 59144/15"], "final_answer": "59144/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 16x - 59144", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 59144}", "seed": "9801196482708836275", "semantic_fingerprint": "sha256:d8a3dbad9158f5cfb3b2dbc450edce7c2cfe0f17340143ebdf41b44b3a240f58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002367", "prompt": "Compute: ((-73345 - (-59256)) * (-21891) + (-8277)) / (31073 + 1485)", "solution_steps": ["Subtract: -73345 - (-59256) = -14089", "Multiply: -14089 * (-21891) = 308422299", "Add: 308422299 + (-8277) = 308414022", "Add: 31073 + 1485 = 32558", "Divide: 308414022 / 32558 = 154207011/16279"], "final_answer": "154207011/16279", "answer_type": "rational", "kind": "expression", "math_text": "((-73345 - (-59256)) * (-21891) + (-8277)) / (31073 + 1485)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -73345, \"b\": -59256, \"c\": -21891, \"d\": -8277, \"e\": 31073, \"f\": 1485}", "seed": "9497107148985853927", "semantic_fingerprint": "sha256:cf8efb3ee038be3a7f171f2020aa764da099d777a2bb2e28e96be814bbfde6dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002368", "prompt": "What is -98017 - (-1419) * 58793?", "solution_steps": ["Multiply: -1419 * 58793 = -83427267", "Subtract: -98017 - (-83427267) = 83329250"], "final_answer": "83329250", "answer_type": "integer", "kind": "expression", "math_text": "-98017 - (-1419) * 58793", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98017, \"b\": -1419, \"c\": 58793}", "seed": "10545299222212301614", "semantic_fingerprint": "sha256:9a8a1bbe8fa643c75fe534e817a5c2950e9473b227c36fc1263dcdb73993369a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002369", "prompt": "Evaluate: (-34763 * 6088 + (-25640)) / (-4104)", "solution_steps": ["Multiply: -34763 * 6088 = -211637144", "Add: -211637144 + (-25640) = -211662784", "Divide: -211662784 / (-4104) = 26457848/513"], "final_answer": "26457848/513", "answer_type": "rational", "kind": "expression", "math_text": "(-34763 * 6088 + (-25640)) / (-4104)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34763, \"b\": 6088, \"c\": -25640, \"d\": -4104}", "seed": "10850824834160481728", "semantic_fingerprint": "sha256:0784a1de64afc02d1756bb29b5b37e393e4dad0da307d65b73800fa2709981e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002370", "prompt": "Calculate: -4141 * (4224 / 5371) * 7144 + (-57283) * 80619", "solution_steps": ["Divide: 4224 / 5371 = 4224/5371", "Multiply: -4141 * (4224/5371) = -426624/131", "Multiply: (-426624/131) * 7144 = -3047801856/131", "Multiply: -57283 * 80619 = -4618098177", "Add: -3047801856/131 + (-4618098177) = -608018663043/131"], "final_answer": "-608018663043/131", "answer_type": "rational", "kind": "expression", "math_text": "-4141 * (4224 / 5371) * 7144 + (-57283) * 80619", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n (/ n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4141, \"b\": 4224, \"c\": 5371, \"d\": 7144, \"e\": -57283, \"f\": 80619}", "seed": "15596969396886949118", "semantic_fingerprint": "sha256:22fa91e7145ad2895642b44a5f32c1e43a17fdd6ed53fddc9c9afca1ffe9e431", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002371", "prompt": "Solve for x: -39(x + 2103) = -88569", "solution_steps": ["Expand: -39x - 82017 = -88569", "Add 82017 to both sides: -39x = -6552", "Divide both sides by -39: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39(x + 2103) = -88569", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 2103, \"d\": -88569, \"x\": 168}", "seed": "17627823428043006281", "semantic_fingerprint": "sha256:5b16f14f473ee821d07ce61973fca585bb4e630fd714ab594114fde7fa8d7f72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002372", "prompt": "Calculate: -6501 * (4989 + 9530)", "solution_steps": ["Add: 4989 + 9530 = 14519", "Multiply: -6501 * 14519 = -94388019"], "final_answer": "-94388019", "answer_type": "integer", "kind": "expression", "math_text": "-6501 * (4989 + 9530)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6501, \"b\": 4989, \"c\": 9530}", "seed": "7599069080200466356", "semantic_fingerprint": "sha256:1d772a6131cc3cb2fb73199c35e155b264c812768991a726b33dd1a24aa44214", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002373", "prompt": "Find x: 17(x - 1776) + 47180 = 19x", "solution_steps": ["Expand: 17x - 30192 + 47180 = 19x", "Combine constants: 17x + 16988 = 19x", "Subtract 19x from both sides: -2x + 16988 = 0", "Subtract 16988 from both sides: -2x = -16988", "Divide both sides by -2: x = 8494"], "final_answer": "8494", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 1776) + 47180 = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1776, \"c\": 47180, \"d\": 19}", "seed": "16458310276492520847", "semantic_fingerprint": "sha256:f41f9566cd053250ab65d99024caa0c0d7266926eb8d166baa875987f52139db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002374", "prompt": "Find x: 16(x - 46027) + 3254 = 36x", "solution_steps": ["Expand: 16x - 736432 + 3254 = 36x", "Combine constants: 16x - 733178 = 36x", "Subtract 36x from both sides: -20x - 733178 = 0", "Add 733178 to both sides: -20x = 733178", "Divide both sides by -20: x = -366589/10"], "final_answer": "-366589/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 46027) + 3254 = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 46027, \"c\": 3254, \"d\": 36}", "seed": "17849634443899361999", "semantic_fingerprint": "sha256:37d515bb3f6b54ae2799847efa89ade2e012fd34918affe60061d4b84167b13b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002375", "prompt": "Evaluate: 1243 / (-4762 - 1593)", "solution_steps": ["Subtract: -4762 - 1593 = -6355", "Divide: 1243 / (-6355) = -1243/6355"], "final_answer": "-1243/6355", "answer_type": "rational", "kind": "expression", "math_text": "1243 / (-4762 - 1593)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1243, \"b\": -4762, \"c\": 1593}", "seed": "12006767497241749660", "semantic_fingerprint": "sha256:ebad3c1e6261c612249a8fdfdfdc89eab39fe53f3d82e4cd98ba65339f2c6e64", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002376", "prompt": "Calculate: 8492 / 98279", "solution_steps": ["Divide: 8492 / 98279 = 8492/98279"], "final_answer": "8492/98279", "answer_type": "rational", "kind": "expression", "math_text": "8492 / 98279", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8492, \"b\": 98279}", "seed": "7517056945670658087", "semantic_fingerprint": "sha256:6a1bcb25ea9882b8efb93a3322dfbd37c3f88d33dadd66dcb4874f2efb5b36fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002377", "prompt": "Evaluate: -1662 - (-38061) + 62842", "solution_steps": ["Subtract: -1662 - (-38061) = 36399", "Add: 36399 + 62842 = 99241"], "final_answer": "99241", "answer_type": "integer", "kind": "expression", "math_text": "-1662 - (-38061) + 62842", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1662, \"b\": -38061, \"c\": 62842}", "seed": "12545283852911557199", "semantic_fingerprint": "sha256:8bf6476ebb9ffcf07508a8e222a059992c7c5a7eac535028c9792c3f95dc0573", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002378", "prompt": "What is (6300 + (-7951 + 3129)) * 8007?", "solution_steps": ["Add: -7951 + 3129 = -4822", "Add: 6300 + (-4822) = 1478", "Multiply: 1478 * 8007 = 11834346"], "final_answer": "11834346", "answer_type": "integer", "kind": "expression", "math_text": "(6300 + (-7951 + 3129)) * 8007", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6300, \"b\": -7951, \"c\": 3129, \"d\": 8007}", "seed": "10454971493251148732", "semantic_fingerprint": "sha256:33a1c02dda60c2a0f236f2d1c3a60af417c928b82c5f27679492691c9461e626", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002379", "prompt": "Calculate: 54731 - (-51200 - 4420)", "solution_steps": ["Subtract: -51200 - 4420 = -55620", "Subtract: 54731 - (-55620) = 110351"], "final_answer": "110351", "answer_type": "integer", "kind": "expression", "math_text": "54731 - (-51200 - 4420)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54731, \"b\": -51200, \"c\": 4420}", "seed": "17193761249601883652", "semantic_fingerprint": "sha256:feecb8d4c3ec8b951a40cb544ae026d9b6be22bb2280d9215ba2aac3b4572abe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002380", "prompt": "Calculate: -98437 / (-9629) * (-9931) + (-9566)", "solution_steps": ["Divide: -98437 / (-9629) = 98437/9629", "Multiply: (98437/9629) * (-9931) = -977577847/9629", "Add: -977577847/9629 + (-9566) = -1069688861/9629"], "final_answer": "-1069688861/9629", "answer_type": "rational", "kind": "expression", "math_text": "-98437 / (-9629) * (-9931) + (-9566)", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -98437, \"b\": -9629, \"c\": -9931, \"d\": -9566}", "seed": "3692179561011420668", "semantic_fingerprint": "sha256:1dd6adbd64bfe1656f376fc9e5cbfa44021e852c2a7176afb52574444ca81f5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002381", "prompt": "Solve the equation x + 24464 = 32(x + 6800) + 8092 for x.", "solution_steps": ["Expand: x + 24464 = 32x + 217600 + 8092", "Combine constants: x + 24464 = 32x + 225692", "Subtract 32x from both sides: -31x + 24464 = 225692", "Subtract 24464 from both sides: -31x = 201228", "Divide both sides by -31: x = -201228/31"], "final_answer": "-201228/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 24464 = 32(x + 6800) + 8092", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24464, \"b\": 32, \"c\": 6800, \"d\": 8092}", "seed": "16759739262916019438", "semantic_fingerprint": "sha256:8e3612df5dcfee7cfa24b515e610d064a129dbefe5a72dc76ba225832a2bb185", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002382", "prompt": "Find x: -30(x + 25092) + 48402 = x - 7769", "solution_steps": ["Expand: -30x - 752760 + 48402 = x - 7769", "Combine constants: -30x - 704358 = x - 7769", "Subtract x from both sides: -31x - 704358 = -7769", "Add 704358 to both sides: -31x = 696589", "Divide both sides by -31: x = -696589/31"], "final_answer": "-696589/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 25092) + 48402 = x - 7769", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 25092, \"c\": 48402, \"d\": 7769}", "seed": "2351723837283041476", "semantic_fingerprint": "sha256:077d6a8f957f8363debb9ddfb020596d915b38687a72044bfc7d7776fd58414d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002383", "prompt": "Evaluate: 6214 - (-3668 - (-6605 + (65863 - 92212) / (-9733)))", "solution_steps": ["Subtract: 65863 - 92212 = -26349", "Divide: -26349 / (-9733) = 26349/9733", "Add: -6605 + 26349/9733 = -64260116/9733", "Subtract: -3668 - (-64260116/9733) = 28559472/9733", "Subtract: 6214 - 28559472/9733 = 31921390/9733"], "final_answer": "31921390/9733", "answer_type": "rational", "kind": "expression", "math_text": "6214 - (-3668 - (-6605 + (65863 - 92212) / (-9733)))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (+ n (/ (- n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6214, \"b\": -3668, \"c\": -6605, \"d\": 65863, \"e\": 92212, \"f\": -9733}", "seed": "12014357481817045298", "semantic_fingerprint": "sha256:20df31722ba0a37ea1f34fa179960e12f56134b3aa4a4d0c0893cc31eda1ec6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002384", "prompt": "Compute: 3705 + (-45739) - 4184", "solution_steps": ["Add: 3705 + (-45739) = -42034", "Subtract: -42034 - 4184 = -46218"], "final_answer": "-46218", "answer_type": "integer", "kind": "expression", "math_text": "3705 + (-45739) - 4184", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3705, \"b\": -45739, \"c\": 4184}", "seed": "6278224406485821631", "semantic_fingerprint": "sha256:fd37b3434c1d42d1594086b60af24ce99005bc659a3de506b0b673ca731f1dde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002385", "prompt": "Evaluate: (-9918 - (-4411)) * (-1568) - (1483 - 7159)", "solution_steps": ["Subtract: -9918 - (-4411) = -5507", "Multiply: -5507 * (-1568) = 8634976", "Subtract: 1483 - 7159 = -5676", "Subtract: 8634976 - (-5676) = 8640652"], "final_answer": "8640652", "answer_type": "integer", "kind": "expression", "math_text": "(-9918 - (-4411)) * (-1568) - (1483 - 7159)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9918, \"b\": -4411, \"c\": -1568, \"d\": 1483, \"e\": 7159}", "seed": "842403118023834170", "semantic_fingerprint": "sha256:0751e339061f56a1be6cd58ad68f419c0a2171047266bab6e383411d502c363c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002386", "prompt": "Solve the equation 34x - 1482 = 21x for x.", "solution_steps": ["Subtract 21x from both sides: 13x - 1482 = 0", "Add 1482 to both sides: 13x = 1482", "Divide both sides by 13: x = 114"], "final_answer": "114", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 1482 = 21x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 21, \"d\": -1482, \"x\": 114}", "seed": "2796551215671675365", "semantic_fingerprint": "sha256:97060941acd3c345ea34a3b444ffb274c7bd4058d9bedbe59058c4123e2d4e06", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002387", "prompt": "What is -8330 / 2195 * (-6078 - 7392) / (-7716)?", "solution_steps": ["Divide: -8330 / 2195 = -1666/439", "Subtract: -6078 - 7392 = -13470", "Multiply: (-1666/439) * (-13470) = 22441020/439", "Divide: (22441020/439) / (-7716) = -1870085/282277"], "final_answer": "-1870085/282277", "answer_type": "rational", "kind": "expression", "math_text": "-8330 / 2195 * (-6078 - 7392) / (-7716)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8330, \"b\": 2195, \"c\": -6078, \"d\": 7392, \"e\": -7716}", "seed": "2213433129453103124", "semantic_fingerprint": "sha256:ebb8a0121375f3148b91d198700493e3372b300051395684a7cfc6420e0d244c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002388", "prompt": "What is -9317 + 36535?", "solution_steps": ["Add: -9317 + 36535 = 27218"], "final_answer": "27218", "answer_type": "integer", "kind": "expression", "math_text": "-9317 + 36535", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9317, \"b\": 36535}", "seed": "13974667655144476365", "semantic_fingerprint": "sha256:8a16a2b4bea32397a67cc5dfbb9b6d0376fb68a541a6c4bc3ca7378ffe61feb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002389", "prompt": "Compute: -5052 + 26401", "solution_steps": ["Add: -5052 + 26401 = 21349"], "final_answer": "21349", "answer_type": "integer", "kind": "expression", "math_text": "-5052 + 26401", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5052, \"b\": 26401}", "seed": "3254844547019197249", "semantic_fingerprint": "sha256:eb9e0122a8eda40e4cc3ae7b55fe88ae37a0423b2a1fd60d6a3b1277c6994342", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002390", "prompt": "Calculate: 5295 * 1460", "solution_steps": ["Multiply: 5295 * 1460 = 7730700"], "final_answer": "7730700", "answer_type": "integer", "kind": "expression", "math_text": "5295 * 1460", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5295, \"b\": 1460}", "seed": "4721664845415565095", "semantic_fingerprint": "sha256:681e913719f194dbc53fc820684fab701810db22884fb81636fb5a7c67a3e69a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002391", "prompt": "Compute: -2252 / (-3205) * (-1790 + (-8235))", "solution_steps": ["Divide: -2252 / (-3205) = 2252/3205", "Add: -1790 + (-8235) = -10025", "Multiply: (2252/3205) * (-10025) = -4515260/641"], "final_answer": "-4515260/641", "answer_type": "rational", "kind": "expression", "math_text": "-2252 / (-3205) * (-1790 + (-8235))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2252, \"b\": -3205, \"c\": -1790, \"d\": -8235}", "seed": "17379710438408066158", "semantic_fingerprint": "sha256:17450f448d1646e6b4ac95a786ff244fbdaa350b40e0c21bdb9a1cd91aa18636", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002392", "prompt": "Compute: -9623 / 48134 - (-6484)", "solution_steps": ["Divide: -9623 / 48134 = -9623/48134", "Subtract: -9623/48134 - (-6484) = 312091233/48134"], "final_answer": "312091233/48134", "answer_type": "rational", "kind": "expression", "math_text": "-9623 / 48134 - (-6484)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9623, \"b\": 48134, \"c\": -6484}", "seed": "4150273741547216784", "semantic_fingerprint": "sha256:bab983cf3d13e5f5f8221d5bfce1d2753308899e7c7ad9b4c7e8efea979adc24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002393", "prompt": "Evaluate: -5925 - (-6085) - (-3589)", "solution_steps": ["Subtract: -5925 - (-6085) = 160", "Subtract: 160 - (-3589) = 3749"], "final_answer": "3749", "answer_type": "integer", "kind": "expression", "math_text": "-5925 - (-6085) - (-3589)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5925, \"b\": -6085, \"c\": -3589}", "seed": "1720848307153730613", "semantic_fingerprint": "sha256:28c5076320dd4b004ce963d45f1924a26fe9bafba3cf11d0313b867a0cddc7ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002394", "prompt": "Evaluate: 7552 - 5108 / (99987 + 59340)", "solution_steps": ["Add: 99987 + 59340 = 159327", "Divide: 5108 / 159327 = 5108/159327", "Subtract: 7552 - 5108/159327 = 1203232396/159327"], "final_answer": "1203232396/159327", "answer_type": "rational", "kind": "expression", "math_text": "7552 - 5108 / (99987 + 59340)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7552, \"b\": 5108, \"c\": 99987, \"d\": 59340}", "seed": "9093448161421206762", "semantic_fingerprint": "sha256:858ef4837959db076c26dadf90f21e4770fb989f78a3fcdd75898d084911ed8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002395", "prompt": "What is (1978 - (-48771 + (-2496))) / 50066?", "solution_steps": ["Add: -48771 + (-2496) = -51267", "Subtract: 1978 - (-51267) = 53245", "Divide: 53245 / 50066 = 53245/50066"], "final_answer": "53245/50066", "answer_type": "rational", "kind": "expression", "math_text": "(1978 - (-48771 + (-2496))) / 50066", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1978, \"b\": -48771, \"c\": -2496, \"d\": 50066}", "seed": "12788461449132587088", "semantic_fingerprint": "sha256:1d5a3fdc3b76e13350255829a089a8c2ad345ea932485561f6fcfce9f4170f03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002396", "prompt": "Calculate: 9856 + (-1166) / (-1073)", "solution_steps": ["Divide: -1166 / (-1073) = 1166/1073", "Add: 9856 + 1166/1073 = 10576654/1073"], "final_answer": "10576654/1073", "answer_type": "rational", "kind": "expression", "math_text": "9856 + (-1166) / (-1073)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9856, \"b\": -1166, \"c\": -1073}", "seed": "5951051375047787601", "semantic_fingerprint": "sha256:55760a412903f7a8a53d57c8d2d6f59751ac612ec2401294ab3da4cc4bb087eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002397", "prompt": "Evaluate: -6911 / (-61484) - (-60285 + (-76435))", "solution_steps": ["Divide: -6911 / (-61484) = 6911/61484", "Add: -60285 + (-76435) = -136720", "Subtract: 6911/61484 - (-136720) = 8406099391/61484"], "final_answer": "8406099391/61484", "answer_type": "rational", "kind": "expression", "math_text": "-6911 / (-61484) - (-60285 + (-76435))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6911, \"b\": -61484, \"c\": -60285, \"d\": -76435}", "seed": "2754876151569663259", "semantic_fingerprint": "sha256:6818e68a6316f86d9587b873776e3998491340924748777ef51c6875844584a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002398", "prompt": "Compute: 9584 / (-7596) * 76053", "solution_steps": ["Divide: 9584 / (-7596) = -2396/1899", "Multiply: (-2396/1899) * 76053 = -60740996/633"], "final_answer": "-60740996/633", "answer_type": "rational", "kind": "expression", "math_text": "9584 / (-7596) * 76053", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9584, \"b\": -7596, \"c\": 76053}", "seed": "8520770964427666401", "semantic_fingerprint": "sha256:0eec5c2395e154595366f83c80ed70959f68f5e59e4d27d53ae88977dc3a08a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002399", "prompt": "Calculate: 83080 + (-5264) / (-6770 + 6535)", "solution_steps": ["Add: -6770 + 6535 = -235", "Divide: -5264 / (-235) = 112/5", "Add: 83080 + 112/5 = 415512/5"], "final_answer": "415512/5", "answer_type": "rational", "kind": "expression", "math_text": "83080 + (-5264) / (-6770 + 6535)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83080, \"b\": -5264, \"c\": -6770, \"d\": 6535}", "seed": "6628894356781522369", "semantic_fingerprint": "sha256:30c8c9e4b45e7550db2b0210a2bcfefe164099c90e359fce98d0419c46711598", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002400", "prompt": "Evaluate: -2929 - (-38593) * 83821", "solution_steps": ["Multiply: -38593 * 83821 = -3234903853", "Subtract: -2929 - (-3234903853) = 3234900924"], "final_answer": "3234900924", "answer_type": "integer", "kind": "expression", "math_text": "-2929 - (-38593) * 83821", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2929, \"b\": -38593, \"c\": 83821}", "seed": "12945278010421615734", "semantic_fingerprint": "sha256:91c0e14fed15995bf456421e7856f9fd283301960764cd99669203fbce287741", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002401", "prompt": "Solve for x: -13x + 55406 = 37(x + 95289) - 23076", "solution_steps": ["Expand: -13x + 55406 = 37x + 3525693 - 23076", "Combine constants: -13x + 55406 = 37x + 3502617", "Subtract 37x from both sides: -50x + 55406 = 3502617", "Subtract 55406 from both sides: -50x = 3447211", "Divide both sides by -50: x = -3447211/50"], "final_answer": "-3447211/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x + 55406 = 37(x + 95289) - 23076", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 55406, \"c\": 37, \"d\": 95289, \"e\": 23076}", "seed": "9303433781158327840", "semantic_fingerprint": "sha256:110154469abdc86fb8fcd5670448ba036ed305e34a0f78ed9b4b8b455899406b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002402", "prompt": "What value of x satisfies x + 4853 = 5029?", "solution_steps": ["Subtract 4853 from both sides: x = 176"], "final_answer": "176", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4853 = 5029", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4853, \"c\": 5029, \"x\": 176}", "seed": "1913927963349255897", "semantic_fingerprint": "sha256:6039641f123f150357057b810d091b921665ecb38a7c005a700065e89bb0bdd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002403", "prompt": "What is -41879 - 91823 * 45620 - (-9343 - 35864)?", "solution_steps": ["Multiply: 91823 * 45620 = 4188965260", "Subtract: -41879 - 4188965260 = -4189007139", "Subtract: -9343 - 35864 = -45207", "Subtract: -4189007139 - (-45207) = -4188961932"], "final_answer": "-4188961932", "answer_type": "integer", "kind": "expression", "math_text": "-41879 - 91823 * 45620 - (-9343 - 35864)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -41879, \"b\": 91823, \"c\": 45620, \"d\": -9343, \"e\": 35864}", "seed": "4960425933299716401", "semantic_fingerprint": "sha256:096720f80d6c33154f2dc2ba9fb7bcda325034f108bdc512e979c88d01d731e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002404", "prompt": "What value of x satisfies 22x + 4600 = 8428?", "solution_steps": ["Subtract 4600 from both sides: 22x = 3828", "Divide both sides by 22: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 4600 = 8428", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 4600, \"d\": 8428, \"x\": 174}", "seed": "1700326237067481898", "semantic_fingerprint": "sha256:f5573170bfe38132c818bb85922cd3aba4c3f311cfb0fb7a9e2853c26bb0d500", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002405", "prompt": "What is -90395 / (-2205) - 8972?", "solution_steps": ["Divide: -90395 / (-2205) = 18079/441", "Subtract: 18079/441 - 8972 = -3938573/441"], "final_answer": "-3938573/441", "answer_type": "rational", "kind": "expression", "math_text": "-90395 / (-2205) - 8972", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90395, \"b\": -2205, \"c\": 8972}", "seed": "18217714839146277224", "semantic_fingerprint": "sha256:711ba7e85eea28b75fa8cc174d91a7f7852896efaa94666b50dca27cb5764d50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002406", "prompt": "Calculate: 32942 + 4809", "solution_steps": ["Add: 32942 + 4809 = 37751"], "final_answer": "37751", "answer_type": "integer", "kind": "expression", "math_text": "32942 + 4809", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 32942, \"b\": 4809}", "seed": "17743493282783785580", "semantic_fingerprint": "sha256:bc1dafcd9a1ae50a6e70038a36e24ed4f7934572b83738f38773f74038972441", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002407", "prompt": "Compute: 3418 * (-39996 / 9691) + (59193 - 30095) * (-4284)", "solution_steps": ["Divide: -39996 / 9691 = -3636/881", "Multiply: 3418 * (-3636/881) = -12427848/881", "Subtract: 59193 - 30095 = 29098", "Multiply: 29098 * (-4284) = -124655832", "Add: -12427848/881 + (-124655832) = -109834215840/881"], "final_answer": "-109834215840/881", "answer_type": "rational", "kind": "expression", "math_text": "3418 * (-39996 / 9691) + (59193 - 30095) * (-4284)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3418, \"b\": -39996, \"c\": 9691, \"d\": 59193, \"e\": 30095, \"f\": -4284}", "seed": "8338221829269518804", "semantic_fingerprint": "sha256:187b9971cdf6631ced29a6033f6485313bdae746c5f936baaad9b3263f9812be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002408", "prompt": "What value of x satisfies x - 4964 = -39x - 2764?", "solution_steps": ["Add 39x to both sides: 40x - 4964 = -2764", "Add 4964 to both sides: 40x = 2200", "Divide both sides by 40: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4964 = -39x - 2764", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4964, \"b\": -39, \"d\": -2764, \"x\": 55}", "seed": "10923331568297962518", "semantic_fingerprint": "sha256:38b8bb6465468df3629501a3d9c6a9cdaeaaba32bd05248341e02a9215448b32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002409", "prompt": "Compute: -3756 / 8196", "solution_steps": ["Divide: -3756 / 8196 = -313/683"], "final_answer": "-313/683", "answer_type": "rational", "kind": "expression", "math_text": "-3756 / 8196", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3756, \"b\": 8196}", "seed": "4839855292534836033", "semantic_fingerprint": "sha256:1b29fefcba3c07f3024e99af7207324d8942db365158dbb2662766426bbd8ec1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002410", "prompt": "Evaluate: -29282 * 19075 - 2040", "solution_steps": ["Multiply: -29282 * 19075 = -558554150", "Subtract: -558554150 - 2040 = -558556190"], "final_answer": "-558556190", "answer_type": "integer", "kind": "expression", "math_text": "-29282 * 19075 - 2040", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29282, \"b\": 19075, \"c\": 2040}", "seed": "16117913116159024210", "semantic_fingerprint": "sha256:93d9aa38fa9d688afd741417fc866999bc04aeb738901604bae691f1678d15a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002411", "prompt": "What value of x satisfies x - 1617 = 34x?", "solution_steps": ["Subtract 34x from both sides: -33x - 1617 = 0", "Add 1617 to both sides: -33x = 1617", "Divide both sides by -33: x = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1617 = 34x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"c\": -1617, \"x\": -49}", "seed": "14447278623952361171", "semantic_fingerprint": "sha256:ad50d53babb1a182c57dfdfb0949c1518ae9b0b0602fd38f3970badb5c609e15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002412", "prompt": "Compute: -21454 - (65276 + (-3881))", "solution_steps": ["Add: 65276 + (-3881) = 61395", "Subtract: -21454 - 61395 = -82849"], "final_answer": "-82849", "answer_type": "integer", "kind": "expression", "math_text": "-21454 - (65276 + (-3881))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21454, \"b\": 65276, \"c\": -3881}", "seed": "317461729189163446", "semantic_fingerprint": "sha256:6a0b1a861e96353ac86c766ea75fbe2d5d4a9ce5eba05285ce1f07d2c68d0237", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002413", "prompt": "Compute: (6927 - 62760) * (-41737)", "solution_steps": ["Subtract: 6927 - 62760 = -55833", "Multiply: -55833 * (-41737) = 2330301921"], "final_answer": "2330301921", "answer_type": "integer", "kind": "expression", "math_text": "(6927 - 62760) * (-41737)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6927, \"b\": 62760, \"c\": -41737}", "seed": "13731066161859539723", "semantic_fingerprint": "sha256:20ec253e9c6f0ab957165600a28b5c7a6c10fc0d2478ab88b33313256995a93c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002414", "prompt": "Solve for x: 40(x - 1141) - 4879 = 28(x - 4059) + 61237", "solution_steps": ["Expand: 40x - 45640 - 4879 = 28(x - 4059) + 61237", "Expand: 40x - 45640 - 4879 = 28x - 113652 + 61237", "Combine constants: 40x - 50519 = 28x - 113652 + 61237", "Combine constants: 40x - 50519 = 28x - 52415", "Subtract 28x from both sides: 12x - 50519 = -52415", "Add 50519 to both sides: 12x = -1896", "Divide both sides by 12: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 1141) - 4879 = 28(x - 4059) + 61237", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1141, \"c\": 4879, \"d\": 28, \"e\": 4059, \"g\": 61237, \"x\": -158}", "seed": "8444440422639739833", "semantic_fingerprint": "sha256:eaf0cf4d55b459e2096f0ed9c06a966e71c93eafbf598e6c2e75ed640d3fe4e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002415", "prompt": "Evaluate: 3226 - (-7130 + 3138)", "solution_steps": ["Add: -7130 + 3138 = -3992", "Subtract: 3226 - (-3992) = 7218"], "final_answer": "7218", "answer_type": "integer", "kind": "expression", "math_text": "3226 - (-7130 + 3138)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3226, \"b\": -7130, \"c\": 3138}", "seed": "15072834874939768332", "semantic_fingerprint": "sha256:a14f89f6dd81f840cd4f6655e9d1b6abedb6540fcc11ea3fd8c904583d5ecf72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002416", "prompt": "Calculate: -76354 + (-46374) * 3406", "solution_steps": ["Multiply: -46374 * 3406 = -157949844", "Add: -76354 + (-157949844) = -158026198"], "final_answer": "-158026198", "answer_type": "integer", "kind": "expression", "math_text": "-76354 + (-46374) * 3406", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76354, \"b\": -46374, \"c\": 3406}", "seed": "12466715924553481407", "semantic_fingerprint": "sha256:ac932f6e6aa5d9e141c0d947cc09c7e1c5be09ddbe0223543fcbd6a49cc5f85a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002417", "prompt": "Compute: 6616 + (1151 + (-79091)) * (-4853)", "solution_steps": ["Add: 1151 + (-79091) = -77940", "Multiply: -77940 * (-4853) = 378242820", "Add: 6616 + 378242820 = 378249436"], "final_answer": "378249436", "answer_type": "integer", "kind": "expression", "math_text": "6616 + (1151 + (-79091)) * (-4853)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6616, \"b\": 1151, \"c\": -79091, \"d\": -4853}", "seed": "4732808589387206940", "semantic_fingerprint": "sha256:70531d7adafffa02c8bc580b490d0bc9b8a0aaa58756970ddef51217768f35a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002418", "prompt": "What is 4784 + (-6152 - 9445) * (89861 / 4239) + (-8068)?", "solution_steps": ["Subtract: -6152 - 9445 = -15597", "Divide: 89861 / 4239 = 89861/4239", "Multiply: -15597 * (89861/4239) = -155729113/471", "Add: 4784 + (-155729113/471) = -153475849/471", "Add: -153475849/471 + (-8068) = -157275877/471"], "final_answer": "-157275877/471", "answer_type": "rational", "kind": "expression", "math_text": "4784 + (-6152 - 9445) * (89861 / 4239) + (-8068)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (- n n) (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4784, \"b\": -6152, \"c\": 9445, \"d\": 89861, \"e\": 4239, \"f\": -8068}", "seed": "6962619974351480856", "semantic_fingerprint": "sha256:f7bd3c529ff4f47ad4b3326e39f60cea5c9be0921872ded1f176b31ed73e9ba8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002419", "prompt": "Evaluate: -14882 * 4670", "solution_steps": ["Multiply: -14882 * 4670 = -69498940"], "final_answer": "-69498940", "answer_type": "integer", "kind": "expression", "math_text": "-14882 * 4670", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -14882, \"b\": 4670}", "seed": "5395503739950671016", "semantic_fingerprint": "sha256:d0a0dbc1f7be7bb68a70e40b128b72fce4b801c29318a77f7042ee7c224447b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002420", "prompt": "Solve the equation x + 80894 = 80947 for x.", "solution_steps": ["Subtract 80894 from both sides: x = 53"], "final_answer": "53", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 80894 = 80947", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80894, \"c\": 80947, \"x\": 53}", "seed": "13618134938028169478", "semantic_fingerprint": "sha256:93ef353f56914817cf302ddedf3d00b9a1a06943a710268ee0627a7e23841c7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002421", "prompt": "Calculate: -76808 - (-9948)", "solution_steps": ["Subtract: -76808 - (-9948) = -66860"], "final_answer": "-66860", "answer_type": "integer", "kind": "expression", "math_text": "-76808 - (-9948)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -76808, \"b\": -9948}", "seed": "15374883744373498671", "semantic_fingerprint": "sha256:b07076915f977a731de1952425263c7639f91f1a35d81e03f218f6ef90ea851d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002422", "prompt": "What is (6403 + (-8370) / 2145) * 7311?", "solution_steps": ["Divide: -8370 / 2145 = -558/143", "Add: 6403 + (-558/143) = 915071/143", "Multiply: (915071/143) * 7311 = 6690084081/143"], "final_answer": "6690084081/143", "answer_type": "rational", "kind": "expression", "math_text": "(6403 + (-8370) / 2145) * 7311", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6403, \"b\": -8370, \"c\": 2145, \"d\": 7311}", "seed": "13536613213602703239", "semantic_fingerprint": "sha256:5154cdef42131581b7d867296e7471bf155dcd971d6be41a0c1e825639262557", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002423", "prompt": "Compute: -3808 / (-6946)", "solution_steps": ["Divide: -3808 / (-6946) = 1904/3473"], "final_answer": "1904/3473", "answer_type": "rational", "kind": "expression", "math_text": "-3808 / (-6946)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3808, \"b\": -6946}", "seed": "16013984501686433632", "semantic_fingerprint": "sha256:c5f95200aebfc7e75263fa89d2ff17734174116a6d7b0897eb19d8443c438d6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002424", "prompt": "What is 65808 - 68002 * (-3008 + 8938)?", "solution_steps": ["Add: -3008 + 8938 = 5930", "Multiply: 68002 * 5930 = 403251860", "Subtract: 65808 - 403251860 = -403186052"], "final_answer": "-403186052", "answer_type": "integer", "kind": "expression", "math_text": "65808 - 68002 * (-3008 + 8938)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 65808, \"b\": 68002, \"c\": -3008, \"d\": 8938}", "seed": "8599830902784410382", "semantic_fingerprint": "sha256:2d769aff7f8095c341aa2e61e0297483fe1626e76504d44aab9e14ff6de2e355", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002425", "prompt": "What is 57166 * (-4028 - (-3246))?", "solution_steps": ["Subtract: -4028 - (-3246) = -782", "Multiply: 57166 * (-782) = -44703812"], "final_answer": "-44703812", "answer_type": "integer", "kind": "expression", "math_text": "57166 * (-4028 - (-3246))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57166, \"b\": -4028, \"c\": -3246}", "seed": "1157728324074135901", "semantic_fingerprint": "sha256:41b66e0edb0b278eb987a0aa0aac76b80bf87e40c70f1f760fd63b6f42e481cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002426", "prompt": "Solve the equation x = 13(x - 2239) for x.", "solution_steps": ["Expand: x = 13x - 29107", "Subtract 13x from both sides: -12x = -29107", "Divide both sides by -12: x = 29107/12"], "final_answer": "29107/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 13(x - 2239)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2239}", "seed": "10368084032115776990", "semantic_fingerprint": "sha256:6706ead6668a3cadf0b210b7764725397bfe114e60301f075621cad0077804c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002427", "prompt": "What value of x satisfies 25(x - 8943) = x?", "solution_steps": ["Expand: 25x - 223575 = x", "Subtract x from both sides: 24x - 223575 = 0", "Add 223575 to both sides: 24x = 223575", "Divide both sides by 24: x = 74525/8"], "final_answer": "74525/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 8943) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 8943}", "seed": "9228055075233166611", "semantic_fingerprint": "sha256:7d069f2ce9e0f81418d289cb4c4e9425d68dbab4a748ba6bd683974270ad247f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002428", "prompt": "Find x: 36(x - 7780) = -30x", "solution_steps": ["Expand: 36x - 280080 = -30x", "Add 30x to both sides: 66x - 280080 = 0", "Add 280080 to both sides: 66x = 280080", "Divide both sides by 66: x = 46680/11"], "final_answer": "46680/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 7780) = -30x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 7780, \"c\": -30}", "seed": "3210946471051084972", "semantic_fingerprint": "sha256:db98936629bd4dd2e174d8ec9b5a6c37762a2e5bf24d62c7333563304b933dbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002429", "prompt": "What value of x satisfies x = -25x - 9994?", "solution_steps": ["Add 25x to both sides: 26x = -9994", "Divide both sides by 26: x = -4997/13"], "final_answer": "-4997/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -25x - 9994", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 9994}", "seed": "15308691358382856749", "semantic_fingerprint": "sha256:6bf2cb10372b41b4249608288f5cd6c48854a31fb86fac809263a90497722586", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002430", "prompt": "What is (-7869 - 7221 + (-1920)) / (-72475)?", "solution_steps": ["Subtract: -7869 - 7221 = -15090", "Add: -15090 + (-1920) = -17010", "Divide: -17010 / (-72475) = 3402/14495"], "final_answer": "3402/14495", "answer_type": "rational", "kind": "expression", "math_text": "(-7869 - 7221 + (-1920)) / (-72475)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7869, \"b\": 7221, \"c\": -1920, \"d\": -72475}", "seed": "18367869275373793006", "semantic_fingerprint": "sha256:377133b9ca138a218b5fd36870bf69c487fed3536fa57c3002f4e0bf41ca35fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002431", "prompt": "Solve the equation 13(x + 7591) = 96499 for x.", "solution_steps": ["Expand: 13x + 98683 = 96499", "Subtract 98683 from both sides: 13x = -2184", "Divide both sides by 13: x = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 7591) = 96499", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7591, \"d\": 96499, \"x\": -168}", "seed": "17696129912203692323", "semantic_fingerprint": "sha256:6d4a3347d1dc9f0b0e36c2429e946140acf5b5a4ee51a17cf66e7cdd95cb0ed0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002432", "prompt": "Compute: 4787 + (-6765)", "solution_steps": ["Add: 4787 + (-6765) = -1978"], "final_answer": "-1978", "answer_type": "integer", "kind": "expression", "math_text": "4787 + (-6765)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4787, \"b\": -6765}", "seed": "1267219133021475290", "semantic_fingerprint": "sha256:4d68c1f9f6e459512109cb7e6a9382697a2fa5b1d3b450febbcd67e58a6fcc81", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002433", "prompt": "What is (75472 + (-91425) - (-44274)) * (22338 / 74116)?", "solution_steps": ["Add: 75472 + (-91425) = -15953", "Subtract: -15953 - (-44274) = 28321", "Divide: 22338 / 74116 = 11169/37058", "Multiply: 28321 * (11169/37058) = 316317249/37058"], "final_answer": "316317249/37058", "answer_type": "rational", "kind": "expression", "math_text": "(75472 + (-91425) - (-44274)) * (22338 / 74116)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 75472, \"b\": -91425, \"c\": -44274, \"d\": 22338, \"e\": 74116}", "seed": "10773670660521588362", "semantic_fingerprint": "sha256:fb865a3cd3e0d89d180824539544c36170407937e3601b0b3733eb0733159106", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002434", "prompt": "Compute: 67059 / 2399 + (-45103 + 9014 + (-8271))", "solution_steps": ["Divide: 67059 / 2399 = 67059/2399", "Add: -45103 + 9014 = -36089", "Add: -36089 + (-8271) = -44360", "Add: 67059/2399 + (-44360) = -106352581/2399"], "final_answer": "-106352581/2399", "answer_type": "rational", "kind": "expression", "math_text": "67059 / 2399 + (-45103 + 9014 + (-8271))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 67059, \"b\": 2399, \"c\": -45103, \"d\": 9014, \"e\": -8271}", "seed": "15681016094390791937", "semantic_fingerprint": "sha256:85a24f52ffc6041bf70573c40ed3ac0f6bfec885a56c9f3352c28258832aad03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002435", "prompt": "Compute: -3839 + (-3915) - (2205 - (-1955))", "solution_steps": ["Add: -3839 + (-3915) = -7754", "Subtract: 2205 - (-1955) = 4160", "Subtract: -7754 - 4160 = -11914"], "final_answer": "-11914", "answer_type": "integer", "kind": "expression", "math_text": "-3839 + (-3915) - (2205 - (-1955))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3839, \"b\": -3915, \"c\": 2205, \"d\": -1955}", "seed": "16138921821096086603", "semantic_fingerprint": "sha256:aaa42784db06881ae85aa019145067e11e22d544054e8aba7364c2651b77c6f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002436", "prompt": "Calculate: 4125 / (3133 / 3825)", "solution_steps": ["Divide: 3133 / 3825 = 3133/3825", "Divide: 4125 / (3133/3825) = 15778125/3133"], "final_answer": "15778125/3133", "answer_type": "rational", "kind": "expression", "math_text": "4125 / (3133 / 3825)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4125, \"b\": 3133, \"c\": 3825}", "seed": "1273225480291406192", "semantic_fingerprint": "sha256:18ac4ee8feb731ff5fc4328adf2f3c0fd8b9dee5516feb1709edee6edf8c5504", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002437", "prompt": "Evaluate: 4039 / (-5349 - 8747) - (-3689 + 8006) * 1956", "solution_steps": ["Subtract: -5349 - 8747 = -14096", "Divide: 4039 / (-14096) = -4039/14096", "Add: -3689 + 8006 = 4317", "Multiply: 4317 * 1956 = 8444052", "Subtract: -4039/14096 - 8444052 = -119027361031/14096"], "final_answer": "-119027361031/14096", "answer_type": "rational", "kind": "expression", "math_text": "4039 / (-5349 - 8747) - (-3689 + 8006) * 1956", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4039, \"b\": -5349, \"c\": 8747, \"d\": -3689, \"e\": 8006, \"f\": 1956}", "seed": "15412103336561844757", "semantic_fingerprint": "sha256:49abbe2846f67dad614eb1299a17c0611dca9cb0dc9e4689cc1b6ed7588f0326", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002438", "prompt": "Solve the equation x = 32x - 6200 for x.", "solution_steps": ["Subtract 32x from both sides: -31x = -6200", "Divide both sides by -31: x = 200"], "final_answer": "200", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 32x - 6200", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": -6200, \"x\": 200}", "seed": "14708934071262793974", "semantic_fingerprint": "sha256:52d74df982c0462cb0ebbe497d947486ac17f9bb0eb9ba9774a3dc14be7eb5e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002439", "prompt": "Solve the equation x + 32348 = 14(x + 6122) - 50851 for x.", "solution_steps": ["Expand: x + 32348 = 14x + 85708 - 50851", "Combine constants: x + 32348 = 14x + 34857", "Subtract 14x from both sides: -13x + 32348 = 34857", "Subtract 32348 from both sides: -13x = 2509", "Divide both sides by -13: x = -193"], "final_answer": "-193", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 32348 = 14(x + 6122) - 50851", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32348, \"b\": 14, \"c\": 6122, \"e\": -50851, \"x\": -193}", "seed": "67824185319611319", "semantic_fingerprint": "sha256:d55516f068ca3a04830a54d487d5140e2936a4febd9f3ac7709605f0fa05b062", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002440", "prompt": "Evaluate: 5174 / (-8625) + (-6543) + (-12377)", "solution_steps": ["Divide: 5174 / (-8625) = -5174/8625", "Add: -5174/8625 + (-6543) = -56438549/8625", "Add: -56438549/8625 + (-12377) = -163190174/8625"], "final_answer": "-163190174/8625", "answer_type": "rational", "kind": "expression", "math_text": "5174 / (-8625) + (-6543) + (-12377)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5174, \"b\": -8625, \"c\": -6543, \"d\": -12377}", "seed": "507489532493353132", "semantic_fingerprint": "sha256:61985900556209103c8de08d718d7812d5f60f7303f446b99baeded7b8c0a691", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002441", "prompt": "Calculate: 2932 - (-3057 + (-58434) / (-34661)) * 7172", "solution_steps": ["Divide: -58434 / (-34661) = 58434/34661", "Add: -3057 + 58434/34661 = -105900243/34661", "Multiply: (-105900243/34661) * 7172 = -69046958436/3151", "Subtract: 2932 - (-69046958436/3151) = 69056197168/3151"], "final_answer": "69056197168/3151", "answer_type": "rational", "kind": "expression", "math_text": "2932 - (-3057 + (-58434) / (-34661)) * 7172", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2932, \"b\": -3057, \"c\": -58434, \"d\": -34661, \"e\": 7172}", "seed": "16029509796649094929", "semantic_fingerprint": "sha256:95d076be146b1578f47f343b679a66d3d2a2dce1ca15b9ac29cc352df7b3c24d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002442", "prompt": "Compute: -26723 - 6883", "solution_steps": ["Subtract: -26723 - 6883 = -33606"], "final_answer": "-33606", "answer_type": "integer", "kind": "expression", "math_text": "-26723 - 6883", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -26723, \"b\": 6883}", "seed": "3307289165014689072", "semantic_fingerprint": "sha256:fc2a939369bb8bd5a5f6d34da835d6b636fc5161378cc9c8434a9b3909284261", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002443", "prompt": "Calculate: (3328 + 97969) / 9655", "solution_steps": ["Add: 3328 + 97969 = 101297", "Divide: 101297 / 9655 = 101297/9655"], "final_answer": "101297/9655", "answer_type": "rational", "kind": "expression", "math_text": "(3328 + 97969) / 9655", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3328, \"b\": 97969, \"c\": 9655}", "seed": "10876444593195351600", "semantic_fingerprint": "sha256:5ad1246c0a4ec16fe2321706d4a98b25f970bf5d71c5212530cd20faa26221bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002444", "prompt": "What is -2322 - (5613 - 2314) + (-81923)?", "solution_steps": ["Subtract: 5613 - 2314 = 3299", "Subtract: -2322 - 3299 = -5621", "Add: -5621 + (-81923) = -87544"], "final_answer": "-87544", "answer_type": "integer", "kind": "expression", "math_text": "-2322 - (5613 - 2314) + (-81923)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2322, \"b\": 5613, \"c\": 2314, \"d\": -81923}", "seed": "1531574425296510144", "semantic_fingerprint": "sha256:858462db18221aff9fd847e1c7d5df9cf584362340906fc8852848895040596a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002445", "prompt": "What is (43888 - (-2264)) * 84569?", "solution_steps": ["Subtract: 43888 - (-2264) = 46152", "Multiply: 46152 * 84569 = 3903028488"], "final_answer": "3903028488", "answer_type": "integer", "kind": "expression", "math_text": "(43888 - (-2264)) * 84569", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43888, \"b\": -2264, \"c\": 84569}", "seed": "10608738761414389483", "semantic_fingerprint": "sha256:0526c4263dbcfb6c526530c9e568ecfca8f1cd6df311336e4e0799dc09859516", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002446", "prompt": "Evaluate: -54115 + 2204", "solution_steps": ["Add: -54115 + 2204 = -51911"], "final_answer": "-51911", "answer_type": "integer", "kind": "expression", "math_text": "-54115 + 2204", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -54115, \"b\": 2204}", "seed": "8619354493180511245", "semantic_fingerprint": "sha256:90f283626595311699dd0f80fb492c9f296d4caa83b14dffbc3e9cf497e3b2db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002447", "prompt": "Calculate: -12094 + 1059 - 5801", "solution_steps": ["Add: -12094 + 1059 = -11035", "Subtract: -11035 - 5801 = -16836"], "final_answer": "-16836", "answer_type": "integer", "kind": "expression", "math_text": "-12094 + 1059 - 5801", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12094, \"b\": 1059, \"c\": 5801}", "seed": "12413472952327902446", "semantic_fingerprint": "sha256:7c6391cf9beb56c76386d22e597b903c298768b8a7889e96435d54149751b465", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002448", "prompt": "Compute: 4401 - 90204", "solution_steps": ["Subtract: 4401 - 90204 = -85803"], "final_answer": "-85803", "answer_type": "integer", "kind": "expression", "math_text": "4401 - 90204", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4401, \"b\": 90204}", "seed": "521575076290785066", "semantic_fingerprint": "sha256:85181286cce2cac4a04237b29a4f5a0fd5f84b87a7cdc89a8e52296aa93be44b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002449", "prompt": "Solve the equation -17x = 16x - 2112 for x.", "solution_steps": ["Subtract 16x from both sides: -33x = -2112", "Divide both sides by -33: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x = 16x - 2112", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 16, \"d\": -2112, \"x\": 64}", "seed": "8673796283714593635", "semantic_fingerprint": "sha256:e755749256a154678bd63410dff17b40811826808560dba550689019bf315bbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002450", "prompt": "Calculate: (-8887 * 4409 - (-87553)) / 53145", "solution_steps": ["Multiply: -8887 * 4409 = -39182783", "Subtract: -39182783 - (-87553) = -39095230", "Divide: -39095230 / 53145 = -7819046/10629"], "final_answer": "-7819046/10629", "answer_type": "rational", "kind": "expression", "math_text": "(-8887 * 4409 - (-87553)) / 53145", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8887, \"b\": 4409, \"c\": -87553, \"d\": 53145}", "seed": "1917040956940089608", "semantic_fingerprint": "sha256:9f0c65a706c94ee99f64e98d40be09cb79ecce3b72ad80cd651bd66026cd361a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002451", "prompt": "Compute: 2363 - 9457 - (-1940) * (-55386)", "solution_steps": ["Subtract: 2363 - 9457 = -7094", "Multiply: -1940 * (-55386) = 107448840", "Subtract: -7094 - 107448840 = -107455934"], "final_answer": "-107455934", "answer_type": "integer", "kind": "expression", "math_text": "2363 - 9457 - (-1940) * (-55386)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2363, \"b\": 9457, \"c\": -1940, \"d\": -55386}", "seed": "12257621511810956622", "semantic_fingerprint": "sha256:5f746282b19293895fbd177bec8de4f7b624d25e55afefb9ec7113124ee940b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002452", "prompt": "Compute: 7795 + (-26803)", "solution_steps": ["Add: 7795 + (-26803) = -19008"], "final_answer": "-19008", "answer_type": "integer", "kind": "expression", "math_text": "7795 + (-26803)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7795, \"b\": -26803}", "seed": "11538897221274556330", "semantic_fingerprint": "sha256:224a34a02a03cce5ea6319377506d94fe05712bbbb186af64564cd8e5cd5a184", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002453", "prompt": "What value of x satisfies 29x - 2955 = 28(x + 45131) - 6594?", "solution_steps": ["Expand: 29x - 2955 = 28x + 1263668 - 6594", "Combine constants: 29x - 2955 = 28x + 1257074", "Subtract 28x from both sides: x - 2955 = 1257074", "Add 2955 to both sides: x = 1260029"], "final_answer": "1260029", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x - 2955 = 28(x + 45131) - 6594", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2955, \"c\": 28, \"d\": 45131, \"e\": 6594}", "seed": "3587261946084316", "semantic_fingerprint": "sha256:0818c71dfdce62f6381b61b69ce4643a50cf338bb2174cdf88af47b5e3b85f9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002454", "prompt": "Solve for x: -37x + 1216 = x", "solution_steps": ["Subtract x from both sides: -38x + 1216 = 0", "Subtract 1216 from both sides: -38x = -1216", "Divide both sides by -38: x = 32"], "final_answer": "32", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x + 1216 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"c\": 1216, \"x\": 32}", "seed": "11976361720555580707", "semantic_fingerprint": "sha256:9de994982d08c28919aa9e99301068697f1f33fcb22195a869adc875a6b21fce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002455", "prompt": "What is 9653 * 56233 / (-6262)?", "solution_steps": ["Multiply: 9653 * 56233 = 542817149", "Divide: 542817149 / (-6262) = -542817149/6262"], "final_answer": "-542817149/6262", "answer_type": "rational", "kind": "expression", "math_text": "9653 * 56233 / (-6262)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9653, \"b\": 56233, \"c\": -6262}", "seed": "9095493557314888190", "semantic_fingerprint": "sha256:56cba1eeed2c559517978661a0c7a8cdc5a9345412df575168cf99542eb7179e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002456", "prompt": "Find x: x + 7883 = 33(x - 7434) - 4519", "solution_steps": ["Expand: x + 7883 = 33x - 245322 - 4519", "Combine constants: x + 7883 = 33x - 249841", "Subtract 33x from both sides: -32x + 7883 = -249841", "Subtract 7883 from both sides: -32x = -257724", "Divide both sides by -32: x = 64431/8"], "final_answer": "64431/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7883 = 33(x - 7434) - 4519", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7883, \"b\": 33, \"c\": 7434, \"d\": 4519}", "seed": "4516512942756238031", "semantic_fingerprint": "sha256:5a7d5fa717fea8beb5f487bb32aed54bf3a4342156127b40b167d6a787df9ffc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002457", "prompt": "Calculate: 8797 + (3473 + 8716)", "solution_steps": ["Add: 3473 + 8716 = 12189", "Add: 8797 + 12189 = 20986"], "final_answer": "20986", "answer_type": "integer", "kind": "expression", "math_text": "8797 + (3473 + 8716)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8797, \"b\": 3473, \"c\": 8716}", "seed": "7077679155171270116", "semantic_fingerprint": "sha256:9e1c55a5d82470ca1e4d1fb827525e5b2506018fa96e422fd1e935cb964d60ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002458", "prompt": "Evaluate: -37435 * 1946", "solution_steps": ["Multiply: -37435 * 1946 = -72848510"], "final_answer": "-72848510", "answer_type": "integer", "kind": "expression", "math_text": "-37435 * 1946", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -37435, \"b\": 1946}", "seed": "16316245481056928989", "semantic_fingerprint": "sha256:c0cb6a97d3d87c6333754bb975b165ecb6c7558af4d0b09cded243cba59d3f2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002459", "prompt": "Compute: 4912 * 6998 / (-61999)", "solution_steps": ["Multiply: 4912 * 6998 = 34374176", "Divide: 34374176 / (-61999) = -34374176/61999"], "final_answer": "-34374176/61999", "answer_type": "rational", "kind": "expression", "math_text": "4912 * 6998 / (-61999)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4912, \"b\": 6998, \"c\": -61999}", "seed": "15470653968885887206", "semantic_fingerprint": "sha256:6942d8026cec8daaa687fa03f156d30e3a6b0742e28b96bcd8e4babc97416b12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002460", "prompt": "What is 1033 - 83755?", "solution_steps": ["Subtract: 1033 - 83755 = -82722"], "final_answer": "-82722", "answer_type": "integer", "kind": "expression", "math_text": "1033 - 83755", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1033, \"b\": 83755}", "seed": "15415858686883002704", "semantic_fingerprint": "sha256:c44e5a096073d88901ac7d3a8a306f9988dcd66e52ed76c8830bc41c66cec1eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002461", "prompt": "Evaluate: -1543 * (-83506 - (-2988))", "solution_steps": ["Subtract: -83506 - (-2988) = -80518", "Multiply: -1543 * (-80518) = 124239274"], "final_answer": "124239274", "answer_type": "integer", "kind": "expression", "math_text": "-1543 * (-83506 - (-2988))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1543, \"b\": -83506, \"c\": -2988}", "seed": "278142514581624596", "semantic_fingerprint": "sha256:a4995aab3c71f8e93035ee6d76e9c7eb1149278ff7dc284cb3c3da353e6bda0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002462", "prompt": "What is 85552 - 4334 * 62497 + (-26502) + (-9442 - 15285)?", "solution_steps": ["Multiply: 4334 * 62497 = 270861998", "Subtract: 85552 - 270861998 = -270776446", "Add: -270776446 + (-26502) = -270802948", "Subtract: -9442 - 15285 = -24727", "Add: -270802948 + (-24727) = -270827675"], "final_answer": "-270827675", "answer_type": "integer", "kind": "expression", "math_text": "85552 - 4334 * 62497 + (-26502) + (-9442 - 15285)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (* n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 85552, \"b\": 4334, \"c\": 62497, \"d\": -26502, \"e\": -9442, \"f\": 15285}", "seed": "9860142677003126301", "semantic_fingerprint": "sha256:ed919eca4bcc081d342345b2595e24a0b6f1e636a85a60f1339c5cba8c48835f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002463", "prompt": "Calculate: 1274 + 30439 / 94218", "solution_steps": ["Divide: 30439 / 94218 = 30439/94218", "Add: 1274 + 30439/94218 = 120064171/94218"], "final_answer": "120064171/94218", "answer_type": "rational", "kind": "expression", "math_text": "1274 + 30439 / 94218", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1274, \"b\": 30439, \"c\": 94218}", "seed": "3590223132571150565", "semantic_fingerprint": "sha256:f62722e6e931e9d3d16e7f7b142757a28839c4737a39ab6d686989aa10f88e58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002464", "prompt": "Calculate: 75103 + 97175 * (2933 + 62111)", "solution_steps": ["Add: 2933 + 62111 = 65044", "Multiply: 97175 * 65044 = 6320650700", "Add: 75103 + 6320650700 = 6320725803"], "final_answer": "6320725803", "answer_type": "integer", "kind": "expression", "math_text": "75103 + 97175 * (2933 + 62111)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75103, \"b\": 97175, \"c\": 2933, \"d\": 62111}", "seed": "948776544297832925", "semantic_fingerprint": "sha256:a74a6d7161640625ac45a3d93d445708c38c7d264c2ee944ecfce734463b0033", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002465", "prompt": "What value of x satisfies 24x = 14x - 29509?", "solution_steps": ["Subtract 14x from both sides: 10x = -29509", "Divide both sides by 10: x = -29509/10"], "final_answer": "-29509/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = 14x - 29509", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 14, \"c\": 29509}", "seed": "7498685661477570313", "semantic_fingerprint": "sha256:3ecd725aae341b3e61e34da3c49c0a6173f95490f7439137605b483e2c30827d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002466", "prompt": "What is 44804 + (-3748) - (-84715)?", "solution_steps": ["Add: 44804 + (-3748) = 41056", "Subtract: 41056 - (-84715) = 125771"], "final_answer": "125771", "answer_type": "integer", "kind": "expression", "math_text": "44804 + (-3748) - (-84715)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44804, \"b\": -3748, \"c\": -84715}", "seed": "14770685636996600878", "semantic_fingerprint": "sha256:c1a1e62e90913bd149eb30d7916284f97224d57cdba232206c173f20d4de2310", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002467", "prompt": "What value of x satisfies 35x - 7005 = 21(x - 81633) - 85583?", "solution_steps": ["Expand: 35x - 7005 = 21x - 1714293 - 85583", "Combine constants: 35x - 7005 = 21x - 1799876", "Subtract 21x from both sides: 14x - 7005 = -1799876", "Add 7005 to both sides: 14x = -1792871", "Divide both sides by 14: x = -1792871/14"], "final_answer": "-1792871/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x - 7005 = 21(x - 81633) - 85583", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7005, \"c\": 21, \"d\": 81633, \"e\": 85583}", "seed": "3498759069752291723", "semantic_fingerprint": "sha256:e21f7d54e36b11fd1e1d5c9c64b4778471ce892c55bb27cd13dd4ce5bb21e0c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002468", "prompt": "What is -8236 * (-8645) / (-7968 - (-1004))?", "solution_steps": ["Multiply: -8236 * (-8645) = 71200220", "Subtract: -7968 - (-1004) = -6964", "Divide: 71200220 / (-6964) = -17800055/1741"], "final_answer": "-17800055/1741", "answer_type": "rational", "kind": "expression", "math_text": "-8236 * (-8645) / (-7968 - (-1004))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8236, \"b\": -8645, \"c\": -7968, \"d\": -1004}", "seed": "10531883782078702138", "semantic_fingerprint": "sha256:0457a51b3db082154989fa30fae76c85700e6086a72a4565c28a934604c950b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002469", "prompt": "Calculate: 4159 * (-3922 / (-21295))", "solution_steps": ["Divide: -3922 / (-21295) = 3922/21295", "Multiply: 4159 * (3922/21295) = 16311598/21295"], "final_answer": "16311598/21295", "answer_type": "rational", "kind": "expression", "math_text": "4159 * (-3922 / (-21295))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4159, \"b\": -3922, \"c\": -21295}", "seed": "17545108089898495666", "semantic_fingerprint": "sha256:acf296d9c1c12e30cec2cacb52971db5542f6822fc81161874d8473b93b4afbe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002470", "prompt": "Compute: -2411 + 4715 * (-7394 - 1217)", "solution_steps": ["Subtract: -7394 - 1217 = -8611", "Multiply: 4715 * (-8611) = -40600865", "Add: -2411 + (-40600865) = -40603276"], "final_answer": "-40603276", "answer_type": "integer", "kind": "expression", "math_text": "-2411 + 4715 * (-7394 - 1217)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2411, \"b\": 4715, \"c\": -7394, \"d\": 1217}", "seed": "5889032559843625190", "semantic_fingerprint": "sha256:f7364ba7f90f65bbf177175fa79aec3ebd0181a19f6ae7066ba214f6b6e23559", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002471", "prompt": "What value of x satisfies x + 46537 = -20x + 49477?", "solution_steps": ["Add 20x to both sides: 21x + 46537 = 49477", "Subtract 46537 from both sides: 21x = 2940", "Divide both sides by 21: x = 140"], "final_answer": "140", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 46537 = -20x + 49477", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 46537, \"b\": -20, \"d\": 49477, \"x\": 140}", "seed": "3618427526885981682", "semantic_fingerprint": "sha256:7d16f89a19f7e24cf93562d5068e18ef2e84952464a1a812b971e7deffa80ac5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002472", "prompt": "Find x: -27(x + 7030) + 6977 = 19(x + 34817) + 36629", "solution_steps": ["Expand: -27x - 189810 + 6977 = 19(x + 34817) + 36629", "Expand: -27x - 189810 + 6977 = 19x + 661523 + 36629", "Combine constants: -27x - 182833 = 19x + 661523 + 36629", "Combine constants: -27x - 182833 = 19x + 698152", "Subtract 19x from both sides: -46x - 182833 = 698152", "Add 182833 to both sides: -46x = 880985", "Divide both sides by -46: x = -880985/46"], "final_answer": "-880985/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x + 7030) + 6977 = 19(x + 34817) + 36629", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 7030, \"c\": 6977, \"d\": 19, \"e\": 34817, \"f\": 36629}", "seed": "18429308210978101757", "semantic_fingerprint": "sha256:abde517c9d4752cabbea254bef623a5cdd33c25592d74973f6321e95d89a32ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002473", "prompt": "Evaluate: -13478 * 32428 + (38009 * (-93262) - (-1526))", "solution_steps": ["Multiply: -13478 * 32428 = -437064584", "Multiply: 38009 * (-93262) = -3544795358", "Subtract: -3544795358 - (-1526) = -3544793832", "Add: -437064584 + (-3544793832) = -3981858416"], "final_answer": "-3981858416", "answer_type": "integer", "kind": "expression", "math_text": "-13478 * 32428 + (38009 * (-93262) - (-1526))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13478, \"b\": 32428, \"c\": 38009, \"d\": -93262, \"e\": -1526}", "seed": "3134956465985493991", "semantic_fingerprint": "sha256:b0b654977456497606b3306806f81cdceaccf29e5dc912865fe75173c6c2c7a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002474", "prompt": "Compute: (-74375 - (-58648 - 7829 + (-8593) * (-57723))) / 55960", "solution_steps": ["Subtract: -58648 - 7829 = -66477", "Multiply: -8593 * (-57723) = 496013739", "Add: -66477 + 496013739 = 495947262", "Subtract: -74375 - 495947262 = -496021637", "Divide: -496021637 / 55960 = -496021637/55960"], "final_answer": "-496021637/55960", "answer_type": "rational", "kind": "expression", "math_text": "(-74375 - (-58648 - 7829 + (-8593) * (-57723))) / 55960", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ (- n n) (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -74375, \"b\": -58648, \"c\": 7829, \"d\": -8593, \"e\": -57723, \"f\": 55960}", "seed": "2081848052795512497", "semantic_fingerprint": "sha256:4ca791825835496c59293f602a616441162212720b5bd0b5753b7f09f117196c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002475", "prompt": "Calculate: 1332 - (-56203) + (-10530) * (44357 - 9223)", "solution_steps": ["Subtract: 1332 - (-56203) = 57535", "Subtract: 44357 - 9223 = 35134", "Multiply: -10530 * 35134 = -369961020", "Add: 57535 + (-369961020) = -369903485"], "final_answer": "-369903485", "answer_type": "integer", "kind": "expression", "math_text": "1332 - (-56203) + (-10530) * (44357 - 9223)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1332, \"b\": -56203, \"c\": -10530, \"d\": 44357, \"e\": 9223}", "seed": "10788511712703496073", "semantic_fingerprint": "sha256:ad3b88e78d32e10b430f9900956abe11ed8033d0c8306d0eabf50f69a9086289", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002476", "prompt": "Calculate: -7637 * 3658", "solution_steps": ["Multiply: -7637 * 3658 = -27936146"], "final_answer": "-27936146", "answer_type": "integer", "kind": "expression", "math_text": "-7637 * 3658", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7637, \"b\": 3658}", "seed": "15125923674515659153", "semantic_fingerprint": "sha256:b2c4b187c3ed47eeb9358af1894d27f554fb82cee8fb16ca98870b0564224ea5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002477", "prompt": "Find x: -30x - 2948 = 30(x - 6016) + 96875", "solution_steps": ["Expand: -30x - 2948 = 30x - 180480 + 96875", "Combine constants: -30x - 2948 = 30x - 83605", "Subtract 30x from both sides: -60x - 2948 = -83605", "Add 2948 to both sides: -60x = -80657", "Divide both sides by -60: x = 80657/60"], "final_answer": "80657/60", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30x - 2948 = 30(x - 6016) + 96875", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 2948, \"c\": 30, \"d\": 6016, \"e\": 96875}", "seed": "1589995679503497495", "semantic_fingerprint": "sha256:db9f375bc2f1b843963015070da0005e9eef8159adf307783f1cf19530642529", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002478", "prompt": "What is -7055 + (1181 - (-8781) - (-3764) - (-9590))?", "solution_steps": ["Subtract: 1181 - (-8781) = 9962", "Subtract: 9962 - (-3764) = 13726", "Subtract: 13726 - (-9590) = 23316", "Add: -7055 + 23316 = 16261"], "final_answer": "16261", "answer_type": "integer", "kind": "expression", "math_text": "-7055 + (1181 - (-8781) - (-3764) - (-9590))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7055, \"b\": 1181, \"c\": -8781, \"d\": -3764, \"e\": -9590}", "seed": "14585841908377677847", "semantic_fingerprint": "sha256:8953980610f3a9b1986e15642945c1ff68c05827c7fee8add2d6060727fa8e84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002479", "prompt": "Solve the equation -15(x + 82836) - 4097 = 30(x - 47204) + 2813 for x.", "solution_steps": ["Expand: -15x - 1242540 - 4097 = 30(x - 47204) + 2813", "Expand: -15x - 1242540 - 4097 = 30x - 1416120 + 2813", "Combine constants: -15x - 1246637 = 30x - 1416120 + 2813", "Combine constants: -15x - 1246637 = 30x - 1413307", "Subtract 30x from both sides: -45x - 1246637 = -1413307", "Add 1246637 to both sides: -45x = -166670", "Divide both sides by -45: x = 33334/9"], "final_answer": "33334/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x + 82836) - 4097 = 30(x - 47204) + 2813", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 82836, \"c\": 4097, \"d\": 30, \"e\": 47204, \"f\": 2813}", "seed": "18297286979572888959", "semantic_fingerprint": "sha256:d86934daf488c65164cdabe3a6801d9571843de599cb272581d9b92dff042eab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002480", "prompt": "Solve for x: 30x = -24(x - 75458)", "solution_steps": ["Expand: 30x = -24x + 1810992", "Add 24x to both sides: 54x = 1810992", "Divide both sides by 54: x = 301832/9"], "final_answer": "301832/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = -24(x - 75458)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -24, \"c\": 75458}", "seed": "16399024939851450808", "semantic_fingerprint": "sha256:f6c8fe04ebd7ded43dd3865ddec7500d7fc1a912614b7c6b4f7d7753c4929284", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002481", "prompt": "Calculate: -6125 + (-10725)", "solution_steps": ["Add: -6125 + (-10725) = -16850"], "final_answer": "-16850", "answer_type": "integer", "kind": "expression", "math_text": "-6125 + (-10725)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6125, \"b\": -10725}", "seed": "659582912060355266", "semantic_fingerprint": "sha256:57217a97278a83a32dbbb71a749a69990f10258c80d580a25acb54357fe6eae5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002482", "prompt": "Compute: 1827 - (8808 - (-9117 + 20555))", "solution_steps": ["Add: -9117 + 20555 = 11438", "Subtract: 8808 - 11438 = -2630", "Subtract: 1827 - (-2630) = 4457"], "final_answer": "4457", "answer_type": "integer", "kind": "expression", "math_text": "1827 - (8808 - (-9117 + 20555))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1827, \"b\": 8808, \"c\": -9117, \"d\": 20555}", "seed": "13526972533423556057", "semantic_fingerprint": "sha256:e6c09665829849e688b43215a316c0dbd7f75ebf2b82adbd30e1052c31a6b489", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002483", "prompt": "What is 8608 / 3225 * 16702?", "solution_steps": ["Divide: 8608 / 3225 = 8608/3225", "Multiply: (8608/3225) * 16702 = 143770816/3225"], "final_answer": "143770816/3225", "answer_type": "rational", "kind": "expression", "math_text": "8608 / 3225 * 16702", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8608, \"b\": 3225, \"c\": 16702}", "seed": "8424945984967121871", "semantic_fingerprint": "sha256:645dabd7f149bbf8a13229c7f1685b5868f97d93cdcefbead9ce47eae0e876ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002484", "prompt": "Evaluate: (-3833 - (-3861)) / (-7736 / (-58692))", "solution_steps": ["Subtract: -3833 - (-3861) = 28", "Divide: -7736 / (-58692) = 1934/14673", "Divide: 28 / (1934/14673) = 205422/967"], "final_answer": "205422/967", "answer_type": "rational", "kind": "expression", "math_text": "(-3833 - (-3861)) / (-7736 / (-58692))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3833, \"b\": -3861, \"c\": -7736, \"d\": -58692}", "seed": "11570745626195960886", "semantic_fingerprint": "sha256:99a6b9444246b93b51ceb3133c0afe25283000204f067edf82a39dcbc98dced4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002485", "prompt": "Evaluate: 5669 - 61807 - (4598 - (-12955))", "solution_steps": ["Subtract: 5669 - 61807 = -56138", "Subtract: 4598 - (-12955) = 17553", "Subtract: -56138 - 17553 = -73691"], "final_answer": "-73691", "answer_type": "integer", "kind": "expression", "math_text": "5669 - 61807 - (4598 - (-12955))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5669, \"b\": 61807, \"c\": 4598, \"d\": -12955}", "seed": "10157078515490703724", "semantic_fingerprint": "sha256:f447074f9ffd8bc2cce349a03bf83785487e8a3c6e338803942e199199d8bbcd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002486", "prompt": "Evaluate: -50240 * (92626 - (5818 - 7540)) - 48644 * 6109", "solution_steps": ["Subtract: 5818 - 7540 = -1722", "Subtract: 92626 - (-1722) = 94348", "Multiply: -50240 * 94348 = -4740043520", "Multiply: 48644 * 6109 = 297166196", "Subtract: -4740043520 - 297166196 = -5037209716"], "final_answer": "-5037209716", "answer_type": "integer", "kind": "expression", "math_text": "-50240 * (92626 - (5818 - 7540)) - 48644 * 6109", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (- n n))) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -50240, \"b\": 92626, \"c\": 5818, \"d\": 7540, \"e\": 48644, \"f\": 6109}", "seed": "6833509696900485674", "semantic_fingerprint": "sha256:6be1d6e342009ff7e09810814103e791ede1c5786139845fff3297b192033052", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002487", "prompt": "Solve for x: 19(x + 5828) + 40886 = 21(x + 5068) + 40665", "solution_steps": ["Expand: 19x + 110732 + 40886 = 21(x + 5068) + 40665", "Expand: 19x + 110732 + 40886 = 21x + 106428 + 40665", "Combine constants: 19x + 151618 = 21x + 106428 + 40665", "Combine constants: 19x + 151618 = 21x + 147093", "Subtract 21x from both sides: -2x + 151618 = 147093", "Subtract 151618 from both sides: -2x = -4525", "Divide both sides by -2: x = 4525/2"], "final_answer": "4525/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 5828) + 40886 = 21(x + 5068) + 40665", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5828, \"c\": 40886, \"d\": 21, \"e\": 5068, \"f\": 40665}", "seed": "5335838048244056680", "semantic_fingerprint": "sha256:304048b24af9aee34f6433da66defbffabb72f2ba78b43f0b8d1e93bf291953e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002488", "prompt": "Solve for x: -32(x + 1943) = 22(x - 2634) - 6165", "solution_steps": ["Expand: -32x - 62176 = 22(x - 2634) - 6165", "Expand: -32x - 62176 = 22x - 57948 - 6165", "Combine constants: -32x - 62176 = 22x - 64113", "Subtract 22x from both sides: -54x - 62176 = -64113", "Add 62176 to both sides: -54x = -1937", "Divide both sides by -54: x = 1937/54"], "final_answer": "1937/54", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x + 1943) = 22(x - 2634) - 6165", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 1943, \"c\": 22, \"d\": 2634, \"e\": 6165}", "seed": "14597649714017567055", "semantic_fingerprint": "sha256:21c44f846c0c7c61e4b0ca6cf0644ee3d23146c71127c10e70beffe58226dc8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002489", "prompt": "What is 8204 - (7826 - (-86807))?", "solution_steps": ["Subtract: 7826 - (-86807) = 94633", "Subtract: 8204 - 94633 = -86429"], "final_answer": "-86429", "answer_type": "integer", "kind": "expression", "math_text": "8204 - (7826 - (-86807))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8204, \"b\": 7826, \"c\": -86807}", "seed": "9450984802265114586", "semantic_fingerprint": "sha256:044cf7cc01dfcb14120ddb3577e3b29069248bf73c4af80839451eb1347094ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002490", "prompt": "Calculate: -9933 * (-7628) / (-5886) + 53413", "solution_steps": ["Multiply: -9933 * (-7628) = 75768924", "Divide: 75768924 / (-5886) = -12628154/981", "Add: -12628154/981 + 53413 = 39769999/981"], "final_answer": "39769999/981", "answer_type": "rational", "kind": "expression", "math_text": "-9933 * (-7628) / (-5886) + 53413", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9933, \"b\": -7628, \"c\": -5886, \"d\": 53413}", "seed": "5597723605678401592", "semantic_fingerprint": "sha256:806aaf7049d2cc302da147b24ebbe1a58b33728e9ab27fb6d57ccf95aa0c31de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002491", "prompt": "What is 70837 * (-2741)?", "solution_steps": ["Multiply: 70837 * (-2741) = -194164217"], "final_answer": "-194164217", "answer_type": "integer", "kind": "expression", "math_text": "70837 * (-2741)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 70837, \"b\": -2741}", "seed": "5368559943146138850", "semantic_fingerprint": "sha256:7f84323b4e86ca6e93b9f69bb01545d809e85a999e9188437754d5d1b313becd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002492", "prompt": "Compute: 1811 * (4575 / (-11551) - (-2404)) + 9609", "solution_steps": ["Divide: 4575 / (-11551) = -4575/11551", "Subtract: -4575/11551 - (-2404) = 27764029/11551", "Multiply: 1811 * (27764029/11551) = 50280656519/11551", "Add: 50280656519/11551 + 9609 = 50391650078/11551"], "final_answer": "50391650078/11551", "answer_type": "rational", "kind": "expression", "math_text": "1811 * (4575 / (-11551) - (-2404)) + 9609", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1811, \"b\": 4575, \"c\": -11551, \"d\": -2404, \"e\": 9609}", "seed": "4736892376507315607", "semantic_fingerprint": "sha256:018b44064310528f18ceeb9bdc2467d9d62ebf08ab1b1c5b51418a8ff1b76748", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002493", "prompt": "Solve the equation x = -38x - 5616 for x.", "solution_steps": ["Add 38x to both sides: 39x = -5616", "Divide both sides by 39: x = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -38x - 5616", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38, \"c\": -5616, \"x\": -144}", "seed": "10278461257367403395", "semantic_fingerprint": "sha256:d95ec7168eb9f8bfbc3bc88ca49c9a78bf4e1cf635ef14955b6d5ecd1b17ad7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002494", "prompt": "Find x: -39(x + 9266) = 18(x + 67216) + 5197", "solution_steps": ["Expand: -39x - 361374 = 18(x + 67216) + 5197", "Expand: -39x - 361374 = 18x + 1209888 + 5197", "Combine constants: -39x - 361374 = 18x + 1215085", "Subtract 18x from both sides: -57x - 361374 = 1215085", "Add 361374 to both sides: -57x = 1576459", "Divide both sides by -57: x = -1576459/57"], "final_answer": "-1576459/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 9266) = 18(x + 67216) + 5197", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 9266, \"c\": 18, \"d\": 67216, \"e\": 5197}", "seed": "18409083404506273935", "semantic_fingerprint": "sha256:4da98020f21b0ecdc486b81080fd04cf6affd233db8962e9c652a7a1f3f50cda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002495", "prompt": "Evaluate: 99535 + (9651 - (-58737))", "solution_steps": ["Subtract: 9651 - (-58737) = 68388", "Add: 99535 + 68388 = 167923"], "final_answer": "167923", "answer_type": "integer", "kind": "expression", "math_text": "99535 + (9651 - (-58737))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99535, \"b\": 9651, \"c\": -58737}", "seed": "4856214656368569513", "semantic_fingerprint": "sha256:89de0b618ea69fd2303dbd710e05d9211ceec9b8498505b58bbc3e428075a4ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002496", "prompt": "Evaluate: -8409 - 51773", "solution_steps": ["Subtract: -8409 - 51773 = -60182"], "final_answer": "-60182", "answer_type": "integer", "kind": "expression", "math_text": "-8409 - 51773", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8409, \"b\": 51773}", "seed": "10255480832130973346", "semantic_fingerprint": "sha256:fbef7da3724af472a45ce29dd82ce071c98bbe48b57c75cb5366354966f9947a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002497", "prompt": "Solve for x: 23(x - 72549) = 38x", "solution_steps": ["Expand: 23x - 1668627 = 38x", "Subtract 38x from both sides: -15x - 1668627 = 0", "Add 1668627 to both sides: -15x = 1668627", "Divide both sides by -15: x = -556209/5"], "final_answer": "-556209/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 72549) = 38x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 72549, \"c\": 38}", "seed": "7035620862793697368", "semantic_fingerprint": "sha256:f223aa3f41822aec62dbb926c1df2112e87c4823dfa0effa65a6ab7c084bdeb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002498", "prompt": "Calculate: (5180 * (-9179) - (-85683) - 2412) / (9674 + 8846)", "solution_steps": ["Multiply: 5180 * (-9179) = -47547220", "Subtract: -47547220 - (-85683) = -47461537", "Subtract: -47461537 - 2412 = -47463949", "Add: 9674 + 8846 = 18520", "Divide: -47463949 / 18520 = -47463949/18520"], "final_answer": "-47463949/18520", "answer_type": "rational", "kind": "expression", "math_text": "(5180 * (-9179) - (-85683) - 2412) / (9674 + 8846)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5180, \"b\": -9179, \"c\": -85683, \"d\": 2412, \"e\": 9674, \"f\": 8846}", "seed": "1862556339527789661", "semantic_fingerprint": "sha256:f0c8255f85e828e684933706d832ca6d27dcd794ff897aadac23e856be62b0ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002499", "prompt": "Compute: -9755 - (-1069) * 3003 / (-28963)", "solution_steps": ["Multiply: -1069 * 3003 = -3210207", "Divide: -3210207 / (-28963) = 291837/2633", "Subtract: -9755 - 291837/2633 = -25976752/2633"], "final_answer": "-25976752/2633", "answer_type": "rational", "kind": "expression", "math_text": "-9755 - (-1069) * 3003 / (-28963)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9755, \"b\": -1069, \"c\": 3003, \"d\": -28963}", "seed": "7244752473077311627", "semantic_fingerprint": "sha256:79c6b747421e844cec834bc16d24ad4998390f42c6c5720955cecc21f48be422", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002500", "prompt": "Solve the equation 26(x + 4724) - 35164 = -9317 for x.", "solution_steps": ["Expand: 26x + 122824 - 35164 = -9317", "Combine constants: 26x + 87660 = -9317", "Subtract 87660 from both sides: 26x = -96977", "Divide both sides by 26: x = -96977/26"], "final_answer": "-96977/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 4724) - 35164 = -9317", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 4724, \"c\": 35164, \"d\": -9317}", "seed": "631907271017093193", "semantic_fingerprint": "sha256:fd656cd7fa51695249ff1fcf685a65e81fd44369f884210ea6309f30d40f8222", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002501", "prompt": "Compute: -7014 + (-79970 / 91097 + (4616 - 7893)) + 3663", "solution_steps": ["Divide: -79970 / 91097 = -79970/91097", "Subtract: 4616 - 7893 = -3277", "Add: -79970/91097 + (-3277) = -298604839/91097", "Add: -7014 + (-298604839/91097) = -937559197/91097", "Add: -937559197/91097 + 3663 = -603870886/91097"], "final_answer": "-603870886/91097", "answer_type": "rational", "kind": "expression", "math_text": "-7014 + (-79970 / 91097 + (4616 - 7893)) + 3663", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ (/ n n) (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7014, \"b\": -79970, \"c\": 91097, \"d\": 4616, \"e\": 7893, \"f\": 3663}", "seed": "13372971485998453408", "semantic_fingerprint": "sha256:3433b92e15dadb97059641590b1688b741c2018a53669da2b236dcc4f9bcca74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002502", "prompt": "What value of x satisfies 32(x + 6709) = 38(x + 3680) + 74554?", "solution_steps": ["Expand: 32x + 214688 = 38(x + 3680) + 74554", "Expand: 32x + 214688 = 38x + 139840 + 74554", "Combine constants: 32x + 214688 = 38x + 214394", "Subtract 38x from both sides: -6x + 214688 = 214394", "Subtract 214688 from both sides: -6x = -294", "Divide both sides by -6: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x + 6709) = 38(x + 3680) + 74554", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6709, \"c\": 38, \"d\": 3680, \"f\": 74554, \"x\": 49}", "seed": "337362893941034167", "semantic_fingerprint": "sha256:f2c66caa6e724fe0a89eda9162e3335f2c05dddc18b0219c2c03a909c7dafe71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002503", "prompt": "Solve for x: x = 28(x - 2295)", "solution_steps": ["Expand: x = 28x - 64260", "Subtract 28x from both sides: -27x = -64260", "Divide both sides by -27: x = 2380"], "final_answer": "2380", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 28(x - 2295)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 2295}", "seed": "11344297429452785812", "semantic_fingerprint": "sha256:bdd2d7d01326258ed76c2dfee09155b3ceea39081bfdb58eb9f7047f4c5f859a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002504", "prompt": "Compute: 74138 - 47015 - 66584 - (-92872) * (-6537)", "solution_steps": ["Subtract: 74138 - 47015 = 27123", "Subtract: 27123 - 66584 = -39461", "Multiply: -92872 * (-6537) = 607104264", "Subtract: -39461 - 607104264 = -607143725"], "final_answer": "-607143725", "answer_type": "integer", "kind": "expression", "math_text": "74138 - 47015 - 66584 - (-92872) * (-6537)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 74138, \"b\": 47015, \"c\": 66584, \"d\": -92872, \"e\": -6537}", "seed": "18259932052513170474", "semantic_fingerprint": "sha256:23277f9f518b279641f7f8bc77317bf3cb34a59514cacb459d72056a8e49b956", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002505", "prompt": "Calculate: 47535 * (-4362)", "solution_steps": ["Multiply: 47535 * (-4362) = -207347670"], "final_answer": "-207347670", "answer_type": "integer", "kind": "expression", "math_text": "47535 * (-4362)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47535, \"b\": -4362}", "seed": "10109736653775262093", "semantic_fingerprint": "sha256:0490b04497c1761b7a56dd69ada10227568eb620c138092aff0eda08d640e198", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002506", "prompt": "Compute: -3380 / (-8237) * (1760 - 5361) * (4874 - 4293)", "solution_steps": ["Divide: -3380 / (-8237) = 3380/8237", "Subtract: 1760 - 5361 = -3601", "Multiply: (3380/8237) * (-3601) = -12171380/8237", "Subtract: 4874 - 4293 = 581", "Multiply: (-12171380/8237) * 581 = -7071571780/8237"], "final_answer": "-7071571780/8237", "answer_type": "rational", "kind": "expression", "math_text": "-3380 / (-8237) * (1760 - 5361) * (4874 - 4293)", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3380, \"b\": -8237, \"c\": 1760, \"d\": 5361, \"e\": 4874, \"f\": 4293}", "seed": "11854285748569679093", "semantic_fingerprint": "sha256:01e7a9c684ae1fd2a1e7947584bfdaba353ab2f51dc0a5aa9b240ee35a91fcc3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002507", "prompt": "Find x: -23x - 3482 = -21(x - 2697) - 60473", "solution_steps": ["Expand: -23x - 3482 = -21x + 56637 - 60473", "Combine constants: -23x - 3482 = -21x - 3836", "Add 21x to both sides: -2x - 3482 = -3836", "Add 3482 to both sides: -2x = -354", "Divide both sides by -2: x = 177"], "final_answer": "177", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x - 3482 = -21(x - 2697) - 60473", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 3482, \"c\": -21, \"d\": 2697, \"f\": -60473, \"x\": 177}", "seed": "431192513543001445", "semantic_fingerprint": "sha256:560a1cb667d994f719cb491ca935c2bf86ca9979c0ae3afd18621eabb306f18a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002508", "prompt": "What value of x satisfies x - 78796 = 17(x + 1391)?", "solution_steps": ["Expand: x - 78796 = 17x + 23647", "Subtract 17x from both sides: -16x - 78796 = 23647", "Add 78796 to both sides: -16x = 102443", "Divide both sides by -16: x = -102443/16"], "final_answer": "-102443/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 78796 = 17(x + 1391)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78796, \"b\": 17, \"c\": 1391}", "seed": "12431664909573224623", "semantic_fingerprint": "sha256:f7e347df89d601cb5520e3133569912631e65ad62598512010d45d791215ebc0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002509", "prompt": "Calculate: -5455 / 9310", "solution_steps": ["Divide: -5455 / 9310 = -1091/1862"], "final_answer": "-1091/1862", "answer_type": "rational", "kind": "expression", "math_text": "-5455 / 9310", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5455, \"b\": 9310}", "seed": "2196879863815865269", "semantic_fingerprint": "sha256:52f30b5fe0d1f7a10f97977f8c3ee44bb92ddbe997f70cf40e267e3ab1cd083d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002510", "prompt": "Solve for x: 16(x + 12750) - 2784 = -38(x - 6280)", "solution_steps": ["Expand: 16x + 204000 - 2784 = -38(x - 6280)", "Expand: 16x + 204000 - 2784 = -38x + 238640", "Combine constants: 16x + 201216 = -38x + 238640", "Add 38x to both sides: 54x + 201216 = 238640", "Subtract 201216 from both sides: 54x = 37424", "Divide both sides by 54: x = 18712/27"], "final_answer": "18712/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 12750) - 2784 = -38(x - 6280)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 12750, \"c\": 2784, \"d\": -38, \"e\": 6280}", "seed": "11791457015645222573", "semantic_fingerprint": "sha256:246dbb0df0123c23a5f604407a5c646678d63b907d23a5fe2ce9ae61b5acf4a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002511", "prompt": "Calculate: -44051 / 3317 - 11907", "solution_steps": ["Divide: -44051 / 3317 = -1421/107", "Subtract: -1421/107 - 11907 = -1275470/107"], "final_answer": "-1275470/107", "answer_type": "rational", "kind": "expression", "math_text": "-44051 / 3317 - 11907", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44051, \"b\": 3317, \"c\": 11907}", "seed": "8283042686165985639", "semantic_fingerprint": "sha256:e9ab20b0f4d16fece0834f4b9b6324f818b760ef3fb67bd0289335f11ca85679", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002512", "prompt": "Calculate: (24280 - 2925) * (64059 - (-5167) - (-2363))", "solution_steps": ["Subtract: 24280 - 2925 = 21355", "Subtract: 64059 - (-5167) = 69226", "Subtract: 69226 - (-2363) = 71589", "Multiply: 21355 * 71589 = 1528783095"], "final_answer": "1528783095", "answer_type": "integer", "kind": "expression", "math_text": "(24280 - 2925) * (64059 - (-5167) - (-2363))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24280, \"b\": 2925, \"c\": 64059, \"d\": -5167, \"e\": -2363}", "seed": "5168989331988641309", "semantic_fingerprint": "sha256:03d6421f205a79f6ac4b4920b3687168e981526bcafb11ac73330f61f599687a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002513", "prompt": "Solve the equation x + 7979 = 14(x - 6927) - 3699 for x.", "solution_steps": ["Expand: x + 7979 = 14x - 96978 - 3699", "Combine constants: x + 7979 = 14x - 100677", "Subtract 14x from both sides: -13x + 7979 = -100677", "Subtract 7979 from both sides: -13x = -108656", "Divide both sides by -13: x = 108656/13"], "final_answer": "108656/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7979 = 14(x - 6927) - 3699", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7979, \"b\": 14, \"c\": 6927, \"d\": 3699}", "seed": "6856182430224887585", "semantic_fingerprint": "sha256:b6add9253d1ee39c7c17d4fd2d229055064a177ce61d0da87bc44fd5e2c04ce5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002514", "prompt": "Evaluate: -49440 / 3434 - (-6687)", "solution_steps": ["Divide: -49440 / 3434 = -24720/1717", "Subtract: -24720/1717 - (-6687) = 11456859/1717"], "final_answer": "11456859/1717", "answer_type": "rational", "kind": "expression", "math_text": "-49440 / 3434 - (-6687)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49440, \"b\": 3434, \"c\": -6687}", "seed": "11346803225975363138", "semantic_fingerprint": "sha256:7f6d1f081f54fff803af7368051acdf4ef784864dd615330862629d0992038c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002515", "prompt": "Calculate: -60506 - (-68084) / 6100", "solution_steps": ["Divide: -68084 / 6100 = -17021/1525", "Subtract: -60506 - (-17021/1525) = -92254629/1525"], "final_answer": "-92254629/1525", "answer_type": "rational", "kind": "expression", "math_text": "-60506 - (-68084) / 6100", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60506, \"b\": -68084, \"c\": 6100}", "seed": "17915166399888054422", "semantic_fingerprint": "sha256:dec1666f8cabd3f9403e42ddc453c6edb596ebd529771711dca4c593337e5041", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002516", "prompt": "Calculate: 71093 * (-2566 + 6625 - 34272)", "solution_steps": ["Add: -2566 + 6625 = 4059", "Subtract: 4059 - 34272 = -30213", "Multiply: 71093 * (-30213) = -2147932809"], "final_answer": "-2147932809", "answer_type": "integer", "kind": "expression", "math_text": "71093 * (-2566 + 6625 - 34272)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71093, \"b\": -2566, \"c\": 6625, \"d\": 34272}", "seed": "13872065161539432060", "semantic_fingerprint": "sha256:df64eb14300b1152636255e6176fd6f90440734da54eb912ae1f727aecac6803", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002517", "prompt": "What value of x satisfies 23x + 28368 = -31(x - 1788) - 23496?", "solution_steps": ["Expand: 23x + 28368 = -31x + 55428 - 23496", "Combine constants: 23x + 28368 = -31x + 31932", "Add 31x to both sides: 54x + 28368 = 31932", "Subtract 28368 from both sides: 54x = 3564", "Divide both sides by 54: x = 66"], "final_answer": "66", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 28368 = -31(x - 1788) - 23496", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 28368, \"c\": -31, \"d\": 1788, \"f\": -23496, \"x\": 66}", "seed": "7947727632616112108", "semantic_fingerprint": "sha256:ba73d254bc6cb14a38ec275752e45246ae573464f0fd35bf861ea2731a24dfc9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002518", "prompt": "Calculate: -2780 + (-9130 + (-4382) / (-40818))", "solution_steps": ["Divide: -4382 / (-40818) = 2191/20409", "Add: -9130 + 2191/20409 = -186331979/20409", "Add: -2780 + (-186331979/20409) = -243068999/20409"], "final_answer": "-243068999/20409", "answer_type": "rational", "kind": "expression", "math_text": "-2780 + (-9130 + (-4382) / (-40818))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2780, \"b\": -9130, \"c\": -4382, \"d\": -40818}", "seed": "3950165332501675786", "semantic_fingerprint": "sha256:37173b33281febff2065d3cab6089cd9a2a62025ef7f8d30c6784f6c2828e239", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002519", "prompt": "Find x: 35(x - 38471) - 10548 = -14x - 22567", "solution_steps": ["Expand: 35x - 1346485 - 10548 = -14x - 22567", "Combine constants: 35x - 1357033 = -14x - 22567", "Add 14x to both sides: 49x - 1357033 = -22567", "Add 1357033 to both sides: 49x = 1334466", "Divide both sides by 49: x = 27234"], "final_answer": "27234", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x - 38471) - 10548 = -14x - 22567", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 38471, \"c\": 10548, \"d\": -14, \"e\": 22567}", "seed": "14133194454499215813", "semantic_fingerprint": "sha256:f02e186cf7c9afc24ffb4927f876cefc811fc5e14dbd2ae7c54d668b507c7c0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002520", "prompt": "Solve for x: 20(x + 2425) = 37082", "solution_steps": ["Expand: 20x + 48500 = 37082", "Subtract 48500 from both sides: 20x = -11418", "Divide both sides by 20: x = -5709/10"], "final_answer": "-5709/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 2425) = 37082", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 2425, \"c\": 37082}", "seed": "4906124379119390211", "semantic_fingerprint": "sha256:287738703671db5f89ccb9cd8d08e794001e86903a90d7cba514de4a9f1da68b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002521", "prompt": "Compute: -4069 - (9936 + (93993 + (-78570)))", "solution_steps": ["Add: 93993 + (-78570) = 15423", "Add: 9936 + 15423 = 25359", "Subtract: -4069 - 25359 = -29428"], "final_answer": "-29428", "answer_type": "integer", "kind": "expression", "math_text": "-4069 - (9936 + (93993 + (-78570)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4069, \"b\": 9936, \"c\": 93993, \"d\": -78570}", "seed": "17007988622967522264", "semantic_fingerprint": "sha256:94208516179fca82f7bd8ff0bc80eb20b6f51ec062ea80becd3fea4809985166", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002522", "prompt": "What value of x satisfies 28x = -3136?", "solution_steps": ["Divide both sides by 28: x = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = -3136", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": -3136}", "seed": "13463524176235459194", "semantic_fingerprint": "sha256:7a19b17441e8898f3fa5a4cd655222f8c30cdee2d028dac3da4b7dfc95c4de2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002523", "prompt": "Solve the equation 16x - 76062 = 29(x - 5256) + 78403 for x.", "solution_steps": ["Expand: 16x - 76062 = 29x - 152424 + 78403", "Combine constants: 16x - 76062 = 29x - 74021", "Subtract 29x from both sides: -13x - 76062 = -74021", "Add 76062 to both sides: -13x = 2041", "Divide both sides by -13: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x - 76062 = 29(x - 5256) + 78403", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 76062, \"c\": 29, \"d\": 5256, \"f\": 78403, \"x\": -157}", "seed": "14277975126474417795", "semantic_fingerprint": "sha256:6e5324b63f89cbbd08ae46f78c5dad4d07c3b1dbcfd32619fa5374ab74eebc73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002524", "prompt": "Compute: 96252 + 8152 * (-28436)", "solution_steps": ["Multiply: 8152 * (-28436) = -231810272", "Add: 96252 + (-231810272) = -231714020"], "final_answer": "-231714020", "answer_type": "integer", "kind": "expression", "math_text": "96252 + 8152 * (-28436)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96252, \"b\": 8152, \"c\": -28436}", "seed": "7205676792547388951", "semantic_fingerprint": "sha256:c246f2f4f9af62684765c3d693bc94a1459ede13d7f782aec1ed303944f34c1b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002525", "prompt": "What is -22599 * (-41563) / 7333 + (-9413) * 9398?", "solution_steps": ["Multiply: -22599 * (-41563) = 939282237", "Divide: 939282237 / 7333 = 939282237/7333", "Multiply: -9413 * 9398 = -88463374", "Add: 939282237/7333 + (-88463374) = -647762639305/7333"], "final_answer": "-647762639305/7333", "answer_type": "rational", "kind": "expression", "math_text": "-22599 * (-41563) / 7333 + (-9413) * 9398", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22599, \"b\": -41563, \"c\": 7333, \"d\": -9413, \"e\": 9398}", "seed": "6676971255323425939", "semantic_fingerprint": "sha256:81588da8ca32fcb06a1f4b4f1b124be8a5b3cf16a5f0e20d4e9a939b823a862a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002526", "prompt": "Evaluate: 2166 * (-6206) / (-6381) - (-9645)", "solution_steps": ["Multiply: 2166 * (-6206) = -13442196", "Divide: -13442196 / (-6381) = 4480732/2127", "Subtract: 4480732/2127 - (-9645) = 24995647/2127"], "final_answer": "24995647/2127", "answer_type": "rational", "kind": "expression", "math_text": "2166 * (-6206) / (-6381) - (-9645)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2166, \"b\": -6206, \"c\": -6381, \"d\": -9645}", "seed": "13377217998373968864", "semantic_fingerprint": "sha256:e477aec3b48dffb5c14bc4b129bb95b47c99b1232eb636a1d8204c67062a1e8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002527", "prompt": "Calculate: -57035 - (7427 - 7635) + (2722 - (-8364 - 2001))", "solution_steps": ["Subtract: 7427 - 7635 = -208", "Subtract: -57035 - (-208) = -56827", "Subtract: -8364 - 2001 = -10365", "Subtract: 2722 - (-10365) = 13087", "Add: -56827 + 13087 = -43740"], "final_answer": "-43740", "answer_type": "integer", "kind": "expression", "math_text": "-57035 - (7427 - 7635) + (2722 - (-8364 - 2001))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -57035, \"b\": 7427, \"c\": 7635, \"d\": 2722, \"e\": -8364, \"f\": 2001}", "seed": "8911281662520325204", "semantic_fingerprint": "sha256:06ea27deae7d22444a9d5a46dcfd55cbad33adc74bfed1d8367cb0ff4421268c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002528", "prompt": "Compute: 1437 * 98538", "solution_steps": ["Multiply: 1437 * 98538 = 141599106"], "final_answer": "141599106", "answer_type": "integer", "kind": "expression", "math_text": "1437 * 98538", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1437, \"b\": 98538}", "seed": "17848049987814282058", "semantic_fingerprint": "sha256:e4c73568677da8acca4e69b2f8fdd03c2174814a88c01c941c3a72a81d2acffe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002529", "prompt": "Evaluate: 41678 * 2439 + (-8245)", "solution_steps": ["Multiply: 41678 * 2439 = 101652642", "Add: 101652642 + (-8245) = 101644397"], "final_answer": "101644397", "answer_type": "integer", "kind": "expression", "math_text": "41678 * 2439 + (-8245)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41678, \"b\": 2439, \"c\": -8245}", "seed": "9390678192825093842", "semantic_fingerprint": "sha256:f35b8f25b733903db8489f8abdd5fcba5e137804b182fbdfbd67534fe916257f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002530", "prompt": "What value of x satisfies x = -39(x - 4201)?", "solution_steps": ["Expand: x = -39x + 163839", "Add 39x to both sides: 40x = 163839", "Divide both sides by 40: x = 163839/40"], "final_answer": "163839/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -39(x - 4201)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 4201}", "seed": "15908198121531064638", "semantic_fingerprint": "sha256:ed5cee1f82630319ede9a3ebaa156b1ae1da6e64b391f53557ae52ddf3ff722e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002531", "prompt": "What is -3659 / (-6184) + (-8783 - (-5365) + (-7624))?", "solution_steps": ["Divide: -3659 / (-6184) = 3659/6184", "Subtract: -8783 - (-5365) = -3418", "Add: -3418 + (-7624) = -11042", "Add: 3659/6184 + (-11042) = -68280069/6184"], "final_answer": "-68280069/6184", "answer_type": "rational", "kind": "expression", "math_text": "-3659 / (-6184) + (-8783 - (-5365) + (-7624))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3659, \"b\": -6184, \"c\": -8783, \"d\": -5365, \"e\": -7624}", "seed": "2944423361667222871", "semantic_fingerprint": "sha256:36f44db0f1ba7637d51db61a4aff57ca9de91ff5ec578231db7b53ade5701ca3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002532", "prompt": "What value of x satisfies x - 7501 = -36(x + 1709)?", "solution_steps": ["Expand: x - 7501 = -36x - 61524", "Add 36x to both sides: 37x - 7501 = -61524", "Add 7501 to both sides: 37x = -54023", "Divide both sides by 37: x = -54023/37"], "final_answer": "-54023/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7501 = -36(x + 1709)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7501, \"b\": -36, \"c\": 1709}", "seed": "10090471025262901116", "semantic_fingerprint": "sha256:ab9f79a1d3d312c6659928b894a0cff15395f64acd4846eff9887e58cfe1e7de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002533", "prompt": "Evaluate: (5328 - (-9843)) * (-50725 + (6756 + (-2850) - (-9642)))", "solution_steps": ["Subtract: 5328 - (-9843) = 15171", "Add: 6756 + (-2850) = 3906", "Subtract: 3906 - (-9642) = 13548", "Add: -50725 + 13548 = -37177", "Multiply: 15171 * (-37177) = -564012267"], "final_answer": "-564012267", "answer_type": "integer", "kind": "expression", "math_text": "(5328 - (-9843)) * (-50725 + (6756 + (-2850) - (-9642)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ n (- (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5328, \"b\": -9843, \"c\": -50725, \"d\": 6756, \"e\": -2850, \"f\": -9642}", "seed": "17882225649456381477", "semantic_fingerprint": "sha256:dd9543b20a5e55ada8b45ffc0e7234caed2f9623196edab69d806ba64e914a86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002534", "prompt": "Calculate: -22313 - (-88201 + (-1431 * (-8927 + 7587) + (-30152)))", "solution_steps": ["Add: -8927 + 7587 = -1340", "Multiply: -1431 * (-1340) = 1917540", "Add: 1917540 + (-30152) = 1887388", "Add: -88201 + 1887388 = 1799187", "Subtract: -22313 - 1799187 = -1821500"], "final_answer": "-1821500", "answer_type": "integer", "kind": "expression", "math_text": "-22313 - (-88201 + (-1431 * (-8927 + 7587) + (-30152)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (+ (* n (+ n n)) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22313, \"b\": -88201, \"c\": -1431, \"d\": -8927, \"e\": 7587, \"f\": -30152}", "seed": "7514212391465007780", "semantic_fingerprint": "sha256:61b96d6b04e1dc9fa35f71a3576bbe44a23dc95af6608f031894263f186613a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002535", "prompt": "Compute: -9188 + (-58766 - (-8810) - (-8185) / 9173)", "solution_steps": ["Subtract: -58766 - (-8810) = -49956", "Divide: -8185 / 9173 = -8185/9173", "Subtract: -49956 - (-8185/9173) = -458238203/9173", "Add: -9188 + (-458238203/9173) = -542519727/9173"], "final_answer": "-542519727/9173", "answer_type": "rational", "kind": "expression", "math_text": "-9188 + (-58766 - (-8810) - (-8185) / 9173)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9188, \"b\": -58766, \"c\": -8810, \"d\": -8185, \"e\": 9173}", "seed": "908003411237141024", "semantic_fingerprint": "sha256:6ea01188c499039134bbb57483b0abe55fcd0e8d50ad6e440999e253de552223", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002536", "prompt": "Evaluate: -1528 + (-63334 + 30291)", "solution_steps": ["Add: -63334 + 30291 = -33043", "Add: -1528 + (-33043) = -34571"], "final_answer": "-34571", "answer_type": "integer", "kind": "expression", "math_text": "-1528 + (-63334 + 30291)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1528, \"b\": -63334, \"c\": 30291}", "seed": "1526933325648025124", "semantic_fingerprint": "sha256:a1f10b60e3a109c1c88b9712b4eadcc7a2d8ae3d221058cd027a7c3cd0e428f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002537", "prompt": "Solve for x: 30(x + 2568) = 22x", "solution_steps": ["Expand: 30x + 77040 = 22x", "Subtract 22x from both sides: 8x + 77040 = 0", "Subtract 77040 from both sides: 8x = -77040", "Divide both sides by 8: x = -9630"], "final_answer": "-9630", "answer_type": "integer", "kind": "linear_equation", "math_text": "30(x + 2568) = 22x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 2568, \"c\": 22}", "seed": "2595885593707897526", "semantic_fingerprint": "sha256:9b0e04b4821a13bc4281fb2997a1eb16b338ebc3083ef4baf1972b78d49c5232", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002538", "prompt": "What is 40127 + (-1382 - 30611 + (-47078))?", "solution_steps": ["Subtract: -1382 - 30611 = -31993", "Add: -31993 + (-47078) = -79071", "Add: 40127 + (-79071) = -38944"], "final_answer": "-38944", "answer_type": "integer", "kind": "expression", "math_text": "40127 + (-1382 - 30611 + (-47078))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40127, \"b\": -1382, \"c\": 30611, \"d\": -47078}", "seed": "6101402537700701844", "semantic_fingerprint": "sha256:41a90ae13aee2994d6a4f789f226f232820a0802db65f26258ba7a758d762800", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002539", "prompt": "Solve for x: 25x + 3698 = -18x", "solution_steps": ["Add 18x to both sides: 43x + 3698 = 0", "Subtract 3698 from both sides: 43x = -3698", "Divide both sides by 43: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 3698 = -18x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": -18, \"d\": 3698, \"x\": -86}", "seed": "11092163198795550563", "semantic_fingerprint": "sha256:de51679b690729b4ab78edfc207b2b6c562757b534773f09ecd3eb2e98c516f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002540", "prompt": "Evaluate: 62907 * (-9743)", "solution_steps": ["Multiply: 62907 * (-9743) = -612902901"], "final_answer": "-612902901", "answer_type": "integer", "kind": "expression", "math_text": "62907 * (-9743)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 62907, \"b\": -9743}", "seed": "7541776463136429105", "semantic_fingerprint": "sha256:8da11628296fdeb9c2ef7239c34e7ce12160605261e9471478ac6896b13cf3cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002541", "prompt": "Evaluate: 7076 / (-10294 + 5966)", "solution_steps": ["Add: -10294 + 5966 = -4328", "Divide: 7076 / (-4328) = -1769/1082"], "final_answer": "-1769/1082", "answer_type": "rational", "kind": "expression", "math_text": "7076 / (-10294 + 5966)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7076, \"b\": -10294, \"c\": 5966}", "seed": "5570971413250223898", "semantic_fingerprint": "sha256:66e87a97ad2c1adde303645fbb246be348c8e9df9f66c42f8c70c29de33e98a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002542", "prompt": "Evaluate: 5062 / (-9488 + 9824)", "solution_steps": ["Add: -9488 + 9824 = 336", "Divide: 5062 / 336 = 2531/168"], "final_answer": "2531/168", "answer_type": "rational", "kind": "expression", "math_text": "5062 / (-9488 + 9824)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5062, \"b\": -9488, \"c\": 9824}", "seed": "6000008324052168043", "semantic_fingerprint": "sha256:3151dbec07b86a56895b0703a6cbc537496d718e8a2f32832729123ecf170f56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002543", "prompt": "Find x: 31x + 7650 = -33x", "solution_steps": ["Add 33x to both sides: 64x + 7650 = 0", "Subtract 7650 from both sides: 64x = -7650", "Divide both sides by 64: x = -3825/32"], "final_answer": "-3825/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x + 7650 = -33x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 7650, \"c\": -33}", "seed": "7995464834300844904", "semantic_fingerprint": "sha256:494d3d7fd7170f82e7ea18d927c2d2c264308cfc85d491175e37e7bc45ffe418", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002544", "prompt": "Evaluate: 7103 + (-8247) / (-98226)", "solution_steps": ["Divide: -8247 / (-98226) = 2749/32742", "Add: 7103 + 2749/32742 = 232569175/32742"], "final_answer": "232569175/32742", "answer_type": "rational", "kind": "expression", "math_text": "7103 + (-8247) / (-98226)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7103, \"b\": -8247, \"c\": -98226}", "seed": "17422617827132640440", "semantic_fingerprint": "sha256:cef64f858619fa317930c0842ea24c7c3b143c7b36c78fc316551b0131888367", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002545", "prompt": "Calculate: -85381 + 97479 + (-73555)", "solution_steps": ["Add: -85381 + 97479 = 12098", "Add: 12098 + (-73555) = -61457"], "final_answer": "-61457", "answer_type": "integer", "kind": "expression", "math_text": "-85381 + 97479 + (-73555)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -85381, \"b\": 97479, \"c\": -73555}", "seed": "13429351094720841189", "semantic_fingerprint": "sha256:6cf38f86edc2cbee59353dc6d88393680c3df398d5317313234e45ba6b9d145e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002546", "prompt": "What value of x satisfies x = 24x - 1518?", "solution_steps": ["Subtract 24x from both sides: -23x = -1518", "Divide both sides by -23: x = 66"], "final_answer": "66", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 24x - 1518", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": -1518, \"x\": 66}", "seed": "13287279354262997810", "semantic_fingerprint": "sha256:c404b51f5f2fb9998c16cfba88288c39bc941c0f6e973174d7e2e1c7a982da31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002547", "prompt": "Compute: -77257 + 5828 - 5603", "solution_steps": ["Add: -77257 + 5828 = -71429", "Subtract: -71429 - 5603 = -77032"], "final_answer": "-77032", "answer_type": "integer", "kind": "expression", "math_text": "-77257 + 5828 - 5603", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77257, \"b\": 5828, \"c\": 5603}", "seed": "1675876285873854157", "semantic_fingerprint": "sha256:3e244e71e2a2081e5c2b0bcfee7bf95097247f27cfb4031641e3dc37460a360f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002548", "prompt": "Calculate: 9191 / (-1786) + (-4502) + 7942", "solution_steps": ["Divide: 9191 / (-1786) = -9191/1786", "Add: -9191/1786 + (-4502) = -8049763/1786", "Add: -8049763/1786 + 7942 = 6134649/1786"], "final_answer": "6134649/1786", "answer_type": "rational", "kind": "expression", "math_text": "9191 / (-1786) + (-4502) + 7942", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9191, \"b\": -1786, \"c\": -4502, \"d\": 7942}", "seed": "16569200650391485783", "semantic_fingerprint": "sha256:679de6b0d1245482137752377aa407c99a5779aba342a895720b466c17c5c230", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002549", "prompt": "Calculate: (9013 - (-1162)) * (-85385 + 51342) + 9240", "solution_steps": ["Subtract: 9013 - (-1162) = 10175", "Add: -85385 + 51342 = -34043", "Multiply: 10175 * (-34043) = -346387525", "Add: -346387525 + 9240 = -346378285"], "final_answer": "-346378285", "answer_type": "integer", "kind": "expression", "math_text": "(9013 - (-1162)) * (-85385 + 51342) + 9240", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9013, \"b\": -1162, \"c\": -85385, \"d\": 51342, \"e\": 9240}", "seed": "6458649503887809817", "semantic_fingerprint": "sha256:afb21477516e92a8dbdf3846c7e9bcd6e3c401060c23107cd863942dc85f796b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002550", "prompt": "Calculate: 7623 / 36171", "solution_steps": ["Divide: 7623 / 36171 = 847/4019"], "final_answer": "847/4019", "answer_type": "rational", "kind": "expression", "math_text": "7623 / 36171", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7623, \"b\": 36171}", "seed": "8308008678209919988", "semantic_fingerprint": "sha256:34697ff0057a99ffe015e736a5e191a0dd706be8b9b69852ee0c8772330e1f82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002551", "prompt": "Compute: 83734 / 21586", "solution_steps": ["Divide: 83734 / 21586 = 41867/10793"], "final_answer": "41867/10793", "answer_type": "rational", "kind": "expression", "math_text": "83734 / 21586", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83734, \"b\": 21586}", "seed": "872785690119805070", "semantic_fingerprint": "sha256:944579667f1955d679dd9e4439f15122faeab4a4c1df1be99b48139d19a4683a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002552", "prompt": "Solve for x: -18x = 33x + 5312", "solution_steps": ["Subtract 33x from both sides: -51x = 5312", "Divide both sides by -51: x = -5312/51"], "final_answer": "-5312/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x = 33x + 5312", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 33, \"c\": 5312}", "seed": "14245012468438274082", "semantic_fingerprint": "sha256:39713ba462d572762d042a590cb8e6e0ed994d9575eb480027748762fa6ca74e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002553", "prompt": "Compute: -61967 - (-7762 - 15990 / (-54814))", "solution_steps": ["Divide: 15990 / (-54814) = -7995/27407", "Subtract: -7762 - (-7995/27407) = -212725139/27407", "Subtract: -61967 - (-212725139/27407) = -1485604430/27407"], "final_answer": "-1485604430/27407", "answer_type": "rational", "kind": "expression", "math_text": "-61967 - (-7762 - 15990 / (-54814))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -61967, \"b\": -7762, \"c\": 15990, \"d\": -54814}", "seed": "11440414947729541954", "semantic_fingerprint": "sha256:403e0da27451242a2b63219f1ba71c6db6a21e166cd7cbcc1759a1220deb47b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002554", "prompt": "What value of x satisfies x = 16(x + 78709) - 98072?", "solution_steps": ["Expand: x = 16x + 1259344 - 98072", "Combine constants: x = 16x + 1161272", "Subtract 16x from both sides: -15x = 1161272", "Divide both sides by -15: x = -1161272/15"], "final_answer": "-1161272/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 16(x + 78709) - 98072", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 78709, \"c\": 98072}", "seed": "16489989410414903780", "semantic_fingerprint": "sha256:cf18c1bcc4aba2ce9cb3e22ccf1e40e4d857744520343b55fac5a2a97b1d7dee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002555", "prompt": "Calculate: -46279 + (-8156 + (-58010) + (-7770))", "solution_steps": ["Add: -8156 + (-58010) = -66166", "Add: -66166 + (-7770) = -73936", "Add: -46279 + (-73936) = -120215"], "final_answer": "-120215", "answer_type": "integer", "kind": "expression", "math_text": "-46279 + (-8156 + (-58010) + (-7770))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -46279, \"b\": -8156, \"c\": -58010, \"d\": -7770}", "seed": "14186285253479818030", "semantic_fingerprint": "sha256:6d8a9a57bf550168a7be652660db29eb2241f7300fb1da883ba575fcb8f0eca3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002556", "prompt": "Solve for x: 35x = -19x + 9072", "solution_steps": ["Add 19x to both sides: 54x = 9072", "Divide both sides by 54: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x = -19x + 9072", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": -19, \"d\": 9072, \"x\": 168}", "seed": "8720162628590678493", "semantic_fingerprint": "sha256:db868143132f520e6b102e543b17ac315b62c71afc24d1cb7eab60731331e46a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002557", "prompt": "Solve for x: 24x - 14263 = 26(x - 2430) + 49005", "solution_steps": ["Expand: 24x - 14263 = 26x - 63180 + 49005", "Combine constants: 24x - 14263 = 26x - 14175", "Subtract 26x from both sides: -2x - 14263 = -14175", "Add 14263 to both sides: -2x = 88", "Divide both sides by -2: x = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 14263 = 26(x - 2430) + 49005", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 14263, \"c\": 26, \"d\": 2430, \"f\": 49005, \"x\": -44}", "seed": "11435868677786233728", "semantic_fingerprint": "sha256:c373750713f7ec15a83bfa888e960883ff6453e23c64d835740eabe3ca7f0c49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002558", "prompt": "What is -60061 + 97556 / 6152?", "solution_steps": ["Divide: 97556 / 6152 = 24389/1538", "Add: -60061 + 24389/1538 = -92349429/1538"], "final_answer": "-92349429/1538", "answer_type": "rational", "kind": "expression", "math_text": "-60061 + 97556 / 6152", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60061, \"b\": 97556, \"c\": 6152}", "seed": "2341853068166147531", "semantic_fingerprint": "sha256:1786f7fb241b49f416dc4c7d7b67e3ed6470ad211f6dc088793bbad4a9d8a433", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002559", "prompt": "What is 1938 * (-2132) + (-1663 + 4104 * (-5447))?", "solution_steps": ["Multiply: 1938 * (-2132) = -4131816", "Multiply: 4104 * (-5447) = -22354488", "Add: -1663 + (-22354488) = -22356151", "Add: -4131816 + (-22356151) = -26487967"], "final_answer": "-26487967", "answer_type": "integer", "kind": "expression", "math_text": "1938 * (-2132) + (-1663 + 4104 * (-5447))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1938, \"b\": -2132, \"c\": -1663, \"d\": 4104, \"e\": -5447}", "seed": "4142796720752020468", "semantic_fingerprint": "sha256:baae07f924ecc04f3d9cf186ba3a0299330e9f0547733a74e82559d2609e28e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002560", "prompt": "What is -4804 * (-2373 * 24071)?", "solution_steps": ["Multiply: -2373 * 24071 = -57120483", "Multiply: -4804 * (-57120483) = 274406800332"], "final_answer": "274406800332", "answer_type": "integer", "kind": "expression", "math_text": "-4804 * (-2373 * 24071)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4804, \"b\": -2373, \"c\": 24071}", "seed": "14180616651662816961", "semantic_fingerprint": "sha256:d0b57418d0e86394fe4fa163394477ea21115e0ce912107923a227e866b9d1eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002561", "prompt": "Compute: -23502 - (-5833) - (-6949)", "solution_steps": ["Subtract: -23502 - (-5833) = -17669", "Subtract: -17669 - (-6949) = -10720"], "final_answer": "-10720", "answer_type": "integer", "kind": "expression", "math_text": "-23502 - (-5833) - (-6949)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23502, \"b\": -5833, \"c\": -6949}", "seed": "2792017762453149077", "semantic_fingerprint": "sha256:ca7b37bcf6f442bd4cc94565315ec6eb643f954d0ed32150f3a177aab171e6c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002562", "prompt": "Evaluate: (45617 + (-6698) - 4644 * (-3939) + 8725) / 29300", "solution_steps": ["Add: 45617 + (-6698) = 38919", "Multiply: 4644 * (-3939) = -18292716", "Subtract: 38919 - (-18292716) = 18331635", "Add: 18331635 + 8725 = 18340360", "Divide: 18340360 / 29300 = 917018/1465"], "final_answer": "917018/1465", "answer_type": "rational", "kind": "expression", "math_text": "(45617 + (-6698) - 4644 * (-3939) + 8725) / 29300", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (+ n n) (* n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 45617, \"b\": -6698, \"c\": 4644, \"d\": -3939, \"e\": 8725, \"f\": 29300}", "seed": "1187080823126422102", "semantic_fingerprint": "sha256:2c8ad2eb3d8eb46680d2c132cc2dad6ed4798f3ef18c3b41667c92016614422e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002563", "prompt": "Evaluate: -4249 + 8704 * (-4580) + 4268", "solution_steps": ["Multiply: 8704 * (-4580) = -39864320", "Add: -4249 + (-39864320) = -39868569", "Add: -39868569 + 4268 = -39864301"], "final_answer": "-39864301", "answer_type": "integer", "kind": "expression", "math_text": "-4249 + 8704 * (-4580) + 4268", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4249, \"b\": 8704, \"c\": -4580, \"d\": 4268}", "seed": "18141008296066504763", "semantic_fingerprint": "sha256:3cd75f32a15d7ec79078aeb23d764ef776fb3fa9df0fae739ce98d0aee959e29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002564", "prompt": "What is (7182 - (-99884 - 94378)) * (91382 / (-1428))?", "solution_steps": ["Subtract: -99884 - 94378 = -194262", "Subtract: 7182 - (-194262) = 201444", "Divide: 91382 / (-1428) = -45691/714", "Multiply: 201444 * (-45691/714) = -1534029634/119"], "final_answer": "-1534029634/119", "answer_type": "rational", "kind": "expression", "math_text": "(7182 - (-99884 - 94378)) * (91382 / (-1428))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7182, \"b\": -99884, \"c\": 94378, \"d\": 91382, \"e\": -1428}", "seed": "12328511197617987525", "semantic_fingerprint": "sha256:c381c61bcd789fc22a5d13457f9d0ef3a4a9b79840f9eb34b8b260965730627a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002565", "prompt": "What is 67653 + (4786 - 8870)?", "solution_steps": ["Subtract: 4786 - 8870 = -4084", "Add: 67653 + (-4084) = 63569"], "final_answer": "63569", "answer_type": "integer", "kind": "expression", "math_text": "67653 + (4786 - 8870)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 67653, \"b\": 4786, \"c\": 8870}", "seed": "15241535542412376680", "semantic_fingerprint": "sha256:01808ea208918dd1331da967ae064986ed8337cf935ffe555754680737208db2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002566", "prompt": "What value of x satisfies -19(x + 45022) = -35x?", "solution_steps": ["Expand: -19x - 855418 = -35x", "Add 35x to both sides: 16x - 855418 = 0", "Add 855418 to both sides: 16x = 855418", "Divide both sides by 16: x = 427709/8"], "final_answer": "427709/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 45022) = -35x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 45022, \"c\": -35}", "seed": "2861736752575541059", "semantic_fingerprint": "sha256:4d459e2c064b8827e449fd1f414926ef2128bfc7d2ee068ab8a0aafb64b9bfb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002567", "prompt": "Solve the equation -13(x + 44525) + 5671 = 34(x + 66077) for x.", "solution_steps": ["Expand: -13x - 578825 + 5671 = 34(x + 66077)", "Expand: -13x - 578825 + 5671 = 34x + 2246618", "Combine constants: -13x - 573154 = 34x + 2246618", "Subtract 34x from both sides: -47x - 573154 = 2246618", "Add 573154 to both sides: -47x = 2819772", "Divide both sides by -47: x = -2819772/47"], "final_answer": "-2819772/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 44525) + 5671 = 34(x + 66077)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 44525, \"c\": 5671, \"d\": 34, \"e\": 66077}", "seed": "10982873739386366773", "semantic_fingerprint": "sha256:2d7852895638f2a70c1d0b32fa012adbd2df242249f936724aa075f3b1d218e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002568", "prompt": "Find x: 31x + 2053 = 16(x + 1959) - 28076", "solution_steps": ["Expand: 31x + 2053 = 16x + 31344 - 28076", "Combine constants: 31x + 2053 = 16x + 3268", "Subtract 16x from both sides: 15x + 2053 = 3268", "Subtract 2053 from both sides: 15x = 1215", "Divide both sides by 15: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 2053 = 16(x + 1959) - 28076", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2053, \"c\": 16, \"d\": 1959, \"f\": -28076, \"x\": 81}", "seed": "13592787563355845796", "semantic_fingerprint": "sha256:7649a08a4340f33d6b6736f5548e3c3e60db5ebd51efd36bd42c6cd8916c5544", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002569", "prompt": "Calculate: 8306 * (-2049 / (-2956 + 46986))", "solution_steps": ["Add: -2956 + 46986 = 44030", "Divide: -2049 / 44030 = -2049/44030", "Multiply: 8306 * (-2049/44030) = -8509497/22015"], "final_answer": "-8509497/22015", "answer_type": "rational", "kind": "expression", "math_text": "8306 * (-2049 / (-2956 + 46986))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8306, \"b\": -2049, \"c\": -2956, \"d\": 46986}", "seed": "10773943769543448116", "semantic_fingerprint": "sha256:8f2323ed7f115bc5417c82d1acedc1529a4c0c0e55da0c743b20b612eed60252", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002570", "prompt": "Compute: (7180 + (-2959)) / (-5314)", "solution_steps": ["Add: 7180 + (-2959) = 4221", "Divide: 4221 / (-5314) = -4221/5314"], "final_answer": "-4221/5314", "answer_type": "rational", "kind": "expression", "math_text": "(7180 + (-2959)) / (-5314)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7180, \"b\": -2959, \"c\": -5314}", "seed": "9293631975988277953", "semantic_fingerprint": "sha256:79825f427f60f6921e5d93dc72e13a2242c3f515922c848bb1b7e96cbbad5d77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002571", "prompt": "Solve for x: 31x + 7840 = -39x", "solution_steps": ["Add 39x to both sides: 70x + 7840 = 0", "Subtract 7840 from both sides: 70x = -7840", "Divide both sides by 70: x = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 7840 = -39x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": -39, \"d\": 7840, \"x\": -112}", "seed": "742163204262287918", "semantic_fingerprint": "sha256:d8ec358c2d0f2ad6a962aacd34dbbc740dbdaef5c60520c4d2bd24f960cdf35a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002572", "prompt": "Calculate: -70272 * (-29695 - (4392 - (-3131)))", "solution_steps": ["Subtract: 4392 - (-3131) = 7523", "Subtract: -29695 - 7523 = -37218", "Multiply: -70272 * (-37218) = 2615383296"], "final_answer": "2615383296", "answer_type": "integer", "kind": "expression", "math_text": "-70272 * (-29695 - (4392 - (-3131)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -70272, \"b\": -29695, \"c\": 4392, \"d\": -3131}", "seed": "11807653949166533665", "semantic_fingerprint": "sha256:f9de6d9ce817acaedeecc8656328c93709052e54256f8e43c841c0a82952eefc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002573", "prompt": "What is -6468 - (-24159) * (-2293)?", "solution_steps": ["Multiply: -24159 * (-2293) = 55396587", "Subtract: -6468 - 55396587 = -55403055"], "final_answer": "-55403055", "answer_type": "integer", "kind": "expression", "math_text": "-6468 - (-24159) * (-2293)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6468, \"b\": -24159, \"c\": -2293}", "seed": "16698811218552697243", "semantic_fingerprint": "sha256:134478cea838cb32a3815a6c3cb7a80d5e8552fa4fd2b61796d7bd8d3509f3c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002574", "prompt": "Solve for x: x + 5780 = 5667", "solution_steps": ["Subtract 5780 from both sides: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5780 = 5667", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5780, \"c\": 5667, \"x\": -113}", "seed": "17395253087454250456", "semantic_fingerprint": "sha256:bbf5bbd01b55047ee81ad9f50bd265822e9c6eea566fbba3a63a311dc2be650a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002575", "prompt": "Calculate: 20349 + (-8095) + 4859 + (-9168 - (-43736))", "solution_steps": ["Add: 20349 + (-8095) = 12254", "Add: 12254 + 4859 = 17113", "Subtract: -9168 - (-43736) = 34568", "Add: 17113 + 34568 = 51681"], "final_answer": "51681", "answer_type": "integer", "kind": "expression", "math_text": "20349 + (-8095) + 4859 + (-9168 - (-43736))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20349, \"b\": -8095, \"c\": 4859, \"d\": -9168, \"e\": -43736}", "seed": "7024882749412440313", "semantic_fingerprint": "sha256:4c4dc596060f08d05ed3753ddd0721271a009063a206cf3fd286248a22de12fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002576", "prompt": "Compute: 18317 + (-5961 + (-2159) / 1582)", "solution_steps": ["Divide: -2159 / 1582 = -2159/1582", "Add: -5961 + (-2159/1582) = -9432461/1582", "Add: 18317 + (-9432461/1582) = 19545033/1582"], "final_answer": "19545033/1582", "answer_type": "rational", "kind": "expression", "math_text": "18317 + (-5961 + (-2159) / 1582)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18317, \"b\": -5961, \"c\": -2159, \"d\": 1582}", "seed": "8461693584511562247", "semantic_fingerprint": "sha256:dac4cde16ee4721301ab155b0c8c04ccadd3280eb30b4789bb6ffa30ba2205b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002577", "prompt": "Compute: 9604 + (-6019 - (86950 - 67647))", "solution_steps": ["Subtract: 86950 - 67647 = 19303", "Subtract: -6019 - 19303 = -25322", "Add: 9604 + (-25322) = -15718"], "final_answer": "-15718", "answer_type": "integer", "kind": "expression", "math_text": "9604 + (-6019 - (86950 - 67647))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9604, \"b\": -6019, \"c\": 86950, \"d\": 67647}", "seed": "1514306036412329275", "semantic_fingerprint": "sha256:52494c12b8ebff0b6fa977531901a7f79e51e6ec527b2678b3207d9371ee6aee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002578", "prompt": "Find x: x - 44447 = -44603", "solution_steps": ["Add 44447 to both sides: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 44447 = -44603", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44447, \"c\": -44603, \"x\": -156}", "seed": "741995294635728013", "semantic_fingerprint": "sha256:ff235c6485d3bb2c7849cd64636d512a597bdb56db34854656ea8e3c713db344", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002579", "prompt": "Solve for x: x = 34x + 3696", "solution_steps": ["Subtract 34x from both sides: -33x = 3696", "Divide both sides by -33: x = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 34x + 3696", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"c\": 3696, \"x\": -112}", "seed": "12874242683022864200", "semantic_fingerprint": "sha256:85441d63f75f8bbd08720b533a258b2e8c095cc76e3a7c9bf6939b916ff25536", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002580", "prompt": "What is 9990 + (8438 - 6091) - (-8847)?", "solution_steps": ["Subtract: 8438 - 6091 = 2347", "Add: 9990 + 2347 = 12337", "Subtract: 12337 - (-8847) = 21184"], "final_answer": "21184", "answer_type": "integer", "kind": "expression", "math_text": "9990 + (8438 - 6091) - (-8847)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9990, \"b\": 8438, \"c\": 6091, \"d\": -8847}", "seed": "18057233755734454635", "semantic_fingerprint": "sha256:dc053b39114067adb0d29593bd61408fd0282ac8097076700bd4028b3918be45", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002581", "prompt": "What is -30424 + (3551 + 5271 + 84445)?", "solution_steps": ["Add: 3551 + 5271 = 8822", "Add: 8822 + 84445 = 93267", "Add: -30424 + 93267 = 62843"], "final_answer": "62843", "answer_type": "integer", "kind": "expression", "math_text": "-30424 + (3551 + 5271 + 84445)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30424, \"b\": 3551, \"c\": 5271, \"d\": 84445}", "seed": "1292101925857759591", "semantic_fingerprint": "sha256:fa781dad07e4dc7ab1ec9a5c84f2231c294478cc04b4510c9326dd8a2fdbb9ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002582", "prompt": "Compute: 3524 * (63870 - 6005)", "solution_steps": ["Subtract: 63870 - 6005 = 57865", "Multiply: 3524 * 57865 = 203916260"], "final_answer": "203916260", "answer_type": "integer", "kind": "expression", "math_text": "3524 * (63870 - 6005)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3524, \"b\": 63870, \"c\": 6005}", "seed": "17328658973973127321", "semantic_fingerprint": "sha256:e67157c975654505a8dbb2490474280ef8a3fcd16dafde8fd4212abd3a8ae8f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002583", "prompt": "What is -4270 + 9464 + (-11056)?", "solution_steps": ["Add: -4270 + 9464 = 5194", "Add: 5194 + (-11056) = -5862"], "final_answer": "-5862", "answer_type": "integer", "kind": "expression", "math_text": "-4270 + 9464 + (-11056)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4270, \"b\": 9464, \"c\": -11056}", "seed": "10024868206175359740", "semantic_fingerprint": "sha256:e756e8ae5d509c0220efffdd19aa26a4613ebc479408f98c1b68c1565af9464f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002584", "prompt": "Compute: (4656 + 3427) * (-2620)", "solution_steps": ["Add: 4656 + 3427 = 8083", "Multiply: 8083 * (-2620) = -21177460"], "final_answer": "-21177460", "answer_type": "integer", "kind": "expression", "math_text": "(4656 + 3427) * (-2620)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4656, \"b\": 3427, \"c\": -2620}", "seed": "12850436935438586027", "semantic_fingerprint": "sha256:a4e259a92570df4de42e3b3da02b3024e1a3c6d78f728bb2702b579e6298e9aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002585", "prompt": "Solve the equation 15x + 2494 = 28x - 62704 for x.", "solution_steps": ["Subtract 28x from both sides: -13x + 2494 = -62704", "Subtract 2494 from both sides: -13x = -65198", "Divide both sides by -13: x = 65198/13"], "final_answer": "65198/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x + 2494 = 28x - 62704", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 2494, \"c\": 28, \"d\": 62704}", "seed": "3895691146705683299", "semantic_fingerprint": "sha256:c04060446efbd213efa7d1c759cb31b0e0ee72c0d601baf754faaadf57c8298a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002586", "prompt": "Find x: 21x + 87378 = 32(x + 9753)", "solution_steps": ["Expand: 21x + 87378 = 32x + 312096", "Subtract 32x from both sides: -11x + 87378 = 312096", "Subtract 87378 from both sides: -11x = 224718", "Divide both sides by -11: x = -224718/11"], "final_answer": "-224718/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 87378 = 32(x + 9753)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 87378, \"c\": 32, \"d\": 9753}", "seed": "4037743240412215545", "semantic_fingerprint": "sha256:06ebaa514cbd2cddb161fa6ad1bebd349020949785aaefe35583390f142d23a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002587", "prompt": "Calculate: (1716 + (-98125)) * 2584 / (-8874)", "solution_steps": ["Add: 1716 + (-98125) = -96409", "Multiply: -96409 * 2584 = -249120856", "Divide: -249120856 / (-8874) = 7327084/261"], "final_answer": "7327084/261", "answer_type": "rational", "kind": "expression", "math_text": "(1716 + (-98125)) * 2584 / (-8874)", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1716, \"b\": -98125, \"c\": 2584, \"d\": -8874}", "seed": "9036889122405982447", "semantic_fingerprint": "sha256:5cf6c7cc684cce5f9c4e2eee8375ef0189d94f14c1ef4a64eacf7e204b22b91a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002588", "prompt": "Calculate: -4853 / (-36754 - (-1387))", "solution_steps": ["Subtract: -36754 - (-1387) = -35367", "Divide: -4853 / (-35367) = 4853/35367"], "final_answer": "4853/35367", "answer_type": "rational", "kind": "expression", "math_text": "-4853 / (-36754 - (-1387))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4853, \"b\": -36754, \"c\": -1387}", "seed": "12612792167104469090", "semantic_fingerprint": "sha256:582c5255504b29a0572c3a264365773a223fc983cde3500388a97242986549ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002589", "prompt": "What value of x satisfies x - 5957 = -36x?", "solution_steps": ["Add 36x to both sides: 37x - 5957 = 0", "Add 5957 to both sides: 37x = 5957", "Divide both sides by 37: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5957 = -36x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36, \"c\": -5957, \"x\": 161}", "seed": "11970747304776978753", "semantic_fingerprint": "sha256:1d0f7afd824b16c076e16d5eefda2c1c159c7501a5f269f577bf7f13beb32cbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002590", "prompt": "Solve the equation -39(x + 88700) - 8604 = 19(x - 8374) for x.", "solution_steps": ["Expand: -39x - 3459300 - 8604 = 19(x - 8374)", "Expand: -39x - 3459300 - 8604 = 19x - 159106", "Combine constants: -39x - 3467904 = 19x - 159106", "Subtract 19x from both sides: -58x - 3467904 = -159106", "Add 3467904 to both sides: -58x = 3308798", "Divide both sides by -58: x = -1654399/29"], "final_answer": "-1654399/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 88700) - 8604 = 19(x - 8374)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 88700, \"c\": 8604, \"d\": 19, \"e\": 8374}", "seed": "17575486332664690863", "semantic_fingerprint": "sha256:63139cf4b12f8ecc2533ea13249d3c88c9916fd08ce5151092d03a6e71f2265b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002591", "prompt": "Evaluate: -7321 + (8354 / 8836 - (-6388))", "solution_steps": ["Divide: 8354 / 8836 = 4177/4418", "Subtract: 4177/4418 - (-6388) = 28226361/4418", "Add: -7321 + 28226361/4418 = -4117817/4418"], "final_answer": "-4117817/4418", "answer_type": "rational", "kind": "expression", "math_text": "-7321 + (8354 / 8836 - (-6388))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7321, \"b\": 8354, \"c\": 8836, \"d\": -6388}", "seed": "11574035573654216314", "semantic_fingerprint": "sha256:082fffc0a7a456ec4ca5f7a259c5c3af805a3f6e5a8eb7311cb8f275c3fa745c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002592", "prompt": "Find x: x - 7163 = 21x - 9323", "solution_steps": ["Subtract 21x from both sides: -20x - 7163 = -9323", "Add 7163 to both sides: -20x = -2160", "Divide both sides by -20: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7163 = 21x - 9323", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7163, \"b\": 21, \"d\": -9323, \"x\": 108}", "seed": "2977913697844775034", "semantic_fingerprint": "sha256:0c072c8a37fd8d730d4dee810cd591715ffcd957cd35a18390dbf6dfc42758f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002593", "prompt": "Calculate: 6364 / (4318 / (-9747)) * (-5623)", "solution_steps": ["Divide: 4318 / (-9747) = -4318/9747", "Divide: 6364 / (-4318/9747) = -31014954/2159", "Multiply: (-31014954/2159) * (-5623) = 174397086342/2159"], "final_answer": "174397086342/2159", "answer_type": "rational", "kind": "expression", "math_text": "6364 / (4318 / (-9747)) * (-5623)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6364, \"b\": 4318, \"c\": -9747, \"d\": -5623}", "seed": "12009988452191060028", "semantic_fingerprint": "sha256:8b71bafea024f2b1fe04d7f60719bee1470fd409b671df4e02b166671a82ff9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002594", "prompt": "Find x: x - 92441 = 21x - 91841", "solution_steps": ["Subtract 21x from both sides: -20x - 92441 = -91841", "Add 92441 to both sides: -20x = 600", "Divide both sides by -20: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 92441 = 21x - 91841", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 92441, \"b\": 21, \"d\": -91841, \"x\": -30}", "seed": "16919052164405175920", "semantic_fingerprint": "sha256:5315e2b044e0af59de6331767f7c0cbf4c4ab2a731226654a5a7ab2208c95666", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002595", "prompt": "Compute: -1114 - (-6168) - (-17415)", "solution_steps": ["Subtract: -1114 - (-6168) = 5054", "Subtract: 5054 - (-17415) = 22469"], "final_answer": "22469", "answer_type": "integer", "kind": "expression", "math_text": "-1114 - (-6168) - (-17415)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1114, \"b\": -6168, \"c\": -17415}", "seed": "9184916993658506215", "semantic_fingerprint": "sha256:0256b185dd409f6f5492214f3e02ea8e99b43f2d362e13cbf77804e3eacbcf43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002596", "prompt": "Calculate: -1255 + (-4990) - 35198", "solution_steps": ["Add: -1255 + (-4990) = -6245", "Subtract: -6245 - 35198 = -41443"], "final_answer": "-41443", "answer_type": "integer", "kind": "expression", "math_text": "-1255 + (-4990) - 35198", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1255, \"b\": -4990, \"c\": 35198}", "seed": "7867263221861681301", "semantic_fingerprint": "sha256:998d77e8892d4195260b09c6a073aa237a311dd37b3fe0d3c182d40dac3e8cd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002597", "prompt": "Compute: -57395 + 8717 - (-3978) - (-30909)", "solution_steps": ["Add: -57395 + 8717 = -48678", "Subtract: -48678 - (-3978) = -44700", "Subtract: -44700 - (-30909) = -13791"], "final_answer": "-13791", "answer_type": "integer", "kind": "expression", "math_text": "-57395 + 8717 - (-3978) - (-30909)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -57395, \"b\": 8717, \"c\": -3978, \"d\": -30909}", "seed": "10746448492068974654", "semantic_fingerprint": "sha256:0bf7d6c075765f172ef2120aea0647bd256ea6012b122f4aadd493a0bd92a815", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002598", "prompt": "Evaluate: 5864 / (-44025) - (89787 + (-1741))", "solution_steps": ["Divide: 5864 / (-44025) = -5864/44025", "Add: 89787 + (-1741) = 88046", "Subtract: -5864/44025 - 88046 = -3876231014/44025"], "final_answer": "-3876231014/44025", "answer_type": "rational", "kind": "expression", "math_text": "5864 / (-44025) - (89787 + (-1741))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5864, \"b\": -44025, \"c\": 89787, \"d\": -1741}", "seed": "11335783069605715003", "semantic_fingerprint": "sha256:66b6f58050900351fce3a02ea09d46df6aa7e1154873abd4035d97000ddbccdb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002599", "prompt": "Solve the equation -29x + 39213 = -31x + 39589 for x.", "solution_steps": ["Add 31x to both sides: 2x + 39213 = 39589", "Subtract 39213 from both sides: 2x = 376", "Divide both sides by 2: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x + 39213 = -31x + 39589", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 39213, \"c\": -31, \"e\": 39589, \"x\": 188}", "seed": "18432881679329699450", "semantic_fingerprint": "sha256:5a71015fb5d8720a2e4aa96d075165362c591ac228e61f2f65ef80c0e6a74576", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002600", "prompt": "What is -27505 - 5795 - (-8657) / 25823 + (-69814 + 6837)?", "solution_steps": ["Subtract: -27505 - 5795 = -33300", "Divide: -8657 / 25823 = -8657/25823", "Subtract: -33300 - (-8657/25823) = -859897243/25823", "Add: -69814 + 6837 = -62977", "Add: -859897243/25823 + (-62977) = -2486152314/25823"], "final_answer": "-2486152314/25823", "answer_type": "rational", "kind": "expression", "math_text": "-27505 - 5795 - (-8657) / 25823 + (-69814 + 6837)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27505, \"b\": 5795, \"c\": -8657, \"d\": 25823, \"e\": -69814, \"f\": 6837}", "seed": "14290761570030292341", "semantic_fingerprint": "sha256:426a341b19fb7dbda963e9f974721db9ca2518084879b2f42df38622340e30af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002601", "prompt": "Find x: 15x + 69295 = x + 71885", "solution_steps": ["Subtract x from both sides: 14x + 69295 = 71885", "Subtract 69295 from both sides: 14x = 2590", "Divide both sides by 14: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x + 69295 = x + 71885", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 69295, \"d\": 71885, \"x\": 185}", "seed": "3785323061944764080", "semantic_fingerprint": "sha256:d478bde492c2f921e05499df1f383999c3d15e73343da274626e94c7b813c004", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002602", "prompt": "Compute: -5534 - 4049 + 45146", "solution_steps": ["Subtract: -5534 - 4049 = -9583", "Add: -9583 + 45146 = 35563"], "final_answer": "35563", "answer_type": "integer", "kind": "expression", "math_text": "-5534 - 4049 + 45146", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5534, \"b\": 4049, \"c\": 45146}", "seed": "5547259590035868667", "semantic_fingerprint": "sha256:4d6833352b38dc42aa5daa0fd09b4c6a631c4422f3e5f1c30a32206a91e32961", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002603", "prompt": "What value of x satisfies x + 6388 = 23(x - 3721) + 93621?", "solution_steps": ["Expand: x + 6388 = 23x - 85583 + 93621", "Combine constants: x + 6388 = 23x + 8038", "Subtract 23x from both sides: -22x + 6388 = 8038", "Subtract 6388 from both sides: -22x = 1650", "Divide both sides by -22: x = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6388 = 23(x - 3721) + 93621", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6388, \"b\": 23, \"c\": 3721, \"e\": 93621, \"x\": -75}", "seed": "15880075255295737311", "semantic_fingerprint": "sha256:91ec8e28b82a9825bfb2ff0cac03ab4409fdd463574b18386a4b1bb269957f6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002604", "prompt": "What is (4442 - 3441) * (65514 + (-8109 + (-6479)) / 4280)?", "solution_steps": ["Subtract: 4442 - 3441 = 1001", "Add: -8109 + (-6479) = -14588", "Divide: -14588 / 4280 = -3647/1070", "Add: 65514 + (-3647/1070) = 70096333/1070", "Multiply: 1001 * (70096333/1070) = 70166429333/1070"], "final_answer": "70166429333/1070", "answer_type": "rational", "kind": "expression", "math_text": "(4442 - 3441) * (65514 + (-8109 + (-6479)) / 4280)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ n (/ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4442, \"b\": 3441, \"c\": 65514, \"d\": -8109, \"e\": -6479, \"f\": 4280}", "seed": "16624916013377451974", "semantic_fingerprint": "sha256:1215afe02d0803108ad69f9e8aa6794f141575808c586b97090326742e08ab2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002605", "prompt": "Solve for x: -36(x + 87622) + 8397 = 39(x - 1503)", "solution_steps": ["Expand: -36x - 3154392 + 8397 = 39(x - 1503)", "Expand: -36x - 3154392 + 8397 = 39x - 58617", "Combine constants: -36x - 3145995 = 39x - 58617", "Subtract 39x from both sides: -75x - 3145995 = -58617", "Add 3145995 to both sides: -75x = 3087378", "Divide both sides by -75: x = -1029126/25"], "final_answer": "-1029126/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 87622) + 8397 = 39(x - 1503)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 87622, \"c\": 8397, \"d\": 39, \"e\": 1503}", "seed": "117562768358758451", "semantic_fingerprint": "sha256:75501df0bf8457bb1dc92a3dfe0f0e4cadc275f98022ab36345329782aaee730", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002606", "prompt": "Compute: -3228 + (-7615) + 37068", "solution_steps": ["Add: -3228 + (-7615) = -10843", "Add: -10843 + 37068 = 26225"], "final_answer": "26225", "answer_type": "integer", "kind": "expression", "math_text": "-3228 + (-7615) + 37068", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3228, \"b\": -7615, \"c\": 37068}", "seed": "16793729472451113444", "semantic_fingerprint": "sha256:ffb6a48ef246c18c793e6827b608ac35319f017908787ac915d623edc785b7bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002607", "prompt": "What value of x satisfies 40x = x + 1287?", "solution_steps": ["Subtract x from both sides: 39x = 1287", "Divide both sides by 39: x = 33"], "final_answer": "33", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = x + 1287", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": 1287, \"x\": 33}", "seed": "14260459502486454235", "semantic_fingerprint": "sha256:9f6e7ddb4ded33fab48f93473a9050d82ecc4eca24f202ee0940c895240c4bf9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002608", "prompt": "Calculate: 5394 - (-1208) / (-89810)", "solution_steps": ["Divide: -1208 / (-89810) = 604/44905", "Subtract: 5394 - 604/44905 = 242216966/44905"], "final_answer": "242216966/44905", "answer_type": "rational", "kind": "expression", "math_text": "5394 - (-1208) / (-89810)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5394, \"b\": -1208, \"c\": -89810}", "seed": "2734163324999288086", "semantic_fingerprint": "sha256:c4a14530fe1101164858075cde211283eefb440b0889f44ce204fc1cf513677f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002609", "prompt": "Evaluate: 4044 * (-7062 * (-93836) / (-1753 - (-4276)))", "solution_steps": ["Multiply: -7062 * (-93836) = 662669832", "Subtract: -1753 - (-4276) = 2523", "Divide: 662669832 / 2523 = 220889944/841", "Multiply: 4044 * (220889944/841) = 893278933536/841"], "final_answer": "893278933536/841", "answer_type": "rational", "kind": "expression", "math_text": "4044 * (-7062 * (-93836) / (-1753 - (-4276)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4044, \"b\": -7062, \"c\": -93836, \"d\": -1753, \"e\": -4276}", "seed": "6006872881541649424", "semantic_fingerprint": "sha256:7564433a1bd8c61d99980345b480de8415c53a9965008c8c46983cf69d114119", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002610", "prompt": "Calculate: -47950 * (-6431) / 5819", "solution_steps": ["Multiply: -47950 * (-6431) = 308366450", "Divide: 308366450 / 5819 = 308366450/5819"], "final_answer": "308366450/5819", "answer_type": "rational", "kind": "expression", "math_text": "-47950 * (-6431) / 5819", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47950, \"b\": -6431, \"c\": 5819}", "seed": "17870982924094908644", "semantic_fingerprint": "sha256:a09ad32bdd971fa7df9aa413079ac5951a849cea9189f524cfff267874cde38f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002611", "prompt": "Solve for x: 34(x - 6058) = 37(x - 7706) - 50421", "solution_steps": ["Expand: 34x - 205972 = 37(x - 7706) - 50421", "Expand: 34x - 205972 = 37x - 285122 - 50421", "Combine constants: 34x - 205972 = 37x - 335543", "Subtract 37x from both sides: -3x - 205972 = -335543", "Add 205972 to both sides: -3x = -129571", "Divide both sides by -3: x = 129571/3"], "final_answer": "129571/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 6058) = 37(x - 7706) - 50421", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6058, \"c\": 37, \"d\": 7706, \"e\": 50421}", "seed": "3123464092184284855", "semantic_fingerprint": "sha256:49c7f3b9c547425f19bcee6b063c0d605bdb08e44b64d00cdda333009d3cde21", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002612", "prompt": "Evaluate: 7709 / (-4579) - (-7003)", "solution_steps": ["Divide: 7709 / (-4579) = -7709/4579", "Subtract: -7709/4579 - (-7003) = 32059028/4579"], "final_answer": "32059028/4579", "answer_type": "rational", "kind": "expression", "math_text": "7709 / (-4579) - (-7003)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7709, \"b\": -4579, \"c\": -7003}", "seed": "9329771340702120644", "semantic_fingerprint": "sha256:bf0e460151d7820eaae464a4910c7d9d39c7d9e4ee8c15c6b5971dadbc6926a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002613", "prompt": "Evaluate: 1486 / (-41376)", "solution_steps": ["Divide: 1486 / (-41376) = -743/20688"], "final_answer": "-743/20688", "answer_type": "rational", "kind": "expression", "math_text": "1486 / (-41376)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1486, \"b\": -41376}", "seed": "8610200551493387361", "semantic_fingerprint": "sha256:ec36502dc170a4556275a21947ca92cbbc3068e71b6836b1e79659a1f3f8f900", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002614", "prompt": "What is 3351 - (8198 + (-8832))?", "solution_steps": ["Add: 8198 + (-8832) = -634", "Subtract: 3351 - (-634) = 3985"], "final_answer": "3985", "answer_type": "integer", "kind": "expression", "math_text": "3351 - (8198 + (-8832))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3351, \"b\": 8198, \"c\": -8832}", "seed": "14096354107523074419", "semantic_fingerprint": "sha256:e181ce5ac469a64690a1b4912018eed4a197cf7360cc625e087dc1bccb9a6d38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002615", "prompt": "What is (54051 + (-5061)) / (-3027 / (-70978 + (-4912)))?", "solution_steps": ["Add: 54051 + (-5061) = 48990", "Add: -70978 + (-4912) = -75890", "Divide: -3027 / (-75890) = 3027/75890", "Divide: 48990 / (3027/75890) = 1239283700/1009"], "final_answer": "1239283700/1009", "answer_type": "rational", "kind": "expression", "math_text": "(54051 + (-5061)) / (-3027 / (-70978 + (-4912)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 54051, \"b\": -5061, \"c\": -3027, \"d\": -70978, \"e\": -4912}", "seed": "14534104350494090743", "semantic_fingerprint": "sha256:08fafbea977635977a193b7ce6c013eb1880fd78fa23d0e21a5033c56d057276", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002616", "prompt": "Calculate: -9420 * (-41950) + (-2559) - 4372", "solution_steps": ["Multiply: -9420 * (-41950) = 395169000", "Add: 395169000 + (-2559) = 395166441", "Subtract: 395166441 - 4372 = 395162069"], "final_answer": "395162069", "answer_type": "integer", "kind": "expression", "math_text": "-9420 * (-41950) + (-2559) - 4372", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9420, \"b\": -41950, \"c\": -2559, \"d\": 4372}", "seed": "17012844368807282582", "semantic_fingerprint": "sha256:847eb040f020645c6cc19418ebaf88359fc391cdf9a45ac452a6cfc4770eb239", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002617", "prompt": "Solve the equation 21(x - 2514) = -54516 for x.", "solution_steps": ["Expand: 21x - 52794 = -54516", "Add 52794 to both sides: 21x = -1722", "Divide both sides by 21: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 2514) = -54516", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 2514, \"d\": -54516, \"x\": -82}", "seed": "17498752595773429224", "semantic_fingerprint": "sha256:ef75ef4f82c6df00b2005fbfd9ffa29b6a1186bce654fbd21ea66d9131406f2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002618", "prompt": "Find x: x = 17x - 98685", "solution_steps": ["Subtract 17x from both sides: -16x = -98685", "Divide both sides by -16: x = 98685/16"], "final_answer": "98685/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17x - 98685", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 98685}", "seed": "13808601695149688883", "semantic_fingerprint": "sha256:aa61c340dd10b580d50d911a8493b4d9d4d119e20378466de707b75a7765f60e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002619", "prompt": "Evaluate: 19177 / (-2022)", "solution_steps": ["Divide: 19177 / (-2022) = -19177/2022"], "final_answer": "-19177/2022", "answer_type": "rational", "kind": "expression", "math_text": "19177 / (-2022)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19177, \"b\": -2022}", "seed": "10926192740764778776", "semantic_fingerprint": "sha256:377738cbed3ce8ae191198317e2940a157f9616b8e7f46c654914494c2a88f4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002620", "prompt": "What is -7139 + (7341 + (-9819) + (-6016))?", "solution_steps": ["Add: 7341 + (-9819) = -2478", "Add: -2478 + (-6016) = -8494", "Add: -7139 + (-8494) = -15633"], "final_answer": "-15633", "answer_type": "integer", "kind": "expression", "math_text": "-7139 + (7341 + (-9819) + (-6016))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7139, \"b\": 7341, \"c\": -9819, \"d\": -6016}", "seed": "13388636485222391840", "semantic_fingerprint": "sha256:b0079416dda7038201c50027a74ffd22f98d8759f41551fc42b336d7c4056cad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002621", "prompt": "What is (-6564 - 5335) * 9330?", "solution_steps": ["Subtract: -6564 - 5335 = -11899", "Multiply: -11899 * 9330 = -111017670"], "final_answer": "-111017670", "answer_type": "integer", "kind": "expression", "math_text": "(-6564 - 5335) * 9330", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6564, \"b\": 5335, \"c\": 9330}", "seed": "12661000771153300945", "semantic_fingerprint": "sha256:15f0528eb1e082086d60a0695cdd5c6e5ea7ec933944cd9e0f5d564bfbef3377", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002622", "prompt": "Find x: 15x - 2180 = -33(x + 5526) - 44617", "solution_steps": ["Expand: 15x - 2180 = -33x - 182358 - 44617", "Combine constants: 15x - 2180 = -33x - 226975", "Add 33x to both sides: 48x - 2180 = -226975", "Add 2180 to both sides: 48x = -224795", "Divide both sides by 48: x = -224795/48"], "final_answer": "-224795/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x - 2180 = -33(x + 5526) - 44617", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 2180, \"c\": -33, \"d\": 5526, \"e\": 44617}", "seed": "5060129459751860309", "semantic_fingerprint": "sha256:c63c34332020467ad57e53d7924596baf92b1d9fb51fd701e2f0e8083259587c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002623", "prompt": "Compute: -73073 - (-2962 - (-8334))", "solution_steps": ["Subtract: -2962 - (-8334) = 5372", "Subtract: -73073 - 5372 = -78445"], "final_answer": "-78445", "answer_type": "integer", "kind": "expression", "math_text": "-73073 - (-2962 - (-8334))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -73073, \"b\": -2962, \"c\": -8334}", "seed": "3681772757997024045", "semantic_fingerprint": "sha256:8f5fad5ae8c991108f304669ef4c46ebee49e3f7beea5141d7c81d33a6ed7f76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002624", "prompt": "Solve for x: x - 99815 = 27(x - 7507) - 3313", "solution_steps": ["Expand: x - 99815 = 27x - 202689 - 3313", "Combine constants: x - 99815 = 27x - 206002", "Subtract 27x from both sides: -26x - 99815 = -206002", "Add 99815 to both sides: -26x = -106187", "Divide both sides by -26: x = 106187/26"], "final_answer": "106187/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 99815 = 27(x - 7507) - 3313", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 99815, \"b\": 27, \"c\": 7507, \"d\": 3313}", "seed": "12475337207453630449", "semantic_fingerprint": "sha256:2430cb2c4c7639de338c364c7de3c0ca85176227345e919d07256505325ab4e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002625", "prompt": "Solve the equation 16x + 44596 = x - 5433 for x.", "solution_steps": ["Subtract x from both sides: 15x + 44596 = -5433", "Subtract 44596 from both sides: 15x = -50029", "Divide both sides by 15: x = -50029/15"], "final_answer": "-50029/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x + 44596 = x - 5433", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 44596, \"c\": 5433}", "seed": "18059050462745724418", "semantic_fingerprint": "sha256:02e156083901d572d7c9c7e4b79eeefef2fe16a8d2db146fdd5560542340642b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002626", "prompt": "What is 8312 - (-49608 * 12216 - (-8365) - (-3678)) + 1217?", "solution_steps": ["Multiply: -49608 * 12216 = -606011328", "Subtract: -606011328 - (-8365) = -606002963", "Subtract: -606002963 - (-3678) = -605999285", "Subtract: 8312 - (-605999285) = 606007597", "Add: 606007597 + 1217 = 606008814"], "final_answer": "606008814", "answer_type": "integer", "kind": "expression", "math_text": "8312 - (-49608 * 12216 - (-8365) - (-3678)) + 1217", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (- (* n n) n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8312, \"b\": -49608, \"c\": 12216, \"d\": -8365, \"e\": -3678, \"f\": 1217}", "seed": "796418184042100386", "semantic_fingerprint": "sha256:c790d4ff16746e2b466e684420d7701dc9432e7b2f412dee5083768b87f4ab9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002627", "prompt": "Solve the equation 33(x - 44989) + 4322 = 36x - 1593 for x.", "solution_steps": ["Expand: 33x - 1484637 + 4322 = 36x - 1593", "Combine constants: 33x - 1480315 = 36x - 1593", "Subtract 36x from both sides: -3x - 1480315 = -1593", "Add 1480315 to both sides: -3x = 1478722", "Divide both sides by -3: x = -1478722/3"], "final_answer": "-1478722/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 44989) + 4322 = 36x - 1593", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 44989, \"c\": 4322, \"d\": 36, \"e\": 1593}", "seed": "9785555794472196938", "semantic_fingerprint": "sha256:872c7c23219369a0916cd64a48c920e51553181fb198331038cc2c2560fd2e84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002628", "prompt": "Calculate: -3021 + (-25690) * 62928 / 3223", "solution_steps": ["Multiply: -25690 * 62928 = -1616620320", "Divide: -1616620320 / 3223 = -1616620320/3223", "Add: -3021 + (-1616620320/3223) = -1626357003/3223"], "final_answer": "-1626357003/3223", "answer_type": "rational", "kind": "expression", "math_text": "-3021 + (-25690) * 62928 / 3223", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3021, \"b\": -25690, \"c\": 62928, \"d\": 3223}", "seed": "7795339369868674841", "semantic_fingerprint": "sha256:3744bb1019d34351a040421887a96df71084c6106784d96a324c5d33dc2f819d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002629", "prompt": "Evaluate: 67917 / (-98616) + (15192 - 45035)", "solution_steps": ["Divide: 67917 / (-98616) = -22639/32872", "Subtract: 15192 - 45035 = -29843", "Add: -22639/32872 + (-29843) = -981021735/32872"], "final_answer": "-981021735/32872", "answer_type": "rational", "kind": "expression", "math_text": "67917 / (-98616) + (15192 - 45035)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 67917, \"b\": -98616, \"c\": 15192, \"d\": 45035}", "seed": "5692205387556068998", "semantic_fingerprint": "sha256:35228fbe3800ee1196d7544ccf031792857e5a04e84766d8f47bfa31a6fbe02d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002630", "prompt": "Compute: (82997 + (-2200)) * (-1258 / (-5737))", "solution_steps": ["Add: 82997 + (-2200) = 80797", "Divide: -1258 / (-5737) = 1258/5737", "Multiply: 80797 * (1258/5737) = 101642626/5737"], "final_answer": "101642626/5737", "answer_type": "rational", "kind": "expression", "math_text": "(82997 + (-2200)) * (-1258 / (-5737))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82997, \"b\": -2200, \"c\": -1258, \"d\": -5737}", "seed": "5370498989770521777", "semantic_fingerprint": "sha256:2f148eb3d630dac51863c565fbe0a84870d16911c56b47cad5c753ecce0ca654", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002631", "prompt": "Compute: -5924 * (-8448) - (-69326 - 3996)", "solution_steps": ["Multiply: -5924 * (-8448) = 50045952", "Subtract: -69326 - 3996 = -73322", "Subtract: 50045952 - (-73322) = 50119274"], "final_answer": "50119274", "answer_type": "integer", "kind": "expression", "math_text": "-5924 * (-8448) - (-69326 - 3996)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5924, \"b\": -8448, \"c\": -69326, \"d\": 3996}", "seed": "6895501288559183642", "semantic_fingerprint": "sha256:6897a06db22b5b51d6512ae1e9ca5825f89956532a1345289ad43d99177ef3fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002632", "prompt": "What is -2919 + (38879 - (-2530))?", "solution_steps": ["Subtract: 38879 - (-2530) = 41409", "Add: -2919 + 41409 = 38490"], "final_answer": "38490", "answer_type": "integer", "kind": "expression", "math_text": "-2919 + (38879 - (-2530))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2919, \"b\": 38879, \"c\": -2530}", "seed": "12406119126657760548", "semantic_fingerprint": "sha256:1acbaae3d8848f753186629d90e42441772076f72fff2183ad398a52cee3c348", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002633", "prompt": "Evaluate: -8913 * 7709 + (-9506 + (-34274))", "solution_steps": ["Multiply: -8913 * 7709 = -68710317", "Add: -9506 + (-34274) = -43780", "Add: -68710317 + (-43780) = -68754097"], "final_answer": "-68754097", "answer_type": "integer", "kind": "expression", "math_text": "-8913 * 7709 + (-9506 + (-34274))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8913, \"b\": 7709, \"c\": -9506, \"d\": -34274}", "seed": "3640282295967085905", "semantic_fingerprint": "sha256:0a1fcdce3c656440ba72982b11793fd8828b9c74015c6d2df7cd124348b0c827", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002634", "prompt": "Calculate: -31687 * (-50687 / (-21339))", "solution_steps": ["Divide: -50687 / (-21339) = 50687/21339", "Multiply: -31687 * (50687/21339) = -1606118969/21339"], "final_answer": "-1606118969/21339", "answer_type": "rational", "kind": "expression", "math_text": "-31687 * (-50687 / (-21339))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31687, \"b\": -50687, \"c\": -21339}", "seed": "17370182001881560245", "semantic_fingerprint": "sha256:f9f058943503c144b9ea9070fd4842e9e60e18423099ced4f50ddca495541d1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002635", "prompt": "Compute: 9710 + 34275", "solution_steps": ["Add: 9710 + 34275 = 43985"], "final_answer": "43985", "answer_type": "integer", "kind": "expression", "math_text": "9710 + 34275", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9710, \"b\": 34275}", "seed": "12365195496346731150", "semantic_fingerprint": "sha256:e622aeba8c49a387d98e2472293754e3ced53e8b34a5a7c266a2c3d8d6f13793", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002636", "prompt": "Solve the equation 35x + 8796 = 14x - 3909 for x.", "solution_steps": ["Subtract 14x from both sides: 21x + 8796 = -3909", "Subtract 8796 from both sides: 21x = -12705", "Divide both sides by 21: x = -605"], "final_answer": "-605", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 8796 = 14x - 3909", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 8796, \"c\": 14, \"d\": 3909}", "seed": "242098783730460734", "semantic_fingerprint": "sha256:9d3e03f63ae9a26ac73083dae529b042ac4b11da95fb6d84c1f6eda1c558a5f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002637", "prompt": "Evaluate: 3214 / 2113 - 4338", "solution_steps": ["Divide: 3214 / 2113 = 3214/2113", "Subtract: 3214/2113 - 4338 = -9162980/2113"], "final_answer": "-9162980/2113", "answer_type": "rational", "kind": "expression", "math_text": "3214 / 2113 - 4338", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3214, \"b\": 2113, \"c\": 4338}", "seed": "165618163240616433", "semantic_fingerprint": "sha256:7980de05a0b11408366ae29c8e1139749085cf3074ca5d9dff9aadd04c46fccd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002638", "prompt": "Find x: 39(x + 39580) + 7189 = 71147", "solution_steps": ["Expand: 39x + 1543620 + 7189 = 71147", "Combine constants: 39x + 1550809 = 71147", "Subtract 1550809 from both sides: 39x = -1479662", "Divide both sides by 39: x = -1479662/39"], "final_answer": "-1479662/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 39580) + 7189 = 71147", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 39580, \"c\": 7189, \"d\": 71147}", "seed": "15750747462690831299", "semantic_fingerprint": "sha256:292892140a95399c0022996778a886aa8f12c37f3a018ebb7050512f2de797a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002639", "prompt": "Find x: 13x - 42293 = 22(x - 1240) - 14104", "solution_steps": ["Expand: 13x - 42293 = 22x - 27280 - 14104", "Combine constants: 13x - 42293 = 22x - 41384", "Subtract 22x from both sides: -9x - 42293 = -41384", "Add 42293 to both sides: -9x = 909", "Divide both sides by -9: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x - 42293 = 22(x - 1240) - 14104", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 42293, \"c\": 22, \"d\": 1240, \"f\": -14104, \"x\": -101}", "seed": "10867182780377394505", "semantic_fingerprint": "sha256:76581701d17af0a0b13cc937fe91d2a4ac11972581d64d523bbc031410ee25c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002640", "prompt": "Compute: 5603 * (-5062) * 22622", "solution_steps": ["Multiply: 5603 * (-5062) = -28362386", "Multiply: -28362386 * 22622 = -641613896092"], "final_answer": "-641613896092", "answer_type": "integer", "kind": "expression", "math_text": "5603 * (-5062) * 22622", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5603, \"b\": -5062, \"c\": 22622}", "seed": "5443969638778282966", "semantic_fingerprint": "sha256:45ac00aa572a5390a5ab331f2333cae4ca5932d5d830af4c1da7d741b931c57f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002641", "prompt": "Calculate: (-7898 + 7215) / (-5304) * (-6426) / 1827", "solution_steps": ["Add: -7898 + 7215 = -683", "Divide: -683 / (-5304) = 683/5304", "Multiply: (683/5304) * (-6426) = -43029/52", "Divide: (-43029/52) / 1827 = -683/1508"], "final_answer": "-683/1508", "answer_type": "rational", "kind": "expression", "math_text": "(-7898 + 7215) / (-5304) * (-6426) / 1827", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7898, \"b\": 7215, \"c\": -5304, \"d\": -6426, \"e\": 1827}", "seed": "1172076655123600438", "semantic_fingerprint": "sha256:b95a101c4fb21d23dc0c3d70741ca2788645dca411b02aa2383fd3d22bba1c42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002642", "prompt": "Calculate: -5919 / (-1327)", "solution_steps": ["Divide: -5919 / (-1327) = 5919/1327"], "final_answer": "5919/1327", "answer_type": "rational", "kind": "expression", "math_text": "-5919 / (-1327)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5919, \"b\": -1327}", "seed": "1526124706449214846", "semantic_fingerprint": "sha256:0b10eaa181ef9dbb96f11233c6da34ac9033cdb53bd39ae079c5095ad67f09a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002643", "prompt": "Calculate: 70417 + (-6088 - (-7922)) - 11077", "solution_steps": ["Subtract: -6088 - (-7922) = 1834", "Add: 70417 + 1834 = 72251", "Subtract: 72251 - 11077 = 61174"], "final_answer": "61174", "answer_type": "integer", "kind": "expression", "math_text": "70417 + (-6088 - (-7922)) - 11077", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70417, \"b\": -6088, \"c\": -7922, \"d\": 11077}", "seed": "3646976852606814779", "semantic_fingerprint": "sha256:f48d07f9897a5a02104e62425a674eeee5849c91a1670f620f9ef7b0b3ab8cd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002644", "prompt": "Evaluate: -5647 + 5837 - (-77368) * 5851", "solution_steps": ["Add: -5647 + 5837 = 190", "Multiply: -77368 * 5851 = -452680168", "Subtract: 190 - (-452680168) = 452680358"], "final_answer": "452680358", "answer_type": "integer", "kind": "expression", "math_text": "-5647 + 5837 - (-77368) * 5851", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5647, \"b\": 5837, \"c\": -77368, \"d\": 5851}", "seed": "6167327251663870542", "semantic_fingerprint": "sha256:4a19b9543db79b690116b9ae17b6af9765eeaff44678c77dc05e2c9c74f40687", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002645", "prompt": "Find x: 21x = 20x", "solution_steps": ["Subtract 20x from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 20x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 20}", "seed": "17479067707845510237", "semantic_fingerprint": "sha256:360369e808ff47d441a28e16c7551f299e11f601b339266ec135cc0f85796626", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002646", "prompt": "What value of x satisfies x - 4360 = 29(x + 1711) - 55071?", "solution_steps": ["Expand: x - 4360 = 29x + 49619 - 55071", "Combine constants: x - 4360 = 29x - 5452", "Subtract 29x from both sides: -28x - 4360 = -5452", "Add 4360 to both sides: -28x = -1092", "Divide both sides by -28: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4360 = 29(x + 1711) - 55071", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4360, \"b\": 29, \"c\": 1711, \"e\": -55071, \"x\": 39}", "seed": "17662207738971233090", "semantic_fingerprint": "sha256:6147c10d15f8b3ef7359f452a524bb77926f7248e71ea1d6a28f862f2d30933f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002647", "prompt": "Compute: -15643 - 1608", "solution_steps": ["Subtract: -15643 - 1608 = -17251"], "final_answer": "-17251", "answer_type": "integer", "kind": "expression", "math_text": "-15643 - 1608", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -15643, \"b\": 1608}", "seed": "15456043599781184780", "semantic_fingerprint": "sha256:8f9ee0d8b2f5059a608ff8e26a9099c0b4c384b307e11933a33aa6b29a5441f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002648", "prompt": "Calculate: 33521 + (-4488) - 83523 / (-41022)", "solution_steps": ["Add: 33521 + (-4488) = 29033", "Divide: 83523 / (-41022) = -27841/13674", "Subtract: 29033 - (-27841/13674) = 397025083/13674"], "final_answer": "397025083/13674", "answer_type": "rational", "kind": "expression", "math_text": "33521 + (-4488) - 83523 / (-41022)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33521, \"b\": -4488, \"c\": 83523, \"d\": -41022}", "seed": "9615897527839890170", "semantic_fingerprint": "sha256:0000f8256beefa307d7c1b6ab5beee61abc3cd187390fe66874627d68889a2ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002649", "prompt": "Compute: -64286 / (-2657) - 9893", "solution_steps": ["Divide: -64286 / (-2657) = 64286/2657", "Subtract: 64286/2657 - 9893 = -26221415/2657"], "final_answer": "-26221415/2657", "answer_type": "rational", "kind": "expression", "math_text": "-64286 / (-2657) - 9893", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64286, \"b\": -2657, \"c\": 9893}", "seed": "3829856268056369916", "semantic_fingerprint": "sha256:355491c11b9f6fc00ba5817b3be9de9ed6bbd463725d3c891802fdb3886cbcb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002650", "prompt": "Evaluate: 2786 / (-3819 + (-7758))", "solution_steps": ["Add: -3819 + (-7758) = -11577", "Divide: 2786 / (-11577) = -2786/11577"], "final_answer": "-2786/11577", "answer_type": "rational", "kind": "expression", "math_text": "2786 / (-3819 + (-7758))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2786, \"b\": -3819, \"c\": -7758}", "seed": "14763923627548790224", "semantic_fingerprint": "sha256:3bb90d7dcfa172785caee3ef6f90cc36d46a2f7053b8f2c6cfebfd789e5d0727", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002651", "prompt": "What value of x satisfies 37(x - 3946) = x?", "solution_steps": ["Expand: 37x - 146002 = x", "Subtract x from both sides: 36x - 146002 = 0", "Add 146002 to both sides: 36x = 146002", "Divide both sides by 36: x = 73001/18"], "final_answer": "73001/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 3946) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 3946}", "seed": "18098572683385324152", "semantic_fingerprint": "sha256:0d1e9597e43367c59b5e16cf2e8d495a64915d41450d28f04159355399f0f693", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002652", "prompt": "Evaluate: -18570 / 64290", "solution_steps": ["Divide: -18570 / 64290 = -619/2143"], "final_answer": "-619/2143", "answer_type": "rational", "kind": "expression", "math_text": "-18570 / 64290", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18570, \"b\": 64290}", "seed": "14337248098457590298", "semantic_fingerprint": "sha256:57ab4bfac4c8dc86316998c2a2240753ce654ef650add751b644e90ceb88480e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002653", "prompt": "What is 19527 + (-28871 * 6920 - (-27755) - 1875)?", "solution_steps": ["Multiply: -28871 * 6920 = -199787320", "Subtract: -199787320 - (-27755) = -199759565", "Subtract: -199759565 - 1875 = -199761440", "Add: 19527 + (-199761440) = -199741913"], "final_answer": "-199741913", "answer_type": "integer", "kind": "expression", "math_text": "19527 + (-28871 * 6920 - (-27755) - 1875)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19527, \"b\": -28871, \"c\": 6920, \"d\": -27755, \"e\": 1875}", "seed": "4219638502356750698", "semantic_fingerprint": "sha256:327c38fc5df19397316499db4c8d4a5907fdf3c4be28937c5895c4001612cac8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002654", "prompt": "Compute: (8123 + (-3844)) * 70887", "solution_steps": ["Add: 8123 + (-3844) = 4279", "Multiply: 4279 * 70887 = 303325473"], "final_answer": "303325473", "answer_type": "integer", "kind": "expression", "math_text": "(8123 + (-3844)) * 70887", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8123, \"b\": -3844, \"c\": 70887}", "seed": "199558146643604364", "semantic_fingerprint": "sha256:51990c39fa5584c44a692a1237e5ea3b26886574821b1f8cbb01455d49434d15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002655", "prompt": "Find x: -16x = -29(x - 4586)", "solution_steps": ["Expand: -16x = -29x + 132994", "Add 29x to both sides: 13x = 132994", "Divide both sides by 13: x = 132994/13"], "final_answer": "132994/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x = -29(x - 4586)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": -29, \"c\": 4586}", "seed": "16503845086809990779", "semantic_fingerprint": "sha256:1a61b871ea5aab635e1f62a305f96f9fdce21c2828c1c888bbb9b302d8111678", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002656", "prompt": "What is -5884 - (-3331) + (-8167) - 83667?", "solution_steps": ["Subtract: -5884 - (-3331) = -2553", "Add: -2553 + (-8167) = -10720", "Subtract: -10720 - 83667 = -94387"], "final_answer": "-94387", "answer_type": "integer", "kind": "expression", "math_text": "-5884 - (-3331) + (-8167) - 83667", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5884, \"b\": -3331, \"c\": -8167, \"d\": 83667}", "seed": "17028857379083222153", "semantic_fingerprint": "sha256:ebb215af8824e8ce5a189adb2afa8d7e2c6696d1b25366c514975d67250dbef7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002657", "prompt": "Solve for x: x + 5726 = 5562", "solution_steps": ["Subtract 5726 from both sides: x = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5726 = 5562", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5726, \"c\": 5562, \"x\": -164}", "seed": "1778425084034128204", "semantic_fingerprint": "sha256:a941bc4a42f61830f2994682509e3fd6c2dd8e5a7884d182c87742798db5439c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002658", "prompt": "What is -88814 + 39019 / (-3343) * 1859?", "solution_steps": ["Divide: 39019 / (-3343) = -39019/3343", "Multiply: (-39019/3343) * 1859 = -72536321/3343", "Add: -88814 + (-72536321/3343) = -369441523/3343"], "final_answer": "-369441523/3343", "answer_type": "rational", "kind": "expression", "math_text": "-88814 + 39019 / (-3343) * 1859", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -88814, \"b\": 39019, \"c\": -3343, \"d\": 1859}", "seed": "11984371689391417765", "semantic_fingerprint": "sha256:11a33002b5d0502bdecfc2f6bc3d49f89a80e10cad89878c1cfdd2092338499b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002659", "prompt": "Calculate: (-2349 + (-32805)) * 22594", "solution_steps": ["Add: -2349 + (-32805) = -35154", "Multiply: -35154 * 22594 = -794269476"], "final_answer": "-794269476", "answer_type": "integer", "kind": "expression", "math_text": "(-2349 + (-32805)) * 22594", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2349, \"b\": -32805, \"c\": 22594}", "seed": "15822222096395779591", "semantic_fingerprint": "sha256:e74ca4d286bc619204341d9ea70f3615cd50357d6e9b03057c5055fa73e2409f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002660", "prompt": "Calculate: -19989 * (-9124 / 35753)", "solution_steps": ["Divide: -9124 / 35753 = -9124/35753", "Multiply: -19989 * (-9124/35753) = 182379636/35753"], "final_answer": "182379636/35753", "answer_type": "rational", "kind": "expression", "math_text": "-19989 * (-9124 / 35753)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19989, \"b\": -9124, \"c\": 35753}", "seed": "10032572696052710546", "semantic_fingerprint": "sha256:f75fb1d5bd62ceddc3e0bd8612339837a50fd44ddd64bd6b5f8f2fddcf4e09b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002661", "prompt": "Solve the equation -22x + 2841 = x + 4428 for x.", "solution_steps": ["Subtract x from both sides: -23x + 2841 = 4428", "Subtract 2841 from both sides: -23x = 1587", "Divide both sides by -23: x = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x + 2841 = x + 4428", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 2841, \"d\": 4428, \"x\": -69}", "seed": "11185032393908216651", "semantic_fingerprint": "sha256:3e08eb3ed5fff78210fa1d9f7f9024c56aaa8b3cc062126e95120c579adc7eca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002662", "prompt": "Evaluate: (-9425 + (-44672)) * (-14048) / 6267", "solution_steps": ["Add: -9425 + (-44672) = -54097", "Multiply: -54097 * (-14048) = 759954656", "Divide: 759954656 / 6267 = 759954656/6267"], "final_answer": "759954656/6267", "answer_type": "rational", "kind": "expression", "math_text": "(-9425 + (-44672)) * (-14048) / 6267", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9425, \"b\": -44672, \"c\": -14048, \"d\": 6267}", "seed": "4926024577836868045", "semantic_fingerprint": "sha256:a7829777417e266aef68a38d9550634909453d0fe21d6e4022b44e4a5673e3d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002663", "prompt": "What value of x satisfies -30(x + 83682) + 66278 = x?", "solution_steps": ["Expand: -30x - 2510460 + 66278 = x", "Combine constants: -30x - 2444182 = x", "Subtract x from both sides: -31x - 2444182 = 0", "Add 2444182 to both sides: -31x = 2444182", "Divide both sides by -31: x = -2444182/31"], "final_answer": "-2444182/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 83682) + 66278 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 83682, \"c\": 66278}", "seed": "13179190936956795028", "semantic_fingerprint": "sha256:3fefb53d14eb25c13dc07ddc9bfee919a6ca87b4c401b8d1e0368287ef2aa112", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002664", "prompt": "Evaluate: -9559 + (-87305) - (2739 / (-5701) + (-7197))", "solution_steps": ["Add: -9559 + (-87305) = -96864", "Divide: 2739 / (-5701) = -2739/5701", "Add: -2739/5701 + (-7197) = -41032836/5701", "Subtract: -96864 - (-41032836/5701) = -511188828/5701"], "final_answer": "-511188828/5701", "answer_type": "rational", "kind": "expression", "math_text": "-9559 + (-87305) - (2739 / (-5701) + (-7197))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9559, \"b\": -87305, \"c\": 2739, \"d\": -5701, \"e\": -7197}", "seed": "5315186366481007898", "semantic_fingerprint": "sha256:9da0c1b350e60f6ea5e108bfe83c0730bb91fa51f132ff80ae74932d118995ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002665", "prompt": "Compute: 1727 + (-2774 - (1129 * (-8097) + (-37754) * (-7389)))", "solution_steps": ["Multiply: 1129 * (-8097) = -9141513", "Multiply: -37754 * (-7389) = 278964306", "Add: -9141513 + 278964306 = 269822793", "Subtract: -2774 - 269822793 = -269825567", "Add: 1727 + (-269825567) = -269823840"], "final_answer": "-269823840", "answer_type": "integer", "kind": "expression", "math_text": "1727 + (-2774 - (1129 * (-8097) + (-37754) * (-7389)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (+ (* n n) (* n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1727, \"b\": -2774, \"c\": 1129, \"d\": -8097, \"e\": -37754, \"f\": -7389}", "seed": "4499467859955352653", "semantic_fingerprint": "sha256:4585b40096ef255a76379443b36879a9c2cb89119e5ffe4b967c21be9105e66a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002666", "prompt": "Solve the equation x - 9803 = -19x - 94087 for x.", "solution_steps": ["Add 19x to both sides: 20x - 9803 = -94087", "Add 9803 to both sides: 20x = -84284", "Divide both sides by 20: x = -21071/5"], "final_answer": "-21071/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9803 = -19x - 94087", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9803, \"b\": -19, \"c\": 94087}", "seed": "3929759521743818264", "semantic_fingerprint": "sha256:bfdfb87e8b9a54837edd66646f3ff7f52dd6155dca2cd8aac2472572d3adbcb2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002667", "prompt": "Compute: -1965 - (-6550) * (-5571) / (-2763)", "solution_steps": ["Multiply: -6550 * (-5571) = 36490050", "Divide: 36490050 / (-2763) = -4054450/307", "Subtract: -1965 - (-4054450/307) = 3451195/307"], "final_answer": "3451195/307", "answer_type": "rational", "kind": "expression", "math_text": "-1965 - (-6550) * (-5571) / (-2763)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1965, \"b\": -6550, \"c\": -5571, \"d\": -2763}", "seed": "6154575290541861782", "semantic_fingerprint": "sha256:1b7d1b99aa7fbc6ced9d41fecd7f05b92be6e5310f9011d022339cfb17f58633", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002668", "prompt": "Compute: 7972 - 8562", "solution_steps": ["Subtract: 7972 - 8562 = -590"], "final_answer": "-590", "answer_type": "integer", "kind": "expression", "math_text": "7972 - 8562", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7972, \"b\": 8562}", "seed": "16247722837509849737", "semantic_fingerprint": "sha256:213b90e7c96564481841f3e2394b49606ed45ebfb8ad2d6b208f7d4f2d62d780", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002669", "prompt": "Solve the equation 27x = x - 4732 for x.", "solution_steps": ["Subtract x from both sides: 26x = -4732", "Divide both sides by 26: x = -182"], "final_answer": "-182", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = x - 4732", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -4732, \"x\": -182}", "seed": "17406881803057030529", "semantic_fingerprint": "sha256:5985c388669d5576ff1345371a06504b55b1eeacd480e4a4335712b095ce79ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002670", "prompt": "Evaluate: -1431 - (-9765) * (6159 + (-1622)) - (-67474)", "solution_steps": ["Add: 6159 + (-1622) = 4537", "Multiply: -9765 * 4537 = -44303805", "Subtract: -1431 - (-44303805) = 44302374", "Subtract: 44302374 - (-67474) = 44369848"], "final_answer": "44369848", "answer_type": "integer", "kind": "expression", "math_text": "-1431 - (-9765) * (6159 + (-1622)) - (-67474)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1431, \"b\": -9765, \"c\": 6159, \"d\": -1622, \"e\": -67474}", "seed": "8092762463554188750", "semantic_fingerprint": "sha256:d24c379b82b2abeb4d2402e311355df40128441d4eaef729a0a53a078d3020a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002671", "prompt": "What is 20620 * (-59122 + (-8177 + (-94167) - (-7619) * (-5920)))?", "solution_steps": ["Add: -8177 + (-94167) = -102344", "Multiply: -7619 * (-5920) = 45104480", "Subtract: -102344 - 45104480 = -45206824", "Add: -59122 + (-45206824) = -45265946", "Multiply: 20620 * (-45265946) = -933383806520"], "final_answer": "-933383806520", "answer_type": "integer", "kind": "expression", "math_text": "20620 * (-59122 + (-8177 + (-94167) - (-7619) * (-5920)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- (+ n n) (* n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20620, \"b\": -59122, \"c\": -8177, \"d\": -94167, \"e\": -7619, \"f\": -5920}", "seed": "17621771290789475516", "semantic_fingerprint": "sha256:9e14fed6361628b589d9af58c81eef600a0f4777dcf8b43bcd3ffd023eb9898d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002672", "prompt": "What is -45851 * (3223 - (6828 - 22517))?", "solution_steps": ["Subtract: 6828 - 22517 = -15689", "Subtract: 3223 - (-15689) = 18912", "Multiply: -45851 * 18912 = -867134112"], "final_answer": "-867134112", "answer_type": "integer", "kind": "expression", "math_text": "-45851 * (3223 - (6828 - 22517))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45851, \"b\": 3223, \"c\": 6828, \"d\": 22517}", "seed": "4152109495042338688", "semantic_fingerprint": "sha256:3e7b762f722cb1af35a6c7b1a83a4fdf87ef430886430f595a572a55e515e2ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002673", "prompt": "Calculate: -5263 - (1937 / 8730 - (-4471)) + (-18493)", "solution_steps": ["Divide: 1937 / 8730 = 1937/8730", "Subtract: 1937/8730 - (-4471) = 39033767/8730", "Subtract: -5263 - 39033767/8730 = -84979757/8730", "Add: -84979757/8730 + (-18493) = -246423647/8730"], "final_answer": "-246423647/8730", "answer_type": "rational", "kind": "expression", "math_text": "-5263 - (1937 / 8730 - (-4471)) + (-18493)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5263, \"b\": 1937, \"c\": 8730, \"d\": -4471, \"e\": -18493}", "seed": "5974082958654326606", "semantic_fingerprint": "sha256:83adbc487d5d9b827a4600d110f1eaeb1ff218a99677453747d0827a7907cb04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002674", "prompt": "What is -71613 + (-11425) * (-1378)?", "solution_steps": ["Multiply: -11425 * (-1378) = 15743650", "Add: -71613 + 15743650 = 15672037"], "final_answer": "15672037", "answer_type": "integer", "kind": "expression", "math_text": "-71613 + (-11425) * (-1378)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71613, \"b\": -11425, \"c\": -1378}", "seed": "6467610656568348228", "semantic_fingerprint": "sha256:aaece6989b1435e0b0df6762d3540c2305c0512ffad64014c4a9df37dc4d152f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002675", "prompt": "Evaluate: 4014 + (-2476) / (-3205)", "solution_steps": ["Divide: -2476 / (-3205) = 2476/3205", "Add: 4014 + 2476/3205 = 12867346/3205"], "final_answer": "12867346/3205", "answer_type": "rational", "kind": "expression", "math_text": "4014 + (-2476) / (-3205)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4014, \"b\": -2476, \"c\": -3205}", "seed": "3724734590687351321", "semantic_fingerprint": "sha256:7c6b49fc4b3cbcc144f76b85ed7f118da7193bca8d0ac808883e45f90a3511df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002676", "prompt": "What is 3760 - (-5052 + 7233)?", "solution_steps": ["Add: -5052 + 7233 = 2181", "Subtract: 3760 - 2181 = 1579"], "final_answer": "1579", "answer_type": "integer", "kind": "expression", "math_text": "3760 - (-5052 + 7233)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3760, \"b\": -5052, \"c\": 7233}", "seed": "164261753994874187", "semantic_fingerprint": "sha256:b428de74ecc7aa2b92cccece1d80963f72d99b81d4cd0e1f421931859c506c56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002677", "prompt": "Solve for x: 21(x - 55372) = x + 75812", "solution_steps": ["Expand: 21x - 1162812 = x + 75812", "Subtract x from both sides: 20x - 1162812 = 75812", "Add 1162812 to both sides: 20x = 1238624", "Divide both sides by 20: x = 309656/5"], "final_answer": "309656/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 55372) = x + 75812", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 55372, \"c\": 75812}", "seed": "8035188298674831347", "semantic_fingerprint": "sha256:a1e689ec87db1fb3deee3ab8925a51586cc9057c6fc02bdab155bc5742f8eccf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002678", "prompt": "Calculate: 6657 * (-5283) / (-3626)", "solution_steps": ["Multiply: 6657 * (-5283) = -35168931", "Divide: -35168931 / (-3626) = 5024133/518"], "final_answer": "5024133/518", "answer_type": "rational", "kind": "expression", "math_text": "6657 * (-5283) / (-3626)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6657, \"b\": -5283, \"c\": -3626}", "seed": "12011912597848517570", "semantic_fingerprint": "sha256:5cb09300a381c25774d1556badde916d306db99e5092ce494235a57dd00e7435", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002679", "prompt": "What is -8736 * (-93451 + (57394 + 24960))?", "solution_steps": ["Add: 57394 + 24960 = 82354", "Add: -93451 + 82354 = -11097", "Multiply: -8736 * (-11097) = 96943392"], "final_answer": "96943392", "answer_type": "integer", "kind": "expression", "math_text": "-8736 * (-93451 + (57394 + 24960))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8736, \"b\": -93451, \"c\": 57394, \"d\": 24960}", "seed": "7120756191865394662", "semantic_fingerprint": "sha256:8890a7a589bc966297936acf3dfca4714c4120631635fd10a5df4ab557a5eab3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002680", "prompt": "Solve the equation -25x + 5016 = 19x for x.", "solution_steps": ["Subtract 19x from both sides: -44x + 5016 = 0", "Subtract 5016 from both sides: -44x = -5016", "Divide both sides by -44: x = 114"], "final_answer": "114", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x + 5016 = 19x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 19, \"d\": 5016, \"x\": 114}", "seed": "6901705312939964459", "semantic_fingerprint": "sha256:0bd53a1701e4055cf15c51cdc759ac0b83cee3cc7317707af9558375df3e62f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002681", "prompt": "What is 15072 * 8645 / (-86841)?", "solution_steps": ["Multiply: 15072 * 8645 = 130297440", "Divide: 130297440 / (-86841) = -43432480/28947"], "final_answer": "-43432480/28947", "answer_type": "rational", "kind": "expression", "math_text": "15072 * 8645 / (-86841)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15072, \"b\": 8645, \"c\": -86841}", "seed": "18171871983815154902", "semantic_fingerprint": "sha256:97d26c39bbf485ca66718eac18541a355189c1900ccf560583f590f5548d3951", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002682", "prompt": "Solve for x: 26x - 79603 = -82671", "solution_steps": ["Add 79603 to both sides: 26x = -3068", "Divide both sides by 26: x = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x - 79603 = -82671", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 79603, \"d\": -82671, \"x\": -118}", "seed": "13203068135442559318", "semantic_fingerprint": "sha256:518ea05a31deca2ac519c06986d19d8f728aa90de7a6a4ff055184c42aae05a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002683", "prompt": "What is -3234 - (5322 + (-77183)) / 9752 + (-3791)?", "solution_steps": ["Add: 5322 + (-77183) = -71861", "Divide: -71861 / 9752 = -71861/9752", "Subtract: -3234 - (-71861/9752) = -31466107/9752", "Add: -31466107/9752 + (-3791) = -68435939/9752"], "final_answer": "-68435939/9752", "answer_type": "rational", "kind": "expression", "math_text": "-3234 - (5322 + (-77183)) / 9752 + (-3791)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3234, \"b\": 5322, \"c\": -77183, \"d\": 9752, \"e\": -3791}", "seed": "15911565585083003808", "semantic_fingerprint": "sha256:ba1a42dde14401c7f2c4c898768680ec1d86c1536418676e7e3867294177f418", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002684", "prompt": "Evaluate: -21289 * (-5554) + (-63539) * ((-36713 - (-39968)) / 8026)", "solution_steps": ["Multiply: -21289 * (-5554) = 118239106", "Subtract: -36713 - (-39968) = 3255", "Divide: 3255 / 8026 = 3255/8026", "Multiply: -63539 * (3255/8026) = -206819445/8026", "Add: 118239106 + (-206819445/8026) = 948780245311/8026"], "final_answer": "948780245311/8026", "answer_type": "rational", "kind": "expression", "math_text": "-21289 * (-5554) + (-63539) * ((-36713 - (-39968)) / 8026)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* n (/ (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21289, \"b\": -5554, \"c\": -63539, \"d\": -36713, \"e\": -39968, \"f\": 8026}", "seed": "153893200678865698", "semantic_fingerprint": "sha256:fdab9d3b3d69087ddb8dcabb87706927fa2ddf9324bc30e9ae580472ee5bcb41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002685", "prompt": "What is (-7309 + 6874) * (-7343) * (-16669)?", "solution_steps": ["Add: -7309 + 6874 = -435", "Multiply: -435 * (-7343) = 3194205", "Multiply: 3194205 * (-16669) = -53244203145"], "final_answer": "-53244203145", "answer_type": "integer", "kind": "expression", "math_text": "(-7309 + 6874) * (-7343) * (-16669)", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7309, \"b\": 6874, \"c\": -7343, \"d\": -16669}", "seed": "1842928579286710153", "semantic_fingerprint": "sha256:04f6a55e3010b0be750a927a5a1625fd343c7118ca9f541cc4c1fd9b7f86f7b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002686", "prompt": "Find x: x = 19(x + 1899) - 34641", "solution_steps": ["Expand: x = 19x + 36081 - 34641", "Combine constants: x = 19x + 1440", "Subtract 19x from both sides: -18x = 1440", "Divide both sides by -18: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 19(x + 1899) - 34641", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1899, \"d\": -34641, \"x\": -80}", "seed": "13427083651401171539", "semantic_fingerprint": "sha256:e882bf719d985ae61555a1d952924131834d8987e7b4db283d0935c0f832026d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002687", "prompt": "Compute: -1779 * (-5284)", "solution_steps": ["Multiply: -1779 * (-5284) = 9400236"], "final_answer": "9400236", "answer_type": "integer", "kind": "expression", "math_text": "-1779 * (-5284)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1779, \"b\": -5284}", "seed": "13124487009551136069", "semantic_fingerprint": "sha256:d2a3708ad52e1e5fb79def70e03afc1e03858afc959ae510d6d2993f9517bbe4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002688", "prompt": "Evaluate: 8178 + (-69151 + 48122)", "solution_steps": ["Add: -69151 + 48122 = -21029", "Add: 8178 + (-21029) = -12851"], "final_answer": "-12851", "answer_type": "integer", "kind": "expression", "math_text": "8178 + (-69151 + 48122)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8178, \"b\": -69151, \"c\": 48122}", "seed": "16997826595794184829", "semantic_fingerprint": "sha256:fb3751fdcdc9ecb3d2b9a02570a483894f1fb9b6d341f05d65219aa24066617a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002689", "prompt": "What value of x satisfies 19(x + 8100) - 81809 = -20(x - 4623) - 22514?", "solution_steps": ["Expand: 19x + 153900 - 81809 = -20(x - 4623) - 22514", "Expand: 19x + 153900 - 81809 = -20x + 92460 - 22514", "Combine constants: 19x + 72091 = -20x + 92460 - 22514", "Combine constants: 19x + 72091 = -20x + 69946", "Add 20x to both sides: 39x + 72091 = 69946", "Subtract 72091 from both sides: 39x = -2145", "Divide both sides by 39: x = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 8100) - 81809 = -20(x - 4623) - 22514", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 8100, \"c\": 81809, \"d\": -20, \"e\": 4623, \"g\": -22514, \"x\": -55}", "seed": "9745563272160629723", "semantic_fingerprint": "sha256:b03a0ba25690a259f07eaa24e1918efe39b7212cf6d4a2b31e40a7797b85f6a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002690", "prompt": "Solve the equation -21x - 3520 = x for x.", "solution_steps": ["Subtract x from both sides: -22x - 3520 = 0", "Add 3520 to both sides: -22x = 3520", "Divide both sides by -22: x = -160"], "final_answer": "-160", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x - 3520 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": -3520, \"x\": -160}", "seed": "5758504548337872618", "semantic_fingerprint": "sha256:0c4f164f8f8ceed8d1862c1c57a363ce42ee63f92b68b3d9888c9db92fa8d12a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002691", "prompt": "What is 5840 + (8951 + (-6020)) + 5319?", "solution_steps": ["Add: 8951 + (-6020) = 2931", "Add: 5840 + 2931 = 8771", "Add: 8771 + 5319 = 14090"], "final_answer": "14090", "answer_type": "integer", "kind": "expression", "math_text": "5840 + (8951 + (-6020)) + 5319", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5840, \"b\": 8951, \"c\": -6020, \"d\": 5319}", "seed": "13783666050493913166", "semantic_fingerprint": "sha256:007599ecacb54272f38ebd8c7e46a0d3f13d853b22e798dbc446a8ae1a79f1a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002692", "prompt": "Compute: (-11698 + (-5386)) / (-8178) + 9356 + 8782", "solution_steps": ["Add: -11698 + (-5386) = -17084", "Divide: -17084 / (-8178) = 8542/4089", "Add: 8542/4089 + 9356 = 38265226/4089", "Add: 38265226/4089 + 8782 = 74174824/4089"], "final_answer": "74174824/4089", "answer_type": "rational", "kind": "expression", "math_text": "(-11698 + (-5386)) / (-8178) + 9356 + 8782", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -11698, \"b\": -5386, \"c\": -8178, \"d\": 9356, \"e\": 8782}", "seed": "15251899142613677429", "semantic_fingerprint": "sha256:a6b173ac1386cd22a4e1e7f6f1080ecb2600a85661beef85752b3529b320a940", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002693", "prompt": "What value of x satisfies 40(x - 99347) = 23x?", "solution_steps": ["Expand: 40x - 3973880 = 23x", "Subtract 23x from both sides: 17x - 3973880 = 0", "Add 3973880 to both sides: 17x = 3973880", "Divide both sides by 17: x = 3973880/17"], "final_answer": "3973880/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 99347) = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 99347, \"c\": 23}", "seed": "15050691003602828322", "semantic_fingerprint": "sha256:14a4f885e7245cb6559c50009cb6ba15c0a365323ed51538032038c24adf0b37", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002694", "prompt": "Solve for x: -32x - 1506 = -21(x - 53632) + 9524", "solution_steps": ["Expand: -32x - 1506 = -21x + 1126272 + 9524", "Combine constants: -32x - 1506 = -21x + 1135796", "Add 21x to both sides: -11x - 1506 = 1135796", "Add 1506 to both sides: -11x = 1137302", "Divide both sides by -11: x = -1137302/11"], "final_answer": "-1137302/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x - 1506 = -21(x - 53632) + 9524", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 1506, \"c\": -21, \"d\": 53632, \"e\": 9524}", "seed": "18275220381742851382", "semantic_fingerprint": "sha256:57c128cb9d00944f68ee4981cf23ae08f13eb749e0974741869ca1fac43fe771", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002695", "prompt": "Evaluate: 42373 / 86793 - (-1297)", "solution_steps": ["Divide: 42373 / 86793 = 42373/86793", "Subtract: 42373/86793 - (-1297) = 112612894/86793"], "final_answer": "112612894/86793", "answer_type": "rational", "kind": "expression", "math_text": "42373 / 86793 - (-1297)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42373, \"b\": 86793, \"c\": -1297}", "seed": "1583838469009184999", "semantic_fingerprint": "sha256:5b9b6042302c7b0ffe085e3edcdd5058d602997120ad36a3f0858674ffbac668", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002696", "prompt": "Evaluate: 9785 - (-76022) / (-6645) + (6409 - 88475)", "solution_steps": ["Divide: -76022 / (-6645) = 76022/6645", "Subtract: 9785 - 76022/6645 = 64945303/6645", "Subtract: 6409 - 88475 = -82066", "Add: 64945303/6645 + (-82066) = -480383267/6645"], "final_answer": "-480383267/6645", "answer_type": "rational", "kind": "expression", "math_text": "9785 - (-76022) / (-6645) + (6409 - 88475)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9785, \"b\": -76022, \"c\": -6645, \"d\": 6409, \"e\": 88475}", "seed": "136852022026826025", "semantic_fingerprint": "sha256:9f8a34fe22f3ba78d423a28adcea582d60e56117f89affd5a7fb17376e3f38f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002697", "prompt": "Solve the equation 14(x + 97358) + 69812 = 20(x + 53318) + 7113 for x.", "solution_steps": ["Expand: 14x + 1363012 + 69812 = 20(x + 53318) + 7113", "Expand: 14x + 1363012 + 69812 = 20x + 1066360 + 7113", "Combine constants: 14x + 1432824 = 20x + 1066360 + 7113", "Combine constants: 14x + 1432824 = 20x + 1073473", "Subtract 20x from both sides: -6x + 1432824 = 1073473", "Subtract 1432824 from both sides: -6x = -359351", "Divide both sides by -6: x = 359351/6"], "final_answer": "359351/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 97358) + 69812 = 20(x + 53318) + 7113", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 97358, \"c\": 69812, \"d\": 20, \"e\": 53318, \"f\": 7113}", "seed": "11820977509242915207", "semantic_fingerprint": "sha256:accc54b87b651c71154475477e7119adfee285bfd3b2145bc7c8dcb5ba1f7473", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002698", "prompt": "What is (8327 - (-84765)) * 6949 - (-36775 - 80343)?", "solution_steps": ["Subtract: 8327 - (-84765) = 93092", "Multiply: 93092 * 6949 = 646896308", "Subtract: -36775 - 80343 = -117118", "Subtract: 646896308 - (-117118) = 647013426"], "final_answer": "647013426", "answer_type": "integer", "kind": "expression", "math_text": "(8327 - (-84765)) * 6949 - (-36775 - 80343)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8327, \"b\": -84765, \"c\": 6949, \"d\": -36775, \"e\": 80343}", "seed": "561442194703484126", "semantic_fingerprint": "sha256:2a44a800509c59b34661a6d187fd30b7e388792db85d0419d4e5dd3b087989d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002699", "prompt": "Find x: 39(x - 3293) + 8523 = -19(x + 7208) + 21572", "solution_steps": ["Expand: 39x - 128427 + 8523 = -19(x + 7208) + 21572", "Expand: 39x - 128427 + 8523 = -19x - 136952 + 21572", "Combine constants: 39x - 119904 = -19x - 136952 + 21572", "Combine constants: 39x - 119904 = -19x - 115380", "Add 19x to both sides: 58x - 119904 = -115380", "Add 119904 to both sides: 58x = 4524", "Divide both sides by 58: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x - 3293) + 8523 = -19(x + 7208) + 21572", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 3293, \"c\": 8523, \"d\": -19, \"e\": 7208, \"g\": 21572, \"x\": 78}", "seed": "2636651710876073420", "semantic_fingerprint": "sha256:d9a7c2de47ca5ca75f8dbe815ab72a8ea8ece907731a7515d0e078e86ded0129", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002700", "prompt": "What value of x satisfies -30(x - 59201) - 39140 = 34x - 4185?", "solution_steps": ["Expand: -30x + 1776030 - 39140 = 34x - 4185", "Combine constants: -30x + 1736890 = 34x - 4185", "Subtract 34x from both sides: -64x + 1736890 = -4185", "Subtract 1736890 from both sides: -64x = -1741075", "Divide both sides by -64: x = 1741075/64"], "final_answer": "1741075/64", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 59201) - 39140 = 34x - 4185", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 59201, \"c\": 39140, \"d\": 34, \"e\": 4185}", "seed": "10404156337614851658", "semantic_fingerprint": "sha256:20b67f6e0bef8463fb6a431bfd3c015335dc1fb78928120a09fc447250b6cffe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002701", "prompt": "Calculate: 55108 + (-1793 - (-24577))", "solution_steps": ["Subtract: -1793 - (-24577) = 22784", "Add: 55108 + 22784 = 77892"], "final_answer": "77892", "answer_type": "integer", "kind": "expression", "math_text": "55108 + (-1793 - (-24577))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55108, \"b\": -1793, \"c\": -24577}", "seed": "4179910578085821450", "semantic_fingerprint": "sha256:e15bfd5348670fce7bd00a6ef21bc1fc6f95ccf524800aad141853de9dd3bbfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002702", "prompt": "What is (4331 - 38264) * (15454 + 98770)?", "solution_steps": ["Subtract: 4331 - 38264 = -33933", "Add: 15454 + 98770 = 114224", "Multiply: -33933 * 114224 = -3875962992"], "final_answer": "-3875962992", "answer_type": "integer", "kind": "expression", "math_text": "(4331 - 38264) * (15454 + 98770)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4331, \"b\": 38264, \"c\": 15454, \"d\": 98770}", "seed": "6600553180195187677", "semantic_fingerprint": "sha256:62609d91d18d9cda2778f46d8a3866e413580bd6b9e777943d263aca56c5ac51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002703", "prompt": "Solve for x: 19x = 37x + 2358", "solution_steps": ["Subtract 37x from both sides: -18x = 2358", "Divide both sides by -18: x = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = 37x + 2358", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 37, \"d\": 2358, \"x\": -131}", "seed": "16964355394672131199", "semantic_fingerprint": "sha256:c08fc597f832092b81ba098b4509b53b9a8a3046f8c6f12451cf3f2a0f242115", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002704", "prompt": "Solve for x: 15(x + 3719) - 55155 = x", "solution_steps": ["Expand: 15x + 55785 - 55155 = x", "Combine constants: 15x + 630 = x", "Subtract x from both sides: 14x + 630 = 0", "Subtract 630 from both sides: 14x = -630", "Divide both sides by 14: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 3719) - 55155 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3719, \"d\": -55155, \"x\": -45}", "seed": "8970033449689430865", "semantic_fingerprint": "sha256:5e333db620bb5242f79b34659f564ff7ac644b2b2ed0de1b8c80f0dc27259457", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002705", "prompt": "Evaluate: -7848 - (-1271) - 6951 * (-3538) + (-49232) + (-76409)", "solution_steps": ["Subtract: -7848 - (-1271) = -6577", "Multiply: 6951 * (-3538) = -24592638", "Subtract: -6577 - (-24592638) = 24586061", "Add: 24586061 + (-49232) = 24536829", "Add: 24536829 + (-76409) = 24460420"], "final_answer": "24460420", "answer_type": "integer", "kind": "expression", "math_text": "-7848 - (-1271) - 6951 * (-3538) + (-49232) + (-76409)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (- n n) (* n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7848, \"b\": -1271, \"c\": 6951, \"d\": -3538, \"e\": -49232, \"f\": -76409}", "seed": "2015307148683571622", "semantic_fingerprint": "sha256:e09a30435309e3ed9a49c2ab2790b5adfe1c99c5a1a85bf2eaae5473ab678616", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002706", "prompt": "What is (4797 + (-4799)) * (-76343)?", "solution_steps": ["Add: 4797 + (-4799) = -2", "Multiply: -2 * (-76343) = 152686"], "final_answer": "152686", "answer_type": "integer", "kind": "expression", "math_text": "(4797 + (-4799)) * (-76343)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4797, \"b\": -4799, \"c\": -76343}", "seed": "1084329516704023026", "semantic_fingerprint": "sha256:aa48e2a72f4a76522f08aacc13efcfa7209c1d67572a674caac67d100af073a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002707", "prompt": "Compute: -4364 - 9081 * (-1121)", "solution_steps": ["Multiply: 9081 * (-1121) = -10179801", "Subtract: -4364 - (-10179801) = 10175437"], "final_answer": "10175437", "answer_type": "integer", "kind": "expression", "math_text": "-4364 - 9081 * (-1121)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4364, \"b\": 9081, \"c\": -1121}", "seed": "16198260043912237002", "semantic_fingerprint": "sha256:49d68b2b9520ea6464fb8c908f2e5be3cee800ef6d4c9f4fc859e85717c23e2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002708", "prompt": "Solve for x: 17(x - 48751) = 24(x - 81559)", "solution_steps": ["Expand: 17x - 828767 = 24(x - 81559)", "Expand: 17x - 828767 = 24x - 1957416", "Subtract 24x from both sides: -7x - 828767 = -1957416", "Add 828767 to both sides: -7x = -1128649", "Divide both sides by -7: x = 1128649/7"], "final_answer": "1128649/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 48751) = 24(x - 81559)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 48751, \"c\": 24, \"d\": 81559}", "seed": "8339902140638757878", "semantic_fingerprint": "sha256:d91c3ee1281195022f368281d6b3f9b7d1465f2baee9631031dec9d923b6d9c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002709", "prompt": "Evaluate: -53116 * (85569 + (-8815))", "solution_steps": ["Add: 85569 + (-8815) = 76754", "Multiply: -53116 * 76754 = -4076865464"], "final_answer": "-4076865464", "answer_type": "integer", "kind": "expression", "math_text": "-53116 * (85569 + (-8815))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53116, \"b\": 85569, \"c\": -8815}", "seed": "6511510237423591849", "semantic_fingerprint": "sha256:25a3e173945866b096321cf573bdb8a47a2031d614bc889960bd079e2f292bc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002710", "prompt": "Evaluate: 4858 * 8119 + 7221", "solution_steps": ["Multiply: 4858 * 8119 = 39442102", "Add: 39442102 + 7221 = 39449323"], "final_answer": "39449323", "answer_type": "integer", "kind": "expression", "math_text": "4858 * 8119 + 7221", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4858, \"b\": 8119, \"c\": 7221}", "seed": "7625789077308831903", "semantic_fingerprint": "sha256:664aa1013eac9099979a736acb9bbba8cc1b0e0892806f0014b46a94a6bbbbbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002711", "prompt": "What value of x satisfies -14x = -37(x - 41967)?", "solution_steps": ["Expand: -14x = -37x + 1552779", "Add 37x to both sides: 23x = 1552779", "Divide both sides by 23: x = 1552779/23"], "final_answer": "1552779/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x = -37(x - 41967)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": -37, \"c\": 41967}", "seed": "7428458835978742762", "semantic_fingerprint": "sha256:13aee532b755164800301b96fbb0c2bd8d50189650df2b74edbfcc1c18ba67da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002712", "prompt": "Evaluate: -9403 - 35528 - (-70425) * (-4086)", "solution_steps": ["Subtract: -9403 - 35528 = -44931", "Multiply: -70425 * (-4086) = 287756550", "Subtract: -44931 - 287756550 = -287801481"], "final_answer": "-287801481", "answer_type": "integer", "kind": "expression", "math_text": "-9403 - 35528 - (-70425) * (-4086)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9403, \"b\": 35528, \"c\": -70425, \"d\": -4086}", "seed": "7326092196670430884", "semantic_fingerprint": "sha256:a3d5abf21eaf9a3bece894cc6d6fe0829c3c458d6e91285bc469ccd6f8cf530d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002713", "prompt": "Compute: -8437 / (-7194)", "solution_steps": ["Divide: -8437 / (-7194) = 767/654"], "final_answer": "767/654", "answer_type": "rational", "kind": "expression", "math_text": "-8437 / (-7194)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8437, \"b\": -7194}", "seed": "17558256132160385976", "semantic_fingerprint": "sha256:b65a1aafce3adb7d56889ec66145758dc77c13dfbf61085887b62c99cece7aba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002714", "prompt": "Calculate: -32492 - 6470 + (-39763) / 4063", "solution_steps": ["Subtract: -32492 - 6470 = -38962", "Divide: -39763 / 4063 = -2339/239", "Add: -38962 + (-2339/239) = -9314257/239"], "final_answer": "-9314257/239", "answer_type": "rational", "kind": "expression", "math_text": "-32492 - 6470 + (-39763) / 4063", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32492, \"b\": 6470, \"c\": -39763, \"d\": 4063}", "seed": "15327440196192941228", "semantic_fingerprint": "sha256:990ccc4cb98097ede527d4884299b924e26b7e6b2eedb130ac898cf224fe443f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002715", "prompt": "Solve the equation 27x - 28114 = -33271 for x.", "solution_steps": ["Add 28114 to both sides: 27x = -5157", "Divide both sides by 27: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 28114 = -33271", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 28114, \"d\": -33271, \"x\": -191}", "seed": "8866561315118960485", "semantic_fingerprint": "sha256:fa8bde00a7eb32cc04050da339960c877a810b1b76d6bb8c75cb074213615b66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002716", "prompt": "Find x: 32(x - 3666) - 3411 = -4045", "solution_steps": ["Expand: 32x - 117312 - 3411 = -4045", "Combine constants: 32x - 120723 = -4045", "Add 120723 to both sides: 32x = 116678", "Divide both sides by 32: x = 58339/16"], "final_answer": "58339/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 3666) - 3411 = -4045", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3666, \"c\": 3411, \"d\": -4045}", "seed": "1008050162356302598", "semantic_fingerprint": "sha256:a9c1f6c7596d2132279ac5ce143788a801977c71a645e3ccee4efddb6d3876d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002717", "prompt": "What value of x satisfies 36x - 6335 = x?", "solution_steps": ["Subtract x from both sides: 35x - 6335 = 0", "Add 6335 to both sides: 35x = 6335", "Divide both sides by 35: x = 181"], "final_answer": "181", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x - 6335 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": -6335, \"x\": 181}", "seed": "5920859769095663785", "semantic_fingerprint": "sha256:76b304ef21315c3db4d7645cdc63901a06b17868471a7d669edf1f050de050cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002718", "prompt": "Compute: -5778 * (-20284 / 3355)", "solution_steps": ["Divide: -20284 / 3355 = -1844/305", "Multiply: -5778 * (-1844/305) = 10654632/305"], "final_answer": "10654632/305", "answer_type": "rational", "kind": "expression", "math_text": "-5778 * (-20284 / 3355)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5778, \"b\": -20284, \"c\": 3355}", "seed": "16119031940271443519", "semantic_fingerprint": "sha256:0669f63c0dbd91b407dd7d1626f8762729578536c286b0fccae5d9c74e69f90b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002719", "prompt": "What value of x satisfies -35(x + 1856) = x?", "solution_steps": ["Expand: -35x - 64960 = x", "Subtract x from both sides: -36x - 64960 = 0", "Add 64960 to both sides: -36x = 64960", "Divide both sides by -36: x = -16240/9"], "final_answer": "-16240/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 1856) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 1856}", "seed": "17171575419826699415", "semantic_fingerprint": "sha256:f8be126552472147372d36fede8b62f793bac7aaeaeb5ae4652dc1cc46b271a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002720", "prompt": "Compute: 99481 / (-2567) * (-2691)", "solution_steps": ["Divide: 99481 / (-2567) = -99481/2567", "Multiply: (-99481/2567) * (-2691) = 267703371/2567"], "final_answer": "267703371/2567", "answer_type": "rational", "kind": "expression", "math_text": "99481 / (-2567) * (-2691)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99481, \"b\": -2567, \"c\": -2691}", "seed": "9353512926996255118", "semantic_fingerprint": "sha256:180ca5de21379fef069f469bfee554af718f7853f7754f3691e2d439c72d880b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002721", "prompt": "Calculate: 37366 - (-38477) * 4502", "solution_steps": ["Multiply: -38477 * 4502 = -173223454", "Subtract: 37366 - (-173223454) = 173260820"], "final_answer": "173260820", "answer_type": "integer", "kind": "expression", "math_text": "37366 - (-38477) * 4502", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37366, \"b\": -38477, \"c\": 4502}", "seed": "3749237296542918787", "semantic_fingerprint": "sha256:3e0ece350bf63017c97f5ace6892d6378fad8ac86278a47cbaf4e8017fe61eef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002722", "prompt": "Evaluate: 9933 / (-67152 / 11814)", "solution_steps": ["Divide: -67152 / 11814 = -11192/1969", "Divide: 9933 / (-11192/1969) = -19558077/11192"], "final_answer": "-19558077/11192", "answer_type": "rational", "kind": "expression", "math_text": "9933 / (-67152 / 11814)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9933, \"b\": -67152, \"c\": 11814}", "seed": "14908995054625900588", "semantic_fingerprint": "sha256:9bdaba622024af2ac22bf10ab35edb1709d515fc8a8c7da1f267d7d8e1fcaf94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002723", "prompt": "Compute: 51094 / (-3998)", "solution_steps": ["Divide: 51094 / (-3998) = -25547/1999"], "final_answer": "-25547/1999", "answer_type": "rational", "kind": "expression", "math_text": "51094 / (-3998)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 51094, \"b\": -3998}", "seed": "13090433744019261536", "semantic_fingerprint": "sha256:90bbf039478dc01ec7122ad4ca7bd13758e33dad68f1a39cb2be50dc3508516a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002724", "prompt": "What value of x satisfies x = 30x + 3770?", "solution_steps": ["Subtract 30x from both sides: -29x = 3770", "Divide both sides by -29: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 30x + 3770", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": 3770, \"x\": -130}", "seed": "11380310239084486467", "semantic_fingerprint": "sha256:0619b0021f5d03b8b17a61111484766d5c91ed3ee6e53c1c8cff6f7555488f0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002725", "prompt": "Calculate: -23652 / 7354 + (-6847) * 6580", "solution_steps": ["Divide: -23652 / 7354 = -11826/3677", "Multiply: -6847 * 6580 = -45053260", "Add: -11826/3677 + (-45053260) = -165660848846/3677"], "final_answer": "-165660848846/3677", "answer_type": "rational", "kind": "expression", "math_text": "-23652 / 7354 + (-6847) * 6580", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23652, \"b\": 7354, \"c\": -6847, \"d\": 6580}", "seed": "14308542387522108449", "semantic_fingerprint": "sha256:7353943b6f4e88870c7d7fb16b9f4a34460a8a5870a5b82178bd82c6cb3525a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002726", "prompt": "Evaluate: 8201 - (-4136 - (-7810))", "solution_steps": ["Subtract: -4136 - (-7810) = 3674", "Subtract: 8201 - 3674 = 4527"], "final_answer": "4527", "answer_type": "integer", "kind": "expression", "math_text": "8201 - (-4136 - (-7810))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8201, \"b\": -4136, \"c\": -7810}", "seed": "1954838913657354801", "semantic_fingerprint": "sha256:5051767b00dfbfdd96cbcc66131bf4660ccd5d5f8938419d555ee98f5a3a4ed0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002727", "prompt": "Evaluate: (39732 + 8686) * 5514", "solution_steps": ["Add: 39732 + 8686 = 48418", "Multiply: 48418 * 5514 = 266976852"], "final_answer": "266976852", "answer_type": "integer", "kind": "expression", "math_text": "(39732 + 8686) * 5514", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39732, \"b\": 8686, \"c\": 5514}", "seed": "13860094750459034068", "semantic_fingerprint": "sha256:70c56da8eecac8127d49f8a318405893fa4fec7777d30c671efc20acb9c5fa01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002728", "prompt": "Find x: 31(x + 6298) = 16(x + 87403) + 7519", "solution_steps": ["Expand: 31x + 195238 = 16(x + 87403) + 7519", "Expand: 31x + 195238 = 16x + 1398448 + 7519", "Combine constants: 31x + 195238 = 16x + 1405967", "Subtract 16x from both sides: 15x + 195238 = 1405967", "Subtract 195238 from both sides: 15x = 1210729", "Divide both sides by 15: x = 1210729/15"], "final_answer": "1210729/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 6298) = 16(x + 87403) + 7519", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 6298, \"c\": 16, \"d\": 87403, \"e\": 7519}", "seed": "9009559367001138188", "semantic_fingerprint": "sha256:ae95331a070ba782113f3f94eb09db2b2d3a39647c6d8ca846a479c6c5378b0a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002729", "prompt": "What value of x satisfies x + 40042 = 36(x - 37906) - 54699?", "solution_steps": ["Expand: x + 40042 = 36x - 1364616 - 54699", "Combine constants: x + 40042 = 36x - 1419315", "Subtract 36x from both sides: -35x + 40042 = -1419315", "Subtract 40042 from both sides: -35x = -1459357", "Divide both sides by -35: x = 1459357/35"], "final_answer": "1459357/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 40042 = 36(x - 37906) - 54699", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40042, \"b\": 36, \"c\": 37906, \"d\": 54699}", "seed": "14555117047838848296", "semantic_fingerprint": "sha256:2326d7f81e155e97fcca0cd098e4c956cb0035694ac849588d28fd5aaf57a002", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002730", "prompt": "Calculate: 4851 - (-4236) / (-1413)", "solution_steps": ["Divide: -4236 / (-1413) = 1412/471", "Subtract: 4851 - 1412/471 = 2283409/471"], "final_answer": "2283409/471", "answer_type": "rational", "kind": "expression", "math_text": "4851 - (-4236) / (-1413)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4851, \"b\": -4236, \"c\": -1413}", "seed": "2452233558416733531", "semantic_fingerprint": "sha256:7137569f11da03d536a147463d4c8c4e4c5ef42f45835931e233be217983b235", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002731", "prompt": "Calculate: 2027 - 1714 * 7952", "solution_steps": ["Multiply: 1714 * 7952 = 13629728", "Subtract: 2027 - 13629728 = -13627701"], "final_answer": "-13627701", "answer_type": "integer", "kind": "expression", "math_text": "2027 - 1714 * 7952", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2027, \"b\": 1714, \"c\": 7952}", "seed": "10915459246680788637", "semantic_fingerprint": "sha256:582fc8c5fc175dc5f224c2555566bd7e7b0203a4389e333631f686945a7cbecf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002732", "prompt": "Find x: x - 1600 = -19x", "solution_steps": ["Add 19x to both sides: 20x - 1600 = 0", "Add 1600 to both sides: 20x = 1600", "Divide both sides by 20: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1600 = -19x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19, \"c\": -1600, \"x\": 80}", "seed": "13915402145500637292", "semantic_fingerprint": "sha256:2304b9e7e1999526d2161851c7c29d5c4ef553c017c7f3f67d318e407091efbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002733", "prompt": "Evaluate: 17109 + (-92743 - 3600)", "solution_steps": ["Subtract: -92743 - 3600 = -96343", "Add: 17109 + (-96343) = -79234"], "final_answer": "-79234", "answer_type": "integer", "kind": "expression", "math_text": "17109 + (-92743 - 3600)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17109, \"b\": -92743, \"c\": 3600}", "seed": "13557779755730846752", "semantic_fingerprint": "sha256:c95c5ae5832f3d2c1408d748edf1bce8397bf65a037a1ba7e951b79ce1e77999", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002734", "prompt": "Solve for x: -20(x + 4477) - 3245 = 24(x - 9661) - 10755", "solution_steps": ["Expand: -20x - 89540 - 3245 = 24(x - 9661) - 10755", "Expand: -20x - 89540 - 3245 = 24x - 231864 - 10755", "Combine constants: -20x - 92785 = 24x - 231864 - 10755", "Combine constants: -20x - 92785 = 24x - 242619", "Subtract 24x from both sides: -44x - 92785 = -242619", "Add 92785 to both sides: -44x = -149834", "Divide both sides by -44: x = 74917/22"], "final_answer": "74917/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 4477) - 3245 = 24(x - 9661) - 10755", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 4477, \"c\": 3245, \"d\": 24, \"e\": 9661, \"f\": 10755}", "seed": "16986293515078861533", "semantic_fingerprint": "sha256:880660c54c7e499e5e3e83ef0f5ec64173cc19ce7702ae6155a83f6fa71f5bb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002735", "prompt": "Calculate: -6653 / 7766 - 11746 * 4506", "solution_steps": ["Divide: -6653 / 7766 = -6653/7766", "Multiply: 11746 * 4506 = 52927476", "Subtract: -6653/7766 - 52927476 = -411034785269/7766"], "final_answer": "-411034785269/7766", "answer_type": "rational", "kind": "expression", "math_text": "-6653 / 7766 - 11746 * 4506", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6653, \"b\": 7766, \"c\": 11746, \"d\": 4506}", "seed": "4263844126675127724", "semantic_fingerprint": "sha256:9d5b25c0c8a3b4443f3f4c0d1baecc436a184f8de3361a2134244bfee1a6940f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002736", "prompt": "What is (-47049 - 71483) * (-80312)?", "solution_steps": ["Subtract: -47049 - 71483 = -118532", "Multiply: -118532 * (-80312) = 9519541984"], "final_answer": "9519541984", "answer_type": "integer", "kind": "expression", "math_text": "(-47049 - 71483) * (-80312)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47049, \"b\": 71483, \"c\": -80312}", "seed": "53999786453613363", "semantic_fingerprint": "sha256:15bc25b2d618bb81cf37587783d4ebf4b6b70b811dc962a394e2f63f603d63d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002737", "prompt": "Evaluate: -6872 * (-9122 - 67229)", "solution_steps": ["Subtract: -9122 - 67229 = -76351", "Multiply: -6872 * (-76351) = 524684072"], "final_answer": "524684072", "answer_type": "integer", "kind": "expression", "math_text": "-6872 * (-9122 - 67229)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6872, \"b\": -9122, \"c\": 67229}", "seed": "3428106933192336727", "semantic_fingerprint": "sha256:988505bdbd38547e1e3499e28bb8bbd3e95776fca6b82073277c6555a07bc980", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002738", "prompt": "Compute: (-33125 + 2729) * (-68420)", "solution_steps": ["Add: -33125 + 2729 = -30396", "Multiply: -30396 * (-68420) = 2079694320"], "final_answer": "2079694320", "answer_type": "integer", "kind": "expression", "math_text": "(-33125 + 2729) * (-68420)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33125, \"b\": 2729, \"c\": -68420}", "seed": "17593718716853103526", "semantic_fingerprint": "sha256:c7d8f5d490fc7af61dee4943093f167b765b271e3f5d55579d611e86680cc26b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002739", "prompt": "Solve for x: -15x + 13289 = -37x + 13795", "solution_steps": ["Add 37x to both sides: 22x + 13289 = 13795", "Subtract 13289 from both sides: 22x = 506", "Divide both sides by 22: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x + 13289 = -37x + 13795", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 13289, \"c\": -37, \"e\": 13795, \"x\": 23}", "seed": "1023061759749832155", "semantic_fingerprint": "sha256:05fb8b367d62278d8c46a719a74139faf494b6e38972e6071133bab5c4249fdb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002740", "prompt": "What is 44165 / 2614 - 39455?", "solution_steps": ["Divide: 44165 / 2614 = 44165/2614", "Subtract: 44165/2614 - 39455 = -103091205/2614"], "final_answer": "-103091205/2614", "answer_type": "rational", "kind": "expression", "math_text": "44165 / 2614 - 39455", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44165, \"b\": 2614, \"c\": 39455}", "seed": "9761169880875417623", "semantic_fingerprint": "sha256:f4a271848bbe42ab67aa52b25063b7b056074c7fab76148ba37801ea52f1d593", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002741", "prompt": "Evaluate: 1004 * 2616 * 6878", "solution_steps": ["Multiply: 1004 * 2616 = 2626464", "Multiply: 2626464 * 6878 = 18064819392"], "final_answer": "18064819392", "answer_type": "integer", "kind": "expression", "math_text": "1004 * 2616 * 6878", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1004, \"b\": 2616, \"c\": 6878}", "seed": "7748020280820044717", "semantic_fingerprint": "sha256:5b2bda7374a7ffffbf2420c03a2f7ca9ad77577ae8a38d02eedaa00614ce17b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002742", "prompt": "Evaluate: (-4351 - 6984) * (-70788) / (-16762)", "solution_steps": ["Subtract: -4351 - 6984 = -11335", "Multiply: -11335 * (-70788) = 802381980", "Divide: 802381980 / (-16762) = -23599470/493"], "final_answer": "-23599470/493", "answer_type": "rational", "kind": "expression", "math_text": "(-4351 - 6984) * (-70788) / (-16762)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4351, \"b\": 6984, \"c\": -70788, \"d\": -16762}", "seed": "6286943565609780944", "semantic_fingerprint": "sha256:ae839ee9fed314d101b6f1febaee4448484f3b15365e20bcf695c2a737aed305", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002743", "prompt": "Compute: -88299 - 2123 + (-1628) * 5025", "solution_steps": ["Subtract: -88299 - 2123 = -90422", "Multiply: -1628 * 5025 = -8180700", "Add: -90422 + (-8180700) = -8271122"], "final_answer": "-8271122", "answer_type": "integer", "kind": "expression", "math_text": "-88299 - 2123 + (-1628) * 5025", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -88299, \"b\": 2123, \"c\": -1628, \"d\": 5025}", "seed": "15987048859791401838", "semantic_fingerprint": "sha256:d91dc227e109d77b16f87e6319514e0c09744356126720599c65b7c7b6dcad23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002744", "prompt": "What is 2312 / (-3640) * 8913?", "solution_steps": ["Divide: 2312 / (-3640) = -289/455", "Multiply: (-289/455) * 8913 = -2575857/455"], "final_answer": "-2575857/455", "answer_type": "rational", "kind": "expression", "math_text": "2312 / (-3640) * 8913", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2312, \"b\": -3640, \"c\": 8913}", "seed": "14897335125841836177", "semantic_fingerprint": "sha256:e7e492027f0e7c100bd02e44fdac1a2a53f92f741bb19002d76e28e893da6252", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002745", "prompt": "Evaluate: -8272 * 3361 / 2083", "solution_steps": ["Multiply: -8272 * 3361 = -27802192", "Divide: -27802192 / 2083 = -27802192/2083"], "final_answer": "-27802192/2083", "answer_type": "rational", "kind": "expression", "math_text": "-8272 * 3361 / 2083", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8272, \"b\": 3361, \"c\": 2083}", "seed": "15190586202962332577", "semantic_fingerprint": "sha256:55e4127d19dd83f51ee546630074b6cecd80b1bd3db59bcb7416cbb5bd1774d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002746", "prompt": "Evaluate: (2590 - (-7843 - (-7120))) / 1846 - (-4712) * 1336", "solution_steps": ["Subtract: -7843 - (-7120) = -723", "Subtract: 2590 - (-723) = 3313", "Divide: 3313 / 1846 = 3313/1846", "Multiply: -4712 * 1336 = -6295232", "Subtract: 3313/1846 - (-6295232) = 11621001585/1846"], "final_answer": "11621001585/1846", "answer_type": "rational", "kind": "expression", "math_text": "(2590 - (-7843 - (-7120))) / 1846 - (-4712) * 1336", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2590, \"b\": -7843, \"c\": -7120, \"d\": 1846, \"e\": -4712, \"f\": 1336}", "seed": "11517844432837238757", "semantic_fingerprint": "sha256:d4f0d6e080b5e36c1f7c416db223f55ef3182ceee485ed7bdc8543b077fd2074", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002747", "prompt": "Compute: (1271 - (-6363)) * (4727 + 17582)", "solution_steps": ["Subtract: 1271 - (-6363) = 7634", "Add: 4727 + 17582 = 22309", "Multiply: 7634 * 22309 = 170306906"], "final_answer": "170306906", "answer_type": "integer", "kind": "expression", "math_text": "(1271 - (-6363)) * (4727 + 17582)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1271, \"b\": -6363, \"c\": 4727, \"d\": 17582}", "seed": "15818848637927925374", "semantic_fingerprint": "sha256:c33ef14d05e5b734f0027279ec5dd97f3301a9dbcba62a962d5f13229fbd5bcd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002748", "prompt": "Evaluate: -5091 * 5837", "solution_steps": ["Multiply: -5091 * 5837 = -29716167"], "final_answer": "-29716167", "answer_type": "integer", "kind": "expression", "math_text": "-5091 * 5837", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5091, \"b\": 5837}", "seed": "558397605421822434", "semantic_fingerprint": "sha256:ccdb8efe6321f41a9dadae984d66376e1940ba77143cf695d0ff768150d44ef8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002749", "prompt": "Compute: -4636 + (46354 + (-70363)) + (-3353) / 2316", "solution_steps": ["Add: 46354 + (-70363) = -24009", "Add: -4636 + (-24009) = -28645", "Divide: -3353 / 2316 = -3353/2316", "Add: -28645 + (-3353/2316) = -66345173/2316"], "final_answer": "-66345173/2316", "answer_type": "rational", "kind": "expression", "math_text": "-4636 + (46354 + (-70363)) + (-3353) / 2316", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4636, \"b\": 46354, \"c\": -70363, \"d\": -3353, \"e\": 2316}", "seed": "15783181656481860387", "semantic_fingerprint": "sha256:baf06f5e7620423cd07ff5e9d5dc1ab8968d490813198e5c71c933a10cb1231e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002750", "prompt": "What value of x satisfies 27(x - 7181) - 92448 = -36(x + 8197)?", "solution_steps": ["Expand: 27x - 193887 - 92448 = -36(x + 8197)", "Expand: 27x - 193887 - 92448 = -36x - 295092", "Combine constants: 27x - 286335 = -36x - 295092", "Add 36x to both sides: 63x - 286335 = -295092", "Add 286335 to both sides: 63x = -8757", "Divide both sides by 63: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 7181) - 92448 = -36(x + 8197)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 7181, \"c\": -36, \"d\": 8197, \"f\": -92448, \"x\": -139}", "seed": "5162836629417484384", "semantic_fingerprint": "sha256:857fe97788451760a40b246e08ca47de74c61e8fa7347bc06324786a7172dcb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002751", "prompt": "Compute: 37728 - (-9577) + 1659 / (-33265)", "solution_steps": ["Subtract: 37728 - (-9577) = 47305", "Divide: 1659 / (-33265) = -1659/33265", "Add: 47305 + (-1659/33265) = 1573599166/33265"], "final_answer": "1573599166/33265", "answer_type": "rational", "kind": "expression", "math_text": "37728 - (-9577) + 1659 / (-33265)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37728, \"b\": -9577, \"c\": 1659, \"d\": -33265}", "seed": "5248270516745333562", "semantic_fingerprint": "sha256:80a6852494ec2eae6a7f189f02a303064675f390af2733f5c86974576fd916ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002752", "prompt": "What is (8125 + (-5655)) * (-75620 - (-62109))?", "solution_steps": ["Add: 8125 + (-5655) = 2470", "Subtract: -75620 - (-62109) = -13511", "Multiply: 2470 * (-13511) = -33372170"], "final_answer": "-33372170", "answer_type": "integer", "kind": "expression", "math_text": "(8125 + (-5655)) * (-75620 - (-62109))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8125, \"b\": -5655, \"c\": -75620, \"d\": -62109}", "seed": "1692361308813562857", "semantic_fingerprint": "sha256:8c08a91cdd0243d742e473e69c65f0895c4a9bde893a6ae8643fac945e5a5ea3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002753", "prompt": "What value of x satisfies 20x + 64890 = x - 9552?", "solution_steps": ["Subtract x from both sides: 19x + 64890 = -9552", "Subtract 64890 from both sides: 19x = -74442", "Divide both sides by 19: x = -3918"], "final_answer": "-3918", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 64890 = x - 9552", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 64890, \"c\": 9552}", "seed": "5110758745822373977", "semantic_fingerprint": "sha256:7922907ad35e22d17b7646a665af5eac4188592d1ec78e16e46c42402f8c7a83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002754", "prompt": "Compute: -1021 / 2285", "solution_steps": ["Divide: -1021 / 2285 = -1021/2285"], "final_answer": "-1021/2285", "answer_type": "rational", "kind": "expression", "math_text": "-1021 / 2285", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1021, \"b\": 2285}", "seed": "11981652029612126530", "semantic_fingerprint": "sha256:8f4c517ccf5592f3fa986c7126c235070ef7dbe50ec86f75bd08ddff69e2c44a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002755", "prompt": "Calculate: -50512 * (-8862) - 6648", "solution_steps": ["Multiply: -50512 * (-8862) = 447637344", "Subtract: 447637344 - 6648 = 447630696"], "final_answer": "447630696", "answer_type": "integer", "kind": "expression", "math_text": "-50512 * (-8862) - 6648", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50512, \"b\": -8862, \"c\": 6648}", "seed": "11079888689939455969", "semantic_fingerprint": "sha256:27343089eadfb01a80c479b6969d8c3d19734d3939f6090c1a73ce63391349c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002756", "prompt": "Compute: 9922 - 48489 - (-5344) / 27461", "solution_steps": ["Subtract: 9922 - 48489 = -38567", "Divide: -5344 / 27461 = -5344/27461", "Subtract: -38567 - (-5344/27461) = -1059083043/27461"], "final_answer": "-1059083043/27461", "answer_type": "rational", "kind": "expression", "math_text": "9922 - 48489 - (-5344) / 27461", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9922, \"b\": 48489, \"c\": -5344, \"d\": 27461}", "seed": "11945217283159023032", "semantic_fingerprint": "sha256:23720e1a51015dcc400d9bff3c1f8d09791a9b46c84d0dec90691477e02ab58a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002757", "prompt": "Compute: (-1163 - 17559) * (8820 - 3572)", "solution_steps": ["Subtract: -1163 - 17559 = -18722", "Subtract: 8820 - 3572 = 5248", "Multiply: -18722 * 5248 = -98253056"], "final_answer": "-98253056", "answer_type": "integer", "kind": "expression", "math_text": "(-1163 - 17559) * (8820 - 3572)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1163, \"b\": 17559, \"c\": 8820, \"d\": 3572}", "seed": "15110072638999898544", "semantic_fingerprint": "sha256:04076950f9913e28f891a26a58c72f58078217a075b2cf8aec2adb920b633102", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002758", "prompt": "Calculate: (-6119 + 8929) / (4447 + 38241) * 23926", "solution_steps": ["Add: -6119 + 8929 = 2810", "Add: 4447 + 38241 = 42688", "Divide: 2810 / 42688 = 1405/21344", "Multiply: (1405/21344) * 23926 = 16808015/10672"], "final_answer": "16808015/10672", "answer_type": "rational", "kind": "expression", "math_text": "(-6119 + 8929) / (4447 + 38241) * 23926", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6119, \"b\": 8929, \"c\": 4447, \"d\": 38241, \"e\": 23926}", "seed": "13003084587020716494", "semantic_fingerprint": "sha256:2cfa98a03b6db4f5846e883348ecaf4c0fd1b02aa29dc4c9b19ab615ae65b9fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002759", "prompt": "Calculate: 3855 + 8872 * (-4948)", "solution_steps": ["Multiply: 8872 * (-4948) = -43898656", "Add: 3855 + (-43898656) = -43894801"], "final_answer": "-43894801", "answer_type": "integer", "kind": "expression", "math_text": "3855 + 8872 * (-4948)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3855, \"b\": 8872, \"c\": -4948}", "seed": "11815998253036442397", "semantic_fingerprint": "sha256:babb7d783003fe00d0581a38da06d109c127e1a3335fa6a856967c69805a87c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002760", "prompt": "Evaluate: (14916 + (-8875)) * 3404", "solution_steps": ["Add: 14916 + (-8875) = 6041", "Multiply: 6041 * 3404 = 20563564"], "final_answer": "20563564", "answer_type": "integer", "kind": "expression", "math_text": "(14916 + (-8875)) * 3404", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14916, \"b\": -8875, \"c\": 3404}", "seed": "4182024182785198539", "semantic_fingerprint": "sha256:95bd2983aed6b8ddfc3061a03acfb301fc48bf48058ea1ae82a140a18f86d563", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002761", "prompt": "What is -7687 - (-24529) - 55741?", "solution_steps": ["Subtract: -7687 - (-24529) = 16842", "Subtract: 16842 - 55741 = -38899"], "final_answer": "-38899", "answer_type": "integer", "kind": "expression", "math_text": "-7687 - (-24529) - 55741", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7687, \"b\": -24529, \"c\": 55741}", "seed": "16457284760656881573", "semantic_fingerprint": "sha256:3681d1075bf433229edd2fac2e6cbc5c676f6041df8a91bc6efc30c64f0b4cae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002762", "prompt": "Evaluate: 22804 * 3417 + (-5520) / 4918", "solution_steps": ["Multiply: 22804 * 3417 = 77921268", "Divide: -5520 / 4918 = -2760/2459", "Add: 77921268 + (-2760/2459) = 191608395252/2459"], "final_answer": "191608395252/2459", "answer_type": "rational", "kind": "expression", "math_text": "22804 * 3417 + (-5520) / 4918", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22804, \"b\": 3417, \"c\": -5520, \"d\": 4918}", "seed": "724690417718692543", "semantic_fingerprint": "sha256:d0ef7af0e482f8802d1674d439f4dfd5396a7b2175f8a5f826333ea7f77c8e43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002763", "prompt": "Evaluate: 1846 * (5811 - 9703 / 5676)", "solution_steps": ["Divide: 9703 / 5676 = 9703/5676", "Subtract: 5811 - 9703/5676 = 32973533/5676", "Multiply: 1846 * (32973533/5676) = 30434570959/2838"], "final_answer": "30434570959/2838", "answer_type": "rational", "kind": "expression", "math_text": "1846 * (5811 - 9703 / 5676)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1846, \"b\": 5811, \"c\": 9703, \"d\": 5676}", "seed": "4199914450017547641", "semantic_fingerprint": "sha256:279e961188e045c1b5b05a379ad5ecc17ce47fc59f14b439723aeeba428d6dd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002764", "prompt": "Solve for x: x - 1728 = -34x + 9116", "solution_steps": ["Add 34x to both sides: 35x - 1728 = 9116", "Add 1728 to both sides: 35x = 10844", "Divide both sides by 35: x = 10844/35"], "final_answer": "10844/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1728 = -34x + 9116", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1728, \"b\": -34, \"c\": 9116}", "seed": "15672312590227658706", "semantic_fingerprint": "sha256:d5c733a4bef8c6ca2cf2032cfe9b51b99aa024aff7d817f2f9e38b470795d5c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002765", "prompt": "Compute: (-77188 - (-1303) + (-6860)) / (-4374)", "solution_steps": ["Subtract: -77188 - (-1303) = -75885", "Add: -75885 + (-6860) = -82745", "Divide: -82745 / (-4374) = 82745/4374"], "final_answer": "82745/4374", "answer_type": "rational", "kind": "expression", "math_text": "(-77188 - (-1303) + (-6860)) / (-4374)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77188, \"b\": -1303, \"c\": -6860, \"d\": -4374}", "seed": "10088219183063151283", "semantic_fingerprint": "sha256:91575eddeee957156a5fefe8ecc092f1a0193296dc19d5d8bbfd745bfc690766", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002766", "prompt": "What is -91424 - (8928 / 7736 - 98385)?", "solution_steps": ["Divide: 8928 / 7736 = 1116/967", "Subtract: 1116/967 - 98385 = -95137179/967", "Subtract: -91424 - (-95137179/967) = 6730171/967"], "final_answer": "6730171/967", "answer_type": "rational", "kind": "expression", "math_text": "-91424 - (8928 / 7736 - 98385)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -91424, \"b\": 8928, \"c\": 7736, \"d\": 98385}", "seed": "6217768112203254722", "semantic_fingerprint": "sha256:39290ed0cefb27c462c810dab5946bf0238d7336691e0ed2453ce8bd2ca9c1cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002767", "prompt": "Solve the equation 40x + 86816 = 80496 for x.", "solution_steps": ["Subtract 86816 from both sides: 40x = -6320", "Divide both sides by 40: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 86816 = 80496", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 86816, \"d\": 80496, \"x\": -158}", "seed": "12023534927047981227", "semantic_fingerprint": "sha256:ab411eb480b97408480ec58138445820ecd4f7b270bc6fa54078e095badb64c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002768", "prompt": "Calculate: (-48860 + 89089) * (8431 - 4289)", "solution_steps": ["Add: -48860 + 89089 = 40229", "Subtract: 8431 - 4289 = 4142", "Multiply: 40229 * 4142 = 166628518"], "final_answer": "166628518", "answer_type": "integer", "kind": "expression", "math_text": "(-48860 + 89089) * (8431 - 4289)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48860, \"b\": 89089, \"c\": 8431, \"d\": 4289}", "seed": "9455497086957880655", "semantic_fingerprint": "sha256:a9a36803fb2034d606258d95fdfbfbd643743c9abf520ec0d5fb12f36dba5454", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002769", "prompt": "Find x: 20x = 23(x - 67882)", "solution_steps": ["Expand: 20x = 23x - 1561286", "Subtract 23x from both sides: -3x = -1561286", "Divide both sides by -3: x = 1561286/3"], "final_answer": "1561286/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x = 23(x - 67882)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 23, \"c\": 67882}", "seed": "12611075901190853478", "semantic_fingerprint": "sha256:db13a1804c95307bf8946034cf3e12f2c9ccd315aafaf103e7bb321c1f8deb7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002770", "prompt": "Solve the equation x - 3815 = -30(x - 63392) for x.", "solution_steps": ["Expand: x - 3815 = -30x + 1901760", "Add 30x to both sides: 31x - 3815 = 1901760", "Add 3815 to both sides: 31x = 1905575", "Divide both sides by 31: x = 1905575/31"], "final_answer": "1905575/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3815 = -30(x - 63392)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3815, \"b\": -30, \"c\": 63392}", "seed": "105224072370008012", "semantic_fingerprint": "sha256:3f28de4f4abc94fa62bfc29ba973cf80aa6e08740e943234c6d33e18d03d4d04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002771", "prompt": "Evaluate: 7501 - 95377", "solution_steps": ["Subtract: 7501 - 95377 = -87876"], "final_answer": "-87876", "answer_type": "integer", "kind": "expression", "math_text": "7501 - 95377", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7501, \"b\": 95377}", "seed": "4467547007695734095", "semantic_fingerprint": "sha256:f714c345ca524d2da8d2b99d35312326a2a264905e81561dd5e105701578ff3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002772", "prompt": "Calculate: -6372 + 6686 * 4269 / (-52166)", "solution_steps": ["Multiply: 6686 * 4269 = 28542534", "Divide: 28542534 / (-52166) = -14271267/26083", "Add: -6372 + (-14271267/26083) = -180472143/26083"], "final_answer": "-180472143/26083", "answer_type": "rational", "kind": "expression", "math_text": "-6372 + 6686 * 4269 / (-52166)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6372, \"b\": 6686, \"c\": 4269, \"d\": -52166}", "seed": "3784866401292028824", "semantic_fingerprint": "sha256:dcb19f387f10e84eb6ad15050878589fdb4d49580fa581e1d4a919ee025ee87e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002773", "prompt": "Calculate: -89790 / 3338 - (-8880 - (-3551))", "solution_steps": ["Divide: -89790 / 3338 = -44895/1669", "Subtract: -8880 - (-3551) = -5329", "Subtract: -44895/1669 - (-5329) = 8849206/1669"], "final_answer": "8849206/1669", "answer_type": "rational", "kind": "expression", "math_text": "-89790 / 3338 - (-8880 - (-3551))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -89790, \"b\": 3338, \"c\": -8880, \"d\": -3551}", "seed": "13084248537812223581", "semantic_fingerprint": "sha256:c336e02db02ab694f723724101b5cdf274b7b2e9b364f63e96b611d43568c44b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002774", "prompt": "Compute: -4194 * 87025", "solution_steps": ["Multiply: -4194 * 87025 = -364982850"], "final_answer": "-364982850", "answer_type": "integer", "kind": "expression", "math_text": "-4194 * 87025", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4194, \"b\": 87025}", "seed": "4437268331603036164", "semantic_fingerprint": "sha256:06f97d66a34986a7d03c3e77238276d8bd83958e02f456267c3c067fb1b35a26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002775", "prompt": "Compute: 30372 - (-3942) * (-5216)", "solution_steps": ["Multiply: -3942 * (-5216) = 20561472", "Subtract: 30372 - 20561472 = -20531100"], "final_answer": "-20531100", "answer_type": "integer", "kind": "expression", "math_text": "30372 - (-3942) * (-5216)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30372, \"b\": -3942, \"c\": -5216}", "seed": "17537484080636187429", "semantic_fingerprint": "sha256:23d6c20decd8cdbad771b349e6965d51a58e35e85595739f50bb05adefbf0014", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002776", "prompt": "Find x: 24x = 18(x - 2652)", "solution_steps": ["Expand: 24x = 18x - 47736", "Subtract 18x from both sides: 6x = -47736", "Divide both sides by 6: x = -7956"], "final_answer": "-7956", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x = 18(x - 2652)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 18, \"c\": 2652}", "seed": "17067226182646483025", "semantic_fingerprint": "sha256:aa257baadff78d9eb9bdd9b01a159bfb6ae32093768c010c9920d63991a2c478", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002777", "prompt": "Solve for x: 21x + 6561 = 22x", "solution_steps": ["Subtract 22x from both sides: -x + 6561 = 0", "Subtract 6561 from both sides: -x = -6561", "Divide both sides by -1: x = 6561"], "final_answer": "6561", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 6561 = 22x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 6561, \"c\": 22}", "seed": "8166581283891069763", "semantic_fingerprint": "sha256:ff60d56dbe364803640235e4f885836fa7d6bb4c9956b920a478cfa6f1a0910b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002778", "prompt": "Evaluate: 9493 * (16930 / (52797 + 90468 + 26446))", "solution_steps": ["Add: 52797 + 90468 = 143265", "Add: 143265 + 26446 = 169711", "Divide: 16930 / 169711 = 16930/169711", "Multiply: 9493 * (16930/169711) = 160716490/169711"], "final_answer": "160716490/169711", "answer_type": "rational", "kind": "expression", "math_text": "9493 * (16930 / (52797 + 90468 + 26446))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9493, \"b\": 16930, \"c\": 52797, \"d\": 90468, \"e\": 26446}", "seed": "11344699254215338822", "semantic_fingerprint": "sha256:edd9495d18b29b3d8e5b48fe0548412dc138de55117b77c9bab5b039dd8557ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002779", "prompt": "Evaluate: -36090 * (-10045)", "solution_steps": ["Multiply: -36090 * (-10045) = 362524050"], "final_answer": "362524050", "answer_type": "integer", "kind": "expression", "math_text": "-36090 * (-10045)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -36090, \"b\": -10045}", "seed": "10723359817591771994", "semantic_fingerprint": "sha256:45a393cb0127f53aae528d8c59724c75e26d8917c0f230da60821462c76d715d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002780", "prompt": "Solve for x: 17x + 1360 = x", "solution_steps": ["Subtract x from both sides: 16x + 1360 = 0", "Subtract 1360 from both sides: 16x = -1360", "Divide both sides by 16: x = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 1360 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": 1360, \"x\": -85}", "seed": "10829166799740669905", "semantic_fingerprint": "sha256:728f55600fe3663c9c5f271fe286086cd88469f8bbaf8885b7a328f718c9a60c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002781", "prompt": "Evaluate: -13738 - (-4681 + 81077)", "solution_steps": ["Add: -4681 + 81077 = 76396", "Subtract: -13738 - 76396 = -90134"], "final_answer": "-90134", "answer_type": "integer", "kind": "expression", "math_text": "-13738 - (-4681 + 81077)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13738, \"b\": -4681, \"c\": 81077}", "seed": "16384970213717637530", "semantic_fingerprint": "sha256:ce3f4af22227a357bc7a352e7d0c2602275b7797714de024a483f72100fda1f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002782", "prompt": "Calculate: -7235 + 5131", "solution_steps": ["Add: -7235 + 5131 = -2104"], "final_answer": "-2104", "answer_type": "integer", "kind": "expression", "math_text": "-7235 + 5131", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7235, \"b\": 5131}", "seed": "1782047470070912810", "semantic_fingerprint": "sha256:42635ab073a029d0eed35c1447ce415e2c579010446fd08f8b0add7e408ab6ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002783", "prompt": "Evaluate: (35976 + 69821) * (-1560 * 4884)", "solution_steps": ["Add: 35976 + 69821 = 105797", "Multiply: -1560 * 4884 = -7619040", "Multiply: 105797 * (-7619040) = -806071574880"], "final_answer": "-806071574880", "answer_type": "integer", "kind": "expression", "math_text": "(35976 + 69821) * (-1560 * 4884)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35976, \"b\": 69821, \"c\": -1560, \"d\": 4884}", "seed": "5666132937419335886", "semantic_fingerprint": "sha256:6f288dd3f9fab2af383771f07da1f933fa3e168f73d79c297781d556fb4b45b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002784", "prompt": "Calculate: 16852 * (1305 + (-45904 + 6870))", "solution_steps": ["Add: -45904 + 6870 = -39034", "Add: 1305 + (-39034) = -37729", "Multiply: 16852 * (-37729) = -635809108"], "final_answer": "-635809108", "answer_type": "integer", "kind": "expression", "math_text": "16852 * (1305 + (-45904 + 6870))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16852, \"b\": 1305, \"c\": -45904, \"d\": 6870}", "seed": "10427070335653690275", "semantic_fingerprint": "sha256:ce05cbbb858795885baf8fa1e40b86bad1eb38d85731cc124bb65a88cf66278f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002785", "prompt": "What value of x satisfies 15(x + 5387) - 3004 = 17x + 78187?", "solution_steps": ["Expand: 15x + 80805 - 3004 = 17x + 78187", "Combine constants: 15x + 77801 = 17x + 78187", "Subtract 17x from both sides: -2x + 77801 = 78187", "Subtract 77801 from both sides: -2x = 386", "Divide both sides by -2: x = -193"], "final_answer": "-193", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 5387) - 3004 = 17x + 78187", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 5387, \"c\": 3004, \"d\": 17, \"f\": 78187, \"x\": -193}", "seed": "9129796707833009494", "semantic_fingerprint": "sha256:7b811196e856d235d50a66d4238aa0dd8806b67f9b0829db45efee955120521a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002786", "prompt": "Solve the equation 33x = 20(x + 9133) for x.", "solution_steps": ["Expand: 33x = 20x + 182660", "Subtract 20x from both sides: 13x = 182660", "Divide both sides by 13: x = 182660/13"], "final_answer": "182660/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x = 20(x + 9133)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 20, \"c\": 9133}", "seed": "15729687715760503326", "semantic_fingerprint": "sha256:4cb3c68d80f6666e30e5f42eba0ed4733bfe13cf3ce5bb56d40df8ed5de12b3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002787", "prompt": "Evaluate: -62606 + (-5220 - (-97547 + 6319)) / (-4371)", "solution_steps": ["Add: -97547 + 6319 = -91228", "Subtract: -5220 - (-91228) = 86008", "Divide: 86008 / (-4371) = -86008/4371", "Add: -62606 + (-86008/4371) = -273736834/4371"], "final_answer": "-273736834/4371", "answer_type": "rational", "kind": "expression", "math_text": "-62606 + (-5220 - (-97547 + 6319)) / (-4371)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -62606, \"b\": -5220, \"c\": -97547, \"d\": 6319, \"e\": -4371}", "seed": "17447600861442304502", "semantic_fingerprint": "sha256:0e51732047d2f1b6842caf90cc7edf4d46d2a2a6be59e7f08bf5a81e0cb2cdda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002788", "prompt": "What is -5012 / (-5557) * (-6544)?", "solution_steps": ["Divide: -5012 / (-5557) = 5012/5557", "Multiply: (5012/5557) * (-6544) = -32798528/5557"], "final_answer": "-32798528/5557", "answer_type": "rational", "kind": "expression", "math_text": "-5012 / (-5557) * (-6544)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5012, \"b\": -5557, \"c\": -6544}", "seed": "7148715311658253932", "semantic_fingerprint": "sha256:09306ff69e77d9f3fb90093f7a7fa43bce21c046497b531369e9c398df3ea026", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002789", "prompt": "What value of x satisfies 13x = 14x?", "solution_steps": ["Subtract 14x from both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x = 14x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 14}", "seed": "1501823583902409668", "semantic_fingerprint": "sha256:62b69c5d4b2bd1be83f4dbfda2522c4e8b9633bd2e227c003bc36abd20734d6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002790", "prompt": "Compute: -2657 * (-54582) + (-79545 - (-9841)) * (-1908) - (-2387)", "solution_steps": ["Multiply: -2657 * (-54582) = 145024374", "Subtract: -79545 - (-9841) = -69704", "Multiply: -69704 * (-1908) = 132995232", "Add: 145024374 + 132995232 = 278019606", "Subtract: 278019606 - (-2387) = 278021993"], "final_answer": "278021993", "answer_type": "integer", "kind": "expression", "math_text": "-2657 * (-54582) + (-79545 - (-9841)) * (-1908) - (-2387)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2657, \"b\": -54582, \"c\": -79545, \"d\": -9841, \"e\": -1908, \"f\": -2387}", "seed": "5994269582360596737", "semantic_fingerprint": "sha256:d9866c7bfda3f1a93b38b99584780428d1cf6688bf59a222334a6663314d63fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002791", "prompt": "Compute: -3055 - 66506 + (-8434) * 59974", "solution_steps": ["Subtract: -3055 - 66506 = -69561", "Multiply: -8434 * 59974 = -505820716", "Add: -69561 + (-505820716) = -505890277"], "final_answer": "-505890277", "answer_type": "integer", "kind": "expression", "math_text": "-3055 - 66506 + (-8434) * 59974", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3055, \"b\": 66506, \"c\": -8434, \"d\": 59974}", "seed": "2656274697309060029", "semantic_fingerprint": "sha256:7aa663928b497eab410f2c73f511adfd830559cb04f564942baf5fd72e3eb0c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002792", "prompt": "Calculate: 7871 * (-8586) / 5621", "solution_steps": ["Multiply: 7871 * (-8586) = -67580406", "Divide: -67580406 / 5621 = -67580406/5621"], "final_answer": "-67580406/5621", "answer_type": "rational", "kind": "expression", "math_text": "7871 * (-8586) / 5621", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7871, \"b\": -8586, \"c\": 5621}", "seed": "4191038620875122997", "semantic_fingerprint": "sha256:430fdc68dba90c3c90c050b9c074813192c3574ae145b635c60f5902b66c7bf4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002793", "prompt": "What value of x satisfies x - 90297 = 19(x - 19132)?", "solution_steps": ["Expand: x - 90297 = 19x - 363508", "Subtract 19x from both sides: -18x - 90297 = -363508", "Add 90297 to both sides: -18x = -273211", "Divide both sides by -18: x = 273211/18"], "final_answer": "273211/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 90297 = 19(x - 19132)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 90297, \"b\": 19, \"c\": 19132}", "seed": "14374334209026845736", "semantic_fingerprint": "sha256:2c6620138ab4c6b853af986705d2a3580a69b16d8863a04493837c77bbaa8832", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002794", "prompt": "Evaluate: (5207 - 81351) / (-3468 - (-82349 + (-6512) + 6389))", "solution_steps": ["Subtract: 5207 - 81351 = -76144", "Add: -82349 + (-6512) = -88861", "Add: -88861 + 6389 = -82472", "Subtract: -3468 - (-82472) = 79004", "Divide: -76144 / 79004 = -19036/19751"], "final_answer": "-19036/19751", "answer_type": "rational", "kind": "expression", "math_text": "(5207 - 81351) / (-3468 - (-82349 + (-6512) + 6389))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5207, \"b\": 81351, \"c\": -3468, \"d\": -82349, \"e\": -6512, \"f\": 6389}", "seed": "16999860285572816337", "semantic_fingerprint": "sha256:8b6f703b0f82c8e8028a7ec9d31540d73aef89a98b7bb62b81cdcd403db6f24a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002795", "prompt": "Solve for x: -14(x + 59868) = x", "solution_steps": ["Expand: -14x - 838152 = x", "Subtract x from both sides: -15x - 838152 = 0", "Add 838152 to both sides: -15x = 838152", "Divide both sides by -15: x = -279384/5"], "final_answer": "-279384/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 59868) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 59868}", "seed": "6622310941759138121", "semantic_fingerprint": "sha256:762b6c4f27cd52c4bf613a089a42c64e06f9ca0430ffc79b320da8411f93cfb6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002796", "prompt": "Solve for x: -32(x - 3477) + 32867 = x + 95359", "solution_steps": ["Expand: -32x + 111264 + 32867 = x + 95359", "Combine constants: -32x + 144131 = x + 95359", "Subtract x from both sides: -33x + 144131 = 95359", "Subtract 144131 from both sides: -33x = -48772", "Divide both sides by -33: x = 48772/33"], "final_answer": "48772/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 3477) + 32867 = x + 95359", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 3477, \"c\": 32867, \"d\": 95359}", "seed": "10877553852181022345", "semantic_fingerprint": "sha256:d9023daf3cae781402c40aada19eeb23e14e9f5b373cee03d4e3346db70ac4fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002797", "prompt": "Solve the equation -18x = 27x - 2025 for x.", "solution_steps": ["Subtract 27x from both sides: -45x = -2025", "Divide both sides by -45: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18x = 27x - 2025", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 27, \"d\": -2025, \"x\": 45}", "seed": "4244810827711814099", "semantic_fingerprint": "sha256:86649b8343d4dccd931673dc95112a749d023e57333a2e2fcc064dca6d9072e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002798", "prompt": "What is -36056 * (-50939)?", "solution_steps": ["Multiply: -36056 * (-50939) = 1836656584"], "final_answer": "1836656584", "answer_type": "integer", "kind": "expression", "math_text": "-36056 * (-50939)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -36056, \"b\": -50939}", "seed": "7260241279971754399", "semantic_fingerprint": "sha256:b27e726cb20295c13cf61c4b4f5df72253dcb4577ab7b97a302f1b486c369282", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002799", "prompt": "Evaluate: 3430 - (-36945 - 5586) - (-5223 + (-48549)) * (-6561)", "solution_steps": ["Subtract: -36945 - 5586 = -42531", "Subtract: 3430 - (-42531) = 45961", "Add: -5223 + (-48549) = -53772", "Multiply: -53772 * (-6561) = 352798092", "Subtract: 45961 - 352798092 = -352752131"], "final_answer": "-352752131", "answer_type": "integer", "kind": "expression", "math_text": "3430 - (-36945 - 5586) - (-5223 + (-48549)) * (-6561)", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3430, \"b\": -36945, \"c\": 5586, \"d\": -5223, \"e\": -48549, \"f\": -6561}", "seed": "18442892460464453897", "semantic_fingerprint": "sha256:538a1968f7938525c769dc246ac3aeda7a6862f715313c17918250a6338ca70e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002800", "prompt": "Calculate: 3286 - (-1135 - 9433 / (19484 + (-1554)))", "solution_steps": ["Add: 19484 + (-1554) = 17930", "Divide: 9433 / 17930 = 9433/17930", "Subtract: -1135 - 9433/17930 = -20359983/17930", "Subtract: 3286 - (-20359983/17930) = 79277963/17930"], "final_answer": "79277963/17930", "answer_type": "rational", "kind": "expression", "math_text": "3286 - (-1135 - 9433 / (19484 + (-1554)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (/ n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3286, \"b\": -1135, \"c\": 9433, \"d\": 19484, \"e\": -1554}", "seed": "11010623188392655929", "semantic_fingerprint": "sha256:19c5e2554c372096d892fcbc802c55f18d8057ceb147a934622745da42c25f6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002801", "prompt": "Calculate: 1134 + (-4298) - 1397", "solution_steps": ["Add: 1134 + (-4298) = -3164", "Subtract: -3164 - 1397 = -4561"], "final_answer": "-4561", "answer_type": "integer", "kind": "expression", "math_text": "1134 + (-4298) - 1397", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1134, \"b\": -4298, \"c\": 1397}", "seed": "8554216449895659126", "semantic_fingerprint": "sha256:24792458e63ab257b7a156db7c28a92d74ac7360cd675b5ed928b78d617b4300", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002802", "prompt": "Evaluate: -9609 - (-81393) - 7480", "solution_steps": ["Subtract: -9609 - (-81393) = 71784", "Subtract: 71784 - 7480 = 64304"], "final_answer": "64304", "answer_type": "integer", "kind": "expression", "math_text": "-9609 - (-81393) - 7480", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9609, \"b\": -81393, \"c\": 7480}", "seed": "98268169971749146", "semantic_fingerprint": "sha256:03a110193b5564c83d429589b5436c75fcd5e241529ed2b0a84128dbead3e4ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002803", "prompt": "Solve the equation 28x - 78022 = -79786 for x.", "solution_steps": ["Add 78022 to both sides: 28x = -1764", "Divide both sides by 28: x = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 78022 = -79786", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 78022, \"d\": -79786, \"x\": -63}", "seed": "9924330443222452943", "semantic_fingerprint": "sha256:c839f4c95edc8c0acab86bd79a1eedf162661e708bea44e8a54088c8337f4bfc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002804", "prompt": "Solve for x: 29(x - 94815) = x", "solution_steps": ["Expand: 29x - 2749635 = x", "Subtract x from both sides: 28x - 2749635 = 0", "Add 2749635 to both sides: 28x = 2749635", "Divide both sides by 28: x = 392805/4"], "final_answer": "392805/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 94815) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 94815}", "seed": "9124599797474634183", "semantic_fingerprint": "sha256:36ca1061864b5d0b6a046a8746e1ba482671bf37d07b461d63c603a818379d03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002805", "prompt": "Evaluate: -77925 * 6686 / (-83952 - 1918)", "solution_steps": ["Multiply: -77925 * 6686 = -521006550", "Subtract: -83952 - 1918 = -85870", "Divide: -521006550 / (-85870) = 52100655/8587"], "final_answer": "52100655/8587", "answer_type": "rational", "kind": "expression", "math_text": "-77925 * 6686 / (-83952 - 1918)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77925, \"b\": 6686, \"c\": -83952, \"d\": 1918}", "seed": "13879055122286736559", "semantic_fingerprint": "sha256:08bf69d12dff2dd33704cd5cb814e372b088a3ca52cb7d171b472ea17de3e9ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002806", "prompt": "Calculate: 57962 / (84722 / (-9410))", "solution_steps": ["Divide: 84722 / (-9410) = -42361/4705", "Divide: 57962 / (-42361/4705) = -272711210/42361"], "final_answer": "-272711210/42361", "answer_type": "rational", "kind": "expression", "math_text": "57962 / (84722 / (-9410))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57962, \"b\": 84722, \"c\": -9410}", "seed": "1745039480857022033", "semantic_fingerprint": "sha256:d1d5a246dd1da87ff44430fe466b3d199cfeaf8d304fb796e7c3ca87e98d40ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002807", "prompt": "What value of x satisfies 18(x - 3373) - 2460 = -59754?", "solution_steps": ["Expand: 18x - 60714 - 2460 = -59754", "Combine constants: 18x - 63174 = -59754", "Add 63174 to both sides: 18x = 3420", "Divide both sides by 18: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 3373) - 2460 = -59754", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3373, \"c\": 2460, \"e\": -59754, \"x\": 190}", "seed": "2136482207958871945", "semantic_fingerprint": "sha256:99298d5b66b7a6fe86f162e0e8db0ebdcb5cac4707183309ba28395ba76147c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002808", "prompt": "What value of x satisfies -13(x + 2122) - 4823 = 14(x + 9568) + 4433?", "solution_steps": ["Expand: -13x - 27586 - 4823 = 14(x + 9568) + 4433", "Expand: -13x - 27586 - 4823 = 14x + 133952 + 4433", "Combine constants: -13x - 32409 = 14x + 133952 + 4433", "Combine constants: -13x - 32409 = 14x + 138385", "Subtract 14x from both sides: -27x - 32409 = 138385", "Add 32409 to both sides: -27x = 170794", "Divide both sides by -27: x = -170794/27"], "final_answer": "-170794/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 2122) - 4823 = 14(x + 9568) + 4433", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 2122, \"c\": 4823, \"d\": 14, \"e\": 9568, \"f\": 4433}", "seed": "9157616709844937582", "semantic_fingerprint": "sha256:d200ef741cd4c91d1c41f730d3ac735a06fe8a8facac4a7963d8428f62bd5a14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002809", "prompt": "Solve for x: x - 28333 = -18(x + 83880) - 30395", "solution_steps": ["Expand: x - 28333 = -18x - 1509840 - 30395", "Combine constants: x - 28333 = -18x - 1540235", "Add 18x to both sides: 19x - 28333 = -1540235", "Add 28333 to both sides: 19x = -1511902", "Divide both sides by 19: x = -1511902/19"], "final_answer": "-1511902/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 28333 = -18(x + 83880) - 30395", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28333, \"b\": -18, \"c\": 83880, \"d\": 30395}", "seed": "7914024662746888215", "semantic_fingerprint": "sha256:3db019af694605292e4734fa174c4bc0817132f97082116de73800957c1dc3d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002810", "prompt": "Find x: 20(x - 6503) = -25(x + 4596) - 10345", "solution_steps": ["Expand: 20x - 130060 = -25(x + 4596) - 10345", "Expand: 20x - 130060 = -25x - 114900 - 10345", "Combine constants: 20x - 130060 = -25x - 125245", "Add 25x to both sides: 45x - 130060 = -125245", "Add 130060 to both sides: 45x = 4815", "Divide both sides by 45: x = 107"], "final_answer": "107", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 6503) = -25(x + 4596) - 10345", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 6503, \"c\": -25, \"d\": 4596, \"f\": -10345, \"x\": 107}", "seed": "669903971022688023", "semantic_fingerprint": "sha256:5f6aee524135155980daffb5160a7929bdf1dd26f385f2a6543124ce9ea7c54e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002811", "prompt": "What is 31760 + 81648 / (-69076) + (-6204 + (-11142))?", "solution_steps": ["Divide: 81648 / (-69076) = -2916/2467", "Add: 31760 + (-2916/2467) = 78349004/2467", "Add: -6204 + (-11142) = -17346", "Add: 78349004/2467 + (-17346) = 35556422/2467"], "final_answer": "35556422/2467", "answer_type": "rational", "kind": "expression", "math_text": "31760 + 81648 / (-69076) + (-6204 + (-11142))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31760, \"b\": 81648, \"c\": -69076, \"d\": -6204, \"e\": -11142}", "seed": "9458605031419476478", "semantic_fingerprint": "sha256:753ceb85063ec5b47e0b2168983093ab7629bf46fc419a148700bec9d32ceb76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002812", "prompt": "What value of x satisfies x + 5406 = -18271?", "solution_steps": ["Subtract 5406 from both sides: x = -23677"], "final_answer": "-23677", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5406 = -18271", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5406, \"b\": -18271}", "seed": "10300540352992619794", "semantic_fingerprint": "sha256:f2cd306b8494db2df7b868fe13a7faf5ed7b6a459b9d1b1fe2fd8afac9b45d8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002813", "prompt": "What is -2707 * ((3534 + 1048) / (-1066))?", "solution_steps": ["Add: 3534 + 1048 = 4582", "Divide: 4582 / (-1066) = -2291/533", "Multiply: -2707 * (-2291/533) = 6201737/533"], "final_answer": "6201737/533", "answer_type": "rational", "kind": "expression", "math_text": "-2707 * ((3534 + 1048) / (-1066))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2707, \"b\": 3534, \"c\": 1048, \"d\": -1066}", "seed": "16005929389003288569", "semantic_fingerprint": "sha256:9a3f96aa350a09513544601cad558e5a368997d7c37d9eb24a8e9786abba4ff4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002814", "prompt": "Solve for x: 23(x + 1957) - 9588 = 32065", "solution_steps": ["Expand: 23x + 45011 - 9588 = 32065", "Combine constants: 23x + 35423 = 32065", "Subtract 35423 from both sides: 23x = -3358", "Divide both sides by 23: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 1957) - 9588 = 32065", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1957, \"c\": 9588, \"e\": 32065, \"x\": -146}", "seed": "14646928149044396092", "semantic_fingerprint": "sha256:314565167cce1bea73966cf04a866a06d99c9d831d0c995ae46353d6325cadef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002815", "prompt": "What is 53004 / 2440?", "solution_steps": ["Divide: 53004 / 2440 = 13251/610"], "final_answer": "13251/610", "answer_type": "rational", "kind": "expression", "math_text": "53004 / 2440", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53004, \"b\": 2440}", "seed": "14297571005500965562", "semantic_fingerprint": "sha256:561c270aa38a8201afb564d867b6c88679029fd9ca4218ccfe460e28d9737aab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002816", "prompt": "Calculate: 66194 - (-77761) + (75258 - (70251 - 3499))", "solution_steps": ["Subtract: 66194 - (-77761) = 143955", "Subtract: 70251 - 3499 = 66752", "Subtract: 75258 - 66752 = 8506", "Add: 143955 + 8506 = 152461"], "final_answer": "152461", "answer_type": "integer", "kind": "expression", "math_text": "66194 - (-77761) + (75258 - (70251 - 3499))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 66194, \"b\": -77761, \"c\": 75258, \"d\": 70251, \"e\": 3499}", "seed": "12666243348143336964", "semantic_fingerprint": "sha256:60046cb02d8ee3fa78d3cff7713c308ad7ef5d76b7629ccf8bf9dab6d2dff594", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002817", "prompt": "Evaluate: (-48156 + 5522) / (-26056) - 9680", "solution_steps": ["Add: -48156 + 5522 = -42634", "Divide: -42634 / (-26056) = 21317/13028", "Subtract: 21317/13028 - 9680 = -126089723/13028"], "final_answer": "-126089723/13028", "answer_type": "rational", "kind": "expression", "math_text": "(-48156 + 5522) / (-26056) - 9680", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48156, \"b\": 5522, \"c\": -26056, \"d\": 9680}", "seed": "2779200498043966269", "semantic_fingerprint": "sha256:d097b7dd01ffe93706439d28f2fbdb36071c80e0b1f340eb84fbbe7edca3bd72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002818", "prompt": "Evaluate: -2142 + (-42601) + (-9833)", "solution_steps": ["Add: -2142 + (-42601) = -44743", "Add: -44743 + (-9833) = -54576"], "final_answer": "-54576", "answer_type": "integer", "kind": "expression", "math_text": "-2142 + (-42601) + (-9833)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2142, \"b\": -42601, \"c\": -9833}", "seed": "8526349612217485427", "semantic_fingerprint": "sha256:c4a3004972a2f3ede984b895ce07e46bdec2d8e651c401e28750555caf203fff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002819", "prompt": "Evaluate: 5333 - (-61692 - 9065)", "solution_steps": ["Subtract: -61692 - 9065 = -70757", "Subtract: 5333 - (-70757) = 76090"], "final_answer": "76090", "answer_type": "integer", "kind": "expression", "math_text": "5333 - (-61692 - 9065)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5333, \"b\": -61692, \"c\": 9065}", "seed": "8319481670617117018", "semantic_fingerprint": "sha256:fa5be57815043b31e78f76bf227ab2b5ae98d54e13f68370595fc8706732829b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002820", "prompt": "Calculate: 5773 + 3772", "solution_steps": ["Add: 5773 + 3772 = 9545"], "final_answer": "9545", "answer_type": "integer", "kind": "expression", "math_text": "5773 + 3772", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5773, \"b\": 3772}", "seed": "3008537925304285737", "semantic_fingerprint": "sha256:8a013313da7cc7d05db8cf86e8aeb31e898404623f7309d2bfc0a76a2af2b8e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002821", "prompt": "What value of x satisfies x - 19610 = 17(x + 1553) - 49067?", "solution_steps": ["Expand: x - 19610 = 17x + 26401 - 49067", "Combine constants: x - 19610 = 17x - 22666", "Subtract 17x from both sides: -16x - 19610 = -22666", "Add 19610 to both sides: -16x = -3056", "Divide both sides by -16: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 19610 = 17(x + 1553) - 49067", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19610, \"b\": 17, \"c\": 1553, \"e\": -49067, \"x\": 191}", "seed": "16515430296784653459", "semantic_fingerprint": "sha256:cfb2dd40f2e02db2b205ec7c38ca4546b6d7feb35d7be9fb7770f121f1238aa2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002822", "prompt": "What is -24717 - 5450 - (-8063) / 4709?", "solution_steps": ["Subtract: -24717 - 5450 = -30167", "Divide: -8063 / 4709 = -8063/4709", "Subtract: -30167 - (-8063/4709) = -142048340/4709"], "final_answer": "-142048340/4709", "answer_type": "rational", "kind": "expression", "math_text": "-24717 - 5450 - (-8063) / 4709", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24717, \"b\": 5450, \"c\": -8063, \"d\": 4709}", "seed": "13044684952062838130", "semantic_fingerprint": "sha256:ec9b7e4bdeb45f2ee863f96de57b4948bb8f461847e440ab81dc086d49ca0897", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002823", "prompt": "What value of x satisfies 13(x - 99743) + 72574 = -27(x - 7641) - 7277?", "solution_steps": ["Expand: 13x - 1296659 + 72574 = -27(x - 7641) - 7277", "Expand: 13x - 1296659 + 72574 = -27x + 206307 - 7277", "Combine constants: 13x - 1224085 = -27x + 206307 - 7277", "Combine constants: 13x - 1224085 = -27x + 199030", "Add 27x to both sides: 40x - 1224085 = 199030", "Add 1224085 to both sides: 40x = 1423115", "Divide both sides by 40: x = 284623/8"], "final_answer": "284623/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 99743) + 72574 = -27(x - 7641) - 7277", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 99743, \"c\": 72574, \"d\": -27, \"e\": 7641, \"f\": 7277}", "seed": "14513967138446311687", "semantic_fingerprint": "sha256:96f829fe79b8579a4dd9481b68c5f1cc56b47ec6da9ae2b5c0698eb252f696d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002824", "prompt": "Evaluate: 5720 * (3964 * (-4385) / (51030 + 2533))", "solution_steps": ["Multiply: 3964 * (-4385) = -17382140", "Add: 51030 + 2533 = 53563", "Divide: -17382140 / 53563 = -17382140/53563", "Multiply: 5720 * (-17382140/53563) = -99425840800/53563"], "final_answer": "-99425840800/53563", "answer_type": "rational", "kind": "expression", "math_text": "5720 * (3964 * (-4385) / (51030 + 2533))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5720, \"b\": 3964, \"c\": -4385, \"d\": 51030, \"e\": 2533}", "seed": "505407969973079484", "semantic_fingerprint": "sha256:b4521b81e09c6cbd15ccffd1e626770ae2730a3e7a13dc1603f0990f398c56dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002825", "prompt": "Compute: 75921 + 7701 - (-5781) - (-5701 / 2003 + (-4725))", "solution_steps": ["Add: 75921 + 7701 = 83622", "Subtract: 83622 - (-5781) = 89403", "Divide: -5701 / 2003 = -5701/2003", "Add: -5701/2003 + (-4725) = -9469876/2003", "Subtract: 89403 - (-9469876/2003) = 188544085/2003"], "final_answer": "188544085/2003", "answer_type": "rational", "kind": "expression", "math_text": "75921 + 7701 - (-5781) - (-5701 / 2003 + (-4725))", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 75921, \"b\": 7701, \"c\": -5781, \"d\": -5701, \"e\": 2003, \"f\": -4725}", "seed": "7200086650281554796", "semantic_fingerprint": "sha256:7b733672a525268648cd5eef4f0641eee7de5988aeae8302e1ead9773e37ae63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002826", "prompt": "What is (-4681 - 93219) / (-4754)?", "solution_steps": ["Subtract: -4681 - 93219 = -97900", "Divide: -97900 / (-4754) = 48950/2377"], "final_answer": "48950/2377", "answer_type": "rational", "kind": "expression", "math_text": "(-4681 - 93219) / (-4754)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4681, \"b\": 93219, \"c\": -4754}", "seed": "1976629897394389658", "semantic_fingerprint": "sha256:648990f78ce0d2192654e3a732013fed5555381d853727e906f68520e39832f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002827", "prompt": "Evaluate: 88606 + (-8384) + (-1028) / 5576", "solution_steps": ["Add: 88606 + (-8384) = 80222", "Divide: -1028 / 5576 = -257/1394", "Add: 80222 + (-257/1394) = 111829211/1394"], "final_answer": "111829211/1394", "answer_type": "rational", "kind": "expression", "math_text": "88606 + (-8384) + (-1028) / 5576", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 88606, \"b\": -8384, \"c\": -1028, \"d\": 5576}", "seed": "9848344303506367105", "semantic_fingerprint": "sha256:e6b194fb29ec90220b776dfe1eddb3f9b65ee30f14f78527a72ce4ef2a33a696", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002828", "prompt": "What value of x satisfies 40x = -1160?", "solution_steps": ["Divide both sides by 40: x = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = -1160", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -1160, \"x\": -29}", "seed": "9224382024177045856", "semantic_fingerprint": "sha256:b80049dcde47e183ff043967330bd55eee05c68e7df49c90faa211372a9a3dea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002829", "prompt": "What is -88141 + 8204?", "solution_steps": ["Add: -88141 + 8204 = -79937"], "final_answer": "-79937", "answer_type": "integer", "kind": "expression", "math_text": "-88141 + 8204", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -88141, \"b\": 8204}", "seed": "8068429410101075304", "semantic_fingerprint": "sha256:2ca30ca0d567dad269019f3bc14db0ff83300e7e209f7c96f0ccbcf4a59ab9af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002830", "prompt": "Solve the equation 28x = x - 3240 for x.", "solution_steps": ["Subtract x from both sides: 27x = -3240", "Divide both sides by 27: x = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = x - 3240", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": -3240, \"x\": -120}", "seed": "1854992194997323615", "semantic_fingerprint": "sha256:4094034544d21e482136a72935037f7119494740d14a833c86cab2f1125529b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002831", "prompt": "Compute: (1255 - (-91230 + (1476 - (-4572)))) * (-2561 - 9603)", "solution_steps": ["Subtract: 1476 - (-4572) = 6048", "Add: -91230 + 6048 = -85182", "Subtract: 1255 - (-85182) = 86437", "Subtract: -2561 - 9603 = -12164", "Multiply: 86437 * (-12164) = -1051419668"], "final_answer": "-1051419668", "answer_type": "integer", "kind": "expression", "math_text": "(1255 - (-91230 + (1476 - (-4572)))) * (-2561 - 9603)", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1255, \"b\": -91230, \"c\": 1476, \"d\": -4572, \"e\": -2561, \"f\": 9603}", "seed": "7487181692136846095", "semantic_fingerprint": "sha256:d3c289a6fac38bda9820ebaccfc1aa1993c61f940f6c3b56aa24ac919483dd92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002832", "prompt": "Solve for x: 33x + 1152 = x", "solution_steps": ["Subtract x from both sides: 32x + 1152 = 0", "Subtract 1152 from both sides: 32x = -1152", "Divide both sides by 32: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x + 1152 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 1152, \"x\": -36}", "seed": "2541087819808310292", "semantic_fingerprint": "sha256:685ee986b2cc513cc0c2138dfac4db20507d063d73ae50303b0f689d16657adb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002833", "prompt": "Evaluate: 1338 * (-7475) - 55606", "solution_steps": ["Multiply: 1338 * (-7475) = -10001550", "Subtract: -10001550 - 55606 = -10057156"], "final_answer": "-10057156", "answer_type": "integer", "kind": "expression", "math_text": "1338 * (-7475) - 55606", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1338, \"b\": -7475, \"c\": 55606}", "seed": "17983885912562669502", "semantic_fingerprint": "sha256:ccc8118fde4ad59a7d31f8478757d3aefc9c42ef3b1681556267810429a43a77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002834", "prompt": "Evaluate: (-7917 + 29903) / 72606", "solution_steps": ["Add: -7917 + 29903 = 21986", "Divide: 21986 / 72606 = 10993/36303"], "final_answer": "10993/36303", "answer_type": "rational", "kind": "expression", "math_text": "(-7917 + 29903) / 72606", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7917, \"b\": 29903, \"c\": 72606}", "seed": "14840594370323514116", "semantic_fingerprint": "sha256:94a74ff89b358aa8af9ecd86e8f5caa891540ae84b92675cb2967642f39ad3e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002835", "prompt": "Solve for x: -24(x - 69450) = -20x + 7913", "solution_steps": ["Expand: -24x + 1666800 = -20x + 7913", "Add 20x to both sides: -4x + 1666800 = 7913", "Subtract 1666800 from both sides: -4x = -1658887", "Divide both sides by -4: x = 1658887/4"], "final_answer": "1658887/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 69450) = -20x + 7913", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 69450, \"c\": -20, \"d\": 7913}", "seed": "1836365389886220055", "semantic_fingerprint": "sha256:982f4ccb39bb136d00c18480356438dbec12d38a61dfb7f1dc05d43c7a308ca0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002836", "prompt": "Solve for x: 22(x + 2326) = -37x + 45921", "solution_steps": ["Expand: 22x + 51172 = -37x + 45921", "Add 37x to both sides: 59x + 51172 = 45921", "Subtract 51172 from both sides: 59x = -5251", "Divide both sides by 59: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 2326) = -37x + 45921", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2326, \"c\": -37, \"e\": 45921, \"x\": -89}", "seed": "17805593208902995150", "semantic_fingerprint": "sha256:093bc2acb3486c25335215290667d51f594e6297e6fc64fd53d293f02a28753a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002837", "prompt": "Compute: 7819 - (6393 + (-97465 + 24118))", "solution_steps": ["Add: -97465 + 24118 = -73347", "Add: 6393 + (-73347) = -66954", "Subtract: 7819 - (-66954) = 74773"], "final_answer": "74773", "answer_type": "integer", "kind": "expression", "math_text": "7819 - (6393 + (-97465 + 24118))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7819, \"b\": 6393, \"c\": -97465, \"d\": 24118}", "seed": "17759428224660943615", "semantic_fingerprint": "sha256:4d290e0defb8c5624c9471d9af7b198f68ff75249bbe94fcd55f5e11c83e0982", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002838", "prompt": "What value of x satisfies -14x - 83754 = 3565?", "solution_steps": ["Add 83754 to both sides: -14x = 87319", "Divide both sides by -14: x = -87319/14"], "final_answer": "-87319/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x - 83754 = 3565", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 83754, \"c\": 3565}", "seed": "8180753482438115119", "semantic_fingerprint": "sha256:4d19607269e99e20ace4f665716284158e5eba3a62147153b1a7851e830e58ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002839", "prompt": "Evaluate: 1982 * (-45457) - (-41866) - (2374 + (-7756) / 2913)", "solution_steps": ["Multiply: 1982 * (-45457) = -90095774", "Subtract: -90095774 - (-41866) = -90053908", "Divide: -7756 / 2913 = -7756/2913", "Add: 2374 + (-7756/2913) = 6907706/2913", "Subtract: -90053908 - 6907706/2913 = -262333941710/2913"], "final_answer": "-262333941710/2913", "answer_type": "rational", "kind": "expression", "math_text": "1982 * (-45457) - (-41866) - (2374 + (-7756) / 2913)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (+ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1982, \"b\": -45457, \"c\": -41866, \"d\": 2374, \"e\": -7756, \"f\": 2913}", "seed": "7535904211292391457", "semantic_fingerprint": "sha256:56b585def022eca9b7657de08c5a6a635564dce31178f9aaddd3d7bb1461636d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002840", "prompt": "What is 2259 + 4464?", "solution_steps": ["Add: 2259 + 4464 = 6723"], "final_answer": "6723", "answer_type": "integer", "kind": "expression", "math_text": "2259 + 4464", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2259, \"b\": 4464}", "seed": "17064029962451850620", "semantic_fingerprint": "sha256:c6f807f0d3710e71b6f81d445eac49e701dc964b00072731bf8f550fd0ca13df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002841", "prompt": "What is (-18963 + 6263 - (-2192)) / 48022?", "solution_steps": ["Add: -18963 + 6263 = -12700", "Subtract: -12700 - (-2192) = -10508", "Divide: -10508 / 48022 = -5254/24011"], "final_answer": "-5254/24011", "answer_type": "rational", "kind": "expression", "math_text": "(-18963 + 6263 - (-2192)) / 48022", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18963, \"b\": 6263, \"c\": -2192, \"d\": 48022}", "seed": "4481415958641722821", "semantic_fingerprint": "sha256:21ebf92464f0da4be1dd85f566ebca46c00b5682fc1615b3e9580a3d50d6ff48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002842", "prompt": "What is 6745 - (-81499) - 6685?", "solution_steps": ["Subtract: 6745 - (-81499) = 88244", "Subtract: 88244 - 6685 = 81559"], "final_answer": "81559", "answer_type": "integer", "kind": "expression", "math_text": "6745 - (-81499) - 6685", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6745, \"b\": -81499, \"c\": 6685}", "seed": "6867405775797900997", "semantic_fingerprint": "sha256:70429ca703de513ef602043a8324c8640c2309720eefc093cf0b8da60aee5d55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002843", "prompt": "What is 59774 * (-71247) / (-4458)?", "solution_steps": ["Multiply: 59774 * (-71247) = -4258718178", "Divide: -4258718178 / (-4458) = 709786363/743"], "final_answer": "709786363/743", "answer_type": "rational", "kind": "expression", "math_text": "59774 * (-71247) / (-4458)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59774, \"b\": -71247, \"c\": -4458}", "seed": "17726896912397452671", "semantic_fingerprint": "sha256:b103542865fb0b024242b7624e5cf47c632a5169f9f2fd5d08f96789b228b308", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002844", "prompt": "What is 4914 + (-9385)?", "solution_steps": ["Add: 4914 + (-9385) = -4471"], "final_answer": "-4471", "answer_type": "integer", "kind": "expression", "math_text": "4914 + (-9385)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4914, \"b\": -9385}", "seed": "10490146833221634579", "semantic_fingerprint": "sha256:41e6a0ea792a57d2d55c54d75f17762c28897240ab7fb1169efc3f25bdf3edb6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002845", "prompt": "What value of x satisfies 15(x + 7953) = -34x + 92806?", "solution_steps": ["Expand: 15x + 119295 = -34x + 92806", "Add 34x to both sides: 49x + 119295 = 92806", "Subtract 119295 from both sides: 49x = -26489", "Divide both sides by 49: x = -26489/49"], "final_answer": "-26489/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 7953) = -34x + 92806", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 7953, \"c\": -34, \"d\": 92806}", "seed": "3744241778636169764", "semantic_fingerprint": "sha256:f3306514841308097a2fba3f4bfbf3bfe7f2c5223b07d4cc1443c6b681d910a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002846", "prompt": "What value of x satisfies 23(x - 8653) = 18(x + 4801)?", "solution_steps": ["Expand: 23x - 199019 = 18(x + 4801)", "Expand: 23x - 199019 = 18x + 86418", "Subtract 18x from both sides: 5x - 199019 = 86418", "Add 199019 to both sides: 5x = 285437", "Divide both sides by 5: x = 285437/5"], "final_answer": "285437/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 8653) = 18(x + 4801)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8653, \"c\": 18, \"d\": 4801}", "seed": "17361114152972626927", "semantic_fingerprint": "sha256:939fa708d39abf9c1c18c84e71365fe5ed570ad83a20e43db88aefd902636a80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002847", "prompt": "Calculate: 56172 - 76395 + (-10874 - (-36345) / (-85303))", "solution_steps": ["Subtract: 56172 - 76395 = -20223", "Divide: -36345 / (-85303) = 36345/85303", "Subtract: -10874 - 36345/85303 = -927621167/85303", "Add: -20223 + (-927621167/85303) = -2652703736/85303"], "final_answer": "-2652703736/85303", "answer_type": "rational", "kind": "expression", "math_text": "56172 - 76395 + (-10874 - (-36345) / (-85303))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 56172, \"b\": 76395, \"c\": -10874, \"d\": -36345, \"e\": -85303}", "seed": "10335251249043238682", "semantic_fingerprint": "sha256:0347421f0f78c7046815e722cf592944d1b2103a396a0a7d9fdb09b283788840", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002848", "prompt": "Find x: 36x + 92375 = 13x + 94813", "solution_steps": ["Subtract 13x from both sides: 23x + 92375 = 94813", "Subtract 92375 from both sides: 23x = 2438", "Divide both sides by 23: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 92375 = 13x + 94813", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 92375, \"c\": 13, \"e\": 94813, \"x\": 106}", "seed": "15308668222304703661", "semantic_fingerprint": "sha256:89dc2e32d4fb786680492de2761aabec6ce60aa4c7e66679915d0b9590900b24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002849", "prompt": "Calculate: -82072 * ((7888 - 2630) * (-1325)) - (-3560)", "solution_steps": ["Subtract: 7888 - 2630 = 5258", "Multiply: 5258 * (-1325) = -6966850", "Multiply: -82072 * (-6966850) = 571783313200", "Subtract: 571783313200 - (-3560) = 571783316760"], "final_answer": "571783316760", "answer_type": "integer", "kind": "expression", "math_text": "-82072 * ((7888 - 2630) * (-1325)) - (-3560)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -82072, \"b\": 7888, \"c\": 2630, \"d\": -1325, \"e\": -3560}", "seed": "4618580524544167222", "semantic_fingerprint": "sha256:9e37a20df0ce4a33f5738e78457dd2de56d44f4b428272ed19c5cc942e08a1c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002850", "prompt": "Evaluate: 62938 + 8628 + (-8532 - (-11874 + 4525 + (-91684)))", "solution_steps": ["Add: 62938 + 8628 = 71566", "Add: -11874 + 4525 = -7349", "Add: -7349 + (-91684) = -99033", "Subtract: -8532 - (-99033) = 90501", "Add: 71566 + 90501 = 162067"], "final_answer": "162067", "answer_type": "integer", "kind": "expression", "math_text": "62938 + 8628 + (-8532 - (-11874 + 4525 + (-91684)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 62938, \"b\": 8628, \"c\": -8532, \"d\": -11874, \"e\": 4525, \"f\": -91684}", "seed": "9148147097674830055", "semantic_fingerprint": "sha256:b7621ac0152bbb455c50113de9312ab11db8def62c018e593fcea54c89ea47e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002851", "prompt": "Calculate: -2240 - (-5488 - (-4837 + 11440))", "solution_steps": ["Add: -4837 + 11440 = 6603", "Subtract: -5488 - 6603 = -12091", "Subtract: -2240 - (-12091) = 9851"], "final_answer": "9851", "answer_type": "integer", "kind": "expression", "math_text": "-2240 - (-5488 - (-4837 + 11440))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2240, \"b\": -5488, \"c\": -4837, \"d\": 11440}", "seed": "7078667145614711610", "semantic_fingerprint": "sha256:f9f9381f9590dc402f17cb6dec3431db001c452822b5a8934a868e8df009401d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002852", "prompt": "Calculate: (7855 - 59281) / 38157 * (-23092)", "solution_steps": ["Subtract: 7855 - 59281 = -51426", "Divide: -51426 / 38157 = -17142/12719", "Multiply: (-17142/12719) * (-23092) = 17210568/553"], "final_answer": "17210568/553", "answer_type": "rational", "kind": "expression", "math_text": "(7855 - 59281) / 38157 * (-23092)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7855, \"b\": 59281, \"c\": 38157, \"d\": -23092}", "seed": "18027891232084889372", "semantic_fingerprint": "sha256:84c39087b23cabdee6ad00c65ecee518ed1a521fb0dc45e5b412bde96e49118a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002853", "prompt": "Evaluate: 5655 / 1996 - (-9303)", "solution_steps": ["Divide: 5655 / 1996 = 5655/1996", "Subtract: 5655/1996 - (-9303) = 18574443/1996"], "final_answer": "18574443/1996", "answer_type": "rational", "kind": "expression", "math_text": "5655 / 1996 - (-9303)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5655, \"b\": 1996, \"c\": -9303}", "seed": "5485397722384202000", "semantic_fingerprint": "sha256:575f068a77f0b12b518836741db4b98323a8434a529bc8d486a5f17a49867b89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002854", "prompt": "Compute: 6555 * (-6192) - (-1888)", "solution_steps": ["Multiply: 6555 * (-6192) = -40588560", "Subtract: -40588560 - (-1888) = -40586672"], "final_answer": "-40586672", "answer_type": "integer", "kind": "expression", "math_text": "6555 * (-6192) - (-1888)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6555, \"b\": -6192, \"c\": -1888}", "seed": "2059025106422718867", "semantic_fingerprint": "sha256:fd5ad240445f64ea278319e863eaf439d83d44c14cda3193fd06dbdc2d00db83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002855", "prompt": "What is 31321 * 6550?", "solution_steps": ["Multiply: 31321 * 6550 = 205152550"], "final_answer": "205152550", "answer_type": "integer", "kind": "expression", "math_text": "31321 * 6550", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 31321, \"b\": 6550}", "seed": "18287270703970135833", "semantic_fingerprint": "sha256:c88df2c14471166eb6c2a7070ebcdf9efa82807a1fb693ef93cce4355fe9eacd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002856", "prompt": "Solve the equation x - 4373 = 26x for x.", "solution_steps": ["Subtract 26x from both sides: -25x - 4373 = 0", "Add 4373 to both sides: -25x = 4373", "Divide both sides by -25: x = -4373/25"], "final_answer": "-4373/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4373 = 26x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4373, \"b\": 26}", "seed": "3043736516703550485", "semantic_fingerprint": "sha256:942bd36682b74f3d8df07cf2d58433af1f2f42ef92896b67125388f70c42bba0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002857", "prompt": "Solve for x: -15(x - 5470) + 2628 = -24(x - 4600) - 24732", "solution_steps": ["Expand: -15x + 82050 + 2628 = -24(x - 4600) - 24732", "Expand: -15x + 82050 + 2628 = -24x + 110400 - 24732", "Combine constants: -15x + 84678 = -24x + 110400 - 24732", "Combine constants: -15x + 84678 = -24x + 85668", "Add 24x to both sides: 9x + 84678 = 85668", "Subtract 84678 from both sides: 9x = 990", "Divide both sides by 9: x = 110"], "final_answer": "110", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x - 5470) + 2628 = -24(x - 4600) - 24732", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 5470, \"c\": 2628, \"d\": -24, \"e\": 4600, \"g\": -24732, \"x\": 110}", "seed": "9857569573923861567", "semantic_fingerprint": "sha256:64ee7239e17ad115f799a9e0fd5986fe8b110d8ad70976b3f6af980140bbbb3f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002858", "prompt": "Solve for x: 30x = -13(x - 42187)", "solution_steps": ["Expand: 30x = -13x + 548431", "Add 13x to both sides: 43x = 548431", "Divide both sides by 43: x = 548431/43"], "final_answer": "548431/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = -13(x - 42187)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -13, \"c\": 42187}", "seed": "10351532842713502846", "semantic_fingerprint": "sha256:96d42f64bcc1147f5ec7b6faebb0b9f12642441b369451259e342c61083037ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002859", "prompt": "Compute: (6770 + 94294) / (-9178)", "solution_steps": ["Add: 6770 + 94294 = 101064", "Divide: 101064 / (-9178) = -50532/4589"], "final_answer": "-50532/4589", "answer_type": "rational", "kind": "expression", "math_text": "(6770 + 94294) / (-9178)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6770, \"b\": 94294, \"c\": -9178}", "seed": "6230749217293812915", "semantic_fingerprint": "sha256:0fe1f32f0e3ed6ee6fdb85fb4e3062397207eb661469ab2cfdf65106c137a5e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002860", "prompt": "What is -58865 + (-6865 / (5754 / 74360) + (-66637))?", "solution_steps": ["Divide: 5754 / 74360 = 2877/37180", "Divide: -6865 / (2877/37180) = -255240700/2877", "Add: -255240700/2877 + (-66637) = -446955349/2877", "Add: -58865 + (-446955349/2877) = -616309954/2877"], "final_answer": "-616309954/2877", "answer_type": "rational", "kind": "expression", "math_text": "-58865 + (-6865 / (5754 / 74360) + (-66637))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -58865, \"b\": -6865, \"c\": 5754, \"d\": 74360, \"e\": -66637}", "seed": "5049813973191140427", "semantic_fingerprint": "sha256:11d10564f55fd7c71146e5c09aad8249ed1eb6cabfe970ae9cbf506966f7c3b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002861", "prompt": "Find x: x = 27x + 2444", "solution_steps": ["Subtract 27x from both sides: -26x = 2444", "Divide both sides by -26: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 27x + 2444", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": 2444, \"x\": -94}", "seed": "1258355181927532661", "semantic_fingerprint": "sha256:e9453934ff0f0892beabb6acb00ca10fc29551f95e981abf68e29afc4d8a6925", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002862", "prompt": "What is 2160 - (-2648) * (-59432 + 42268)?", "solution_steps": ["Add: -59432 + 42268 = -17164", "Multiply: -2648 * (-17164) = 45450272", "Subtract: 2160 - 45450272 = -45448112"], "final_answer": "-45448112", "answer_type": "integer", "kind": "expression", "math_text": "2160 - (-2648) * (-59432 + 42268)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2160, \"b\": -2648, \"c\": -59432, \"d\": 42268}", "seed": "5640405004197672236", "semantic_fingerprint": "sha256:c23145933900d18303f721de4d53fcd35080dee4aeac723815ca8b8159ca9387", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002863", "prompt": "What is -6486 - (6969 + (6191 - 1395)) / (-94338 - (-20384))?", "solution_steps": ["Subtract: 6191 - 1395 = 4796", "Add: 6969 + 4796 = 11765", "Subtract: -94338 - (-20384) = -73954", "Divide: 11765 / (-73954) = -11765/73954", "Subtract: -6486 - (-11765/73954) = -479653879/73954"], "final_answer": "-479653879/73954", "answer_type": "rational", "kind": "expression", "math_text": "-6486 - (6969 + (6191 - 1395)) / (-94338 - (-20384))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n (- n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6486, \"b\": 6969, \"c\": 6191, \"d\": 1395, \"e\": -94338, \"f\": -20384}", "seed": "16666960494117660530", "semantic_fingerprint": "sha256:b83f3afe78df65712a3d988553f3217f4928177950a4d6fe08d2f7e997f613d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002864", "prompt": "Compute: 3314 - 80041", "solution_steps": ["Subtract: 3314 - 80041 = -76727"], "final_answer": "-76727", "answer_type": "integer", "kind": "expression", "math_text": "3314 - 80041", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3314, \"b\": 80041}", "seed": "6099911512595434572", "semantic_fingerprint": "sha256:37f27193eae22e7658a34333cc5e0825ab264f91d226deeff77b6494fdc628de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002865", "prompt": "Compute: 8935 * 53757", "solution_steps": ["Multiply: 8935 * 53757 = 480318795"], "final_answer": "480318795", "answer_type": "integer", "kind": "expression", "math_text": "8935 * 53757", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8935, \"b\": 53757}", "seed": "275062327502385342", "semantic_fingerprint": "sha256:ff26fb688bf20315929dde98e667dad320dcf851044f5e3eeae7dc5c454473de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002866", "prompt": "Evaluate: 6036 + 4987", "solution_steps": ["Add: 6036 + 4987 = 11023"], "final_answer": "11023", "answer_type": "integer", "kind": "expression", "math_text": "6036 + 4987", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6036, \"b\": 4987}", "seed": "17552098585336435113", "semantic_fingerprint": "sha256:b6ea59d26cabe3b296a6095d8fa7322408f6e2aa55c66887853a2fad88be0a22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002867", "prompt": "Compute: -1715 * 2779 / (-9331)", "solution_steps": ["Multiply: -1715 * 2779 = -4765985", "Divide: -4765985 / (-9331) = 680855/1333"], "final_answer": "680855/1333", "answer_type": "rational", "kind": "expression", "math_text": "-1715 * 2779 / (-9331)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1715, \"b\": 2779, \"c\": -9331}", "seed": "9527836963195041974", "semantic_fingerprint": "sha256:ed78a8fa2c901c294402fe9590a17fb8131f78b1acc727da6586ac5296e626d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002868", "prompt": "What is 60712 * (-52845)?", "solution_steps": ["Multiply: 60712 * (-52845) = -3208325640"], "final_answer": "-3208325640", "answer_type": "integer", "kind": "expression", "math_text": "60712 * (-52845)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60712, \"b\": -52845}", "seed": "3916330485410202267", "semantic_fingerprint": "sha256:de209c1b2eca4452b671d7b77ed56171333efc2b2b20b321d78d5ca085023e17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002869", "prompt": "Solve the equation 37x + 7092 = x for x.", "solution_steps": ["Subtract x from both sides: 36x + 7092 = 0", "Subtract 7092 from both sides: 36x = -7092", "Divide both sides by 36: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x + 7092 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": 7092, \"x\": -197}", "seed": "14275689279383169123", "semantic_fingerprint": "sha256:d2deb06a68e4e7d1df08534d991577f3e951b2e1a79c849d9d67cc048785ff24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002870", "prompt": "Calculate: 7609 + (3196 + (-4147))", "solution_steps": ["Add: 3196 + (-4147) = -951", "Add: 7609 + (-951) = 6658"], "final_answer": "6658", "answer_type": "integer", "kind": "expression", "math_text": "7609 + (3196 + (-4147))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7609, \"b\": 3196, \"c\": -4147}", "seed": "213491986076973242", "semantic_fingerprint": "sha256:39db3a6af2a4590e7e797b58b785ea32efe4f62e1cdcc0d57bdfe0e3507633e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002871", "prompt": "Compute: 81548 - 4535 - (-70947)", "solution_steps": ["Subtract: 81548 - 4535 = 77013", "Subtract: 77013 - (-70947) = 147960"], "final_answer": "147960", "answer_type": "integer", "kind": "expression", "math_text": "81548 - 4535 - (-70947)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81548, \"b\": 4535, \"c\": -70947}", "seed": "13098570540924147597", "semantic_fingerprint": "sha256:32813b0fbe37aa8e5fc05ff448281a1d4dc385cc5eb561cee1419ab152e1a0b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002872", "prompt": "Find x: x + 1815 = -65443", "solution_steps": ["Subtract 1815 from both sides: x = -67258"], "final_answer": "-67258", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1815 = -65443", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1815, \"b\": -65443}", "seed": "17135420774033497457", "semantic_fingerprint": "sha256:cc1364c3710c13bc0ce173a644e586282e373d111ab5a60fc5182ad7ab7ae574", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002873", "prompt": "What is -8736 / (-77599 / (-98077))?", "solution_steps": ["Divide: -77599 / (-98077) = 77599/98077", "Divide: -8736 / (77599/98077) = -856800672/77599"], "final_answer": "-856800672/77599", "answer_type": "rational", "kind": "expression", "math_text": "-8736 / (-77599 / (-98077))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8736, \"b\": -77599, \"c\": -98077}", "seed": "16595519826430742528", "semantic_fingerprint": "sha256:41217c294d64da00b0d1eaa8782add64d998efed5c3dc1d6dc90d8766dbb1b85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002874", "prompt": "Find x: 31x = x - 1500", "solution_steps": ["Subtract x from both sides: 30x = -1500", "Divide both sides by 30: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = x - 1500", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -1500, \"x\": -50}", "seed": "13423531494232902297", "semantic_fingerprint": "sha256:bfed1a2398462b7d0f9f70ca6d4d62002177062b7d2f2139cdd9070c06c354ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002875", "prompt": "Solve the equation -33(x - 44134) = 20x for x.", "solution_steps": ["Expand: -33x + 1456422 = 20x", "Subtract 20x from both sides: -53x + 1456422 = 0", "Subtract 1456422 from both sides: -53x = -1456422", "Divide both sides by -53: x = 1456422/53"], "final_answer": "1456422/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 44134) = 20x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 44134, \"c\": 20}", "seed": "5560969264483771902", "semantic_fingerprint": "sha256:8b4619e5da0d745d3876f1fecb768fc36c5bc1eff74a07d7d312031c8807418f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002876", "prompt": "Evaluate: 2203 / (-6301) * (5270 - 4040 + (-2856))", "solution_steps": ["Divide: 2203 / (-6301) = -2203/6301", "Subtract: 5270 - 4040 = 1230", "Add: 1230 + (-2856) = -1626", "Multiply: (-2203/6301) * (-1626) = 3582078/6301"], "final_answer": "3582078/6301", "answer_type": "rational", "kind": "expression", "math_text": "2203 / (-6301) * (5270 - 4040 + (-2856))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2203, \"b\": -6301, \"c\": 5270, \"d\": 4040, \"e\": -2856}", "seed": "9547073792971870647", "semantic_fingerprint": "sha256:6e611ae05f55e51e1d7e76f8d1286a0b7eb4ada99bc2b0b17fa20c5b238c38b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002877", "prompt": "What value of x satisfies 20(x - 8030) - 23396 = 37(x + 34320)?", "solution_steps": ["Expand: 20x - 160600 - 23396 = 37(x + 34320)", "Expand: 20x - 160600 - 23396 = 37x + 1269840", "Combine constants: 20x - 183996 = 37x + 1269840", "Subtract 37x from both sides: -17x - 183996 = 1269840", "Add 183996 to both sides: -17x = 1453836", "Divide both sides by -17: x = -1453836/17"], "final_answer": "-1453836/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 8030) - 23396 = 37(x + 34320)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 8030, \"c\": 23396, \"d\": 37, \"e\": 34320}", "seed": "5742938478817695670", "semantic_fingerprint": "sha256:4f7ac344ae7ffedeb8752202b4f5f3cf8106319b7a1f7d9532f9a50ee042e421", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002878", "prompt": "Evaluate: -4698 / 98489 * (6041 * (-4864))", "solution_steps": ["Divide: -4698 / 98489 = -4698/98489", "Multiply: 6041 * (-4864) = -29383424", "Multiply: (-4698/98489) * (-29383424) = 138043325952/98489"], "final_answer": "138043325952/98489", "answer_type": "rational", "kind": "expression", "math_text": "-4698 / 98489 * (6041 * (-4864))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4698, \"b\": 98489, \"c\": 6041, \"d\": -4864}", "seed": "2134049327406051452", "semantic_fingerprint": "sha256:04c62dc3818258fb82883f994db6018c2ebd3d16376195d87b956e1c3f8bc96b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002879", "prompt": "Calculate: -45917 - (4725 - 71531 * 57332)", "solution_steps": ["Multiply: 71531 * 57332 = 4101015292", "Subtract: 4725 - 4101015292 = -4101010567", "Subtract: -45917 - (-4101010567) = 4100964650"], "final_answer": "4100964650", "answer_type": "integer", "kind": "expression", "math_text": "-45917 - (4725 - 71531 * 57332)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45917, \"b\": 4725, \"c\": 71531, \"d\": 57332}", "seed": "11162908660434894319", "semantic_fingerprint": "sha256:e77f53db268665b88e75ba82db1424979ec4eccbe3b7f7f6d83558c6f3cee425", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002880", "prompt": "What is -5174 / (72028 / 85521)?", "solution_steps": ["Divide: 72028 / 85521 = 72028/85521", "Divide: -5174 / (72028/85521) = -221242827/36014"], "final_answer": "-221242827/36014", "answer_type": "rational", "kind": "expression", "math_text": "-5174 / (72028 / 85521)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5174, \"b\": 72028, \"c\": 85521}", "seed": "1281801187203753115", "semantic_fingerprint": "sha256:ec66854b410ab5ee3ef0564d3a94e1652bf3dbfc711997d92dc8c2150b14ae16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002881", "prompt": "Calculate: -6588 + (-2031) + (-9750)", "solution_steps": ["Add: -6588 + (-2031) = -8619", "Add: -8619 + (-9750) = -18369"], "final_answer": "-18369", "answer_type": "integer", "kind": "expression", "math_text": "-6588 + (-2031) + (-9750)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6588, \"b\": -2031, \"c\": -9750}", "seed": "5368142032117339944", "semantic_fingerprint": "sha256:97912ea65d844d9c3bcd4de68813c0a02f495b978d182e778c950ae9d98d4628", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002882", "prompt": "What is -95787 - (-4814) - 8531?", "solution_steps": ["Subtract: -95787 - (-4814) = -90973", "Subtract: -90973 - 8531 = -99504"], "final_answer": "-99504", "answer_type": "integer", "kind": "expression", "math_text": "-95787 - (-4814) - 8531", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95787, \"b\": -4814, \"c\": 8531}", "seed": "7644513663582626485", "semantic_fingerprint": "sha256:aaf0a0ff6a095f257b2ce5c214744bba9754b816f6d9b0c2e1902ef24c8d5374", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002883", "prompt": "What value of x satisfies x = -25(x - 2783) - 73111?", "solution_steps": ["Expand: x = -25x + 69575 - 73111", "Combine constants: x = -25x - 3536", "Add 25x to both sides: 26x = -3536", "Divide both sides by 26: x = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -25(x - 2783) - 73111", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 2783, \"d\": -73111, \"x\": -136}", "seed": "2760811887555468274", "semantic_fingerprint": "sha256:f5d9f3d5a43ce0730fe3c757cfe3d860e7760b478bfee26bb4e690fe953810ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002884", "prompt": "Solve for x: 37x = 16x - 4095", "solution_steps": ["Subtract 16x from both sides: 21x = -4095", "Divide both sides by 21: x = -195"], "final_answer": "-195", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = 16x - 4095", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 16, \"d\": -4095, \"x\": -195}", "seed": "18286461171441523391", "semantic_fingerprint": "sha256:83d97aae71320343a442826201fdbc99cc967692864740daffa537c280c64301", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002885", "prompt": "Solve for x: x + 6477 = -28x + 4621", "solution_steps": ["Add 28x to both sides: 29x + 6477 = 4621", "Subtract 6477 from both sides: 29x = -1856", "Divide both sides by 29: x = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6477 = -28x + 4621", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6477, \"b\": -28, \"d\": 4621, \"x\": -64}", "seed": "6904527564653807419", "semantic_fingerprint": "sha256:b4a94382c27bd4440de6903d13fa59a7801c1f1cccb2024ffa4fcfb3555e418d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002886", "prompt": "Solve the equation -20x = x - 1701 for x.", "solution_steps": ["Subtract x from both sides: -21x = -1701", "Divide both sides by -21: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = x - 1701", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"c\": -1701, \"x\": 81}", "seed": "7352849558387953463", "semantic_fingerprint": "sha256:90310ba7ef30450c65aef99fb9b822201ab3f9691127ae4baa2938d2da77db29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002887", "prompt": "What is (-6222 + 9017) / (-70186)?", "solution_steps": ["Add: -6222 + 9017 = 2795", "Divide: 2795 / (-70186) = -2795/70186"], "final_answer": "-2795/70186", "answer_type": "rational", "kind": "expression", "math_text": "(-6222 + 9017) / (-70186)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6222, \"b\": 9017, \"c\": -70186}", "seed": "16998897175198402699", "semantic_fingerprint": "sha256:553edd10e4b4802097779457754d45249c588b99af2d44ef1878515e78483abb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002888", "prompt": "What is -9420 - (-36511)?", "solution_steps": ["Subtract: -9420 - (-36511) = 27091"], "final_answer": "27091", "answer_type": "integer", "kind": "expression", "math_text": "-9420 - (-36511)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9420, \"b\": -36511}", "seed": "6064821521861876437", "semantic_fingerprint": "sha256:2651b7323187ddcbbbc623749ef090cb263c4aeaed748a9f9b8629e7f3c6de8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002889", "prompt": "What is (-9617 + (-2057)) / (-9742 - (-7051))?", "solution_steps": ["Add: -9617 + (-2057) = -11674", "Subtract: -9742 - (-7051) = -2691", "Divide: -11674 / (-2691) = 898/207"], "final_answer": "898/207", "answer_type": "rational", "kind": "expression", "math_text": "(-9617 + (-2057)) / (-9742 - (-7051))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9617, \"b\": -2057, \"c\": -9742, \"d\": -7051}", "seed": "17832190240619251174", "semantic_fingerprint": "sha256:c90ead6fb40af52950c5e438968600ea73c45444dbc560598f623aa588136269", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002890", "prompt": "Solve for x: x = -15x + 2288", "solution_steps": ["Add 15x to both sides: 16x = 2288", "Divide both sides by 16: x = 143"], "final_answer": "143", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -15x + 2288", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15, \"c\": 2288, \"x\": 143}", "seed": "5995606949486775402", "semantic_fingerprint": "sha256:341464b0f914faa445d839c7bdbc215ede94c16401641a9312dad630b8a451b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002891", "prompt": "Calculate: -6500 / (9228 - 5881) + 35777", "solution_steps": ["Subtract: 9228 - 5881 = 3347", "Divide: -6500 / 3347 = -6500/3347", "Add: -6500/3347 + 35777 = 119739119/3347"], "final_answer": "119739119/3347", "answer_type": "rational", "kind": "expression", "math_text": "-6500 / (9228 - 5881) + 35777", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6500, \"b\": 9228, \"c\": 5881, \"d\": 35777}", "seed": "2675090065801027294", "semantic_fingerprint": "sha256:1a98636eabdba2d90595c31cb96820ac0711d79da0cef45c0d7779ba5128387d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002892", "prompt": "Solve the equation x - 5315 = 34x - 7658 for x.", "solution_steps": ["Subtract 34x from both sides: -33x - 5315 = -7658", "Add 5315 to both sides: -33x = -2343", "Divide both sides by -33: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5315 = 34x - 7658", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5315, \"b\": 34, \"d\": -7658, \"x\": 71}", "seed": "14279072221930755801", "semantic_fingerprint": "sha256:2f832ec5d85246a5e86dccf3098b727822127f24111343d033c4358d9a4c3b8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002893", "prompt": "Compute: 3696 + (-20938 + (-98121))", "solution_steps": ["Add: -20938 + (-98121) = -119059", "Add: 3696 + (-119059) = -115363"], "final_answer": "-115363", "answer_type": "integer", "kind": "expression", "math_text": "3696 + (-20938 + (-98121))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3696, \"b\": -20938, \"c\": -98121}", "seed": "8558974752732923002", "semantic_fingerprint": "sha256:4dc113ead06ce3b5f26697cb0c7966a49dc856ae0714bd0b0ce2baa8256a1e18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002894", "prompt": "What is -6106 / (61897 + (-19728)) - 10772?", "solution_steps": ["Add: 61897 + (-19728) = 42169", "Divide: -6106 / 42169 = -6106/42169", "Subtract: -6106/42169 - 10772 = -454250574/42169"], "final_answer": "-454250574/42169", "answer_type": "rational", "kind": "expression", "math_text": "-6106 / (61897 + (-19728)) - 10772", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6106, \"b\": 61897, \"c\": -19728, \"d\": 10772}", "seed": "17549126130480867304", "semantic_fingerprint": "sha256:60bd21ed0a2c505d4b0de8575a551bb4bb2c0945506a862542eac2d238c55cd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002895", "prompt": "Evaluate: 2281 * (5857 - (-3336))", "solution_steps": ["Subtract: 5857 - (-3336) = 9193", "Multiply: 2281 * 9193 = 20969233"], "final_answer": "20969233", "answer_type": "integer", "kind": "expression", "math_text": "2281 * (5857 - (-3336))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2281, \"b\": 5857, \"c\": -3336}", "seed": "9838396418843486267", "semantic_fingerprint": "sha256:848b729f07d49ce72319a54607b50d37edf1beac3ab92d29af9d9c3287ced532", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002896", "prompt": "What value of x satisfies x + 1035 = 16x?", "solution_steps": ["Subtract 16x from both sides: -15x + 1035 = 0", "Subtract 1035 from both sides: -15x = -1035", "Divide both sides by -15: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1035 = 16x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"c\": 1035, \"x\": 69}", "seed": "6837006372118696406", "semantic_fingerprint": "sha256:e4207fbac0b607f081f742a008a35a343fa4aa62667a1a9ba7827d2f01adca85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002897", "prompt": "Compute: 10535 * (-2930) - 41722 - (-18955)", "solution_steps": ["Multiply: 10535 * (-2930) = -30867550", "Subtract: -30867550 - 41722 = -30909272", "Subtract: -30909272 - (-18955) = -30890317"], "final_answer": "-30890317", "answer_type": "integer", "kind": "expression", "math_text": "10535 * (-2930) - 41722 - (-18955)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10535, \"b\": -2930, \"c\": 41722, \"d\": -18955}", "seed": "18010222632124089532", "semantic_fingerprint": "sha256:e52f7921dd53215c24f8b04a6f07fe39c6e7608caa45ee405be973d631a545f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002898", "prompt": "Evaluate: -1640 - (-3353) - (-4122 - (-7725) / 5230)", "solution_steps": ["Subtract: -1640 - (-3353) = 1713", "Divide: -7725 / 5230 = -1545/1046", "Subtract: -4122 - (-1545/1046) = -4310067/1046", "Subtract: 1713 - (-4310067/1046) = 6101865/1046"], "final_answer": "6101865/1046", "answer_type": "rational", "kind": "expression", "math_text": "-1640 - (-3353) - (-4122 - (-7725) / 5230)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1640, \"b\": -3353, \"c\": -4122, \"d\": -7725, \"e\": 5230}", "seed": "3201800463576446757", "semantic_fingerprint": "sha256:2f95238e508adf6885224b1de0f270ed89e97986082d5c1463ef496354894b1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002899", "prompt": "Solve for x: 38x + 1348 = 9002", "solution_steps": ["Subtract 1348 from both sides: 38x = 7654", "Divide both sides by 38: x = 3827/19"], "final_answer": "3827/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 1348 = 9002", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 1348, \"c\": 9002}", "seed": "16355997292309029096", "semantic_fingerprint": "sha256:3bbe5169f5a9064deb69c2b2904389760098bd1da4b92652f719287517946a6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002900", "prompt": "Evaluate: -67623 * (-1693) + (-55775)", "solution_steps": ["Multiply: -67623 * (-1693) = 114485739", "Add: 114485739 + (-55775) = 114429964"], "final_answer": "114429964", "answer_type": "integer", "kind": "expression", "math_text": "-67623 * (-1693) + (-55775)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67623, \"b\": -1693, \"c\": -55775}", "seed": "12441743235899086784", "semantic_fingerprint": "sha256:506bf7fd2ba9e31d709938b445cbe3c7ded7d1a4713dfced885b9464b34c2d54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002901", "prompt": "What is 3568 * 9730 + (27441 - 49493) + (-51020) * (-7494)?", "solution_steps": ["Multiply: 3568 * 9730 = 34716640", "Subtract: 27441 - 49493 = -22052", "Add: 34716640 + (-22052) = 34694588", "Multiply: -51020 * (-7494) = 382343880", "Add: 34694588 + 382343880 = 417038468"], "final_answer": "417038468", "answer_type": "integer", "kind": "expression", "math_text": "3568 * 9730 + (27441 - 49493) + (-51020) * (-7494)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3568, \"b\": 9730, \"c\": 27441, \"d\": 49493, \"e\": -51020, \"f\": -7494}", "seed": "7208301770943660841", "semantic_fingerprint": "sha256:82b36ddd00e60e416754fc3fc14549d81bbf5a5bf9aaa5421a4000184d0cc6a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002902", "prompt": "Calculate: -11936 / (-95772) + (-24074) - 81738", "solution_steps": ["Divide: -11936 / (-95772) = 2984/23943", "Add: 2984/23943 + (-24074) = -576400798/23943", "Subtract: -576400798/23943 - 81738 = -2533453732/23943"], "final_answer": "-2533453732/23943", "answer_type": "rational", "kind": "expression", "math_text": "-11936 / (-95772) + (-24074) - 81738", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -11936, \"b\": -95772, \"c\": -24074, \"d\": 81738}", "seed": "15520082250219245669", "semantic_fingerprint": "sha256:e8769df2b10f630adbba38fbe21276e32cf83ec6bb191273e0591d24e53b81d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002903", "prompt": "Evaluate: -96807 * (-86808 - (-5602))", "solution_steps": ["Subtract: -86808 - (-5602) = -81206", "Multiply: -96807 * (-81206) = 7861309242"], "final_answer": "7861309242", "answer_type": "integer", "kind": "expression", "math_text": "-96807 * (-86808 - (-5602))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96807, \"b\": -86808, \"c\": -5602}", "seed": "11800921359438766458", "semantic_fingerprint": "sha256:5e025be62e2475b2164305fef0f59562228cd0763c6766a80df59917e4c42e2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002904", "prompt": "Compute: 3883 * 6213", "solution_steps": ["Multiply: 3883 * 6213 = 24125079"], "final_answer": "24125079", "answer_type": "integer", "kind": "expression", "math_text": "3883 * 6213", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3883, \"b\": 6213}", "seed": "14960091637157364290", "semantic_fingerprint": "sha256:f1fdb83666d07deeeab756c2d5099e83c0779c67ae3f05db9661fa09ff848b4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002905", "prompt": "Calculate: -41799 - (-8286) / 9105", "solution_steps": ["Divide: -8286 / 9105 = -2762/3035", "Subtract: -41799 - (-2762/3035) = -126857203/3035"], "final_answer": "-126857203/3035", "answer_type": "rational", "kind": "expression", "math_text": "-41799 - (-8286) / 9105", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41799, \"b\": -8286, \"c\": 9105}", "seed": "7565560457943366151", "semantic_fingerprint": "sha256:8a55e431d07bb03d60d014c90eb7c7e31a61300f359efce94409bc05eac57bac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002906", "prompt": "Compute: 15653 * (-1686 / 4215 + (-4109))", "solution_steps": ["Divide: -1686 / 4215 = -2/5", "Add: -2/5 + (-4109) = -20547/5", "Multiply: 15653 * (-20547/5) = -321622191/5"], "final_answer": "-321622191/5", "answer_type": "rational", "kind": "expression", "math_text": "15653 * (-1686 / 4215 + (-4109))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15653, \"b\": -1686, \"c\": 4215, \"d\": -4109}", "seed": "12209808218551910901", "semantic_fingerprint": "sha256:f9e001f976bd9f5f698d7a0a39e83a290a22d7472559b03db94c518c292a3a9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002907", "prompt": "Evaluate: -8557 + 18478", "solution_steps": ["Add: -8557 + 18478 = 9921"], "final_answer": "9921", "answer_type": "integer", "kind": "expression", "math_text": "-8557 + 18478", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8557, \"b\": 18478}", "seed": "18425677083966593309", "semantic_fingerprint": "sha256:e297ae4b3b53e327fe62648a06a9475738ae2afd4e6f55ee8512841cd6d53610", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002908", "prompt": "Compute: 35622 - (-8068 + 47216)", "solution_steps": ["Add: -8068 + 47216 = 39148", "Subtract: 35622 - 39148 = -3526"], "final_answer": "-3526", "answer_type": "integer", "kind": "expression", "math_text": "35622 - (-8068 + 47216)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35622, \"b\": -8068, \"c\": 47216}", "seed": "16658896249607404683", "semantic_fingerprint": "sha256:718c7804ae4c7cc641ddbe9135d55da3b697d570228b477696d92222c584bc27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002909", "prompt": "Solve for x: -26x - 2479 = 13x + 72960", "solution_steps": ["Subtract 13x from both sides: -39x - 2479 = 72960", "Add 2479 to both sides: -39x = 75439", "Divide both sides by -39: x = -5803/3"], "final_answer": "-5803/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26x - 2479 = 13x + 72960", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 2479, \"c\": 13, \"d\": 72960}", "seed": "535331120302105625", "semantic_fingerprint": "sha256:6eaaa0315c284dfd88bd4c5f3223ee759dd746a1f047b0b66856f4fa412ff12b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002910", "prompt": "What value of x satisfies -29(x - 96740) = 19x?", "solution_steps": ["Expand: -29x + 2805460 = 19x", "Subtract 19x from both sides: -48x + 2805460 = 0", "Subtract 2805460 from both sides: -48x = -2805460", "Divide both sides by -48: x = 701365/12"], "final_answer": "701365/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 96740) = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 96740, \"c\": 19}", "seed": "17523832773100083935", "semantic_fingerprint": "sha256:afb3f06305f903dfd5745f4e950d75b1fbdfb55565427aaff009271b41d4900b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002911", "prompt": "Compute: 25864 + (-9557 + 1903) - (-8779) - (-49765) * (-85566)", "solution_steps": ["Add: -9557 + 1903 = -7654", "Add: 25864 + (-7654) = 18210", "Subtract: 18210 - (-8779) = 26989", "Multiply: -49765 * (-85566) = 4258191990", "Subtract: 26989 - 4258191990 = -4258165001"], "final_answer": "-4258165001", "answer_type": "integer", "kind": "expression", "math_text": "25864 + (-9557 + 1903) - (-8779) - (-49765) * (-85566)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n (+ n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25864, \"b\": -9557, \"c\": 1903, \"d\": -8779, \"e\": -49765, \"f\": -85566}", "seed": "5497223341616155493", "semantic_fingerprint": "sha256:36e55e11c88cc87d0ff7ab5bc800599b1151f14f701d639ee33733c6431d48ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002912", "prompt": "Compute: -5097 + (-45562)", "solution_steps": ["Add: -5097 + (-45562) = -50659"], "final_answer": "-50659", "answer_type": "integer", "kind": "expression", "math_text": "-5097 + (-45562)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5097, \"b\": -45562}", "seed": "4643213184136652063", "semantic_fingerprint": "sha256:e468d91ed9b198a71b4d04140eeb9df3c7d1125f070e4b145d0d1b8b2cc1c8d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002913", "prompt": "What is 5860 - 2834?", "solution_steps": ["Subtract: 5860 - 2834 = 3026"], "final_answer": "3026", "answer_type": "integer", "kind": "expression", "math_text": "5860 - 2834", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5860, \"b\": 2834}", "seed": "2402698596166323479", "semantic_fingerprint": "sha256:a95d48b6493fa297ed239bb62fbdbce87e008d184c82e09db951cfeb9ec60267", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002914", "prompt": "Compute: -80445 * (-26292)", "solution_steps": ["Multiply: -80445 * (-26292) = 2115059940"], "final_answer": "2115059940", "answer_type": "integer", "kind": "expression", "math_text": "-80445 * (-26292)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -80445, \"b\": -26292}", "seed": "18285037345957131301", "semantic_fingerprint": "sha256:4aa4e6527fbed5bec1fa1d9f9e999ac1d116c6b694d1e585e694d111d17bcbcf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002915", "prompt": "Solve the equation 38x + 1475 = x - 8118 for x.", "solution_steps": ["Subtract x from both sides: 37x + 1475 = -8118", "Subtract 1475 from both sides: 37x = -9593", "Divide both sides by 37: x = -9593/37"], "final_answer": "-9593/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 1475 = x - 8118", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 1475, \"c\": 8118}", "seed": "12828653761140844441", "semantic_fingerprint": "sha256:426096ce0915e76acf7e6b5f42fcf0b798c667272512e5ea5b1ba77fa39cf6a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002916", "prompt": "Compute: 7355 * (-7644)", "solution_steps": ["Multiply: 7355 * (-7644) = -56221620"], "final_answer": "-56221620", "answer_type": "integer", "kind": "expression", "math_text": "7355 * (-7644)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7355, \"b\": -7644}", "seed": "15389171037294630161", "semantic_fingerprint": "sha256:fcdf53cf82bab683822618e42ad62aa6f2c6e82f6046843e666f221a5760b3c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002917", "prompt": "Compute: -45369 / 2273", "solution_steps": ["Divide: -45369 / 2273 = -45369/2273"], "final_answer": "-45369/2273", "answer_type": "rational", "kind": "expression", "math_text": "-45369 / 2273", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45369, \"b\": 2273}", "seed": "7335432152211116237", "semantic_fingerprint": "sha256:11ba59a06526a70bb59597144f858cb22d91360310917810d96e7e0cbbd245ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002918", "prompt": "Find x: 23(x - 4230) + 80641 = x - 18079", "solution_steps": ["Expand: 23x - 97290 + 80641 = x - 18079", "Combine constants: 23x - 16649 = x - 18079", "Subtract x from both sides: 22x - 16649 = -18079", "Add 16649 to both sides: 22x = -1430", "Divide both sides by 22: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x - 4230) + 80641 = x - 18079", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 4230, \"c\": 80641, \"e\": -18079, \"x\": -65}", "seed": "7138786577864923328", "semantic_fingerprint": "sha256:d53accbe3d1674de5a1ef8c56011c426e8f99758c3896660ebbd26ccd8999665", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002919", "prompt": "What value of x satisfies 26x - 15587 = x - 19837?", "solution_steps": ["Subtract x from both sides: 25x - 15587 = -19837", "Add 15587 to both sides: 25x = -4250", "Divide both sides by 25: x = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x - 15587 = x - 19837", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 15587, \"d\": -19837, \"x\": -170}", "seed": "3808246570036295698", "semantic_fingerprint": "sha256:e68023236459d7d825afe4053abd842440f660b851cfa1d83dccc55cc05e7f1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002920", "prompt": "Calculate: 8640 * (-2062 - 35351 - 2659)", "solution_steps": ["Subtract: -2062 - 35351 = -37413", "Subtract: -37413 - 2659 = -40072", "Multiply: 8640 * (-40072) = -346222080"], "final_answer": "-346222080", "answer_type": "integer", "kind": "expression", "math_text": "8640 * (-2062 - 35351 - 2659)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8640, \"b\": -2062, \"c\": 35351, \"d\": 2659}", "seed": "11750438107355147192", "semantic_fingerprint": "sha256:b6cb8971806592942bf477a3eb48d9ec9f50b0a212eb243d0e17dffb7729510d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002921", "prompt": "Compute: (6354 + 7675) / (2019 - 93902)", "solution_steps": ["Add: 6354 + 7675 = 14029", "Subtract: 2019 - 93902 = -91883", "Divide: 14029 / (-91883) = -14029/91883"], "final_answer": "-14029/91883", "answer_type": "rational", "kind": "expression", "math_text": "(6354 + 7675) / (2019 - 93902)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6354, \"b\": 7675, \"c\": 2019, \"d\": 93902}", "seed": "899116156590700363", "semantic_fingerprint": "sha256:a75f263288594729f7a367eee4b341d599085ba6822bee4a3478e4ab4a016872", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002922", "prompt": "Evaluate: 7667 * (-7634)", "solution_steps": ["Multiply: 7667 * (-7634) = -58529878"], "final_answer": "-58529878", "answer_type": "integer", "kind": "expression", "math_text": "7667 * (-7634)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7667, \"b\": -7634}", "seed": "11385320144341938348", "semantic_fingerprint": "sha256:0105c3f4d2ed2dd8691991bf0f7b754dd2db0449bf297a70ef964137a834e25a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002923", "prompt": "Calculate: -84264 + (-95355) / (-7248)", "solution_steps": ["Divide: -95355 / (-7248) = 31785/2416", "Add: -84264 + 31785/2416 = -203550039/2416"], "final_answer": "-203550039/2416", "answer_type": "rational", "kind": "expression", "math_text": "-84264 + (-95355) / (-7248)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84264, \"b\": -95355, \"c\": -7248}", "seed": "8777074111275968102", "semantic_fingerprint": "sha256:bf19fe60d4858116de39bb50ae9370a3f3be0cf283a020ca4388416df55f0f75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002924", "prompt": "Solve for x: 14x - 7890 = x + 23795", "solution_steps": ["Subtract x from both sides: 13x - 7890 = 23795", "Add 7890 to both sides: 13x = 31685", "Divide both sides by 13: x = 31685/13"], "final_answer": "31685/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x - 7890 = x + 23795", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7890, \"c\": 23795}", "seed": "11856228434077652770", "semantic_fingerprint": "sha256:655cb0f2c0ff24ee092acb54fe5003b98393498cb8d3858e259d43dffc26a0cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002925", "prompt": "Evaluate: 75748 + 6002 * 92960", "solution_steps": ["Multiply: 6002 * 92960 = 557945920", "Add: 75748 + 557945920 = 558021668"], "final_answer": "558021668", "answer_type": "integer", "kind": "expression", "math_text": "75748 + 6002 * 92960", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75748, \"b\": 6002, \"c\": 92960}", "seed": "2072627389139699030", "semantic_fingerprint": "sha256:3336c82c77a98068f3a6e6ab501b97973f4ea7dfa7ee622974b976f86c9df567", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002926", "prompt": "Compute: -6835 / 33120 - (-52331)", "solution_steps": ["Divide: -6835 / 33120 = -1367/6624", "Subtract: -1367/6624 - (-52331) = 346639177/6624"], "final_answer": "346639177/6624", "answer_type": "rational", "kind": "expression", "math_text": "-6835 / 33120 - (-52331)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6835, \"b\": 33120, \"c\": -52331}", "seed": "7864136585816479570", "semantic_fingerprint": "sha256:c9b2512608cb763592e183a5e5f620c96dbfcc669c9aeffbb607147e987c1815", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002927", "prompt": "Calculate: -1496 + (-2498)", "solution_steps": ["Add: -1496 + (-2498) = -3994"], "final_answer": "-3994", "answer_type": "integer", "kind": "expression", "math_text": "-1496 + (-2498)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1496, \"b\": -2498}", "seed": "11443054080424877675", "semantic_fingerprint": "sha256:90dbaf72ff4dca238e29fedd527bcd232d741f81824ef1b4a992346e79eeb17b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002928", "prompt": "Calculate: -3107 / (-10793) - (45508 - (-3288) * (-23635)) - 8376", "solution_steps": ["Divide: -3107 / (-10793) = 3107/10793", "Multiply: -3288 * (-23635) = 77711880", "Subtract: 45508 - 77711880 = -77666372", "Subtract: 3107/10793 - (-77666372) = 838253156103/10793", "Subtract: 838253156103/10793 - 8376 = 838162753935/10793"], "final_answer": "838162753935/10793", "answer_type": "rational", "kind": "expression", "math_text": "-3107 / (-10793) - (45508 - (-3288) * (-23635)) - 8376", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) (- n (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3107, \"b\": -10793, \"c\": 45508, \"d\": -3288, \"e\": -23635, \"f\": 8376}", "seed": "6262460629261987366", "semantic_fingerprint": "sha256:62872c995eb93e1ff39634ab9d82bca5732a86ce0f655de1612718848691468e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002929", "prompt": "What is -11359 - (-9148) / 77394?", "solution_steps": ["Divide: -9148 / 77394 = -4574/38697", "Subtract: -11359 - (-4574/38697) = -439554649/38697"], "final_answer": "-439554649/38697", "answer_type": "rational", "kind": "expression", "math_text": "-11359 - (-9148) / 77394", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11359, \"b\": -9148, \"c\": 77394}", "seed": "7034582014588622723", "semantic_fingerprint": "sha256:cf57033ffa03dfe9af3239c545697210f7ea6eaed6c555a7d8a97ecde4b1cbb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002930", "prompt": "Find x: x = 28(x - 80766)", "solution_steps": ["Expand: x = 28x - 2261448", "Subtract 28x from both sides: -27x = -2261448", "Divide both sides by -27: x = 251272/3"], "final_answer": "251272/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x - 80766)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 80766}", "seed": "7530635215679781767", "semantic_fingerprint": "sha256:4e1399f364d2b4e26cfb765df3cc8d0182fc43fe486ed83fa60afb71c64a06f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002931", "prompt": "Calculate: -2165 / (-4508) / (2400 / 4570)", "solution_steps": ["Divide: -2165 / (-4508) = 2165/4508", "Divide: 2400 / 4570 = 240/457", "Divide: (2165/4508) / (240/457) = 197881/216384"], "final_answer": "197881/216384", "answer_type": "rational", "kind": "expression", "math_text": "-2165 / (-4508) / (2400 / 4570)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2165, \"b\": -4508, \"c\": 2400, \"d\": 4570}", "seed": "16135471690032646224", "semantic_fingerprint": "sha256:9ee03c03a48a63875ec6e505c42fb4ef1d552a0187de67e7302d8e5fa845391c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002932", "prompt": "Compute: 9311 * (-35437)", "solution_steps": ["Multiply: 9311 * (-35437) = -329953907"], "final_answer": "-329953907", "answer_type": "integer", "kind": "expression", "math_text": "9311 * (-35437)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9311, \"b\": -35437}", "seed": "17845119995542898713", "semantic_fingerprint": "sha256:4e6b7f6b5ce8ed37407ebac37b6882fb8c32d033350a662c909fe4feaebbdc1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002933", "prompt": "What is 32002 / (-7019) - 1496 * 1068?", "solution_steps": ["Divide: 32002 / (-7019) = -32002/7019", "Multiply: 1496 * 1068 = 1597728", "Subtract: -32002/7019 - 1597728 = -11214484834/7019"], "final_answer": "-11214484834/7019", "answer_type": "rational", "kind": "expression", "math_text": "32002 / (-7019) - 1496 * 1068", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32002, \"b\": -7019, \"c\": 1496, \"d\": 1068}", "seed": "15118095713789613947", "semantic_fingerprint": "sha256:924ec6cb59e811fe6c8abe31f3d90f286ca6cdc5365add947caa9a2dd69365cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002934", "prompt": "Calculate: -3503 + (4927 + (-9957 + (-4602)) + 6413)", "solution_steps": ["Add: -9957 + (-4602) = -14559", "Add: 4927 + (-14559) = -9632", "Add: -9632 + 6413 = -3219", "Add: -3503 + (-3219) = -6722"], "final_answer": "-6722", "answer_type": "integer", "kind": "expression", "math_text": "-3503 + (4927 + (-9957 + (-4602)) + 6413)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3503, \"b\": 4927, \"c\": -9957, \"d\": -4602, \"e\": 6413}", "seed": "9178127856859184778", "semantic_fingerprint": "sha256:32a99331f782dd27ad694c56539a62e9c5d29e5d7739f1cc5ab425d0685ce843", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002935", "prompt": "Compute: -9928 / 88837 * 96293", "solution_steps": ["Divide: -9928 / 88837 = -9928/88837", "Multiply: (-9928/88837) * 96293 = -955996904/88837"], "final_answer": "-955996904/88837", "answer_type": "rational", "kind": "expression", "math_text": "-9928 / 88837 * 96293", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9928, \"b\": 88837, \"c\": 96293}", "seed": "3635616496061025103", "semantic_fingerprint": "sha256:cb300ab0df70edc85036cb7bc4f46ba837122528cf5677273cd247387e0032b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002936", "prompt": "Evaluate: 53040 * (78758 / (-5521) + (-2861))", "solution_steps": ["Divide: 78758 / (-5521) = -78758/5521", "Add: -78758/5521 + (-2861) = -15874339/5521", "Multiply: 53040 * (-15874339/5521) = -841974940560/5521"], "final_answer": "-841974940560/5521", "answer_type": "rational", "kind": "expression", "math_text": "53040 * (78758 / (-5521) + (-2861))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 53040, \"b\": 78758, \"c\": -5521, \"d\": -2861}", "seed": "4329612279455292268", "semantic_fingerprint": "sha256:eae61ce2c86552e9fff5d0e6bdef23a86820073a33034c0ed34cda55a83843c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002937", "prompt": "Evaluate: 6586 + 5070", "solution_steps": ["Add: 6586 + 5070 = 11656"], "final_answer": "11656", "answer_type": "integer", "kind": "expression", "math_text": "6586 + 5070", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6586, \"b\": 5070}", "seed": "11034198801008396116", "semantic_fingerprint": "sha256:3e1e5b754d994d0574a8191a46f1cecfa4ed6bd99b8c4d578e0e93e7ae23186f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002938", "prompt": "Find x: -36x = -20(x - 8003) + 2435", "solution_steps": ["Expand: -36x = -20x + 160060 + 2435", "Combine constants: -36x = -20x + 162495", "Add 20x to both sides: -16x = 162495", "Divide both sides by -16: x = -162495/16"], "final_answer": "-162495/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x = -20(x - 8003) + 2435", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": -20, \"c\": 8003, \"d\": 2435}", "seed": "4296012417926703767", "semantic_fingerprint": "sha256:7b7bd8708a031b527b583203d768ce38105306021834f95133ebe7b622642c16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002939", "prompt": "What is 2558 * (-53138)?", "solution_steps": ["Multiply: 2558 * (-53138) = -135927004"], "final_answer": "-135927004", "answer_type": "integer", "kind": "expression", "math_text": "2558 * (-53138)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2558, \"b\": -53138}", "seed": "14369263311533364962", "semantic_fingerprint": "sha256:1a07d753216f828e63775eb84498860f7fa8ab8655ad0c4a60e8a10047797ec5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002940", "prompt": "What value of x satisfies -13(x + 2949) = x?", "solution_steps": ["Expand: -13x - 38337 = x", "Subtract x from both sides: -14x - 38337 = 0", "Add 38337 to both sides: -14x = 38337", "Divide both sides by -14: x = -38337/14"], "final_answer": "-38337/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 2949) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 2949}", "seed": "11110963065952499993", "semantic_fingerprint": "sha256:e6e68e76bab1bda0d7099c9632ebc321c8d0479388bd704e475824f1de76e053", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002941", "prompt": "Compute: 5674 - (-25521 / 5557 - (5533 + 8023))", "solution_steps": ["Divide: -25521 / 5557 = -25521/5557", "Add: 5533 + 8023 = 13556", "Subtract: -25521/5557 - 13556 = -75356213/5557", "Subtract: 5674 - (-75356213/5557) = 106886631/5557"], "final_answer": "106886631/5557", "answer_type": "rational", "kind": "expression", "math_text": "5674 - (-25521 / 5557 - (5533 + 8023))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5674, \"b\": -25521, \"c\": 5557, \"d\": 5533, \"e\": 8023}", "seed": "8795143341272947966", "semantic_fingerprint": "sha256:d7cd70f24f0f2db111d5139bb5fdff716dd206b47fcafb271f5d544fe769aa68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002942", "prompt": "Compute: 35943 * 1016", "solution_steps": ["Multiply: 35943 * 1016 = 36518088"], "final_answer": "36518088", "answer_type": "integer", "kind": "expression", "math_text": "35943 * 1016", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35943, \"b\": 1016}", "seed": "6122853147447370804", "semantic_fingerprint": "sha256:b2d0f978a4b26c5ee3f0f01eb0d7643d9a574c14a86d0d0735927193a8499f97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002943", "prompt": "Calculate: -6849 * (-94677 / (-6907) - (-5247))", "solution_steps": ["Divide: -94677 / (-6907) = 94677/6907", "Subtract: 94677/6907 - (-5247) = 36335706/6907", "Multiply: -6849 * (36335706/6907) = -248863250394/6907"], "final_answer": "-248863250394/6907", "answer_type": "rational", "kind": "expression", "math_text": "-6849 * (-94677 / (-6907) - (-5247))", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6849, \"b\": -94677, \"c\": -6907, \"d\": -5247}", "seed": "14747830535455582036", "semantic_fingerprint": "sha256:4404eb7215e0e63ef2b49a2b8e62d1f0503f8d19c0d026a4d54194a01e75047d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002944", "prompt": "What is (7259 + (-2077)) / (82055 - (-6778))?", "solution_steps": ["Add: 7259 + (-2077) = 5182", "Subtract: 82055 - (-6778) = 88833", "Divide: 5182 / 88833 = 5182/88833"], "final_answer": "5182/88833", "answer_type": "rational", "kind": "expression", "math_text": "(7259 + (-2077)) / (82055 - (-6778))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7259, \"b\": -2077, \"c\": 82055, \"d\": -6778}", "seed": "8491132519979650755", "semantic_fingerprint": "sha256:6d18a8bc21edf14905f0f017b033ef4d1ea2f52083bede6f088c0b2b7571dde9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002945", "prompt": "Find x: x + 94732 = 34x + 99340", "solution_steps": ["Subtract 34x from both sides: -33x + 94732 = 99340", "Subtract 94732 from both sides: -33x = 4608", "Divide both sides by -33: x = -1536/11"], "final_answer": "-1536/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 94732 = 34x + 99340", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 94732, \"b\": 34, \"c\": 99340}", "seed": "14451566561508767945", "semantic_fingerprint": "sha256:0d72da0e7cc1592f12b0584a98ac9ee66b748addf6337a3230f5399f29d27af9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002946", "prompt": "Evaluate: 9060 / 5918", "solution_steps": ["Divide: 9060 / 5918 = 4530/2959"], "final_answer": "4530/2959", "answer_type": "rational", "kind": "expression", "math_text": "9060 / 5918", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9060, \"b\": 5918}", "seed": "15232412613887846255", "semantic_fingerprint": "sha256:e1068eebd6c19e7572d5b274b790b2f8e1993273264702dcd728f800e2720a2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002947", "prompt": "Calculate: -5692 - (-24169) + 5418 * 60720", "solution_steps": ["Subtract: -5692 - (-24169) = 18477", "Multiply: 5418 * 60720 = 328980960", "Add: 18477 + 328980960 = 328999437"], "final_answer": "328999437", "answer_type": "integer", "kind": "expression", "math_text": "-5692 - (-24169) + 5418 * 60720", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5692, \"b\": -24169, \"c\": 5418, \"d\": 60720}", "seed": "11284973871365785649", "semantic_fingerprint": "sha256:67d05fba8ea2d08423b4130f56b0088d7d791041aee0c87cd348257c9289b259", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002948", "prompt": "Solve for x: 18(x + 3484) + 7720 = x", "solution_steps": ["Expand: 18x + 62712 + 7720 = x", "Combine constants: 18x + 70432 = x", "Subtract x from both sides: 17x + 70432 = 0", "Subtract 70432 from both sides: 17x = -70432", "Divide both sides by 17: x = -70432/17"], "final_answer": "-70432/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 3484) + 7720 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3484, \"c\": 7720}", "seed": "5366897620797277046", "semantic_fingerprint": "sha256:6bc73c8e0dd12d86e3d8386e5fdcac50863bd60f0f183255c81a0c5a7e3defd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002949", "prompt": "Calculate: 28356 + 95131 + (-63675)", "solution_steps": ["Add: 28356 + 95131 = 123487", "Add: 123487 + (-63675) = 59812"], "final_answer": "59812", "answer_type": "integer", "kind": "expression", "math_text": "28356 + 95131 + (-63675)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28356, \"b\": 95131, \"c\": -63675}", "seed": "6345928734728298896", "semantic_fingerprint": "sha256:e442534b759ea1dcf29f8830dd0a7ffa250fe23d1f144c05b59c13b4d7fe5d58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002950", "prompt": "Solve the equation x - 1620 = 13x for x.", "solution_steps": ["Subtract 13x from both sides: -12x - 1620 = 0", "Add 1620 to both sides: -12x = 1620", "Divide both sides by -12: x = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1620 = 13x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": -1620, \"x\": -135}", "seed": "1989580715177610953", "semantic_fingerprint": "sha256:4f0fa530e52457da61794d16d4215fd9248e4bc8cad1c082fc6292fed85ecd02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002951", "prompt": "Compute: -1424 / (-1036 + (-92161)) - 8340 + (-8011 - (-2826))", "solution_steps": ["Add: -1036 + (-92161) = -93197", "Divide: -1424 / (-93197) = 1424/93197", "Subtract: 1424/93197 - 8340 = -777261556/93197", "Subtract: -8011 - (-2826) = -5185", "Add: -777261556/93197 + (-5185) = -1260488001/93197"], "final_answer": "-1260488001/93197", "answer_type": "rational", "kind": "expression", "math_text": "-1424 / (-1036 + (-92161)) - 8340 + (-8011 - (-2826))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1424, \"b\": -1036, \"c\": -92161, \"d\": 8340, \"e\": -8011, \"f\": -2826}", "seed": "4830098760203400160", "semantic_fingerprint": "sha256:d8bc99d3ced3040d7de571d161edb40670297fdc56f5f1b5e224b4c7331a7dad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002952", "prompt": "Compute: 83811 / (-9863) + (-5161) + (-41114)", "solution_steps": ["Divide: 83811 / (-9863) = -11973/1409", "Add: -11973/1409 + (-5161) = -7283822/1409", "Add: -7283822/1409 + (-41114) = -65213448/1409"], "final_answer": "-65213448/1409", "answer_type": "rational", "kind": "expression", "math_text": "83811 / (-9863) + (-5161) + (-41114)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83811, \"b\": -9863, \"c\": -5161, \"d\": -41114}", "seed": "177483986182563854", "semantic_fingerprint": "sha256:6df3d08d3b0bc8cd5a6e7dc4b9f516df9d616c16241d190ebc4320d9d954d7d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002953", "prompt": "Calculate: 5626 * (67608 + 3473)", "solution_steps": ["Add: 67608 + 3473 = 71081", "Multiply: 5626 * 71081 = 399901706"], "final_answer": "399901706", "answer_type": "integer", "kind": "expression", "math_text": "5626 * (67608 + 3473)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5626, \"b\": 67608, \"c\": 3473}", "seed": "4908221499702706997", "semantic_fingerprint": "sha256:6b9f568de6fd23f45967753aea85b6920be7f541c82dab29125c1562c3f8fbfd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002954", "prompt": "Compute: -9028 + 98506", "solution_steps": ["Add: -9028 + 98506 = 89478"], "final_answer": "89478", "answer_type": "integer", "kind": "expression", "math_text": "-9028 + 98506", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9028, \"b\": 98506}", "seed": "4407691538086520110", "semantic_fingerprint": "sha256:ea1665752ffb493dc6d1b9f646662f3c7601b7ccf547382afbc29aa86f848262", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002955", "prompt": "Calculate: -6157 * (7574 / (-60239))", "solution_steps": ["Divide: 7574 / (-60239) = -7574/60239", "Multiply: -6157 * (-7574/60239) = 46633118/60239"], "final_answer": "46633118/60239", "answer_type": "rational", "kind": "expression", "math_text": "-6157 * (7574 / (-60239))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6157, \"b\": 7574, \"c\": -60239}", "seed": "13377268037284377626", "semantic_fingerprint": "sha256:940c4e967b055de345b58a090e9a9b706f577c9e3f2b8054e1f7a385c0eb64c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002956", "prompt": "Compute: -7259 - 4252 * (-4550)", "solution_steps": ["Multiply: 4252 * (-4550) = -19346600", "Subtract: -7259 - (-19346600) = 19339341"], "final_answer": "19339341", "answer_type": "integer", "kind": "expression", "math_text": "-7259 - 4252 * (-4550)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7259, \"b\": 4252, \"c\": -4550}", "seed": "1141136431732311459", "semantic_fingerprint": "sha256:42e7fb72ba4e5e46987ff84d0486332b7e609ca698fe184e71f05bd01cfc16ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002957", "prompt": "Evaluate: -3864 + (-92653) * 6076 + 2666", "solution_steps": ["Multiply: -92653 * 6076 = -562959628", "Add: -3864 + (-562959628) = -562963492", "Add: -562963492 + 2666 = -562960826"], "final_answer": "-562960826", "answer_type": "integer", "kind": "expression", "math_text": "-3864 + (-92653) * 6076 + 2666", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3864, \"b\": -92653, \"c\": 6076, \"d\": 2666}", "seed": "2166703862977909518", "semantic_fingerprint": "sha256:1952884db3a3aa078d4dfde9b8ca9ca3f78ae64c399c9b479ebcee016303b361", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002958", "prompt": "Find x: 26x = 33(x + 3544)", "solution_steps": ["Expand: 26x = 33x + 116952", "Subtract 33x from both sides: -7x = 116952", "Divide both sides by -7: x = -116952/7"], "final_answer": "-116952/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x = 33(x + 3544)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 33, \"c\": 3544}", "seed": "5545886627183449455", "semantic_fingerprint": "sha256:0684fc4190b1df1a9a9e4d79914305fb5b59991e3454113fee662021e9c03477", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002959", "prompt": "Calculate: -7212 - (-2936 + (-4710))", "solution_steps": ["Add: -2936 + (-4710) = -7646", "Subtract: -7212 - (-7646) = 434"], "final_answer": "434", "answer_type": "integer", "kind": "expression", "math_text": "-7212 - (-2936 + (-4710))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7212, \"b\": -2936, \"c\": -4710}", "seed": "11210274628275194321", "semantic_fingerprint": "sha256:91cc5b5c87367b7c88b06dbea108335a31e3bd2da82721d6c0fe2beff0e77bfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002960", "prompt": "Calculate: -2327 + (8668 + (-71305)) - (-23030) - (-11736)", "solution_steps": ["Add: 8668 + (-71305) = -62637", "Add: -2327 + (-62637) = -64964", "Subtract: -64964 - (-23030) = -41934", "Subtract: -41934 - (-11736) = -30198"], "final_answer": "-30198", "answer_type": "integer", "kind": "expression", "math_text": "-2327 + (8668 + (-71305)) - (-23030) - (-11736)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2327, \"b\": 8668, \"c\": -71305, \"d\": -23030, \"e\": -11736}", "seed": "5986026689995489978", "semantic_fingerprint": "sha256:8edcb15ec49fbf8a328bcf467dbba954af1102c74ceacea08e1bd062e9322786", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002961", "prompt": "Compute: 8702 + (-6030) + (-86393)", "solution_steps": ["Add: 8702 + (-6030) = 2672", "Add: 2672 + (-86393) = -83721"], "final_answer": "-83721", "answer_type": "integer", "kind": "expression", "math_text": "8702 + (-6030) + (-86393)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8702, \"b\": -6030, \"c\": -86393}", "seed": "16796634061926225762", "semantic_fingerprint": "sha256:e16d5eb577626ed40a71c13271904a5ce47208a208ea9f376bc8a94940184f08", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002962", "prompt": "Find x: x - 3898 = -37(x - 8401)", "solution_steps": ["Expand: x - 3898 = -37x + 310837", "Add 37x to both sides: 38x - 3898 = 310837", "Add 3898 to both sides: 38x = 314735", "Divide both sides by 38: x = 16565/2"], "final_answer": "16565/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3898 = -37(x - 8401)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3898, \"b\": -37, \"c\": 8401}", "seed": "2139025698487419027", "semantic_fingerprint": "sha256:fce9009273963b909a14883ad4be8b383b0310a34e08b39d786afe46c8b796da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002963", "prompt": "Compute: 1072 + 8947", "solution_steps": ["Add: 1072 + 8947 = 10019"], "final_answer": "10019", "answer_type": "integer", "kind": "expression", "math_text": "1072 + 8947", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1072, \"b\": 8947}", "seed": "11667618104003659199", "semantic_fingerprint": "sha256:05537943eb85c35fa6f51ff87300df3dce6727e5664f83753e6ae97568ad867c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002964", "prompt": "What is -9932 + (-47274 - (-1488)) / (-9413)?", "solution_steps": ["Subtract: -47274 - (-1488) = -45786", "Divide: -45786 / (-9413) = 45786/9413", "Add: -9932 + 45786/9413 = -93444130/9413"], "final_answer": "-93444130/9413", "answer_type": "rational", "kind": "expression", "math_text": "-9932 + (-47274 - (-1488)) / (-9413)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9932, \"b\": -47274, \"c\": -1488, \"d\": -9413}", "seed": "11106535399587130117", "semantic_fingerprint": "sha256:957f8bcd78785cf03656d8347d3357a226f86dabb61e179f4868f5c740ce4e80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002965", "prompt": "Find x: -27x - 2652 = 39x + 2253", "solution_steps": ["Subtract 39x from both sides: -66x - 2652 = 2253", "Add 2652 to both sides: -66x = 4905", "Divide both sides by -66: x = -1635/22"], "final_answer": "-1635/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x - 2652 = 39x + 2253", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2652, \"c\": 39, \"d\": 2253}", "seed": "3008320418950269056", "semantic_fingerprint": "sha256:9d5ac08c51a1f997b7260f1aaddfa816c77584921e87edbf9bd3c4d5d25b2d2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002966", "prompt": "Evaluate: -23885 / (-1507 * 6452 + 4893)", "solution_steps": ["Multiply: -1507 * 6452 = -9723164", "Add: -9723164 + 4893 = -9718271", "Divide: -23885 / (-9718271) = 1405/571663"], "final_answer": "1405/571663", "answer_type": "rational", "kind": "expression", "math_text": "-23885 / (-1507 * 6452 + 4893)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23885, \"b\": -1507, \"c\": 6452, \"d\": 4893}", "seed": "17379286693530988093", "semantic_fingerprint": "sha256:5aaf29e238e538da2de87f1b7450f601598364eab356fc9d4d73f9ef28d8d1ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002967", "prompt": "Evaluate: 28996 + 18534 * (4855 - 7695)", "solution_steps": ["Subtract: 4855 - 7695 = -2840", "Multiply: 18534 * (-2840) = -52636560", "Add: 28996 + (-52636560) = -52607564"], "final_answer": "-52607564", "answer_type": "integer", "kind": "expression", "math_text": "28996 + 18534 * (4855 - 7695)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28996, \"b\": 18534, \"c\": 4855, \"d\": 7695}", "seed": "13301521798750227619", "semantic_fingerprint": "sha256:2cef63e14052d9779fa3bf736075656cd019d1f993e6dfee64a209473b42a5a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002968", "prompt": "What is 8078 / ((-23054 - (-6512)) / (-6640))?", "solution_steps": ["Subtract: -23054 - (-6512) = -16542", "Divide: -16542 / (-6640) = 8271/3320", "Divide: 8078 / (8271/3320) = 26818960/8271"], "final_answer": "26818960/8271", "answer_type": "rational", "kind": "expression", "math_text": "8078 / ((-23054 - (-6512)) / (-6640))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8078, \"b\": -23054, \"c\": -6512, \"d\": -6640}", "seed": "6305924168797593983", "semantic_fingerprint": "sha256:01dd8ed4779fb241a4dc5d44ae8276c1c557f190c6e48ee3216ace62287a84f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002969", "prompt": "Evaluate: 2121 - 9924 + (-4656) + (-89031)", "solution_steps": ["Subtract: 2121 - 9924 = -7803", "Add: -7803 + (-4656) = -12459", "Add: -12459 + (-89031) = -101490"], "final_answer": "-101490", "answer_type": "integer", "kind": "expression", "math_text": "2121 - 9924 + (-4656) + (-89031)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2121, \"b\": 9924, \"c\": -4656, \"d\": -89031}", "seed": "11232484388801856608", "semantic_fingerprint": "sha256:d970135a2c9a75f97f46da18743ac96a48acd2ab3ad356e90586960abb9cb7bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002970", "prompt": "Calculate: -6312 / (-73145)", "solution_steps": ["Divide: -6312 / (-73145) = 6312/73145"], "final_answer": "6312/73145", "answer_type": "rational", "kind": "expression", "math_text": "-6312 / (-73145)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6312, \"b\": -73145}", "seed": "39340521502625553", "semantic_fingerprint": "sha256:153960d9229a56d890817d446212afc0186f61279ef0d17eed71b1322d48c86e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002971", "prompt": "Compute: -68451 + (-58402) + (-4390)", "solution_steps": ["Add: -68451 + (-58402) = -126853", "Add: -126853 + (-4390) = -131243"], "final_answer": "-131243", "answer_type": "integer", "kind": "expression", "math_text": "-68451 + (-58402) + (-4390)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -68451, \"b\": -58402, \"c\": -4390}", "seed": "7952873595375179818", "semantic_fingerprint": "sha256:89701cb1e18048e1090748c3d1fe7c005bda405687ce3f1c4e1c66e858a01d4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002972", "prompt": "Calculate: -7212 - (5698 + (38375 / (-14614) - 8761))", "solution_steps": ["Divide: 38375 / (-14614) = -38375/14614", "Subtract: -38375/14614 - 8761 = -128071629/14614", "Add: 5698 + (-128071629/14614) = -44801057/14614", "Subtract: -7212 - (-44801057/14614) = -60595111/14614"], "final_answer": "-60595111/14614", "answer_type": "rational", "kind": "expression", "math_text": "-7212 - (5698 + (38375 / (-14614) - 8761))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (- (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7212, \"b\": 5698, \"c\": 38375, \"d\": -14614, \"e\": 8761}", "seed": "482443649204109630", "semantic_fingerprint": "sha256:e6b373d0245514766879ba99878c27ebae96a565030262d6c8415fd9c43a67ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002973", "prompt": "Solve the equation 27x + 30271 = x + 32325 for x.", "solution_steps": ["Subtract x from both sides: 26x + 30271 = 32325", "Subtract 30271 from both sides: 26x = 2054", "Divide both sides by 26: x = 79"], "final_answer": "79", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 30271 = x + 32325", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 30271, \"d\": 32325, \"x\": 79}", "seed": "2234033120764918394", "semantic_fingerprint": "sha256:3f4d0af317801f35cf4b76a429dc47e09064a8b703aa2abdfba3c159daa985c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002974", "prompt": "Solve the equation 26x - 95102 = -26(x - 4411) + 38625 for x.", "solution_steps": ["Expand: 26x - 95102 = -26x + 114686 + 38625", "Combine constants: 26x - 95102 = -26x + 153311", "Add 26x to both sides: 52x - 95102 = 153311", "Add 95102 to both sides: 52x = 248413", "Divide both sides by 52: x = 248413/52"], "final_answer": "248413/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x - 95102 = -26(x - 4411) + 38625", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 95102, \"c\": -26, \"d\": 4411, \"e\": 38625}", "seed": "1010518418882120457", "semantic_fingerprint": "sha256:ce19165e04d062ba878985cd80a7fde38ce959563ba81a83cfdc6821a184ba23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002975", "prompt": "Compute: -8983 / (7213 / (-27647))", "solution_steps": ["Divide: 7213 / (-27647) = -7213/27647", "Divide: -8983 / (-7213/27647) = 248353001/7213"], "final_answer": "248353001/7213", "answer_type": "rational", "kind": "expression", "math_text": "-8983 / (7213 / (-27647))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8983, \"b\": 7213, \"c\": -27647}", "seed": "14134855324939958076", "semantic_fingerprint": "sha256:78c4cec636285695d395262948c138b0f7008582ee53e50f52ae05a01bd0d46b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002976", "prompt": "Solve for x: -38(x + 6261) = x - 5020", "solution_steps": ["Expand: -38x - 237918 = x - 5020", "Subtract x from both sides: -39x - 237918 = -5020", "Add 237918 to both sides: -39x = 232898", "Divide both sides by -39: x = -232898/39"], "final_answer": "-232898/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 6261) = x - 5020", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 6261, \"c\": 5020}", "seed": "16267516427795800900", "semantic_fingerprint": "sha256:e999a8d4c485a4137bb2cae5e67071853af76c452dfc4a2da426f2a32a4dd963", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002977", "prompt": "Calculate: -9883 - (-30548) * (-1563) / (20693 + (-3006))", "solution_steps": ["Multiply: -30548 * (-1563) = 47746524", "Add: 20693 + (-3006) = 17687", "Divide: 47746524 / 17687 = 47746524/17687", "Subtract: -9883 - 47746524/17687 = -222547145/17687"], "final_answer": "-222547145/17687", "answer_type": "rational", "kind": "expression", "math_text": "-9883 - (-30548) * (-1563) / (20693 + (-3006))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9883, \"b\": -30548, \"c\": -1563, \"d\": 20693, \"e\": -3006}", "seed": "13924035652853221805", "semantic_fingerprint": "sha256:8aef7eb398fd1bf74d33de0ece2d8787c56e673aebe7329b6e8d2d6098adf652", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002978", "prompt": "Calculate: -86850 * (5461 - (-65346))", "solution_steps": ["Subtract: 5461 - (-65346) = 70807", "Multiply: -86850 * 70807 = -6149587950"], "final_answer": "-6149587950", "answer_type": "integer", "kind": "expression", "math_text": "-86850 * (5461 - (-65346))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86850, \"b\": 5461, \"c\": -65346}", "seed": "3610551279324072727", "semantic_fingerprint": "sha256:ca9e5d78ffc9be6072e7432f9751725b9dfec3d10585f8aae287b2912afffad0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002979", "prompt": "Compute: (7872 + (-6524 + 5332)) * (-50247 + 5155)", "solution_steps": ["Add: -6524 + 5332 = -1192", "Add: 7872 + (-1192) = 6680", "Add: -50247 + 5155 = -45092", "Multiply: 6680 * (-45092) = -301214560"], "final_answer": "-301214560", "answer_type": "integer", "kind": "expression", "math_text": "(7872 + (-6524 + 5332)) * (-50247 + 5155)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7872, \"b\": -6524, \"c\": 5332, \"d\": -50247, \"e\": 5155}", "seed": "8318583030972121631", "semantic_fingerprint": "sha256:bd581092a44cd5aae127a492b63f47bcfaa1a4e88ddd8403071e8d1a93e18cf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002980", "prompt": "What is 4833 - (-73143) / (-5371)?", "solution_steps": ["Divide: -73143 / (-5371) = 73143/5371", "Subtract: 4833 - 73143/5371 = 25884900/5371"], "final_answer": "25884900/5371", "answer_type": "rational", "kind": "expression", "math_text": "4833 - (-73143) / (-5371)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4833, \"b\": -73143, \"c\": -5371}", "seed": "5639026202515659680", "semantic_fingerprint": "sha256:9141c5cf0038ec9d0ddc31429b172f0359694ed56fd4d628e308fc251cd5dd53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002981", "prompt": "What value of x satisfies 38x + 27760 = -18(x + 10617) + 5549?", "solution_steps": ["Expand: 38x + 27760 = -18x - 191106 + 5549", "Combine constants: 38x + 27760 = -18x - 185557", "Add 18x to both sides: 56x + 27760 = -185557", "Subtract 27760 from both sides: 56x = -213317", "Divide both sides by 56: x = -213317/56"], "final_answer": "-213317/56", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 27760 = -18(x + 10617) + 5549", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 27760, \"c\": -18, \"d\": 10617, \"e\": 5549}", "seed": "5067401324785444078", "semantic_fingerprint": "sha256:059a4b70c37bc140f957119e877fa845cd7345312e42ef2775799e368ae98f75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002982", "prompt": "Calculate: -97310 + 1218 + (-11511) + (-4994) / (9813 / 2820)", "solution_steps": ["Add: -97310 + 1218 = -96092", "Add: -96092 + (-11511) = -107603", "Divide: 9813 / 2820 = 3271/940", "Divide: -4994 / (3271/940) = -4694360/3271", "Add: -107603 + (-4694360/3271) = -356663773/3271"], "final_answer": "-356663773/3271", "answer_type": "rational", "kind": "expression", "math_text": "-97310 + 1218 + (-11511) + (-4994) / (9813 / 2820)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -97310, \"b\": 1218, \"c\": -11511, \"d\": -4994, \"e\": 9813, \"f\": 2820}", "seed": "13585509208645163246", "semantic_fingerprint": "sha256:a18772a2062cab84e7c4c50e4cb727a68efc83958282065f7371efa333653bb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002983", "prompt": "Evaluate: 56080 / 2300 / (-9207 / 97340) - 4172", "solution_steps": ["Divide: 56080 / 2300 = 2804/115", "Divide: -9207 / 97340 = -297/3140", "Divide: (2804/115) / (-297/3140) = -1760912/6831", "Subtract: -1760912/6831 - 4172 = -30259844/6831"], "final_answer": "-30259844/6831", "answer_type": "rational", "kind": "expression", "math_text": "56080 / 2300 / (-9207 / 97340) - 4172", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 56080, \"b\": 2300, \"c\": -9207, \"d\": 97340, \"e\": 4172}", "seed": "55157928563479848", "semantic_fingerprint": "sha256:a69621f7aafdf70e04fdd00c79566e5044c05744fc5d398b935b44dc6941bc6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002984", "prompt": "Calculate: -86234 - (14966 + (-46491)) - (-5113) * (3573 - (-8791))", "solution_steps": ["Add: 14966 + (-46491) = -31525", "Subtract: -86234 - (-31525) = -54709", "Subtract: 3573 - (-8791) = 12364", "Multiply: -5113 * 12364 = -63217132", "Subtract: -54709 - (-63217132) = 63162423"], "final_answer": "63162423", "answer_type": "integer", "kind": "expression", "math_text": "-86234 - (14966 + (-46491)) - (-5113) * (3573 - (-8791))", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -86234, \"b\": 14966, \"c\": -46491, \"d\": -5113, \"e\": 3573, \"f\": -8791}", "seed": "13616113803770163966", "semantic_fingerprint": "sha256:e6aa3f4953ba8180151021572ae9c3f5eb0a83469194e22e859b863cb1d8b1c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002985", "prompt": "Evaluate: 3399 - (-8939) * 7869 - (62659 - (-6960))", "solution_steps": ["Multiply: -8939 * 7869 = -70340991", "Subtract: 3399 - (-70340991) = 70344390", "Subtract: 62659 - (-6960) = 69619", "Subtract: 70344390 - 69619 = 70274771"], "final_answer": "70274771", "answer_type": "integer", "kind": "expression", "math_text": "3399 - (-8939) * 7869 - (62659 - (-6960))", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3399, \"b\": -8939, \"c\": 7869, \"d\": 62659, \"e\": -6960}", "seed": "710177133408223653", "semantic_fingerprint": "sha256:4f1cf2293457f12279a69d9435bbca0feed19969ca3fa144cb53768b42093a21", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002986", "prompt": "Evaluate: 8908 * 9709 * 2966 + 2929", "solution_steps": ["Multiply: 8908 * 9709 = 86487772", "Multiply: 86487772 * 2966 = 256522731752", "Add: 256522731752 + 2929 = 256522734681"], "final_answer": "256522734681", "answer_type": "integer", "kind": "expression", "math_text": "8908 * 9709 * 2966 + 2929", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8908, \"b\": 9709, \"c\": 2966, \"d\": 2929}", "seed": "15153017033196519321", "semantic_fingerprint": "sha256:6aab7f910823e50438dd4abcbd347e7261f39910dd7d4f8582e440fb60d624dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002987", "prompt": "Evaluate: -1593 + 7364 - 3475", "solution_steps": ["Add: -1593 + 7364 = 5771", "Subtract: 5771 - 3475 = 2296"], "final_answer": "2296", "answer_type": "integer", "kind": "expression", "math_text": "-1593 + 7364 - 3475", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1593, \"b\": 7364, \"c\": 3475}", "seed": "3410477044180185825", "semantic_fingerprint": "sha256:5cee2a2627088560588a81e2b0980914ed2116373d47fe6564cc2bf266e8dd95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002988", "prompt": "Compute: 7583 + 40443", "solution_steps": ["Add: 7583 + 40443 = 48026"], "final_answer": "48026", "answer_type": "integer", "kind": "expression", "math_text": "7583 + 40443", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7583, \"b\": 40443}", "seed": "5854178343619366947", "semantic_fingerprint": "sha256:e346270840ae664bf2114769b5b22f72c67332925ce3f28e1717a3cc6c6c3bea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002989", "prompt": "Find x: 34x - 29073 = 22(x + 44611)", "solution_steps": ["Expand: 34x - 29073 = 22x + 981442", "Subtract 22x from both sides: 12x - 29073 = 981442", "Add 29073 to both sides: 12x = 1010515", "Divide both sides by 12: x = 1010515/12"], "final_answer": "1010515/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x - 29073 = 22(x + 44611)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 29073, \"c\": 22, \"d\": 44611}", "seed": "4732765462698369795", "semantic_fingerprint": "sha256:d1c2807b93c43e4aa77c996e4a296c9d4202e759fbde6b5c90f55a1a1a18bb53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002990", "prompt": "Evaluate: 57604 / (-90175)", "solution_steps": ["Divide: 57604 / (-90175) = -57604/90175"], "final_answer": "-57604/90175", "answer_type": "rational", "kind": "expression", "math_text": "57604 / (-90175)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57604, \"b\": -90175}", "seed": "4986813167650650250", "semantic_fingerprint": "sha256:0b52b85ee650ec6f2805036ecd43fa7d69040a03806074540c544dec7d0b0ae3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002991", "prompt": "What value of x satisfies x - 80098 = 35x - 75712?", "solution_steps": ["Subtract 35x from both sides: -34x - 80098 = -75712", "Add 80098 to both sides: -34x = 4386", "Divide both sides by -34: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 80098 = 35x - 75712", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80098, \"b\": 35, \"d\": -75712, \"x\": -129}", "seed": "15342322633400123297", "semantic_fingerprint": "sha256:c7d6c14aea934fba5a2accdae828fff8323959a410fbb4fce1d39d767c9a828b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002992", "prompt": "Calculate: 94148 - (-19439) + (-82084) * 8793 / (-5260)", "solution_steps": ["Subtract: 94148 - (-19439) = 113587", "Multiply: -82084 * 8793 = -721764612", "Divide: -721764612 / (-5260) = 180441153/1315", "Add: 113587 + 180441153/1315 = 329808058/1315"], "final_answer": "329808058/1315", "answer_type": "rational", "kind": "expression", "math_text": "94148 - (-19439) + (-82084) * 8793 / (-5260)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94148, \"b\": -19439, \"c\": -82084, \"d\": 8793, \"e\": -5260}", "seed": "11035780152641997706", "semantic_fingerprint": "sha256:b13a8990136a4354aac2674d6d155242e2aee61c0cda0f14c0e2601f257c9494", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002993", "prompt": "Compute: 52934 / 48292 + (51522 + 5249)", "solution_steps": ["Divide: 52934 / 48292 = 26467/24146", "Add: 51522 + 5249 = 56771", "Add: 26467/24146 + 56771 = 1370819033/24146"], "final_answer": "1370819033/24146", "answer_type": "rational", "kind": "expression", "math_text": "52934 / 48292 + (51522 + 5249)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52934, \"b\": 48292, \"c\": 51522, \"d\": 5249}", "seed": "432711655315439904", "semantic_fingerprint": "sha256:08fe3693e9ec7e9ea0e2a5727eadc95fab9bee808e80c7d2af3f339347342485", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002994", "prompt": "Compute: -93715 + 31083 + (-99381) * 7985", "solution_steps": ["Add: -93715 + 31083 = -62632", "Multiply: -99381 * 7985 = -793557285", "Add: -62632 + (-793557285) = -793619917"], "final_answer": "-793619917", "answer_type": "integer", "kind": "expression", "math_text": "-93715 + 31083 + (-99381) * 7985", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -93715, \"b\": 31083, \"c\": -99381, \"d\": 7985}", "seed": "8187915484937087744", "semantic_fingerprint": "sha256:19fe41751995a629608057093391d4a86632543a6068a3a4f50b1c13de451273", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002995", "prompt": "Calculate: 6358 - (-24381 * (-4177 / 1784 + 4966) - (-7349))", "solution_steps": ["Divide: -4177 / 1784 = -4177/1784", "Add: -4177/1784 + 4966 = 8855167/1784", "Multiply: -24381 * (8855167/1784) = -215897826627/1784", "Subtract: -215897826627/1784 - (-7349) = -215884716011/1784", "Subtract: 6358 - (-215884716011/1784) = 215896058683/1784"], "final_answer": "215896058683/1784", "answer_type": "rational", "kind": "expression", "math_text": "6358 - (-24381 * (-4177 / 1784 + 4966) - (-7349))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n (+ (/ n n) n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6358, \"b\": -24381, \"c\": -4177, \"d\": 1784, \"e\": 4966, \"f\": -7349}", "seed": "18210831397851857508", "semantic_fingerprint": "sha256:f3ff60f3290d8a1af4bb4b24a4295539ad46b59d4755b03991a27701e75ab3d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002996", "prompt": "Find x: 23x + 3780 = -37x", "solution_steps": ["Add 37x to both sides: 60x + 3780 = 0", "Subtract 3780 from both sides: 60x = -3780", "Divide both sides by 60: x = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 3780 = -37x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": -37, \"d\": 3780, \"x\": -63}", "seed": "9517411234345450382", "semantic_fingerprint": "sha256:a8be04be5890b350511df14bf3a8777a91117f27c72becdaec6e1b69cba211f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002997", "prompt": "Calculate: -8956 / (6612 / 81351)", "solution_steps": ["Divide: 6612 / 81351 = 2204/27117", "Divide: -8956 / (2204/27117) = -60714963/551"], "final_answer": "-60714963/551", "answer_type": "rational", "kind": "expression", "math_text": "-8956 / (6612 / 81351)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8956, \"b\": 6612, \"c\": 81351}", "seed": "2611704977039038534", "semantic_fingerprint": "sha256:539ac8f42b4970d8549b3d3c95773163ec4a9448f0488845eb131a96d4715a6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002998", "prompt": "Compute: 27661 + (-59691 + (-4308 - 90713))", "solution_steps": ["Subtract: -4308 - 90713 = -95021", "Add: -59691 + (-95021) = -154712", "Add: 27661 + (-154712) = -127051"], "final_answer": "-127051", "answer_type": "integer", "kind": "expression", "math_text": "27661 + (-59691 + (-4308 - 90713))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27661, \"b\": -59691, \"c\": -4308, \"d\": 90713}", "seed": "3209694679150527376", "semantic_fingerprint": "sha256:f6fb0f8b8fc949502420e4a497c7ce241b444290fe969464d4d574dcae0a4b2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00002999", "prompt": "What value of x satisfies 35x + 2737 = x + 2023?", "solution_steps": ["Subtract x from both sides: 34x + 2737 = 2023", "Subtract 2737 from both sides: 34x = -714", "Divide both sides by 34: x = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 2737 = x + 2023", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2737, \"d\": 2023, \"x\": -21}", "seed": "10373236326458210089", "semantic_fingerprint": "sha256:f397b3fb07f5c30fa9707d78704c0e81165ea1362dbe3bac125251093e08ef26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003000", "prompt": "Calculate: 71590 + (-2327 - (-61435)) / (-3265)", "solution_steps": ["Subtract: -2327 - (-61435) = 59108", "Divide: 59108 / (-3265) = -59108/3265", "Add: 71590 + (-59108/3265) = 233682242/3265"], "final_answer": "233682242/3265", "answer_type": "rational", "kind": "expression", "math_text": "71590 + (-2327 - (-61435)) / (-3265)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71590, \"b\": -2327, \"c\": -61435, \"d\": -3265}", "seed": "11899253709270687093", "semantic_fingerprint": "sha256:4c689a4d7a8726b9bd4e7a8af11ada7d342765b760fbb0e68a2ea92dd82150ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003001", "prompt": "What value of x satisfies x - 21927 = -27x + 62549?", "solution_steps": ["Add 27x to both sides: 28x - 21927 = 62549", "Add 21927 to both sides: 28x = 84476", "Divide both sides by 28: x = 3017"], "final_answer": "3017", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 21927 = -27x + 62549", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21927, \"b\": -27, \"c\": 62549}", "seed": "2434411036387514392", "semantic_fingerprint": "sha256:6bd549ab08dd5951381f99a57a2867c7cf2a43547f247a9ead2a6236907d5eb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003002", "prompt": "Evaluate: 77403 / (-98877)", "solution_steps": ["Divide: 77403 / (-98877) = -25801/32959"], "final_answer": "-25801/32959", "answer_type": "rational", "kind": "expression", "math_text": "77403 / (-98877)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77403, \"b\": -98877}", "seed": "1960816008748807652", "semantic_fingerprint": "sha256:3965f28142aadec8a75835d761be0600897eb3782b1ee79f71adcd9d13620876", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003003", "prompt": "Compute: 5782 - (-6488) / 72993", "solution_steps": ["Divide: -6488 / 72993 = -6488/72993", "Subtract: 5782 - (-6488/72993) = 422052014/72993"], "final_answer": "422052014/72993", "answer_type": "rational", "kind": "expression", "math_text": "5782 - (-6488) / 72993", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5782, \"b\": -6488, \"c\": 72993}", "seed": "8064295579093845091", "semantic_fingerprint": "sha256:5cd555130d767e8a3c0012b3f217bd1a01058d5f2fb6efc6589d38f03607a994", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003004", "prompt": "Compute: (-1512 + (-6599)) * (-4004) - (-53695)", "solution_steps": ["Add: -1512 + (-6599) = -8111", "Multiply: -8111 * (-4004) = 32476444", "Subtract: 32476444 - (-53695) = 32530139"], "final_answer": "32530139", "answer_type": "integer", "kind": "expression", "math_text": "(-1512 + (-6599)) * (-4004) - (-53695)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1512, \"b\": -6599, \"c\": -4004, \"d\": -53695}", "seed": "5281431193770693988", "semantic_fingerprint": "sha256:66dc276a4b58ee5afbe95fdfe9bf079ac23a29aa13fe0029590983f1845cffc9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003005", "prompt": "What value of x satisfies -29(x + 9259) - 90191 = -8846?", "solution_steps": ["Expand: -29x - 268511 - 90191 = -8846", "Combine constants: -29x - 358702 = -8846", "Add 358702 to both sides: -29x = 349856", "Divide both sides by -29: x = -12064"], "final_answer": "-12064", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29(x + 9259) - 90191 = -8846", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 9259, \"c\": 90191, \"d\": -8846}", "seed": "6572381022095099859", "semantic_fingerprint": "sha256:c3d9945dbb225fb10435c6d2dec287a30bbad93d3663f5da635cc9f5a028793b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003006", "prompt": "Solve for x: 15(x - 3820) - 8482 = 35(x + 2006)", "solution_steps": ["Expand: 15x - 57300 - 8482 = 35(x + 2006)", "Expand: 15x - 57300 - 8482 = 35x + 70210", "Combine constants: 15x - 65782 = 35x + 70210", "Subtract 35x from both sides: -20x - 65782 = 70210", "Add 65782 to both sides: -20x = 135992", "Divide both sides by -20: x = -33998/5"], "final_answer": "-33998/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 3820) - 8482 = 35(x + 2006)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3820, \"c\": 8482, \"d\": 35, \"e\": 2006}", "seed": "10724523284533927006", "semantic_fingerprint": "sha256:b066b09f2611e7417120ec6f7866ba0d144b016b697c4a7b796d2233dafd89fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003007", "prompt": "Calculate: 3683 * (-5291)", "solution_steps": ["Multiply: 3683 * (-5291) = -19486753"], "final_answer": "-19486753", "answer_type": "integer", "kind": "expression", "math_text": "3683 * (-5291)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3683, \"b\": -5291}", "seed": "10042360570072510335", "semantic_fingerprint": "sha256:1f2f3bb6d73b94db505c54ddc983dcfe7b556eab60c0462b16998822253dc565", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003008", "prompt": "What is -13202 - 3311?", "solution_steps": ["Subtract: -13202 - 3311 = -16513"], "final_answer": "-16513", "answer_type": "integer", "kind": "expression", "math_text": "-13202 - 3311", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -13202, \"b\": 3311}", "seed": "4533592218329990821", "semantic_fingerprint": "sha256:a3b88b0c750c4be51f24af53821366893f46ca715b58021009d67c4130c5b598", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003009", "prompt": "Evaluate: (-71988 + 5694) * (9122 / (6001 - (7246 - 88053)))", "solution_steps": ["Add: -71988 + 5694 = -66294", "Subtract: 7246 - 88053 = -80807", "Subtract: 6001 - (-80807) = 86808", "Divide: 9122 / 86808 = 4561/43404", "Multiply: -66294 * (4561/43404) = -50394489/7234"], "final_answer": "-50394489/7234", "answer_type": "rational", "kind": "expression", "math_text": "(-71988 + 5694) * (9122 / (6001 - (7246 - 88053)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ n (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -71988, \"b\": 5694, \"c\": 9122, \"d\": 6001, \"e\": 7246, \"f\": 88053}", "seed": "3896745532696286206", "semantic_fingerprint": "sha256:03fa7e428b0b3e0396b352a0cba07bbd62fe028b83cd6bad4f6c9050fb644f3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003010", "prompt": "What is -4179 + (-79439) / (7743 / 7366)?", "solution_steps": ["Divide: 7743 / 7366 = 267/254", "Divide: -79439 / (267/254) = -20177506/267", "Add: -4179 + (-20177506/267) = -21293299/267"], "final_answer": "-21293299/267", "answer_type": "rational", "kind": "expression", "math_text": "-4179 + (-79439) / (7743 / 7366)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4179, \"b\": -79439, \"c\": 7743, \"d\": 7366}", "seed": "17177554744089514721", "semantic_fingerprint": "sha256:b95486cd24aaea7b34bd9a0040f30cdd1c88061ad1cda92ea0db77db01d5afa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003011", "prompt": "Solve the equation -23x = 26(x - 76752) - 37367 for x.", "solution_steps": ["Expand: -23x = 26x - 1995552 - 37367", "Combine constants: -23x = 26x - 2032919", "Subtract 26x from both sides: -49x = -2032919", "Divide both sides by -49: x = 290417/7"], "final_answer": "290417/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23x = 26(x - 76752) - 37367", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 26, \"c\": 76752, \"d\": 37367}", "seed": "491460799334673082", "semantic_fingerprint": "sha256:05e1734a1ad4eb73096aebe6b2e70ae1106762574dfd053c85d4395e9bb0e4f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003012", "prompt": "Compute: (-82035 + (9186 - 5940)) / 5972", "solution_steps": ["Subtract: 9186 - 5940 = 3246", "Add: -82035 + 3246 = -78789", "Divide: -78789 / 5972 = -78789/5972"], "final_answer": "-78789/5972", "answer_type": "rational", "kind": "expression", "math_text": "(-82035 + (9186 - 5940)) / 5972", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -82035, \"b\": 9186, \"c\": 5940, \"d\": 5972}", "seed": "5228036897574213590", "semantic_fingerprint": "sha256:24feea66e3827633954d1a599f1dfe945910bd500c3e3f41d013e00e91773b82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003013", "prompt": "Solve for x: 39x - 4242 = 39052", "solution_steps": ["Add 4242 to both sides: 39x = 43294", "Divide both sides by 39: x = 43294/39"], "final_answer": "43294/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x - 4242 = 39052", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4242, \"c\": 39052}", "seed": "12587329375158607480", "semantic_fingerprint": "sha256:16894805be15e3a75991729b10c85e0507372e39257138f001c5a23a61073f69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003014", "prompt": "What is 76454 / (-37287) + (-61147) + (-3318 + 94817)?", "solution_steps": ["Divide: 76454 / (-37287) = -76454/37287", "Add: -76454/37287 + (-61147) = -2280064643/37287", "Add: -3318 + 94817 = 91499", "Add: -2280064643/37287 + 91499 = 1131658570/37287"], "final_answer": "1131658570/37287", "answer_type": "rational", "kind": "expression", "math_text": "76454 / (-37287) + (-61147) + (-3318 + 94817)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 76454, \"b\": -37287, \"c\": -61147, \"d\": -3318, \"e\": 94817}", "seed": "14831670871367631766", "semantic_fingerprint": "sha256:90df4f258fddc792aef013b4e9591afd586195e8638729b2cc608bcdadb0e73f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003015", "prompt": "What is -8233 - (1950 + 9676)?", "solution_steps": ["Add: 1950 + 9676 = 11626", "Subtract: -8233 - 11626 = -19859"], "final_answer": "-19859", "answer_type": "integer", "kind": "expression", "math_text": "-8233 - (1950 + 9676)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8233, \"b\": 1950, \"c\": 9676}", "seed": "16539406834796331943", "semantic_fingerprint": "sha256:cc384812c16afd76aa5a718d6d1024def38f5d38a49796f2842df3f70306a85e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003016", "prompt": "Compute: (-5858 + (-8499)) / 6095 * 97892", "solution_steps": ["Add: -5858 + (-8499) = -14357", "Divide: -14357 / 6095 = -14357/6095", "Multiply: (-14357/6095) * 97892 = -1405435444/6095"], "final_answer": "-1405435444/6095", "answer_type": "rational", "kind": "expression", "math_text": "(-5858 + (-8499)) / 6095 * 97892", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5858, \"b\": -8499, \"c\": 6095, \"d\": 97892}", "seed": "9662227752356489475", "semantic_fingerprint": "sha256:72ad28dd8e22d5421700c7b16aea49a40ef219a711a68b4c87f41cea309b6b3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003017", "prompt": "Compute: (-8301 - (-33217)) / 51126", "solution_steps": ["Subtract: -8301 - (-33217) = 24916", "Divide: 24916 / 51126 = 12458/25563"], "final_answer": "12458/25563", "answer_type": "rational", "kind": "expression", "math_text": "(-8301 - (-33217)) / 51126", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8301, \"b\": -33217, \"c\": 51126}", "seed": "8395682534345183990", "semantic_fingerprint": "sha256:a64e2be37f910001f19a6d2d1c12ee7f9d2515272606c97e62c15c004995d7fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003018", "prompt": "Evaluate: -8281 * (2251 - (-4488))", "solution_steps": ["Subtract: 2251 - (-4488) = 6739", "Multiply: -8281 * 6739 = -55805659"], "final_answer": "-55805659", "answer_type": "integer", "kind": "expression", "math_text": "-8281 * (2251 - (-4488))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8281, \"b\": 2251, \"c\": -4488}", "seed": "14677620319900196845", "semantic_fingerprint": "sha256:6fadd8a8dfdf848df727599414685673c3e6ebb4e3cead209f18b7873df259a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003019", "prompt": "What value of x satisfies x - 9078 = -74704?", "solution_steps": ["Add 9078 to both sides: x = -65626"], "final_answer": "-65626", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9078 = -74704", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9078, \"b\": -74704}", "seed": "9734484060384793843", "semantic_fingerprint": "sha256:6bdad46fb1327712b7d33a7f6c446e2b0bf947ed9a53e8c6bbbd67ae773cebce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003020", "prompt": "Evaluate: 48063 - (67008 + 4639) * (-67583 + 9949)", "solution_steps": ["Add: 67008 + 4639 = 71647", "Add: -67583 + 9949 = -57634", "Multiply: 71647 * (-57634) = -4129303198", "Subtract: 48063 - (-4129303198) = 4129351261"], "final_answer": "4129351261", "answer_type": "integer", "kind": "expression", "math_text": "48063 - (67008 + 4639) * (-67583 + 9949)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 48063, \"b\": 67008, \"c\": 4639, \"d\": -67583, \"e\": 9949}", "seed": "13872638744869650778", "semantic_fingerprint": "sha256:c652780f07daef1da86f147890b7c3b9c7e08bddbc0807f9d9605a376e424415", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003021", "prompt": "Evaluate: 7614 + 1787", "solution_steps": ["Add: 7614 + 1787 = 9401"], "final_answer": "9401", "answer_type": "integer", "kind": "expression", "math_text": "7614 + 1787", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7614, \"b\": 1787}", "seed": "9601609385360357938", "semantic_fingerprint": "sha256:859a41c30e647856363b744c7233beb88f76d00db2ea9781f52b8496e6a362b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003022", "prompt": "Solve for x: 32x + 6586 = -27x - 3320", "solution_steps": ["Add 27x to both sides: 59x + 6586 = -3320", "Subtract 6586 from both sides: 59x = -9906", "Divide both sides by 59: x = -9906/59"], "final_answer": "-9906/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 6586 = -27x - 3320", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6586, \"c\": -27, \"d\": 3320}", "seed": "2891570632881796591", "semantic_fingerprint": "sha256:82407593f19bb808ebb3b0d2c475b524742576efe4c868b3d530a697fc0d11d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003023", "prompt": "Evaluate: 2333 / 2192", "solution_steps": ["Divide: 2333 / 2192 = 2333/2192"], "final_answer": "2333/2192", "answer_type": "rational", "kind": "expression", "math_text": "2333 / 2192", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2333, \"b\": 2192}", "seed": "3187618394191838631", "semantic_fingerprint": "sha256:1949462d31081e0125527ddbced67bb738c6dd218c3e4b798782a5206e290c9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003024", "prompt": "Find x: -24x + 66032 = -23(x + 5407) - 4307", "solution_steps": ["Expand: -24x + 66032 = -23x - 124361 - 4307", "Combine constants: -24x + 66032 = -23x - 128668", "Add 23x to both sides: -x + 66032 = -128668", "Subtract 66032 from both sides: -x = -194700", "Divide both sides by -1: x = 194700"], "final_answer": "194700", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x + 66032 = -23(x + 5407) - 4307", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 66032, \"c\": -23, \"d\": 5407, \"e\": 4307}", "seed": "8762940840097800693", "semantic_fingerprint": "sha256:cb698c27031c80ad6babd89630b212736df2e903df68f3bbbde4a6504faae658", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003025", "prompt": "Find x: -30x - 9958 = x", "solution_steps": ["Subtract x from both sides: -31x - 9958 = 0", "Add 9958 to both sides: -31x = 9958", "Divide both sides by -31: x = -9958/31"], "final_answer": "-9958/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30x - 9958 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 9958}", "seed": "5862928725100097844", "semantic_fingerprint": "sha256:95e03a00dc74e2d9bdb1090614216ce13ff87ccb4a55986ce0c18996cc738d85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003026", "prompt": "Compute: 88925 - (-91866 - (-8131))", "solution_steps": ["Subtract: -91866 - (-8131) = -83735", "Subtract: 88925 - (-83735) = 172660"], "final_answer": "172660", "answer_type": "integer", "kind": "expression", "math_text": "88925 - (-91866 - (-8131))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88925, \"b\": -91866, \"c\": -8131}", "seed": "15258434050751261", "semantic_fingerprint": "sha256:9488b07e27a6097b26598c3279536b12e4520f129c53ccd2805fff4f5f071f77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003027", "prompt": "Solve for x: 15x = 13(x - 8119)", "solution_steps": ["Expand: 15x = 13x - 105547", "Subtract 13x from both sides: 2x = -105547", "Divide both sides by 2: x = -105547/2"], "final_answer": "-105547/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = 13(x - 8119)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 13, \"c\": 8119}", "seed": "17758510399276698772", "semantic_fingerprint": "sha256:bb397fb4be8e21a8ec9e3abf358e10a3a1b19fdcf3548863a8518fd1c880a4c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003028", "prompt": "Compute: 5750 / (-4308) * (-6016 + 5515)", "solution_steps": ["Divide: 5750 / (-4308) = -2875/2154", "Add: -6016 + 5515 = -501", "Multiply: (-2875/2154) * (-501) = 480125/718"], "final_answer": "480125/718", "answer_type": "rational", "kind": "expression", "math_text": "5750 / (-4308) * (-6016 + 5515)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5750, \"b\": -4308, \"c\": -6016, \"d\": 5515}", "seed": "2512227552651619359", "semantic_fingerprint": "sha256:10fc387e355d3c37b215ba32215b2a8c3f8aa72709bcdb7f6b2597b583d4f9ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003029", "prompt": "Find x: x = -27x + 4060", "solution_steps": ["Add 27x to both sides: 28x = 4060", "Divide both sides by 28: x = 145"], "final_answer": "145", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -27x + 4060", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27, \"c\": 4060, \"x\": 145}", "seed": "10461716549534610892", "semantic_fingerprint": "sha256:c90e6ca67e483c1ac6893770c7133b8255098b4cca2d0dca436d2b6b830a1e77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003030", "prompt": "Find x: -27(x - 92011) = 15(x - 8207)", "solution_steps": ["Expand: -27x + 2484297 = 15(x - 8207)", "Expand: -27x + 2484297 = 15x - 123105", "Subtract 15x from both sides: -42x + 2484297 = -123105", "Subtract 2484297 from both sides: -42x = -2607402", "Divide both sides by -42: x = 62081"], "final_answer": "62081", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x - 92011) = 15(x - 8207)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 92011, \"c\": 15, \"d\": 8207}", "seed": "15528584415464206670", "semantic_fingerprint": "sha256:1f9865ef2b169de62b3f1148a78abd4ea5a93b0dc843d7c679bb2e355cc8fa9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003031", "prompt": "Evaluate: (82156 - 55144) * 3448 / (-3528)", "solution_steps": ["Subtract: 82156 - 55144 = 27012", "Multiply: 27012 * 3448 = 93137376", "Divide: 93137376 / (-3528) = -3880724/147"], "final_answer": "-3880724/147", "answer_type": "rational", "kind": "expression", "math_text": "(82156 - 55144) * 3448 / (-3528)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82156, \"b\": 55144, \"c\": 3448, \"d\": -3528}", "seed": "11287092791503524576", "semantic_fingerprint": "sha256:d658a69bd960eed52f25aed97fea2282291775408d1ccaca29abd27c9b1f70cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003032", "prompt": "What is -4990 * 69543?", "solution_steps": ["Multiply: -4990 * 69543 = -347019570"], "final_answer": "-347019570", "answer_type": "integer", "kind": "expression", "math_text": "-4990 * 69543", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4990, \"b\": 69543}", "seed": "2454969319110991503", "semantic_fingerprint": "sha256:4e96d08a0535e0025ffb8c82fd6b89b41914ef5bb99951823b99010cfcc98619", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003033", "prompt": "What is -28677 * (-8387 / (-21904))?", "solution_steps": ["Divide: -8387 / (-21904) = 8387/21904", "Multiply: -28677 * (8387/21904) = -240513999/21904"], "final_answer": "-240513999/21904", "answer_type": "rational", "kind": "expression", "math_text": "-28677 * (-8387 / (-21904))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28677, \"b\": -8387, \"c\": -21904}", "seed": "17446745941281050127", "semantic_fingerprint": "sha256:989ce94808d1f5ac80517ce8b05554776706e804c557446a2b79d66c0600ff3f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003034", "prompt": "What is 3113 - (-6111) - (-3647 - 7210)?", "solution_steps": ["Subtract: 3113 - (-6111) = 9224", "Subtract: -3647 - 7210 = -10857", "Subtract: 9224 - (-10857) = 20081"], "final_answer": "20081", "answer_type": "integer", "kind": "expression", "math_text": "3113 - (-6111) - (-3647 - 7210)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3113, \"b\": -6111, \"c\": -3647, \"d\": 7210}", "seed": "12055297161186728938", "semantic_fingerprint": "sha256:07a084f72253b7d18426a8fba0962f732159b124d4c6dfc6f508cfa3ed9dded8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003035", "prompt": "Compute: 8866 / (-20827)", "solution_steps": ["Divide: 8866 / (-20827) = -8866/20827"], "final_answer": "-8866/20827", "answer_type": "rational", "kind": "expression", "math_text": "8866 / (-20827)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8866, \"b\": -20827}", "seed": "11370551677693697095", "semantic_fingerprint": "sha256:f1fe094713d965f6927c2ca4de99ee91ca6799391fcdf1ea541a493d11a6f726", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003036", "prompt": "Evaluate: -39023 + 5337", "solution_steps": ["Add: -39023 + 5337 = -33686"], "final_answer": "-33686", "answer_type": "integer", "kind": "expression", "math_text": "-39023 + 5337", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -39023, \"b\": 5337}", "seed": "16228241507867007604", "semantic_fingerprint": "sha256:0732b4814d56ea4035dfdf37bb848c210c41637ebfda0fd6a7196e34d3eafb22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003037", "prompt": "Compute: (-9875 + 35519) * (-65508)", "solution_steps": ["Add: -9875 + 35519 = 25644", "Multiply: 25644 * (-65508) = -1679887152"], "final_answer": "-1679887152", "answer_type": "integer", "kind": "expression", "math_text": "(-9875 + 35519) * (-65508)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9875, \"b\": 35519, \"c\": -65508}", "seed": "16820384107759735164", "semantic_fingerprint": "sha256:7cc8d75dc5d0257e26aaaf582b2b138688602ec85b3c509a000b912b86850144", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003038", "prompt": "What is 2305 * (17823 + (-3466) - 77716)?", "solution_steps": ["Add: 17823 + (-3466) = 14357", "Subtract: 14357 - 77716 = -63359", "Multiply: 2305 * (-63359) = -146042495"], "final_answer": "-146042495", "answer_type": "integer", "kind": "expression", "math_text": "2305 * (17823 + (-3466) - 77716)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2305, \"b\": 17823, \"c\": -3466, \"d\": 77716}", "seed": "11254543884055468028", "semantic_fingerprint": "sha256:847207db3ed8c146d1dccf53804ab9b9674c1b33c9825658007628c2072cf216", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003039", "prompt": "Calculate: (-76542 - 6465) * (-58943 + 9849 - (-6555))", "solution_steps": ["Subtract: -76542 - 6465 = -83007", "Add: -58943 + 9849 = -49094", "Subtract: -49094 - (-6555) = -42539", "Multiply: -83007 * (-42539) = 3531034773"], "final_answer": "3531034773", "answer_type": "integer", "kind": "expression", "math_text": "(-76542 - 6465) * (-58943 + 9849 - (-6555))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76542, \"b\": 6465, \"c\": -58943, \"d\": 9849, \"e\": -6555}", "seed": "18180001143110405135", "semantic_fingerprint": "sha256:8dadd260c17c518af582e4505a277ea97f3391cfe7ed0e6a3fdc6f492b0e306a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003040", "prompt": "Evaluate: -38051 + (-4123) * (-71231)", "solution_steps": ["Multiply: -4123 * (-71231) = 293685413", "Add: -38051 + 293685413 = 293647362"], "final_answer": "293647362", "answer_type": "integer", "kind": "expression", "math_text": "-38051 + (-4123) * (-71231)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38051, \"b\": -4123, \"c\": -71231}", "seed": "5077397637577099647", "semantic_fingerprint": "sha256:76edb271e826f4dcc6cf0a9f06a04905b0bc8c42a1ede35f3e7909a361a93357", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003041", "prompt": "Calculate: (9057 + 87649) * 2273 - (-90010)", "solution_steps": ["Add: 9057 + 87649 = 96706", "Multiply: 96706 * 2273 = 219812738", "Subtract: 219812738 - (-90010) = 219902748"], "final_answer": "219902748", "answer_type": "integer", "kind": "expression", "math_text": "(9057 + 87649) * 2273 - (-90010)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9057, \"b\": 87649, \"c\": 2273, \"d\": -90010}", "seed": "8588213022182188866", "semantic_fingerprint": "sha256:1dee7a23ff9417ece0ee7b7434cddbddefc3205fb60883dc6d1ac058ab8507a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003042", "prompt": "Calculate: 9326 * (-4355 + 4806 + (-4322 + (-56032)))", "solution_steps": ["Add: -4355 + 4806 = 451", "Add: -4322 + (-56032) = -60354", "Add: 451 + (-60354) = -59903", "Multiply: 9326 * (-59903) = -558655378"], "final_answer": "-558655378", "answer_type": "integer", "kind": "expression", "math_text": "9326 * (-4355 + 4806 + (-4322 + (-56032)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9326, \"b\": -4355, \"c\": 4806, \"d\": -4322, \"e\": -56032}", "seed": "2863570654357838874", "semantic_fingerprint": "sha256:fe27ff7d73d6d555f99706c6fa33113cceea77dd94d6f1c3d2965debfad27b82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003043", "prompt": "Calculate: 5777 * (5411 / 2728)", "solution_steps": ["Divide: 5411 / 2728 = 5411/2728", "Multiply: 5777 * (5411/2728) = 31259347/2728"], "final_answer": "31259347/2728", "answer_type": "rational", "kind": "expression", "math_text": "5777 * (5411 / 2728)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5777, \"b\": 5411, \"c\": 2728}", "seed": "7256954343923108333", "semantic_fingerprint": "sha256:2d6b8fe133a18ed595adedbed7b8312c7ac1a9b70ec6488a1459f3d6fd3a6518", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003044", "prompt": "Evaluate: 7334 - 43794", "solution_steps": ["Subtract: 7334 - 43794 = -36460"], "final_answer": "-36460", "answer_type": "integer", "kind": "expression", "math_text": "7334 - 43794", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7334, \"b\": 43794}", "seed": "6767731485644363347", "semantic_fingerprint": "sha256:0160175e273d141e68743002712e9a71c6deda431241a280601749c9cd3f203f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003045", "prompt": "Calculate: 58713 + (-82016) / 1557 * (5604 + (-3822))", "solution_steps": ["Divide: -82016 / 1557 = -82016/1557", "Add: 5604 + (-3822) = 1782", "Multiply: (-82016/1557) * 1782 = -16239168/173", "Add: 58713 + (-16239168/173) = -6081819/173"], "final_answer": "-6081819/173", "answer_type": "rational", "kind": "expression", "math_text": "58713 + (-82016) / 1557 * (5604 + (-3822))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 58713, \"b\": -82016, \"c\": 1557, \"d\": 5604, \"e\": -3822}", "seed": "14182350268924042432", "semantic_fingerprint": "sha256:66fb2a9fa2c98749f09b52dea5e8fd09034bbfa5b84e51fd3cc7f28f0557287a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003046", "prompt": "Evaluate: 6428 * 74842 / 9151 + (-6807 + (-2450) - 15966)", "solution_steps": ["Multiply: 6428 * 74842 = 481084376", "Divide: 481084376 / 9151 = 481084376/9151", "Add: -6807 + (-2450) = -9257", "Subtract: -9257 - 15966 = -25223", "Add: 481084376/9151 + (-25223) = 250268703/9151"], "final_answer": "250268703/9151", "answer_type": "rational", "kind": "expression", "math_text": "6428 * 74842 / 9151 + (-6807 + (-2450) - 15966)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6428, \"b\": 74842, \"c\": 9151, \"d\": -6807, \"e\": -2450, \"f\": 15966}", "seed": "18177560262209583462", "semantic_fingerprint": "sha256:3530de588f2f52f5741c2e0f9d92dbb558c7935b58a3806dab20bb330fecf674", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003047", "prompt": "Calculate: 9354 - (2008 + (-97489))", "solution_steps": ["Add: 2008 + (-97489) = -95481", "Subtract: 9354 - (-95481) = 104835"], "final_answer": "104835", "answer_type": "integer", "kind": "expression", "math_text": "9354 - (2008 + (-97489))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9354, \"b\": 2008, \"c\": -97489}", "seed": "9244060783773734108", "semantic_fingerprint": "sha256:e918d51658b7f079411d8927ec6004e737cd57832cf58bdb79a7128ff476f457", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003048", "prompt": "Calculate: 7955 / (5473 + (-5703))", "solution_steps": ["Add: 5473 + (-5703) = -230", "Divide: 7955 / (-230) = -1591/46"], "final_answer": "-1591/46", "answer_type": "rational", "kind": "expression", "math_text": "7955 / (5473 + (-5703))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7955, \"b\": 5473, \"c\": -5703}", "seed": "9265878115238906007", "semantic_fingerprint": "sha256:07ac673ace42e0f621bf4723b117392728ea9528a74ef7a30e1d7e596554e5f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003049", "prompt": "Calculate: 3443 - (-66716) - (-8042)", "solution_steps": ["Subtract: 3443 - (-66716) = 70159", "Subtract: 70159 - (-8042) = 78201"], "final_answer": "78201", "answer_type": "integer", "kind": "expression", "math_text": "3443 - (-66716) - (-8042)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3443, \"b\": -66716, \"c\": -8042}", "seed": "18227370491717739670", "semantic_fingerprint": "sha256:01986aa0a09f67bb37dc31cd46705b6a1781bc3ecfce2dd1c3621f7a09fef751", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003050", "prompt": "What is -9471 / 68913 - 6457?", "solution_steps": ["Divide: -9471 / 68913 = -3157/22971", "Subtract: -3157/22971 - 6457 = -148326904/22971"], "final_answer": "-148326904/22971", "answer_type": "rational", "kind": "expression", "math_text": "-9471 / 68913 - 6457", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9471, \"b\": 68913, \"c\": 6457}", "seed": "11636436594984501397", "semantic_fingerprint": "sha256:3f4ddb1e319b9186762d7a6944bb8af1216e2430fb275af1f7c6daeeaf949081", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003051", "prompt": "Find x: 20(x - 3142) - 5423 = -24x - 70991", "solution_steps": ["Expand: 20x - 62840 - 5423 = -24x - 70991", "Combine constants: 20x - 68263 = -24x - 70991", "Add 24x to both sides: 44x - 68263 = -70991", "Add 68263 to both sides: 44x = -2728", "Divide both sides by 44: x = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 3142) - 5423 = -24x - 70991", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3142, \"c\": 5423, \"d\": -24, \"f\": -70991, \"x\": -62}", "seed": "11244317173727390200", "semantic_fingerprint": "sha256:ec188fd56f62d24f7be2e13b06d20f7d1fdea4cb5a59c088f6d19a0c4226afe6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003052", "prompt": "Solve the equation -13x + 85048 = x - 30548 for x.", "solution_steps": ["Subtract x from both sides: -14x + 85048 = -30548", "Subtract 85048 from both sides: -14x = -115596", "Divide both sides by -14: x = 57798/7"], "final_answer": "57798/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x + 85048 = x - 30548", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 85048, \"c\": 30548}", "seed": "4150548282657136241", "semantic_fingerprint": "sha256:5344b448d993caab7f718b54a426463b62b16251d93000eb18319477e080972d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003053", "prompt": "Compute: (-54553 + (-4833)) / (-1988)", "solution_steps": ["Add: -54553 + (-4833) = -59386", "Divide: -59386 / (-1988) = 29693/994"], "final_answer": "29693/994", "answer_type": "rational", "kind": "expression", "math_text": "(-54553 + (-4833)) / (-1988)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54553, \"b\": -4833, \"c\": -1988}", "seed": "3919819903725090276", "semantic_fingerprint": "sha256:c0579e62b69adb4b73bb560ca2254e59e65cbfbfd68035492c251cbb832f1a80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003054", "prompt": "Evaluate: 6905 + (-7544) * (-8280) / 4315", "solution_steps": ["Multiply: -7544 * (-8280) = 62464320", "Divide: 62464320 / 4315 = 12492864/863", "Add: 6905 + 12492864/863 = 18451879/863"], "final_answer": "18451879/863", "answer_type": "rational", "kind": "expression", "math_text": "6905 + (-7544) * (-8280) / 4315", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6905, \"b\": -7544, \"c\": -8280, \"d\": 4315}", "seed": "17375949454941498234", "semantic_fingerprint": "sha256:6d28bb564ab011b3b1571e7ee6b7f9c53e20a396599548276373f2a96218c420", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003055", "prompt": "Find x: x = 20x - 1767", "solution_steps": ["Subtract 20x from both sides: -19x = -1767", "Divide both sides by -19: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 20x - 1767", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": -1767, \"x\": 93}", "seed": "17197227294551387219", "semantic_fingerprint": "sha256:71401590c0998bd7149c6205b72ead4af939e4a307cfb5793646acd9ca94fa5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003056", "prompt": "What is -86966 + 6745?", "solution_steps": ["Add: -86966 + 6745 = -80221"], "final_answer": "-80221", "answer_type": "integer", "kind": "expression", "math_text": "-86966 + 6745", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86966, \"b\": 6745}", "seed": "1378204188007014825", "semantic_fingerprint": "sha256:cb31ef35e221507a84ffd829f8874619a5a9cc1bca3b4c118924951fa7eeafbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003057", "prompt": "What is (1607 + (-9406)) / (-88143)?", "solution_steps": ["Add: 1607 + (-9406) = -7799", "Divide: -7799 / (-88143) = 709/8013"], "final_answer": "709/8013", "answer_type": "rational", "kind": "expression", "math_text": "(1607 + (-9406)) / (-88143)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1607, \"b\": -9406, \"c\": -88143}", "seed": "6776519659217597810", "semantic_fingerprint": "sha256:22bfc0f1f8f2c1aebc40ee3c0d8f208781d581a45dc1576e57d5df8e13b88eba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003058", "prompt": "Compute: 6912 - (-2998 - (-36592))", "solution_steps": ["Subtract: -2998 - (-36592) = 33594", "Subtract: 6912 - 33594 = -26682"], "final_answer": "-26682", "answer_type": "integer", "kind": "expression", "math_text": "6912 - (-2998 - (-36592))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6912, \"b\": -2998, \"c\": -36592}", "seed": "9121797079022335955", "semantic_fingerprint": "sha256:5e5c43d1e6ac1128195d061b953e63f654e7ac5790601e75c9ee7306d16c2eeb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003059", "prompt": "Calculate: -75085 + 2701 - (8095 - 6517 + (-8772))", "solution_steps": ["Add: -75085 + 2701 = -72384", "Subtract: 8095 - 6517 = 1578", "Add: 1578 + (-8772) = -7194", "Subtract: -72384 - (-7194) = -65190"], "final_answer": "-65190", "answer_type": "integer", "kind": "expression", "math_text": "-75085 + 2701 - (8095 - 6517 + (-8772))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -75085, \"b\": 2701, \"c\": 8095, \"d\": 6517, \"e\": -8772}", "seed": "4519423492427165471", "semantic_fingerprint": "sha256:d0946d05058e917f507ef4f2a766837ef3f21610e0f2e97ee21018a72b3ed7da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003060", "prompt": "Compute: 3859 + 2409 * 1021", "solution_steps": ["Multiply: 2409 * 1021 = 2459589", "Add: 3859 + 2459589 = 2463448"], "final_answer": "2463448", "answer_type": "integer", "kind": "expression", "math_text": "3859 + 2409 * 1021", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3859, \"b\": 2409, \"c\": 1021}", "seed": "13072821647184751448", "semantic_fingerprint": "sha256:575adfa9051f6710eb10dbe431c99eacc6ca9bdc094f652d29d627a7404752f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003061", "prompt": "What is -33820 * (-88873)?", "solution_steps": ["Multiply: -33820 * (-88873) = 3005684860"], "final_answer": "3005684860", "answer_type": "integer", "kind": "expression", "math_text": "-33820 * (-88873)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33820, \"b\": -88873}", "seed": "1039814906310603095", "semantic_fingerprint": "sha256:9eb96fe8652ba002504f1d749039f9bcceb9dc4f9de7307da751165febd19be9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003062", "prompt": "Find x: x + 7308 = 24x + 4456", "solution_steps": ["Subtract 24x from both sides: -23x + 7308 = 4456", "Subtract 7308 from both sides: -23x = -2852", "Divide both sides by -23: x = 124"], "final_answer": "124", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7308 = 24x + 4456", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7308, \"b\": 24, \"d\": 4456, \"x\": 124}", "seed": "10628547683709373860", "semantic_fingerprint": "sha256:f8950b61459c11b1eb6e177e1e24f4ff48a53ec7b758c04b53200bef50220f73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003063", "prompt": "What is -7626 / 61089 * 29627?", "solution_steps": ["Divide: -7626 / 61089 = -2542/20363", "Multiply: (-2542/20363) * 29627 = -75311834/20363"], "final_answer": "-75311834/20363", "answer_type": "rational", "kind": "expression", "math_text": "-7626 / 61089 * 29627", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7626, \"b\": 61089, \"c\": 29627}", "seed": "13664977347522353917", "semantic_fingerprint": "sha256:0bb29a3b2b5c3279edd01168fbc72c31f5012a9c437e5e8bb38771f7d38a9424", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003064", "prompt": "What is -33251 * (-2645 - (-5872))?", "solution_steps": ["Subtract: -2645 - (-5872) = 3227", "Multiply: -33251 * 3227 = -107300977"], "final_answer": "-107300977", "answer_type": "integer", "kind": "expression", "math_text": "-33251 * (-2645 - (-5872))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33251, \"b\": -2645, \"c\": -5872}", "seed": "14081525513906267604", "semantic_fingerprint": "sha256:ab1e881fc92cac40c2d5d5429e2644f5f3dda3af17936ac5be5160b4c34c289e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003065", "prompt": "What is -7531 + 2253?", "solution_steps": ["Add: -7531 + 2253 = -5278"], "final_answer": "-5278", "answer_type": "integer", "kind": "expression", "math_text": "-7531 + 2253", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7531, \"b\": 2253}", "seed": "17780484776311769540", "semantic_fingerprint": "sha256:626e1527b4e5d917e4dc11c86d0b69a12c8ad31911c4bd13d540a893253908bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003066", "prompt": "Calculate: 3692 * (-2314) / (-3204)", "solution_steps": ["Multiply: 3692 * (-2314) = -8543288", "Divide: -8543288 / (-3204) = 23998/9"], "final_answer": "23998/9", "answer_type": "rational", "kind": "expression", "math_text": "3692 * (-2314) / (-3204)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3692, \"b\": -2314, \"c\": -3204}", "seed": "7328258602597385860", "semantic_fingerprint": "sha256:22a546bf535b415460c4866cae4018538f3865a514f26f2966bd0c66ca29adfe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003067", "prompt": "Solve for x: x = -27x - 2156", "solution_steps": ["Add 27x to both sides: 28x = -2156", "Divide both sides by 28: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -27x - 2156", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27, \"c\": -2156, \"x\": -77}", "seed": "3796490387201844796", "semantic_fingerprint": "sha256:8e98077b6671f85c5ef8f654ef9e905e302ad4777c0353a2e1f8befa34457a89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003068", "prompt": "Solve for x: -25(x + 7643) + 4684 = x", "solution_steps": ["Expand: -25x - 191075 + 4684 = x", "Combine constants: -25x - 186391 = x", "Subtract x from both sides: -26x - 186391 = 0", "Add 186391 to both sides: -26x = 186391", "Divide both sides by -26: x = -186391/26"], "final_answer": "-186391/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 7643) + 4684 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 7643, \"c\": 4684}", "seed": "11896928882050478497", "semantic_fingerprint": "sha256:4696c36c2d47a3185f0228c70a04feec9f6da323bbce1cf426280b73e2fd4177", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003069", "prompt": "Solve the equation -31(x - 4672) = x - 8962 for x.", "solution_steps": ["Expand: -31x + 144832 = x - 8962", "Subtract x from both sides: -32x + 144832 = -8962", "Subtract 144832 from both sides: -32x = -153794", "Divide both sides by -32: x = 76897/16"], "final_answer": "76897/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 4672) = x - 8962", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 4672, \"c\": 8962}", "seed": "3435631253877794836", "semantic_fingerprint": "sha256:71b156fdbf1da691ef4a85e1e2444411e7c4ba49b37ec226a792707714b70f32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003070", "prompt": "Compute: 6542 * 51989 + (7044 + (-72220))", "solution_steps": ["Multiply: 6542 * 51989 = 340112038", "Add: 7044 + (-72220) = -65176", "Add: 340112038 + (-65176) = 340046862"], "final_answer": "340046862", "answer_type": "integer", "kind": "expression", "math_text": "6542 * 51989 + (7044 + (-72220))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6542, \"b\": 51989, \"c\": 7044, \"d\": -72220}", "seed": "4079864061527484783", "semantic_fingerprint": "sha256:0e7c518f5b9d55eab524f37e1249333f03653942778a214523dffb36b254491c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003071", "prompt": "Calculate: 1274 + (5442 + (-1576) - (-7963) / (-5451))", "solution_steps": ["Add: 5442 + (-1576) = 3866", "Divide: -7963 / (-5451) = 7963/5451", "Subtract: 3866 - 7963/5451 = 21065603/5451", "Add: 1274 + 21065603/5451 = 28010177/5451"], "final_answer": "28010177/5451", "answer_type": "rational", "kind": "expression", "math_text": "1274 + (5442 + (-1576) - (-7963) / (-5451))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1274, \"b\": 5442, \"c\": -1576, \"d\": -7963, \"e\": -5451}", "seed": "14855401705611743249", "semantic_fingerprint": "sha256:05b0cb10e2f829d267691a136b917a356836e3553c59707bd9ad7ffc29e21804", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003072", "prompt": "What is 4277 + (-6050) / 85604?", "solution_steps": ["Divide: -6050 / 85604 = -3025/42802", "Add: 4277 + (-3025/42802) = 183061129/42802"], "final_answer": "183061129/42802", "answer_type": "rational", "kind": "expression", "math_text": "4277 + (-6050) / 85604", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4277, \"b\": -6050, \"c\": 85604}", "seed": "13654959727976822131", "semantic_fingerprint": "sha256:929e962ea76d49bc6d28f842f6bdd741e5af342120556a6499f6c0010aa3f377", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003073", "prompt": "Calculate: 4381 - (-34313 - (-7112) + (-6851)) * (1780 - (-36306))", "solution_steps": ["Subtract: -34313 - (-7112) = -27201", "Add: -27201 + (-6851) = -34052", "Subtract: 1780 - (-36306) = 38086", "Multiply: -34052 * 38086 = -1296904472", "Subtract: 4381 - (-1296904472) = 1296908853"], "final_answer": "1296908853", "answer_type": "integer", "kind": "expression", "math_text": "4381 - (-34313 - (-7112) + (-6851)) * (1780 - (-36306))", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ (- n n) n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4381, \"b\": -34313, \"c\": -7112, \"d\": -6851, \"e\": 1780, \"f\": -36306}", "seed": "6114672074898120962", "semantic_fingerprint": "sha256:8e764d9422090f2e10f5f08639b462d032da3ef6ae07f4597d8062dab452cd26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003074", "prompt": "Solve the equation x = -13(x - 72426) for x.", "solution_steps": ["Expand: x = -13x + 941538", "Add 13x to both sides: 14x = 941538", "Divide both sides by 14: x = 470769/7"], "final_answer": "470769/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -13(x - 72426)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 72426}", "seed": "7663857199333113898", "semantic_fingerprint": "sha256:cd521a9ae0bbb9a5ca44eed6649aab338a999ae66384d70d96334625e326c46a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003075", "prompt": "What value of x satisfies 38x - 4766 = -1784?", "solution_steps": ["Add 4766 to both sides: 38x = 2982", "Divide both sides by 38: x = 1491/19"], "final_answer": "1491/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x - 4766 = -1784", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 4766, \"c\": -1784}", "seed": "3043215252554503512", "semantic_fingerprint": "sha256:23fac245945070ba01ad90a99dd6611a063bacea6cdfa577a37ea3e3051af058", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003076", "prompt": "Solve for x: 15(x + 24761) = x", "solution_steps": ["Expand: 15x + 371415 = x", "Subtract x from both sides: 14x + 371415 = 0", "Subtract 371415 from both sides: 14x = -371415", "Divide both sides by 14: x = -371415/14"], "final_answer": "-371415/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 24761) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 24761}", "seed": "10249200628714848952", "semantic_fingerprint": "sha256:2effd0a5bc6ac08ce5770c5c545209fe59ccd4818aa8d686a228325a5eed1ac3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003077", "prompt": "Solve for x: 26(x + 85481) = x", "solution_steps": ["Expand: 26x + 2222506 = x", "Subtract x from both sides: 25x + 2222506 = 0", "Subtract 2222506 from both sides: 25x = -2222506", "Divide both sides by 25: x = -2222506/25"], "final_answer": "-2222506/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 85481) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 85481}", "seed": "8221907756298797107", "semantic_fingerprint": "sha256:58cedeba0078b56a25decf3c053dbe81724a933db8fa7ac1e6fd9a8a05fade9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003078", "prompt": "Calculate: -8625 * (1555 + (-5329))", "solution_steps": ["Add: 1555 + (-5329) = -3774", "Multiply: -8625 * (-3774) = 32550750"], "final_answer": "32550750", "answer_type": "integer", "kind": "expression", "math_text": "-8625 * (1555 + (-5329))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8625, \"b\": 1555, \"c\": -5329}", "seed": "7078634898615722836", "semantic_fingerprint": "sha256:d66d0b9f8a37935d37751191c43ba122f5694875aeb5284bd04b07b1a71acac8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003079", "prompt": "Solve the equation 21x = x - 6957 for x.", "solution_steps": ["Subtract x from both sides: 20x = -6957", "Divide both sides by 20: x = -6957/20"], "final_answer": "-6957/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x = x - 6957", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 6957}", "seed": "17080118440995593968", "semantic_fingerprint": "sha256:5a2ab901855ea570dde071e1014106defe65c0d367bbc3b7a5babcba417a445b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003080", "prompt": "Evaluate: -40704 - (-76832 + 10909)", "solution_steps": ["Add: -76832 + 10909 = -65923", "Subtract: -40704 - (-65923) = 25219"], "final_answer": "25219", "answer_type": "integer", "kind": "expression", "math_text": "-40704 - (-76832 + 10909)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40704, \"b\": -76832, \"c\": 10909}", "seed": "5517208081848142565", "semantic_fingerprint": "sha256:ebd258884bac5ee0612544b65c35036064a284ed82e09810c9c5ec7e554ee2ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003081", "prompt": "Solve the equation x + 8789 = 20(x + 9982) - 7441 for x.", "solution_steps": ["Expand: x + 8789 = 20x + 199640 - 7441", "Combine constants: x + 8789 = 20x + 192199", "Subtract 20x from both sides: -19x + 8789 = 192199", "Subtract 8789 from both sides: -19x = 183410", "Divide both sides by -19: x = -183410/19"], "final_answer": "-183410/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8789 = 20(x + 9982) - 7441", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8789, \"b\": 20, \"c\": 9982, \"d\": 7441}", "seed": "4314556277384572518", "semantic_fingerprint": "sha256:fc959e3d9ee9ef6cfc04407ba71bf57d809cfa2182bc344d98486152bf09b3fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003082", "prompt": "Solve for x: -20(x + 72409) + 9315 = -21(x + 54810) + 79725", "solution_steps": ["Expand: -20x - 1448180 + 9315 = -21(x + 54810) + 79725", "Expand: -20x - 1448180 + 9315 = -21x - 1151010 + 79725", "Combine constants: -20x - 1438865 = -21x - 1151010 + 79725", "Combine constants: -20x - 1438865 = -21x - 1071285", "Add 21x to both sides: x - 1438865 = -1071285", "Add 1438865 to both sides: x = 367580"], "final_answer": "367580", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x + 72409) + 9315 = -21(x + 54810) + 79725", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 72409, \"c\": 9315, \"d\": -21, \"e\": 54810, \"f\": 79725}", "seed": "3962957101383982911", "semantic_fingerprint": "sha256:3cd2c96c8d06b73b706e99bfbb59887505e0c2b1a93ff82b946eff737c07ad33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003083", "prompt": "Compute: 8591 / 4950", "solution_steps": ["Divide: 8591 / 4950 = 781/450"], "final_answer": "781/450", "answer_type": "rational", "kind": "expression", "math_text": "8591 / 4950", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8591, \"b\": 4950}", "seed": "940872068561210649", "semantic_fingerprint": "sha256:066185cc9ca2968be7b8ae23f2662d9a846866bb1d3612dd7c424aba78bb8fbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003084", "prompt": "What value of x satisfies x = 14x - 1300?", "solution_steps": ["Subtract 14x from both sides: -13x = -1300", "Divide both sides by -13: x = 100"], "final_answer": "100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14x - 1300", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": -1300, \"x\": 100}", "seed": "12659280678523694973", "semantic_fingerprint": "sha256:57d61d12928ce9729e00f35374604633a80ed6671f1be90235fc4a7922611949", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003085", "prompt": "Solve for x: -19x - 4325 = x - 6065", "solution_steps": ["Subtract x from both sides: -20x - 4325 = -6065", "Add 4325 to both sides: -20x = -1740", "Divide both sides by -20: x = 87"], "final_answer": "87", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x - 4325 = x - 6065", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 4325, \"d\": -6065, \"x\": 87}", "seed": "8694560875956472090", "semantic_fingerprint": "sha256:972c30dd045a75766d4f2ac9995fc153c1b335f94ac5890f814d6498192ca858", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003086", "prompt": "Calculate: 45316 / (40488 + 13802)", "solution_steps": ["Add: 40488 + 13802 = 54290", "Divide: 45316 / 54290 = 22658/27145"], "final_answer": "22658/27145", "answer_type": "rational", "kind": "expression", "math_text": "45316 / (40488 + 13802)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45316, \"b\": 40488, \"c\": 13802}", "seed": "2572079843310119026", "semantic_fingerprint": "sha256:e6b91df2fda1f80b9ac6ef5b4cc54e1fa631446eb80b03c6a7272c258c9b1fcd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003087", "prompt": "Calculate: 22623 * (-50291)", "solution_steps": ["Multiply: 22623 * (-50291) = -1137733293"], "final_answer": "-1137733293", "answer_type": "integer", "kind": "expression", "math_text": "22623 * (-50291)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 22623, \"b\": -50291}", "seed": "1816150677432459386", "semantic_fingerprint": "sha256:717b97f9c068be2e0509c4d260e16eea69f9445d958f43f6a443a9a943cabf9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003088", "prompt": "Find x: -13(x - 5810) + 30872 = -31(x - 1894) + 48966", "solution_steps": ["Expand: -13x + 75530 + 30872 = -31(x - 1894) + 48966", "Expand: -13x + 75530 + 30872 = -31x + 58714 + 48966", "Combine constants: -13x + 106402 = -31x + 58714 + 48966", "Combine constants: -13x + 106402 = -31x + 107680", "Add 31x to both sides: 18x + 106402 = 107680", "Subtract 106402 from both sides: 18x = 1278", "Divide both sides by 18: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 5810) + 30872 = -31(x - 1894) + 48966", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5810, \"c\": 30872, \"d\": -31, \"e\": 1894, \"g\": 48966, \"x\": 71}", "seed": "15180645319264439531", "semantic_fingerprint": "sha256:889bc84287844f40db8c28eae7d8cb9ef456024c7c15c5d3710d2824ce4b1811", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003089", "prompt": "Evaluate: -6999 + 96237", "solution_steps": ["Add: -6999 + 96237 = 89238"], "final_answer": "89238", "answer_type": "integer", "kind": "expression", "math_text": "-6999 + 96237", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6999, \"b\": 96237}", "seed": "14126257733054646138", "semantic_fingerprint": "sha256:2fde323f748411f026dca5b9dd2e82f4b1f179d9d96f92104d931b14613edc2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003090", "prompt": "Compute: -5003 * (7371 * 6067)", "solution_steps": ["Multiply: 7371 * 6067 = 44719857", "Multiply: -5003 * 44719857 = -223733444571"], "final_answer": "-223733444571", "answer_type": "integer", "kind": "expression", "math_text": "-5003 * (7371 * 6067)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5003, \"b\": 7371, \"c\": 6067}", "seed": "4910916979935112178", "semantic_fingerprint": "sha256:ca28ddb3073945e497297675f407a00439442838ca8202bfa420f308dd0ef432", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003091", "prompt": "What is 6201 / (-99455)?", "solution_steps": ["Divide: 6201 / (-99455) = -6201/99455"], "final_answer": "-6201/99455", "answer_type": "rational", "kind": "expression", "math_text": "6201 / (-99455)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6201, \"b\": -99455}", "seed": "16391160419106202797", "semantic_fingerprint": "sha256:fe7be04aa3bb6a9d3bdad4131b04001c3181bdcccde8bc3ea29bf0b415c1e3a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003092", "prompt": "What is -25952 * (6323 / (-1959))?", "solution_steps": ["Divide: 6323 / (-1959) = -6323/1959", "Multiply: -25952 * (-6323/1959) = 164094496/1959"], "final_answer": "164094496/1959", "answer_type": "rational", "kind": "expression", "math_text": "-25952 * (6323 / (-1959))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25952, \"b\": 6323, \"c\": -1959}", "seed": "12455286496490612249", "semantic_fingerprint": "sha256:1c81b976b1c549da747688f2ab50de978ce294a6415e26e1e5fef6b7336c662c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003093", "prompt": "Compute: (93002 - 9619) * (-4828)", "solution_steps": ["Subtract: 93002 - 9619 = 83383", "Multiply: 83383 * (-4828) = -402573124"], "final_answer": "-402573124", "answer_type": "integer", "kind": "expression", "math_text": "(93002 - 9619) * (-4828)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93002, \"b\": 9619, \"c\": -4828}", "seed": "8572491450497354710", "semantic_fingerprint": "sha256:d76f70ac1c8722f52dc800f7d7346557f027880cedf3abbc553e4726775e7849", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003094", "prompt": "Evaluate: 38639 / (94583 + (86931 - 2500))", "solution_steps": ["Subtract: 86931 - 2500 = 84431", "Add: 94583 + 84431 = 179014", "Divide: 38639 / 179014 = 38639/179014"], "final_answer": "38639/179014", "answer_type": "rational", "kind": "expression", "math_text": "38639 / (94583 + (86931 - 2500))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38639, \"b\": 94583, \"c\": 86931, \"d\": 2500}", "seed": "2549271381134079394", "semantic_fingerprint": "sha256:b38049edccb2f4e0d6b6e5590573e87b7ca1df66ba88d3fd6365681de823b1f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003095", "prompt": "What is -18076 / (-2861)?", "solution_steps": ["Divide: -18076 / (-2861) = 18076/2861"], "final_answer": "18076/2861", "answer_type": "rational", "kind": "expression", "math_text": "-18076 / (-2861)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18076, \"b\": -2861}", "seed": "16303202188586424609", "semantic_fingerprint": "sha256:c4f117bbb22e08db114e71fd32e6a1dc39cc8a2153cfba8681c34a6877c54d5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003096", "prompt": "What is -9003 / 29237?", "solution_steps": ["Divide: -9003 / 29237 = -9003/29237"], "final_answer": "-9003/29237", "answer_type": "rational", "kind": "expression", "math_text": "-9003 / 29237", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9003, \"b\": 29237}", "seed": "10203944938876086476", "semantic_fingerprint": "sha256:d5ce7e83855dff624dfab2876ede023ce20d7e0359bbb75bff619da73d09261e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003097", "prompt": "What value of x satisfies 27(x - 35522) + 4451 = 19(x + 5091) + 52951?", "solution_steps": ["Expand: 27x - 959094 + 4451 = 19(x + 5091) + 52951", "Expand: 27x - 959094 + 4451 = 19x + 96729 + 52951", "Combine constants: 27x - 954643 = 19x + 96729 + 52951", "Combine constants: 27x - 954643 = 19x + 149680", "Subtract 19x from both sides: 8x - 954643 = 149680", "Add 954643 to both sides: 8x = 1104323", "Divide both sides by 8: x = 1104323/8"], "final_answer": "1104323/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 35522) + 4451 = 19(x + 5091) + 52951", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 35522, \"c\": 4451, \"d\": 19, \"e\": 5091, \"f\": 52951}", "seed": "3177092888325469847", "semantic_fingerprint": "sha256:2fc9c4ddb7cca889c6dfafc693b6a4e8ddea780b213080a2ad932706c185b1b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003098", "prompt": "Evaluate: (17516 + (-64405)) * (-32490 / 7770) - 19242", "solution_steps": ["Add: 17516 + (-64405) = -46889", "Divide: -32490 / 7770 = -1083/259", "Multiply: -46889 * (-1083/259) = 50780787/259", "Subtract: 50780787/259 - 19242 = 45797109/259"], "final_answer": "45797109/259", "answer_type": "rational", "kind": "expression", "math_text": "(17516 + (-64405)) * (-32490 / 7770) - 19242", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17516, \"b\": -64405, \"c\": -32490, \"d\": 7770, \"e\": 19242}", "seed": "5746451126375383289", "semantic_fingerprint": "sha256:2f765c22387e2794301af9baac2804e36d1b91b574ca966770f435481358a1bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003099", "prompt": "Evaluate: 95538 - (-90073 + (-51069) - (-4697))", "solution_steps": ["Add: -90073 + (-51069) = -141142", "Subtract: -141142 - (-4697) = -136445", "Subtract: 95538 - (-136445) = 231983"], "final_answer": "231983", "answer_type": "integer", "kind": "expression", "math_text": "95538 - (-90073 + (-51069) - (-4697))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 95538, \"b\": -90073, \"c\": -51069, \"d\": -4697}", "seed": "2729414042385132701", "semantic_fingerprint": "sha256:7b4cf963d15b99c44126f26d3d347bdbac031b7136672f94880317817f972acc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003100", "prompt": "Find x: -27(x + 2291) + 2100 = x - 61493", "solution_steps": ["Expand: -27x - 61857 + 2100 = x - 61493", "Combine constants: -27x - 59757 = x - 61493", "Subtract x from both sides: -28x - 59757 = -61493", "Add 59757 to both sides: -28x = -1736", "Divide both sides by -28: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x + 2291) + 2100 = x - 61493", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2291, \"c\": 2100, \"e\": -61493, \"x\": 62}", "seed": "5551581988594569793", "semantic_fingerprint": "sha256:e6cfd507264768b9f15927384c993d29beb068b5e66a17e5f2961dcff83617e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003101", "prompt": "Compute: 50181 + (-7955) + (-7704) * 4863", "solution_steps": ["Add: 50181 + (-7955) = 42226", "Multiply: -7704 * 4863 = -37464552", "Add: 42226 + (-37464552) = -37422326"], "final_answer": "-37422326", "answer_type": "integer", "kind": "expression", "math_text": "50181 + (-7955) + (-7704) * 4863", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50181, \"b\": -7955, \"c\": -7704, \"d\": 4863}", "seed": "15271084435151898432", "semantic_fingerprint": "sha256:18de78bb1c1a23c166eed7695127bc7e1914b31bdad55a6cc448c5544dbea735", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003102", "prompt": "Compute: -6687 - 7518", "solution_steps": ["Subtract: -6687 - 7518 = -14205"], "final_answer": "-14205", "answer_type": "integer", "kind": "expression", "math_text": "-6687 - 7518", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6687, \"b\": 7518}", "seed": "4283872657626506312", "semantic_fingerprint": "sha256:efa8251d53055e8b1dc2f748e593968d2ea0903b760aa488459fa24c20e82cca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003103", "prompt": "Solve the equation 20(x - 3120) = 19(x + 2874) for x.", "solution_steps": ["Expand: 20x - 62400 = 19(x + 2874)", "Expand: 20x - 62400 = 19x + 54606", "Subtract 19x from both sides: x - 62400 = 54606", "Add 62400 to both sides: x = 117006"], "final_answer": "117006", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 3120) = 19(x + 2874)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3120, \"c\": 19, \"d\": 2874}", "seed": "15481775340153414767", "semantic_fingerprint": "sha256:148d2bb2491b50a5ad4fa6c83a0e2c406b717c48f51b52445f1280bdd5165429", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003104", "prompt": "Solve for x: 13(x + 2404) = x + 30544", "solution_steps": ["Expand: 13x + 31252 = x + 30544", "Subtract x from both sides: 12x + 31252 = 30544", "Subtract 31252 from both sides: 12x = -708", "Divide both sides by 12: x = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 2404) = x + 30544", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2404, \"d\": 30544, \"x\": -59}", "seed": "4313524764172355770", "semantic_fingerprint": "sha256:763d151408b3abb475b3c7ba68638b903cd7b2121324f4a640a9af526436c8e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003105", "prompt": "Compute: -4197 * (66649 / (-51524 - (-1895)) - 7626)", "solution_steps": ["Subtract: -51524 - (-1895) = -49629", "Divide: 66649 / (-49629) = -66649/49629", "Subtract: -66649/49629 - 7626 = -378537403/49629", "Multiply: -4197 * (-378537403/49629) = 529573826797/16543"], "final_answer": "529573826797/16543", "answer_type": "rational", "kind": "expression", "math_text": "-4197 * (66649 / (-51524 - (-1895)) - 7626)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4197, \"b\": 66649, \"c\": -51524, \"d\": -1895, \"e\": 7626}", "seed": "11403772588536480316", "semantic_fingerprint": "sha256:eab47ff0ad8f7d0d3a09583e948eaf365ba8ac2f9b98e0bc3a976da653b5cc70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003106", "prompt": "Calculate: 80174 * (4075 / (-86432)) - (-6035)", "solution_steps": ["Divide: 4075 / (-86432) = -4075/86432", "Multiply: 80174 * (-4075/86432) = -163354525/43216", "Subtract: -163354525/43216 - (-6035) = 97454035/43216"], "final_answer": "97454035/43216", "answer_type": "rational", "kind": "expression", "math_text": "80174 * (4075 / (-86432)) - (-6035)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80174, \"b\": 4075, \"c\": -86432, \"d\": -6035}", "seed": "13317618336220838148", "semantic_fingerprint": "sha256:27c69fbd9a68d23c8a87c255555fb5842c244bcddc71931436f804037bb6fbf1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003107", "prompt": "Solve the equation 13x - 2034 = 19(x - 39103) - 54154 for x.", "solution_steps": ["Expand: 13x - 2034 = 19x - 742957 - 54154", "Combine constants: 13x - 2034 = 19x - 797111", "Subtract 19x from both sides: -6x - 2034 = -797111", "Add 2034 to both sides: -6x = -795077", "Divide both sides by -6: x = 795077/6"], "final_answer": "795077/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x - 2034 = 19(x - 39103) - 54154", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2034, \"c\": 19, \"d\": 39103, \"e\": 54154}", "seed": "343012850017391143", "semantic_fingerprint": "sha256:ee5443de5ed6ff8d80af490e802a4c4eda1b3f02c3706aa70a0b10407f3d9fab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003108", "prompt": "Evaluate: 3774 * (-9522) + (-8871)", "solution_steps": ["Multiply: 3774 * (-9522) = -35936028", "Add: -35936028 + (-8871) = -35944899"], "final_answer": "-35944899", "answer_type": "integer", "kind": "expression", "math_text": "3774 * (-9522) + (-8871)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3774, \"b\": -9522, \"c\": -8871}", "seed": "3122965370488632008", "semantic_fingerprint": "sha256:5ab0952fb6be2309b244399a87b1799dff4883ff6eef74bb53ea20e96eea1a8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003109", "prompt": "Calculate: -28936 / (-2628) + (76199 + 97413)", "solution_steps": ["Divide: -28936 / (-2628) = 7234/657", "Add: 76199 + 97413 = 173612", "Add: 7234/657 + 173612 = 114070318/657"], "final_answer": "114070318/657", "answer_type": "rational", "kind": "expression", "math_text": "-28936 / (-2628) + (76199 + 97413)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28936, \"b\": -2628, \"c\": 76199, \"d\": 97413}", "seed": "2267144746020577818", "semantic_fingerprint": "sha256:40f468c0fcc71ce2be87b584980e0ed603748de31c87892c44e116ee3ad78dbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003110", "prompt": "What is -9321 - (-99771) * 6132?", "solution_steps": ["Multiply: -99771 * 6132 = -611795772", "Subtract: -9321 - (-611795772) = 611786451"], "final_answer": "611786451", "answer_type": "integer", "kind": "expression", "math_text": "-9321 - (-99771) * 6132", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9321, \"b\": -99771, \"c\": 6132}", "seed": "4070162513263517071", "semantic_fingerprint": "sha256:f46b81375755b04541518f7d51bd5d65e334de4c1cd530349ba835167bbfc876", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003111", "prompt": "Find x: 32x = 2816", "solution_steps": ["Divide both sides by 32: x = 88"], "final_answer": "88", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = 2816", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": 2816, \"x\": 88}", "seed": "12778672010015895979", "semantic_fingerprint": "sha256:80611963428f7adbfaea9fb344f6dd893c2852d198ff203120f39e707fbb5c30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003112", "prompt": "Evaluate: -3842 * (-17331)", "solution_steps": ["Multiply: -3842 * (-17331) = 66585702"], "final_answer": "66585702", "answer_type": "integer", "kind": "expression", "math_text": "-3842 * (-17331)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3842, \"b\": -17331}", "seed": "9957879098479378708", "semantic_fingerprint": "sha256:8ffc610f4bc494e0bd1a6ccb9d72aea778c71da23e8fc439673fe7f720c889d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003113", "prompt": "What is 2069 / 83872 + 63120?", "solution_steps": ["Divide: 2069 / 83872 = 2069/83872", "Add: 2069/83872 + 63120 = 5294002709/83872"], "final_answer": "5294002709/83872", "answer_type": "rational", "kind": "expression", "math_text": "2069 / 83872 + 63120", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2069, \"b\": 83872, \"c\": 63120}", "seed": "7914448098834490275", "semantic_fingerprint": "sha256:79755e79847119f54a71f76bdfb6131ae1f534b4ad3a6cd1142b885fcc19456a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003114", "prompt": "What value of x satisfies 38(x + 9954) + 37140 = 36(x - 86762) - 77269?", "solution_steps": ["Expand: 38x + 378252 + 37140 = 36(x - 86762) - 77269", "Expand: 38x + 378252 + 37140 = 36x - 3123432 - 77269", "Combine constants: 38x + 415392 = 36x - 3123432 - 77269", "Combine constants: 38x + 415392 = 36x - 3200701", "Subtract 36x from both sides: 2x + 415392 = -3200701", "Subtract 415392 from both sides: 2x = -3616093", "Divide both sides by 2: x = -3616093/2"], "final_answer": "-3616093/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 9954) + 37140 = 36(x - 86762) - 77269", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9954, \"c\": 37140, \"d\": 36, \"e\": 86762, \"f\": 77269}", "seed": "774379643468535034", "semantic_fingerprint": "sha256:890c4aaf64a2b499c56055dc36799d9faf056882deb4248aa0d3948bf4fd9b84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003115", "prompt": "Solve for x: -25(x - 8678) - 27953 = 23x + 9552", "solution_steps": ["Expand: -25x + 216950 - 27953 = 23x + 9552", "Combine constants: -25x + 188997 = 23x + 9552", "Subtract 23x from both sides: -48x + 188997 = 9552", "Subtract 188997 from both sides: -48x = -179445", "Divide both sides by -48: x = 59815/16"], "final_answer": "59815/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 8678) - 27953 = 23x + 9552", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 8678, \"c\": 27953, \"d\": 23, \"e\": 9552}", "seed": "10238809590092009505", "semantic_fingerprint": "sha256:fc63ab217d444c7e5ef5bd655cd88e85fd175bf806cda2f6271f01ae8a4b86e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003116", "prompt": "What value of x satisfies -32(x - 1033) = 35296?", "solution_steps": ["Expand: -32x + 33056 = 35296", "Subtract 33056 from both sides: -32x = 2240", "Divide both sides by -32: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32(x - 1033) = 35296", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 1033, \"d\": 35296, \"x\": -70}", "seed": "10899760399791662127", "semantic_fingerprint": "sha256:b727b9d25d9b8ca4ee30dc149900d2f960c85baa4c5f7b707b5d677398fc894b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003117", "prompt": "Solve the equation x = 40x - 5733 for x.", "solution_steps": ["Subtract 40x from both sides: -39x = -5733", "Divide both sides by -39: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 40x - 5733", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -5733, \"x\": 147}", "seed": "14115116637612281331", "semantic_fingerprint": "sha256:181c96b5829be26dd5fc285601d856e776d9d028b7e6ab1d0a60d3c24915d24a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003118", "prompt": "Solve for x: 25(x + 20044) = x + 6364", "solution_steps": ["Expand: 25x + 501100 = x + 6364", "Subtract x from both sides: 24x + 501100 = 6364", "Subtract 501100 from both sides: 24x = -494736", "Divide both sides by 24: x = -20614"], "final_answer": "-20614", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 20044) = x + 6364", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 20044, \"c\": 6364}", "seed": "2465046675549352946", "semantic_fingerprint": "sha256:bf456e44e76b28fbdeef010b7076aaaac47611046edfb54d07bd02f1513554ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003119", "prompt": "Evaluate: -2762 + (-9853)", "solution_steps": ["Add: -2762 + (-9853) = -12615"], "final_answer": "-12615", "answer_type": "integer", "kind": "expression", "math_text": "-2762 + (-9853)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2762, \"b\": -9853}", "seed": "14423509802199828859", "semantic_fingerprint": "sha256:1675644588405ccd9fe604748586292b63110f96b4ad862dc6498c34c92d5472", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003120", "prompt": "Solve the equation x - 7606 = 25(x - 50504) for x.", "solution_steps": ["Expand: x - 7606 = 25x - 1262600", "Subtract 25x from both sides: -24x - 7606 = -1262600", "Add 7606 to both sides: -24x = -1254994", "Divide both sides by -24: x = 627497/12"], "final_answer": "627497/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7606 = 25(x - 50504)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7606, \"b\": 25, \"c\": 50504}", "seed": "2552077803614812682", "semantic_fingerprint": "sha256:4487907476d47d328b567a0ad01294bf092312818673f69d0024d59ffdbaa7a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003121", "prompt": "What is 5590 / 9087?", "solution_steps": ["Divide: 5590 / 9087 = 430/699"], "final_answer": "430/699", "answer_type": "rational", "kind": "expression", "math_text": "5590 / 9087", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5590, \"b\": 9087}", "seed": "3206361658263116084", "semantic_fingerprint": "sha256:3dce293d7532517b5c7d12d5a8bdae97cc41f43a1c989bb9a3bb086cb50e4213", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003122", "prompt": "Solve for x: 13(x - 33625) = x", "solution_steps": ["Expand: 13x - 437125 = x", "Subtract x from both sides: 12x - 437125 = 0", "Add 437125 to both sides: 12x = 437125", "Divide both sides by 12: x = 437125/12"], "final_answer": "437125/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 33625) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 33625}", "seed": "2867465411768685915", "semantic_fingerprint": "sha256:fbb86313579ad672b974eb083e7c6e1428763084fb3f07290dba8ecdd5632bd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003123", "prompt": "Find x: 33x = 29(x - 6505)", "solution_steps": ["Expand: 33x = 29x - 188645", "Subtract 29x from both sides: 4x = -188645", "Divide both sides by 4: x = -188645/4"], "final_answer": "-188645/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x = 29(x - 6505)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 29, \"c\": 6505}", "seed": "9481288809980126593", "semantic_fingerprint": "sha256:353311e5536f0a5c33acd10e96a5b8e4b9154e977eca8c798e33e4f36023bcd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003124", "prompt": "Compute: 30305 + 23287", "solution_steps": ["Add: 30305 + 23287 = 53592"], "final_answer": "53592", "answer_type": "integer", "kind": "expression", "math_text": "30305 + 23287", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 30305, \"b\": 23287}", "seed": "6118192103448858194", "semantic_fingerprint": "sha256:cf5033c45f7f8dd3586b6203a719303981c398b883ea0d2b794a2c5355c2293b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003125", "prompt": "Compute: -7977 + (-6261) - (-7708)", "solution_steps": ["Add: -7977 + (-6261) = -14238", "Subtract: -14238 - (-7708) = -6530"], "final_answer": "-6530", "answer_type": "integer", "kind": "expression", "math_text": "-7977 + (-6261) - (-7708)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7977, \"b\": -6261, \"c\": -7708}", "seed": "1073172192454342752", "semantic_fingerprint": "sha256:7732ffdf5c86ef69cef94f1d74cd0bcab2f526dfca522bc910b5a5a6d92e299b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003126", "prompt": "Compute: 3629 - (-4339 - (-9332)) - (-3817)", "solution_steps": ["Subtract: -4339 - (-9332) = 4993", "Subtract: 3629 - 4993 = -1364", "Subtract: -1364 - (-3817) = 2453"], "final_answer": "2453", "answer_type": "integer", "kind": "expression", "math_text": "3629 - (-4339 - (-9332)) - (-3817)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3629, \"b\": -4339, \"c\": -9332, \"d\": -3817}", "seed": "11798676360245433813", "semantic_fingerprint": "sha256:ea8ae055aa9850cc1f8f58c2acb979bc82713e37cf2b567744143712e875ccb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003127", "prompt": "What is -3040 - (3985 + (-29061 + (-4976)))?", "solution_steps": ["Add: -29061 + (-4976) = -34037", "Add: 3985 + (-34037) = -30052", "Subtract: -3040 - (-30052) = 27012"], "final_answer": "27012", "answer_type": "integer", "kind": "expression", "math_text": "-3040 - (3985 + (-29061 + (-4976)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3040, \"b\": 3985, \"c\": -29061, \"d\": -4976}", "seed": "3682496903024507981", "semantic_fingerprint": "sha256:444c4b313760cbe62f65f15e69a2021284469f7bb632edacfffa836896f5ab19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003128", "prompt": "Calculate: -43630 - 3382 / (-4461) * (-3587 * 8419)", "solution_steps": ["Divide: 3382 / (-4461) = -3382/4461", "Multiply: -3587 * 8419 = -30198953", "Multiply: (-3382/4461) * (-30198953) = 102132859046/4461", "Subtract: -43630 - 102132859046/4461 = -102327492476/4461"], "final_answer": "-102327492476/4461", "answer_type": "rational", "kind": "expression", "math_text": "-43630 - 3382 / (-4461) * (-3587 * 8419)", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -43630, \"b\": 3382, \"c\": -4461, \"d\": -3587, \"e\": 8419}", "seed": "16780195047514937513", "semantic_fingerprint": "sha256:04de1155025b2a919109664d9717837f1c82923675135911cb8acfe9acf8c766", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003129", "prompt": "Solve the equation x + 9668 = -28x + 13235 for x.", "solution_steps": ["Add 28x to both sides: 29x + 9668 = 13235", "Subtract 9668 from both sides: 29x = 3567", "Divide both sides by 29: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9668 = -28x + 13235", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9668, \"b\": -28, \"d\": 13235, \"x\": 123}", "seed": "16374374494026686823", "semantic_fingerprint": "sha256:b710ad6d61dfbc40e5cd09fc9481154bef3310682b67aea5fd955d2b776db5dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003130", "prompt": "Find x: 16(x - 39748) - 5425 = 15(x + 4222) - 6400", "solution_steps": ["Expand: 16x - 635968 - 5425 = 15(x + 4222) - 6400", "Expand: 16x - 635968 - 5425 = 15x + 63330 - 6400", "Combine constants: 16x - 641393 = 15x + 63330 - 6400", "Combine constants: 16x - 641393 = 15x + 56930", "Subtract 15x from both sides: x - 641393 = 56930", "Add 641393 to both sides: x = 698323"], "final_answer": "698323", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 39748) - 5425 = 15(x + 4222) - 6400", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 39748, \"c\": 5425, \"d\": 15, \"e\": 4222, \"f\": 6400}", "seed": "2338031555218244148", "semantic_fingerprint": "sha256:1fd7d6b7166a6f693bdc6933e0ae7d305b2c88c8bd3206356bcca2b973397441", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003131", "prompt": "Calculate: -9120 + (-41323) * (-8214)", "solution_steps": ["Multiply: -41323 * (-8214) = 339427122", "Add: -9120 + 339427122 = 339418002"], "final_answer": "339418002", "answer_type": "integer", "kind": "expression", "math_text": "-9120 + (-41323) * (-8214)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9120, \"b\": -41323, \"c\": -8214}", "seed": "5146165219065994903", "semantic_fingerprint": "sha256:a1d335b022958bb2deac863ea190bfd51e3bcdedea7495eb50dd1fb9118268e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003132", "prompt": "Compute: 2673 * 31902 / (-1016 - 4350)", "solution_steps": ["Multiply: 2673 * 31902 = 85274046", "Subtract: -1016 - 4350 = -5366", "Divide: 85274046 / (-5366) = -42637023/2683"], "final_answer": "-42637023/2683", "answer_type": "rational", "kind": "expression", "math_text": "2673 * 31902 / (-1016 - 4350)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2673, \"b\": 31902, \"c\": -1016, \"d\": 4350}", "seed": "8622625858199994620", "semantic_fingerprint": "sha256:92f0ae5ef5f8d6f1c10b2a1b5b1e3bd8839b97f8edfa7292f5d205c994f6e32b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003133", "prompt": "Calculate: (5070 - 9239 - (-2072 - (-9063))) * (8280 / (-28774))", "solution_steps": ["Subtract: 5070 - 9239 = -4169", "Subtract: -2072 - (-9063) = 6991", "Subtract: -4169 - 6991 = -11160", "Divide: 8280 / (-28774) = -4140/14387", "Multiply: -11160 * (-4140/14387) = 46202400/14387"], "final_answer": "46202400/14387", "answer_type": "rational", "kind": "expression", "math_text": "(5070 - 9239 - (-2072 - (-9063))) * (8280 / (-28774))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5070, \"b\": 9239, \"c\": -2072, \"d\": -9063, \"e\": 8280, \"f\": -28774}", "seed": "14923173420238220396", "semantic_fingerprint": "sha256:fca8847b4ec4ed8280dd5ef1aab3166d825b01515cb40e8ecc01e3fd3558a5a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003134", "prompt": "Solve the equation 15x - 4327 = -1597 for x.", "solution_steps": ["Add 4327 to both sides: 15x = 2730", "Divide both sides by 15: x = 182"], "final_answer": "182", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 4327 = -1597", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4327, \"d\": -1597, \"x\": 182}", "seed": "1088040287127577475", "semantic_fingerprint": "sha256:48ae6fe83544e55a0c032f71ad24049b70be9300f74366dbaeb0d9cdc0857aa8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003135", "prompt": "What value of x satisfies 37x - 2753 = 24(x + 1907)?", "solution_steps": ["Expand: 37x - 2753 = 24x + 45768", "Subtract 24x from both sides: 13x - 2753 = 45768", "Add 2753 to both sides: 13x = 48521", "Divide both sides by 13: x = 48521/13"], "final_answer": "48521/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x - 2753 = 24(x + 1907)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2753, \"c\": 24, \"d\": 1907}", "seed": "11724626390410335747", "semantic_fingerprint": "sha256:4a5ca2a30b4ed5dba2844dca61054bb4ea37d73fc5bd7a901a1039bdd3a5acd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003136", "prompt": "What value of x satisfies 38x - 3181 = -9748?", "solution_steps": ["Add 3181 to both sides: 38x = -6567", "Divide both sides by 38: x = -6567/38"], "final_answer": "-6567/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x - 3181 = -9748", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 3181, \"c\": -9748}", "seed": "17235627824487049581", "semantic_fingerprint": "sha256:627026b75121bc9ea80c9ebf4076eebe0be386137b4c858ba34b461b5eeffd6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003137", "prompt": "Compute: -51865 - 15905 + (90803 - 5551) * (5162 - 9112)", "solution_steps": ["Subtract: -51865 - 15905 = -67770", "Subtract: 90803 - 5551 = 85252", "Subtract: 5162 - 9112 = -3950", "Multiply: 85252 * (-3950) = -336745400", "Add: -67770 + (-336745400) = -336813170"], "final_answer": "-336813170", "answer_type": "integer", "kind": "expression", "math_text": "-51865 - 15905 + (90803 - 5551) * (5162 - 9112)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -51865, \"b\": 15905, \"c\": 90803, \"d\": 5551, \"e\": 5162, \"f\": 9112}", "seed": "7647641453952523025", "semantic_fingerprint": "sha256:19e4dee34aea95da2229915c1d2169814e58bbeaa711ba65f69058fd825ab781", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003138", "prompt": "What is -9148 / (-83053) * (-5155)?", "solution_steps": ["Divide: -9148 / (-83053) = 9148/83053", "Multiply: (9148/83053) * (-5155) = -47157940/83053"], "final_answer": "-47157940/83053", "answer_type": "rational", "kind": "expression", "math_text": "-9148 / (-83053) * (-5155)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9148, \"b\": -83053, \"c\": -5155}", "seed": "9377452084534995728", "semantic_fingerprint": "sha256:f2ca1fd625c36c0ccdf00105a71997c340dffb5ef4cf4358bd4834aecc44bdd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003139", "prompt": "What is -23127 / 4659 + 8154 * 5095?", "solution_steps": ["Divide: -23127 / 4659 = -7709/1553", "Multiply: 8154 * 5095 = 41544630", "Add: -7709/1553 + 41544630 = 64518802681/1553"], "final_answer": "64518802681/1553", "answer_type": "rational", "kind": "expression", "math_text": "-23127 / 4659 + 8154 * 5095", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23127, \"b\": 4659, \"c\": 8154, \"d\": 5095}", "seed": "18068333634942475097", "semantic_fingerprint": "sha256:92ae8467a3bb241e82342561a9cc746d4fe019f7bae55e3c588cf810a9d78938", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003140", "prompt": "Evaluate: (-7295 + 3849) * (-5851)", "solution_steps": ["Add: -7295 + 3849 = -3446", "Multiply: -3446 * (-5851) = 20162546"], "final_answer": "20162546", "answer_type": "integer", "kind": "expression", "math_text": "(-7295 + 3849) * (-5851)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7295, \"b\": 3849, \"c\": -5851}", "seed": "13652595145351290420", "semantic_fingerprint": "sha256:9dcc699990fcf36128c4ffa4bf65c9ccfe14bc7f33f1ade412a5e03a256ded4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003141", "prompt": "Solve for x: 37(x - 93023) - 3099 = -36x - 3681", "solution_steps": ["Expand: 37x - 3441851 - 3099 = -36x - 3681", "Combine constants: 37x - 3444950 = -36x - 3681", "Add 36x to both sides: 73x - 3444950 = -3681", "Add 3444950 to both sides: 73x = 3441269", "Divide both sides by 73: x = 3441269/73"], "final_answer": "3441269/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 93023) - 3099 = -36x - 3681", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 93023, \"c\": 3099, \"d\": -36, \"e\": 3681}", "seed": "341166107659790725", "semantic_fingerprint": "sha256:cef414d272b9ecd1b4ec0763f027a879753c1a4f44cf3b05c9dd76dd88a2107b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003142", "prompt": "Find x: 30x + 79974 = x", "solution_steps": ["Subtract x from both sides: 29x + 79974 = 0", "Subtract 79974 from both sides: 29x = -79974", "Divide both sides by 29: x = -79974/29"], "final_answer": "-79974/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x + 79974 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 79974}", "seed": "14839252952085942664", "semantic_fingerprint": "sha256:89b92b9667d0424dda78ea95bac6f5af130c1cbc7961abf4b413071ee3750666", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003143", "prompt": "Evaluate: -58694 - (-13235) - (-46612 + 54693)", "solution_steps": ["Subtract: -58694 - (-13235) = -45459", "Add: -46612 + 54693 = 8081", "Subtract: -45459 - 8081 = -53540"], "final_answer": "-53540", "answer_type": "integer", "kind": "expression", "math_text": "-58694 - (-13235) - (-46612 + 54693)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -58694, \"b\": -13235, \"c\": -46612, \"d\": 54693}", "seed": "6315986231584074842", "semantic_fingerprint": "sha256:860023bb07ac43c1767c6fb162a7110640b1c4f8a95126eca8845e78fc6afa88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003144", "prompt": "What is 7850 / (-69330)?", "solution_steps": ["Divide: 7850 / (-69330) = -785/6933"], "final_answer": "-785/6933", "answer_type": "rational", "kind": "expression", "math_text": "7850 / (-69330)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7850, \"b\": -69330}", "seed": "14143062572905160927", "semantic_fingerprint": "sha256:27fdc783111d3018a8124ea899d5711161c06706d89e7487698fac269545fe86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003145", "prompt": "Compute: -2925 / (-3889)", "solution_steps": ["Divide: -2925 / (-3889) = 2925/3889"], "final_answer": "2925/3889", "answer_type": "rational", "kind": "expression", "math_text": "-2925 / (-3889)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2925, \"b\": -3889}", "seed": "5852943351207103563", "semantic_fingerprint": "sha256:22677f4ee7b8c7904819ee25bc3d68befed98fe67f4429274840f572969b1943", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003146", "prompt": "Compute: -77494 * 7097 / 6682", "solution_steps": ["Multiply: -77494 * 7097 = -549974918", "Divide: -549974918 / 6682 = -274987459/3341"], "final_answer": "-274987459/3341", "answer_type": "rational", "kind": "expression", "math_text": "-77494 * 7097 / 6682", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77494, \"b\": 7097, \"c\": 6682}", "seed": "4210868667762876888", "semantic_fingerprint": "sha256:44444baae19faecd18b2797fac3d9c3569cbf77a622d2709a528667c1ce9f141", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003147", "prompt": "Evaluate: -79743 / (-7370)", "solution_steps": ["Divide: -79743 / (-7370) = 79743/7370"], "final_answer": "79743/7370", "answer_type": "rational", "kind": "expression", "math_text": "-79743 / (-7370)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79743, \"b\": -7370}", "seed": "11805663643786583727", "semantic_fingerprint": "sha256:906842af317f0be82c9fd56a0a96df769404677822b7edd20d0e65e31df6e1f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003148", "prompt": "Solve the equation 34(x + 6382) - 3882 = 28x + 73637 for x.", "solution_steps": ["Expand: 34x + 216988 - 3882 = 28x + 73637", "Combine constants: 34x + 213106 = 28x + 73637", "Subtract 28x from both sides: 6x + 213106 = 73637", "Subtract 213106 from both sides: 6x = -139469", "Divide both sides by 6: x = -139469/6"], "final_answer": "-139469/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 6382) - 3882 = 28x + 73637", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6382, \"c\": 3882, \"d\": 28, \"e\": 73637}", "seed": "17440932960939699838", "semantic_fingerprint": "sha256:6998a124667e064951df6077bcedcce66fe26e80e003998782f23d102feb7c67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003149", "prompt": "Compute: -1694 + (-67527 - (-8292) / (-34810))", "solution_steps": ["Divide: -8292 / (-34810) = 4146/17405", "Subtract: -67527 - 4146/17405 = -1175311581/17405", "Add: -1694 + (-1175311581/17405) = -1204795651/17405"], "final_answer": "-1204795651/17405", "answer_type": "rational", "kind": "expression", "math_text": "-1694 + (-67527 - (-8292) / (-34810))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1694, \"b\": -67527, \"c\": -8292, \"d\": -34810}", "seed": "10105884501943232884", "semantic_fingerprint": "sha256:8bff147cca31f8f5d258d01fef34379716e4ffe5be7a04e9e4938b1aac26909f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003150", "prompt": "Solve the equation -36x - 3838 = 30(x - 46855) - 8453 for x.", "solution_steps": ["Expand: -36x - 3838 = 30x - 1405650 - 8453", "Combine constants: -36x - 3838 = 30x - 1414103", "Subtract 30x from both sides: -66x - 3838 = -1414103", "Add 3838 to both sides: -66x = -1410265", "Divide both sides by -66: x = 1410265/66"], "final_answer": "1410265/66", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x - 3838 = 30(x - 46855) - 8453", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 3838, \"c\": 30, \"d\": 46855, \"e\": 8453}", "seed": "818602274040258009", "semantic_fingerprint": "sha256:ef75b6275b02f32134549020cb3a179bf96c3fd22d629d2403eb812047da8689", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003151", "prompt": "Calculate: 3966 + (3052 + 3787) + 2115 / 36415", "solution_steps": ["Add: 3052 + 3787 = 6839", "Add: 3966 + 6839 = 10805", "Divide: 2115 / 36415 = 423/7283", "Add: 10805 + 423/7283 = 78693238/7283"], "final_answer": "78693238/7283", "answer_type": "rational", "kind": "expression", "math_text": "3966 + (3052 + 3787) + 2115 / 36415", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3966, \"b\": 3052, \"c\": 3787, \"d\": 2115, \"e\": 36415}", "seed": "9880849273457907417", "semantic_fingerprint": "sha256:3a33a718a4ca96da14d97d24da94b0ffdcf5caed1446bdb27a867d64f3f9141e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003152", "prompt": "What is 1206 * 5740?", "solution_steps": ["Multiply: 1206 * 5740 = 6922440"], "final_answer": "6922440", "answer_type": "integer", "kind": "expression", "math_text": "1206 * 5740", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1206, \"b\": 5740}", "seed": "10169534720822292393", "semantic_fingerprint": "sha256:f2409c2fbf025a43d3e7709a00fbb6336ccf10f07264ade16b447b535733a7dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003153", "prompt": "Compute: -48904 - (-47119 + 88921)", "solution_steps": ["Add: -47119 + 88921 = 41802", "Subtract: -48904 - 41802 = -90706"], "final_answer": "-90706", "answer_type": "integer", "kind": "expression", "math_text": "-48904 - (-47119 + 88921)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48904, \"b\": -47119, \"c\": 88921}", "seed": "15670609472766343476", "semantic_fingerprint": "sha256:184dba3586050847838713ca983810a6c9bdb2221ea3b671477d7bb3e1b446c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003154", "prompt": "What value of x satisfies -19(x + 3631) - 7831 = x?", "solution_steps": ["Expand: -19x - 68989 - 7831 = x", "Combine constants: -19x - 76820 = x", "Subtract x from both sides: -20x - 76820 = 0", "Add 76820 to both sides: -20x = 76820", "Divide both sides by -20: x = -3841"], "final_answer": "-3841", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x + 3631) - 7831 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 3631, \"c\": 7831}", "seed": "10637836100159457048", "semantic_fingerprint": "sha256:ca5671abd7fc6172090ec7f5473c6391a9fb51e4cf32b4a9c6187281bbb940c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003155", "prompt": "What value of x satisfies -33(x - 97313) = -27(x + 22141)?", "solution_steps": ["Expand: -33x + 3211329 = -27(x + 22141)", "Expand: -33x + 3211329 = -27x - 597807", "Add 27x to both sides: -6x + 3211329 = -597807", "Subtract 3211329 from both sides: -6x = -3809136", "Divide both sides by -6: x = 634856"], "final_answer": "634856", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33(x - 97313) = -27(x + 22141)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 97313, \"c\": -27, \"d\": 22141}", "seed": "10145877446919454238", "semantic_fingerprint": "sha256:8d70f1415fae469a4a8c49d184d556d14a68d634767423a204bd216e4a9c72a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003156", "prompt": "Evaluate: 4409 * (-29368)", "solution_steps": ["Multiply: 4409 * (-29368) = -129483512"], "final_answer": "-129483512", "answer_type": "integer", "kind": "expression", "math_text": "4409 * (-29368)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4409, \"b\": -29368}", "seed": "8660478554723516059", "semantic_fingerprint": "sha256:30ab1214ff5a6dd194405263f2bffe23d04f0aa1a7ec57660e0fea9c2c13e598", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003157", "prompt": "Compute: -9057 * (2974 / (-5795))", "solution_steps": ["Divide: 2974 / (-5795) = -2974/5795", "Multiply: -9057 * (-2974/5795) = 26935518/5795"], "final_answer": "26935518/5795", "answer_type": "rational", "kind": "expression", "math_text": "-9057 * (2974 / (-5795))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9057, \"b\": 2974, \"c\": -5795}", "seed": "11639487904190694588", "semantic_fingerprint": "sha256:0551f2ebb5fc878043268fd024ce056240a49c1839627b6e07a26b4012facc11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003158", "prompt": "Calculate: -38906 + (-7399 - 5071)", "solution_steps": ["Subtract: -7399 - 5071 = -12470", "Add: -38906 + (-12470) = -51376"], "final_answer": "-51376", "answer_type": "integer", "kind": "expression", "math_text": "-38906 + (-7399 - 5071)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38906, \"b\": -7399, \"c\": 5071}", "seed": "1629141754378376987", "semantic_fingerprint": "sha256:c0245aa2a37e1fd1f8aad688da0591b6d49fa66f989d939221276454cee9e305", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003159", "prompt": "Solve for x: 22x = x - 2095", "solution_steps": ["Subtract x from both sides: 21x = -2095", "Divide both sides by 21: x = -2095/21"], "final_answer": "-2095/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x = x - 2095", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2095}", "seed": "4297583610947400766", "semantic_fingerprint": "sha256:6a37aa63b795521939014d35831f4ddd7e6a59431fa986326349ee3910045257", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003160", "prompt": "Evaluate: 9671 / (-65182) - 1206", "solution_steps": ["Divide: 9671 / (-65182) = -9671/65182", "Subtract: -9671/65182 - 1206 = -78619163/65182"], "final_answer": "-78619163/65182", "answer_type": "rational", "kind": "expression", "math_text": "9671 / (-65182) - 1206", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9671, \"b\": -65182, \"c\": 1206}", "seed": "3854268402828809427", "semantic_fingerprint": "sha256:64378ad59fbf6dd229497342b032cb588681022ccb5b44b4c28ffecf2546ad15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003161", "prompt": "What is 68800 - (-56830) + (-74006 + (-94972))?", "solution_steps": ["Subtract: 68800 - (-56830) = 125630", "Add: -74006 + (-94972) = -168978", "Add: 125630 + (-168978) = -43348"], "final_answer": "-43348", "answer_type": "integer", "kind": "expression", "math_text": "68800 - (-56830) + (-74006 + (-94972))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68800, \"b\": -56830, \"c\": -74006, \"d\": -94972}", "seed": "12899565932940437159", "semantic_fingerprint": "sha256:f4bf4b892ba75d0dd24a50a60d180d11dfbbbdd63842c2ea605e73f772e72725", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003162", "prompt": "Compute: -7843 + (-5688) / (-3142) + 9194", "solution_steps": ["Divide: -5688 / (-3142) = 2844/1571", "Add: -7843 + 2844/1571 = -12318509/1571", "Add: -12318509/1571 + 9194 = 2125265/1571"], "final_answer": "2125265/1571", "answer_type": "rational", "kind": "expression", "math_text": "-7843 + (-5688) / (-3142) + 9194", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7843, \"b\": -5688, \"c\": -3142, \"d\": 9194}", "seed": "17234480025132940733", "semantic_fingerprint": "sha256:d88ac84f3bbed34c94069f015fd9406b56ecee1cee07ea1854274c9cc0188585", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003163", "prompt": "What is 9392 - 7718?", "solution_steps": ["Subtract: 9392 - 7718 = 1674"], "final_answer": "1674", "answer_type": "integer", "kind": "expression", "math_text": "9392 - 7718", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9392, \"b\": 7718}", "seed": "9110441555387199442", "semantic_fingerprint": "sha256:bc3da5f4f2e99ffdc2a5f6b8e27111d41ef57b28bcb9b8c68afb1e5714e5e468", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003164", "prompt": "Compute: -32494 * (-1123 - 8686)", "solution_steps": ["Subtract: -1123 - 8686 = -9809", "Multiply: -32494 * (-9809) = 318733646"], "final_answer": "318733646", "answer_type": "integer", "kind": "expression", "math_text": "-32494 * (-1123 - 8686)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32494, \"b\": -1123, \"c\": 8686}", "seed": "9500968497311436540", "semantic_fingerprint": "sha256:b42f460a51d528c4066641cc9b97fe467d8f903fc09949af1629dd3728cfa0f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003165", "prompt": "What is -12637 + 86117 - (-32582)?", "solution_steps": ["Add: -12637 + 86117 = 73480", "Subtract: 73480 - (-32582) = 106062"], "final_answer": "106062", "answer_type": "integer", "kind": "expression", "math_text": "-12637 + 86117 - (-32582)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12637, \"b\": 86117, \"c\": -32582}", "seed": "9825035342677522751", "semantic_fingerprint": "sha256:252fa2444569031d8e3ec2c9b7cadb12cc28b7139e8e3fc13e4b0b6266271075", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003166", "prompt": "Compute: 66335 + 65146 - ((-15413 + (-27581)) / 21498 - 94682)", "solution_steps": ["Add: 66335 + 65146 = 131481", "Add: -15413 + (-27581) = -42994", "Divide: -42994 / 21498 = -21497/10749", "Subtract: -21497/10749 - 94682 = -1017758315/10749", "Subtract: 131481 - (-1017758315/10749) = 2431047584/10749"], "final_answer": "2431047584/10749", "answer_type": "rational", "kind": "expression", "math_text": "66335 + 65146 - ((-15413 + (-27581)) / 21498 - 94682)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (/ (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 66335, \"b\": 65146, \"c\": -15413, \"d\": -27581, \"e\": 21498, \"f\": 94682}", "seed": "4075204400425132498", "semantic_fingerprint": "sha256:fde62e30c0d804202273a1358f73a19ef74725f009e65350184ee0ffde68252b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003167", "prompt": "Evaluate: -46982 - (-76759)", "solution_steps": ["Subtract: -46982 - (-76759) = 29777"], "final_answer": "29777", "answer_type": "integer", "kind": "expression", "math_text": "-46982 - (-76759)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -46982, \"b\": -76759}", "seed": "6707620311038941796", "semantic_fingerprint": "sha256:c0a23c9f6982e55701638e5545801a90f960b140915fbfc19bedb7c1f5057ac5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003168", "prompt": "Solve for x: x + 2198 = 36(x + 7117) - 8314", "solution_steps": ["Expand: x + 2198 = 36x + 256212 - 8314", "Combine constants: x + 2198 = 36x + 247898", "Subtract 36x from both sides: -35x + 2198 = 247898", "Subtract 2198 from both sides: -35x = 245700", "Divide both sides by -35: x = -7020"], "final_answer": "-7020", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2198 = 36(x + 7117) - 8314", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2198, \"b\": 36, \"c\": 7117, \"d\": 8314}", "seed": "16123298599301160874", "semantic_fingerprint": "sha256:d1da9d5120ae52f0c1f0d0b8c52da5d5fb920e732256b974e7fb8e15f99e80e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003169", "prompt": "Solve the equation x + 2272 = 2334 for x.", "solution_steps": ["Subtract 2272 from both sides: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2272 = 2334", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2272, \"c\": 2334, \"x\": 62}", "seed": "8305007776057785942", "semantic_fingerprint": "sha256:ddcb2ece9062a78e2660f4e6e691dfee854a40c79d55dae9d6e742b9df2eee4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003170", "prompt": "Calculate: 3249 + (-8243) / (-9782)", "solution_steps": ["Divide: -8243 / (-9782) = 8243/9782", "Add: 3249 + 8243/9782 = 31789961/9782"], "final_answer": "31789961/9782", "answer_type": "rational", "kind": "expression", "math_text": "3249 + (-8243) / (-9782)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3249, \"b\": -8243, \"c\": -9782}", "seed": "2456920438545035138", "semantic_fingerprint": "sha256:1df8f25617ac7c19ef0e58b832211123330b867a73cff2a79e6d26c852001cbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003171", "prompt": "Compute: 76770 / (4218 + (-8819))", "solution_steps": ["Add: 4218 + (-8819) = -4601", "Divide: 76770 / (-4601) = -76770/4601"], "final_answer": "-76770/4601", "answer_type": "rational", "kind": "expression", "math_text": "76770 / (4218 + (-8819))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 76770, \"b\": 4218, \"c\": -8819}", "seed": "11599660566971535911", "semantic_fingerprint": "sha256:2f43b88e8c0c1f9c2c81617ec7d5123206a70ff697646929e49babed36cea979", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003172", "prompt": "Evaluate: (-9268 - (-6060) - (4516 + 13175)) / 5267", "solution_steps": ["Subtract: -9268 - (-6060) = -3208", "Add: 4516 + 13175 = 17691", "Subtract: -3208 - 17691 = -20899", "Divide: -20899 / 5267 = -20899/5267"], "final_answer": "-20899/5267", "answer_type": "rational", "kind": "expression", "math_text": "(-9268 - (-6060) - (4516 + 13175)) / 5267", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9268, \"b\": -6060, \"c\": 4516, \"d\": 13175, \"e\": 5267}", "seed": "13305592154415129478", "semantic_fingerprint": "sha256:74a65046fb9b8153e96cce1f5a9bbd00ab6599c9446821edcdfac4a4012683d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003173", "prompt": "What is -64044 + (-5494 - (-76039) - (-21694)) * 7434?", "solution_steps": ["Subtract: -5494 - (-76039) = 70545", "Subtract: 70545 - (-21694) = 92239", "Multiply: 92239 * 7434 = 685704726", "Add: -64044 + 685704726 = 685640682"], "final_answer": "685640682", "answer_type": "integer", "kind": "expression", "math_text": "-64044 + (-5494 - (-76039) - (-21694)) * 7434", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -64044, \"b\": -5494, \"c\": -76039, \"d\": -21694, \"e\": 7434}", "seed": "17300074044862408005", "semantic_fingerprint": "sha256:376bbfcc3fff968de7c49599aa08c7e0852562b8b29617579db4778b8535920e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003174", "prompt": "Find x: 21x - 76293 = -37(x + 3814)", "solution_steps": ["Expand: 21x - 76293 = -37x - 141118", "Add 37x to both sides: 58x - 76293 = -141118", "Add 76293 to both sides: 58x = -64825", "Divide both sides by 58: x = -64825/58"], "final_answer": "-64825/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x - 76293 = -37(x + 3814)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 76293, \"c\": -37, \"d\": 3814}", "seed": "3838287914308379206", "semantic_fingerprint": "sha256:8f0d4caf65c5223ebc053cfecd19f27b58f32cb86c1c0dfcb515063bb880a487", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003175", "prompt": "Evaluate: -9971 / (-7143) - (-15950)", "solution_steps": ["Divide: -9971 / (-7143) = 9971/7143", "Subtract: 9971/7143 - (-15950) = 113940821/7143"], "final_answer": "113940821/7143", "answer_type": "rational", "kind": "expression", "math_text": "-9971 / (-7143) - (-15950)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9971, \"b\": -7143, \"c\": -15950}", "seed": "3094710889720304398", "semantic_fingerprint": "sha256:8d5c5cb6de781856b6a15d49f19d312594e13382d9bdd1196c79faec274f4482", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003176", "prompt": "Calculate: 43514 * 9671", "solution_steps": ["Multiply: 43514 * 9671 = 420823894"], "final_answer": "420823894", "answer_type": "integer", "kind": "expression", "math_text": "43514 * 9671", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43514, \"b\": 9671}", "seed": "6707554931471836630", "semantic_fingerprint": "sha256:afdee82442ef52f06201e01380594b91316a2dd8874519c51f40bcb63b50889a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003177", "prompt": "What is 8539 - (-3586)?", "solution_steps": ["Subtract: 8539 - (-3586) = 12125"], "final_answer": "12125", "answer_type": "integer", "kind": "expression", "math_text": "8539 - (-3586)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8539, \"b\": -3586}", "seed": "3906103262336989618", "semantic_fingerprint": "sha256:467e304bbb400bc36bacf99a9ae759c0044a33d7ca38458545d3fa030ac69479", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003178", "prompt": "What is 74651 - 80647?", "solution_steps": ["Subtract: 74651 - 80647 = -5996"], "final_answer": "-5996", "answer_type": "integer", "kind": "expression", "math_text": "74651 - 80647", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74651, \"b\": 80647}", "seed": "1292900500329001340", "semantic_fingerprint": "sha256:422f62297f2068fb53d69cf59554f836a1b40175ec28775b51e5779dc9108db1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003179", "prompt": "Calculate: (-6320 + (-42904)) / (-1158) * (-7449)", "solution_steps": ["Add: -6320 + (-42904) = -49224", "Divide: -49224 / (-1158) = 8204/193", "Multiply: (8204/193) * (-7449) = -61111596/193"], "final_answer": "-61111596/193", "answer_type": "rational", "kind": "expression", "math_text": "(-6320 + (-42904)) / (-1158) * (-7449)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6320, \"b\": -42904, \"c\": -1158, \"d\": -7449}", "seed": "17962753761282008642", "semantic_fingerprint": "sha256:86c9f6aa476e5da83bec1c0bd5d7e116a9d45aea1f140735979bade6495e0b44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003180", "prompt": "Calculate: -5447 + (-3063) + 2210", "solution_steps": ["Add: -5447 + (-3063) = -8510", "Add: -8510 + 2210 = -6300"], "final_answer": "-6300", "answer_type": "integer", "kind": "expression", "math_text": "-5447 + (-3063) + 2210", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5447, \"b\": -3063, \"c\": 2210}", "seed": "15844896078526733424", "semantic_fingerprint": "sha256:a59999967a0520880e54248ca12a4c917defc00cb19b73b8be6b9f2c7a2dcfec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003181", "prompt": "Evaluate: 77320 - (16441 + (-3266))", "solution_steps": ["Add: 16441 + (-3266) = 13175", "Subtract: 77320 - 13175 = 64145"], "final_answer": "64145", "answer_type": "integer", "kind": "expression", "math_text": "77320 - (16441 + (-3266))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77320, \"b\": 16441, \"c\": -3266}", "seed": "14376935555872756226", "semantic_fingerprint": "sha256:2a27e2b7700c414d5fec646f7dc2118db3ff31582e48eba8f5f0919da616243d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003182", "prompt": "Calculate: -62018 + (-2955 - 5413)", "solution_steps": ["Subtract: -2955 - 5413 = -8368", "Add: -62018 + (-8368) = -70386"], "final_answer": "-70386", "answer_type": "integer", "kind": "expression", "math_text": "-62018 + (-2955 - 5413)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62018, \"b\": -2955, \"c\": 5413}", "seed": "10025427142732259398", "semantic_fingerprint": "sha256:da75cad94d65e1a0313bcf331460544f00cef1549ba667b77a0b73b2d6121ce2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003183", "prompt": "Evaluate: -9757 + (25830 - (-7746)) * (-1257 * (-20034 - (-5446)))", "solution_steps": ["Subtract: 25830 - (-7746) = 33576", "Subtract: -20034 - (-5446) = -14588", "Multiply: -1257 * (-14588) = 18337116", "Multiply: 33576 * 18337116 = 615687006816", "Add: -9757 + 615687006816 = 615686997059"], "final_answer": "615686997059", "answer_type": "integer", "kind": "expression", "math_text": "-9757 + (25830 - (-7746)) * (-1257 * (-20034 - (-5446)))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (- n n) (* n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9757, \"b\": 25830, \"c\": -7746, \"d\": -1257, \"e\": -20034, \"f\": -5446}", "seed": "9914608188808348", "semantic_fingerprint": "sha256:ac76734699cc1fc419ed5dd0dbd32c9ffa1952bba2326265b44f94adef18fcd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003184", "prompt": "Compute: -22405 - (-64199 - (-9414))", "solution_steps": ["Subtract: -64199 - (-9414) = -54785", "Subtract: -22405 - (-54785) = 32380"], "final_answer": "32380", "answer_type": "integer", "kind": "expression", "math_text": "-22405 - (-64199 - (-9414))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22405, \"b\": -64199, \"c\": -9414}", "seed": "3528632170837573479", "semantic_fingerprint": "sha256:53e8b2cf94d0d0a5af1ddf243877134cd318fdc362f8078888d17b20b3dd3eec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003185", "prompt": "Solve the equation 14x = x + 1014 for x.", "solution_steps": ["Subtract x from both sides: 13x = 1014", "Divide both sides by 13: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = x + 1014", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": 1014, \"x\": 78}", "seed": "5091486882225865221", "semantic_fingerprint": "sha256:c23c635454e962c5da64f3d15dce26acefae055eaa618ab1bc00c211a0afd9d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003186", "prompt": "Calculate: (16823 + 67352 + (-3040 - 5675) + 99284) / 32071", "solution_steps": ["Add: 16823 + 67352 = 84175", "Subtract: -3040 - 5675 = -8715", "Add: 84175 + (-8715) = 75460", "Add: 75460 + 99284 = 174744", "Divide: 174744 / 32071 = 174744/32071"], "final_answer": "174744/32071", "answer_type": "rational", "kind": "expression", "math_text": "(16823 + 67352 + (-3040 - 5675) + 99284) / 32071", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (+ n n) (- n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16823, \"b\": 67352, \"c\": -3040, \"d\": 5675, \"e\": 99284, \"f\": 32071}", "seed": "9930559623098830180", "semantic_fingerprint": "sha256:924ce6986203a4b2dbf7b388d740d3294761bb212c997a2d3e209fd53b89e6f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003187", "prompt": "Evaluate: -6732 * (-6069) / 5287", "solution_steps": ["Multiply: -6732 * (-6069) = 40856508", "Divide: 40856508 / 5287 = 2403324/311"], "final_answer": "2403324/311", "answer_type": "rational", "kind": "expression", "math_text": "-6732 * (-6069) / 5287", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6732, \"b\": -6069, \"c\": 5287}", "seed": "14043418556299707160", "semantic_fingerprint": "sha256:7534036d6cbe1a897b3adaa834dfedac7279add61f954f6e5cfa02fcfacc40e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003188", "prompt": "Evaluate: (-7238 - 1254) / (-4483) - (4222 + (41585 + (-6385)))", "solution_steps": ["Subtract: -7238 - 1254 = -8492", "Divide: -8492 / (-4483) = 8492/4483", "Add: 41585 + (-6385) = 35200", "Add: 4222 + 35200 = 39422", "Subtract: 8492/4483 - 39422 = -176720334/4483"], "final_answer": "-176720334/4483", "answer_type": "rational", "kind": "expression", "math_text": "(-7238 - 1254) / (-4483) - (4222 + (41585 + (-6385)))", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7238, \"b\": 1254, \"c\": -4483, \"d\": 4222, \"e\": 41585, \"f\": -6385}", "seed": "8186674043777861399", "semantic_fingerprint": "sha256:d1a3c2723df8982a7fb6b1b93608ed50da1cbd38e5ebefaf04b349ad94b48c62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003189", "prompt": "Solve the equation 24x - 31288 = x - 33266 for x.", "solution_steps": ["Subtract x from both sides: 23x - 31288 = -33266", "Add 31288 to both sides: 23x = -1978", "Divide both sides by 23: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 31288 = x - 33266", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 31288, \"d\": -33266, \"x\": -86}", "seed": "4743509748155002046", "semantic_fingerprint": "sha256:6f2e8247b6fce9a4e4e7c0733127cdaca23bde5e9cdf945cc342e65d32637bbe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003190", "prompt": "Compute: -1974 / (7225 + (-35561))", "solution_steps": ["Add: 7225 + (-35561) = -28336", "Divide: -1974 / (-28336) = 141/2024"], "final_answer": "141/2024", "answer_type": "rational", "kind": "expression", "math_text": "-1974 / (7225 + (-35561))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1974, \"b\": 7225, \"c\": -35561}", "seed": "18391322845919183002", "semantic_fingerprint": "sha256:cc70cff633b23c61f5c7ec4057678254ccd91ca33ba72aa2b8fb50ed5cbf6370", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003191", "prompt": "Compute: (-7063 + 22457) * (19444 + (-2685))", "solution_steps": ["Add: -7063 + 22457 = 15394", "Add: 19444 + (-2685) = 16759", "Multiply: 15394 * 16759 = 257988046"], "final_answer": "257988046", "answer_type": "integer", "kind": "expression", "math_text": "(-7063 + 22457) * (19444 + (-2685))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7063, \"b\": 22457, \"c\": 19444, \"d\": -2685}", "seed": "4315849585216897486", "semantic_fingerprint": "sha256:d8e9a6f84b89c8b46683ffd0a6d1b2bfb9d8c1a0616b6fcce078583edcad29d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003192", "prompt": "What is -4901 / (-6182)?", "solution_steps": ["Divide: -4901 / (-6182) = 4901/6182"], "final_answer": "4901/6182", "answer_type": "rational", "kind": "expression", "math_text": "-4901 / (-6182)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4901, \"b\": -6182}", "seed": "5029805997462560132", "semantic_fingerprint": "sha256:13063981fe05e9cddf1c797c2540074d977632937ae113ddf1e9b7379f4b0c0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003193", "prompt": "What value of x satisfies -15x = x + 1968?", "solution_steps": ["Subtract x from both sides: -16x = 1968", "Divide both sides by -16: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x = x + 1968", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"c\": 1968, \"x\": -123}", "seed": "10543409363368592968", "semantic_fingerprint": "sha256:e54390c1bdb6ea778788cba79fec86322a90521532a2a5462614354439b20c80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003194", "prompt": "Calculate: (5360 + (48848 - (-43034))) / (-6600 + (-7780) + (-88361))", "solution_steps": ["Subtract: 48848 - (-43034) = 91882", "Add: 5360 + 91882 = 97242", "Add: -6600 + (-7780) = -14380", "Add: -14380 + (-88361) = -102741", "Divide: 97242 / (-102741) = -32414/34247"], "final_answer": "-32414/34247", "answer_type": "rational", "kind": "expression", "math_text": "(5360 + (48848 - (-43034))) / (-6600 + (-7780) + (-88361))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5360, \"b\": 48848, \"c\": -43034, \"d\": -6600, \"e\": -7780, \"f\": -88361}", "seed": "15160713498559041590", "semantic_fingerprint": "sha256:2fcc4ae3af13d5836a7870c78ec90d9c8fc7ea2b60b9bf4a78e0b37d71cf221b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003195", "prompt": "Calculate: 8350 / (-7063 - (63794 - 2177))", "solution_steps": ["Subtract: 63794 - 2177 = 61617", "Subtract: -7063 - 61617 = -68680", "Divide: 8350 / (-68680) = -835/6868"], "final_answer": "-835/6868", "answer_type": "rational", "kind": "expression", "math_text": "8350 / (-7063 - (63794 - 2177))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8350, \"b\": -7063, \"c\": 63794, \"d\": 2177}", "seed": "8684728673265334080", "semantic_fingerprint": "sha256:031f0c13248e6ad078502468ea121bfc271146945157a73ec28d7ac191756fc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003196", "prompt": "Evaluate: 40277 / (-8225 / 96154)", "solution_steps": ["Divide: -8225 / 96154 = -8225/96154", "Divide: 40277 / (-8225/96154) = -3872794658/8225"], "final_answer": "-3872794658/8225", "answer_type": "rational", "kind": "expression", "math_text": "40277 / (-8225 / 96154)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40277, \"b\": -8225, \"c\": 96154}", "seed": "156528165439451802", "semantic_fingerprint": "sha256:8c3176501704518fd3767e90d05b667cf57c79f24dd966d71f8457981f0303aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003197", "prompt": "Evaluate: (6721 - (-7554)) * 6662 - (23747 + 6294)", "solution_steps": ["Subtract: 6721 - (-7554) = 14275", "Multiply: 14275 * 6662 = 95100050", "Add: 23747 + 6294 = 30041", "Subtract: 95100050 - 30041 = 95070009"], "final_answer": "95070009", "answer_type": "integer", "kind": "expression", "math_text": "(6721 - (-7554)) * 6662 - (23747 + 6294)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6721, \"b\": -7554, \"c\": 6662, \"d\": 23747, \"e\": 6294}", "seed": "1262271547133248244", "semantic_fingerprint": "sha256:7720802151838f7ffaaaa250870aa20dee7ff74cef383e52721cb1e8354ba7a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003198", "prompt": "Calculate: -31568 * 33689 / (-5053)", "solution_steps": ["Multiply: -31568 * 33689 = -1063494352", "Divide: -1063494352 / (-5053) = 1063494352/5053"], "final_answer": "1063494352/5053", "answer_type": "rational", "kind": "expression", "math_text": "-31568 * 33689 / (-5053)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31568, \"b\": 33689, \"c\": -5053}", "seed": "4456691750837267112", "semantic_fingerprint": "sha256:a48c6e92e1f8e8ed08b379e43119bbf58075f4cd3726850be865884423066d6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003199", "prompt": "Solve for x: x - 43200 = -32(x + 7810)", "solution_steps": ["Expand: x - 43200 = -32x - 249920", "Add 32x to both sides: 33x - 43200 = -249920", "Add 43200 to both sides: 33x = -206720", "Divide both sides by 33: x = -206720/33"], "final_answer": "-206720/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 43200 = -32(x + 7810)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 43200, \"b\": -32, \"c\": 7810}", "seed": "265829523996250838", "semantic_fingerprint": "sha256:2a7ba5faa905fef9f992e1fc7f2eed7d2853f02a7d67b0fedfa31140548cf317", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003200", "prompt": "Calculate: -83606 * (-9276 / 3313 + (-1326))", "solution_steps": ["Divide: -9276 / 3313 = -9276/3313", "Add: -9276/3313 + (-1326) = -4402314/3313", "Multiply: -83606 * (-4402314/3313) = 368059864284/3313"], "final_answer": "368059864284/3313", "answer_type": "rational", "kind": "expression", "math_text": "-83606 * (-9276 / 3313 + (-1326))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83606, \"b\": -9276, \"c\": 3313, \"d\": -1326}", "seed": "15862757804543883432", "semantic_fingerprint": "sha256:9a9984e42d68fbd03c2d20852d4995571b79cc67198c10f7a031b49179a5ac6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003201", "prompt": "Compute: -61815 * 1031 - (-2816) / (4474 - (-1361))", "solution_steps": ["Multiply: -61815 * 1031 = -63731265", "Subtract: 4474 - (-1361) = 5835", "Divide: -2816 / 5835 = -2816/5835", "Subtract: -63731265 - (-2816/5835) = -371871928459/5835"], "final_answer": "-371871928459/5835", "answer_type": "rational", "kind": "expression", "math_text": "-61815 * 1031 - (-2816) / (4474 - (-1361))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -61815, \"b\": 1031, \"c\": -2816, \"d\": 4474, \"e\": -1361}", "seed": "1204084135729372763", "semantic_fingerprint": "sha256:c3d83a35cd80439d2d87f09b078c75e5f3497cdd97a18411305d3cac66f844c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003202", "prompt": "Evaluate: 34914 + (-39937)", "solution_steps": ["Add: 34914 + (-39937) = -5023"], "final_answer": "-5023", "answer_type": "integer", "kind": "expression", "math_text": "34914 + (-39937)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34914, \"b\": -39937}", "seed": "10205303291785635196", "semantic_fingerprint": "sha256:1e0c33f2f211c1a5dd071c8b0ed7a71b76a83c4394fc567b92240c3798b48e33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003203", "prompt": "Evaluate: -96280 / (6281 / (-50137))", "solution_steps": ["Divide: 6281 / (-50137) = -6281/50137", "Divide: -96280 / (-6281/50137) = 4827190360/6281"], "final_answer": "4827190360/6281", "answer_type": "rational", "kind": "expression", "math_text": "-96280 / (6281 / (-50137))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96280, \"b\": 6281, \"c\": -50137}", "seed": "9287439403460946177", "semantic_fingerprint": "sha256:f81bc91696665a9caa93dadfc7622c56ce5c46263c86d02f5a0b4f8d9ed7652a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003204", "prompt": "Compute: 20451 / 88071", "solution_steps": ["Divide: 20451 / 88071 = 6817/29357"], "final_answer": "6817/29357", "answer_type": "rational", "kind": "expression", "math_text": "20451 / 88071", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20451, \"b\": 88071}", "seed": "2107426442943547054", "semantic_fingerprint": "sha256:8f8653cbf910dba1eb2322f56496fc86da2b0b24bd7b1ab89f7cfecf7ed014e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003205", "prompt": "What is -31913 + (-1900) * (-74792)?", "solution_steps": ["Multiply: -1900 * (-74792) = 142104800", "Add: -31913 + 142104800 = 142072887"], "final_answer": "142072887", "answer_type": "integer", "kind": "expression", "math_text": "-31913 + (-1900) * (-74792)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31913, \"b\": -1900, \"c\": -74792}", "seed": "12823551602626098632", "semantic_fingerprint": "sha256:fddffd2384db0ff873ea5f15fe5ee3ac92a7d1a18b5957e12d9b1f6e34066534", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003206", "prompt": "Solve the equation -35(x - 7238) - 6517 = 40x - 7205 for x.", "solution_steps": ["Expand: -35x + 253330 - 6517 = 40x - 7205", "Combine constants: -35x + 246813 = 40x - 7205", "Subtract 40x from both sides: -75x + 246813 = -7205", "Subtract 246813 from both sides: -75x = -254018", "Divide both sides by -75: x = 254018/75"], "final_answer": "254018/75", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 7238) - 6517 = 40x - 7205", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 7238, \"c\": 6517, \"d\": 40, \"e\": 7205}", "seed": "8290203498131382330", "semantic_fingerprint": "sha256:1b06b7089eef2c6ac30ad4491a7386a95eb768e491bf5df159911f6e44112096", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003207", "prompt": "Find x: 17x = 39x", "solution_steps": ["Subtract 39x from both sides: -22x = 0", "Divide both sides by -22: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = 39x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 39}", "seed": "15765827767983382604", "semantic_fingerprint": "sha256:430a58c23f822ecf4c435ced1fe67d5076be4bf1bc731bceab4674a573076144", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003208", "prompt": "What value of x satisfies 14(x - 5822) + 6491 = 19x - 63189?", "solution_steps": ["Expand: 14x - 81508 + 6491 = 19x - 63189", "Combine constants: 14x - 75017 = 19x - 63189", "Subtract 19x from both sides: -5x - 75017 = -63189", "Add 75017 to both sides: -5x = 11828", "Divide both sides by -5: x = -11828/5"], "final_answer": "-11828/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 5822) + 6491 = 19x - 63189", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5822, \"c\": 6491, \"d\": 19, \"e\": 63189}", "seed": "18062218597347202685", "semantic_fingerprint": "sha256:d94d4596e9b0fc55abea7073c2f6a45ff6a3e1457b08e58aad164398cc4c0d0a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003209", "prompt": "Solve the equation -17x - 1490 = 1604 for x.", "solution_steps": ["Add 1490 to both sides: -17x = 3094", "Divide both sides by -17: x = -182"], "final_answer": "-182", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x - 1490 = 1604", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 1490, \"d\": 1604, \"x\": -182}", "seed": "5555250844521489053", "semantic_fingerprint": "sha256:93ea22f22ff28ce75a38c1d0fc0b2f966bfb1f01c909f88cc2824ca7f10c5b15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003210", "prompt": "Compute: -9557 * (-8463 * (-1324) / 80086)", "solution_steps": ["Multiply: -8463 * (-1324) = 11205012", "Divide: 11205012 / 80086 = 5602506/40043", "Multiply: -9557 * (5602506/40043) = -53543149842/40043"], "final_answer": "-53543149842/40043", "answer_type": "rational", "kind": "expression", "math_text": "-9557 * (-8463 * (-1324) / 80086)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9557, \"b\": -8463, \"c\": -1324, \"d\": 80086}", "seed": "13820525709131176001", "semantic_fingerprint": "sha256:f5e24e8a524a71fe453b04c634635e4cce5eb55edf786edfa4566636366a9645", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003211", "prompt": "Compute: (-2433 * 3316 - 6359) * (-3196) - 1512", "solution_steps": ["Multiply: -2433 * 3316 = -8067828", "Subtract: -8067828 - 6359 = -8074187", "Multiply: -8074187 * (-3196) = 25805101652", "Subtract: 25805101652 - 1512 = 25805100140"], "final_answer": "25805100140", "answer_type": "integer", "kind": "expression", "math_text": "(-2433 * 3316 - 6359) * (-3196) - 1512", "variable": null, "family": "expression_4op", "shape": "(- (* (- (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2433, \"b\": 3316, \"c\": 6359, \"d\": -3196, \"e\": 1512}", "seed": "8952450304098597983", "semantic_fingerprint": "sha256:e8d8484f4e7077d6485e29d050f636599821e41e16f914faa0ed53a898028541", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003212", "prompt": "What is -6021 - (11710 / (-39847) - 60452)?", "solution_steps": ["Divide: 11710 / (-39847) = -11710/39847", "Subtract: -11710/39847 - 60452 = -2408842554/39847", "Subtract: -6021 - (-2408842554/39847) = 2168923767/39847"], "final_answer": "2168923767/39847", "answer_type": "rational", "kind": "expression", "math_text": "-6021 - (11710 / (-39847) - 60452)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6021, \"b\": 11710, \"c\": -39847, \"d\": 60452}", "seed": "15163135086382579043", "semantic_fingerprint": "sha256:cde278db1c389a5138c9a651cb18d8693aff2f66ff0e99c62ccf129ca3788dcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003213", "prompt": "Calculate: (-9933 - 81761) * (-52892 + (-6931))", "solution_steps": ["Subtract: -9933 - 81761 = -91694", "Add: -52892 + (-6931) = -59823", "Multiply: -91694 * (-59823) = 5485410162"], "final_answer": "5485410162", "answer_type": "integer", "kind": "expression", "math_text": "(-9933 - 81761) * (-52892 + (-6931))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9933, \"b\": 81761, \"c\": -52892, \"d\": -6931}", "seed": "14170196195207003865", "semantic_fingerprint": "sha256:fb3f7bb812f2ca2713224791f29bea06a11b99148f251ad63c29fdbb01893cac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003214", "prompt": "Solve the equation 31x = -25(x - 1476) for x.", "solution_steps": ["Expand: 31x = -25x + 36900", "Add 25x to both sides: 56x = 36900", "Divide both sides by 56: x = 9225/14"], "final_answer": "9225/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x = -25(x - 1476)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": -25, \"c\": 1476}", "seed": "11308960561554131732", "semantic_fingerprint": "sha256:7798c43fc2d01940986c4bc71702b77f5f7a2cebd2590297921aad5939e06ba0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003215", "prompt": "Calculate: -8164 * (1187 * (-7030)) + (5985 + (-9404 + 2684))", "solution_steps": ["Multiply: 1187 * (-7030) = -8344610", "Multiply: -8164 * (-8344610) = 68125396040", "Add: -9404 + 2684 = -6720", "Add: 5985 + (-6720) = -735", "Add: 68125396040 + (-735) = 68125395305"], "final_answer": "68125395305", "answer_type": "integer", "kind": "expression", "math_text": "-8164 * (1187 * (-7030)) + (5985 + (-9404 + 2684))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8164, \"b\": 1187, \"c\": -7030, \"d\": 5985, \"e\": -9404, \"f\": 2684}", "seed": "1485833086848801699", "semantic_fingerprint": "sha256:9abca007cbd9e25f5f543e5f8632db6a57c9ba7c11c07211540f2f793caccaa4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003216", "prompt": "Compute: -4528 - (-50963)", "solution_steps": ["Subtract: -4528 - (-50963) = 46435"], "final_answer": "46435", "answer_type": "integer", "kind": "expression", "math_text": "-4528 - (-50963)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4528, \"b\": -50963}", "seed": "11861692416627405836", "semantic_fingerprint": "sha256:20ddbc16718c9fd960e12a80f68e4edc30e71cf84da4645a2967a2933e21c1c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003217", "prompt": "What value of x satisfies 30x = x?", "solution_steps": ["Subtract x from both sides: 29x = 0", "Divide both sides by 29: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30}", "seed": "8457586711529567035", "semantic_fingerprint": "sha256:d4b1fc00068389b2fa93279086132e68b933dfbe5acabea0666915238182bf31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003218", "prompt": "Evaluate: 44309 - (-64421) + 3648 * (-3290)", "solution_steps": ["Subtract: 44309 - (-64421) = 108730", "Multiply: 3648 * (-3290) = -12001920", "Add: 108730 + (-12001920) = -11893190"], "final_answer": "-11893190", "answer_type": "integer", "kind": "expression", "math_text": "44309 - (-64421) + 3648 * (-3290)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 44309, \"b\": -64421, \"c\": 3648, \"d\": -3290}", "seed": "2199745326587639766", "semantic_fingerprint": "sha256:b7363d38b681d1bdd54bf14fd23604c3a5100b1ac29aa23b8425e66b8166e80d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003219", "prompt": "Compute: 6442 * (-60918 + (-34246)) / 85566", "solution_steps": ["Add: -60918 + (-34246) = -95164", "Multiply: 6442 * (-95164) = -613046488", "Divide: -613046488 / 85566 = -306523244/42783"], "final_answer": "-306523244/42783", "answer_type": "rational", "kind": "expression", "math_text": "6442 * (-60918 + (-34246)) / 85566", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6442, \"b\": -60918, \"c\": -34246, \"d\": 85566}", "seed": "8411080636346139469", "semantic_fingerprint": "sha256:9ba84dc4c6b0d979a760be2f39d0fb5ea1a9c3bfef01670d276be4043fa9d274", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003220", "prompt": "Calculate: -2470 + (-2561) / (-5562)", "solution_steps": ["Divide: -2561 / (-5562) = 2561/5562", "Add: -2470 + 2561/5562 = -13735579/5562"], "final_answer": "-13735579/5562", "answer_type": "rational", "kind": "expression", "math_text": "-2470 + (-2561) / (-5562)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2470, \"b\": -2561, \"c\": -5562}", "seed": "12397779273761079824", "semantic_fingerprint": "sha256:9dfe01778cb0e9bdddc64fd0f9a3b48a6066406d5747f6708d3066324ad9df87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003221", "prompt": "What value of x satisfies 31(x + 76839) + 83009 = -27(x + 2601)?", "solution_steps": ["Expand: 31x + 2382009 + 83009 = -27(x + 2601)", "Expand: 31x + 2382009 + 83009 = -27x - 70227", "Combine constants: 31x + 2465018 = -27x - 70227", "Add 27x to both sides: 58x + 2465018 = -70227", "Subtract 2465018 from both sides: 58x = -2535245", "Divide both sides by 58: x = -2535245/58"], "final_answer": "-2535245/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 76839) + 83009 = -27(x + 2601)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 76839, \"c\": 83009, \"d\": -27, \"e\": 2601}", "seed": "7415655554864889475", "semantic_fingerprint": "sha256:c0bdc8eb58eb9172adebde94be692e5eb0f803aa626ee1345b19be9d38a05559", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003222", "prompt": "What is -8505 * (9075 + (15435 - (-8184)))?", "solution_steps": ["Subtract: 15435 - (-8184) = 23619", "Add: 9075 + 23619 = 32694", "Multiply: -8505 * 32694 = -278062470"], "final_answer": "-278062470", "answer_type": "integer", "kind": "expression", "math_text": "-8505 * (9075 + (15435 - (-8184)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8505, \"b\": 9075, \"c\": 15435, \"d\": -8184}", "seed": "16336345240516639110", "semantic_fingerprint": "sha256:b3b6312d050596c40a6600c6e9aef5227609f9ce75f78e4b7ed9cd70cb333a3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003223", "prompt": "What value of x satisfies 18(x + 4125) - 72822 = x?", "solution_steps": ["Expand: 18x + 74250 - 72822 = x", "Combine constants: 18x + 1428 = x", "Subtract x from both sides: 17x + 1428 = 0", "Subtract 1428 from both sides: 17x = -1428", "Divide both sides by 17: x = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 4125) - 72822 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 4125, \"d\": -72822, \"x\": -84}", "seed": "15898594334260036447", "semantic_fingerprint": "sha256:bebc2b57c573718217ef9fd6d613073a8ba012568beaeedd819ed0afeb240f97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003224", "prompt": "What is 11508 * (-50024 - (-52776)) + 2325?", "solution_steps": ["Subtract: -50024 - (-52776) = 2752", "Multiply: 11508 * 2752 = 31670016", "Add: 31670016 + 2325 = 31672341"], "final_answer": "31672341", "answer_type": "integer", "kind": "expression", "math_text": "11508 * (-50024 - (-52776)) + 2325", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 11508, \"b\": -50024, \"c\": -52776, \"d\": 2325}", "seed": "14382805146261242296", "semantic_fingerprint": "sha256:512a35111e32297b252a3c9539360305c1a5c2bb714251936cffc3b143ac4bbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003225", "prompt": "Compute: 82236 * (-82804 + (-1238))", "solution_steps": ["Add: -82804 + (-1238) = -84042", "Multiply: 82236 * (-84042) = -6911277912"], "final_answer": "-6911277912", "answer_type": "integer", "kind": "expression", "math_text": "82236 * (-82804 + (-1238))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82236, \"b\": -82804, \"c\": -1238}", "seed": "474306633025518772", "semantic_fingerprint": "sha256:de8846049ae3d23170fbe4979a3010e0006c577b2b13844b54054ea607b2ae13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003226", "prompt": "What is -9075 + (-56581) + (42384 / 32772 + (-8644))?", "solution_steps": ["Add: -9075 + (-56581) = -65656", "Divide: 42384 / 32772 = 3532/2731", "Add: 3532/2731 + (-8644) = -23603232/2731", "Add: -65656 + (-23603232/2731) = -202909768/2731"], "final_answer": "-202909768/2731", "answer_type": "rational", "kind": "expression", "math_text": "-9075 + (-56581) + (42384 / 32772 + (-8644))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9075, \"b\": -56581, \"c\": 42384, \"d\": 32772, \"e\": -8644}", "seed": "9828059143536283606", "semantic_fingerprint": "sha256:d3439a48e5115c2097ceae27f1f5879de46b356ff809069754400b4da6de460f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003227", "prompt": "Calculate: -2124 / 6739 * 90944", "solution_steps": ["Divide: -2124 / 6739 = -2124/6739", "Multiply: (-2124/6739) * 90944 = -193165056/6739"], "final_answer": "-193165056/6739", "answer_type": "rational", "kind": "expression", "math_text": "-2124 / 6739 * 90944", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2124, \"b\": 6739, \"c\": 90944}", "seed": "14351899256984850248", "semantic_fingerprint": "sha256:8b53d9c7b54364204b1721c344db1277aa2c581154d1d3209cfdbd945029f489", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003228", "prompt": "What is (62333 * 8913 + 7608) / (-8149)?", "solution_steps": ["Multiply: 62333 * 8913 = 555574029", "Add: 555574029 + 7608 = 555581637", "Divide: 555581637 / (-8149) = -555581637/8149"], "final_answer": "-555581637/8149", "answer_type": "rational", "kind": "expression", "math_text": "(62333 * 8913 + 7608) / (-8149)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62333, \"b\": 8913, \"c\": 7608, \"d\": -8149}", "seed": "15764118104275197972", "semantic_fingerprint": "sha256:89ffc16be1ff6822289aab07a92d71286769e72923d67b0cd23715a337ee0511", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003229", "prompt": "Evaluate: (8296 - (-9792)) * (-5240) * (-28257 / 6483)", "solution_steps": ["Subtract: 8296 - (-9792) = 18088", "Multiply: 18088 * (-5240) = -94781120", "Divide: -28257 / 6483 = -9419/2161", "Multiply: -94781120 * (-9419/2161) = 892743369280/2161"], "final_answer": "892743369280/2161", "answer_type": "rational", "kind": "expression", "math_text": "(8296 - (-9792)) * (-5240) * (-28257 / 6483)", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8296, \"b\": -9792, \"c\": -5240, \"d\": -28257, \"e\": 6483}", "seed": "12892391957574146752", "semantic_fingerprint": "sha256:efb3a23436881256cb53ff34eb2b8fb5828c75c83774003bb5a6768e21a9d34b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003230", "prompt": "Solve the equation 40(x - 9333) = x for x.", "solution_steps": ["Expand: 40x - 373320 = x", "Subtract x from both sides: 39x - 373320 = 0", "Add 373320 to both sides: 39x = 373320", "Divide both sides by 39: x = 124440/13"], "final_answer": "124440/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 9333) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 9333}", "seed": "308229840249382090", "semantic_fingerprint": "sha256:ac054bf6093fbcb3d11819137ee9de08914e7d9b9b561cc27216b44bd4873312", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003231", "prompt": "What is 72034 / (-79796 + 55660)?", "solution_steps": ["Add: -79796 + 55660 = -24136", "Divide: 72034 / (-24136) = -36017/12068"], "final_answer": "-36017/12068", "answer_type": "rational", "kind": "expression", "math_text": "72034 / (-79796 + 55660)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72034, \"b\": -79796, \"c\": 55660}", "seed": "12867174521723004282", "semantic_fingerprint": "sha256:abac8de4c60d7e5ddab50f8e19f8c14db2da3cb2a2f278bf51757d7c47f79cd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003232", "prompt": "Compute: -3344 / (-9018) * 34147 + (9025 + (-4573 + (-61995)))", "solution_steps": ["Divide: -3344 / (-9018) = 1672/4509", "Multiply: (1672/4509) * 34147 = 57093784/4509", "Add: -4573 + (-61995) = -66568", "Add: 9025 + (-66568) = -57543", "Add: 57093784/4509 + (-57543) = -202367603/4509"], "final_answer": "-202367603/4509", "answer_type": "rational", "kind": "expression", "math_text": "-3344 / (-9018) * 34147 + (9025 + (-4573 + (-61995)))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3344, \"b\": -9018, \"c\": 34147, \"d\": 9025, \"e\": -4573, \"f\": -61995}", "seed": "13312719176488941318", "semantic_fingerprint": "sha256:d9281340c49aab86df50b95d46821b90435ed016fb2fd2ad6f890845a56187a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003233", "prompt": "Solve for x: x + 74155 = 74277", "solution_steps": ["Subtract 74155 from both sides: x = 122"], "final_answer": "122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 74155 = 74277", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74155, \"c\": 74277, \"x\": 122}", "seed": "3825732086632982201", "semantic_fingerprint": "sha256:8f1c1e8ec3048b93dface24193c9621bf6b9f0c0451613459c806f881fcf3c75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003234", "prompt": "Evaluate: 51372 + 84168", "solution_steps": ["Add: 51372 + 84168 = 135540"], "final_answer": "135540", "answer_type": "integer", "kind": "expression", "math_text": "51372 + 84168", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 51372, \"b\": 84168}", "seed": "3312775820602809751", "semantic_fingerprint": "sha256:8d6afe32a5afc26324f428184b3f93a1f8cf0deddfc6dad0541c827955893987", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003235", "prompt": "Compute: -9841 * (-44171) - (-2998 - (-6274))", "solution_steps": ["Multiply: -9841 * (-44171) = 434686811", "Subtract: -2998 - (-6274) = 3276", "Subtract: 434686811 - 3276 = 434683535"], "final_answer": "434683535", "answer_type": "integer", "kind": "expression", "math_text": "-9841 * (-44171) - (-2998 - (-6274))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9841, \"b\": -44171, \"c\": -2998, \"d\": -6274}", "seed": "249906434803285535", "semantic_fingerprint": "sha256:fad944dbb0883a10844b280155b460f3b93cbac38d0d9743e1822a4be5cda7fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003236", "prompt": "Solve the equation x + 8462 = -78605 for x.", "solution_steps": ["Subtract 8462 from both sides: x = -87067"], "final_answer": "-87067", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8462 = -78605", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8462, \"b\": -78605}", "seed": "16868401864810552677", "semantic_fingerprint": "sha256:f6686b6cbe2d63f1ec3750d10bcf8592cb97b0323d5d5293b183c8d72d7b137b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003237", "prompt": "Evaluate: 1140 - 5035 - (-7065 - (-21894)) * 7203", "solution_steps": ["Subtract: 1140 - 5035 = -3895", "Subtract: -7065 - (-21894) = 14829", "Multiply: 14829 * 7203 = 106813287", "Subtract: -3895 - 106813287 = -106817182"], "final_answer": "-106817182", "answer_type": "integer", "kind": "expression", "math_text": "1140 - 5035 - (-7065 - (-21894)) * 7203", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1140, \"b\": 5035, \"c\": -7065, \"d\": -21894, \"e\": 7203}", "seed": "10156987704089930923", "semantic_fingerprint": "sha256:65cc88786f74e2e535768160da7fa2deedd52203b10c3330b028f3547c3577fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003238", "prompt": "Compute: -1384 / (89312 - (-37768))", "solution_steps": ["Subtract: 89312 - (-37768) = 127080", "Divide: -1384 / 127080 = -173/15885"], "final_answer": "-173/15885", "answer_type": "rational", "kind": "expression", "math_text": "-1384 / (89312 - (-37768))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1384, \"b\": 89312, \"c\": -37768}", "seed": "1472441753738741387", "semantic_fingerprint": "sha256:9a3075537695b41de8f8fd517026fe812cbff111cba7349f52e18fe67c86ac60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003239", "prompt": "Compute: -7297 - (-2848) * (-5180) + (31995 - 8752)", "solution_steps": ["Multiply: -2848 * (-5180) = 14752640", "Subtract: -7297 - 14752640 = -14759937", "Subtract: 31995 - 8752 = 23243", "Add: -14759937 + 23243 = -14736694"], "final_answer": "-14736694", "answer_type": "integer", "kind": "expression", "math_text": "-7297 - (-2848) * (-5180) + (31995 - 8752)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7297, \"b\": -2848, \"c\": -5180, \"d\": 31995, \"e\": 8752}", "seed": "15587954502193805307", "semantic_fingerprint": "sha256:4906dc561c5abc73d78385978b1869f199208501695e585a04b16c92516ac84f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003240", "prompt": "Solve the equation -25(x - 9658) = x + 41518 for x.", "solution_steps": ["Expand: -25x + 241450 = x + 41518", "Subtract x from both sides: -26x + 241450 = 41518", "Subtract 241450 from both sides: -26x = -199932", "Divide both sides by -26: x = 99966/13"], "final_answer": "99966/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 9658) = x + 41518", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 9658, \"c\": 41518}", "seed": "6723661251634451402", "semantic_fingerprint": "sha256:5c25db7316266207eab7317d34970f59499d3145b13fb71cf7e5e11cdd5e27d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003241", "prompt": "What is -48508 + (-8380) + (39426 + 7826)?", "solution_steps": ["Add: -48508 + (-8380) = -56888", "Add: 39426 + 7826 = 47252", "Add: -56888 + 47252 = -9636"], "final_answer": "-9636", "answer_type": "integer", "kind": "expression", "math_text": "-48508 + (-8380) + (39426 + 7826)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48508, \"b\": -8380, \"c\": 39426, \"d\": 7826}", "seed": "18352645423993823335", "semantic_fingerprint": "sha256:d3a4ef35f5872c11a34372d69e04524dc3d67040c071416c6292b016dc0bf14a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003242", "prompt": "Compute: 63326 / (-1750)", "solution_steps": ["Divide: 63326 / (-1750) = -31663/875"], "final_answer": "-31663/875", "answer_type": "rational", "kind": "expression", "math_text": "63326 / (-1750)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63326, \"b\": -1750}", "seed": "17273869886026268715", "semantic_fingerprint": "sha256:10929fa823c4fb4423fee272318f524d898fd01265de4dc1fe720307bd1bbe1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003243", "prompt": "Solve for x: -16x + 8114 = x - 3452", "solution_steps": ["Subtract x from both sides: -17x + 8114 = -3452", "Subtract 8114 from both sides: -17x = -11566", "Divide both sides by -17: x = 11566/17"], "final_answer": "11566/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x + 8114 = x - 3452", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 8114, \"c\": 3452}", "seed": "5538442768083757132", "semantic_fingerprint": "sha256:c37b327c8574549eff283cb4835dffc68f6f2f9d65e97adebcbcee3f287747b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003244", "prompt": "Calculate: -4405 - (-2612 - (-1980) / (-5741))", "solution_steps": ["Divide: -1980 / (-5741) = 1980/5741", "Subtract: -2612 - 1980/5741 = -14997472/5741", "Subtract: -4405 - (-14997472/5741) = -10291633/5741"], "final_answer": "-10291633/5741", "answer_type": "rational", "kind": "expression", "math_text": "-4405 - (-2612 - (-1980) / (-5741))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4405, \"b\": -2612, \"c\": -1980, \"d\": -5741}", "seed": "2868298583359319340", "semantic_fingerprint": "sha256:d7a9db5d2ecdac189abda9570df30feac848f357d3ed58f3661e74ef1847958d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003245", "prompt": "Compute: 95478 / (-7020 + 39213) - (98470 - 1116)", "solution_steps": ["Add: -7020 + 39213 = 32193", "Divide: 95478 / 32193 = 31826/10731", "Subtract: 98470 - 1116 = 97354", "Subtract: 31826/10731 - 97354 = -1044673948/10731"], "final_answer": "-1044673948/10731", "answer_type": "rational", "kind": "expression", "math_text": "95478 / (-7020 + 39213) - (98470 - 1116)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 95478, \"b\": -7020, \"c\": 39213, \"d\": 98470, \"e\": 1116}", "seed": "14523452914149186083", "semantic_fingerprint": "sha256:f3a2b9dc9e78fcbf4f7192d2fcb78c2b170edefc44ad992d69c425833a7c1d74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003246", "prompt": "Solve the equation x - 84561 = 38x + 7612 for x.", "solution_steps": ["Subtract 38x from both sides: -37x - 84561 = 7612", "Add 84561 to both sides: -37x = 92173", "Divide both sides by -37: x = -92173/37"], "final_answer": "-92173/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 84561 = 38x + 7612", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84561, \"b\": 38, \"c\": 7612}", "seed": "16301037268502086765", "semantic_fingerprint": "sha256:42f4b53ac3543a553ab2ba168fcba77490b627f49fa11e0ec622914114d431ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003247", "prompt": "Evaluate: -45264 / (-68874) + (4535 + (-31322))", "solution_steps": ["Divide: -45264 / (-68874) = 7544/11479", "Add: 4535 + (-31322) = -26787", "Add: 7544/11479 + (-26787) = -307480429/11479"], "final_answer": "-307480429/11479", "answer_type": "rational", "kind": "expression", "math_text": "-45264 / (-68874) + (4535 + (-31322))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45264, \"b\": -68874, \"c\": 4535, \"d\": -31322}", "seed": "8007515679424392038", "semantic_fingerprint": "sha256:3d5b8a3fd225f9576e7cd189ef0675fe104261f89d114c9bcfba54fa8b1147df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003248", "prompt": "Solve the equation 29(x - 4060) + 59532 = x - 56584 for x.", "solution_steps": ["Expand: 29x - 117740 + 59532 = x - 56584", "Combine constants: 29x - 58208 = x - 56584", "Subtract x from both sides: 28x - 58208 = -56584", "Add 58208 to both sides: 28x = 1624", "Divide both sides by 28: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x - 4060) + 59532 = x - 56584", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4060, \"c\": 59532, \"e\": -56584, \"x\": 58}", "seed": "3060777779099067980", "semantic_fingerprint": "sha256:4c84d2192b1ad7c623ea12f8158799fbf7766a046ad1b4d829cc70b0db32f92a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003249", "prompt": "What is 3297 / (-5135)?", "solution_steps": ["Divide: 3297 / (-5135) = -3297/5135"], "final_answer": "-3297/5135", "answer_type": "rational", "kind": "expression", "math_text": "3297 / (-5135)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3297, \"b\": -5135}", "seed": "4102082189626019987", "semantic_fingerprint": "sha256:dc0380bf24e858444a92320803076cdebb22490203b6fa534f13d305854e5723", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003250", "prompt": "What value of x satisfies 39(x + 4118) = 32x - 90754?", "solution_steps": ["Expand: 39x + 160602 = 32x - 90754", "Subtract 32x from both sides: 7x + 160602 = -90754", "Subtract 160602 from both sides: 7x = -251356", "Divide both sides by 7: x = -35908"], "final_answer": "-35908", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x + 4118) = 32x - 90754", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4118, \"c\": 32, \"d\": 90754}", "seed": "11842888833339324263", "semantic_fingerprint": "sha256:ff6935921e90f801ca6c2f6835fde47c5529cb5e1a9aa5826004ac4fadfd1ff8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003251", "prompt": "Calculate: 7335 / 2482 - (46218 - (-44734))", "solution_steps": ["Divide: 7335 / 2482 = 7335/2482", "Subtract: 46218 - (-44734) = 90952", "Subtract: 7335/2482 - 90952 = -225735529/2482"], "final_answer": "-225735529/2482", "answer_type": "rational", "kind": "expression", "math_text": "7335 / 2482 - (46218 - (-44734))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7335, \"b\": 2482, \"c\": 46218, \"d\": -44734}", "seed": "12409682122532367884", "semantic_fingerprint": "sha256:fb9b6a1843cab0b1beac59358989ce312398dcefd838940667bd368c3e173445", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003252", "prompt": "Evaluate: (-3948 + 5848) / (-50986)", "solution_steps": ["Add: -3948 + 5848 = 1900", "Divide: 1900 / (-50986) = -950/25493"], "final_answer": "-950/25493", "answer_type": "rational", "kind": "expression", "math_text": "(-3948 + 5848) / (-50986)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3948, \"b\": 5848, \"c\": -50986}", "seed": "9739505582016114672", "semantic_fingerprint": "sha256:9aeee5c0e7e82215eadd7c320d5fffb0d93d01a028eac141c5d9837790646f94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003253", "prompt": "Compute: -7273 / 4442", "solution_steps": ["Divide: -7273 / 4442 = -7273/4442"], "final_answer": "-7273/4442", "answer_type": "rational", "kind": "expression", "math_text": "-7273 / 4442", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7273, \"b\": 4442}", "seed": "15324888462493060782", "semantic_fingerprint": "sha256:b6b56deaf9cfd6ceca76ea42435f0cb43184928a6b0b730e67a74848ab945f39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003254", "prompt": "Calculate: -6756 * 7499 + (-6177) / 6679", "solution_steps": ["Multiply: -6756 * 7499 = -50663244", "Divide: -6177 / 6679 = -6177/6679", "Add: -50663244 + (-6177/6679) = -338379812853/6679"], "final_answer": "-338379812853/6679", "answer_type": "rational", "kind": "expression", "math_text": "-6756 * 7499 + (-6177) / 6679", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6756, \"b\": 7499, \"c\": -6177, \"d\": 6679}", "seed": "11983283866714723648", "semantic_fingerprint": "sha256:658b44c7afef840b5a7abbde4e35a646bd806821bfc327feb281036fc2b21f1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003255", "prompt": "What is 54088 - (-7673 + 2308 / 2604)?", "solution_steps": ["Divide: 2308 / 2604 = 577/651", "Add: -7673 + 577/651 = -4994546/651", "Subtract: 54088 - (-4994546/651) = 40205834/651"], "final_answer": "40205834/651", "answer_type": "rational", "kind": "expression", "math_text": "54088 - (-7673 + 2308 / 2604)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 54088, \"b\": -7673, \"c\": 2308, \"d\": 2604}", "seed": "10218694340151116792", "semantic_fingerprint": "sha256:88db9b2a9bf0fb4af568c77f79cc5698b1b88f4724b15e9e051a5f8eaa4088a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003256", "prompt": "Solve the equation 13(x + 6343) - 25742 = 34(x + 70950) + 99416 for x.", "solution_steps": ["Expand: 13x + 82459 - 25742 = 34(x + 70950) + 99416", "Expand: 13x + 82459 - 25742 = 34x + 2412300 + 99416", "Combine constants: 13x + 56717 = 34x + 2412300 + 99416", "Combine constants: 13x + 56717 = 34x + 2511716", "Subtract 34x from both sides: -21x + 56717 = 2511716", "Subtract 56717 from both sides: -21x = 2454999", "Divide both sides by -21: x = -818333/7"], "final_answer": "-818333/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 6343) - 25742 = 34(x + 70950) + 99416", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6343, \"c\": 25742, \"d\": 34, \"e\": 70950, \"f\": 99416}", "seed": "458933895236380145", "semantic_fingerprint": "sha256:c1f31e3046c109a604bdaf52e2bb36e76b7020f18c76c685388b09252c587f8f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003257", "prompt": "Solve the equation 17(x + 9464) - 7008 = 24(x + 3919) + 60993 for x.", "solution_steps": ["Expand: 17x + 160888 - 7008 = 24(x + 3919) + 60993", "Expand: 17x + 160888 - 7008 = 24x + 94056 + 60993", "Combine constants: 17x + 153880 = 24x + 94056 + 60993", "Combine constants: 17x + 153880 = 24x + 155049", "Subtract 24x from both sides: -7x + 153880 = 155049", "Subtract 153880 from both sides: -7x = 1169", "Divide both sides by -7: x = -167"], "final_answer": "-167", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 9464) - 7008 = 24(x + 3919) + 60993", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 9464, \"c\": 7008, \"d\": 24, \"e\": 3919, \"g\": 60993, \"x\": -167}", "seed": "15764736984549925374", "semantic_fingerprint": "sha256:d5ca5b7c557aa54f8f10b21a72ba3f657a9cebaf4cf6e88da4083ddadc6f3f39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003258", "prompt": "Evaluate: -53067 * (-7148 / (-4576 + 46765) + 5731)", "solution_steps": ["Add: -4576 + 46765 = 42189", "Divide: -7148 / 42189 = -7148/42189", "Add: -7148/42189 + 5731 = 241778011/42189", "Multiply: -53067 * (241778011/42189) = -87281861971/287"], "final_answer": "-87281861971/287", "answer_type": "rational", "kind": "expression", "math_text": "-53067 * (-7148 / (-4576 + 46765) + 5731)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -53067, \"b\": -7148, \"c\": -4576, \"d\": 46765, \"e\": 5731}", "seed": "13897663052108425190", "semantic_fingerprint": "sha256:64f7308cb24300812dcaf5ff9e3810def155c14abe470dad6e9cae998c4840a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003259", "prompt": "Find x: -23(x - 33586) - 52653 = -31x", "solution_steps": ["Expand: -23x + 772478 - 52653 = -31x", "Combine constants: -23x + 719825 = -31x", "Add 31x to both sides: 8x + 719825 = 0", "Subtract 719825 from both sides: 8x = -719825", "Divide both sides by 8: x = -719825/8"], "final_answer": "-719825/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x - 33586) - 52653 = -31x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 33586, \"c\": 52653, \"d\": -31}", "seed": "4217872122290780389", "semantic_fingerprint": "sha256:dce08275235b0961ee026cec6b579507fec728bb0630930077f6c5200d140b8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003260", "prompt": "What is 4180 - (-1226) + 60332 + (14104 + 5093 + 8039)?", "solution_steps": ["Subtract: 4180 - (-1226) = 5406", "Add: 5406 + 60332 = 65738", "Add: 14104 + 5093 = 19197", "Add: 19197 + 8039 = 27236", "Add: 65738 + 27236 = 92974"], "final_answer": "92974", "answer_type": "integer", "kind": "expression", "math_text": "4180 - (-1226) + 60332 + (14104 + 5093 + 8039)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4180, \"b\": -1226, \"c\": 60332, \"d\": 14104, \"e\": 5093, \"f\": 8039}", "seed": "11528132178752239281", "semantic_fingerprint": "sha256:be91140933d97de257cc935687dd637c3ef81993260e25362c78926bc8d380b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003261", "prompt": "What is 1829 / (-7684)?", "solution_steps": ["Divide: 1829 / (-7684) = -1829/7684"], "final_answer": "-1829/7684", "answer_type": "rational", "kind": "expression", "math_text": "1829 / (-7684)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1829, \"b\": -7684}", "seed": "2330824821953614969", "semantic_fingerprint": "sha256:b3141c6738393f82d75eb1824a2f394f2560a532ff16b46038a59f36886627f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003262", "prompt": "Solve for x: -13(x - 7934) = 13(x + 53424) + 5757", "solution_steps": ["Expand: -13x + 103142 = 13(x + 53424) + 5757", "Expand: -13x + 103142 = 13x + 694512 + 5757", "Combine constants: -13x + 103142 = 13x + 700269", "Subtract 13x from both sides: -26x + 103142 = 700269", "Subtract 103142 from both sides: -26x = 597127", "Divide both sides by -26: x = -597127/26"], "final_answer": "-597127/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x - 7934) = 13(x + 53424) + 5757", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 7934, \"c\": 13, \"d\": 53424, \"e\": 5757}", "seed": "12308177225591834029", "semantic_fingerprint": "sha256:25c86dc46f18981f95829d968a899ef15c0d8020eb4289633e64ab58eb211cd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003263", "prompt": "What value of x satisfies 36(x - 6083) + 7019 = 18(x + 47532) + 1967?", "solution_steps": ["Expand: 36x - 218988 + 7019 = 18(x + 47532) + 1967", "Expand: 36x - 218988 + 7019 = 18x + 855576 + 1967", "Combine constants: 36x - 211969 = 18x + 855576 + 1967", "Combine constants: 36x - 211969 = 18x + 857543", "Subtract 18x from both sides: 18x - 211969 = 857543", "Add 211969 to both sides: 18x = 1069512", "Divide both sides by 18: x = 178252/3"], "final_answer": "178252/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 6083) + 7019 = 18(x + 47532) + 1967", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 6083, \"c\": 7019, \"d\": 18, \"e\": 47532, \"f\": 1967}", "seed": "16037193198381586422", "semantic_fingerprint": "sha256:8153a35da300b0ecfd4bae592ec058982783acaaa6baf1b08215f6dcaccc7565", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003264", "prompt": "Compute: 96841 - 35097", "solution_steps": ["Subtract: 96841 - 35097 = 61744"], "final_answer": "61744", "answer_type": "integer", "kind": "expression", "math_text": "96841 - 35097", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 96841, \"b\": 35097}", "seed": "3148375812122106009", "semantic_fingerprint": "sha256:e809f5dbf40bf0cc8f287f03a37932431eba033fd1b32959aeb74604c40c7d88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003265", "prompt": "What is -18448 - (-23587) / (-12165)?", "solution_steps": ["Divide: -23587 / (-12165) = 23587/12165", "Subtract: -18448 - 23587/12165 = -224443507/12165"], "final_answer": "-224443507/12165", "answer_type": "rational", "kind": "expression", "math_text": "-18448 - (-23587) / (-12165)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18448, \"b\": -23587, \"c\": -12165}", "seed": "6618822158737206513", "semantic_fingerprint": "sha256:e28c52bc261c122ef194e3e03cd84f2173ff4fb642fcfd2b20bde3b964ebb085", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003266", "prompt": "What value of x satisfies x - 7762 = 40x - 12559?", "solution_steps": ["Subtract 40x from both sides: -39x - 7762 = -12559", "Add 7762 to both sides: -39x = -4797", "Divide both sides by -39: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7762 = 40x - 12559", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7762, \"b\": 40, \"d\": -12559, \"x\": 123}", "seed": "8537247353320778583", "semantic_fingerprint": "sha256:8d14a03552dfc2fd70abbf988323808571a2e813d082575a91430cfb54cef6f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003267", "prompt": "Find x: 27(x + 1450) - 5783 = x", "solution_steps": ["Expand: 27x + 39150 - 5783 = x", "Combine constants: 27x + 33367 = x", "Subtract x from both sides: 26x + 33367 = 0", "Subtract 33367 from both sides: 26x = -33367", "Divide both sides by 26: x = -33367/26"], "final_answer": "-33367/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 1450) - 5783 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1450, \"c\": 5783}", "seed": "2419291057398822969", "semantic_fingerprint": "sha256:73b35ed372edef2a17322a3aeca03f7c6152c56bf4d9f63c3111145487e9bd03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003268", "prompt": "Evaluate: (-9101 - (-6883)) * (-5935)", "solution_steps": ["Subtract: -9101 - (-6883) = -2218", "Multiply: -2218 * (-5935) = 13163830"], "final_answer": "13163830", "answer_type": "integer", "kind": "expression", "math_text": "(-9101 - (-6883)) * (-5935)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9101, \"b\": -6883, \"c\": -5935}", "seed": "896958454146967704", "semantic_fingerprint": "sha256:f3c08832c05d06fde01a4f201790ae7d87540ebe9761a508adf38767279f3e12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003269", "prompt": "Solve the equation 35(x - 5248) = 19(x - 49601) for x.", "solution_steps": ["Expand: 35x - 183680 = 19(x - 49601)", "Expand: 35x - 183680 = 19x - 942419", "Subtract 19x from both sides: 16x - 183680 = -942419", "Add 183680 to both sides: 16x = -758739", "Divide both sides by 16: x = -758739/16"], "final_answer": "-758739/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 5248) = 19(x - 49601)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 5248, \"c\": 19, \"d\": 49601}", "seed": "13262263331843341274", "semantic_fingerprint": "sha256:a8a396e05fa9d63a58fa43737123aca393e1091ff4f76eebc0a12d5941c702e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003270", "prompt": "Solve for x: 19(x + 1868) - 9731 = 33x + 72251", "solution_steps": ["Expand: 19x + 35492 - 9731 = 33x + 72251", "Combine constants: 19x + 25761 = 33x + 72251", "Subtract 33x from both sides: -14x + 25761 = 72251", "Subtract 25761 from both sides: -14x = 46490", "Divide both sides by -14: x = -23245/7"], "final_answer": "-23245/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 1868) - 9731 = 33x + 72251", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1868, \"c\": 9731, \"d\": 33, \"e\": 72251}", "seed": "2721616982193799122", "semantic_fingerprint": "sha256:31da80864c89de47d4c50c6b1983a0ccd9291cf1905f70457ba70f3afd22aaa5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003271", "prompt": "Calculate: 8117 - (-94148 + 1453) - 16964", "solution_steps": ["Add: -94148 + 1453 = -92695", "Subtract: 8117 - (-92695) = 100812", "Subtract: 100812 - 16964 = 83848"], "final_answer": "83848", "answer_type": "integer", "kind": "expression", "math_text": "8117 - (-94148 + 1453) - 16964", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8117, \"b\": -94148, \"c\": 1453, \"d\": 16964}", "seed": "12176376086051974205", "semantic_fingerprint": "sha256:a971cef0e735b87a9f418b776ac97cc698a4e08b281f1688659b914d749f585b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003272", "prompt": "Compute: -47153 - 4458", "solution_steps": ["Subtract: -47153 - 4458 = -51611"], "final_answer": "-51611", "answer_type": "integer", "kind": "expression", "math_text": "-47153 - 4458", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -47153, \"b\": 4458}", "seed": "6371971073296426160", "semantic_fingerprint": "sha256:884c786466a9bebf14da5ca2000b465cb1a41fe3ac1decd718ef88b96036516a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003273", "prompt": "What is (-7040 + 8065) * 71695?", "solution_steps": ["Add: -7040 + 8065 = 1025", "Multiply: 1025 * 71695 = 73487375"], "final_answer": "73487375", "answer_type": "integer", "kind": "expression", "math_text": "(-7040 + 8065) * 71695", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7040, \"b\": 8065, \"c\": 71695}", "seed": "7862196946454711488", "semantic_fingerprint": "sha256:28990aa3497bff10a433762acf13ab0ee3a6d6e1ac0898b3d118b3959bdbef0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003274", "prompt": "Compute: -5947 - (-8237)", "solution_steps": ["Subtract: -5947 - (-8237) = 2290"], "final_answer": "2290", "answer_type": "integer", "kind": "expression", "math_text": "-5947 - (-8237)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5947, \"b\": -8237}", "seed": "618708977163466104", "semantic_fingerprint": "sha256:1e343b2f9395fec205eaad2d92bf5c06bbd8b5fb2c5d5fcb281620edaf81e9f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003275", "prompt": "Calculate: -5544 * (34431 / 81386) * 9288", "solution_steps": ["Divide: 34431 / 81386 = 34431/81386", "Multiply: -5544 * (34431/81386) = -95442732/40693", "Multiply: (-95442732/40693) * 9288 = -886472094816/40693"], "final_answer": "-886472094816/40693", "answer_type": "rational", "kind": "expression", "math_text": "-5544 * (34431 / 81386) * 9288", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5544, \"b\": 34431, \"c\": 81386, \"d\": 9288}", "seed": "12931150971963356646", "semantic_fingerprint": "sha256:eef540d702f2f1f556b24da664c75e1c46528170456355bc5f5cb8cba5a6cfd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003276", "prompt": "Solve the equation 33(x + 85076) - 75210 = -2242 for x.", "solution_steps": ["Expand: 33x + 2807508 - 75210 = -2242", "Combine constants: 33x + 2732298 = -2242", "Subtract 2732298 from both sides: 33x = -2734540", "Divide both sides by 33: x = -2734540/33"], "final_answer": "-2734540/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 85076) - 75210 = -2242", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 85076, \"c\": 75210, \"d\": -2242}", "seed": "2804847354237510449", "semantic_fingerprint": "sha256:9be92049fa203a8e6f1c8b3bf31c58aed4af318955970ec975277a7d7f72f8c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003277", "prompt": "What is 5941 - (-53106 + (-1889) + 4363)?", "solution_steps": ["Add: -53106 + (-1889) = -54995", "Add: -54995 + 4363 = -50632", "Subtract: 5941 - (-50632) = 56573"], "final_answer": "56573", "answer_type": "integer", "kind": "expression", "math_text": "5941 - (-53106 + (-1889) + 4363)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5941, \"b\": -53106, \"c\": -1889, \"d\": 4363}", "seed": "6835953877818915963", "semantic_fingerprint": "sha256:8070173840c07b7f675efda0bc21d96f573da45e61108e3f44f9b719122c73b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003278", "prompt": "Find x: -31(x - 7760) - 1998 = 38(x + 2022) + 2546", "solution_steps": ["Expand: -31x + 240560 - 1998 = 38(x + 2022) + 2546", "Expand: -31x + 240560 - 1998 = 38x + 76836 + 2546", "Combine constants: -31x + 238562 = 38x + 76836 + 2546", "Combine constants: -31x + 238562 = 38x + 79382", "Subtract 38x from both sides: -69x + 238562 = 79382", "Subtract 238562 from both sides: -69x = -159180", "Divide both sides by -69: x = 53060/23"], "final_answer": "53060/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 7760) - 1998 = 38(x + 2022) + 2546", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 7760, \"c\": 1998, \"d\": 38, \"e\": 2022, \"f\": 2546}", "seed": "13621935508526312", "semantic_fingerprint": "sha256:26f48fc412006dc9579072e88ab3054885861be17eb6fe130fa72e7fb3fc3bec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003279", "prompt": "Calculate: 3003 - 7664 + (17750 - 68087)", "solution_steps": ["Subtract: 3003 - 7664 = -4661", "Subtract: 17750 - 68087 = -50337", "Add: -4661 + (-50337) = -54998"], "final_answer": "-54998", "answer_type": "integer", "kind": "expression", "math_text": "3003 - 7664 + (17750 - 68087)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3003, \"b\": 7664, \"c\": 17750, \"d\": 68087}", "seed": "1764699955021755425", "semantic_fingerprint": "sha256:26512f77fd57ae91965ed1ce96f2d341f14573a76c43b05cac1e0b3f9e796d71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003280", "prompt": "What value of x satisfies x + 4242 = -26x + 1515?", "solution_steps": ["Add 26x to both sides: 27x + 4242 = 1515", "Subtract 4242 from both sides: 27x = -2727", "Divide both sides by 27: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4242 = -26x + 1515", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4242, \"b\": -26, \"d\": 1515, \"x\": -101}", "seed": "3890167497933351357", "semantic_fingerprint": "sha256:46dac13a560cb1bfa9723541ad20ea98c2c0fd2b22150bde48e2f03da3e34315", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003281", "prompt": "Find x: 16(x + 7302) + 25980 = 28(x + 5040)", "solution_steps": ["Expand: 16x + 116832 + 25980 = 28(x + 5040)", "Expand: 16x + 116832 + 25980 = 28x + 141120", "Combine constants: 16x + 142812 = 28x + 141120", "Subtract 28x from both sides: -12x + 142812 = 141120", "Subtract 142812 from both sides: -12x = -1692", "Divide both sides by -12: x = 141"], "final_answer": "141", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 7302) + 25980 = 28(x + 5040)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 7302, \"c\": 28, \"d\": 5040, \"f\": 25980, \"x\": 141}", "seed": "5630601706368846036", "semantic_fingerprint": "sha256:bf7e822ad44dbca251ecd0c86ce8945841a7e880e9ff1e44f6b8519c565afa25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003282", "prompt": "What is 75285 * (-3434)?", "solution_steps": ["Multiply: 75285 * (-3434) = -258528690"], "final_answer": "-258528690", "answer_type": "integer", "kind": "expression", "math_text": "75285 * (-3434)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 75285, \"b\": -3434}", "seed": "3782812642756422313", "semantic_fingerprint": "sha256:794addd7393c1cba817e7ad3705dfcad45c7eed499a0c3d525d517fc68c4c5ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003283", "prompt": "Find x: -30x = 40(x - 1507) + 72180", "solution_steps": ["Expand: -30x = 40x - 60280 + 72180", "Combine constants: -30x = 40x + 11900", "Subtract 40x from both sides: -70x = 11900", "Divide both sides by -70: x = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x = 40(x - 1507) + 72180", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 40, \"c\": 1507, \"e\": 72180, \"x\": -170}", "seed": "2729773010185232851", "semantic_fingerprint": "sha256:0e92d185ede9bca1f01cbf7c674099ebe780bcfebe8e89cfc4c69fa871dfc793", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003284", "prompt": "Compute: -15615 / (5561 - (-4078) - 2513) * 8262", "solution_steps": ["Subtract: 5561 - (-4078) = 9639", "Subtract: 9639 - 2513 = 7126", "Divide: -15615 / 7126 = -15615/7126", "Multiply: (-15615/7126) * 8262 = -64505565/3563"], "final_answer": "-64505565/3563", "answer_type": "rational", "kind": "expression", "math_text": "-15615 / (5561 - (-4078) - 2513) * 8262", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15615, \"b\": 5561, \"c\": -4078, \"d\": 2513, \"e\": 8262}", "seed": "9839942250831322208", "semantic_fingerprint": "sha256:bf071fb0ffaede9c3c5d7181c776375d8b56b46fb1a4ea75f28be52eba16a41e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003285", "prompt": "Find x: -35x + 6426 = 19x", "solution_steps": ["Subtract 19x from both sides: -54x + 6426 = 0", "Subtract 6426 from both sides: -54x = -6426", "Divide both sides by -54: x = 119"], "final_answer": "119", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x + 6426 = 19x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 19, \"d\": 6426, \"x\": 119}", "seed": "4761967523801018884", "semantic_fingerprint": "sha256:157d5f98a96ca99f98b6b44ca845bc93483b32b767120d6254269ae1706557c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003286", "prompt": "What is 10852 * (-3093 - (-49714))?", "solution_steps": ["Subtract: -3093 - (-49714) = 46621", "Multiply: 10852 * 46621 = 505931092"], "final_answer": "505931092", "answer_type": "integer", "kind": "expression", "math_text": "10852 * (-3093 - (-49714))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10852, \"b\": -3093, \"c\": -49714}", "seed": "4057133237423622232", "semantic_fingerprint": "sha256:fb169e2a2765acf56ce0fa55ddf6207c4df1f0f199aec20c7f03e4d77b21789c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003287", "prompt": "Calculate: 64899 - (-52226 - (-3088))", "solution_steps": ["Subtract: -52226 - (-3088) = -49138", "Subtract: 64899 - (-49138) = 114037"], "final_answer": "114037", "answer_type": "integer", "kind": "expression", "math_text": "64899 - (-52226 - (-3088))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64899, \"b\": -52226, \"c\": -3088}", "seed": "7526652458839730448", "semantic_fingerprint": "sha256:159f5bf853249b3019ec2c6ee215b7505007bed00e2718088d250e8fd8d5df00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003288", "prompt": "Solve the equation 32(x - 3844) = 37(x + 1539) for x.", "solution_steps": ["Expand: 32x - 123008 = 37(x + 1539)", "Expand: 32x - 123008 = 37x + 56943", "Subtract 37x from both sides: -5x - 123008 = 56943", "Add 123008 to both sides: -5x = 179951", "Divide both sides by -5: x = -179951/5"], "final_answer": "-179951/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 3844) = 37(x + 1539)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3844, \"c\": 37, \"d\": 1539}", "seed": "16233957455588275644", "semantic_fingerprint": "sha256:32835b6727ee9db09e7757ba80ed0ec76e4c78aeae59d686d1b35ace22fac76f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003289", "prompt": "Solve for x: 24(x + 2041) + 9020 = 19x", "solution_steps": ["Expand: 24x + 48984 + 9020 = 19x", "Combine constants: 24x + 58004 = 19x", "Subtract 19x from both sides: 5x + 58004 = 0", "Subtract 58004 from both sides: 5x = -58004", "Divide both sides by 5: x = -58004/5"], "final_answer": "-58004/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 2041) + 9020 = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2041, \"c\": 9020, \"d\": 19}", "seed": "8492435350812029931", "semantic_fingerprint": "sha256:2f85641c467e5e8cff7bd6f794299bd33a67e805fee4c2b26990cf309594fd39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003290", "prompt": "Calculate: -3102 * (-3786) - 53708", "solution_steps": ["Multiply: -3102 * (-3786) = 11744172", "Subtract: 11744172 - 53708 = 11690464"], "final_answer": "11690464", "answer_type": "integer", "kind": "expression", "math_text": "-3102 * (-3786) - 53708", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3102, \"b\": -3786, \"c\": 53708}", "seed": "15883646891410771200", "semantic_fingerprint": "sha256:c543300196bec9471f98e757f3a114dfea1a0ce1feae7a901e1e2c7a34230159", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003291", "prompt": "Solve for x: 34x - 6175 = -24(x - 6188) - 7353", "solution_steps": ["Expand: 34x - 6175 = -24x + 148512 - 7353", "Combine constants: 34x - 6175 = -24x + 141159", "Add 24x to both sides: 58x - 6175 = 141159", "Add 6175 to both sides: 58x = 147334", "Divide both sides by 58: x = 73667/29"], "final_answer": "73667/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x - 6175 = -24(x - 6188) - 7353", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6175, \"c\": -24, \"d\": 6188, \"e\": 7353}", "seed": "3161256735675663333", "semantic_fingerprint": "sha256:5e5a51fa4499df82e1dd88741cf89bb0568aee1751586b07211f398eada247cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003292", "prompt": "Find x: 18(x - 76430) - 93180 = 28x", "solution_steps": ["Expand: 18x - 1375740 - 93180 = 28x", "Combine constants: 18x - 1468920 = 28x", "Subtract 28x from both sides: -10x - 1468920 = 0", "Add 1468920 to both sides: -10x = 1468920", "Divide both sides by -10: x = -146892"], "final_answer": "-146892", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 76430) - 93180 = 28x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 76430, \"c\": 93180, \"d\": 28}", "seed": "12252984975291678646", "semantic_fingerprint": "sha256:22878fde1decf2c280669f5918319339e6e67ee48d8d6b25340837237f71a665", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003293", "prompt": "Solve for x: x + 1020 = 18x", "solution_steps": ["Subtract 18x from both sides: -17x + 1020 = 0", "Subtract 1020 from both sides: -17x = -1020", "Divide both sides by -17: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1020 = 18x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": 1020, \"x\": 60}", "seed": "10147485502780682538", "semantic_fingerprint": "sha256:9a5c00f0f8dad6e981b35e1d042ac905aaeaf9a9894ca06ac3738a1c508aa05c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003294", "prompt": "Solve the equation x - 8125 = 36(x + 27121) + 59342 for x.", "solution_steps": ["Expand: x - 8125 = 36x + 976356 + 59342", "Combine constants: x - 8125 = 36x + 1035698", "Subtract 36x from both sides: -35x - 8125 = 1035698", "Add 8125 to both sides: -35x = 1043823", "Divide both sides by -35: x = -1043823/35"], "final_answer": "-1043823/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8125 = 36(x + 27121) + 59342", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8125, \"b\": 36, \"c\": 27121, \"d\": 59342}", "seed": "13197909453750071957", "semantic_fingerprint": "sha256:834bc492132ba2d0c6fc4ef8d2535bad1de2cdb835b166478a95ab5acfcc10f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003295", "prompt": "Solve for x: 17x - 2080 = x", "solution_steps": ["Subtract x from both sides: 16x - 2080 = 0", "Add 2080 to both sides: 16x = 2080", "Divide both sides by 16: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x - 2080 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": -2080, \"x\": 130}", "seed": "929024627543315074", "semantic_fingerprint": "sha256:2bed1886ec0d11588f342802d9b612fbc209aa4a39376debbeea9820803f08d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003296", "prompt": "What value of x satisfies x = 37(x - 5448) + 9298?", "solution_steps": ["Expand: x = 37x - 201576 + 9298", "Combine constants: x = 37x - 192278", "Subtract 37x from both sides: -36x = -192278", "Divide both sides by -36: x = 96139/18"], "final_answer": "96139/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x - 5448) + 9298", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 5448, \"c\": 9298}", "seed": "5373485995536476370", "semantic_fingerprint": "sha256:d071aca9806400eb64bcfbc9a1f52a63f51d014dd0c47ad9fc410055692ac1bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003297", "prompt": "Evaluate: 2702 + 2781", "solution_steps": ["Add: 2702 + 2781 = 5483"], "final_answer": "5483", "answer_type": "integer", "kind": "expression", "math_text": "2702 + 2781", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2702, \"b\": 2781}", "seed": "4336114129514014693", "semantic_fingerprint": "sha256:3505d9487ca37e3b3562815e24f29f67b92b267ec9f783c09038861262353995", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003298", "prompt": "Find x: -19x = 26x", "solution_steps": ["Subtract 26x from both sides: -45x = 0", "Divide both sides by -45: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x = 26x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 26}", "seed": "11999417561019561744", "semantic_fingerprint": "sha256:b86bf2df27379b972cd7bc345dd520ce5ef4b4a859f979a3d065e29b2966233d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003299", "prompt": "Evaluate: -28168 * (30733 - (-99510)) / (-1135)", "solution_steps": ["Subtract: 30733 - (-99510) = 130243", "Multiply: -28168 * 130243 = -3668684824", "Divide: -3668684824 / (-1135) = 3668684824/1135"], "final_answer": "3668684824/1135", "answer_type": "rational", "kind": "expression", "math_text": "-28168 * (30733 - (-99510)) / (-1135)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28168, \"b\": 30733, \"c\": -99510, \"d\": -1135}", "seed": "12947727252603670508", "semantic_fingerprint": "sha256:f3ab008ab7b6cae7e0324cb84acbb0e0bc86edb1bb3615bd87d06537b23bad02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003300", "prompt": "Calculate: (-41374 + (-35924)) * 9854", "solution_steps": ["Add: -41374 + (-35924) = -77298", "Multiply: -77298 * 9854 = -761694492"], "final_answer": "-761694492", "answer_type": "integer", "kind": "expression", "math_text": "(-41374 + (-35924)) * 9854", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41374, \"b\": -35924, \"c\": 9854}", "seed": "6374294121275335887", "semantic_fingerprint": "sha256:16144217e5c79f7e0d2dd9ff6c00fc5d0a48b66906a3315f4ef5e45279378bd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003301", "prompt": "Solve the equation 39x - 47270 = x - 48752 for x.", "solution_steps": ["Subtract x from both sides: 38x - 47270 = -48752", "Add 47270 to both sides: 38x = -1482", "Divide both sides by 38: x = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x - 47270 = x - 48752", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 47270, \"d\": -48752, \"x\": -39}", "seed": "17428347350841049025", "semantic_fingerprint": "sha256:adc66692641aa1766308b256581fbe6e847a35ba4fee2a878c64b054a2e0f409", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003302", "prompt": "What value of x satisfies x + 46559 = 34x - 35009?", "solution_steps": ["Subtract 34x from both sides: -33x + 46559 = -35009", "Subtract 46559 from both sides: -33x = -81568", "Divide both sides by -33: x = 81568/33"], "final_answer": "81568/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 46559 = 34x - 35009", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 46559, \"b\": 34, \"c\": 35009}", "seed": "14267531903730021414", "semantic_fingerprint": "sha256:f31a75bb1c125b0401c2cd8d000f6116fc2abe053747079310b5c807751323e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003303", "prompt": "Solve the equation 17(x + 82025) = 28x for x.", "solution_steps": ["Expand: 17x + 1394425 = 28x", "Subtract 28x from both sides: -11x + 1394425 = 0", "Subtract 1394425 from both sides: -11x = -1394425", "Divide both sides by -11: x = 1394425/11"], "final_answer": "1394425/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 82025) = 28x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 82025, \"c\": 28}", "seed": "13440047973718789340", "semantic_fingerprint": "sha256:130aff0e659846fe7f64bb2d23f830214207cf670a6a177ca035b8707c2cbe3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003304", "prompt": "What is -3189 + 9459 / 68646 * (-2646)?", "solution_steps": ["Divide: 9459 / 68646 = 3153/22882", "Multiply: (3153/22882) * (-2646) = -4171419/11441", "Add: -3189 + (-4171419/11441) = -40656768/11441"], "final_answer": "-40656768/11441", "answer_type": "rational", "kind": "expression", "math_text": "-3189 + 9459 / 68646 * (-2646)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3189, \"b\": 9459, \"c\": 68646, \"d\": -2646}", "seed": "9812753566572665613", "semantic_fingerprint": "sha256:529d674c719d5661cea477b9ae5a3af92836918f981cdc1d79c52140f63250ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003305", "prompt": "Find x: 22(x - 41951) = -16x", "solution_steps": ["Expand: 22x - 922922 = -16x", "Add 16x to both sides: 38x - 922922 = 0", "Add 922922 to both sides: 38x = 922922", "Divide both sides by 38: x = 461461/19"], "final_answer": "461461/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 41951) = -16x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 41951, \"c\": -16}", "seed": "5705948690013602962", "semantic_fingerprint": "sha256:77f85918799f5993b1fe21afc8d09f7bddac519fbe98f990bbc66c356e7b5be6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003306", "prompt": "Calculate: 6390 - 3966 + (-6474) * (-8184)", "solution_steps": ["Subtract: 6390 - 3966 = 2424", "Multiply: -6474 * (-8184) = 52983216", "Add: 2424 + 52983216 = 52985640"], "final_answer": "52985640", "answer_type": "integer", "kind": "expression", "math_text": "6390 - 3966 + (-6474) * (-8184)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6390, \"b\": 3966, \"c\": -6474, \"d\": -8184}", "seed": "4730096943172204904", "semantic_fingerprint": "sha256:1f286184710c37a1b7980727bc6a54c7ad20d02f0da5a86e5a14635df68ed0d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003307", "prompt": "What is -92875 * 7110?", "solution_steps": ["Multiply: -92875 * 7110 = -660341250"], "final_answer": "-660341250", "answer_type": "integer", "kind": "expression", "math_text": "-92875 * 7110", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -92875, \"b\": 7110}", "seed": "12105472664144663122", "semantic_fingerprint": "sha256:59ec0e32a808022300837e7a000fbafc7b3e98aff749d2eb0d875c99c1992f54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003308", "prompt": "What value of x satisfies 36(x - 1052) + 2738 = x?", "solution_steps": ["Expand: 36x - 37872 + 2738 = x", "Combine constants: 36x - 35134 = x", "Subtract x from both sides: 35x - 35134 = 0", "Add 35134 to both sides: 35x = 35134", "Divide both sides by 35: x = 35134/35"], "final_answer": "35134/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 1052) + 2738 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1052, \"c\": 2738}", "seed": "6100587017985181184", "semantic_fingerprint": "sha256:6446d94872d6b58468d0d30b1d660d0db15f1335bfdd0bb8e8f825a911bf33af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003309", "prompt": "What is -89599 / (-8716)?", "solution_steps": ["Divide: -89599 / (-8716) = 89599/8716"], "final_answer": "89599/8716", "answer_type": "rational", "kind": "expression", "math_text": "-89599 / (-8716)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89599, \"b\": -8716}", "seed": "13316349222214857658", "semantic_fingerprint": "sha256:b25da172909951bf9343b06fd7a96b1917a8797e6cf25c0c37aa45002d4fce7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003310", "prompt": "Solve for x: x - 4448 = 32(x + 3393) + 4946", "solution_steps": ["Expand: x - 4448 = 32x + 108576 + 4946", "Combine constants: x - 4448 = 32x + 113522", "Subtract 32x from both sides: -31x - 4448 = 113522", "Add 4448 to both sides: -31x = 117970", "Divide both sides by -31: x = -117970/31"], "final_answer": "-117970/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4448 = 32(x + 3393) + 4946", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4448, \"b\": 32, \"c\": 3393, \"d\": 4946}", "seed": "2378280629953051045", "semantic_fingerprint": "sha256:d493d14e5182c7acc4b5243dfe9e17bfcafe9a15d78f89cf5cb2ed60acc63fea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003311", "prompt": "Calculate: 3292 - 21356 * (9396 + (-5593))", "solution_steps": ["Add: 9396 + (-5593) = 3803", "Multiply: 21356 * 3803 = 81216868", "Subtract: 3292 - 81216868 = -81213576"], "final_answer": "-81213576", "answer_type": "integer", "kind": "expression", "math_text": "3292 - 21356 * (9396 + (-5593))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3292, \"b\": 21356, \"c\": 9396, \"d\": -5593}", "seed": "8497612496736488671", "semantic_fingerprint": "sha256:64cf8fce00e3bd601b490100414d2bd38458069fee9690cfc1a4ae07ddb9d420", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003312", "prompt": "Solve the equation 19x - 88580 = -33(x + 59181) - 16498 for x.", "solution_steps": ["Expand: 19x - 88580 = -33x - 1952973 - 16498", "Combine constants: 19x - 88580 = -33x - 1969471", "Add 33x to both sides: 52x - 88580 = -1969471", "Add 88580 to both sides: 52x = -1880891", "Divide both sides by 52: x = -1880891/52"], "final_answer": "-1880891/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x - 88580 = -33(x + 59181) - 16498", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 88580, \"c\": -33, \"d\": 59181, \"e\": 16498}", "seed": "3396412069246940587", "semantic_fingerprint": "sha256:9d9318c8d088ce4708250f4312d6d2eb6170d7dd2d64d7e1a9b54b60a8ae1586", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003313", "prompt": "What is 3572 * (-6750) / (-77515 - (-23101))?", "solution_steps": ["Multiply: 3572 * (-6750) = -24111000", "Subtract: -77515 - (-23101) = -54414", "Divide: -24111000 / (-54414) = 1339500/3023"], "final_answer": "1339500/3023", "answer_type": "rational", "kind": "expression", "math_text": "3572 * (-6750) / (-77515 - (-23101))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3572, \"b\": -6750, \"c\": -77515, \"d\": -23101}", "seed": "16435517752040899010", "semantic_fingerprint": "sha256:ed428e62d8fd69f2a451217975ca074cb71970db6a39176f3ff77bb5c31d0d14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003314", "prompt": "What is 31580 + 1175 - (-8779 - 16169)?", "solution_steps": ["Add: 31580 + 1175 = 32755", "Subtract: -8779 - 16169 = -24948", "Subtract: 32755 - (-24948) = 57703"], "final_answer": "57703", "answer_type": "integer", "kind": "expression", "math_text": "31580 + 1175 - (-8779 - 16169)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31580, \"b\": 1175, \"c\": -8779, \"d\": 16169}", "seed": "2547390997058329668", "semantic_fingerprint": "sha256:005fea51f8233c1ffc237c7cf9f0181614b7b22ab509d21fb556ddea3a6cd73c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003315", "prompt": "Find x: x + 38343 = -29(x + 6182)", "solution_steps": ["Expand: x + 38343 = -29x - 179278", "Add 29x to both sides: 30x + 38343 = -179278", "Subtract 38343 from both sides: 30x = -217621", "Divide both sides by 30: x = -217621/30"], "final_answer": "-217621/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 38343 = -29(x + 6182)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38343, \"b\": -29, \"c\": 6182}", "seed": "18145033911367082590", "semantic_fingerprint": "sha256:e792a4cd276a802d45acde2c0e8699efa9b5021dbba67b39f9c215f5d6e8fa67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003316", "prompt": "What is 94050 + 29863?", "solution_steps": ["Add: 94050 + 29863 = 123913"], "final_answer": "123913", "answer_type": "integer", "kind": "expression", "math_text": "94050 + 29863", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94050, \"b\": 29863}", "seed": "3238712376645145381", "semantic_fingerprint": "sha256:c09af39c519f9f43495cd16560e0cdd40a9141c73fda7eea3236e341a87cdfef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003317", "prompt": "Solve the equation 30(x - 1443) + 51789 = -8896 for x.", "solution_steps": ["Expand: 30x - 43290 + 51789 = -8896", "Combine constants: 30x + 8499 = -8896", "Subtract 8499 from both sides: 30x = -17395", "Divide both sides by 30: x = -3479/6"], "final_answer": "-3479/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 1443) + 51789 = -8896", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1443, \"c\": 51789, \"d\": -8896}", "seed": "12864944561763656277", "semantic_fingerprint": "sha256:ce0d5870abbf27fdc6cf7d6bb6655b99792dc01a382815ca7e50eb4d147f5fca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003318", "prompt": "What value of x satisfies -27x - 5292 = x?", "solution_steps": ["Subtract x from both sides: -28x - 5292 = 0", "Add 5292 to both sides: -28x = 5292", "Divide both sides by -28: x = -189"], "final_answer": "-189", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27x - 5292 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"c\": -5292, \"x\": -189}", "seed": "13681865679006358252", "semantic_fingerprint": "sha256:92d38ce73465443c46b24e152e8bb05692370cd4b9538183c8b4fe40651083d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003319", "prompt": "Compute: -59909 + (-9392) * (-4677)", "solution_steps": ["Multiply: -9392 * (-4677) = 43926384", "Add: -59909 + 43926384 = 43866475"], "final_answer": "43866475", "answer_type": "integer", "kind": "expression", "math_text": "-59909 + (-9392) * (-4677)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59909, \"b\": -9392, \"c\": -4677}", "seed": "11906756625910293204", "semantic_fingerprint": "sha256:39404ea54050d65f377e274e1c22500018c66dc302695eabb4661e74df9dc394", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003320", "prompt": "Calculate: 9212 * (-9695)", "solution_steps": ["Multiply: 9212 * (-9695) = -89310340"], "final_answer": "-89310340", "answer_type": "integer", "kind": "expression", "math_text": "9212 * (-9695)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9212, \"b\": -9695}", "seed": "11254199829971968922", "semantic_fingerprint": "sha256:8a359da4c924a28c452b0c54af6d8aaea0d0f413f8459d89099c28068f3ab5d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003321", "prompt": "What is 2342 + (-7277 - (-3948))?", "solution_steps": ["Subtract: -7277 - (-3948) = -3329", "Add: 2342 + (-3329) = -987"], "final_answer": "-987", "answer_type": "integer", "kind": "expression", "math_text": "2342 + (-7277 - (-3948))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2342, \"b\": -7277, \"c\": -3948}", "seed": "15930789463271879203", "semantic_fingerprint": "sha256:1b34c6ff5266048a52c144d16287127e58727a612bf9f43aa770a9015cc8b737", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003322", "prompt": "Solve the equation x = 16(x - 5291) + 3298 for x.", "solution_steps": ["Expand: x = 16x - 84656 + 3298", "Combine constants: x = 16x - 81358", "Subtract 16x from both sides: -15x = -81358", "Divide both sides by -15: x = 81358/15"], "final_answer": "81358/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 16(x - 5291) + 3298", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5291, \"c\": 3298}", "seed": "8089745557870750324", "semantic_fingerprint": "sha256:94946f94d058e8b8523db717abdc7d29c5cfd90e07e5f79ec71fa326fd834b5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003323", "prompt": "Solve the equation 18(x + 75816) = x for x.", "solution_steps": ["Expand: 18x + 1364688 = x", "Subtract x from both sides: 17x + 1364688 = 0", "Subtract 1364688 from both sides: 17x = -1364688", "Divide both sides by 17: x = -1364688/17"], "final_answer": "-1364688/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 75816) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 75816}", "seed": "13950220232428305744", "semantic_fingerprint": "sha256:3952f2875ca3a5c6c88d2b3fce01db93c4a9220dfe27ed280c8d194101392885", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003324", "prompt": "Solve the equation 27x - 1950 = x for x.", "solution_steps": ["Subtract x from both sides: 26x - 1950 = 0", "Add 1950 to both sides: 26x = 1950", "Divide both sides by 26: x = 75"], "final_answer": "75", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 1950 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -1950, \"x\": 75}", "seed": "4507407366607633608", "semantic_fingerprint": "sha256:6d384e7a567408c14367b5505b5823c8bb097488bfb86f49313f1458815487d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003325", "prompt": "Compute: -73224 + 9586 * (-84853) - 86227", "solution_steps": ["Multiply: 9586 * (-84853) = -813400858", "Add: -73224 + (-813400858) = -813474082", "Subtract: -813474082 - 86227 = -813560309"], "final_answer": "-813560309", "answer_type": "integer", "kind": "expression", "math_text": "-73224 + 9586 * (-84853) - 86227", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -73224, \"b\": 9586, \"c\": -84853, \"d\": 86227}", "seed": "9151843471342988138", "semantic_fingerprint": "sha256:c20ada196fe77173eb876f3b82d13fa7c8b97ce6f03d2aeda1ee11c0adde5c10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003326", "prompt": "Compute: 1476 + (-24498)", "solution_steps": ["Add: 1476 + (-24498) = -23022"], "final_answer": "-23022", "answer_type": "integer", "kind": "expression", "math_text": "1476 + (-24498)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1476, \"b\": -24498}", "seed": "10371267653379461369", "semantic_fingerprint": "sha256:c954a9a3eba7f7c504fb5316d58f8429a79f8a4fffaeff22ce8bdc9c5387f790", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003327", "prompt": "Find x: 15(x - 82361) - 5254 = -24(x + 8207) - 32719", "solution_steps": ["Expand: 15x - 1235415 - 5254 = -24(x + 8207) - 32719", "Expand: 15x - 1235415 - 5254 = -24x - 196968 - 32719", "Combine constants: 15x - 1240669 = -24x - 196968 - 32719", "Combine constants: 15x - 1240669 = -24x - 229687", "Add 24x to both sides: 39x - 1240669 = -229687", "Add 1240669 to both sides: 39x = 1010982", "Divide both sides by 39: x = 336994/13"], "final_answer": "336994/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 82361) - 5254 = -24(x + 8207) - 32719", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 82361, \"c\": 5254, \"d\": -24, \"e\": 8207, \"f\": 32719}", "seed": "3183235086196349110", "semantic_fingerprint": "sha256:46a59505fd62730a7f4289fcb7cc9da821fa244df94c915c017896fd3e54b8f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003328", "prompt": "What value of x satisfies x = 17(x - 68948)?", "solution_steps": ["Expand: x = 17x - 1172116", "Subtract 17x from both sides: -16x = -1172116", "Divide both sides by -16: x = 293029/4"], "final_answer": "293029/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17(x - 68948)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 68948}", "seed": "4411963293776560439", "semantic_fingerprint": "sha256:dd5b9cf62e2148adc17e20bc61013c33dd18878231cff584578bc0acbe0da5c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003329", "prompt": "Calculate: 59130 / (-78196) - (-74670)", "solution_steps": ["Divide: 59130 / (-78196) = -29565/39098", "Subtract: -29565/39098 - (-74670) = 2919418095/39098"], "final_answer": "2919418095/39098", "answer_type": "rational", "kind": "expression", "math_text": "59130 / (-78196) - (-74670)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59130, \"b\": -78196, \"c\": -74670}", "seed": "17610411041907558559", "semantic_fingerprint": "sha256:d06e9e3576da69b6ba23488ddf60dd069c031f35337771715c051ee1c3f85b37", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003330", "prompt": "What is -5370 + 6748 * (-5928 + 86441 - (-4251 - (-7262)))?", "solution_steps": ["Add: -5928 + 86441 = 80513", "Subtract: -4251 - (-7262) = 3011", "Subtract: 80513 - 3011 = 77502", "Multiply: 6748 * 77502 = 522983496", "Add: -5370 + 522983496 = 522978126"], "final_answer": "522978126", "answer_type": "integer", "kind": "expression", "math_text": "-5370 + 6748 * (-5928 + 86441 - (-4251 - (-7262)))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (- (+ n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5370, \"b\": 6748, \"c\": -5928, \"d\": 86441, \"e\": -4251, \"f\": -7262}", "seed": "12218332633906319225", "semantic_fingerprint": "sha256:a4c32a4ff07573ef5318bbece9b876dbcf692736bbf351b6dd5b70f19a0b48a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003331", "prompt": "Evaluate: -53015 - (-9335)", "solution_steps": ["Subtract: -53015 - (-9335) = -43680"], "final_answer": "-43680", "answer_type": "integer", "kind": "expression", "math_text": "-53015 - (-9335)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -53015, \"b\": -9335}", "seed": "6002983922104584383", "semantic_fingerprint": "sha256:be594028982d18c47cd67b1b8d2c0610c1810b1f79de5e14add07e021a33c8de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003332", "prompt": "What value of x satisfies 34(x - 7832) = 13(x + 88330) + 8013?", "solution_steps": ["Expand: 34x - 266288 = 13(x + 88330) + 8013", "Expand: 34x - 266288 = 13x + 1148290 + 8013", "Combine constants: 34x - 266288 = 13x + 1156303", "Subtract 13x from both sides: 21x - 266288 = 1156303", "Add 266288 to both sides: 21x = 1422591", "Divide both sides by 21: x = 474197/7"], "final_answer": "474197/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 7832) = 13(x + 88330) + 8013", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7832, \"c\": 13, \"d\": 88330, \"e\": 8013}", "seed": "16901736491497455979", "semantic_fingerprint": "sha256:7da8f1358f4f05c70f5cb3fc514646c407981717ccad4d33e4bac2b190e3990f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003333", "prompt": "Find x: 21x + 20517 = 18870", "solution_steps": ["Subtract 20517 from both sides: 21x = -1647", "Divide both sides by 21: x = -549/7"], "final_answer": "-549/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 20517 = 18870", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 20517, \"c\": 18870}", "seed": "7185250467090650334", "semantic_fingerprint": "sha256:d3465d4693da5f9b04302f423a6af26fa433124105b77a43ec43fbb93d5fdb26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003334", "prompt": "Evaluate: 4400 - 9820 * (-54974)", "solution_steps": ["Multiply: 9820 * (-54974) = -539844680", "Subtract: 4400 - (-539844680) = 539849080"], "final_answer": "539849080", "answer_type": "integer", "kind": "expression", "math_text": "4400 - 9820 * (-54974)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4400, \"b\": 9820, \"c\": -54974}", "seed": "9874782672927536096", "semantic_fingerprint": "sha256:73d9cf1fb531c133f0c3b6147084990955166c3efa81fd098e4e9a437b9153aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003335", "prompt": "What is 1818 * (-4853) / (-6304) - (14450 - 2616) * (-25326)?", "solution_steps": ["Multiply: 1818 * (-4853) = -8822754", "Divide: -8822754 / (-6304) = 4411377/3152", "Subtract: 14450 - 2616 = 11834", "Multiply: 11834 * (-25326) = -299707884", "Subtract: 4411377/3152 - (-299707884) = 944683661745/3152"], "final_answer": "944683661745/3152", "answer_type": "rational", "kind": "expression", "math_text": "1818 * (-4853) / (-6304) - (14450 - 2616) * (-25326)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1818, \"b\": -4853, \"c\": -6304, \"d\": 14450, \"e\": 2616, \"f\": -25326}", "seed": "12869454969548010012", "semantic_fingerprint": "sha256:a7b1c7c0926dd3a14e6e54633f58f925c752ed0137812fa5ad881484cb50c4ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003336", "prompt": "Calculate: -16947 - (-44875)", "solution_steps": ["Subtract: -16947 - (-44875) = 27928"], "final_answer": "27928", "answer_type": "integer", "kind": "expression", "math_text": "-16947 - (-44875)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -16947, \"b\": -44875}", "seed": "662875916509978415", "semantic_fingerprint": "sha256:8d38692a4bf53bbdee7dc41cf711066a2589ddd257cef196adb50c2f9ce60cf6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003337", "prompt": "Calculate: -5807 * 6544 - (-8832)", "solution_steps": ["Multiply: -5807 * 6544 = -38001008", "Subtract: -38001008 - (-8832) = -37992176"], "final_answer": "-37992176", "answer_type": "integer", "kind": "expression", "math_text": "-5807 * 6544 - (-8832)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5807, \"b\": 6544, \"c\": -8832}", "seed": "4629790853773907920", "semantic_fingerprint": "sha256:490651835f9c2edec7d09f9388e48a5c82dd8663323665885e552f3ce18d54d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003338", "prompt": "What value of x satisfies 17(x - 3106) + 1165 = x - 48997?", "solution_steps": ["Expand: 17x - 52802 + 1165 = x - 48997", "Combine constants: 17x - 51637 = x - 48997", "Subtract x from both sides: 16x - 51637 = -48997", "Add 51637 to both sides: 16x = 2640", "Divide both sides by 16: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 3106) + 1165 = x - 48997", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3106, \"c\": 1165, \"e\": -48997, \"x\": 165}", "seed": "6043705347881039566", "semantic_fingerprint": "sha256:1774f4c183d249624a297942fd2a41eea60d44545c305066173339368bab5063", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003339", "prompt": "Compute: 2942 + (4880 + (-60800) * (-5752))", "solution_steps": ["Multiply: -60800 * (-5752) = 349721600", "Add: 4880 + 349721600 = 349726480", "Add: 2942 + 349726480 = 349729422"], "final_answer": "349729422", "answer_type": "integer", "kind": "expression", "math_text": "2942 + (4880 + (-60800) * (-5752))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2942, \"b\": 4880, \"c\": -60800, \"d\": -5752}", "seed": "9697290706387173929", "semantic_fingerprint": "sha256:b2f956ca2f1f69de4808eaf11100f279ea1a31fd8cac858a559b8000460ac676", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003340", "prompt": "What is (-71169 - (68154 + (-2016))) / (3855 + (-5030)) - 7677?", "solution_steps": ["Add: 68154 + (-2016) = 66138", "Subtract: -71169 - 66138 = -137307", "Add: 3855 + (-5030) = -1175", "Divide: -137307 / (-1175) = 137307/1175", "Subtract: 137307/1175 - 7677 = -8883168/1175"], "final_answer": "-8883168/1175", "answer_type": "rational", "kind": "expression", "math_text": "(-71169 - (68154 + (-2016))) / (3855 + (-5030)) - 7677", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n (+ n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -71169, \"b\": 68154, \"c\": -2016, \"d\": 3855, \"e\": -5030, \"f\": 7677}", "seed": "17375146899520314726", "semantic_fingerprint": "sha256:2fd888dcbc481e53823da0903523a495a2f244352f317160661621ad7ea03010", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003341", "prompt": "Calculate: -76945 - (-3227)", "solution_steps": ["Subtract: -76945 - (-3227) = -73718"], "final_answer": "-73718", "answer_type": "integer", "kind": "expression", "math_text": "-76945 - (-3227)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -76945, \"b\": -3227}", "seed": "9402098621581176272", "semantic_fingerprint": "sha256:737050d4a251b1a6fb2417ea8fe30cf6645a4cbb86a85c05c2e0d1ef604218ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003342", "prompt": "Calculate: (-21232 - 8658 - (-9265)) * (-20947 / (-7605) + (-69523))", "solution_steps": ["Subtract: -21232 - 8658 = -29890", "Subtract: -29890 - (-9265) = -20625", "Divide: -20947 / (-7605) = 20947/7605", "Add: 20947/7605 + (-69523) = -528701468/7605", "Multiply: -20625 * (-528701468/7605) = 726964518500/507"], "final_answer": "726964518500/507", "answer_type": "rational", "kind": "expression", "math_text": "(-21232 - 8658 - (-9265)) * (-20947 / (-7605) + (-69523))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21232, \"b\": 8658, \"c\": -9265, \"d\": -20947, \"e\": -7605, \"f\": -69523}", "seed": "13334945793731357950", "semantic_fingerprint": "sha256:d35482a879a3c0704772b554d2dd2834b973b41127468dfcefc8e81276a1f313", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003343", "prompt": "Find x: 21x + 2360 = x", "solution_steps": ["Subtract x from both sides: 20x + 2360 = 0", "Subtract 2360 from both sides: 20x = -2360", "Divide both sides by 20: x = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 2360 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"c\": 2360, \"x\": -118}", "seed": "12407764888259200022", "semantic_fingerprint": "sha256:2e6a4600ce899dd6f16bb4d3c9808bcca7d9b6fc10ab4037d3f49c1c019f1e0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003344", "prompt": "Evaluate: -2283 / (-2229 / (-7911))", "solution_steps": ["Divide: -2229 / (-7911) = 743/2637", "Divide: -2283 / (743/2637) = -6020271/743"], "final_answer": "-6020271/743", "answer_type": "rational", "kind": "expression", "math_text": "-2283 / (-2229 / (-7911))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2283, \"b\": -2229, \"c\": -7911}", "seed": "5230066980857010998", "semantic_fingerprint": "sha256:182e1a1ba8f85643de688a41ac75f6b99118f8570a8686c5683cf29f0bb489ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003345", "prompt": "Evaluate: -8162 / (-4692) * (-99336)", "solution_steps": ["Divide: -8162 / (-4692) = 4081/2346", "Multiply: (4081/2346) * (-99336) = -67565036/391"], "final_answer": "-67565036/391", "answer_type": "rational", "kind": "expression", "math_text": "-8162 / (-4692) * (-99336)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8162, \"b\": -4692, \"c\": -99336}", "seed": "6803977150773360634", "semantic_fingerprint": "sha256:9f464130bf34e450cd0a084d7cc6114ac5dc4947b8202fc939bd78ada9cbba55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003346", "prompt": "Find x: -18x - 5104 = x - 2273", "solution_steps": ["Subtract x from both sides: -19x - 5104 = -2273", "Add 5104 to both sides: -19x = 2831", "Divide both sides by -19: x = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18x - 5104 = x - 2273", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 5104, \"d\": -2273, \"x\": -149}", "seed": "17581953494448307958", "semantic_fingerprint": "sha256:798778183e8929736f9fb88a7e288bb715b60fc2adaa660db87b49504a616cbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003347", "prompt": "Compute: -79854 * 9897 + (-72495 + (-8297) - (-65067)) - 68203", "solution_steps": ["Multiply: -79854 * 9897 = -790315038", "Add: -72495 + (-8297) = -80792", "Subtract: -80792 - (-65067) = -15725", "Add: -790315038 + (-15725) = -790330763", "Subtract: -790330763 - 68203 = -790398966"], "final_answer": "-790398966", "answer_type": "integer", "kind": "expression", "math_text": "-79854 * 9897 + (-72495 + (-8297) - (-65067)) - 68203", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -79854, \"b\": 9897, \"c\": -72495, \"d\": -8297, \"e\": -65067, \"f\": 68203}", "seed": "1337028686558569854", "semantic_fingerprint": "sha256:db575e39ef5163bd1f007adb29a630eb3426978ee3bcc371aae7d65ec148ec90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003348", "prompt": "What is -1187 / (2346 + 54955)?", "solution_steps": ["Add: 2346 + 54955 = 57301", "Divide: -1187 / 57301 = -1187/57301"], "final_answer": "-1187/57301", "answer_type": "rational", "kind": "expression", "math_text": "-1187 / (2346 + 54955)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1187, \"b\": 2346, \"c\": 54955}", "seed": "2934136877720090957", "semantic_fingerprint": "sha256:49f656ec6127126f1378da7791ce6d5d1f3c5a92d84228475300f4950e997b29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003349", "prompt": "Evaluate: -2683 - (-2022)", "solution_steps": ["Subtract: -2683 - (-2022) = -661"], "final_answer": "-661", "answer_type": "integer", "kind": "expression", "math_text": "-2683 - (-2022)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2683, \"b\": -2022}", "seed": "7892376018721306087", "semantic_fingerprint": "sha256:e395865ce7830d1a1ca4347d2501ba22a7217b2bbcbedcd320c525b8c5eef6bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003350", "prompt": "Solve for x: 13(x - 24003) = x", "solution_steps": ["Expand: 13x - 312039 = x", "Subtract x from both sides: 12x - 312039 = 0", "Add 312039 to both sides: 12x = 312039", "Divide both sides by 12: x = 104013/4"], "final_answer": "104013/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 24003) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 24003}", "seed": "4014087344190983931", "semantic_fingerprint": "sha256:e2aa3b6103d88d02b6a14e1b232b267091995b03ba18f48128b65721eb35f3ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003351", "prompt": "Solve the equation x = 16(x + 76652) for x.", "solution_steps": ["Expand: x = 16x + 1226432", "Subtract 16x from both sides: -15x = 1226432", "Divide both sides by -15: x = -1226432/15"], "final_answer": "-1226432/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 16(x + 76652)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 76652}", "seed": "9426683886619349587", "semantic_fingerprint": "sha256:7eec0763694e05a252929558afbc77b7b11221c35c48d0c8cd4dfc943def9c04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003352", "prompt": "What is -4680 - 94713?", "solution_steps": ["Subtract: -4680 - 94713 = -99393"], "final_answer": "-99393", "answer_type": "integer", "kind": "expression", "math_text": "-4680 - 94713", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4680, \"b\": 94713}", "seed": "15780141320876947554", "semantic_fingerprint": "sha256:d2d6d0ef0b5ba67e4b5817021683887be1a396eae17c4795c7600e637e1fbf06", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003353", "prompt": "Find x: x + 2587 = 36(x + 6645) - 55327", "solution_steps": ["Expand: x + 2587 = 36x + 239220 - 55327", "Combine constants: x + 2587 = 36x + 183893", "Subtract 36x from both sides: -35x + 2587 = 183893", "Subtract 2587 from both sides: -35x = 181306", "Divide both sides by -35: x = -181306/35"], "final_answer": "-181306/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2587 = 36(x + 6645) - 55327", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2587, \"b\": 36, \"c\": 6645, \"d\": 55327}", "seed": "7572866272846098876", "semantic_fingerprint": "sha256:429f890a45e598b5f37fd103f2bedc605a552e1434b18d41aa1d9f5375cea3f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003354", "prompt": "Solve for x: x - 8496 = 19(x + 2977) - 61819", "solution_steps": ["Expand: x - 8496 = 19x + 56563 - 61819", "Combine constants: x - 8496 = 19x - 5256", "Subtract 19x from both sides: -18x - 8496 = -5256", "Add 8496 to both sides: -18x = 3240", "Divide both sides by -18: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8496 = 19(x + 2977) - 61819", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8496, \"b\": 19, \"c\": 2977, \"e\": -61819, \"x\": -180}", "seed": "10424111910304830280", "semantic_fingerprint": "sha256:5169cf43ee368472b114e188e7b0e282ef0f5565b4479e485e93da1afc281ba5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003355", "prompt": "Solve the equation 19x = -3629 for x.", "solution_steps": ["Divide both sides by 19: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = -3629", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": -3629, \"x\": -191}", "seed": "1978164348182335619", "semantic_fingerprint": "sha256:d727d85cb356caa33b10d5f5240488c4ef86de480c81d946fab674245170b0d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003356", "prompt": "Find x: 15x = x - 1554", "solution_steps": ["Subtract x from both sides: 14x = -1554", "Divide both sides by 14: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = x - 1554", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": -1554, \"x\": -111}", "seed": "15782367623735018513", "semantic_fingerprint": "sha256:0b2bc6246cc7576b4475c06156a015acbad44d91eb92cc9d830127fba9ef708f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003357", "prompt": "What is -3629 / 63589?", "solution_steps": ["Divide: -3629 / 63589 = -3629/63589"], "final_answer": "-3629/63589", "answer_type": "rational", "kind": "expression", "math_text": "-3629 / 63589", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3629, \"b\": 63589}", "seed": "11465627957359230946", "semantic_fingerprint": "sha256:0d27f30e6b2372334ec6200106183cd45c5bd518242f269689f56e478439c022", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003358", "prompt": "What is -2452 + (88004 - (-5004 - (-45656)) / 1463)?", "solution_steps": ["Subtract: -5004 - (-45656) = 40652", "Divide: 40652 / 1463 = 40652/1463", "Subtract: 88004 - 40652/1463 = 128709200/1463", "Add: -2452 + 128709200/1463 = 125121924/1463"], "final_answer": "125121924/1463", "answer_type": "rational", "kind": "expression", "math_text": "-2452 + (88004 - (-5004 - (-45656)) / 1463)", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2452, \"b\": 88004, \"c\": -5004, \"d\": -45656, \"e\": 1463}", "seed": "5067656310526210712", "semantic_fingerprint": "sha256:31251ef7f3f90ebcc91eda9ce385c43f8ea3d26684704a24999abcd825dda03f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003359", "prompt": "Compute: (5590 + (-1008)) * (1993 * (-9899))", "solution_steps": ["Add: 5590 + (-1008) = 4582", "Multiply: 1993 * (-9899) = -19728707", "Multiply: 4582 * (-19728707) = -90396935474"], "final_answer": "-90396935474", "answer_type": "integer", "kind": "expression", "math_text": "(5590 + (-1008)) * (1993 * (-9899))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5590, \"b\": -1008, \"c\": 1993, \"d\": -9899}", "seed": "3681734757066460922", "semantic_fingerprint": "sha256:1d854891b46d80fa4d5d11ba5bfc7a69a9aa9cc69484c34fef07b32b994216d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003360", "prompt": "Compute: -5974 * 2624 * 35643", "solution_steps": ["Multiply: -5974 * 2624 = -15675776", "Multiply: -15675776 * 35643 = -558731683968"], "final_answer": "-558731683968", "answer_type": "integer", "kind": "expression", "math_text": "-5974 * 2624 * 35643", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5974, \"b\": 2624, \"c\": 35643}", "seed": "17338351169203628375", "semantic_fingerprint": "sha256:59c7d050bfb84fab2ad3299f3a5c4eb4e843dfe3246bf1567bfef486aeb325b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003361", "prompt": "Solve for x: -38(x - 97005) = -40x + 8620", "solution_steps": ["Expand: -38x + 3686190 = -40x + 8620", "Add 40x to both sides: 2x + 3686190 = 8620", "Subtract 3686190 from both sides: 2x = -3677570", "Divide both sides by 2: x = -1838785"], "final_answer": "-1838785", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38(x - 97005) = -40x + 8620", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 97005, \"c\": -40, \"d\": 8620}", "seed": "17316464928700719157", "semantic_fingerprint": "sha256:95934a4128480f7d610f388a12e8d0a64cc87fa8199bbc455d2af9a9fe7c5aeb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003362", "prompt": "Compute: 4853 / (71729 + 1227)", "solution_steps": ["Add: 71729 + 1227 = 72956", "Divide: 4853 / 72956 = 211/3172"], "final_answer": "211/3172", "answer_type": "rational", "kind": "expression", "math_text": "4853 / (71729 + 1227)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4853, \"b\": 71729, \"c\": 1227}", "seed": "7664949203916113997", "semantic_fingerprint": "sha256:9e754f6d5b09a0c4ac293859f1909ca3e778220b6afbae57e08aa03e392c5c83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003363", "prompt": "Compute: -4780 * 2271", "solution_steps": ["Multiply: -4780 * 2271 = -10855380"], "final_answer": "-10855380", "answer_type": "integer", "kind": "expression", "math_text": "-4780 * 2271", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4780, \"b\": 2271}", "seed": "2719496225310192296", "semantic_fingerprint": "sha256:746afb09f2e6f70536f820ae8166cb82c7e7265cf4d45275c63ea87f2e2e9f84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003364", "prompt": "What value of x satisfies 26x - 5549 = -31(x - 7642) + 58719?", "solution_steps": ["Expand: 26x - 5549 = -31x + 236902 + 58719", "Combine constants: 26x - 5549 = -31x + 295621", "Add 31x to both sides: 57x - 5549 = 295621", "Add 5549 to both sides: 57x = 301170", "Divide both sides by 57: x = 100390/19"], "final_answer": "100390/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x - 5549 = -31(x - 7642) + 58719", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 5549, \"c\": -31, \"d\": 7642, \"e\": 58719}", "seed": "8770460659441747019", "semantic_fingerprint": "sha256:d019f8ebc13661b083a3d2d3a71cf565730bdbf4cd740198929748b1ef43e4c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003365", "prompt": "Solve the equation -20x = -40x for x.", "solution_steps": ["Add 40x to both sides: 20x = 0", "Divide both sides by 20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = -40x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": -40}", "seed": "9114614379158226100", "semantic_fingerprint": "sha256:898b1f310451bbe8a86cff56ba8f8a5ae730c531237fa1e5e518232f4fa6fc52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003366", "prompt": "Find x: 33(x + 8396) - 3944 = 22(x + 1318)", "solution_steps": ["Expand: 33x + 277068 - 3944 = 22(x + 1318)", "Expand: 33x + 277068 - 3944 = 22x + 28996", "Combine constants: 33x + 273124 = 22x + 28996", "Subtract 22x from both sides: 11x + 273124 = 28996", "Subtract 273124 from both sides: 11x = -244128", "Divide both sides by 11: x = -244128/11"], "final_answer": "-244128/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 8396) - 3944 = 22(x + 1318)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 8396, \"c\": 3944, \"d\": 22, \"e\": 1318}", "seed": "11745973972912664735", "semantic_fingerprint": "sha256:4b821ebb9c8792362a6460e87adc0fdac7491d3622005aff2b320376576e69d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003367", "prompt": "Solve the equation -13(x + 5634) + 72115 = x - 1771 for x.", "solution_steps": ["Expand: -13x - 73242 + 72115 = x - 1771", "Combine constants: -13x - 1127 = x - 1771", "Subtract x from both sides: -14x - 1127 = -1771", "Add 1127 to both sides: -14x = -644", "Divide both sides by -14: x = 46"], "final_answer": "46", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x + 5634) + 72115 = x - 1771", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5634, \"c\": 72115, \"e\": -1771, \"x\": 46}", "seed": "2607878410429675888", "semantic_fingerprint": "sha256:c144167fd5e2ef0468af72cc2c9a59cb096cc7eb0356a5d66719460ce31daf2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003368", "prompt": "Compute: -23521 - (-6802) - 89521 - (-82130)", "solution_steps": ["Subtract: -23521 - (-6802) = -16719", "Subtract: -16719 - 89521 = -106240", "Subtract: -106240 - (-82130) = -24110"], "final_answer": "-24110", "answer_type": "integer", "kind": "expression", "math_text": "-23521 - (-6802) - 89521 - (-82130)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23521, \"b\": -6802, \"c\": 89521, \"d\": -82130}", "seed": "5780190088661224939", "semantic_fingerprint": "sha256:a43f91f8f38177dcc3f10ba61f57f1df1abc3f66d447a01ce3e09e3df539f969", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003369", "prompt": "Find x: 21x - 45850 = x - 49530", "solution_steps": ["Subtract x from both sides: 20x - 45850 = -49530", "Add 45850 to both sides: 20x = -3680", "Divide both sides by 20: x = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x - 45850 = x - 49530", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 45850, \"d\": -49530, \"x\": -184}", "seed": "5494695298089037327", "semantic_fingerprint": "sha256:febdfb54c0a5ae799ff478535016c211191f223ab1d69f46a1cd6363ee626bfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003370", "prompt": "Evaluate: 3403 / ((-5402 - (-8807)) / 4737)", "solution_steps": ["Subtract: -5402 - (-8807) = 3405", "Divide: 3405 / 4737 = 1135/1579", "Divide: 3403 / (1135/1579) = 5373337/1135"], "final_answer": "5373337/1135", "answer_type": "rational", "kind": "expression", "math_text": "3403 / ((-5402 - (-8807)) / 4737)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3403, \"b\": -5402, \"c\": -8807, \"d\": 4737}", "seed": "4925280529440509769", "semantic_fingerprint": "sha256:876eae3a6911624b8333c8434e14fd24d415201604664f9b5807eb960122e33f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003371", "prompt": "What is 7163 + (-7163) + (-81877)?", "solution_steps": ["Add: 7163 + (-7163) = 0", "Add: 0 + (-81877) = -81877"], "final_answer": "-81877", "answer_type": "integer", "kind": "expression", "math_text": "7163 + (-7163) + (-81877)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7163, \"b\": -7163, \"c\": -81877}", "seed": "15934594159937861144", "semantic_fingerprint": "sha256:4a0a1484e6f556d8129180f7eb55c388596c83ca1b0dd22ad8a2f8df2c802dcc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003372", "prompt": "What is 1383 - 4389 + (-49279) - (-3590) * 5402 / (-54625)?", "solution_steps": ["Subtract: 1383 - 4389 = -3006", "Add: -3006 + (-49279) = -52285", "Multiply: -3590 * 5402 = -19393180", "Divide: -19393180 / (-54625) = 3878636/10925", "Subtract: -52285 - 3878636/10925 = -575092261/10925"], "final_answer": "-575092261/10925", "answer_type": "rational", "kind": "expression", "math_text": "1383 - 4389 + (-49279) - (-3590) * 5402 / (-54625)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1383, \"b\": 4389, \"c\": -49279, \"d\": -3590, \"e\": 5402, \"f\": -54625}", "seed": "6430429833634717113", "semantic_fingerprint": "sha256:09bc39f86d6f7491676c6a92633b7b4fcc9fa4485137b34d56701e08bc4ed76e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003373", "prompt": "Solve for x: 23x + 3126 = 32x + 1587", "solution_steps": ["Subtract 32x from both sides: -9x + 3126 = 1587", "Subtract 3126 from both sides: -9x = -1539", "Divide both sides by -9: x = 171"], "final_answer": "171", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 3126 = 32x + 1587", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3126, \"c\": 32, \"e\": 1587, \"x\": 171}", "seed": "13594135973706010654", "semantic_fingerprint": "sha256:14c672468c83b09f7eda08d91feb4b3a7fee1987547bfdf9ed50d59f8f8985da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003374", "prompt": "Calculate: 8766 * 81528", "solution_steps": ["Multiply: 8766 * 81528 = 714674448"], "final_answer": "714674448", "answer_type": "integer", "kind": "expression", "math_text": "8766 * 81528", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8766, \"b\": 81528}", "seed": "8648362391119223058", "semantic_fingerprint": "sha256:f87923e6056af452c2d59c68e7fab7a488a85a85d60496039438db4d2cb80672", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003375", "prompt": "What is -60436 + (-3257 + (-4343))?", "solution_steps": ["Add: -3257 + (-4343) = -7600", "Add: -60436 + (-7600) = -68036"], "final_answer": "-68036", "answer_type": "integer", "kind": "expression", "math_text": "-60436 + (-3257 + (-4343))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60436, \"b\": -3257, \"c\": -4343}", "seed": "3184871633519555230", "semantic_fingerprint": "sha256:a610e5bdf85a27b93a6a4bf6eaee720442f796783986515e36b590c1fb471f6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003376", "prompt": "Solve the equation x - 24203 = 37(x + 6407) for x.", "solution_steps": ["Expand: x - 24203 = 37x + 237059", "Subtract 37x from both sides: -36x - 24203 = 237059", "Add 24203 to both sides: -36x = 261262", "Divide both sides by -36: x = -130631/18"], "final_answer": "-130631/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 24203 = 37(x + 6407)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24203, \"b\": 37, \"c\": 6407}", "seed": "3689733086641045522", "semantic_fingerprint": "sha256:b40684c9535c5d9df03a6cce423facea4816367a86c539952c6de83f1e0adff7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003377", "prompt": "What is 4427 + (-87690) - 5995?", "solution_steps": ["Add: 4427 + (-87690) = -83263", "Subtract: -83263 - 5995 = -89258"], "final_answer": "-89258", "answer_type": "integer", "kind": "expression", "math_text": "4427 + (-87690) - 5995", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4427, \"b\": -87690, \"c\": 5995}", "seed": "15546148193219742395", "semantic_fingerprint": "sha256:69ef7aeaa385056e4924e912520efb8e5c3846bae6d2cb67c8e799b169b5bdec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003378", "prompt": "Calculate: (-2559 + 27125 / 6170) * (-46346)", "solution_steps": ["Divide: 27125 / 6170 = 5425/1234", "Add: -2559 + 5425/1234 = -3152381/1234", "Multiply: (-3152381/1234) * (-46346) = 73050124913/617"], "final_answer": "73050124913/617", "answer_type": "rational", "kind": "expression", "math_text": "(-2559 + 27125 / 6170) * (-46346)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2559, \"b\": 27125, \"c\": 6170, \"d\": -46346}", "seed": "6534242632035824503", "semantic_fingerprint": "sha256:0424d1676f1a79c15042d6e6dc690940c1db8cdc55deba6ba1ad60b261f6dd74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003379", "prompt": "Evaluate: 9759 + (-6290)", "solution_steps": ["Add: 9759 + (-6290) = 3469"], "final_answer": "3469", "answer_type": "integer", "kind": "expression", "math_text": "9759 + (-6290)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9759, \"b\": -6290}", "seed": "15795806871069988461", "semantic_fingerprint": "sha256:020aabf3f4105a7a2d5ca2d73498c4b3bd7a4dd14e85be218035ba0ce53af3bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003380", "prompt": "Evaluate: 12163 + (-10947) - 68317 / (-28443)", "solution_steps": ["Add: 12163 + (-10947) = 1216", "Divide: 68317 / (-28443) = -68317/28443", "Subtract: 1216 - (-68317/28443) = 34655005/28443"], "final_answer": "34655005/28443", "answer_type": "rational", "kind": "expression", "math_text": "12163 + (-10947) - 68317 / (-28443)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 12163, \"b\": -10947, \"c\": 68317, \"d\": -28443}", "seed": "9862142074430892715", "semantic_fingerprint": "sha256:40d4c97a7c8a49ad4e87ab4f60f75292ff1e39b01c03de73bb2a280ff51bd496", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003381", "prompt": "Compute: 29444 - (-45168 + 22200)", "solution_steps": ["Add: -45168 + 22200 = -22968", "Subtract: 29444 - (-22968) = 52412"], "final_answer": "52412", "answer_type": "integer", "kind": "expression", "math_text": "29444 - (-45168 + 22200)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29444, \"b\": -45168, \"c\": 22200}", "seed": "7776178681620686807", "semantic_fingerprint": "sha256:a248c26ebb3f290f6188092f71a4eca57c0a68dbeaa579c4b5acb3e42d0f2c1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003382", "prompt": "What is (3826 + (-6822)) / (-6764)?", "solution_steps": ["Add: 3826 + (-6822) = -2996", "Divide: -2996 / (-6764) = 749/1691"], "final_answer": "749/1691", "answer_type": "rational", "kind": "expression", "math_text": "(3826 + (-6822)) / (-6764)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3826, \"b\": -6822, \"c\": -6764}", "seed": "2065871048739374300", "semantic_fingerprint": "sha256:f23e56b1309def9c61e9168283d32040bdf3cb489b6113517f1bec8daf29117d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003383", "prompt": "Find x: x - 8106 = 30x - 3756", "solution_steps": ["Subtract 30x from both sides: -29x - 8106 = -3756", "Add 8106 to both sides: -29x = 4350", "Divide both sides by -29: x = -150"], "final_answer": "-150", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8106 = 30x - 3756", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8106, \"b\": 30, \"d\": -3756, \"x\": -150}", "seed": "1121442159387084314", "semantic_fingerprint": "sha256:37673dffb5714ec87eb54a560a51f33c5331eae719e7cf389a8d8d5684d62834", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003384", "prompt": "Compute: -8332 / (10341 / 64715)", "solution_steps": ["Divide: 10341 / 64715 = 10341/64715", "Divide: -8332 / (10341/64715) = -539205380/10341"], "final_answer": "-539205380/10341", "answer_type": "rational", "kind": "expression", "math_text": "-8332 / (10341 / 64715)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8332, \"b\": 10341, \"c\": 64715}", "seed": "10516177608078956824", "semantic_fingerprint": "sha256:6dd4c3ca29337f7820bc0b0a91f9f040666f0a407618cae8d41dec0b4b1034df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003385", "prompt": "Solve for x: 27x - 46683 = x - 45851", "solution_steps": ["Subtract x from both sides: 26x - 46683 = -45851", "Add 46683 to both sides: 26x = 832", "Divide both sides by 26: x = 32"], "final_answer": "32", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 46683 = x - 45851", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 46683, \"d\": -45851, \"x\": 32}", "seed": "8620631509706632780", "semantic_fingerprint": "sha256:06395301c127f1ce85711a6ee39e4c37046153d81d66333ab1fd3166d360e27a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003386", "prompt": "Compute: -63195 * (-7741 - 42623)", "solution_steps": ["Subtract: -7741 - 42623 = -50364", "Multiply: -63195 * (-50364) = 3182752980"], "final_answer": "3182752980", "answer_type": "integer", "kind": "expression", "math_text": "-63195 * (-7741 - 42623)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63195, \"b\": -7741, \"c\": 42623}", "seed": "16855634952238267273", "semantic_fingerprint": "sha256:9d871595ef2045aab4e50052c1071c168d6969cb92b18419e6ce30724b065dcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003387", "prompt": "Calculate: 49889 - 7234", "solution_steps": ["Subtract: 49889 - 7234 = 42655"], "final_answer": "42655", "answer_type": "integer", "kind": "expression", "math_text": "49889 - 7234", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 49889, \"b\": 7234}", "seed": "3398952175894842120", "semantic_fingerprint": "sha256:98b2be311cded85c8159fcf4044922fbba916617f300a57191f082ae8b6cb33e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003388", "prompt": "Evaluate: -91479 + (8196 - 8238)", "solution_steps": ["Subtract: 8196 - 8238 = -42", "Add: -91479 + (-42) = -91521"], "final_answer": "-91521", "answer_type": "integer", "kind": "expression", "math_text": "-91479 + (8196 - 8238)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91479, \"b\": 8196, \"c\": 8238}", "seed": "3356948891455472419", "semantic_fingerprint": "sha256:5ba61710cdc77ef7b5bb24f4815d197d91aaa24e60ab8667b969e644b01a1e75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003389", "prompt": "Evaluate: 7913 - 43814", "solution_steps": ["Subtract: 7913 - 43814 = -35901"], "final_answer": "-35901", "answer_type": "integer", "kind": "expression", "math_text": "7913 - 43814", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7913, \"b\": 43814}", "seed": "17855178273562290487", "semantic_fingerprint": "sha256:a1d94c156782456ea4e62b2273d3ea7e65bfada4ea53047e8464030e95213669", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003390", "prompt": "Calculate: (5364 - 2391) / (-7154 - 2896)", "solution_steps": ["Subtract: 5364 - 2391 = 2973", "Subtract: -7154 - 2896 = -10050", "Divide: 2973 / (-10050) = -991/3350"], "final_answer": "-991/3350", "answer_type": "rational", "kind": "expression", "math_text": "(5364 - 2391) / (-7154 - 2896)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5364, \"b\": 2391, \"c\": -7154, \"d\": 2896}", "seed": "10265983889577816217", "semantic_fingerprint": "sha256:7bf457d03c3cdc323228a028aeb1ef605269a344e9e52c101c3f54f28f8a1cd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003391", "prompt": "What is ((-77835 + (-9164)) * (-1032) + (-79237)) / 90603?", "solution_steps": ["Add: -77835 + (-9164) = -86999", "Multiply: -86999 * (-1032) = 89782968", "Add: 89782968 + (-79237) = 89703731", "Divide: 89703731 / 90603 = 89703731/90603"], "final_answer": "89703731/90603", "answer_type": "rational", "kind": "expression", "math_text": "((-77835 + (-9164)) * (-1032) + (-79237)) / 90603", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -77835, \"b\": -9164, \"c\": -1032, \"d\": -79237, \"e\": 90603}", "seed": "8322464923346694424", "semantic_fingerprint": "sha256:3b756864ac08beeb931b2484c45d1f65810000ac32532551ecd8e7f66ff0890a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003392", "prompt": "Solve the equation x - 9519 = 29(x + 77489) - 8895 for x.", "solution_steps": ["Expand: x - 9519 = 29x + 2247181 - 8895", "Combine constants: x - 9519 = 29x + 2238286", "Subtract 29x from both sides: -28x - 9519 = 2238286", "Add 9519 to both sides: -28x = 2247805", "Divide both sides by -28: x = -321115/4"], "final_answer": "-321115/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9519 = 29(x + 77489) - 8895", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9519, \"b\": 29, \"c\": 77489, \"d\": 8895}", "seed": "16695360387370457271", "semantic_fingerprint": "sha256:57b5789f7c76dd18d195573c3b58a2f15cdabdf6e8276fe96bc781a5a8a7f667", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003393", "prompt": "Compute: 4894 + (-8585)", "solution_steps": ["Add: 4894 + (-8585) = -3691"], "final_answer": "-3691", "answer_type": "integer", "kind": "expression", "math_text": "4894 + (-8585)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4894, \"b\": -8585}", "seed": "16389326758240236426", "semantic_fingerprint": "sha256:ff926beca4315bb79b724bfb126ee587d2e382cc220c564c9bd413ed4adb08ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003394", "prompt": "What value of x satisfies x + 4284 = 4437?", "solution_steps": ["Subtract 4284 from both sides: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4284 = 4437", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4284, \"c\": 4437, \"x\": 153}", "seed": "4965957618011389305", "semantic_fingerprint": "sha256:6cf4714ef3e7ffd1a96504bbf81a99c7207200b41cb8e69939c43119dff64c9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003395", "prompt": "Compute: -65557 - 5347 / 6659 * 67489", "solution_steps": ["Divide: 5347 / 6659 = 5347/6659", "Multiply: (5347/6659) * 67489 = 360863683/6659", "Subtract: -65557 - 360863683/6659 = -797407746/6659"], "final_answer": "-797407746/6659", "answer_type": "rational", "kind": "expression", "math_text": "-65557 - 5347 / 6659 * 67489", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -65557, \"b\": 5347, \"c\": 6659, \"d\": 67489}", "seed": "4451532804330689533", "semantic_fingerprint": "sha256:94aa39e0493a620e441919a8f9e1d53a73105a0ba47bf0c8be0d8ea1a97fb9fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003396", "prompt": "Solve the equation x = 29(x + 9206) - 11599 for x.", "solution_steps": ["Expand: x = 29x + 266974 - 11599", "Combine constants: x = 29x + 255375", "Subtract 29x from both sides: -28x = 255375", "Divide both sides by -28: x = -255375/28"], "final_answer": "-255375/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 29(x + 9206) - 11599", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 9206, \"c\": 11599}", "seed": "4184577317961643250", "semantic_fingerprint": "sha256:5ea5439866d74d188372acb7e130f57e7e78ee4b1125c7de19dee7114a7693d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003397", "prompt": "Evaluate: -14010 + 3894 + 25000", "solution_steps": ["Add: -14010 + 3894 = -10116", "Add: -10116 + 25000 = 14884"], "final_answer": "14884", "answer_type": "integer", "kind": "expression", "math_text": "-14010 + 3894 + 25000", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -14010, \"b\": 3894, \"c\": 25000}", "seed": "8145251143863754137", "semantic_fingerprint": "sha256:a260764b5a7599ceb7666a332f678946a6bae5add54375822a43f355a2fe81af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003398", "prompt": "Calculate: 35819 + 5762", "solution_steps": ["Add: 35819 + 5762 = 41581"], "final_answer": "41581", "answer_type": "integer", "kind": "expression", "math_text": "35819 + 5762", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35819, \"b\": 5762}", "seed": "4983012068799839511", "semantic_fingerprint": "sha256:a5137bb91ebfc0ffc43323e44bfe3f4525a3e88756f038183e7be550415dd14d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003399", "prompt": "Compute: -4956 - (-93549) - (-5447 - 2499 + 7623) - 6142", "solution_steps": ["Subtract: -4956 - (-93549) = 88593", "Subtract: -5447 - 2499 = -7946", "Add: -7946 + 7623 = -323", "Subtract: 88593 - (-323) = 88916", "Subtract: 88916 - 6142 = 82774"], "final_answer": "82774", "answer_type": "integer", "kind": "expression", "math_text": "-4956 - (-93549) - (-5447 - 2499 + 7623) - 6142", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4956, \"b\": -93549, \"c\": -5447, \"d\": 2499, \"e\": 7623, \"f\": 6142}", "seed": "2325799001316176867", "semantic_fingerprint": "sha256:f756302e930854df25cc9f70e35d43ff2b1e15d36915b36bc6759914e38d537f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003400", "prompt": "Evaluate: -18212 * (-73907)", "solution_steps": ["Multiply: -18212 * (-73907) = 1345994284"], "final_answer": "1345994284", "answer_type": "integer", "kind": "expression", "math_text": "-18212 * (-73907)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -18212, \"b\": -73907}", "seed": "4925377469107782370", "semantic_fingerprint": "sha256:993f56339a9bcaac6c31895812efb9ce8e4c190828275adf39ac4c4c57b9397e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003401", "prompt": "Compute: -4450 / (-4363) * 5520", "solution_steps": ["Divide: -4450 / (-4363) = 4450/4363", "Multiply: (4450/4363) * 5520 = 24564000/4363"], "final_answer": "24564000/4363", "answer_type": "rational", "kind": "expression", "math_text": "-4450 / (-4363) * 5520", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4450, \"b\": -4363, \"c\": 5520}", "seed": "4111741126129183425", "semantic_fingerprint": "sha256:3e8cf8532cebc9ea83995570e786cb9947f8d5a8796f0329401cac1ad56ae075", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003402", "prompt": "Evaluate: 3528 + (35134 - (-2980)) * (-39312)", "solution_steps": ["Subtract: 35134 - (-2980) = 38114", "Multiply: 38114 * (-39312) = -1498337568", "Add: 3528 + (-1498337568) = -1498334040"], "final_answer": "-1498334040", "answer_type": "integer", "kind": "expression", "math_text": "3528 + (35134 - (-2980)) * (-39312)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3528, \"b\": 35134, \"c\": -2980, \"d\": -39312}", "seed": "7547133554383494250", "semantic_fingerprint": "sha256:38d0f14de38daedc89fbfe97ee08a52f65453d49d8e940e32af7ddcec0c3f3fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003403", "prompt": "Solve the equation x - 91804 = 26(x - 5704) - 82713 for x.", "solution_steps": ["Expand: x - 91804 = 26x - 148304 - 82713", "Combine constants: x - 91804 = 26x - 231017", "Subtract 26x from both sides: -25x - 91804 = -231017", "Add 91804 to both sides: -25x = -139213", "Divide both sides by -25: x = 139213/25"], "final_answer": "139213/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 91804 = 26(x - 5704) - 82713", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 91804, \"b\": 26, \"c\": 5704, \"d\": 82713}", "seed": "11539139337323807940", "semantic_fingerprint": "sha256:f301ac97aae47eacc9151702e0ad38484944798bec38d5c7b777f5de82559ba3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003404", "prompt": "Compute: -8980 + (-2676) + (-1861) - (-4349)", "solution_steps": ["Add: -8980 + (-2676) = -11656", "Add: -11656 + (-1861) = -13517", "Subtract: -13517 - (-4349) = -9168"], "final_answer": "-9168", "answer_type": "integer", "kind": "expression", "math_text": "-8980 + (-2676) + (-1861) - (-4349)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8980, \"b\": -2676, \"c\": -1861, \"d\": -4349}", "seed": "5933666004570975403", "semantic_fingerprint": "sha256:3f945996ddf1e57d09aded7806267919f878037071e1fc82aef5381e463f6b1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003405", "prompt": "What is -8604 * 9533 / 1662?", "solution_steps": ["Multiply: -8604 * 9533 = -82021932", "Divide: -82021932 / 1662 = -13670322/277"], "final_answer": "-13670322/277", "answer_type": "rational", "kind": "expression", "math_text": "-8604 * 9533 / 1662", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8604, \"b\": 9533, \"c\": 1662}", "seed": "15055696134680497600", "semantic_fingerprint": "sha256:142b39c4bbd416f78b91d169574d87aab1f6346bbedc41fa52a543ddee03d36d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003406", "prompt": "What is 7508 * (23257 + 7331)?", "solution_steps": ["Add: 23257 + 7331 = 30588", "Multiply: 7508 * 30588 = 229654704"], "final_answer": "229654704", "answer_type": "integer", "kind": "expression", "math_text": "7508 * (23257 + 7331)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7508, \"b\": 23257, \"c\": 7331}", "seed": "2991812040548403183", "semantic_fingerprint": "sha256:2603080bb26c463b2fc5b52fc48e7ccb79dbaa632ad167c322c90900b253091c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003407", "prompt": "Solve the equation x - 6561 = 25x for x.", "solution_steps": ["Subtract 25x from both sides: -24x - 6561 = 0", "Add 6561 to both sides: -24x = 6561", "Divide both sides by -24: x = -2187/8"], "final_answer": "-2187/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6561 = 25x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6561, \"b\": 25}", "seed": "3378700471427908899", "semantic_fingerprint": "sha256:5d4e8f686b3059df34cda4d3dd20b2951c59f4a592943ba32f706ee428d1ea23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003408", "prompt": "Compute: 30049 + 6606 + 3203", "solution_steps": ["Add: 30049 + 6606 = 36655", "Add: 36655 + 3203 = 39858"], "final_answer": "39858", "answer_type": "integer", "kind": "expression", "math_text": "30049 + 6606 + 3203", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30049, \"b\": 6606, \"c\": 3203}", "seed": "17364761027592737417", "semantic_fingerprint": "sha256:b7149004b95df5d40f8aa33b18091ba452064da6f1888581e7eb3258716819ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003409", "prompt": "Evaluate: 7500 / 3050", "solution_steps": ["Divide: 7500 / 3050 = 150/61"], "final_answer": "150/61", "answer_type": "rational", "kind": "expression", "math_text": "7500 / 3050", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7500, \"b\": 3050}", "seed": "3733920060581076706", "semantic_fingerprint": "sha256:24116d3f0d1f18d6ed19be0a474788e454376384c6766d63dc638874bde03e93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003410", "prompt": "Solve the equation -39x = x for x.", "solution_steps": ["Subtract x from both sides: -40x = 0", "Divide both sides by -40: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39}", "seed": "3238934203022366104", "semantic_fingerprint": "sha256:85be7d3ed6972f205a8c54401f54695bdd489a52f1758f5a7ba4af3d1a40089b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003411", "prompt": "Compute: -23754 + (12691 - 5882 * (-96985))", "solution_steps": ["Multiply: 5882 * (-96985) = -570465770", "Subtract: 12691 - (-570465770) = 570478461", "Add: -23754 + 570478461 = 570454707"], "final_answer": "570454707", "answer_type": "integer", "kind": "expression", "math_text": "-23754 + (12691 - 5882 * (-96985))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23754, \"b\": 12691, \"c\": 5882, \"d\": -96985}", "seed": "10354951593847116509", "semantic_fingerprint": "sha256:aa8b68dc1f4c5e1ab1e3820310ad3e4daf71a53084a08e3a1e801cccb7668f31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003412", "prompt": "Compute: -41756 - (-5453)", "solution_steps": ["Subtract: -41756 - (-5453) = -36303"], "final_answer": "-36303", "answer_type": "integer", "kind": "expression", "math_text": "-41756 - (-5453)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -41756, \"b\": -5453}", "seed": "150428816087140164", "semantic_fingerprint": "sha256:f2374b0230cc459fc0a3c5a0d0c37c48161cace3a23ff0edd614d02334199014", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003413", "prompt": "Solve for x: 40(x + 1711) = x + 69415", "solution_steps": ["Expand: 40x + 68440 = x + 69415", "Subtract x from both sides: 39x + 68440 = 69415", "Subtract 68440 from both sides: 39x = 975", "Divide both sides by 39: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x + 1711) = x + 69415", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1711, \"d\": 69415, \"x\": 25}", "seed": "4172071549340333810", "semantic_fingerprint": "sha256:45eb9951918e00467977eb24f4ae8b8dd77feebbc3a6314b058fb9b80b0631d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003414", "prompt": "Calculate: (-20525 - 5733) / (-4864)", "solution_steps": ["Subtract: -20525 - 5733 = -26258", "Divide: -26258 / (-4864) = 691/128"], "final_answer": "691/128", "answer_type": "rational", "kind": "expression", "math_text": "(-20525 - 5733) / (-4864)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20525, \"b\": 5733, \"c\": -4864}", "seed": "1702697804837734016", "semantic_fingerprint": "sha256:4741726766278827b1242303451020bce0fa43f114c1019bbca1e9f5aceb9188", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003415", "prompt": "Calculate: 26390 * 5107 - (-3230 + (-8101))", "solution_steps": ["Multiply: 26390 * 5107 = 134773730", "Add: -3230 + (-8101) = -11331", "Subtract: 134773730 - (-11331) = 134785061"], "final_answer": "134785061", "answer_type": "integer", "kind": "expression", "math_text": "26390 * 5107 - (-3230 + (-8101))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26390, \"b\": 5107, \"c\": -3230, \"d\": -8101}", "seed": "53479204224532972", "semantic_fingerprint": "sha256:42db35f8f913dd88c1bdde9bdc756253311322254fbb4c235deea3952a1337e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003416", "prompt": "What is 3152 * (-84713 / (-4157))?", "solution_steps": ["Divide: -84713 / (-4157) = 84713/4157", "Multiply: 3152 * (84713/4157) = 267015376/4157"], "final_answer": "267015376/4157", "answer_type": "rational", "kind": "expression", "math_text": "3152 * (-84713 / (-4157))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3152, \"b\": -84713, \"c\": -4157}", "seed": "8910124294780375940", "semantic_fingerprint": "sha256:0bd447c005e7f6903d4558e302994a818af8c1e3c5f7c3128bdc2c04107a3b76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003417", "prompt": "Calculate: 3349 - (-8962) + (-2635)", "solution_steps": ["Subtract: 3349 - (-8962) = 12311", "Add: 12311 + (-2635) = 9676"], "final_answer": "9676", "answer_type": "integer", "kind": "expression", "math_text": "3349 - (-8962) + (-2635)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3349, \"b\": -8962, \"c\": -2635}", "seed": "1331629360945689516", "semantic_fingerprint": "sha256:7e784cf017460e2a9efae579d4fefe84a9c9a102cceaf6cbc2185ba5431922a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003418", "prompt": "Compute: 77212 - 94286", "solution_steps": ["Subtract: 77212 - 94286 = -17074"], "final_answer": "-17074", "answer_type": "integer", "kind": "expression", "math_text": "77212 - 94286", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 77212, \"b\": 94286}", "seed": "2975699896788113950", "semantic_fingerprint": "sha256:c757e59c8182f7843a129603163a233c54e804eb0f4a1e33c1f2338040fb3288", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003419", "prompt": "What is (-69129 + 17053 + 9258 + 3017) / 1853?", "solution_steps": ["Add: -69129 + 17053 = -52076", "Add: -52076 + 9258 = -42818", "Add: -42818 + 3017 = -39801", "Divide: -39801 / 1853 = -39801/1853"], "final_answer": "-39801/1853", "answer_type": "rational", "kind": "expression", "math_text": "(-69129 + 17053 + 9258 + 3017) / 1853", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -69129, \"b\": 17053, \"c\": 9258, \"d\": 3017, \"e\": 1853}", "seed": "4712566032502823950", "semantic_fingerprint": "sha256:5f1a4b9c13277170c0cb97c2baf20c08e9910b4bffdb5926d4d121c8c53b3d07", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003420", "prompt": "Find x: -27(x - 2584) + 8241 = x + 82965", "solution_steps": ["Expand: -27x + 69768 + 8241 = x + 82965", "Combine constants: -27x + 78009 = x + 82965", "Subtract x from both sides: -28x + 78009 = 82965", "Subtract 78009 from both sides: -28x = 4956", "Divide both sides by -28: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x - 2584) + 8241 = x + 82965", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2584, \"c\": 8241, \"e\": 82965, \"x\": -177}", "seed": "8195166031407905577", "semantic_fingerprint": "sha256:e3400fa00c779e9e97ab3512ba6412be7215369a92a20a38f8d0a5d1642fe54f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003421", "prompt": "Compute: -1243 + (-35904 / 21086 - (72102 + 15973))", "solution_steps": ["Divide: -35904 / 21086 = -17952/10543", "Add: 72102 + 15973 = 88075", "Subtract: -17952/10543 - 88075 = -928592677/10543", "Add: -1243 + (-928592677/10543) = -941697626/10543"], "final_answer": "-941697626/10543", "answer_type": "rational", "kind": "expression", "math_text": "-1243 + (-35904 / 21086 - (72102 + 15973))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1243, \"b\": -35904, \"c\": 21086, \"d\": 72102, \"e\": 15973}", "seed": "16096243921739548952", "semantic_fingerprint": "sha256:2ccc83fbb3fbbcb1c735b35489a88e78291898699ade95d8194cc6ebd70b839d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003422", "prompt": "Calculate: 66290 * 9499 - 6398 + 64811", "solution_steps": ["Multiply: 66290 * 9499 = 629688710", "Subtract: 629688710 - 6398 = 629682312", "Add: 629682312 + 64811 = 629747123"], "final_answer": "629747123", "answer_type": "integer", "kind": "expression", "math_text": "66290 * 9499 - 6398 + 64811", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 66290, \"b\": 9499, \"c\": 6398, \"d\": 64811}", "seed": "3856346864360739965", "semantic_fingerprint": "sha256:e936991f5416ae07553a860cbdd0a25b09957bcb50370c2b3751be5e51f0272e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003423", "prompt": "Calculate: 7644 - (-6701)", "solution_steps": ["Subtract: 7644 - (-6701) = 14345"], "final_answer": "14345", "answer_type": "integer", "kind": "expression", "math_text": "7644 - (-6701)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7644, \"b\": -6701}", "seed": "5253319889131554763", "semantic_fingerprint": "sha256:c51d670a6d0c357e20206aa2db5e0db9c5654f52ee7a30daf4caa265c71cf322", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003424", "prompt": "Solve the equation -31x + 48692 = -25(x + 6999) for x.", "solution_steps": ["Expand: -31x + 48692 = -25x - 174975", "Add 25x to both sides: -6x + 48692 = -174975", "Subtract 48692 from both sides: -6x = -223667", "Divide both sides by -6: x = 223667/6"], "final_answer": "223667/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x + 48692 = -25(x + 6999)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 48692, \"c\": -25, \"d\": 6999}", "seed": "14826620525180641026", "semantic_fingerprint": "sha256:f7a8b1ae81e935f98c9b9de4219bd403767057bca31013dd1d659d1a16e8513f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003425", "prompt": "Evaluate: -74608 - (-9359)", "solution_steps": ["Subtract: -74608 - (-9359) = -65249"], "final_answer": "-65249", "answer_type": "integer", "kind": "expression", "math_text": "-74608 - (-9359)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -74608, \"b\": -9359}", "seed": "811361595468911458", "semantic_fingerprint": "sha256:8fa7cd27fe0382887321227bdae1724de41d089fede7571a561cd6b5d2a2f85d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003426", "prompt": "Compute: -77168 + (-6300) + (-13975 - (-9774))", "solution_steps": ["Add: -77168 + (-6300) = -83468", "Subtract: -13975 - (-9774) = -4201", "Add: -83468 + (-4201) = -87669"], "final_answer": "-87669", "answer_type": "integer", "kind": "expression", "math_text": "-77168 + (-6300) + (-13975 - (-9774))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77168, \"b\": -6300, \"c\": -13975, \"d\": -9774}", "seed": "7244261190471553840", "semantic_fingerprint": "sha256:47bdf9148cb88860e9b96c1bd0cc045cc0af94aed7806cecf2a76260400786c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003427", "prompt": "What is 6650 - (-1743) + (-47987)?", "solution_steps": ["Subtract: 6650 - (-1743) = 8393", "Add: 8393 + (-47987) = -39594"], "final_answer": "-39594", "answer_type": "integer", "kind": "expression", "math_text": "6650 - (-1743) + (-47987)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6650, \"b\": -1743, \"c\": -47987}", "seed": "15703369502416414513", "semantic_fingerprint": "sha256:f6cda6eea244b81bfe68fb85f99078e3ad2dc93191ba0b8bdc08a82e2c343b22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003428", "prompt": "Evaluate: (83089 - (-48594) * (8549 / (-9448))) * (-4750)", "solution_steps": ["Divide: 8549 / (-9448) = -8549/9448", "Multiply: -48594 * (-8549/9448) = 207715053/4724", "Subtract: 83089 - 207715053/4724 = 184797383/4724", "Multiply: (184797383/4724) * (-4750) = -438893784625/2362"], "final_answer": "-438893784625/2362", "answer_type": "rational", "kind": "expression", "math_text": "(83089 - (-48594) * (8549 / (-9448))) * (-4750)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n (/ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 83089, \"b\": -48594, \"c\": 8549, \"d\": -9448, \"e\": -4750}", "seed": "273299116751579428", "semantic_fingerprint": "sha256:6b69e9e723ba012fd8519db37fbf0f752fae58befe830ba980ec8ac9216c0475", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003429", "prompt": "Calculate: -3584 * (-2766 - (-1609 - 5984 + (-7214)))", "solution_steps": ["Subtract: -1609 - 5984 = -7593", "Add: -7593 + (-7214) = -14807", "Subtract: -2766 - (-14807) = 12041", "Multiply: -3584 * 12041 = -43154944"], "final_answer": "-43154944", "answer_type": "integer", "kind": "expression", "math_text": "-3584 * (-2766 - (-1609 - 5984 + (-7214)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (+ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3584, \"b\": -2766, \"c\": -1609, \"d\": 5984, \"e\": -7214}", "seed": "18239820345087277489", "semantic_fingerprint": "sha256:c39613ede9c045c96202c246a9ca8ace60bae0a0ddb381b562f2462639bcfd7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003430", "prompt": "What is -5424 * 1723 - (-6862)?", "solution_steps": ["Multiply: -5424 * 1723 = -9345552", "Subtract: -9345552 - (-6862) = -9338690"], "final_answer": "-9338690", "answer_type": "integer", "kind": "expression", "math_text": "-5424 * 1723 - (-6862)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5424, \"b\": 1723, \"c\": -6862}", "seed": "4213502270843808379", "semantic_fingerprint": "sha256:53a2a624b8b48c604826210e723be32300f1e5f781009518516239be61b79d76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003431", "prompt": "Evaluate: (9341 - (-9024)) * (-99060)", "solution_steps": ["Subtract: 9341 - (-9024) = 18365", "Multiply: 18365 * (-99060) = -1819236900"], "final_answer": "-1819236900", "answer_type": "integer", "kind": "expression", "math_text": "(9341 - (-9024)) * (-99060)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9341, \"b\": -9024, \"c\": -99060}", "seed": "2034290439604524003", "semantic_fingerprint": "sha256:5ca807ef2a30f3b6b1876c862f9a1909e46e7a6eb2b56272894ac0366230b82c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003432", "prompt": "Solve the equation x - 5874 = 33x - 7495 for x.", "solution_steps": ["Subtract 33x from both sides: -32x - 5874 = -7495", "Add 5874 to both sides: -32x = -1621", "Divide both sides by -32: x = 1621/32"], "final_answer": "1621/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5874 = 33x - 7495", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5874, \"b\": 33, \"c\": 7495}", "seed": "2566268699864602044", "semantic_fingerprint": "sha256:ae1cf54c12ac0cd8c1e302fddd370ab76ce70422a7149828c3cbd1194741b723", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003433", "prompt": "Evaluate: 39626 - 1792 + (-35811 + (-9989))", "solution_steps": ["Subtract: 39626 - 1792 = 37834", "Add: -35811 + (-9989) = -45800", "Add: 37834 + (-45800) = -7966"], "final_answer": "-7966", "answer_type": "integer", "kind": "expression", "math_text": "39626 - 1792 + (-35811 + (-9989))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39626, \"b\": 1792, \"c\": -35811, \"d\": -9989}", "seed": "5740229389451147922", "semantic_fingerprint": "sha256:0e71a07077a75ffa9e0333b172364389f73fc7b6eb6e49be3527f319579867a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003434", "prompt": "Evaluate: -38340 / (-2887 / (-3278))", "solution_steps": ["Divide: -2887 / (-3278) = 2887/3278", "Divide: -38340 / (2887/3278) = -125678520/2887"], "final_answer": "-125678520/2887", "answer_type": "rational", "kind": "expression", "math_text": "-38340 / (-2887 / (-3278))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38340, \"b\": -2887, \"c\": -3278}", "seed": "4591253263611922326", "semantic_fingerprint": "sha256:5640b6d241c4209f58a5242c5e59f509e2b957ad048c54e9df2f01e6fe415150", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003435", "prompt": "Compute: -57114 - 34409 + (-5063)", "solution_steps": ["Subtract: -57114 - 34409 = -91523", "Add: -91523 + (-5063) = -96586"], "final_answer": "-96586", "answer_type": "integer", "kind": "expression", "math_text": "-57114 - 34409 + (-5063)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -57114, \"b\": 34409, \"c\": -5063}", "seed": "575885623888321304", "semantic_fingerprint": "sha256:778978cda72226833c7a44ac24856fa48723af4adb0adefe3bf17dfd4504029b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003436", "prompt": "Compute: -7150 - 2407", "solution_steps": ["Subtract: -7150 - 2407 = -9557"], "final_answer": "-9557", "answer_type": "integer", "kind": "expression", "math_text": "-7150 - 2407", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7150, \"b\": 2407}", "seed": "498973457328575734", "semantic_fingerprint": "sha256:bce2c3e0b609bf0a184b6f0f3cf1d2af08a7ec5e5be94414e9db9ff00be1da8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003437", "prompt": "Solve the equation x + 2044 = 29x for x.", "solution_steps": ["Subtract 29x from both sides: -28x + 2044 = 0", "Subtract 2044 from both sides: -28x = -2044", "Divide both sides by -28: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2044 = 29x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 2044, \"x\": 73}", "seed": "9287104054109254693", "semantic_fingerprint": "sha256:071546b2812c677d858e36761e674898a91a85a1ad872fa0deea3c20aadf02f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003438", "prompt": "Evaluate: 7054 / (-85043)", "solution_steps": ["Divide: 7054 / (-85043) = -7054/85043"], "final_answer": "-7054/85043", "answer_type": "rational", "kind": "expression", "math_text": "7054 / (-85043)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7054, \"b\": -85043}", "seed": "5612456226771831275", "semantic_fingerprint": "sha256:caf439c66f6ab17a05e81dab041de4efaa01f192b0e969baa542b6636c438e7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003439", "prompt": "Calculate: -7846 + (26262 - 8288)", "solution_steps": ["Subtract: 26262 - 8288 = 17974", "Add: -7846 + 17974 = 10128"], "final_answer": "10128", "answer_type": "integer", "kind": "expression", "math_text": "-7846 + (26262 - 8288)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7846, \"b\": 26262, \"c\": 8288}", "seed": "8145029082087652165", "semantic_fingerprint": "sha256:fa0f565667ef3371b4c6159f89129d18ba570554edcbc847495e368795560c83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003440", "prompt": "Compute: 2326 - 98746 * (64371 - 9424)", "solution_steps": ["Subtract: 64371 - 9424 = 54947", "Multiply: 98746 * 54947 = 5425796462", "Subtract: 2326 - 5425796462 = -5425794136"], "final_answer": "-5425794136", "answer_type": "integer", "kind": "expression", "math_text": "2326 - 98746 * (64371 - 9424)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2326, \"b\": 98746, \"c\": 64371, \"d\": 9424}", "seed": "18071141032318792845", "semantic_fingerprint": "sha256:9ba8f19fc5cb944d0c5cebf064d89e1b25c89d21318da4b6ae2c6bacbe4d9d83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003441", "prompt": "Compute: -1133 - (-5382) + 1485", "solution_steps": ["Subtract: -1133 - (-5382) = 4249", "Add: 4249 + 1485 = 5734"], "final_answer": "5734", "answer_type": "integer", "kind": "expression", "math_text": "-1133 - (-5382) + 1485", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1133, \"b\": -5382, \"c\": 1485}", "seed": "10580939471585637958", "semantic_fingerprint": "sha256:683351f77d466af5445670e52e0a064202cd76d1180c8c3208e7aa20826168a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003442", "prompt": "Compute: 2101 * 3032", "solution_steps": ["Multiply: 2101 * 3032 = 6370232"], "final_answer": "6370232", "answer_type": "integer", "kind": "expression", "math_text": "2101 * 3032", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2101, \"b\": 3032}", "seed": "5610615742465455585", "semantic_fingerprint": "sha256:29de5629d34490c1440725bd9e606c097a4181dfd4fbc5d28882fbd4c1c24e75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003443", "prompt": "What value of x satisfies -30(x + 53058) + 8002 = 40x - 4400?", "solution_steps": ["Expand: -30x - 1591740 + 8002 = 40x - 4400", "Combine constants: -30x - 1583738 = 40x - 4400", "Subtract 40x from both sides: -70x - 1583738 = -4400", "Add 1583738 to both sides: -70x = 1579338", "Divide both sides by -70: x = -789669/35"], "final_answer": "-789669/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 53058) + 8002 = 40x - 4400", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 53058, \"c\": 8002, \"d\": 40, \"e\": 4400}", "seed": "16571084481838463006", "semantic_fingerprint": "sha256:bed8eb421d872d82ab3d4f8a7097ca55635c255a147bee52915f49ab5b6ce4a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003444", "prompt": "What is 4638 - (28338 + 98238 + 5172)?", "solution_steps": ["Add: 28338 + 98238 = 126576", "Add: 126576 + 5172 = 131748", "Subtract: 4638 - 131748 = -127110"], "final_answer": "-127110", "answer_type": "integer", "kind": "expression", "math_text": "4638 - (28338 + 98238 + 5172)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4638, \"b\": 28338, \"c\": 98238, \"d\": 5172}", "seed": "11843504778672574077", "semantic_fingerprint": "sha256:df6893d1d502038c7994d5e8f820a9fe05b904e2f0364b67f7015bbb21b96308", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003445", "prompt": "Evaluate: -76477 - (-2628) + (-7671)", "solution_steps": ["Subtract: -76477 - (-2628) = -73849", "Add: -73849 + (-7671) = -81520"], "final_answer": "-81520", "answer_type": "integer", "kind": "expression", "math_text": "-76477 - (-2628) + (-7671)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76477, \"b\": -2628, \"c\": -7671}", "seed": "16746175932099215077", "semantic_fingerprint": "sha256:85420343cf21a63b8efa404241fd89ade6eae85e9ab1459d151a248976fb7b80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003446", "prompt": "What is -7770 * 6716 / (4336 - (-47912))?", "solution_steps": ["Multiply: -7770 * 6716 = -52183320", "Subtract: 4336 - (-47912) = 52248", "Divide: -52183320 / 52248 = -310615/311"], "final_answer": "-310615/311", "answer_type": "rational", "kind": "expression", "math_text": "-7770 * 6716 / (4336 - (-47912))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7770, \"b\": 6716, \"c\": 4336, \"d\": -47912}", "seed": "12988738542748896695", "semantic_fingerprint": "sha256:199da64d47eb6333e33fda4f9d56601494b52b8fdc5e030a75d4b5468eaba9c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003447", "prompt": "Compute: 5893 + (-7667) / 7228 + (-54474)", "solution_steps": ["Divide: -7667 / 7228 = -7667/7228", "Add: 5893 + (-7667/7228) = 42586937/7228", "Add: 42586937/7228 + (-54474) = -351151135/7228"], "final_answer": "-351151135/7228", "answer_type": "rational", "kind": "expression", "math_text": "5893 + (-7667) / 7228 + (-54474)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5893, \"b\": -7667, \"c\": 7228, \"d\": -54474}", "seed": "140758121768967703", "semantic_fingerprint": "sha256:dfa7901b9069857bb5c94987967981798746dbd109dda61e055296cecbedfaa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003448", "prompt": "Compute: -1628 * (4601 - 7770 / 76961)", "solution_steps": ["Divide: 7770 / 76961 = 7770/76961", "Subtract: 4601 - 7770/76961 = 354089791/76961", "Multiply: -1628 * (354089791/76961) = -576458179748/76961"], "final_answer": "-576458179748/76961", "answer_type": "rational", "kind": "expression", "math_text": "-1628 * (4601 - 7770 / 76961)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1628, \"b\": 4601, \"c\": 7770, \"d\": 76961}", "seed": "4360719316106773046", "semantic_fingerprint": "sha256:03533ac63a05452fc3fbb021df551a218d08e97c34124415dd7cf60680ed9c72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003449", "prompt": "Compute: (7508 + (66096 + (-60280)) * 56895) / 5538", "solution_steps": ["Add: 66096 + (-60280) = 5816", "Multiply: 5816 * 56895 = 330901320", "Add: 7508 + 330901320 = 330908828", "Divide: 330908828 / 5538 = 165454414/2769"], "final_answer": "165454414/2769", "answer_type": "rational", "kind": "expression", "math_text": "(7508 + (66096 + (-60280)) * 56895) / 5538", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7508, \"b\": 66096, \"c\": -60280, \"d\": 56895, \"e\": 5538}", "seed": "5918243809264117114", "semantic_fingerprint": "sha256:fe287291f6b43c0201c2df9aa749af22c158ec0dc966110a9821e878f624ebf6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003450", "prompt": "Solve for x: 28(x - 5542) - 4362 = 6030", "solution_steps": ["Expand: 28x - 155176 - 4362 = 6030", "Combine constants: 28x - 159538 = 6030", "Add 159538 to both sides: 28x = 165568", "Divide both sides by 28: x = 41392/7"], "final_answer": "41392/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 5542) - 4362 = 6030", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 5542, \"c\": 4362, \"d\": 6030}", "seed": "8318233436505831302", "semantic_fingerprint": "sha256:33a9123ebc9746f0c0a778b81b32a2c5b1b2c09461fa57e3f5c5e87f92ffae2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003451", "prompt": "Calculate: 9654 - (-77589)", "solution_steps": ["Subtract: 9654 - (-77589) = 87243"], "final_answer": "87243", "answer_type": "integer", "kind": "expression", "math_text": "9654 - (-77589)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9654, \"b\": -77589}", "seed": "15226089452803626619", "semantic_fingerprint": "sha256:6df065bdde6cfde0117863331543d9e2c3ff429799617e3418c080799d5a9a79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003452", "prompt": "Solve for x: 19x = 35(x - 10215) + 85087", "solution_steps": ["Expand: 19x = 35x - 357525 + 85087", "Combine constants: 19x = 35x - 272438", "Subtract 35x from both sides: -16x = -272438", "Divide both sides by -16: x = 136219/8"], "final_answer": "136219/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = 35(x - 10215) + 85087", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 35, \"c\": 10215, \"d\": 85087}", "seed": "5145264224515502913", "semantic_fingerprint": "sha256:ad297ddee785b42094590d6b0e32fe95dfba24a9f387e38cff7112780bfc1e8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003453", "prompt": "What is -48726 - 5532 * (6093 * 3032)?", "solution_steps": ["Multiply: 6093 * 3032 = 18473976", "Multiply: 5532 * 18473976 = 102198035232", "Subtract: -48726 - 102198035232 = -102198083958"], "final_answer": "-102198083958", "answer_type": "integer", "kind": "expression", "math_text": "-48726 - 5532 * (6093 * 3032)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48726, \"b\": 5532, \"c\": 6093, \"d\": 3032}", "seed": "7468796478642393619", "semantic_fingerprint": "sha256:48e53ed9f802e845ff04295b044d5493c3c9d79ba48d53f2b00735736cc64e31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003454", "prompt": "What value of x satisfies 14x + 1274 = x?", "solution_steps": ["Subtract x from both sides: 13x + 1274 = 0", "Subtract 1274 from both sides: 13x = -1274", "Divide both sides by 13: x = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 1274 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": 1274, \"x\": -98}", "seed": "7332596140087067019", "semantic_fingerprint": "sha256:3470fda3de3c61eca50c2294eb2fd869d043e06f670ff7ea2a1d2a15cbdf4887", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003455", "prompt": "Evaluate: -70018 + (-73563) / 1172 - 3626", "solution_steps": ["Divide: -73563 / 1172 = -73563/1172", "Add: -70018 + (-73563/1172) = -82134659/1172", "Subtract: -82134659/1172 - 3626 = -86384331/1172"], "final_answer": "-86384331/1172", "answer_type": "rational", "kind": "expression", "math_text": "-70018 + (-73563) / 1172 - 3626", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -70018, \"b\": -73563, \"c\": 1172, \"d\": 3626}", "seed": "7245018387085318702", "semantic_fingerprint": "sha256:ba5f2aaf2872b7c51f81d4a27fed8c6ac44475761177dd121c74a7d4767bac0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003456", "prompt": "Evaluate: -23378 / 3081 - (7640 + (-22952))", "solution_steps": ["Divide: -23378 / 3081 = -23378/3081", "Add: 7640 + (-22952) = -15312", "Subtract: -23378/3081 - (-15312) = 47152894/3081"], "final_answer": "47152894/3081", "answer_type": "rational", "kind": "expression", "math_text": "-23378 / 3081 - (7640 + (-22952))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23378, \"b\": 3081, \"c\": 7640, \"d\": -22952}", "seed": "5834657274438069356", "semantic_fingerprint": "sha256:54d1387d3de54cdcec654ce98f78d6db27d3786d448098d73e1293e58d9bd3f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003457", "prompt": "What is (6457 + 5024) * 9595?", "solution_steps": ["Add: 6457 + 5024 = 11481", "Multiply: 11481 * 9595 = 110160195"], "final_answer": "110160195", "answer_type": "integer", "kind": "expression", "math_text": "(6457 + 5024) * 9595", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6457, \"b\": 5024, \"c\": 9595}", "seed": "15417603486119156968", "semantic_fingerprint": "sha256:2d13e819875f12360c8ea782c5397852bac1e11da669783fa8c132258b071760", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003458", "prompt": "What is -9843 + 33370?", "solution_steps": ["Add: -9843 + 33370 = 23527"], "final_answer": "23527", "answer_type": "integer", "kind": "expression", "math_text": "-9843 + 33370", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9843, \"b\": 33370}", "seed": "14343652206510322866", "semantic_fingerprint": "sha256:a9fd809e17f4b594697752eda508a7bacf27b2ddcef0ef694d5df0b8628438db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003459", "prompt": "Find x: 37(x - 1539) - 13443 = -26x - 77064", "solution_steps": ["Expand: 37x - 56943 - 13443 = -26x - 77064", "Combine constants: 37x - 70386 = -26x - 77064", "Add 26x to both sides: 63x - 70386 = -77064", "Add 70386 to both sides: 63x = -6678", "Divide both sides by 63: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x - 1539) - 13443 = -26x - 77064", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 1539, \"c\": 13443, \"d\": -26, \"f\": -77064, \"x\": -106}", "seed": "540192523885900350", "semantic_fingerprint": "sha256:b69430a92354e63b541065721f35e9c4fcac997a6d1991d2461398f9c012d054", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003460", "prompt": "Evaluate: -39622 / (-9080)", "solution_steps": ["Divide: -39622 / (-9080) = 19811/4540"], "final_answer": "19811/4540", "answer_type": "rational", "kind": "expression", "math_text": "-39622 / (-9080)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39622, \"b\": -9080}", "seed": "536306784764221982", "semantic_fingerprint": "sha256:fa3e698871a2f2eb904dc4ae5d72bbedd28587ffb2a751f25e11285188a2d8e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003461", "prompt": "Calculate: 5763 * (-69119) + (6187 + 8310)", "solution_steps": ["Multiply: 5763 * (-69119) = -398332797", "Add: 6187 + 8310 = 14497", "Add: -398332797 + 14497 = -398318300"], "final_answer": "-398318300", "answer_type": "integer", "kind": "expression", "math_text": "5763 * (-69119) + (6187 + 8310)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5763, \"b\": -69119, \"c\": 6187, \"d\": 8310}", "seed": "12798333401996827561", "semantic_fingerprint": "sha256:732187de4e613693bc1b4bc196f1a5048cfddc28ebd3e860ddceac7d169fef88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003462", "prompt": "What value of x satisfies 32(x - 3713) - 8738 = x - 6333?", "solution_steps": ["Expand: 32x - 118816 - 8738 = x - 6333", "Combine constants: 32x - 127554 = x - 6333", "Subtract x from both sides: 31x - 127554 = -6333", "Add 127554 to both sides: 31x = 121221", "Divide both sides by 31: x = 121221/31"], "final_answer": "121221/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 3713) - 8738 = x - 6333", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3713, \"c\": 8738, \"d\": 6333}", "seed": "7151992051685258101", "semantic_fingerprint": "sha256:f4d55ffb84185bd8b1ea484299c1eff41bf3abddf3c07289b9ee2ef857386a8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003463", "prompt": "Calculate: 4636 * (9930 - 4911)", "solution_steps": ["Subtract: 9930 - 4911 = 5019", "Multiply: 4636 * 5019 = 23268084"], "final_answer": "23268084", "answer_type": "integer", "kind": "expression", "math_text": "4636 * (9930 - 4911)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4636, \"b\": 9930, \"c\": 4911}", "seed": "13112979089422447881", "semantic_fingerprint": "sha256:95d2b1bd14854a51c749db9fce2122582b1aff27a92d7dd5025b2459b4d0302a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003464", "prompt": "Solve the equation 39x + 7575 = 15(x + 6063) - 84978 for x.", "solution_steps": ["Expand: 39x + 7575 = 15x + 90945 - 84978", "Combine constants: 39x + 7575 = 15x + 5967", "Subtract 15x from both sides: 24x + 7575 = 5967", "Subtract 7575 from both sides: 24x = -1608", "Divide both sides by 24: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 7575 = 15(x + 6063) - 84978", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 7575, \"c\": 15, \"d\": 6063, \"f\": -84978, \"x\": -67}", "seed": "15720349098643644137", "semantic_fingerprint": "sha256:b4b398013ccda158da103349d918df88ebf5e1f2410582bf5ad62da83927da2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003465", "prompt": "Find x: x = -30x - 31685", "solution_steps": ["Add 30x to both sides: 31x = -31685", "Divide both sides by 31: x = -31685/31"], "final_answer": "-31685/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -30x - 31685", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 31685}", "seed": "12055348388487143048", "semantic_fingerprint": "sha256:9040248f22d1ea9169c15985ad625312209b0e0c1ab82b92905d599364adb16a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003466", "prompt": "Calculate: -15549 + 3994 - (-2893)", "solution_steps": ["Add: -15549 + 3994 = -11555", "Subtract: -11555 - (-2893) = -8662"], "final_answer": "-8662", "answer_type": "integer", "kind": "expression", "math_text": "-15549 + 3994 - (-2893)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15549, \"b\": 3994, \"c\": -2893}", "seed": "8190570853134621860", "semantic_fingerprint": "sha256:4b76787ee5e62b819ab5b6f1361394781ee2457ea3c76c108dd851650d0f4df4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003467", "prompt": "What is 3664 + (-1324 - (-4567)) / (-3287)?", "solution_steps": ["Subtract: -1324 - (-4567) = 3243", "Divide: 3243 / (-3287) = -3243/3287", "Add: 3664 + (-3243/3287) = 12040325/3287"], "final_answer": "12040325/3287", "answer_type": "rational", "kind": "expression", "math_text": "3664 + (-1324 - (-4567)) / (-3287)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3664, \"b\": -1324, \"c\": -4567, \"d\": -3287}", "seed": "4690009017465887412", "semantic_fingerprint": "sha256:4dd165a394700b2b63f8dfcd7a0570239c358f1b302bb4a82da83d75f76ca4ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003468", "prompt": "Find x: 35(x - 2547) - 84690 = 40x", "solution_steps": ["Expand: 35x - 89145 - 84690 = 40x", "Combine constants: 35x - 173835 = 40x", "Subtract 40x from both sides: -5x - 173835 = 0", "Add 173835 to both sides: -5x = 173835", "Divide both sides by -5: x = -34767"], "final_answer": "-34767", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x - 2547) - 84690 = 40x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2547, \"c\": 84690, \"d\": 40}", "seed": "1844157039819351769", "semantic_fingerprint": "sha256:df9c16f355c5f864d408c95cf0ef08e924c37aa83a469eac2ea756e6384aef6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003469", "prompt": "Find x: -23x + 62548 = 17x - 2592", "solution_steps": ["Subtract 17x from both sides: -40x + 62548 = -2592", "Subtract 62548 from both sides: -40x = -65140", "Divide both sides by -40: x = 3257/2"], "final_answer": "3257/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23x + 62548 = 17x - 2592", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 62548, \"c\": 17, \"d\": 2592}", "seed": "3495800608541117957", "semantic_fingerprint": "sha256:353b4c8a77a07295c5797bc11c22dc067f9fcce6f0f8c21a2d839c362e52c543", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003470", "prompt": "Compute: -2698 + 6491 / (-3798)", "solution_steps": ["Divide: 6491 / (-3798) = -6491/3798", "Add: -2698 + (-6491/3798) = -10253495/3798"], "final_answer": "-10253495/3798", "answer_type": "rational", "kind": "expression", "math_text": "-2698 + 6491 / (-3798)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2698, \"b\": 6491, \"c\": -3798}", "seed": "10911314861449234019", "semantic_fingerprint": "sha256:f165ab498473cffdbbc64a48d79011dd57105b663da34f1da73d74064951d19b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003471", "prompt": "What value of x satisfies 18x = x + 3383?", "solution_steps": ["Subtract x from both sides: 17x = 3383", "Divide both sides by 17: x = 199"], "final_answer": "199", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = x + 3383", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": 3383, \"x\": 199}", "seed": "11369963036833935451", "semantic_fingerprint": "sha256:197cf34926dfe9f92642f96c439a572bee641f801c84bdafdfc38bf06e830bfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003472", "prompt": "Solve the equation 24(x - 1530) - 2206 = 22x for x.", "solution_steps": ["Expand: 24x - 36720 - 2206 = 22x", "Combine constants: 24x - 38926 = 22x", "Subtract 22x from both sides: 2x - 38926 = 0", "Add 38926 to both sides: 2x = 38926", "Divide both sides by 2: x = 19463"], "final_answer": "19463", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 1530) - 2206 = 22x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 1530, \"c\": 2206, \"d\": 22}", "seed": "13668033712447701243", "semantic_fingerprint": "sha256:fcc50b62c1f0162c65ff09adff743d70386bdd3040d56da1dad3c592744ab0f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003473", "prompt": "Evaluate: 14743 - (-86882) * (9667 - (-1583))", "solution_steps": ["Subtract: 9667 - (-1583) = 11250", "Multiply: -86882 * 11250 = -977422500", "Subtract: 14743 - (-977422500) = 977437243"], "final_answer": "977437243", "answer_type": "integer", "kind": "expression", "math_text": "14743 - (-86882) * (9667 - (-1583))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14743, \"b\": -86882, \"c\": 9667, \"d\": -1583}", "seed": "3681206366099385574", "semantic_fingerprint": "sha256:a5df53faa22fd7c9d03fe92bd2f6e3148c2233941cd67408be3acdd20749ecda", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003474", "prompt": "Evaluate: (-30340 - (-33990) - 90853) / (-5078 + 5182)", "solution_steps": ["Subtract: -30340 - (-33990) = 3650", "Subtract: 3650 - 90853 = -87203", "Add: -5078 + 5182 = 104", "Divide: -87203 / 104 = -87203/104"], "final_answer": "-87203/104", "answer_type": "rational", "kind": "expression", "math_text": "(-30340 - (-33990) - 90853) / (-5078 + 5182)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30340, \"b\": -33990, \"c\": 90853, \"d\": -5078, \"e\": 5182}", "seed": "3681617044837606520", "semantic_fingerprint": "sha256:f8244725d61489e37cb6c3a6f78769fa0a0edb8268609a003d98d3925d3373ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003475", "prompt": "Evaluate: 8969 - (-9248) * (-80564)", "solution_steps": ["Multiply: -9248 * (-80564) = 745055872", "Subtract: 8969 - 745055872 = -745046903"], "final_answer": "-745046903", "answer_type": "integer", "kind": "expression", "math_text": "8969 - (-9248) * (-80564)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8969, \"b\": -9248, \"c\": -80564}", "seed": "2036703758978283780", "semantic_fingerprint": "sha256:699b3d4208623d1a725c180a008f066a726e0e147f21cd842bdf9870c9df699f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003476", "prompt": "What value of x satisfies 32(x - 8451) + 6220 = -13x - 84887?", "solution_steps": ["Expand: 32x - 270432 + 6220 = -13x - 84887", "Combine constants: 32x - 264212 = -13x - 84887", "Add 13x to both sides: 45x - 264212 = -84887", "Add 264212 to both sides: 45x = 179325", "Divide both sides by 45: x = 3985"], "final_answer": "3985", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 8451) + 6220 = -13x - 84887", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8451, \"c\": 6220, \"d\": -13, \"e\": 84887}", "seed": "16573577201931446395", "semantic_fingerprint": "sha256:bd52c0572e806bbbbec2b3f7e19ff3ce8df45dea698532003a449752c9d160a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003477", "prompt": "Evaluate: -12577 + (-1566 + (-69538))", "solution_steps": ["Add: -1566 + (-69538) = -71104", "Add: -12577 + (-71104) = -83681"], "final_answer": "-83681", "answer_type": "integer", "kind": "expression", "math_text": "-12577 + (-1566 + (-69538))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12577, \"b\": -1566, \"c\": -69538}", "seed": "10036117060317423779", "semantic_fingerprint": "sha256:b930b4e1f0684d95c4e4f6bbea4dd8429b248079926fc762c6f6da14fc473360", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003478", "prompt": "Compute: -2005 * 4676", "solution_steps": ["Multiply: -2005 * 4676 = -9375380"], "final_answer": "-9375380", "answer_type": "integer", "kind": "expression", "math_text": "-2005 * 4676", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2005, \"b\": 4676}", "seed": "7408942493676000907", "semantic_fingerprint": "sha256:c736ab1df7fcd781e25e22a67fbbd35a671427167c13811d6c2e04cfc503ab68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003479", "prompt": "Solve the equation 28(x - 2338) = x - 69109 for x.", "solution_steps": ["Expand: 28x - 65464 = x - 69109", "Subtract x from both sides: 27x - 65464 = -69109", "Add 65464 to both sides: 27x = -3645", "Divide both sides by 27: x = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x - 2338) = x - 69109", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 2338, \"d\": -69109, \"x\": -135}", "seed": "7113370499330207274", "semantic_fingerprint": "sha256:4966689a67b2873e449c58a81f6ec0be589ea6953bd32e70c0bd2a685958973f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003480", "prompt": "Compute: -6898 + (9368 + (-3493))", "solution_steps": ["Add: 9368 + (-3493) = 5875", "Add: -6898 + 5875 = -1023"], "final_answer": "-1023", "answer_type": "integer", "kind": "expression", "math_text": "-6898 + (9368 + (-3493))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6898, \"b\": 9368, \"c\": -3493}", "seed": "6714905542622109454", "semantic_fingerprint": "sha256:6f13836535d49f73380dc94c8fcb2f91662e31e0f4968e6c6b662f4758f09de7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003481", "prompt": "What is 3967 - (47215 / 4741 + 9211)?", "solution_steps": ["Divide: 47215 / 4741 = 47215/4741", "Add: 47215/4741 + 9211 = 43716566/4741", "Subtract: 3967 - 43716566/4741 = -24909019/4741"], "final_answer": "-24909019/4741", "answer_type": "rational", "kind": "expression", "math_text": "3967 - (47215 / 4741 + 9211)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3967, \"b\": 47215, \"c\": 4741, \"d\": 9211}", "seed": "9264440022949633295", "semantic_fingerprint": "sha256:aaff67befe150d9ef40261a668337b3962490809caf4c1e91c119337007d6b8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003482", "prompt": "What value of x satisfies 22(x - 5514) = 35(x - 5991) + 89079?", "solution_steps": ["Expand: 22x - 121308 = 35(x - 5991) + 89079", "Expand: 22x - 121308 = 35x - 209685 + 89079", "Combine constants: 22x - 121308 = 35x - 120606", "Subtract 35x from both sides: -13x - 121308 = -120606", "Add 121308 to both sides: -13x = 702", "Divide both sides by -13: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x - 5514) = 35(x - 5991) + 89079", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5514, \"c\": 35, \"d\": 5991, \"f\": 89079, \"x\": -54}", "seed": "9976672584475651299", "semantic_fingerprint": "sha256:c3d02ee3e22173aedd24b76644191aa4f75bf6d63a4743994e44e9c9ffcaab4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003483", "prompt": "What is (-5252 + 23396) * (-8417)?", "solution_steps": ["Add: -5252 + 23396 = 18144", "Multiply: 18144 * (-8417) = -152718048"], "final_answer": "-152718048", "answer_type": "integer", "kind": "expression", "math_text": "(-5252 + 23396) * (-8417)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5252, \"b\": 23396, \"c\": -8417}", "seed": "6417183241685728656", "semantic_fingerprint": "sha256:1607dfcf16d5e254c412e1b006ee093b2e45fbb5ccf285763eff0e10f51c02ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003484", "prompt": "Evaluate: 52515 - (3827 - 7761) - (-9095)", "solution_steps": ["Subtract: 3827 - 7761 = -3934", "Subtract: 52515 - (-3934) = 56449", "Subtract: 56449 - (-9095) = 65544"], "final_answer": "65544", "answer_type": "integer", "kind": "expression", "math_text": "52515 - (3827 - 7761) - (-9095)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52515, \"b\": 3827, \"c\": 7761, \"d\": -9095}", "seed": "6248990694511611427", "semantic_fingerprint": "sha256:4b1d963455043d12354109c97a1752f62c31d8cbba283a5e6530265d263de6a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003485", "prompt": "Calculate: 65620 + (-75596) / (-93419)", "solution_steps": ["Divide: -75596 / (-93419) = 75596/93419", "Add: 65620 + 75596/93419 = 6130230376/93419"], "final_answer": "6130230376/93419", "answer_type": "rational", "kind": "expression", "math_text": "65620 + (-75596) / (-93419)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65620, \"b\": -75596, \"c\": -93419}", "seed": "18234897254585801749", "semantic_fingerprint": "sha256:c3a22c815bfee45f12cb125583e573dd35d343ff6f6817a3a068e574bee9c4ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003486", "prompt": "Compute: 5276 / (-1455 - (-13300)) * 26388 + 2605", "solution_steps": ["Subtract: -1455 - (-13300) = 11845", "Divide: 5276 / 11845 = 5276/11845", "Multiply: (5276/11845) * 26388 = 139223088/11845", "Add: 139223088/11845 + 2605 = 170079313/11845"], "final_answer": "170079313/11845", "answer_type": "rational", "kind": "expression", "math_text": "5276 / (-1455 - (-13300)) * 26388 + 2605", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5276, \"b\": -1455, \"c\": -13300, \"d\": 26388, \"e\": 2605}", "seed": "14512940125094093396", "semantic_fingerprint": "sha256:12c838e4708d64307007761915d492fb8795da76de3533c34986da4250242d31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003487", "prompt": "Solve the equation -39x = 38x for x.", "solution_steps": ["Subtract 38x from both sides: -77x = 0", "Divide both sides by -77: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x = 38x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 38}", "seed": "18362579426678353882", "semantic_fingerprint": "sha256:b447855060a90f0cfc240e2488733112346be98b56ba732e30de13cdd8ae8ad2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003488", "prompt": "What is 63876 / 6906 * 32209?", "solution_steps": ["Divide: 63876 / 6906 = 10646/1151", "Multiply: (10646/1151) * 32209 = 342897014/1151"], "final_answer": "342897014/1151", "answer_type": "rational", "kind": "expression", "math_text": "63876 / 6906 * 32209", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63876, \"b\": 6906, \"c\": 32209}", "seed": "7138726341124048370", "semantic_fingerprint": "sha256:94bebcea2525f3ad268ed322514db7acd99ec82abf0844f6ea4d3448f4cf330e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003489", "prompt": "What is (9755 - (-29695) * (-9341) - 95114) / (-2621)?", "solution_steps": ["Multiply: -29695 * (-9341) = 277380995", "Subtract: 9755 - 277380995 = -277371240", "Subtract: -277371240 - 95114 = -277466354", "Divide: -277466354 / (-2621) = 277466354/2621"], "final_answer": "277466354/2621", "answer_type": "rational", "kind": "expression", "math_text": "(9755 - (-29695) * (-9341) - 95114) / (-2621)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9755, \"b\": -29695, \"c\": -9341, \"d\": 95114, \"e\": -2621}", "seed": "4725874675055053404", "semantic_fingerprint": "sha256:1a9ff6d8c502ffac4c75f111d62ef047941e5deb18dccc2da132e825c7b3e816", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003490", "prompt": "Calculate: 93656 * (-19856 + (-85494)) + 2634", "solution_steps": ["Add: -19856 + (-85494) = -105350", "Multiply: 93656 * (-105350) = -9866659600", "Add: -9866659600 + 2634 = -9866656966"], "final_answer": "-9866656966", "answer_type": "integer", "kind": "expression", "math_text": "93656 * (-19856 + (-85494)) + 2634", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93656, \"b\": -19856, \"c\": -85494, \"d\": 2634}", "seed": "6989979582774353681", "semantic_fingerprint": "sha256:238c4fa7aee19315426cc3f41abf78c99cbb7cd8f0b3e4ada30a08e9af26fe72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003491", "prompt": "What is -5386 - (-8499)?", "solution_steps": ["Subtract: -5386 - (-8499) = 3113"], "final_answer": "3113", "answer_type": "integer", "kind": "expression", "math_text": "-5386 - (-8499)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5386, \"b\": -8499}", "seed": "5353613785619144648", "semantic_fingerprint": "sha256:9cc5582d9fb00b946acc028a9b21209f2f8a3b7a298e4a6d8877e8e6b7de9442", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003492", "prompt": "Solve for x: -20x - 46554 = x - 47688", "solution_steps": ["Subtract x from both sides: -21x - 46554 = -47688", "Add 46554 to both sides: -21x = -1134", "Divide both sides by -21: x = 54"], "final_answer": "54", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x - 46554 = x - 47688", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 46554, \"d\": -47688, \"x\": 54}", "seed": "5881213233240306448", "semantic_fingerprint": "sha256:06fb006cd14e5a54e844f9dca29b1a09516537386f35aebe0a3b6c19ad805b04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003493", "prompt": "Compute: 4967 + 9548 - 2563 + (-3151) - (-50936 + 11125)", "solution_steps": ["Add: 4967 + 9548 = 14515", "Subtract: 14515 - 2563 = 11952", "Add: 11952 + (-3151) = 8801", "Add: -50936 + 11125 = -39811", "Subtract: 8801 - (-39811) = 48612"], "final_answer": "48612", "answer_type": "integer", "kind": "expression", "math_text": "4967 + 9548 - 2563 + (-3151) - (-50936 + 11125)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4967, \"b\": 9548, \"c\": 2563, \"d\": -3151, \"e\": -50936, \"f\": 11125}", "seed": "16507934300353042543", "semantic_fingerprint": "sha256:a71b16a7c355ae16e8927249168c68598c40706a04ac653886c94d367eb387c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003494", "prompt": "What is -9307 - 9122 / (-56592)?", "solution_steps": ["Divide: 9122 / (-56592) = -4561/28296", "Subtract: -9307 - (-4561/28296) = -263346311/28296"], "final_answer": "-263346311/28296", "answer_type": "rational", "kind": "expression", "math_text": "-9307 - 9122 / (-56592)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9307, \"b\": 9122, \"c\": -56592}", "seed": "12667735657368835865", "semantic_fingerprint": "sha256:6e072f445e2a51a356efc139c4086a46d5b699f3be52373d8438de028fe23326", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003495", "prompt": "Compute: (38928 - (-1468)) / (-9530)", "solution_steps": ["Subtract: 38928 - (-1468) = 40396", "Divide: 40396 / (-9530) = -20198/4765"], "final_answer": "-20198/4765", "answer_type": "rational", "kind": "expression", "math_text": "(38928 - (-1468)) / (-9530)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38928, \"b\": -1468, \"c\": -9530}", "seed": "8652349232342349476", "semantic_fingerprint": "sha256:e6b1d302f4b658b39c91ec42a39c3d2025ff319fb99fb0860b60f87f553c6934", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003496", "prompt": "Calculate: -9339 - (-90580 - 5785)", "solution_steps": ["Subtract: -90580 - 5785 = -96365", "Subtract: -9339 - (-96365) = 87026"], "final_answer": "87026", "answer_type": "integer", "kind": "expression", "math_text": "-9339 - (-90580 - 5785)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9339, \"b\": -90580, \"c\": 5785}", "seed": "11660480321171711396", "semantic_fingerprint": "sha256:7093bbe34a6f73ecd54010ee408a03604d3b2f66e180d1788a48a224375fec1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003497", "prompt": "Evaluate: (5932 - (-54933)) / (-3058)", "solution_steps": ["Subtract: 5932 - (-54933) = 60865", "Divide: 60865 / (-3058) = -60865/3058"], "final_answer": "-60865/3058", "answer_type": "rational", "kind": "expression", "math_text": "(5932 - (-54933)) / (-3058)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5932, \"b\": -54933, \"c\": -3058}", "seed": "4108274688763796556", "semantic_fingerprint": "sha256:cb99223e13fa32fdeb560edc13e1edbb3e8f3573c32f67916d1995fa2c3fd6b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003498", "prompt": "Calculate: -63321 - (-6158)", "solution_steps": ["Subtract: -63321 - (-6158) = -57163"], "final_answer": "-57163", "answer_type": "integer", "kind": "expression", "math_text": "-63321 - (-6158)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -63321, \"b\": -6158}", "seed": "7353106129759949073", "semantic_fingerprint": "sha256:af38d74f7fb88bd2cc8a572e054b4721a0c4f202d1ae448b355335f79ed7605d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003499", "prompt": "What is (-34391 + (-9495)) / (6732 + 3752 - (-3456))?", "solution_steps": ["Add: -34391 + (-9495) = -43886", "Add: 6732 + 3752 = 10484", "Subtract: 10484 - (-3456) = 13940", "Divide: -43886 / 13940 = -21943/6970"], "final_answer": "-21943/6970", "answer_type": "rational", "kind": "expression", "math_text": "(-34391 + (-9495)) / (6732 + 3752 - (-3456))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34391, \"b\": -9495, \"c\": 6732, \"d\": 3752, \"e\": -3456}", "seed": "2487527989201652327", "semantic_fingerprint": "sha256:ea2e52a197d13f6a89ddcd784806dbabb6ce8b2b2d46bc9ea38ecf6e01deb468", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003500", "prompt": "Solve for x: 33(x - 2371) - 78776 = 29(x - 42841) + 1754", "solution_steps": ["Expand: 33x - 78243 - 78776 = 29(x - 42841) + 1754", "Expand: 33x - 78243 - 78776 = 29x - 1242389 + 1754", "Combine constants: 33x - 157019 = 29x - 1242389 + 1754", "Combine constants: 33x - 157019 = 29x - 1240635", "Subtract 29x from both sides: 4x - 157019 = -1240635", "Add 157019 to both sides: 4x = -1083616", "Divide both sides by 4: x = -270904"], "final_answer": "-270904", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 2371) - 78776 = 29(x - 42841) + 1754", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2371, \"c\": 78776, \"d\": 29, \"e\": 42841, \"f\": 1754}", "seed": "3451117483899964112", "semantic_fingerprint": "sha256:65f6e548ae75c059764e45797a755a76f3367f1f85873ddc454014e9bd238911", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003501", "prompt": "Compute: 7266 * 20960 + 4155", "solution_steps": ["Multiply: 7266 * 20960 = 152295360", "Add: 152295360 + 4155 = 152299515"], "final_answer": "152299515", "answer_type": "integer", "kind": "expression", "math_text": "7266 * 20960 + 4155", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7266, \"b\": 20960, \"c\": 4155}", "seed": "17209359939986701222", "semantic_fingerprint": "sha256:67725394470164850374e5818faffed323c93d6077c887c88cb22c359bd63812", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003502", "prompt": "Calculate: 12195 - (-1955) + (-8525)", "solution_steps": ["Subtract: 12195 - (-1955) = 14150", "Add: 14150 + (-8525) = 5625"], "final_answer": "5625", "answer_type": "integer", "kind": "expression", "math_text": "12195 - (-1955) + (-8525)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12195, \"b\": -1955, \"c\": -8525}", "seed": "15294655676806059472", "semantic_fingerprint": "sha256:22d40aadc26df73c717fb4d3a90a3e1b6c4dcb117b3f974429f830091958101e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003503", "prompt": "Compute: 1580 + 53569 * 4410 - 45697", "solution_steps": ["Multiply: 53569 * 4410 = 236239290", "Add: 1580 + 236239290 = 236240870", "Subtract: 236240870 - 45697 = 236195173"], "final_answer": "236195173", "answer_type": "integer", "kind": "expression", "math_text": "1580 + 53569 * 4410 - 45697", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1580, \"b\": 53569, \"c\": 4410, \"d\": 45697}", "seed": "6056824844474242974", "semantic_fingerprint": "sha256:0297d6ee64c172c75b69b2c977f0247efaf793de17837a34847cdf4c63807e66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003504", "prompt": "Calculate: 9610 - 8536", "solution_steps": ["Subtract: 9610 - 8536 = 1074"], "final_answer": "1074", "answer_type": "integer", "kind": "expression", "math_text": "9610 - 8536", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9610, \"b\": 8536}", "seed": "3214361208188589418", "semantic_fingerprint": "sha256:1dc8dbab6dfa3ed35ab1eee7a2e7c745623157519bdf9bb9c017e336190def25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003505", "prompt": "Solve for x: 37x - 46627 = -20(x - 2368) - 83955", "solution_steps": ["Expand: 37x - 46627 = -20x + 47360 - 83955", "Combine constants: 37x - 46627 = -20x - 36595", "Add 20x to both sides: 57x - 46627 = -36595", "Add 46627 to both sides: 57x = 10032", "Divide both sides by 57: x = 176"], "final_answer": "176", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x - 46627 = -20(x - 2368) - 83955", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 46627, \"c\": -20, \"d\": 2368, \"f\": -83955, \"x\": 176}", "seed": "15747863617826084495", "semantic_fingerprint": "sha256:e2d6a7e5c381afefe7acb79595d9f7ad10be24fa6e3d2eb44771a93a98f2d098", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003506", "prompt": "Evaluate: 6870 / 2669 * 69848", "solution_steps": ["Divide: 6870 / 2669 = 6870/2669", "Multiply: (6870/2669) * 69848 = 479855760/2669"], "final_answer": "479855760/2669", "answer_type": "rational", "kind": "expression", "math_text": "6870 / 2669 * 69848", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6870, \"b\": 2669, \"c\": 69848}", "seed": "8854243364910156461", "semantic_fingerprint": "sha256:e1fedf90d50151853fa0aedb9390385e58c81035a46517e1dd0d2da45325f199", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003507", "prompt": "Evaluate: -7664 + 9029 / 7086", "solution_steps": ["Divide: 9029 / 7086 = 9029/7086", "Add: -7664 + 9029/7086 = -54298075/7086"], "final_answer": "-54298075/7086", "answer_type": "rational", "kind": "expression", "math_text": "-7664 + 9029 / 7086", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7664, \"b\": 9029, \"c\": 7086}", "seed": "11573462113670207081", "semantic_fingerprint": "sha256:87a1ff32fd328cd48a2299306ada2543ec6ea934f13c85f61b652d59651bcdb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003508", "prompt": "What value of x satisfies 28x + 32269 = x + 31054?", "solution_steps": ["Subtract x from both sides: 27x + 32269 = 31054", "Subtract 32269 from both sides: 27x = -1215", "Divide both sides by 27: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 32269 = x + 31054", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 32269, \"d\": 31054, \"x\": -45}", "seed": "17502005349983835025", "semantic_fingerprint": "sha256:a3c913f76488971c0eb2b4eb9896d1a631409ee1597a8270e5f02347601e1317", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003509", "prompt": "Find x: x - 98421 = 21(x + 9859) - 2349", "solution_steps": ["Expand: x - 98421 = 21x + 207039 - 2349", "Combine constants: x - 98421 = 21x + 204690", "Subtract 21x from both sides: -20x - 98421 = 204690", "Add 98421 to both sides: -20x = 303111", "Divide both sides by -20: x = -303111/20"], "final_answer": "-303111/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 98421 = 21(x + 9859) - 2349", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 98421, \"b\": 21, \"c\": 9859, \"d\": 2349}", "seed": "2908491897007250580", "semantic_fingerprint": "sha256:269ac507b612226224511b15566bec8052d3bda0c9e71c1ed0574517245282d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003510", "prompt": "Find x: 23(x + 3791) + 51898 = 33(x + 4177)", "solution_steps": ["Expand: 23x + 87193 + 51898 = 33(x + 4177)", "Expand: 23x + 87193 + 51898 = 33x + 137841", "Combine constants: 23x + 139091 = 33x + 137841", "Subtract 33x from both sides: -10x + 139091 = 137841", "Subtract 139091 from both sides: -10x = -1250", "Divide both sides by -10: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 3791) + 51898 = 33(x + 4177)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3791, \"c\": 33, \"d\": 4177, \"f\": 51898, \"x\": 125}", "seed": "2832662246058336509", "semantic_fingerprint": "sha256:88de2c3de7364b54d46f4ed4a14c8b1a36241196145430dc94099bc43856861f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003511", "prompt": "Compute: -88113 + 1145 - (-2976) * 6900", "solution_steps": ["Add: -88113 + 1145 = -86968", "Multiply: -2976 * 6900 = -20534400", "Subtract: -86968 - (-20534400) = 20447432"], "final_answer": "20447432", "answer_type": "integer", "kind": "expression", "math_text": "-88113 + 1145 - (-2976) * 6900", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -88113, \"b\": 1145, \"c\": -2976, \"d\": 6900}", "seed": "503687489255532666", "semantic_fingerprint": "sha256:0c30e1dd063274ba5f482e2305e8d47cf8c3bbbab3f64b8df69e1a6b54ef578b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003512", "prompt": "Compute: -72117 / (-4102 + (-2476))", "solution_steps": ["Add: -4102 + (-2476) = -6578", "Divide: -72117 / (-6578) = 72117/6578"], "final_answer": "72117/6578", "answer_type": "rational", "kind": "expression", "math_text": "-72117 / (-4102 + (-2476))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72117, \"b\": -4102, \"c\": -2476}", "seed": "437869710017298887", "semantic_fingerprint": "sha256:dee67afb5fe6eb6443e42d7e1d243cb6aae05b33b676dd5aaa461ae91426ce8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003513", "prompt": "Compute: 4289 / (-1015 / 8838)", "solution_steps": ["Divide: -1015 / 8838 = -1015/8838", "Divide: 4289 / (-1015/8838) = -37906182/1015"], "final_answer": "-37906182/1015", "answer_type": "rational", "kind": "expression", "math_text": "4289 / (-1015 / 8838)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4289, \"b\": -1015, \"c\": 8838}", "seed": "863344064983203971", "semantic_fingerprint": "sha256:8dd4bbc31004411320bf82ff5385d65ca58c8b78783fdcb817c8ab897c3d1dbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003514", "prompt": "What is -27268 * (-5121 * (-4808))?", "solution_steps": ["Multiply: -5121 * (-4808) = 24621768", "Multiply: -27268 * 24621768 = -671386369824"], "final_answer": "-671386369824", "answer_type": "integer", "kind": "expression", "math_text": "-27268 * (-5121 * (-4808))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27268, \"b\": -5121, \"c\": -4808}", "seed": "12614110739424121359", "semantic_fingerprint": "sha256:63a52b8adc72a2c1a075f7487e0568254e4ff1431c77f89afbe86f2c3d019fdd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003515", "prompt": "Evaluate: -68160 - (-9481) + (-3570) / (-2280)", "solution_steps": ["Subtract: -68160 - (-9481) = -58679", "Divide: -3570 / (-2280) = 119/76", "Add: -58679 + 119/76 = -4459485/76"], "final_answer": "-4459485/76", "answer_type": "rational", "kind": "expression", "math_text": "-68160 - (-9481) + (-3570) / (-2280)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -68160, \"b\": -9481, \"c\": -3570, \"d\": -2280}", "seed": "8957364820114809064", "semantic_fingerprint": "sha256:2d9003b7cba45e64ad54ac5232a48b00b11d1d7c1a48fbeafd8faef971c3e23e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003516", "prompt": "Compute: -79848 * (-6041)", "solution_steps": ["Multiply: -79848 * (-6041) = 482361768"], "final_answer": "482361768", "answer_type": "integer", "kind": "expression", "math_text": "-79848 * (-6041)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -79848, \"b\": -6041}", "seed": "8022246074491888050", "semantic_fingerprint": "sha256:1894fa16a276d4645694be3f9d2b48e31bbc6db5c7c9c08dfc0c5405f6f80f8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003517", "prompt": "What is 84055 + 4751?", "solution_steps": ["Add: 84055 + 4751 = 88806"], "final_answer": "88806", "answer_type": "integer", "kind": "expression", "math_text": "84055 + 4751", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84055, \"b\": 4751}", "seed": "14432453368022036993", "semantic_fingerprint": "sha256:b2959302f34919560dc694b847790dff381419be1c0fb84b713da5253539f165", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003518", "prompt": "Compute: -84307 * 1219", "solution_steps": ["Multiply: -84307 * 1219 = -102770233"], "final_answer": "-102770233", "answer_type": "integer", "kind": "expression", "math_text": "-84307 * 1219", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -84307, \"b\": 1219}", "seed": "10091154837010046399", "semantic_fingerprint": "sha256:bcc6f4a9aa6fd3b547fbcd1a040a772848575d598ec92dd27cafea675dab75a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003519", "prompt": "Calculate: (-3869 + (-1793)) / 3100 - (-1601)", "solution_steps": ["Add: -3869 + (-1793) = -5662", "Divide: -5662 / 3100 = -2831/1550", "Subtract: -2831/1550 - (-1601) = 2478719/1550"], "final_answer": "2478719/1550", "answer_type": "rational", "kind": "expression", "math_text": "(-3869 + (-1793)) / 3100 - (-1601)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3869, \"b\": -1793, \"c\": 3100, \"d\": -1601}", "seed": "5258344163282895534", "semantic_fingerprint": "sha256:9b0766ccf132c7d22c127d679bd848cab65d3e4254232d1ad4799ef2e4d2dcd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003520", "prompt": "Evaluate: -2961 * 9489", "solution_steps": ["Multiply: -2961 * 9489 = -28096929"], "final_answer": "-28096929", "answer_type": "integer", "kind": "expression", "math_text": "-2961 * 9489", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2961, \"b\": 9489}", "seed": "6571849815877809505", "semantic_fingerprint": "sha256:f17913b5a125b7050a46b5c7d9c97fb8afa78f7dcb0959232b95b5150d1c6ad5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003521", "prompt": "Compute: -23034 / (-1635 + (-1511))", "solution_steps": ["Add: -1635 + (-1511) = -3146", "Divide: -23034 / (-3146) = 1047/143"], "final_answer": "1047/143", "answer_type": "rational", "kind": "expression", "math_text": "-23034 / (-1635 + (-1511))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23034, \"b\": -1635, \"c\": -1511}", "seed": "18340288957786936156", "semantic_fingerprint": "sha256:9d54c049ec8832bbceaa9b178c6de8a56aaf588b7aa0d98e186a54e983e93c52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003522", "prompt": "Calculate: -7845 - (-4613) + (-7761)", "solution_steps": ["Subtract: -7845 - (-4613) = -3232", "Add: -3232 + (-7761) = -10993"], "final_answer": "-10993", "answer_type": "integer", "kind": "expression", "math_text": "-7845 - (-4613) + (-7761)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7845, \"b\": -4613, \"c\": -7761}", "seed": "17318475224449277574", "semantic_fingerprint": "sha256:cca9beec469cfef6d47e4753b878859ab017513bf4311a8b60a04329684187c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003523", "prompt": "What is -90426 / 46525 * (22925 - 45749)?", "solution_steps": ["Divide: -90426 / 46525 = -90426/46525", "Subtract: 22925 - 45749 = -22824", "Multiply: (-90426/46525) * (-22824) = 2063883024/46525"], "final_answer": "2063883024/46525", "answer_type": "rational", "kind": "expression", "math_text": "-90426 / 46525 * (22925 - 45749)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -90426, \"b\": 46525, \"c\": 22925, \"d\": 45749}", "seed": "15454534549959613926", "semantic_fingerprint": "sha256:ad4d6e74bc45f5ffa91a9ef7f0a822db553e0c3c21c09c1e439f352d1d6b9122", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003524", "prompt": "What is 3636 - (-30925) / (-4949)?", "solution_steps": ["Divide: -30925 / (-4949) = 30925/4949", "Subtract: 3636 - 30925/4949 = 17963639/4949"], "final_answer": "17963639/4949", "answer_type": "rational", "kind": "expression", "math_text": "3636 - (-30925) / (-4949)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3636, \"b\": -30925, \"c\": -4949}", "seed": "9204814648472346169", "semantic_fingerprint": "sha256:c13b7c2b471d4f107d7a7c58dbf86a1cdb7e4847e596ee9dceb31ce2ec6ebec3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003525", "prompt": "Compute: -3356 + (-9222)", "solution_steps": ["Add: -3356 + (-9222) = -12578"], "final_answer": "-12578", "answer_type": "integer", "kind": "expression", "math_text": "-3356 + (-9222)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3356, \"b\": -9222}", "seed": "15607166338058207419", "semantic_fingerprint": "sha256:1bfd8ca8fd915a0e392c65e212db8b34a7b3fdda33b23e208f2cb9f0ab91f784", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003526", "prompt": "Calculate: -30073 * 3950 * (-1405)", "solution_steps": ["Multiply: -30073 * 3950 = -118788350", "Multiply: -118788350 * (-1405) = 166897631750"], "final_answer": "166897631750", "answer_type": "integer", "kind": "expression", "math_text": "-30073 * 3950 * (-1405)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30073, \"b\": 3950, \"c\": -1405}", "seed": "8247246121110275911", "semantic_fingerprint": "sha256:6d99cc8e3b780ad682f9470185e574227fb5c06293b5a2589bf31ec442af3da4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003527", "prompt": "Calculate: -66546 + 6723", "solution_steps": ["Add: -66546 + 6723 = -59823"], "final_answer": "-59823", "answer_type": "integer", "kind": "expression", "math_text": "-66546 + 6723", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -66546, \"b\": 6723}", "seed": "7002510969901289896", "semantic_fingerprint": "sha256:2b0a8d31075157079211df0aaa56a38e952cec1319010422b9492d818b410bb2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003528", "prompt": "What value of x satisfies 38(x + 6574) - 62491 = 37x - 56194?", "solution_steps": ["Expand: 38x + 249812 - 62491 = 37x - 56194", "Combine constants: 38x + 187321 = 37x - 56194", "Subtract 37x from both sides: x + 187321 = -56194", "Subtract 187321 from both sides: x = -243515"], "final_answer": "-243515", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 6574) - 62491 = 37x - 56194", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 6574, \"c\": 62491, \"d\": 37, \"e\": 56194}", "seed": "8032321608325447402", "semantic_fingerprint": "sha256:41a277173bf01b7d0179f37ad9ee2f6717cef38cc0cfc216a918472972156215", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003529", "prompt": "Evaluate: -1627 * (-1999)", "solution_steps": ["Multiply: -1627 * (-1999) = 3252373"], "final_answer": "3252373", "answer_type": "integer", "kind": "expression", "math_text": "-1627 * (-1999)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1627, \"b\": -1999}", "seed": "15404906795304484881", "semantic_fingerprint": "sha256:3c4692ef7cbf41fc44d0a6121677cc60b79c4a1078e23e3a00aba19d3098bf88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003530", "prompt": "Compute: -29774 * (95807 / (-4668))", "solution_steps": ["Divide: 95807 / (-4668) = -95807/4668", "Multiply: -29774 * (-95807/4668) = 1426278809/2334"], "final_answer": "1426278809/2334", "answer_type": "rational", "kind": "expression", "math_text": "-29774 * (95807 / (-4668))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29774, \"b\": 95807, \"c\": -4668}", "seed": "2382239321683998513", "semantic_fingerprint": "sha256:f10a4715d5d0429b7a08d3a2a44222431cbbe13bc5061a70589000a9d261378d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003531", "prompt": "Calculate: 16824 + 55356 - (-4203 + (-84804) - (-67566 - 2187))", "solution_steps": ["Add: 16824 + 55356 = 72180", "Add: -4203 + (-84804) = -89007", "Subtract: -67566 - 2187 = -69753", "Subtract: -89007 - (-69753) = -19254", "Subtract: 72180 - (-19254) = 91434"], "final_answer": "91434", "answer_type": "integer", "kind": "expression", "math_text": "16824 + 55356 - (-4203 + (-84804) - (-67566 - 2187))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16824, \"b\": 55356, \"c\": -4203, \"d\": -84804, \"e\": -67566, \"f\": 2187}", "seed": "503143680378564249", "semantic_fingerprint": "sha256:e4a6d065f3e9b2efc727401f286e2cc5da86a89a5531b427a234c09167db5989", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003532", "prompt": "Compute: -79514 / (-2351) * 45669", "solution_steps": ["Divide: -79514 / (-2351) = 79514/2351", "Multiply: (79514/2351) * 45669 = 3631324866/2351"], "final_answer": "3631324866/2351", "answer_type": "rational", "kind": "expression", "math_text": "-79514 / (-2351) * 45669", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79514, \"b\": -2351, \"c\": 45669}", "seed": "17749668996113228158", "semantic_fingerprint": "sha256:184873ee5e6fb357ad3fb58c21bfb5f71df28320db05358d70d5b22f5b700858", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003533", "prompt": "Find x: -29(x - 7719) = -1997", "solution_steps": ["Expand: -29x + 223851 = -1997", "Subtract 223851 from both sides: -29x = -225848", "Divide both sides by -29: x = 225848/29"], "final_answer": "225848/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 7719) = -1997", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 7719, \"c\": -1997}", "seed": "11834946092018349189", "semantic_fingerprint": "sha256:d88ddfd92dd818b348fe47ee7f9cafb0ad07e66bd0583ef88178b9903a76e797", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003534", "prompt": "Solve the equation 24(x - 3598) + 58552 = 37x - 27828 for x.", "solution_steps": ["Expand: 24x - 86352 + 58552 = 37x - 27828", "Combine constants: 24x - 27800 = 37x - 27828", "Subtract 37x from both sides: -13x - 27800 = -27828", "Add 27800 to both sides: -13x = -28", "Divide both sides by -13: x = 28/13"], "final_answer": "28/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 3598) + 58552 = 37x - 27828", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 3598, \"c\": 58552, \"d\": 37, \"e\": 27828}", "seed": "954637461233197698", "semantic_fingerprint": "sha256:38f58165424c62de4df7c3bf6a8c0c185d1e113c021f5ab2f8d90a83e9ec4885", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003535", "prompt": "What value of x satisfies 13x + 76338 = -36(x - 2047)?", "solution_steps": ["Expand: 13x + 76338 = -36x + 73692", "Add 36x to both sides: 49x + 76338 = 73692", "Subtract 76338 from both sides: 49x = -2646", "Divide both sides by 49: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 76338 = -36(x - 2047)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": -36, \"c\": 2047, \"e\": 76338, \"x\": -54}", "seed": "8041392350735632595", "semantic_fingerprint": "sha256:bb1f5836c592de2c4709220f63696c819994ac9bfaf2921a22620cd2508ad2fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003536", "prompt": "Solve the equation 40(x + 1509) = 37x - 5189 for x.", "solution_steps": ["Expand: 40x + 60360 = 37x - 5189", "Subtract 37x from both sides: 3x + 60360 = -5189", "Subtract 60360 from both sides: 3x = -65549", "Divide both sides by 3: x = -65549/3"], "final_answer": "-65549/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 1509) = 37x - 5189", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1509, \"c\": 37, \"d\": 5189}", "seed": "1124147698245441467", "semantic_fingerprint": "sha256:5b50db96fe8293f427ee6336f90f76efc5c3aedb86e4034efe056460c76c8039", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003537", "prompt": "Evaluate: 3263 * (-4692) * 6003", "solution_steps": ["Multiply: 3263 * (-4692) = -15309996", "Multiply: -15309996 * 6003 = -91905905988"], "final_answer": "-91905905988", "answer_type": "integer", "kind": "expression", "math_text": "3263 * (-4692) * 6003", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3263, \"b\": -4692, \"c\": 6003}", "seed": "6125046792146712690", "semantic_fingerprint": "sha256:da4ace95b4d7cce48e79099f417f1d754125495d4c2366d0a0f34e54ecb0950d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003538", "prompt": "Evaluate: 1233 / 5210 * (27895 * 9135 - 3956)", "solution_steps": ["Divide: 1233 / 5210 = 1233/5210", "Multiply: 27895 * 9135 = 254820825", "Subtract: 254820825 - 3956 = 254816869", "Multiply: (1233/5210) * 254816869 = 314189199477/5210"], "final_answer": "314189199477/5210", "answer_type": "rational", "kind": "expression", "math_text": "1233 / 5210 * (27895 * 9135 - 3956)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1233, \"b\": 5210, \"c\": 27895, \"d\": 9135, \"e\": 3956}", "seed": "4898600293381460928", "semantic_fingerprint": "sha256:ef2759275c70dda2397ebec288265e3c0d869082f10e143cbeefc471933468df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003539", "prompt": "Solve for x: 21(x - 5168) = x", "solution_steps": ["Expand: 21x - 108528 = x", "Subtract x from both sides: 20x - 108528 = 0", "Add 108528 to both sides: 20x = 108528", "Divide both sides by 20: x = 27132/5"], "final_answer": "27132/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 5168) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 5168}", "seed": "5048568822191402663", "semantic_fingerprint": "sha256:96073b8292523f999111ebdd8d354d60b4b6d4c3ac3578e9a3814ccaf8b4df77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003540", "prompt": "Compute: -4402 / 18808", "solution_steps": ["Divide: -4402 / 18808 = -2201/9404"], "final_answer": "-2201/9404", "answer_type": "rational", "kind": "expression", "math_text": "-4402 / 18808", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4402, \"b\": 18808}", "seed": "16350838087191767404", "semantic_fingerprint": "sha256:f6563e363396ce7def01b40ca2a8d569b5e74255c29e89a64de5ac621718e3ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003541", "prompt": "What is 9551 * (-4535) + (-81824)?", "solution_steps": ["Multiply: 9551 * (-4535) = -43313785", "Add: -43313785 + (-81824) = -43395609"], "final_answer": "-43395609", "answer_type": "integer", "kind": "expression", "math_text": "9551 * (-4535) + (-81824)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9551, \"b\": -4535, \"c\": -81824}", "seed": "11394807568433386785", "semantic_fingerprint": "sha256:e9790881d6f1068160ce0dfc0f43ea441844acb10e764c56140faf468348202b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003542", "prompt": "Solve the equation -21x - 87705 = x - 88211 for x.", "solution_steps": ["Subtract x from both sides: -22x - 87705 = -88211", "Add 87705 to both sides: -22x = -506", "Divide both sides by -22: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x - 87705 = x - 88211", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 87705, \"d\": -88211, \"x\": 23}", "seed": "8867219281533194021", "semantic_fingerprint": "sha256:7f04699bb09dd9843233cbdd37b51a3d1d64e27c06c25750563c51d99e38a5fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003543", "prompt": "Solve the equation -21(x - 80079) = 35(x + 3057) + 61784 for x.", "solution_steps": ["Expand: -21x + 1681659 = 35(x + 3057) + 61784", "Expand: -21x + 1681659 = 35x + 106995 + 61784", "Combine constants: -21x + 1681659 = 35x + 168779", "Subtract 35x from both sides: -56x + 1681659 = 168779", "Subtract 1681659 from both sides: -56x = -1512880", "Divide both sides by -56: x = 189110/7"], "final_answer": "189110/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 80079) = 35(x + 3057) + 61784", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 80079, \"c\": 35, \"d\": 3057, \"e\": 61784}", "seed": "1497299435275425314", "semantic_fingerprint": "sha256:f41f6c354f5bb58260e1afa1eb18dd2d1914a9f45cca65e2810ba81f5899217e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003544", "prompt": "Calculate: (-71712 / (-93726) + (-14520)) / 3237", "solution_steps": ["Divide: -71712 / (-93726) = 3984/5207", "Add: 3984/5207 + (-14520) = -75601656/5207", "Divide: (-75601656/5207) / 3237 = -1938504/432181"], "final_answer": "-1938504/432181", "answer_type": "rational", "kind": "expression", "math_text": "(-71712 / (-93726) + (-14520)) / 3237", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71712, \"b\": -93726, \"c\": -14520, \"d\": 3237}", "seed": "12630217714740490048", "semantic_fingerprint": "sha256:cbe57c52f674040790c23660c066cb8256b06176117ab47a7b2edbbf75125ffa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003545", "prompt": "What is (4755 - (-9624 + 96647)) * (-8375) - (-6091 - (-6967))?", "solution_steps": ["Add: -9624 + 96647 = 87023", "Subtract: 4755 - 87023 = -82268", "Multiply: -82268 * (-8375) = 688994500", "Subtract: -6091 - (-6967) = 876", "Subtract: 688994500 - 876 = 688993624"], "final_answer": "688993624", "answer_type": "integer", "kind": "expression", "math_text": "(4755 - (-9624 + 96647)) * (-8375) - (-6091 - (-6967))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4755, \"b\": -9624, \"c\": 96647, \"d\": -8375, \"e\": -6091, \"f\": -6967}", "seed": "5293170020021145105", "semantic_fingerprint": "sha256:1a5f27c992fe596bb95cd6322469e22120b5e82a0a545ab96c41509222bd8bc4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003546", "prompt": "What value of x satisfies x - 99966 = -38x - 88605?", "solution_steps": ["Add 38x to both sides: 39x - 99966 = -88605", "Add 99966 to both sides: 39x = 11361", "Divide both sides by 39: x = 3787/13"], "final_answer": "3787/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 99966 = -38x - 88605", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 99966, \"b\": -38, \"c\": 88605}", "seed": "14558192916378808555", "semantic_fingerprint": "sha256:d7225df338bbe78681199d962559a103107190d40b9e643b87d0abed30171d7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003547", "prompt": "Solve the equation x - 5683 = 35x - 2181 for x.", "solution_steps": ["Subtract 35x from both sides: -34x - 5683 = -2181", "Add 5683 to both sides: -34x = 3502", "Divide both sides by -34: x = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5683 = 35x - 2181", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5683, \"b\": 35, \"d\": -2181, \"x\": -103}", "seed": "333256736916493982", "semantic_fingerprint": "sha256:b39dc352a66d0fefa7d0e982fb4a52df17e6c9697849537b2cbbe17158fd1bab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003548", "prompt": "Solve for x: 31(x + 56177) - 6462 = x", "solution_steps": ["Expand: 31x + 1741487 - 6462 = x", "Combine constants: 31x + 1735025 = x", "Subtract x from both sides: 30x + 1735025 = 0", "Subtract 1735025 from both sides: 30x = -1735025", "Divide both sides by 30: x = -347005/6"], "final_answer": "-347005/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 56177) - 6462 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 56177, \"c\": 6462}", "seed": "3675309723742336", "semantic_fingerprint": "sha256:ba857758a7ed02ac38ce9f992e7c48b71ebe0f2636636ffb178b3917aecfec01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003549", "prompt": "What is -5335 / 3092 + (-1252 - 46250)?", "solution_steps": ["Divide: -5335 / 3092 = -5335/3092", "Subtract: -1252 - 46250 = -47502", "Add: -5335/3092 + (-47502) = -146881519/3092"], "final_answer": "-146881519/3092", "answer_type": "rational", "kind": "expression", "math_text": "-5335 / 3092 + (-1252 - 46250)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5335, \"b\": 3092, \"c\": -1252, \"d\": 46250}", "seed": "1239906501976730736", "semantic_fingerprint": "sha256:970fa1cddd3df2ab4e99f4d937309daf262fb4791435ea95e6a859f1d0adcdc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003550", "prompt": "Calculate: -5941 + (1232 / 61175 + 9147)", "solution_steps": ["Divide: 1232 / 61175 = 1232/61175", "Add: 1232/61175 + 9147 = 559568957/61175", "Add: -5941 + 559568957/61175 = 196128282/61175"], "final_answer": "196128282/61175", "answer_type": "rational", "kind": "expression", "math_text": "-5941 + (1232 / 61175 + 9147)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5941, \"b\": 1232, \"c\": 61175, \"d\": 9147}", "seed": "215868111922052838", "semantic_fingerprint": "sha256:a384ecad756ec898ebc4bdca0f9c146b0359c6d08ad06ef445ed8a4eb66729af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003551", "prompt": "Solve for x: 15(x + 6892) - 1803 = 19(x - 10115)", "solution_steps": ["Expand: 15x + 103380 - 1803 = 19(x - 10115)", "Expand: 15x + 103380 - 1803 = 19x - 192185", "Combine constants: 15x + 101577 = 19x - 192185", "Subtract 19x from both sides: -4x + 101577 = -192185", "Subtract 101577 from both sides: -4x = -293762", "Divide both sides by -4: x = 146881/2"], "final_answer": "146881/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 6892) - 1803 = 19(x - 10115)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 6892, \"c\": 1803, \"d\": 19, \"e\": 10115}", "seed": "13286802108713386938", "semantic_fingerprint": "sha256:23715455d418ec36465c0ef27008a289250a7e797981e8f0f51509845963755b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003552", "prompt": "What is -25481 + 3280 / 34631?", "solution_steps": ["Divide: 3280 / 34631 = 3280/34631", "Add: -25481 + 3280/34631 = -882429231/34631"], "final_answer": "-882429231/34631", "answer_type": "rational", "kind": "expression", "math_text": "-25481 + 3280 / 34631", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25481, \"b\": 3280, \"c\": 34631}", "seed": "10089089961289057693", "semantic_fingerprint": "sha256:625e8fe3e8cc122c56557c6e6f7044f11d23af39e194f0cbc25b1226a5b76f63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003553", "prompt": "What value of x satisfies -37x - 84067 = -81218?", "solution_steps": ["Add 84067 to both sides: -37x = 2849", "Divide both sides by -37: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x - 84067 = -81218", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 84067, \"d\": -81218, \"x\": -77}", "seed": "16182049202389236948", "semantic_fingerprint": "sha256:d58823a19322fa62b083853787225049afc48c4c0464321b18c63c586ad0ce10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003554", "prompt": "Evaluate: -22502 * (-27002)", "solution_steps": ["Multiply: -22502 * (-27002) = 607599004"], "final_answer": "607599004", "answer_type": "integer", "kind": "expression", "math_text": "-22502 * (-27002)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -22502, \"b\": -27002}", "seed": "501492039526112833", "semantic_fingerprint": "sha256:4d151fa2c7a034a700117389630d5368c4ade5985a557897d2875b296f2cea80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003555", "prompt": "What is 5293 - 40004?", "solution_steps": ["Subtract: 5293 - 40004 = -34711"], "final_answer": "-34711", "answer_type": "integer", "kind": "expression", "math_text": "5293 - 40004", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5293, \"b\": 40004}", "seed": "7485091502741646970", "semantic_fingerprint": "sha256:1cdc5965bcccd146d9fe54b1a74047e2a08772fcf2cc55cb6d62a380ad84a33b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003556", "prompt": "Calculate: (-6325 + 4020) * (-4825 / 31739)", "solution_steps": ["Add: -6325 + 4020 = -2305", "Divide: -4825 / 31739 = -4825/31739", "Multiply: -2305 * (-4825/31739) = 11121625/31739"], "final_answer": "11121625/31739", "answer_type": "rational", "kind": "expression", "math_text": "(-6325 + 4020) * (-4825 / 31739)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6325, \"b\": 4020, \"c\": -4825, \"d\": 31739}", "seed": "15235011441681155083", "semantic_fingerprint": "sha256:daff691f9aac7b041bb9224638d1229096f5c9e944ab7002791f123f3f345f1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003557", "prompt": "Evaluate: (-5298 + 6724) * (-6937)", "solution_steps": ["Add: -5298 + 6724 = 1426", "Multiply: 1426 * (-6937) = -9892162"], "final_answer": "-9892162", "answer_type": "integer", "kind": "expression", "math_text": "(-5298 + 6724) * (-6937)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5298, \"b\": 6724, \"c\": -6937}", "seed": "7839034252243546760", "semantic_fingerprint": "sha256:f493168d77fc4585e6b8fd545032addc0142cf6d3baf9d7f1f764611a492ffd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003558", "prompt": "Calculate: 23626 * 1562 / 5767", "solution_steps": ["Multiply: 23626 * 1562 = 36903812", "Divide: 36903812 / 5767 = 36903812/5767"], "final_answer": "36903812/5767", "answer_type": "rational", "kind": "expression", "math_text": "23626 * 1562 / 5767", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23626, \"b\": 1562, \"c\": 5767}", "seed": "4832215848562965868", "semantic_fingerprint": "sha256:031c4d350fb77ca87d668bad1e6c6eb1f55340c99b41325b14bd87bbd239ea1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003559", "prompt": "Evaluate: -6741 + (-3044) * (-4934) / 42713", "solution_steps": ["Multiply: -3044 * (-4934) = 15019096", "Divide: 15019096 / 42713 = 15019096/42713", "Add: -6741 + 15019096/42713 = -272909237/42713"], "final_answer": "-272909237/42713", "answer_type": "rational", "kind": "expression", "math_text": "-6741 + (-3044) * (-4934) / 42713", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6741, \"b\": -3044, \"c\": -4934, \"d\": 42713}", "seed": "6636161146379636227", "semantic_fingerprint": "sha256:e3f5720c695d25614a640e7f547e72cb6e11dcae5797b3189caf44b3a7591814", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003560", "prompt": "What value of x satisfies 40(x - 35309) - 50844 = x?", "solution_steps": ["Expand: 40x - 1412360 - 50844 = x", "Combine constants: 40x - 1463204 = x", "Subtract x from both sides: 39x - 1463204 = 0", "Add 1463204 to both sides: 39x = 1463204", "Divide both sides by 39: x = 1463204/39"], "final_answer": "1463204/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 35309) - 50844 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 35309, \"c\": 50844}", "seed": "4837132330579164129", "semantic_fingerprint": "sha256:4b4af32548b5404a93f719925aebaeca17e9d825673c412d9d31c1c02f81e73d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003561", "prompt": "What is 7179 - 98543 * (-92528)?", "solution_steps": ["Multiply: 98543 * (-92528) = -9117986704", "Subtract: 7179 - (-9117986704) = 9117993883"], "final_answer": "9117993883", "answer_type": "integer", "kind": "expression", "math_text": "7179 - 98543 * (-92528)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7179, \"b\": 98543, \"c\": -92528}", "seed": "16757184334439329584", "semantic_fingerprint": "sha256:9e5b8c90ac4a24ee3d180698e495c6e9e8590e01514f080449fd3ee8bd18c694", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003562", "prompt": "Evaluate: 8988 / 9643", "solution_steps": ["Divide: 8988 / 9643 = 8988/9643"], "final_answer": "8988/9643", "answer_type": "rational", "kind": "expression", "math_text": "8988 / 9643", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8988, \"b\": 9643}", "seed": "6678473674699548312", "semantic_fingerprint": "sha256:672eb47f01ea6f17955aaf60534e5c7d10d6a617cb01c9bf27a39b37666f3cd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003563", "prompt": "Compute: 88157 - 93792 / (-13568)", "solution_steps": ["Divide: 93792 / (-13568) = -2931/424", "Subtract: 88157 - (-2931/424) = 37381499/424"], "final_answer": "37381499/424", "answer_type": "rational", "kind": "expression", "math_text": "88157 - 93792 / (-13568)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88157, \"b\": 93792, \"c\": -13568}", "seed": "3204819905159865975", "semantic_fingerprint": "sha256:28de9a08c37679fae691dbd4379fe3bf40755c440ae393241a92a06dea1cbdd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003564", "prompt": "Compute: -76621 * 11573", "solution_steps": ["Multiply: -76621 * 11573 = -886734833"], "final_answer": "-886734833", "answer_type": "integer", "kind": "expression", "math_text": "-76621 * 11573", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -76621, \"b\": 11573}", "seed": "18322446707564581488", "semantic_fingerprint": "sha256:2a9868e9789d21f6a542efa9e06c9ec0ce6586b6185deb967a26159db3c3b9a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003565", "prompt": "Compute: 4103 / (-2702 + 46366)", "solution_steps": ["Add: -2702 + 46366 = 43664", "Divide: 4103 / 43664 = 4103/43664"], "final_answer": "4103/43664", "answer_type": "rational", "kind": "expression", "math_text": "4103 / (-2702 + 46366)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4103, \"b\": -2702, \"c\": 46366}", "seed": "4422055578382069988", "semantic_fingerprint": "sha256:c748ed46aaca70ca2350a9d638a56713aaa1a93f110e84ffc4a760184b7f29b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003566", "prompt": "What is (28994 + (-86895)) * (-7047 - (-15058))?", "solution_steps": ["Add: 28994 + (-86895) = -57901", "Subtract: -7047 - (-15058) = 8011", "Multiply: -57901 * 8011 = -463844911"], "final_answer": "-463844911", "answer_type": "integer", "kind": "expression", "math_text": "(28994 + (-86895)) * (-7047 - (-15058))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28994, \"b\": -86895, \"c\": -7047, \"d\": -15058}", "seed": "12579772885953833812", "semantic_fingerprint": "sha256:1b2a0b4e57afb8abb539ff16411341efdcfc0cbeb4bb6456b9fdc2f7e59f5a09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003567", "prompt": "Compute: -12954 / (4019 + (5494 - (4698 + (16257 - (-7168)))))", "solution_steps": ["Subtract: 16257 - (-7168) = 23425", "Add: 4698 + 23425 = 28123", "Subtract: 5494 - 28123 = -22629", "Add: 4019 + (-22629) = -18610", "Divide: -12954 / (-18610) = 6477/9305"], "final_answer": "6477/9305", "answer_type": "rational", "kind": "expression", "math_text": "-12954 / (4019 + (5494 - (4698 + (16257 - (-7168)))))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (- n (+ n (- n n)))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -12954, \"b\": 4019, \"c\": 5494, \"d\": 4698, \"e\": 16257, \"f\": -7168}", "seed": "11085539253906521014", "semantic_fingerprint": "sha256:c4bd5b8f92da121d7c6e5fb17eb0a4830f1c2240ee24e50e71e36d8c21bd9d5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003568", "prompt": "Solve the equation 19x + 22778 = 37x + 24524 for x.", "solution_steps": ["Subtract 37x from both sides: -18x + 22778 = 24524", "Subtract 22778 from both sides: -18x = 1746", "Divide both sides by -18: x = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 22778 = 37x + 24524", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 22778, \"c\": 37, \"e\": 24524, \"x\": -97}", "seed": "13777517981545119599", "semantic_fingerprint": "sha256:50bc079dd96860021cfca5387c48e24bc861f3adabc21627e93950862ba348ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003569", "prompt": "Compute: (-5462 + (-5477) - (-20104)) * (2275 - (-3898))", "solution_steps": ["Add: -5462 + (-5477) = -10939", "Subtract: -10939 - (-20104) = 9165", "Subtract: 2275 - (-3898) = 6173", "Multiply: 9165 * 6173 = 56575545"], "final_answer": "56575545", "answer_type": "integer", "kind": "expression", "math_text": "(-5462 + (-5477) - (-20104)) * (2275 - (-3898))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5462, \"b\": -5477, \"c\": -20104, \"d\": 2275, \"e\": -3898}", "seed": "3794164854529027292", "semantic_fingerprint": "sha256:bdeebd6af81ca17a5cf879657828594844d40f0b57a89bd6787cb7d79f45403e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003570", "prompt": "What is 73351 - (-1456) / 30310?", "solution_steps": ["Divide: -1456 / 30310 = -104/2165", "Subtract: 73351 - (-104/2165) = 158805019/2165"], "final_answer": "158805019/2165", "answer_type": "rational", "kind": "expression", "math_text": "73351 - (-1456) / 30310", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73351, \"b\": -1456, \"c\": 30310}", "seed": "377001181587968468", "semantic_fingerprint": "sha256:96f0acea39c24b6d5a6501cf7cf14bc2d8e1d4571a84e9cf6333ab10c4cc50a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003571", "prompt": "Evaluate: -2929 - (-44037) / (-87006)", "solution_steps": ["Divide: -44037 / (-87006) = 14679/29002", "Subtract: -2929 - 14679/29002 = -84961537/29002"], "final_answer": "-84961537/29002", "answer_type": "rational", "kind": "expression", "math_text": "-2929 - (-44037) / (-87006)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2929, \"b\": -44037, \"c\": -87006}", "seed": "10558636336847392722", "semantic_fingerprint": "sha256:f3ad5161facaf7b1320bcf3e311ad453bec7f4addca876b9556a44397b8ba675", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003572", "prompt": "Solve for x: 18(x - 2273) - 5308 = -49048", "solution_steps": ["Expand: 18x - 40914 - 5308 = -49048", "Combine constants: 18x - 46222 = -49048", "Add 46222 to both sides: 18x = -2826", "Divide both sides by 18: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 2273) - 5308 = -49048", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2273, \"c\": 5308, \"e\": -49048, \"x\": -157}", "seed": "5757640999342773666", "semantic_fingerprint": "sha256:e4b4efe2363ef01ee0c3d44dccf34a6e7862b9522e7f2518bcffb600eef517b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003573", "prompt": "Find x: 22(x + 3650) - 6992 = -38(x - 4104) - 76104", "solution_steps": ["Expand: 22x + 80300 - 6992 = -38(x - 4104) - 76104", "Expand: 22x + 80300 - 6992 = -38x + 155952 - 76104", "Combine constants: 22x + 73308 = -38x + 155952 - 76104", "Combine constants: 22x + 73308 = -38x + 79848", "Add 38x to both sides: 60x + 73308 = 79848", "Subtract 73308 from both sides: 60x = 6540", "Divide both sides by 60: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 3650) - 6992 = -38(x - 4104) - 76104", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3650, \"c\": 6992, \"d\": -38, \"e\": 4104, \"g\": -76104, \"x\": 109}", "seed": "10757212245390000968", "semantic_fingerprint": "sha256:e8698fecae05931342e68597c2e4c034b96fdb40bbf06bff07bba1afa58d168f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003574", "prompt": "Compute: (2457 + 63825 / (-6894)) * (-2917) + (-1982 - 9224)", "solution_steps": ["Divide: 63825 / (-6894) = -21275/2298", "Add: 2457 + (-21275/2298) = 5624911/2298", "Multiply: (5624911/2298) * (-2917) = -16407865387/2298", "Subtract: -1982 - 9224 = -11206", "Add: -16407865387/2298 + (-11206) = -16433616775/2298"], "final_answer": "-16433616775/2298", "answer_type": "rational", "kind": "expression", "math_text": "(2457 + 63825 / (-6894)) * (-2917) + (-1982 - 9224)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2457, \"b\": 63825, \"c\": -6894, \"d\": -2917, \"e\": -1982, \"f\": 9224}", "seed": "5627095611494001972", "semantic_fingerprint": "sha256:81e051b10c4988915653de1ebebd3b2e91564090c2deae7999ce1eb51d066ea0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003575", "prompt": "Compute: 46243 * 4115", "solution_steps": ["Multiply: 46243 * 4115 = 190289945"], "final_answer": "190289945", "answer_type": "integer", "kind": "expression", "math_text": "46243 * 4115", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46243, \"b\": 4115}", "seed": "15014580280000711501", "semantic_fingerprint": "sha256:03be593d5e1d09188969e9ccfda6219d87a65604d45390956dea249e61ad385d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003576", "prompt": "What value of x satisfies x = 28(x + 9079) - 6479?", "solution_steps": ["Expand: x = 28x + 254212 - 6479", "Combine constants: x = 28x + 247733", "Subtract 28x from both sides: -27x = 247733", "Divide both sides by -27: x = -247733/27"], "final_answer": "-247733/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x + 9079) - 6479", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 9079, \"c\": 6479}", "seed": "7082173208878239122", "semantic_fingerprint": "sha256:da61cc892097452aa9fc7086eb0851463c3ad393806e53effce66b829bfc8162", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003577", "prompt": "What value of x satisfies x - 54336 = -67474?", "solution_steps": ["Add 54336 to both sides: x = -13138"], "final_answer": "-13138", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 54336 = -67474", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54336, \"b\": -67474}", "seed": "7781359213026143808", "semantic_fingerprint": "sha256:ce8c931be3620efa5999ef851e6e9f0399537c9d144c274f1504cc63e24f3a22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003578", "prompt": "What value of x satisfies x - 9877 = 25(x + 1046)?", "solution_steps": ["Expand: x - 9877 = 25x + 26150", "Subtract 25x from both sides: -24x - 9877 = 26150", "Add 9877 to both sides: -24x = 36027", "Divide both sides by -24: x = -12009/8"], "final_answer": "-12009/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9877 = 25(x + 1046)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9877, \"b\": 25, \"c\": 1046}", "seed": "14847278555614106903", "semantic_fingerprint": "sha256:ad788a28aec3ffad0caa6c68509886fc3c95df5c1d8fefe245124d2ef477809a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003579", "prompt": "Find x: -31(x + 8945) - 2757 = 37x + 29961", "solution_steps": ["Expand: -31x - 277295 - 2757 = 37x + 29961", "Combine constants: -31x - 280052 = 37x + 29961", "Subtract 37x from both sides: -68x - 280052 = 29961", "Add 280052 to both sides: -68x = 310013", "Divide both sides by -68: x = -310013/68"], "final_answer": "-310013/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 8945) - 2757 = 37x + 29961", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8945, \"c\": 2757, \"d\": 37, \"e\": 29961}", "seed": "2193403392751161511", "semantic_fingerprint": "sha256:7908bec1cf8c38f75f54b29593be7b883fab9e9b829f759d29805a11d4eb342d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003580", "prompt": "What is -28259 + 2581?", "solution_steps": ["Add: -28259 + 2581 = -25678"], "final_answer": "-25678", "answer_type": "integer", "kind": "expression", "math_text": "-28259 + 2581", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -28259, \"b\": 2581}", "seed": "6029904246814085744", "semantic_fingerprint": "sha256:ceff38863b8e1625d49d5d2b5f77928247d9c7be8a383643598baec1982f8cb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003581", "prompt": "Evaluate: 73745 + 7024", "solution_steps": ["Add: 73745 + 7024 = 80769"], "final_answer": "80769", "answer_type": "integer", "kind": "expression", "math_text": "73745 + 7024", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 73745, \"b\": 7024}", "seed": "3198616193203186745", "semantic_fingerprint": "sha256:5b7626d4046ac8f29330c04ad66ee71d89ff411e6bb6aeae5b9141eded52d502", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003582", "prompt": "What is 2863 - (95464 + 9579)?", "solution_steps": ["Add: 95464 + 9579 = 105043", "Subtract: 2863 - 105043 = -102180"], "final_answer": "-102180", "answer_type": "integer", "kind": "expression", "math_text": "2863 - (95464 + 9579)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2863, \"b\": 95464, \"c\": 9579}", "seed": "7228941073292592576", "semantic_fingerprint": "sha256:798fef2d0f89f7a81ecd77e6c0f5e3c8c8286ae46c14d09c2e7e3e0f72b1d9bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003583", "prompt": "Find x: -32x - 23032 = 35(x - 3855) + 2401", "solution_steps": ["Expand: -32x - 23032 = 35x - 134925 + 2401", "Combine constants: -32x - 23032 = 35x - 132524", "Subtract 35x from both sides: -67x - 23032 = -132524", "Add 23032 to both sides: -67x = -109492", "Divide both sides by -67: x = 109492/67"], "final_answer": "109492/67", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x - 23032 = 35(x - 3855) + 2401", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 23032, \"c\": 35, \"d\": 3855, \"e\": 2401}", "seed": "7173263366598891897", "semantic_fingerprint": "sha256:f10b0404aaec6a00f744bc8282fab7f85edf6cc1153927eff3e8a24175200b91", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003584", "prompt": "Find x: 35(x - 39511) = x + 42301", "solution_steps": ["Expand: 35x - 1382885 = x + 42301", "Subtract x from both sides: 34x - 1382885 = 42301", "Add 1382885 to both sides: 34x = 1425186", "Divide both sides by 34: x = 712593/17"], "final_answer": "712593/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 39511) = x + 42301", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 39511, \"c\": 42301}", "seed": "5146722972117260417", "semantic_fingerprint": "sha256:1b9fede4bcbedf7baaa4120d27dad946df910345d6b6768e0bee3f52a08a466a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003585", "prompt": "Solve the equation 16(x - 26378) - 5973 = -8072 for x.", "solution_steps": ["Expand: 16x - 422048 - 5973 = -8072", "Combine constants: 16x - 428021 = -8072", "Add 428021 to both sides: 16x = 419949", "Divide both sides by 16: x = 419949/16"], "final_answer": "419949/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 26378) - 5973 = -8072", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 26378, \"c\": 5973, \"d\": -8072}", "seed": "7381827851533380715", "semantic_fingerprint": "sha256:0c067f077496446af6760d524777af55d9281d48af4fc1edc2027c01eb2e90ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003586", "prompt": "Calculate: 15606 - 4770", "solution_steps": ["Subtract: 15606 - 4770 = 10836"], "final_answer": "10836", "answer_type": "integer", "kind": "expression", "math_text": "15606 - 4770", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 15606, \"b\": 4770}", "seed": "15029153258254798609", "semantic_fingerprint": "sha256:017c183334e44e6a3c6fd6c7d7e6659006e37089313ac698a6f9df9bfc0de34b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003587", "prompt": "What is 2420 * (-2873)?", "solution_steps": ["Multiply: 2420 * (-2873) = -6952660"], "final_answer": "-6952660", "answer_type": "integer", "kind": "expression", "math_text": "2420 * (-2873)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2420, \"b\": -2873}", "seed": "1201676345423226089", "semantic_fingerprint": "sha256:98618baa04a816e95fe185e2b9d5df2c9a436b7ce0a568e8ca9c7fc712e77b3d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003588", "prompt": "Find x: 40(x - 8019) = 34x", "solution_steps": ["Expand: 40x - 320760 = 34x", "Subtract 34x from both sides: 6x - 320760 = 0", "Add 320760 to both sides: 6x = 320760", "Divide both sides by 6: x = 53460"], "final_answer": "53460", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 8019) = 34x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 8019, \"c\": 34}", "seed": "2548503260644735104", "semantic_fingerprint": "sha256:2fdb7b3876ed80783c2b94fd733bd5e34e4aaeb6aafa99cb7ae15440ad56e6dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003589", "prompt": "What value of x satisfies -32(x - 3953) = -24803?", "solution_steps": ["Expand: -32x + 126496 = -24803", "Subtract 126496 from both sides: -32x = -151299", "Divide both sides by -32: x = 151299/32"], "final_answer": "151299/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 3953) = -24803", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 3953, \"c\": -24803}", "seed": "1852071354800807374", "semantic_fingerprint": "sha256:b94a21a7284badc74d75591293cd669b75de161e78242a4cc7991611f000abba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003590", "prompt": "Calculate: 5995 * 70788", "solution_steps": ["Multiply: 5995 * 70788 = 424374060"], "final_answer": "424374060", "answer_type": "integer", "kind": "expression", "math_text": "5995 * 70788", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5995, \"b\": 70788}", "seed": "14201019573265452808", "semantic_fingerprint": "sha256:7137492bf0f77f44a030cb887f6c745043041b02ba24f5e1540bd033d3ef4f4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003591", "prompt": "What is -5222 / (-8785 - (-3635))?", "solution_steps": ["Subtract: -8785 - (-3635) = -5150", "Divide: -5222 / (-5150) = 2611/2575"], "final_answer": "2611/2575", "answer_type": "rational", "kind": "expression", "math_text": "-5222 / (-8785 - (-3635))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5222, \"b\": -8785, \"c\": -3635}", "seed": "14102106551047523662", "semantic_fingerprint": "sha256:f4873469e31e0e7784646a1c5147142c547a6d140b1b7599951af362c8ec1721", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003592", "prompt": "Compute: 55023 * (-7808)", "solution_steps": ["Multiply: 55023 * (-7808) = -429619584"], "final_answer": "-429619584", "answer_type": "integer", "kind": "expression", "math_text": "55023 * (-7808)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 55023, \"b\": -7808}", "seed": "16609323768973137422", "semantic_fingerprint": "sha256:f99a129e37d2381a368517bb4f53f79c3b3794735c65c052b0fff852d41d7bc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003593", "prompt": "Compute: (94089 + (-8573) - (-2970)) / 2561", "solution_steps": ["Add: 94089 + (-8573) = 85516", "Subtract: 85516 - (-2970) = 88486", "Divide: 88486 / 2561 = 88486/2561"], "final_answer": "88486/2561", "answer_type": "rational", "kind": "expression", "math_text": "(94089 + (-8573) - (-2970)) / 2561", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 94089, \"b\": -8573, \"c\": -2970, \"d\": 2561}", "seed": "2492516003819652815", "semantic_fingerprint": "sha256:315bd94ebcdb1b31c22e338ec7e07fe7a2f9f7587f5443c6db9585ab45802d99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003594", "prompt": "Evaluate: 9246 * 6603 - (7496 - 9400)", "solution_steps": ["Multiply: 9246 * 6603 = 61051338", "Subtract: 7496 - 9400 = -1904", "Subtract: 61051338 - (-1904) = 61053242"], "final_answer": "61053242", "answer_type": "integer", "kind": "expression", "math_text": "9246 * 6603 - (7496 - 9400)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9246, \"b\": 6603, \"c\": 7496, \"d\": 9400}", "seed": "17508569234223050069", "semantic_fingerprint": "sha256:d81ba50f0548a5957d8a39f6a95e447022ed27eaeb13cd58d6af36c38a1a6b82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003595", "prompt": "Compute: -2897 + (-5331) + (-3583 - (-2871) - 63219) / 3085", "solution_steps": ["Add: -2897 + (-5331) = -8228", "Subtract: -3583 - (-2871) = -712", "Subtract: -712 - 63219 = -63931", "Divide: -63931 / 3085 = -63931/3085", "Add: -8228 + (-63931/3085) = -25447311/3085"], "final_answer": "-25447311/3085", "answer_type": "rational", "kind": "expression", "math_text": "-2897 + (-5331) + (-3583 - (-2871) - 63219) / 3085", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ (- (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2897, \"b\": -5331, \"c\": -3583, \"d\": -2871, \"e\": 63219, \"f\": 3085}", "seed": "4083332509990809362", "semantic_fingerprint": "sha256:17cbdd745f853411ef167601f2dcdfb8af285599a03c365f3c4705544517b433", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003596", "prompt": "Calculate: (-9354 - 16354) * 65637 + 6320", "solution_steps": ["Subtract: -9354 - 16354 = -25708", "Multiply: -25708 * 65637 = -1687395996", "Add: -1687395996 + 6320 = -1687389676"], "final_answer": "-1687389676", "answer_type": "integer", "kind": "expression", "math_text": "(-9354 - 16354) * 65637 + 6320", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9354, \"b\": 16354, \"c\": 65637, \"d\": 6320}", "seed": "11216363661225128326", "semantic_fingerprint": "sha256:222dbcc236ef8b6ebc2593e201895b09cde250f3b580634056f19a3ec9c2bbb0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003597", "prompt": "Find x: -19x - 8554 = 24(x + 73023) - 3179", "solution_steps": ["Expand: -19x - 8554 = 24x + 1752552 - 3179", "Combine constants: -19x - 8554 = 24x + 1749373", "Subtract 24x from both sides: -43x - 8554 = 1749373", "Add 8554 to both sides: -43x = 1757927", "Divide both sides by -43: x = -1757927/43"], "final_answer": "-1757927/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x - 8554 = 24(x + 73023) - 3179", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 8554, \"c\": 24, \"d\": 73023, \"e\": 3179}", "seed": "13511539277621803757", "semantic_fingerprint": "sha256:35b2dfa176b3731a3e46ddd40a59b620473edd765fe0d58c40b2d59d4caddb15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003598", "prompt": "Solve the equation x - 7402 = 18x + 41506 for x.", "solution_steps": ["Subtract 18x from both sides: -17x - 7402 = 41506", "Add 7402 to both sides: -17x = 48908", "Divide both sides by -17: x = -48908/17"], "final_answer": "-48908/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7402 = 18x + 41506", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7402, \"b\": 18, \"c\": 41506}", "seed": "5367216665605920256", "semantic_fingerprint": "sha256:599e6a540df569935b32c640a8eff539b5193cbebf5284232ed09d299f9f784c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003599", "prompt": "Calculate: -9250 * (-6829)", "solution_steps": ["Multiply: -9250 * (-6829) = 63168250"], "final_answer": "63168250", "answer_type": "integer", "kind": "expression", "math_text": "-9250 * (-6829)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9250, \"b\": -6829}", "seed": "12116086797620931070", "semantic_fingerprint": "sha256:5a379282ffd757f3b0141b4f2d1b74e5619b22f58fd053c643f52e0a8848d6d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003600", "prompt": "Compute: (-49837 - (-2200)) * (-1443 - (-1378) / (-43992))", "solution_steps": ["Subtract: -49837 - (-2200) = -47637", "Divide: -1378 / (-43992) = 53/1692", "Subtract: -1443 - 53/1692 = -2441609/1692", "Multiply: -47637 * (-2441609/1692) = 12923436437/188"], "final_answer": "12923436437/188", "answer_type": "rational", "kind": "expression", "math_text": "(-49837 - (-2200)) * (-1443 - (-1378) / (-43992))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -49837, \"b\": -2200, \"c\": -1443, \"d\": -1378, \"e\": -43992}", "seed": "7573613797100074581", "semantic_fingerprint": "sha256:f0628476754a0cfbe48e67f48ec62bba65ed0a4bd6d18f83cc300838e7f8c4d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003601", "prompt": "What is -3043 * 2253?", "solution_steps": ["Multiply: -3043 * 2253 = -6855879"], "final_answer": "-6855879", "answer_type": "integer", "kind": "expression", "math_text": "-3043 * 2253", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3043, \"b\": 2253}", "seed": "10030435207296215652", "semantic_fingerprint": "sha256:e347944b65296e8cf629ddaf4677d313351adb23f955b8747f79f8abbc07fd69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003602", "prompt": "What value of x satisfies 24(x + 1606) - 38274 = 21x?", "solution_steps": ["Expand: 24x + 38544 - 38274 = 21x", "Combine constants: 24x + 270 = 21x", "Subtract 21x from both sides: 3x + 270 = 0", "Subtract 270 from both sides: 3x = -270", "Divide both sides by 3: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x + 1606) - 38274 = 21x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 1606, \"c\": 21, \"e\": -38274, \"x\": -90}", "seed": "4524899580486415657", "semantic_fingerprint": "sha256:ac75f580f5bfe11588da36d70d75261c4199faf8918d73e28b4bca4c2686288b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003603", "prompt": "Compute: -3598 * (92487 + 8279)", "solution_steps": ["Add: 92487 + 8279 = 100766", "Multiply: -3598 * 100766 = -362556068"], "final_answer": "-362556068", "answer_type": "integer", "kind": "expression", "math_text": "-3598 * (92487 + 8279)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3598, \"b\": 92487, \"c\": 8279}", "seed": "17355769854141764262", "semantic_fingerprint": "sha256:d6b92599c6ccc0ef726d98f8c023db07fe5f6358330944d2c96705b835d83008", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003604", "prompt": "Calculate: 14566 * 84851 + (-15686)", "solution_steps": ["Multiply: 14566 * 84851 = 1235939666", "Add: 1235939666 + (-15686) = 1235923980"], "final_answer": "1235923980", "answer_type": "integer", "kind": "expression", "math_text": "14566 * 84851 + (-15686)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14566, \"b\": 84851, \"c\": -15686}", "seed": "14081914346796109059", "semantic_fingerprint": "sha256:7ae31f98f016b60cc59a0c457a2ea08020b7b7c29baaa12c1cd6952e0919dd2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003605", "prompt": "Find x: 28(x + 58607) = 16x", "solution_steps": ["Expand: 28x + 1640996 = 16x", "Subtract 16x from both sides: 12x + 1640996 = 0", "Subtract 1640996 from both sides: 12x = -1640996", "Divide both sides by 12: x = -410249/3"], "final_answer": "-410249/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 58607) = 16x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 58607, \"c\": 16}", "seed": "9702886133769510980", "semantic_fingerprint": "sha256:3a38b8b76ac449d229d80ccd0f62847fc7aa25a5b5622811772f775d354b3e7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003606", "prompt": "Solve for x: 16x + 45088 = 36(x + 2745) - 50992", "solution_steps": ["Expand: 16x + 45088 = 36x + 98820 - 50992", "Combine constants: 16x + 45088 = 36x + 47828", "Subtract 36x from both sides: -20x + 45088 = 47828", "Subtract 45088 from both sides: -20x = 2740", "Divide both sides by -20: x = -137"], "final_answer": "-137", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x + 45088 = 36(x + 2745) - 50992", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 45088, \"c\": 36, \"d\": 2745, \"f\": -50992, \"x\": -137}", "seed": "3602264680942558117", "semantic_fingerprint": "sha256:ee4bcc67b36987bc73bacb42288ebccd0726f135843c3926eb8f9af8ce865d92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003607", "prompt": "What is 98702 - (-15348) - 27852 - (-6725) - 33528?", "solution_steps": ["Subtract: 98702 - (-15348) = 114050", "Subtract: 114050 - 27852 = 86198", "Subtract: 86198 - (-6725) = 92923", "Subtract: 92923 - 33528 = 59395"], "final_answer": "59395", "answer_type": "integer", "kind": "expression", "math_text": "98702 - (-15348) - 27852 - (-6725) - 33528", "variable": null, "family": "expression_4op", "shape": "(- (- (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 98702, \"b\": -15348, \"c\": 27852, \"d\": -6725, \"e\": 33528}", "seed": "4645867659995767969", "semantic_fingerprint": "sha256:6d1e15f011a13e12fb17f05c1a783d323953ab97fb69123daef40a47ac3c1529", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003608", "prompt": "Calculate: -72022 / (2708 + 1829)", "solution_steps": ["Add: 2708 + 1829 = 4537", "Divide: -72022 / 4537 = -72022/4537"], "final_answer": "-72022/4537", "answer_type": "rational", "kind": "expression", "math_text": "-72022 / (2708 + 1829)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72022, \"b\": 2708, \"c\": 1829}", "seed": "18041934970704179711", "semantic_fingerprint": "sha256:38d33ce798f8634d2a78811aa56a7158b431badce9c38ea288c47a551740cb86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003609", "prompt": "Calculate: -66655 + (3071 - (-29299) + (-24425))", "solution_steps": ["Subtract: 3071 - (-29299) = 32370", "Add: 32370 + (-24425) = 7945", "Add: -66655 + 7945 = -58710"], "final_answer": "-58710", "answer_type": "integer", "kind": "expression", "math_text": "-66655 + (3071 - (-29299) + (-24425))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -66655, \"b\": 3071, \"c\": -29299, \"d\": -24425}", "seed": "15972933197874089773", "semantic_fingerprint": "sha256:d3f435aac674d08412db000df5a4e33e3febdeb36806e507e798ae743f0248de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003610", "prompt": "What is -9158 + (-9584 - (-8612))?", "solution_steps": ["Subtract: -9584 - (-8612) = -972", "Add: -9158 + (-972) = -10130"], "final_answer": "-10130", "answer_type": "integer", "kind": "expression", "math_text": "-9158 + (-9584 - (-8612))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9158, \"b\": -9584, \"c\": -8612}", "seed": "4578795094909083634", "semantic_fingerprint": "sha256:348993b7ee59f97a144a1aee2d085a2c5cbb999146cb4c741d98f558d0827373", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003611", "prompt": "Find x: x - 2284 = 15x - 1206", "solution_steps": ["Subtract 15x from both sides: -14x - 2284 = -1206", "Add 2284 to both sides: -14x = 1078", "Divide both sides by -14: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2284 = 15x - 1206", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2284, \"b\": 15, \"d\": -1206, \"x\": -77}", "seed": "15985777313754328926", "semantic_fingerprint": "sha256:8887026763d47654615071df10642037e91a155e73c345b0327d4e0067ac0f82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003612", "prompt": "Evaluate: -5432 - (-85193) + 53024 / 5278 - (-73816)", "solution_steps": ["Subtract: -5432 - (-85193) = 79761", "Divide: 53024 / 5278 = 26512/2639", "Add: 79761 + 26512/2639 = 210515791/2639", "Subtract: 210515791/2639 - (-73816) = 405316215/2639"], "final_answer": "405316215/2639", "answer_type": "rational", "kind": "expression", "math_text": "-5432 - (-85193) + 53024 / 5278 - (-73816)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5432, \"b\": -85193, \"c\": 53024, \"d\": 5278, \"e\": -73816}", "seed": "6216378036715165627", "semantic_fingerprint": "sha256:395965646deaf6b1f3df5fdf6e968a158a65050c4903c29b2eb5965be7309306", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003613", "prompt": "Solve for x: x + 4234 = 9722", "solution_steps": ["Subtract 4234 from both sides: x = 5488"], "final_answer": "5488", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4234 = 9722", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4234, \"b\": 9722}", "seed": "9507689343928350046", "semantic_fingerprint": "sha256:9db826c520cfec08f0bc32270241e4849b64dffaacb397d0174ddda119494cce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003614", "prompt": "Compute: -70893 * 65795 / (9941 - 4465)", "solution_steps": ["Multiply: -70893 * 65795 = -4664404935", "Subtract: 9941 - 4465 = 5476", "Divide: -4664404935 / 5476 = -4664404935/5476"], "final_answer": "-4664404935/5476", "answer_type": "rational", "kind": "expression", "math_text": "-70893 * 65795 / (9941 - 4465)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -70893, \"b\": 65795, \"c\": 9941, \"d\": 4465}", "seed": "968452130755746440", "semantic_fingerprint": "sha256:3e099092c94a2bd00c88cf9d0a892aaa268fb14fe25c0401c952c2362d964da3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003615", "prompt": "What is (36855 + (7972 - 83638 / 8194)) * (-1891)?", "solution_steps": ["Divide: 83638 / 8194 = 41819/4097", "Subtract: 7972 - 41819/4097 = 32619465/4097", "Add: 36855 + 32619465/4097 = 183614400/4097", "Multiply: (183614400/4097) * (-1891) = -347214830400/4097"], "final_answer": "-347214830400/4097", "answer_type": "rational", "kind": "expression", "math_text": "(36855 + (7972 - 83638 / 8194)) * (-1891)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n (/ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36855, \"b\": 7972, \"c\": 83638, \"d\": 8194, \"e\": -1891}", "seed": "811638092658200805", "semantic_fingerprint": "sha256:6dea77aeb40639198fa2b1d81f068d875ad3f2c302cc1fe7c30a5d93934e66d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003616", "prompt": "Evaluate: 1320 * (-7783)", "solution_steps": ["Multiply: 1320 * (-7783) = -10273560"], "final_answer": "-10273560", "answer_type": "integer", "kind": "expression", "math_text": "1320 * (-7783)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1320, \"b\": -7783}", "seed": "233498412205973838", "semantic_fingerprint": "sha256:f0fd1ee4f6ef053123b90a196204f92a297071b28d5272e2918642f9f9f612d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003617", "prompt": "Evaluate: -52762 / (-6431) + (-9144)", "solution_steps": ["Divide: -52762 / (-6431) = 52762/6431", "Add: 52762/6431 + (-9144) = -58752302/6431"], "final_answer": "-58752302/6431", "answer_type": "rational", "kind": "expression", "math_text": "-52762 / (-6431) + (-9144)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52762, \"b\": -6431, \"c\": -9144}", "seed": "13000161268463267665", "semantic_fingerprint": "sha256:4c7f7bb53ca12a7566eb9cf2b5d926799f368364d87626874dbf9429edd6c3ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003618", "prompt": "Solve for x: -34x + 28315 = -38(x - 1664) - 35141", "solution_steps": ["Expand: -34x + 28315 = -38x + 63232 - 35141", "Combine constants: -34x + 28315 = -38x + 28091", "Add 38x to both sides: 4x + 28315 = 28091", "Subtract 28315 from both sides: 4x = -224", "Divide both sides by 4: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x + 28315 = -38(x - 1664) - 35141", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 28315, \"c\": -38, \"d\": 1664, \"f\": -35141, \"x\": -56}", "seed": "13999438752883489169", "semantic_fingerprint": "sha256:bf762baede44531a3a729345485c200cf4b83acb128130b94d042e7de9c023ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003619", "prompt": "Calculate: 27904 + (-2991 - (-6516))", "solution_steps": ["Subtract: -2991 - (-6516) = 3525", "Add: 27904 + 3525 = 31429"], "final_answer": "31429", "answer_type": "integer", "kind": "expression", "math_text": "27904 + (-2991 - (-6516))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27904, \"b\": -2991, \"c\": -6516}", "seed": "11947295622570942687", "semantic_fingerprint": "sha256:b63dbfd3f902233ca721bc0c4f56342199dc46ea685f50043e5006a76a68712e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003620", "prompt": "Evaluate: 6006 - 8123 - 9067 * 9940", "solution_steps": ["Subtract: 6006 - 8123 = -2117", "Multiply: 9067 * 9940 = 90125980", "Subtract: -2117 - 90125980 = -90128097"], "final_answer": "-90128097", "answer_type": "integer", "kind": "expression", "math_text": "6006 - 8123 - 9067 * 9940", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6006, \"b\": 8123, \"c\": 9067, \"d\": 9940}", "seed": "12566275776434286446", "semantic_fingerprint": "sha256:085e3091e92a99d3fcb5d6e524554268a96f1bd28c7261698074c9738e6b6ce4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003621", "prompt": "Evaluate: 5730 + (-2166) + 2244 - 44206", "solution_steps": ["Add: 5730 + (-2166) = 3564", "Add: 3564 + 2244 = 5808", "Subtract: 5808 - 44206 = -38398"], "final_answer": "-38398", "answer_type": "integer", "kind": "expression", "math_text": "5730 + (-2166) + 2244 - 44206", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5730, \"b\": -2166, \"c\": 2244, \"d\": 44206}", "seed": "4743375967660339209", "semantic_fingerprint": "sha256:ce2c57533df7bca3655a7221041d9f8119d492214b4788fa530ff4327a42082a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003622", "prompt": "Compute: -4635 + (-54547)", "solution_steps": ["Add: -4635 + (-54547) = -59182"], "final_answer": "-59182", "answer_type": "integer", "kind": "expression", "math_text": "-4635 + (-54547)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4635, \"b\": -54547}", "seed": "6381126056735344584", "semantic_fingerprint": "sha256:09ef16d10e72e5c8bf81c692a37b755eacbaeabaa5d99f58b2749b9e9315be9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003623", "prompt": "What value of x satisfies -13x + 2618 = x?", "solution_steps": ["Subtract x from both sides: -14x + 2618 = 0", "Subtract 2618 from both sides: -14x = -2618", "Divide both sides by -14: x = 187"], "final_answer": "187", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x + 2618 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"c\": 2618, \"x\": 187}", "seed": "5529427953884680949", "semantic_fingerprint": "sha256:1757cf8df4bbf26df51f7e1aa75524a0a9a1d7ba638dba53085e1e0a55b6454b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003624", "prompt": "What is 24846 * (11707 / (-2301))?", "solution_steps": ["Divide: 11707 / (-2301) = -11707/2301", "Multiply: 24846 * (-11707/2301) = -96957374/767"], "final_answer": "-96957374/767", "answer_type": "rational", "kind": "expression", "math_text": "24846 * (11707 / (-2301))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24846, \"b\": 11707, \"c\": -2301}", "seed": "2886386308808126963", "semantic_fingerprint": "sha256:959263c35445b1d67ab8f5949e8eef58c40835c17abceda76f0fffb35d4a59b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003625", "prompt": "Find x: 36(x + 3718) = 15(x + 52334)", "solution_steps": ["Expand: 36x + 133848 = 15(x + 52334)", "Expand: 36x + 133848 = 15x + 785010", "Subtract 15x from both sides: 21x + 133848 = 785010", "Subtract 133848 from both sides: 21x = 651162", "Divide both sides by 21: x = 217054/7"], "final_answer": "217054/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 3718) = 15(x + 52334)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 3718, \"c\": 15, \"d\": 52334}", "seed": "8849823126649691228", "semantic_fingerprint": "sha256:0ea983f192ad8dc42f230d83509b12e5a1df6770f9b04c2cb161a21a69b5ebd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003626", "prompt": "Solve the equation 13x + 9078 = 18(x - 1193) + 31202 for x.", "solution_steps": ["Expand: 13x + 9078 = 18x - 21474 + 31202", "Combine constants: 13x + 9078 = 18x + 9728", "Subtract 18x from both sides: -5x + 9078 = 9728", "Subtract 9078 from both sides: -5x = 650", "Divide both sides by -5: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 9078 = 18(x - 1193) + 31202", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 9078, \"c\": 18, \"d\": 1193, \"f\": 31202, \"x\": -130}", "seed": "15259296685644961319", "semantic_fingerprint": "sha256:4dcbb4043ea637c28ed8e7ff066c1fd0512ca0908a11118f27c03a3ad27ab76b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003627", "prompt": "Solve the equation 35(x + 4054) + 6710 = -6632 for x.", "solution_steps": ["Expand: 35x + 141890 + 6710 = -6632", "Combine constants: 35x + 148600 = -6632", "Subtract 148600 from both sides: 35x = -155232", "Divide both sides by 35: x = -22176/5"], "final_answer": "-22176/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 4054) + 6710 = -6632", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4054, \"c\": 6710, \"d\": -6632}", "seed": "13687242513050902270", "semantic_fingerprint": "sha256:dac0180501aa3a20194c82a900c30c7e23c8493507c3002520f49f9c187f2ffc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003628", "prompt": "What is (88230 + (-5775)) * (7632 * 1176)?", "solution_steps": ["Add: 88230 + (-5775) = 82455", "Multiply: 7632 * 1176 = 8975232", "Multiply: 82455 * 8975232 = 740052754560"], "final_answer": "740052754560", "answer_type": "integer", "kind": "expression", "math_text": "(88230 + (-5775)) * (7632 * 1176)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 88230, \"b\": -5775, \"c\": 7632, \"d\": 1176}", "seed": "16417512167854910458", "semantic_fingerprint": "sha256:f16a893d6611f9059e5370632636cfec9b2b60894c19ee9fcddd6c6556516e73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003629", "prompt": "What value of x satisfies -19(x + 7154) = 16x?", "solution_steps": ["Expand: -19x - 135926 = 16x", "Subtract 16x from both sides: -35x - 135926 = 0", "Add 135926 to both sides: -35x = 135926", "Divide both sides by -35: x = -19418/5"], "final_answer": "-19418/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 7154) = 16x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 7154, \"c\": 16}", "seed": "3762575001359624659", "semantic_fingerprint": "sha256:387bcbc21b3ea056fd0abcb02aff97457eb48783561ca42167ad75341c8a73a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003630", "prompt": "Solve for x: x = 35(x + 91733) - 23344", "solution_steps": ["Expand: x = 35x + 3210655 - 23344", "Combine constants: x = 35x + 3187311", "Subtract 35x from both sides: -34x = 3187311", "Divide both sides by -34: x = -3187311/34"], "final_answer": "-3187311/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35(x + 91733) - 23344", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 91733, \"c\": 23344}", "seed": "5662181177609339464", "semantic_fingerprint": "sha256:127e81b9ab2b35747c5274c5cf69e840f91551576da255ffda28954cfa5c0fb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003631", "prompt": "What is -4378 / (-97545) - 90814?", "solution_steps": ["Divide: -4378 / (-97545) = 4378/97545", "Subtract: 4378/97545 - 90814 = -8858447252/97545"], "final_answer": "-8858447252/97545", "answer_type": "rational", "kind": "expression", "math_text": "-4378 / (-97545) - 90814", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4378, \"b\": -97545, \"c\": 90814}", "seed": "18005563160238041740", "semantic_fingerprint": "sha256:42d66b97f9d4ba4554ab72ec4edb113ceafaf9bdd87ffb97366505564ab657b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003632", "prompt": "Compute: 2489 * 2822 * 36544", "solution_steps": ["Multiply: 2489 * 2822 = 7023958", "Multiply: 7023958 * 36544 = 256683521152"], "final_answer": "256683521152", "answer_type": "integer", "kind": "expression", "math_text": "2489 * 2822 * 36544", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2489, \"b\": 2822, \"c\": 36544}", "seed": "10813997224071961198", "semantic_fingerprint": "sha256:b4f1b2af9c627c14a048b7fac2d33a1ca2cb4aebd365fb864e36f56592965e75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003633", "prompt": "What is 35364 * (-53334)?", "solution_steps": ["Multiply: 35364 * (-53334) = -1886103576"], "final_answer": "-1886103576", "answer_type": "integer", "kind": "expression", "math_text": "35364 * (-53334)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35364, \"b\": -53334}", "seed": "8417392549891633653", "semantic_fingerprint": "sha256:0e4381fa0efb3c4bda9baa284d97c372a0a15c18d01e22fba6a2247a651af38f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003634", "prompt": "Compute: -4296 - (-24785 + 1613 + (52318 - (-5182 + 8503)))", "solution_steps": ["Add: -24785 + 1613 = -23172", "Add: -5182 + 8503 = 3321", "Subtract: 52318 - 3321 = 48997", "Add: -23172 + 48997 = 25825", "Subtract: -4296 - 25825 = -30121"], "final_answer": "-30121", "answer_type": "integer", "kind": "expression", "math_text": "-4296 - (-24785 + 1613 + (52318 - (-5182 + 8503)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ n n) (- n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4296, \"b\": -24785, \"c\": 1613, \"d\": 52318, \"e\": -5182, \"f\": 8503}", "seed": "12132554805097786386", "semantic_fingerprint": "sha256:05f0c3cacd0a59ce173f5a711b552ad88438729d17dd0ac64e8c2a69b904f82a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003635", "prompt": "Solve for x: 16x + 4355 = x + 1842", "solution_steps": ["Subtract x from both sides: 15x + 4355 = 1842", "Subtract 4355 from both sides: 15x = -2513", "Divide both sides by 15: x = -2513/15"], "final_answer": "-2513/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x + 4355 = x + 1842", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4355, \"c\": 1842}", "seed": "13894292891942726394", "semantic_fingerprint": "sha256:565821782eb33ac957d068e26a60e684e3fc514c688e02ebc76e30645c1ba828", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003636", "prompt": "What is -48922 - (44001 - (-2324))?", "solution_steps": ["Subtract: 44001 - (-2324) = 46325", "Subtract: -48922 - 46325 = -95247"], "final_answer": "-95247", "answer_type": "integer", "kind": "expression", "math_text": "-48922 - (44001 - (-2324))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48922, \"b\": 44001, \"c\": -2324}", "seed": "775619997428586632", "semantic_fingerprint": "sha256:a5a9c6cd5b3764701347b267b9d7f4176135674725e56418a04a5b6c98edc8b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003637", "prompt": "What is -96639 / 69947?", "solution_steps": ["Divide: -96639 / 69947 = -96639/69947"], "final_answer": "-96639/69947", "answer_type": "rational", "kind": "expression", "math_text": "-96639 / 69947", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96639, \"b\": 69947}", "seed": "9048360231054131862", "semantic_fingerprint": "sha256:e8894278130ad48b8b03fb6f3984491e20e942b102f651de846a4b085c08c4d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003638", "prompt": "Compute: (3845 - 1373) / (-61467) * 69422", "solution_steps": ["Subtract: 3845 - 1373 = 2472", "Divide: 2472 / (-61467) = -824/20489", "Multiply: (-824/20489) * 69422 = -57203728/20489"], "final_answer": "-57203728/20489", "answer_type": "rational", "kind": "expression", "math_text": "(3845 - 1373) / (-61467) * 69422", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3845, \"b\": 1373, \"c\": -61467, \"d\": 69422}", "seed": "13648388107054685735", "semantic_fingerprint": "sha256:262c8cc48c34ef3e2c6fc7fe3e04b745484c743663fc52dce61e658ef84d758c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003639", "prompt": "Evaluate: -7172 * (53745 - 5662)", "solution_steps": ["Subtract: 53745 - 5662 = 48083", "Multiply: -7172 * 48083 = -344851276"], "final_answer": "-344851276", "answer_type": "integer", "kind": "expression", "math_text": "-7172 * (53745 - 5662)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7172, \"b\": 53745, \"c\": 5662}", "seed": "10888054688427313758", "semantic_fingerprint": "sha256:f00a5c45e74e00d7921d2f83729f27d6e444205985cde151f834a73c8c82d252", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003640", "prompt": "Solve the equation x = 15(x + 5124) for x.", "solution_steps": ["Expand: x = 15x + 76860", "Subtract 15x from both sides: -14x = 76860", "Divide both sides by -14: x = -5490"], "final_answer": "-5490", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 15(x + 5124)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 5124}", "seed": "4740210540932137378", "semantic_fingerprint": "sha256:bccfb1e7bc32d124d452567efcfb39de818f141edb53f1f2d6ca260a38db51c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003641", "prompt": "Compute: -4467 + (5152 - (-5209))", "solution_steps": ["Subtract: 5152 - (-5209) = 10361", "Add: -4467 + 10361 = 5894"], "final_answer": "5894", "answer_type": "integer", "kind": "expression", "math_text": "-4467 + (5152 - (-5209))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4467, \"b\": 5152, \"c\": -5209}", "seed": "7691468631113369610", "semantic_fingerprint": "sha256:028fa18112ed116ab74ea95272d2f9e7e3c2ab590ec3a0b2874857ca8b4632fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003642", "prompt": "Calculate: 2767 - (-3489)", "solution_steps": ["Subtract: 2767 - (-3489) = 6256"], "final_answer": "6256", "answer_type": "integer", "kind": "expression", "math_text": "2767 - (-3489)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2767, \"b\": -3489}", "seed": "18026276402269811252", "semantic_fingerprint": "sha256:7bf3cf9752dff383aa738bc601391f546bb0693f0403748a25b746bac3721e13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003643", "prompt": "Calculate: -54136 + (4054 + (-15966 + 8437))", "solution_steps": ["Add: -15966 + 8437 = -7529", "Add: 4054 + (-7529) = -3475", "Add: -54136 + (-3475) = -57611"], "final_answer": "-57611", "answer_type": "integer", "kind": "expression", "math_text": "-54136 + (4054 + (-15966 + 8437))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -54136, \"b\": 4054, \"c\": -15966, \"d\": 8437}", "seed": "6200702516862155220", "semantic_fingerprint": "sha256:2e6169afbc76c291eee530c088d77d77ac249136f635f3bac24e4eac2773d915", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003644", "prompt": "Calculate: -61879 + (-77456) - 9524", "solution_steps": ["Add: -61879 + (-77456) = -139335", "Subtract: -139335 - 9524 = -148859"], "final_answer": "-148859", "answer_type": "integer", "kind": "expression", "math_text": "-61879 + (-77456) - 9524", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -61879, \"b\": -77456, \"c\": 9524}", "seed": "7981289139421545431", "semantic_fingerprint": "sha256:fd2c7641d92b3b16852fbe34929281a7bffc14172f11787e01f3591dff970d54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003645", "prompt": "Calculate: (2692 - (-32056)) * (-6345)", "solution_steps": ["Subtract: 2692 - (-32056) = 34748", "Multiply: 34748 * (-6345) = -220476060"], "final_answer": "-220476060", "answer_type": "integer", "kind": "expression", "math_text": "(2692 - (-32056)) * (-6345)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2692, \"b\": -32056, \"c\": -6345}", "seed": "16244368742029404041", "semantic_fingerprint": "sha256:513d8c01be7abd305db51ed2f071af01b2caabd769d15c268e9e8efc05ab217e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003646", "prompt": "What is 8745 / (94311 - 78610)?", "solution_steps": ["Subtract: 94311 - 78610 = 15701", "Divide: 8745 / 15701 = 8745/15701"], "final_answer": "8745/15701", "answer_type": "rational", "kind": "expression", "math_text": "8745 / (94311 - 78610)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8745, \"b\": 94311, \"c\": 78610}", "seed": "15840195166145261733", "semantic_fingerprint": "sha256:fb1b8800d34e2c493b5c3b72c0301ea8e951b3d00f8a61dfe4c842a82a5b0e2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003647", "prompt": "What is -21523 / 6845?", "solution_steps": ["Divide: -21523 / 6845 = -21523/6845"], "final_answer": "-21523/6845", "answer_type": "rational", "kind": "expression", "math_text": "-21523 / 6845", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21523, \"b\": 6845}", "seed": "14485009520913228606", "semantic_fingerprint": "sha256:10ab527b91687dd2185e756c331641c8903c4658f377f8d9ee21a8247a297867", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003648", "prompt": "Solve the equation 38x + 86495 = 13(x + 6415) for x.", "solution_steps": ["Expand: 38x + 86495 = 13x + 83395", "Subtract 13x from both sides: 25x + 86495 = 83395", "Subtract 86495 from both sides: 25x = -3100", "Divide both sides by 25: x = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 86495 = 13(x + 6415)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 13, \"c\": 6415, \"e\": 86495, \"x\": -124}", "seed": "11195640320883147284", "semantic_fingerprint": "sha256:798ba57cec6459098bec7c10c8af95882f81006a0334010c5ebb90d9afc87c62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003649", "prompt": "Calculate: -11887 - (-4961 + 5184)", "solution_steps": ["Add: -4961 + 5184 = 223", "Subtract: -11887 - 223 = -12110"], "final_answer": "-12110", "answer_type": "integer", "kind": "expression", "math_text": "-11887 - (-4961 + 5184)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11887, \"b\": -4961, \"c\": 5184}", "seed": "3566703957412720436", "semantic_fingerprint": "sha256:cfcf97a3213dd1490c6009d1fcd02eb70a992a21836232c4da10820c7b37a446", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003650", "prompt": "What is -9190 + (-7791) + (-4861 - (-9812))?", "solution_steps": ["Add: -9190 + (-7791) = -16981", "Subtract: -4861 - (-9812) = 4951", "Add: -16981 + 4951 = -12030"], "final_answer": "-12030", "answer_type": "integer", "kind": "expression", "math_text": "-9190 + (-7791) + (-4861 - (-9812))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9190, \"b\": -7791, \"c\": -4861, \"d\": -9812}", "seed": "784894092137538770", "semantic_fingerprint": "sha256:d8bfeb031de16a0d065c7a27fc04550d5304c59bd999371a11f50d418e447737", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003651", "prompt": "Solve the equation 20x = 30(x - 9399) for x.", "solution_steps": ["Expand: 20x = 30x - 281970", "Subtract 30x from both sides: -10x = -281970", "Divide both sides by -10: x = 28197"], "final_answer": "28197", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 30(x - 9399)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 30, \"c\": 9399}", "seed": "5977555701244247114", "semantic_fingerprint": "sha256:5df06e74a3d607c38a3e9794d6dd530cd0a02aea73836230d9f85889c348ebc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003652", "prompt": "Evaluate: -3795 / (-4756 - 1921)", "solution_steps": ["Subtract: -4756 - 1921 = -6677", "Divide: -3795 / (-6677) = 345/607"], "final_answer": "345/607", "answer_type": "rational", "kind": "expression", "math_text": "-3795 / (-4756 - 1921)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3795, \"b\": -4756, \"c\": 1921}", "seed": "9581254180122242019", "semantic_fingerprint": "sha256:58490141c2be15617d3d6a3d412d8b744b21ae96891cd2e64c26e9be8b0ea62f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003653", "prompt": "Solve the equation -35(x - 36891) + 8486 = x for x.", "solution_steps": ["Expand: -35x + 1291185 + 8486 = x", "Combine constants: -35x + 1299671 = x", "Subtract x from both sides: -36x + 1299671 = 0", "Subtract 1299671 from both sides: -36x = -1299671", "Divide both sides by -36: x = 1299671/36"], "final_answer": "1299671/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 36891) + 8486 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 36891, \"c\": 8486}", "seed": "16147602371023393731", "semantic_fingerprint": "sha256:660bf31d2f718505141e9a2f667e92de4dc175d74e98f3b285503a9a40a7b9e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003654", "prompt": "Evaluate: 54439 / 1563", "solution_steps": ["Divide: 54439 / 1563 = 54439/1563"], "final_answer": "54439/1563", "answer_type": "rational", "kind": "expression", "math_text": "54439 / 1563", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54439, \"b\": 1563}", "seed": "10252160678391766813", "semantic_fingerprint": "sha256:ff39bf004469d159b4b245ad29f893858012203e1559bc16b38a2f884063cc5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003655", "prompt": "Find x: 18(x + 6237) = -13(x - 5800)", "solution_steps": ["Expand: 18x + 112266 = -13(x - 5800)", "Expand: 18x + 112266 = -13x + 75400", "Add 13x to both sides: 31x + 112266 = 75400", "Subtract 112266 from both sides: 31x = -36866", "Divide both sides by 31: x = -36866/31"], "final_answer": "-36866/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 6237) = -13(x - 5800)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 6237, \"c\": -13, \"d\": 5800}", "seed": "7821709811063840138", "semantic_fingerprint": "sha256:a8169a3f2f04bbf6cb66560f4680ea03004d7ad7a984b16c65a28ef32c3c2608", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003656", "prompt": "Calculate: 8306 + 4349 - 14611", "solution_steps": ["Add: 8306 + 4349 = 12655", "Subtract: 12655 - 14611 = -1956"], "final_answer": "-1956", "answer_type": "integer", "kind": "expression", "math_text": "8306 + 4349 - 14611", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8306, \"b\": 4349, \"c\": 14611}", "seed": "12449103340529206593", "semantic_fingerprint": "sha256:05f71260e01a7f60560262c19806fe73b59ec65e9374983e9ccbc326cc0d07bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003657", "prompt": "Calculate: -6550 + 7145", "solution_steps": ["Add: -6550 + 7145 = 595"], "final_answer": "595", "answer_type": "integer", "kind": "expression", "math_text": "-6550 + 7145", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6550, \"b\": 7145}", "seed": "16226987047174211346", "semantic_fingerprint": "sha256:17abc021b9d6c1579e389b8b52ea4ce3a24c45f3b1b71af7e4a48903865e5e8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003658", "prompt": "Solve for x: 14(x + 6799) = -26x", "solution_steps": ["Expand: 14x + 95186 = -26x", "Add 26x to both sides: 40x + 95186 = 0", "Subtract 95186 from both sides: 40x = -95186", "Divide both sides by 40: x = -47593/20"], "final_answer": "-47593/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 6799) = -26x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6799, \"c\": -26}", "seed": "11495480598511294620", "semantic_fingerprint": "sha256:515c52dd7c970b65052701a8b0b18cd324a3e8d4eb40e9237d2fd777b2139bc0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003659", "prompt": "Find x: 22(x - 5740) = 35(x - 3975)", "solution_steps": ["Expand: 22x - 126280 = 35(x - 3975)", "Expand: 22x - 126280 = 35x - 139125", "Subtract 35x from both sides: -13x - 126280 = -139125", "Add 126280 to both sides: -13x = -12845", "Divide both sides by -13: x = 12845/13"], "final_answer": "12845/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 5740) = 35(x - 3975)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5740, \"c\": 35, \"d\": 3975}", "seed": "1760084715046254022", "semantic_fingerprint": "sha256:82707f8da406f5c8c3cab038e29e8968aa074f9070c4e34c5120879230997fa1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003660", "prompt": "Compute: 56575 * (-6957 - (-63934))", "solution_steps": ["Subtract: -6957 - (-63934) = 56977", "Multiply: 56575 * 56977 = 3223473775"], "final_answer": "3223473775", "answer_type": "integer", "kind": "expression", "math_text": "56575 * (-6957 - (-63934))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56575, \"b\": -6957, \"c\": -63934}", "seed": "11110312658681099015", "semantic_fingerprint": "sha256:724aa3cd5c078492b5ff63b78d67184a6f201576363c1347097a489f1a37a050", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003661", "prompt": "What value of x satisfies 21(x + 3634) = 23x?", "solution_steps": ["Expand: 21x + 76314 = 23x", "Subtract 23x from both sides: -2x + 76314 = 0", "Subtract 76314 from both sides: -2x = -76314", "Divide both sides by -2: x = 38157"], "final_answer": "38157", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 3634) = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 3634, \"c\": 23}", "seed": "9148722489601875549", "semantic_fingerprint": "sha256:14ddf191e3df7f9121ef76c72e464e16c896cade1b09f5bb9caa50a3f5c02b2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003662", "prompt": "Find x: 34x = 13(x - 1906) + 73893", "solution_steps": ["Expand: 34x = 13x - 24778 + 73893", "Combine constants: 34x = 13x + 49115", "Subtract 13x from both sides: 21x = 49115", "Divide both sides by 21: x = 49115/21"], "final_answer": "49115/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x = 13(x - 1906) + 73893", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 13, \"c\": 1906, \"d\": 73893}", "seed": "1048447335251917401", "semantic_fingerprint": "sha256:48ec22657a253c34f74981b05b42f8e370f862872e1b2087bbde5ad884b207f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003663", "prompt": "Compute: -32181 - (-3970)", "solution_steps": ["Subtract: -32181 - (-3970) = -28211"], "final_answer": "-28211", "answer_type": "integer", "kind": "expression", "math_text": "-32181 - (-3970)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -32181, \"b\": -3970}", "seed": "773669979522885541", "semantic_fingerprint": "sha256:dbff1977af11d0d17f9916a264c2005f30242ec6e6bb21383378292aff2f5245", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003664", "prompt": "Compute: (-1916 - 2848) * 21169", "solution_steps": ["Subtract: -1916 - 2848 = -4764", "Multiply: -4764 * 21169 = -100849116"], "final_answer": "-100849116", "answer_type": "integer", "kind": "expression", "math_text": "(-1916 - 2848) * 21169", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1916, \"b\": 2848, \"c\": 21169}", "seed": "14454661390776437457", "semantic_fingerprint": "sha256:7af36d62ef564d8fb78916fe40b913290a7e8dc21fb6ef39e297e248db255ee7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003665", "prompt": "Calculate: 8017 + (-1582) + (-2001)", "solution_steps": ["Add: 8017 + (-1582) = 6435", "Add: 6435 + (-2001) = 4434"], "final_answer": "4434", "answer_type": "integer", "kind": "expression", "math_text": "8017 + (-1582) + (-2001)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8017, \"b\": -1582, \"c\": -2001}", "seed": "986358545194204877", "semantic_fingerprint": "sha256:24ad0b9a8ef5a574e6c047eb71e40d35d5e556c2c243dd31bc3e6d996011516d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003666", "prompt": "Compute: -9023 + (19055 + (-4562) - (-8242))", "solution_steps": ["Add: 19055 + (-4562) = 14493", "Subtract: 14493 - (-8242) = 22735", "Add: -9023 + 22735 = 13712"], "final_answer": "13712", "answer_type": "integer", "kind": "expression", "math_text": "-9023 + (19055 + (-4562) - (-8242))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9023, \"b\": 19055, \"c\": -4562, \"d\": -8242}", "seed": "11236039250388412076", "semantic_fingerprint": "sha256:a627ddcd643c1697ad2e46d93f2c33db9d83c026ebb822539a2caa850d0bfb1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003667", "prompt": "What is 95288 + 2296?", "solution_steps": ["Add: 95288 + 2296 = 97584"], "final_answer": "97584", "answer_type": "integer", "kind": "expression", "math_text": "95288 + 2296", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 95288, \"b\": 2296}", "seed": "2774618976861258439", "semantic_fingerprint": "sha256:b9db4f455417fc5bafd1108f66aab7f0c5029776e7bf301d929521b6eb7c55d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003668", "prompt": "What value of x satisfies x + 75400 = 15(x + 4924)?", "solution_steps": ["Expand: x + 75400 = 15x + 73860", "Subtract 15x from both sides: -14x + 75400 = 73860", "Subtract 75400 from both sides: -14x = -1540", "Divide both sides by -14: x = 110"], "final_answer": "110", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 75400 = 15(x + 4924)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4924, \"d\": 75400, \"x\": 110}", "seed": "12156519863955754076", "semantic_fingerprint": "sha256:1adfdd91c4bb2c89dbc2f0ce7fb557a4d8fd71e390b4d385fe03ebe23f425fc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003669", "prompt": "Evaluate: -60969 - 98987", "solution_steps": ["Subtract: -60969 - 98987 = -159956"], "final_answer": "-159956", "answer_type": "integer", "kind": "expression", "math_text": "-60969 - 98987", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -60969, \"b\": 98987}", "seed": "15597562136203667202", "semantic_fingerprint": "sha256:719c0a01d2219015686c2b6e65836d30505c6a886ad0f2fc5bbd8f1ab0258e57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003670", "prompt": "Evaluate: -1838 * 7106 - (-44826) * (-90200)", "solution_steps": ["Multiply: -1838 * 7106 = -13060828", "Multiply: -44826 * (-90200) = 4043305200", "Subtract: -13060828 - 4043305200 = -4056366028"], "final_answer": "-4056366028", "answer_type": "integer", "kind": "expression", "math_text": "-1838 * 7106 - (-44826) * (-90200)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1838, \"b\": 7106, \"c\": -44826, \"d\": -90200}", "seed": "3219515965471169966", "semantic_fingerprint": "sha256:6da0e5ac40725e556d71d0cb8f34c325014c2a1195f2f78a9e1b225b0c4fb9ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003671", "prompt": "Calculate: -9190 - 9602", "solution_steps": ["Subtract: -9190 - 9602 = -18792"], "final_answer": "-18792", "answer_type": "integer", "kind": "expression", "math_text": "-9190 - 9602", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9190, \"b\": 9602}", "seed": "13877697133293367654", "semantic_fingerprint": "sha256:5d904f7c0b76147f1529b5bdf12e5f4a387e1578fc10de8f2b985738e568e9eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003672", "prompt": "Calculate: 83364 * (-9637)", "solution_steps": ["Multiply: 83364 * (-9637) = -803378868"], "final_answer": "-803378868", "answer_type": "integer", "kind": "expression", "math_text": "83364 * (-9637)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 83364, \"b\": -9637}", "seed": "976763688205787719", "semantic_fingerprint": "sha256:3f2bf0cbc3767cb0ee30a8da38b1eb9ef5e343fb1bed5f2c023f33d58901a953", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003673", "prompt": "Find x: 38(x - 47842) - 70997 = 26x - 4584", "solution_steps": ["Expand: 38x - 1817996 - 70997 = 26x - 4584", "Combine constants: 38x - 1888993 = 26x - 4584", "Subtract 26x from both sides: 12x - 1888993 = -4584", "Add 1888993 to both sides: 12x = 1884409", "Divide both sides by 12: x = 1884409/12"], "final_answer": "1884409/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 47842) - 70997 = 26x - 4584", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 47842, \"c\": 70997, \"d\": 26, \"e\": 4584}", "seed": "2496976729625088582", "semantic_fingerprint": "sha256:031130f9d5c40a8dffbf828b677d6ebb0378afaa3d74ae40cb649a7eab68ecfd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003674", "prompt": "Solve the equation 21x = 17(x + 2130) for x.", "solution_steps": ["Expand: 21x = 17x + 36210", "Subtract 17x from both sides: 4x = 36210", "Divide both sides by 4: x = 18105/2"], "final_answer": "18105/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x = 17(x + 2130)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 17, \"c\": 2130}", "seed": "8472668783589439269", "semantic_fingerprint": "sha256:e131e810323b72f74b8727379d99f235b0d4fb8d55987bff301b739557fd42d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003675", "prompt": "Find x: 17(x + 2930) = 30(x - 26796)", "solution_steps": ["Expand: 17x + 49810 = 30(x - 26796)", "Expand: 17x + 49810 = 30x - 803880", "Subtract 30x from both sides: -13x + 49810 = -803880", "Subtract 49810 from both sides: -13x = -853690", "Divide both sides by -13: x = 853690/13"], "final_answer": "853690/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 2930) = 30(x - 26796)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2930, \"c\": 30, \"d\": 26796}", "seed": "10016533221007645601", "semantic_fingerprint": "sha256:bbd3482ae8c72e78aa145e85bfcd791ec9593dccae72155f304f54d31e4187e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003676", "prompt": "Solve for x: -20(x - 3252) - 76640 = 38x", "solution_steps": ["Expand: -20x + 65040 - 76640 = 38x", "Combine constants: -20x - 11600 = 38x", "Subtract 38x from both sides: -58x - 11600 = 0", "Add 11600 to both sides: -58x = 11600", "Divide both sides by -58: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x - 3252) - 76640 = 38x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 3252, \"c\": 38, \"e\": -76640, \"x\": -200}", "seed": "9542779320811901598", "semantic_fingerprint": "sha256:45f60d1cc41c32808455e4c38ef5fabcb64b80c4fa01fb57a90ba38fd08cd5ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003677", "prompt": "What is 4681 * (79347 - (9738 * (-2147) + 7413))?", "solution_steps": ["Multiply: 9738 * (-2147) = -20907486", "Add: -20907486 + 7413 = -20900073", "Subtract: 79347 - (-20900073) = 20979420", "Multiply: 4681 * 20979420 = 98204665020"], "final_answer": "98204665020", "answer_type": "integer", "kind": "expression", "math_text": "4681 * (79347 - (9738 * (-2147) + 7413))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (+ (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4681, \"b\": 79347, \"c\": 9738, \"d\": -2147, \"e\": 7413}", "seed": "6757989614038127961", "semantic_fingerprint": "sha256:d561cdd59cb07989c4733d180db5f590c724467e4ba59fcf083a2678d4e7de71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003678", "prompt": "What is 8689 - 93294 / (-4865) + (-1091 + 2567)?", "solution_steps": ["Divide: 93294 / (-4865) = -93294/4865", "Subtract: 8689 - (-93294/4865) = 42365279/4865", "Add: -1091 + 2567 = 1476", "Add: 42365279/4865 + 1476 = 49546019/4865"], "final_answer": "49546019/4865", "answer_type": "rational", "kind": "expression", "math_text": "8689 - 93294 / (-4865) + (-1091 + 2567)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8689, \"b\": 93294, \"c\": -4865, \"d\": -1091, \"e\": 2567}", "seed": "14904800680368137038", "semantic_fingerprint": "sha256:4c9920da9d7d3430d7c167e1e0bc5cd00560a0a5a029a25d0060d91deb5d8b63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003679", "prompt": "Solve the equation 14x - 10711 = -9031 for x.", "solution_steps": ["Add 10711 to both sides: 14x = 1680", "Divide both sides by 14: x = 120"], "final_answer": "120", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 10711 = -9031", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 10711, \"d\": -9031, \"x\": 120}", "seed": "18094875144051079835", "semantic_fingerprint": "sha256:83a95b9b4299055ccf10fc6d91366527bab3aead88bb730f6dba7e0f20620e71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003680", "prompt": "Compute: -53315 - 43424", "solution_steps": ["Subtract: -53315 - 43424 = -96739"], "final_answer": "-96739", "answer_type": "integer", "kind": "expression", "math_text": "-53315 - 43424", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -53315, \"b\": 43424}", "seed": "12985143487478347589", "semantic_fingerprint": "sha256:e0b1ade51a4dd0ca83dd76960a92364d816022af866549a7a18652bbe72af752", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003681", "prompt": "What is -5670 / (-3361) - (-24746)?", "solution_steps": ["Divide: -5670 / (-3361) = 5670/3361", "Subtract: 5670/3361 - (-24746) = 83176976/3361"], "final_answer": "83176976/3361", "answer_type": "rational", "kind": "expression", "math_text": "-5670 / (-3361) - (-24746)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5670, \"b\": -3361, \"c\": -24746}", "seed": "3183798362364039610", "semantic_fingerprint": "sha256:bd9e300460491f8b6aa4d81b35cfae1d66ca7d5f273fc52f2df40b047b1bad9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003682", "prompt": "What value of x satisfies -32x - 81807 = x + 7582?", "solution_steps": ["Subtract x from both sides: -33x - 81807 = 7582", "Add 81807 to both sides: -33x = 89389", "Divide both sides by -33: x = -89389/33"], "final_answer": "-89389/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x - 81807 = x + 7582", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 81807, \"c\": 7582}", "seed": "6266711763667552464", "semantic_fingerprint": "sha256:e156423ef7412f90cc7088deb72d046884beed9a7928c50ddb90cd86352947c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003683", "prompt": "Find x: x + 6371 = 19(x - 8437) - 9817", "solution_steps": ["Expand: x + 6371 = 19x - 160303 - 9817", "Combine constants: x + 6371 = 19x - 170120", "Subtract 19x from both sides: -18x + 6371 = -170120", "Subtract 6371 from both sides: -18x = -176491", "Divide both sides by -18: x = 176491/18"], "final_answer": "176491/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6371 = 19(x - 8437) - 9817", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6371, \"b\": 19, \"c\": 8437, \"d\": 9817}", "seed": "461567792301222", "semantic_fingerprint": "sha256:8989fbc5e80572c7499f91a75cbe1556900c7c4ff7961ccc9416f847aad65601", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003684", "prompt": "Evaluate: 7557 / (9278 + (-42325))", "solution_steps": ["Add: 9278 + (-42325) = -33047", "Divide: 7557 / (-33047) = -7557/33047"], "final_answer": "-7557/33047", "answer_type": "rational", "kind": "expression", "math_text": "7557 / (9278 + (-42325))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7557, \"b\": 9278, \"c\": -42325}", "seed": "10661424461406466059", "semantic_fingerprint": "sha256:810e251bb4879b2081692b48858cdd0e84eb3c898fd609316acb21d3ba114690", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003685", "prompt": "Solve the equation x - 1344 = -1411 for x.", "solution_steps": ["Add 1344 to both sides: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1344 = -1411", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1344, \"c\": -1411, \"x\": -67}", "seed": "13366957842172061426", "semantic_fingerprint": "sha256:806aa3f89def626f0a360c8dd8da1d16ad7ec4685a0826a7e71cd7f6368d1c55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003686", "prompt": "Calculate: 9017 - 1122", "solution_steps": ["Subtract: 9017 - 1122 = 7895"], "final_answer": "7895", "answer_type": "integer", "kind": "expression", "math_text": "9017 - 1122", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9017, \"b\": 1122}", "seed": "15255463319208864762", "semantic_fingerprint": "sha256:133d7ddde3c56b93dc83ef507e46fc21d29a3e1b9f8e93495085bc670238e14f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003687", "prompt": "Calculate: -7933 - 99408", "solution_steps": ["Subtract: -7933 - 99408 = -107341"], "final_answer": "-107341", "answer_type": "integer", "kind": "expression", "math_text": "-7933 - 99408", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7933, \"b\": 99408}", "seed": "748509903146434624", "semantic_fingerprint": "sha256:4806942ac0b528d2b30f51f840dd60366076dc0b97e316d2d0ba2e01bd3ba7ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003688", "prompt": "Solve the equation 25x - 23177 = x - 20273 for x.", "solution_steps": ["Subtract x from both sides: 24x - 23177 = -20273", "Add 23177 to both sides: 24x = 2904", "Divide both sides by 24: x = 121"], "final_answer": "121", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x - 23177 = x - 20273", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 23177, \"d\": -20273, \"x\": 121}", "seed": "14308022652403357954", "semantic_fingerprint": "sha256:989b395ea1169be61b4e1578418f616357517874142ee116fccfac8167034ff6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003689", "prompt": "Compute: -69565 - (-4350 - 6915)", "solution_steps": ["Subtract: -4350 - 6915 = -11265", "Subtract: -69565 - (-11265) = -58300"], "final_answer": "-58300", "answer_type": "integer", "kind": "expression", "math_text": "-69565 - (-4350 - 6915)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69565, \"b\": -4350, \"c\": 6915}", "seed": "9980063632085533093", "semantic_fingerprint": "sha256:ae7b80b1ae5ee01514d463d513fc85c555c18ce4a6298abc46899251a1a29860", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003690", "prompt": "Compute: (-5263 - (-6645)) / (-9423) - (-69011)", "solution_steps": ["Subtract: -5263 - (-6645) = 1382", "Divide: 1382 / (-9423) = -1382/9423", "Subtract: -1382/9423 - (-69011) = 650289271/9423"], "final_answer": "650289271/9423", "answer_type": "rational", "kind": "expression", "math_text": "(-5263 - (-6645)) / (-9423) - (-69011)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5263, \"b\": -6645, \"c\": -9423, \"d\": -69011}", "seed": "7861342561944494848", "semantic_fingerprint": "sha256:f18532f0118ee9e6a359f96365da4d1bdced40fef2372e450cb5c944707b626f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003691", "prompt": "What value of x satisfies 21x + 9938 = -24x + 15653?", "solution_steps": ["Add 24x to both sides: 45x + 9938 = 15653", "Subtract 9938 from both sides: 45x = 5715", "Divide both sides by 45: x = 127"], "final_answer": "127", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 9938 = -24x + 15653", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9938, \"c\": -24, \"e\": 15653, \"x\": 127}", "seed": "12953476677763954312", "semantic_fingerprint": "sha256:4f0f4fcdafad171c4f3759acc7355720720ec9cc378482617fa685ad5b2d8bfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003692", "prompt": "Solve the equation 28x - 5126 = x - 3155 for x.", "solution_steps": ["Subtract x from both sides: 27x - 5126 = -3155", "Add 5126 to both sides: 27x = 1971", "Divide both sides by 27: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 5126 = x - 3155", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 5126, \"d\": -3155, \"x\": 73}", "seed": "4623950499922675030", "semantic_fingerprint": "sha256:c8f83189c7ad6a64295efcd28707b22fdd6d5eed9217b2b55e45f9ee96a42102", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003693", "prompt": "Solve for x: 23x - 1741 = 6996", "solution_steps": ["Add 1741 to both sides: 23x = 8737", "Divide both sides by 23: x = 8737/23"], "final_answer": "8737/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x - 1741 = 6996", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1741, \"c\": 6996}", "seed": "7040091654813562407", "semantic_fingerprint": "sha256:7d051798f95a3344b91ddb8f7bf7df9fbb6ea11739e99ba77d1f97ba2dee359d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003694", "prompt": "Compute: 69194 - 8464 + (-6574)", "solution_steps": ["Subtract: 69194 - 8464 = 60730", "Add: 60730 + (-6574) = 54156"], "final_answer": "54156", "answer_type": "integer", "kind": "expression", "math_text": "69194 - 8464 + (-6574)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69194, \"b\": 8464, \"c\": -6574}", "seed": "17953903000925231535", "semantic_fingerprint": "sha256:db274c53a567be485282703f98056320c4f1fb0c8360f49085b442fbba257c8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003695", "prompt": "Calculate: -2724 - (-38560) + (-83158)", "solution_steps": ["Subtract: -2724 - (-38560) = 35836", "Add: 35836 + (-83158) = -47322"], "final_answer": "-47322", "answer_type": "integer", "kind": "expression", "math_text": "-2724 - (-38560) + (-83158)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2724, \"b\": -38560, \"c\": -83158}", "seed": "1800571820452806092", "semantic_fingerprint": "sha256:4ce20837a2af92c14a85ffcc4e22b1f9dcbf2dd0af286e439e2c69b98dda4189", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003696", "prompt": "Calculate: -5098 + 3905 + (-46372 - (70057 + 96859) - (-5940))", "solution_steps": ["Add: -5098 + 3905 = -1193", "Add: 70057 + 96859 = 166916", "Subtract: -46372 - 166916 = -213288", "Subtract: -213288 - (-5940) = -207348", "Add: -1193 + (-207348) = -208541"], "final_answer": "-208541", "answer_type": "integer", "kind": "expression", "math_text": "-5098 + 3905 + (-46372 - (70057 + 96859) - (-5940))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5098, \"b\": 3905, \"c\": -46372, \"d\": 70057, \"e\": 96859, \"f\": -5940}", "seed": "7489998957861048086", "semantic_fingerprint": "sha256:8223812cd58c0c0a23fecdd23224fce6f8fde14f7a9a12f3bf96f4acbffedb66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003697", "prompt": "Evaluate: 80870 + (-2536 + (-44874)) * 7642", "solution_steps": ["Add: -2536 + (-44874) = -47410", "Multiply: -47410 * 7642 = -362307220", "Add: 80870 + (-362307220) = -362226350"], "final_answer": "-362226350", "answer_type": "integer", "kind": "expression", "math_text": "80870 + (-2536 + (-44874)) * 7642", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80870, \"b\": -2536, \"c\": -44874, \"d\": 7642}", "seed": "17781139369094271348", "semantic_fingerprint": "sha256:0bd1e6238ea9498e5e4d66d0d8ca78a655f966588da3e04d2c743dba65a3a776", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003698", "prompt": "Solve for x: x + 1324 = 22x + 2962", "solution_steps": ["Subtract 22x from both sides: -21x + 1324 = 2962", "Subtract 1324 from both sides: -21x = 1638", "Divide both sides by -21: x = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1324 = 22x + 2962", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1324, \"b\": 22, \"d\": 2962, \"x\": -78}", "seed": "11313861947125021847", "semantic_fingerprint": "sha256:6e0e3a27c76d8257c979815754111df28b5aa8e7ee161aacf55414a61b2732c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003699", "prompt": "What is -8035 - (-25618) + (-1933)?", "solution_steps": ["Subtract: -8035 - (-25618) = 17583", "Add: 17583 + (-1933) = 15650"], "final_answer": "15650", "answer_type": "integer", "kind": "expression", "math_text": "-8035 - (-25618) + (-1933)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8035, \"b\": -25618, \"c\": -1933}", "seed": "15123070600664938732", "semantic_fingerprint": "sha256:b5d5f4badaffcb5a3e12c21dd975cbd1c7405acec2761f143c04e5630e225c85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003700", "prompt": "Evaluate: 8370 + 10928", "solution_steps": ["Add: 8370 + 10928 = 19298"], "final_answer": "19298", "answer_type": "integer", "kind": "expression", "math_text": "8370 + 10928", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8370, \"b\": 10928}", "seed": "9861262964823105512", "semantic_fingerprint": "sha256:d181f7c66d49a1e6521a1d1eb13159703d25cb72cf821d6da65ce605131d1a61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003701", "prompt": "Find x: -14x = 33(x - 2697)", "solution_steps": ["Expand: -14x = 33x - 89001", "Subtract 33x from both sides: -47x = -89001", "Divide both sides by -47: x = 89001/47"], "final_answer": "89001/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x = 33(x - 2697)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 33, \"c\": 2697}", "seed": "14772498235802641412", "semantic_fingerprint": "sha256:3e2c9a4e38239ac23c7988f436f9b17b771f6ccd486b159d5f871fddb0d91934", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003702", "prompt": "What is (31616 / (-23486) - (-4339)) * (-8192) + (-67741 - 97704)?", "solution_steps": ["Divide: 31616 / (-23486) = -15808/11743", "Subtract: -15808/11743 - (-4339) = 50937069/11743", "Multiply: (50937069/11743) * (-8192) = -417276469248/11743", "Subtract: -67741 - 97704 = -165445", "Add: -417276469248/11743 + (-165445) = -419219289883/11743"], "final_answer": "-419219289883/11743", "answer_type": "rational", "kind": "expression", "math_text": "(31616 / (-23486) - (-4339)) * (-8192) + (-67741 - 97704)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31616, \"b\": -23486, \"c\": -4339, \"d\": -8192, \"e\": -67741, \"f\": 97704}", "seed": "9572140803205713833", "semantic_fingerprint": "sha256:5b23934fc6ad10510dcf5511a668fcc4f81e331ce307136ff4d282d64a131850", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003703", "prompt": "Calculate: (7846 + (-7148) - (-3182)) / (4303 - 86532)", "solution_steps": ["Add: 7846 + (-7148) = 698", "Subtract: 698 - (-3182) = 3880", "Subtract: 4303 - 86532 = -82229", "Divide: 3880 / (-82229) = -3880/82229"], "final_answer": "-3880/82229", "answer_type": "rational", "kind": "expression", "math_text": "(7846 + (-7148) - (-3182)) / (4303 - 86532)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7846, \"b\": -7148, \"c\": -3182, \"d\": 4303, \"e\": 86532}", "seed": "17143435940181845554", "semantic_fingerprint": "sha256:b6650e28c81a697bf517598a020a379032baa161a2606ded82b09033317f2587", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003704", "prompt": "Evaluate: 6153 - 98130 * (-71119) - (-2077 - (-6217))", "solution_steps": ["Multiply: 98130 * (-71119) = -6978907470", "Subtract: 6153 - (-6978907470) = 6978913623", "Subtract: -2077 - (-6217) = 4140", "Subtract: 6978913623 - 4140 = 6978909483"], "final_answer": "6978909483", "answer_type": "integer", "kind": "expression", "math_text": "6153 - 98130 * (-71119) - (-2077 - (-6217))", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6153, \"b\": 98130, \"c\": -71119, \"d\": -2077, \"e\": -6217}", "seed": "8461315588724374796", "semantic_fingerprint": "sha256:27df895f8e71fc8af800f822439d5ba6ed483263b65129071f80c0c30eca9a56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003705", "prompt": "What value of x satisfies -33(x - 1065) = 27(x + 53156) + 7707?", "solution_steps": ["Expand: -33x + 35145 = 27(x + 53156) + 7707", "Expand: -33x + 35145 = 27x + 1435212 + 7707", "Combine constants: -33x + 35145 = 27x + 1442919", "Subtract 27x from both sides: -60x + 35145 = 1442919", "Subtract 35145 from both sides: -60x = 1407774", "Divide both sides by -60: x = -234629/10"], "final_answer": "-234629/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 1065) = 27(x + 53156) + 7707", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 1065, \"c\": 27, \"d\": 53156, \"e\": 7707}", "seed": "1121863245445588740", "semantic_fingerprint": "sha256:4efdd83725b71157025f87bf584e9f32a9678e7a382a31b4b9f91071faf0ec39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003706", "prompt": "What is (-62355 - (-24897)) * (-5686)?", "solution_steps": ["Subtract: -62355 - (-24897) = -37458", "Multiply: -37458 * (-5686) = 212986188"], "final_answer": "212986188", "answer_type": "integer", "kind": "expression", "math_text": "(-62355 - (-24897)) * (-5686)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62355, \"b\": -24897, \"c\": -5686}", "seed": "1002270941882436286", "semantic_fingerprint": "sha256:21dee091b43158fdcb7c517b2965d7cba6d5bbb7c9efaf4cb8838f65b7d89c51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003707", "prompt": "What is (16691 + 9135 * (-4429) + (-8069)) / (-8233 - (-55590))?", "solution_steps": ["Multiply: 9135 * (-4429) = -40458915", "Add: 16691 + (-40458915) = -40442224", "Add: -40442224 + (-8069) = -40450293", "Subtract: -8233 - (-55590) = 47357", "Divide: -40450293 / 47357 = -40450293/47357"], "final_answer": "-40450293/47357", "answer_type": "rational", "kind": "expression", "math_text": "(16691 + 9135 * (-4429) + (-8069)) / (-8233 - (-55590))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (* n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16691, \"b\": 9135, \"c\": -4429, \"d\": -8069, \"e\": -8233, \"f\": -55590}", "seed": "11224237123844026758", "semantic_fingerprint": "sha256:cf970d34d1b131d141b520baf07134f6079b75749580c577aeea9afe603a0fb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003708", "prompt": "Solve for x: x + 2864 = 31(x - 51761) - 3417", "solution_steps": ["Expand: x + 2864 = 31x - 1604591 - 3417", "Combine constants: x + 2864 = 31x - 1608008", "Subtract 31x from both sides: -30x + 2864 = -1608008", "Subtract 2864 from both sides: -30x = -1610872", "Divide both sides by -30: x = 805436/15"], "final_answer": "805436/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2864 = 31(x - 51761) - 3417", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2864, \"b\": 31, \"c\": 51761, \"d\": 3417}", "seed": "12745157283120443816", "semantic_fingerprint": "sha256:1faf9b0c8ef117e51c1997f570052b2b450f59009917c910d80ce205013aa387", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003709", "prompt": "What is 44506 - (9013 + (-7437 + (-3494)) + 3260)?", "solution_steps": ["Add: -7437 + (-3494) = -10931", "Add: 9013 + (-10931) = -1918", "Add: -1918 + 3260 = 1342", "Subtract: 44506 - 1342 = 43164"], "final_answer": "43164", "answer_type": "integer", "kind": "expression", "math_text": "44506 - (9013 + (-7437 + (-3494)) + 3260)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 44506, \"b\": 9013, \"c\": -7437, \"d\": -3494, \"e\": 3260}", "seed": "1166309497317394187", "semantic_fingerprint": "sha256:d8dcba2411664620fec9725c330ea26d226e6df0897cb85fd7b1e9604f947507", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003710", "prompt": "What value of x satisfies -20x - 13323 = -54794?", "solution_steps": ["Add 13323 to both sides: -20x = -41471", "Divide both sides by -20: x = 41471/20"], "final_answer": "41471/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x - 13323 = -54794", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 13323, \"c\": -54794}", "seed": "5517584627763802870", "semantic_fingerprint": "sha256:b578f3a8c25197e3f6f0ad82cc52bc5af7e157e1d767193bf0c0e3ccf8466420", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003711", "prompt": "Solve for x: 24x + 6703 = 10639", "solution_steps": ["Subtract 6703 from both sides: 24x = 3936", "Divide both sides by 24: x = 164"], "final_answer": "164", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 6703 = 10639", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6703, \"d\": 10639, \"x\": 164}", "seed": "8837995686438271681", "semantic_fingerprint": "sha256:02e5f4a03f1562ffc1df632feeaed219b34a41018245f787c177c9d86a5e9cd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003712", "prompt": "Solve for x: 15(x + 9350) = -39(x + 1300)", "solution_steps": ["Expand: 15x + 140250 = -39(x + 1300)", "Expand: 15x + 140250 = -39x - 50700", "Add 39x to both sides: 54x + 140250 = -50700", "Subtract 140250 from both sides: 54x = -190950", "Divide both sides by 54: x = -31825/9"], "final_answer": "-31825/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 9350) = -39(x + 1300)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 9350, \"c\": -39, \"d\": 1300}", "seed": "16622870524809702382", "semantic_fingerprint": "sha256:027c5227dd3f19433c3b82ddfbfd0e2e0dd97c10390104d4b224ac0662617b4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003713", "prompt": "Find x: x + 6540 = 16(x - 5026)", "solution_steps": ["Expand: x + 6540 = 16x - 80416", "Subtract 16x from both sides: -15x + 6540 = -80416", "Subtract 6540 from both sides: -15x = -86956", "Divide both sides by -15: x = 86956/15"], "final_answer": "86956/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6540 = 16(x - 5026)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6540, \"b\": 16, \"c\": 5026}", "seed": "15993677401918765875", "semantic_fingerprint": "sha256:c0a9c56c8daf765ae6b1ecd1908aa101f0df4411c9ff88dd66bee090d092bed0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003714", "prompt": "What value of x satisfies x - 4598 = 39x?", "solution_steps": ["Subtract 39x from both sides: -38x - 4598 = 0", "Add 4598 to both sides: -38x = 4598", "Divide both sides by -38: x = -121"], "final_answer": "-121", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4598 = 39x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": -4598, \"x\": -121}", "seed": "171307081048557279", "semantic_fingerprint": "sha256:4ec68244bcd781ba0f12dc63b59b33af77700d1783906730a5302e2659ca3cd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003715", "prompt": "What value of x satisfies x + 3106 = 26x + 3168?", "solution_steps": ["Subtract 26x from both sides: -25x + 3106 = 3168", "Subtract 3106 from both sides: -25x = 62", "Divide both sides by -25: x = -62/25"], "final_answer": "-62/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3106 = 26x + 3168", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3106, \"b\": 26, \"c\": 3168}", "seed": "15222512868164783459", "semantic_fingerprint": "sha256:23f5a43a24ff93911c90844f6880c6c13b59f768756cf8d896531aadf34b80bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003716", "prompt": "Evaluate: -84047 + 8918 + (44370 + (-33706))", "solution_steps": ["Add: -84047 + 8918 = -75129", "Add: 44370 + (-33706) = 10664", "Add: -75129 + 10664 = -64465"], "final_answer": "-64465", "answer_type": "integer", "kind": "expression", "math_text": "-84047 + 8918 + (44370 + (-33706))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -84047, \"b\": 8918, \"c\": 44370, \"d\": -33706}", "seed": "10344321590494095925", "semantic_fingerprint": "sha256:96180541e37b2e936176a995be77e2bfecbc30ac315af68738504f3d821dc4a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003717", "prompt": "Compute: -2657 / 56090 * (-45647 + (-4229))", "solution_steps": ["Divide: -2657 / 56090 = -2657/56090", "Add: -45647 + (-4229) = -49876", "Multiply: (-2657/56090) * (-49876) = 66260266/28045"], "final_answer": "66260266/28045", "answer_type": "rational", "kind": "expression", "math_text": "-2657 / 56090 * (-45647 + (-4229))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2657, \"b\": 56090, \"c\": -45647, \"d\": -4229}", "seed": "3798384929856369111", "semantic_fingerprint": "sha256:183870ba5d39a39f58c53305dcf5aa6b866a3bd46d2349100ee67b96a48393ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003718", "prompt": "What is -49182 * (-97903 / (-14501))?", "solution_steps": ["Divide: -97903 / (-14501) = 5759/853", "Multiply: -49182 * (5759/853) = -283239138/853"], "final_answer": "-283239138/853", "answer_type": "rational", "kind": "expression", "math_text": "-49182 * (-97903 / (-14501))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49182, \"b\": -97903, \"c\": -14501}", "seed": "14767088717853660827", "semantic_fingerprint": "sha256:0d864b3628adf1a46b5ac301ad1d76e45e799300992bcce62b77f5943bcddc55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003719", "prompt": "Calculate: -73970 * (-17017)", "solution_steps": ["Multiply: -73970 * (-17017) = 1258747490"], "final_answer": "1258747490", "answer_type": "integer", "kind": "expression", "math_text": "-73970 * (-17017)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -73970, \"b\": -17017}", "seed": "10654765829907365888", "semantic_fingerprint": "sha256:2838c3e3040c5a9c7d5f37cc440058da0491a209e8be3b2d8d3475185ff38c4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003720", "prompt": "Calculate: 97459 - (-99517) - (26268 + (-91610) - 8993)", "solution_steps": ["Subtract: 97459 - (-99517) = 196976", "Add: 26268 + (-91610) = -65342", "Subtract: -65342 - 8993 = -74335", "Subtract: 196976 - (-74335) = 271311"], "final_answer": "271311", "answer_type": "integer", "kind": "expression", "math_text": "97459 - (-99517) - (26268 + (-91610) - 8993)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 97459, \"b\": -99517, \"c\": 26268, \"d\": -91610, \"e\": 8993}", "seed": "6663724537971595615", "semantic_fingerprint": "sha256:0594ed46c645fde184fb1644a7cac22f39b5ad899ae2115f699ad4320c2f34b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003721", "prompt": "What is -3491 * 5051?", "solution_steps": ["Multiply: -3491 * 5051 = -17633041"], "final_answer": "-17633041", "answer_type": "integer", "kind": "expression", "math_text": "-3491 * 5051", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3491, \"b\": 5051}", "seed": "5639669614855124403", "semantic_fingerprint": "sha256:6d2e7c59b1172a19cae53c071e76678f5893351901f7dff3f7a134a2036182cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003722", "prompt": "Find x: -29(x - 4523) + 1170 = 18x - 21885", "solution_steps": ["Expand: -29x + 131167 + 1170 = 18x - 21885", "Combine constants: -29x + 132337 = 18x - 21885", "Subtract 18x from both sides: -47x + 132337 = -21885", "Subtract 132337 from both sides: -47x = -154222", "Divide both sides by -47: x = 154222/47"], "final_answer": "154222/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 4523) + 1170 = 18x - 21885", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 4523, \"c\": 1170, \"d\": 18, \"e\": 21885}", "seed": "4934254469936063103", "semantic_fingerprint": "sha256:a38b2ecced4f880fcd855d7953c5a4be112e03be708727664c66064754aae347", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003723", "prompt": "Calculate: -2109 / (-6796)", "solution_steps": ["Divide: -2109 / (-6796) = 2109/6796"], "final_answer": "2109/6796", "answer_type": "rational", "kind": "expression", "math_text": "-2109 / (-6796)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2109, \"b\": -6796}", "seed": "12415188734009115136", "semantic_fingerprint": "sha256:4251fd33fa7701afd9bac5f1a808a5233c94faedaf615b1b0bf3a8e1762b5388", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003724", "prompt": "Compute: 4165 * (5846 / (-9050))", "solution_steps": ["Divide: 5846 / (-9050) = -2923/4525", "Multiply: 4165 * (-2923/4525) = -2434859/905"], "final_answer": "-2434859/905", "answer_type": "rational", "kind": "expression", "math_text": "4165 * (5846 / (-9050))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4165, \"b\": 5846, \"c\": -9050}", "seed": "8996738957659056457", "semantic_fingerprint": "sha256:c1a800e47542de421656aedf516a9cc8510e39896ceb48419cdc710994cd8537", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003725", "prompt": "What is -96255 - (69886 + 77972 + (-9840))?", "solution_steps": ["Add: 69886 + 77972 = 147858", "Add: 147858 + (-9840) = 138018", "Subtract: -96255 - 138018 = -234273"], "final_answer": "-234273", "answer_type": "integer", "kind": "expression", "math_text": "-96255 - (69886 + 77972 + (-9840))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -96255, \"b\": 69886, \"c\": 77972, \"d\": -9840}", "seed": "14214304050351928369", "semantic_fingerprint": "sha256:2712ff0b8a6953ea60efc27512efdb627e860cec42679517d2cb11a888644449", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003726", "prompt": "Evaluate: -8856 / 29384 + 2208", "solution_steps": ["Divide: -8856 / 29384 = -1107/3673", "Add: -1107/3673 + 2208 = 8108877/3673"], "final_answer": "8108877/3673", "answer_type": "rational", "kind": "expression", "math_text": "-8856 / 29384 + 2208", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8856, \"b\": 29384, \"c\": 2208}", "seed": "2835511383528708543", "semantic_fingerprint": "sha256:c9976fea7b0aa61ccec15692ea7329f0a3e3feec702218320615fc66f7738347", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003727", "prompt": "Calculate: -4676 - (-87395 - (-62521))", "solution_steps": ["Subtract: -87395 - (-62521) = -24874", "Subtract: -4676 - (-24874) = 20198"], "final_answer": "20198", "answer_type": "integer", "kind": "expression", "math_text": "-4676 - (-87395 - (-62521))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4676, \"b\": -87395, \"c\": -62521}", "seed": "3157646537927198666", "semantic_fingerprint": "sha256:94ce9fa19d32452f92cdf2094358cc831f2b2dad6e7e8bc284dc55157fd9b0cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003728", "prompt": "Calculate: 5632 * (-6696) - (-5307) / 3839", "solution_steps": ["Multiply: 5632 * (-6696) = -37711872", "Divide: -5307 / 3839 = -5307/3839", "Subtract: -37711872 - (-5307/3839) = -144775871301/3839"], "final_answer": "-144775871301/3839", "answer_type": "rational", "kind": "expression", "math_text": "5632 * (-6696) - (-5307) / 3839", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5632, \"b\": -6696, \"c\": -5307, \"d\": 3839}", "seed": "16164375891668794536", "semantic_fingerprint": "sha256:df79a937aa2413d753bb494237a5f351b49ffdba933e8cae75c224deec10c59c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003729", "prompt": "What is -16514 - (7742 * (-85056 / (-28345)) + (75155 + (-85214)))?", "solution_steps": ["Divide: -85056 / (-28345) = 85056/28345", "Multiply: 7742 * (85056/28345) = 658503552/28345", "Add: 75155 + (-85214) = -10059", "Add: 658503552/28345 + (-10059) = 373381197/28345", "Subtract: -16514 - 373381197/28345 = -841470527/28345"], "final_answer": "-841470527/28345", "answer_type": "rational", "kind": "expression", "math_text": "-16514 - (7742 * (-85056 / (-28345)) + (75155 + (-85214)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16514, \"b\": 7742, \"c\": -85056, \"d\": -28345, \"e\": 75155, \"f\": -85214}", "seed": "15919728200830869219", "semantic_fingerprint": "sha256:8d8dc4248352ef2e477469206f06a72c1e2fd672b1c4f4efbf3bdd5bc0876e95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003730", "prompt": "Compute: -8060 - (-1623) + 6122 / (-3579)", "solution_steps": ["Subtract: -8060 - (-1623) = -6437", "Divide: 6122 / (-3579) = -6122/3579", "Add: -6437 + (-6122/3579) = -23044145/3579"], "final_answer": "-23044145/3579", "answer_type": "rational", "kind": "expression", "math_text": "-8060 - (-1623) + 6122 / (-3579)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8060, \"b\": -1623, \"c\": 6122, \"d\": -3579}", "seed": "13285667114406392979", "semantic_fingerprint": "sha256:8e85ae4c917889fc6897e08c06e04c693fac1bedee4c046158e67f9cd1010832", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003731", "prompt": "Find x: 24x = x - 2185", "solution_steps": ["Subtract x from both sides: 23x = -2185", "Divide both sides by 23: x = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x = x - 2185", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": -2185, \"x\": -95}", "seed": "15106997763460914891", "semantic_fingerprint": "sha256:846a1489580940052faac04bbaa356d5e0fdad26e18092ab96f8bea19b19c4b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003732", "prompt": "Find x: 40(x + 6635) - 21218 = 31x + 91461", "solution_steps": ["Expand: 40x + 265400 - 21218 = 31x + 91461", "Combine constants: 40x + 244182 = 31x + 91461", "Subtract 31x from both sides: 9x + 244182 = 91461", "Subtract 244182 from both sides: 9x = -152721", "Divide both sides by 9: x = -16969"], "final_answer": "-16969", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x + 6635) - 21218 = 31x + 91461", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 6635, \"c\": 21218, \"d\": 31, \"e\": 91461}", "seed": "6120287131079074837", "semantic_fingerprint": "sha256:ec41faa8a1092e7a83303971748d45b829df77a7416e22c8b7cbc3306c9d3f8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003733", "prompt": "Solve for x: x + 8817 = 26x", "solution_steps": ["Subtract 26x from both sides: -25x + 8817 = 0", "Subtract 8817 from both sides: -25x = -8817", "Divide both sides by -25: x = 8817/25"], "final_answer": "8817/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8817 = 26x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8817, \"b\": 26}", "seed": "9916679186881221252", "semantic_fingerprint": "sha256:9bbe833e66889713c5cc97f8fcd7ca4a30a5bc048c85462d1cb1740127efa76f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003734", "prompt": "Evaluate: -4391 * 1384 + 70946", "solution_steps": ["Multiply: -4391 * 1384 = -6077144", "Add: -6077144 + 70946 = -6006198"], "final_answer": "-6006198", "answer_type": "integer", "kind": "expression", "math_text": "-4391 * 1384 + 70946", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4391, \"b\": 1384, \"c\": 70946}", "seed": "11430682511595020316", "semantic_fingerprint": "sha256:8e86565e6b76bc4169545c1b8808db449da11048c43a76e30543b633581dc994", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003735", "prompt": "What is 1589 * (28469 / 60510 - 1418)?", "solution_steps": ["Divide: 28469 / 60510 = 28469/60510", "Subtract: 28469/60510 - 1418 = -85774711/60510", "Multiply: 1589 * (-85774711/60510) = -136296015779/60510"], "final_answer": "-136296015779/60510", "answer_type": "rational", "kind": "expression", "math_text": "1589 * (28469 / 60510 - 1418)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1589, \"b\": 28469, \"c\": 60510, \"d\": 1418}", "seed": "14408468640840708071", "semantic_fingerprint": "sha256:88ba042f0ca78dfeeab3749b10bb755665c7f054dec1cb7c93de3b8d39ef0801", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003736", "prompt": "What is (4268 - 47393) * (-1082)?", "solution_steps": ["Subtract: 4268 - 47393 = -43125", "Multiply: -43125 * (-1082) = 46661250"], "final_answer": "46661250", "answer_type": "integer", "kind": "expression", "math_text": "(4268 - 47393) * (-1082)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4268, \"b\": 47393, \"c\": -1082}", "seed": "1920551924474711501", "semantic_fingerprint": "sha256:1857bc560a1eaf3b5282cb869ce5a6ed2237160cb83f25f4b8314d7f98502041", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003737", "prompt": "Compute: (2251 - 9318) * (-32825)", "solution_steps": ["Subtract: 2251 - 9318 = -7067", "Multiply: -7067 * (-32825) = 231974275"], "final_answer": "231974275", "answer_type": "integer", "kind": "expression", "math_text": "(2251 - 9318) * (-32825)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2251, \"b\": 9318, \"c\": -32825}", "seed": "7925317613461475840", "semantic_fingerprint": "sha256:afb68888ee1b4b5a44f74ad54d891a02567360f25e8ab54d85c97d6cca9eadad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003738", "prompt": "Calculate: 15873 * 6647 * (-4480)", "solution_steps": ["Multiply: 15873 * 6647 = 105507831", "Multiply: 105507831 * (-4480) = -472675082880"], "final_answer": "-472675082880", "answer_type": "integer", "kind": "expression", "math_text": "15873 * 6647 * (-4480)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15873, \"b\": 6647, \"c\": -4480}", "seed": "3416615964886637468", "semantic_fingerprint": "sha256:e672d078e04310b4e9dbe671b097f73263f95df95b222785cba0b67df44d3958", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003739", "prompt": "What is 1031 * 5907?", "solution_steps": ["Multiply: 1031 * 5907 = 6090117"], "final_answer": "6090117", "answer_type": "integer", "kind": "expression", "math_text": "1031 * 5907", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1031, \"b\": 5907}", "seed": "3168335781250236377", "semantic_fingerprint": "sha256:1cf233a21ae7272d3b8fed8fc999ef9cfca661703ef13c13e0bcd17af48f85d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003740", "prompt": "Compute: (4612 - 83353) * (-6719) + (2105 + 9639)", "solution_steps": ["Subtract: 4612 - 83353 = -78741", "Multiply: -78741 * (-6719) = 529060779", "Add: 2105 + 9639 = 11744", "Add: 529060779 + 11744 = 529072523"], "final_answer": "529072523", "answer_type": "integer", "kind": "expression", "math_text": "(4612 - 83353) * (-6719) + (2105 + 9639)", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4612, \"b\": 83353, \"c\": -6719, \"d\": 2105, \"e\": 9639}", "seed": "17044508409842208936", "semantic_fingerprint": "sha256:6168ffa9e49f0e46d02e3a9f4aa0b90de776fa2bc2c46ba4975b5cb26f965220", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003741", "prompt": "Evaluate: -9015 / 86359", "solution_steps": ["Divide: -9015 / 86359 = -9015/86359"], "final_answer": "-9015/86359", "answer_type": "rational", "kind": "expression", "math_text": "-9015 / 86359", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9015, \"b\": 86359}", "seed": "3329807850232571030", "semantic_fingerprint": "sha256:26a0898b158ccb404f2978bdca90a90e92d079978c8b2722a7e9e8a78835f0d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003742", "prompt": "What is 4507 - 9619?", "solution_steps": ["Subtract: 4507 - 9619 = -5112"], "final_answer": "-5112", "answer_type": "integer", "kind": "expression", "math_text": "4507 - 9619", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4507, \"b\": 9619}", "seed": "8424942800703224944", "semantic_fingerprint": "sha256:1a0086d403c6a16340269d9e45143b76f59bad245dbe0a552579ebe371c54645", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003743", "prompt": "Evaluate: (48567 + (-85265)) * 2755 * 5184", "solution_steps": ["Add: 48567 + (-85265) = -36698", "Multiply: -36698 * 2755 = -101102990", "Multiply: -101102990 * 5184 = -524117900160"], "final_answer": "-524117900160", "answer_type": "integer", "kind": "expression", "math_text": "(48567 + (-85265)) * 2755 * 5184", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48567, \"b\": -85265, \"c\": 2755, \"d\": 5184}", "seed": "15854506199735771766", "semantic_fingerprint": "sha256:4122edf892109cd942690ca4afcc8891b0407ea144f9a050e0abf565ccf43106", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003744", "prompt": "What is -18654 - 4696?", "solution_steps": ["Subtract: -18654 - 4696 = -23350"], "final_answer": "-23350", "answer_type": "integer", "kind": "expression", "math_text": "-18654 - 4696", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -18654, \"b\": 4696}", "seed": "18038495588089609037", "semantic_fingerprint": "sha256:3630c39db31270fbfd7e90e29821daa5879819979b120de62dcc2b5e0f16cbaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003745", "prompt": "Calculate: -6214 + 5598", "solution_steps": ["Add: -6214 + 5598 = -616"], "final_answer": "-616", "answer_type": "integer", "kind": "expression", "math_text": "-6214 + 5598", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6214, \"b\": 5598}", "seed": "5384244479448970967", "semantic_fingerprint": "sha256:58acd6254522280622684a2aa0a76ea54eeaa634ae4e962ad7dfa2bffd3c9c9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003746", "prompt": "Solve for x: 21(x + 4759) = 18(x - 45129)", "solution_steps": ["Expand: 21x + 99939 = 18(x - 45129)", "Expand: 21x + 99939 = 18x - 812322", "Subtract 18x from both sides: 3x + 99939 = -812322", "Subtract 99939 from both sides: 3x = -912261", "Divide both sides by 3: x = -304087"], "final_answer": "-304087", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 4759) = 18(x - 45129)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4759, \"c\": 18, \"d\": 45129}", "seed": "3183965939073929846", "semantic_fingerprint": "sha256:536d83dba65d7dde490bf41ad5a60169022b3dff8f3ea53eea149238764644ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003747", "prompt": "What value of x satisfies x = 40(x - 5544)?", "solution_steps": ["Expand: x = 40x - 221760", "Subtract 40x from both sides: -39x = -221760", "Divide both sides by -39: x = 73920/13"], "final_answer": "73920/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 40(x - 5544)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5544}", "seed": "13013161891461479859", "semantic_fingerprint": "sha256:d010fedcc53fa2be0eafee6b842768c22679df46c879ef0264cf9523f820ffd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003748", "prompt": "What value of x satisfies x = 33(x - 7940)?", "solution_steps": ["Expand: x = 33x - 262020", "Subtract 33x from both sides: -32x = -262020", "Divide both sides by -32: x = 65505/8"], "final_answer": "65505/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 33(x - 7940)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 7940}", "seed": "17616411200260577996", "semantic_fingerprint": "sha256:4bac8b31d66b04fc1cb19b3be1b1413c6af5d47b3424b7522a8aaef632c9d509", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003749", "prompt": "Compute: 7936 - (-70841)", "solution_steps": ["Subtract: 7936 - (-70841) = 78777"], "final_answer": "78777", "answer_type": "integer", "kind": "expression", "math_text": "7936 - (-70841)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7936, \"b\": -70841}", "seed": "2534494562149551195", "semantic_fingerprint": "sha256:3b66a885f3fe83fca39138b7897d6230f5177fa41336311c3c578203f55d1283", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003750", "prompt": "Compute: -62786 - (85379 / (-4618) + (-12537))", "solution_steps": ["Divide: 85379 / (-4618) = -85379/4618", "Add: -85379/4618 + (-12537) = -57981245/4618", "Subtract: -62786 - (-57981245/4618) = -231964503/4618"], "final_answer": "-231964503/4618", "answer_type": "rational", "kind": "expression", "math_text": "-62786 - (85379 / (-4618) + (-12537))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62786, \"b\": 85379, \"c\": -4618, \"d\": -12537}", "seed": "18151348416974946457", "semantic_fingerprint": "sha256:b22a8a76e9941491ed7fe3902606a29008b0652540df548aac21b6c76a3b3f20", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003751", "prompt": "Solve the equation 31x + 8779 = 33x for x.", "solution_steps": ["Subtract 33x from both sides: -2x + 8779 = 0", "Subtract 8779 from both sides: -2x = -8779", "Divide both sides by -2: x = 8779/2"], "final_answer": "8779/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x + 8779 = 33x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 8779, \"c\": 33}", "seed": "10896997995563039828", "semantic_fingerprint": "sha256:b048356c2ab548e5fb2c25219638477f813588e0138f8d1a5af381f69470f4a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003752", "prompt": "Solve for x: x + 76597 = 24(x + 3227)", "solution_steps": ["Expand: x + 76597 = 24x + 77448", "Subtract 24x from both sides: -23x + 76597 = 77448", "Subtract 76597 from both sides: -23x = 851", "Divide both sides by -23: x = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 76597 = 24(x + 3227)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 3227, \"d\": 76597, \"x\": -37}", "seed": "2515611705439272918", "semantic_fingerprint": "sha256:8d3295e3d1f774c68a0f613479b4f9a4067d1eb9baa18b808f7fb06080b51c52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003753", "prompt": "Calculate: 7372 - (-9456)", "solution_steps": ["Subtract: 7372 - (-9456) = 16828"], "final_answer": "16828", "answer_type": "integer", "kind": "expression", "math_text": "7372 - (-9456)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7372, \"b\": -9456}", "seed": "13233064862110269809", "semantic_fingerprint": "sha256:57108b468c8ffa9a15415a1da52dc8682c4c0dfff6b91f1b848fc378113bd55c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003754", "prompt": "Calculate: 7219 * ((59687 + (-5385)) / (-84070))", "solution_steps": ["Add: 59687 + (-5385) = 54302", "Divide: 54302 / (-84070) = -27151/42035", "Multiply: 7219 * (-27151/42035) = -196003069/42035"], "final_answer": "-196003069/42035", "answer_type": "rational", "kind": "expression", "math_text": "7219 * ((59687 + (-5385)) / (-84070))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7219, \"b\": 59687, \"c\": -5385, \"d\": -84070}", "seed": "15731041722606050725", "semantic_fingerprint": "sha256:765aad24c8066bf630ab32ef1918016cfc78806c78848bff22448bfd6209f2ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003755", "prompt": "Calculate: -84756 * 1235", "solution_steps": ["Multiply: -84756 * 1235 = -104673660"], "final_answer": "-104673660", "answer_type": "integer", "kind": "expression", "math_text": "-84756 * 1235", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -84756, \"b\": 1235}", "seed": "6821632172529572547", "semantic_fingerprint": "sha256:5f7b8882916947741902126dbfbda23248c7162f3ac67acf125e9aa3980cd623", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003756", "prompt": "What value of x satisfies 21(x + 2607) = 30(x + 4370) - 76065?", "solution_steps": ["Expand: 21x + 54747 = 30(x + 4370) - 76065", "Expand: 21x + 54747 = 30x + 131100 - 76065", "Combine constants: 21x + 54747 = 30x + 55035", "Subtract 30x from both sides: -9x + 54747 = 55035", "Subtract 54747 from both sides: -9x = 288", "Divide both sides by -9: x = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 2607) = 30(x + 4370) - 76065", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 2607, \"c\": 30, \"d\": 4370, \"f\": -76065, \"x\": -32}", "seed": "12628257614778171845", "semantic_fingerprint": "sha256:93b797ad6b826ce4ad054e8d936bfb9d1d6b9c325c6e13df4fc4bc953920adbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003757", "prompt": "Solve the equation x = 32(x - 7810) for x.", "solution_steps": ["Expand: x = 32x - 249920", "Subtract 32x from both sides: -31x = -249920", "Divide both sides by -31: x = 249920/31"], "final_answer": "249920/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 32(x - 7810)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 7810}", "seed": "485755601835986980", "semantic_fingerprint": "sha256:d3efd41345cbb27e54a4d72a53f01a596eb526291e578a91b5e5b466c63c4a51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003758", "prompt": "Solve the equation 22(x - 4282) - 45671 = 28x - 44405 for x.", "solution_steps": ["Expand: 22x - 94204 - 45671 = 28x - 44405", "Combine constants: 22x - 139875 = 28x - 44405", "Subtract 28x from both sides: -6x - 139875 = -44405", "Add 139875 to both sides: -6x = 95470", "Divide both sides by -6: x = -47735/3"], "final_answer": "-47735/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 4282) - 45671 = 28x - 44405", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 4282, \"c\": 45671, \"d\": 28, \"e\": 44405}", "seed": "7865650844730728090", "semantic_fingerprint": "sha256:dfbe22904af8f909f55435ad1e0a1e3d2b2078036814b021851c555d12f617f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003759", "prompt": "What value of x satisfies x = 26(x - 3425)?", "solution_steps": ["Expand: x = 26x - 89050", "Subtract 26x from both sides: -25x = -89050", "Divide both sides by -25: x = 3562"], "final_answer": "3562", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 26(x - 3425)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 3425}", "seed": "9289562238570139376", "semantic_fingerprint": "sha256:c4f079521eb6ac2a442d22cbd82399ac33d6b39ee73fa6cb1ee8142206aa09f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003760", "prompt": "What value of x satisfies x - 61953 = -32x - 9418?", "solution_steps": ["Add 32x to both sides: 33x - 61953 = -9418", "Add 61953 to both sides: 33x = 52535", "Divide both sides by 33: x = 52535/33"], "final_answer": "52535/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 61953 = -32x - 9418", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61953, \"b\": -32, \"c\": 9418}", "seed": "9212551504877827420", "semantic_fingerprint": "sha256:b48a931c5f6c1ea5d90f4eb0462cabb120a487994e8bb31b7693f5a2df945710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003761", "prompt": "What is -4263 + (-3631) + 1088?", "solution_steps": ["Add: -4263 + (-3631) = -7894", "Add: -7894 + 1088 = -6806"], "final_answer": "-6806", "answer_type": "integer", "kind": "expression", "math_text": "-4263 + (-3631) + 1088", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4263, \"b\": -3631, \"c\": 1088}", "seed": "6148488328469146133", "semantic_fingerprint": "sha256:b6638d6168da23496c5d74f948537f0a2d2ab31919bbccfbe0f14e03fa229af9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003762", "prompt": "Compute: (7226 - (-9704 + 3529 - 36765)) * 7595", "solution_steps": ["Add: -9704 + 3529 = -6175", "Subtract: -6175 - 36765 = -42940", "Subtract: 7226 - (-42940) = 50166", "Multiply: 50166 * 7595 = 381010770"], "final_answer": "381010770", "answer_type": "integer", "kind": "expression", "math_text": "(7226 - (-9704 + 3529 - 36765)) * 7595", "variable": null, "family": "expression_4op", "shape": "(* (- n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7226, \"b\": -9704, \"c\": 3529, \"d\": 36765, \"e\": 7595}", "seed": "3629757937202530146", "semantic_fingerprint": "sha256:48d7f6fc28db4b1417205f52e5e59ae123c587fcf5fe3302b4bea9ce44bf9379", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003763", "prompt": "Calculate: 5504 * (8564 / (-7489))", "solution_steps": ["Divide: 8564 / (-7489) = -8564/7489", "Multiply: 5504 * (-8564/7489) = -47136256/7489"], "final_answer": "-47136256/7489", "answer_type": "rational", "kind": "expression", "math_text": "5504 * (8564 / (-7489))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5504, \"b\": 8564, \"c\": -7489}", "seed": "15850505273692451662", "semantic_fingerprint": "sha256:b277f40d28b70a2d0bf307206ace3c0022b57215df1b08a178b934991f02ac46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003764", "prompt": "Calculate: 3020 + (7266 + 85721)", "solution_steps": ["Add: 7266 + 85721 = 92987", "Add: 3020 + 92987 = 96007"], "final_answer": "96007", "answer_type": "integer", "kind": "expression", "math_text": "3020 + (7266 + 85721)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3020, \"b\": 7266, \"c\": 85721}", "seed": "11691134463611545188", "semantic_fingerprint": "sha256:4367dbefdac1e646b4e41e911871c778d506c14eb07ad86bb5c60f11a8007b7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003765", "prompt": "What value of x satisfies 30(x + 4286) = -39(x - 78288)?", "solution_steps": ["Expand: 30x + 128580 = -39(x - 78288)", "Expand: 30x + 128580 = -39x + 3053232", "Add 39x to both sides: 69x + 128580 = 3053232", "Subtract 128580 from both sides: 69x = 2924652", "Divide both sides by 69: x = 974884/23"], "final_answer": "974884/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 4286) = -39(x - 78288)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 4286, \"c\": -39, \"d\": 78288}", "seed": "6344973447520411140", "semantic_fingerprint": "sha256:d5fb13d6b1c9e920da9747798024515e99b67731def13f388f9eeac6774cd15e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003766", "prompt": "What is -4280 * (-1016 / 8150) - 5364?", "solution_steps": ["Divide: -1016 / 8150 = -508/4075", "Multiply: -4280 * (-508/4075) = 434848/815", "Subtract: 434848/815 - 5364 = -3936812/815"], "final_answer": "-3936812/815", "answer_type": "rational", "kind": "expression", "math_text": "-4280 * (-1016 / 8150) - 5364", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4280, \"b\": -1016, \"c\": 8150, \"d\": 5364}", "seed": "2950829115925114593", "semantic_fingerprint": "sha256:0e7637bae23d2eae70b6d6e289c5cd31c4bbdc401d1ffb08bcf149cb8848c545", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003767", "prompt": "Compute: -19062 + (-58735) / (-9482)", "solution_steps": ["Divide: -58735 / (-9482) = 58735/9482", "Add: -19062 + 58735/9482 = -180687149/9482"], "final_answer": "-180687149/9482", "answer_type": "rational", "kind": "expression", "math_text": "-19062 + (-58735) / (-9482)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19062, \"b\": -58735, \"c\": -9482}", "seed": "11530851738764709636", "semantic_fingerprint": "sha256:77d17c7bef9fcaa7d87a82eb67eac125ce1fc8216ac07f0ad0e2051aec943de9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003768", "prompt": "Compute: -21048 - (-46664)", "solution_steps": ["Subtract: -21048 - (-46664) = 25616"], "final_answer": "25616", "answer_type": "integer", "kind": "expression", "math_text": "-21048 - (-46664)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -21048, \"b\": -46664}", "seed": "14139538605709915906", "semantic_fingerprint": "sha256:08e7fb9c1036e042d4da3fafa04698bf7e377d8a5213993bbfb5a65f72bd0487", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003769", "prompt": "What value of x satisfies 35(x - 4994) = 26(x - 3787)?", "solution_steps": ["Expand: 35x - 174790 = 26(x - 3787)", "Expand: 35x - 174790 = 26x - 98462", "Subtract 26x from both sides: 9x - 174790 = -98462", "Add 174790 to both sides: 9x = 76328", "Divide both sides by 9: x = 76328/9"], "final_answer": "76328/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 4994) = 26(x - 3787)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4994, \"c\": 26, \"d\": 3787}", "seed": "8006444283711214781", "semantic_fingerprint": "sha256:e936fdf93337229d22461b581540d10e9f79df59aa1c61d42c9938b1aa86c8b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003770", "prompt": "Calculate: 36522 / (-7075 / 15871) - (-48643)", "solution_steps": ["Divide: -7075 / 15871 = -7075/15871", "Divide: 36522 / (-7075/15871) = -579640662/7075", "Subtract: -579640662/7075 - (-48643) = -235491437/7075"], "final_answer": "-235491437/7075", "answer_type": "rational", "kind": "expression", "math_text": "36522 / (-7075 / 15871) - (-48643)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36522, \"b\": -7075, \"c\": 15871, \"d\": -48643}", "seed": "550228457146104683", "semantic_fingerprint": "sha256:20564d69574fc2957bf639094097a1cdeab6f25691532b823e7251e4eaa86332", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003771", "prompt": "Find x: -32x = 5472", "solution_steps": ["Divide both sides by -32: x = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x = 5472", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"c\": 5472, \"x\": -171}", "seed": "6156004586286606556", "semantic_fingerprint": "sha256:a6302eca5042b8975bfeacdf4d2657b86a732245fb540f3f9562cd5368b84bb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003772", "prompt": "Calculate: -9373 + 8116 - 4593 - (-3801)", "solution_steps": ["Add: -9373 + 8116 = -1257", "Subtract: -1257 - 4593 = -5850", "Subtract: -5850 - (-3801) = -2049"], "final_answer": "-2049", "answer_type": "integer", "kind": "expression", "math_text": "-9373 + 8116 - 4593 - (-3801)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9373, \"b\": 8116, \"c\": 4593, \"d\": -3801}", "seed": "10053115313908532139", "semantic_fingerprint": "sha256:72213ae763c87523eeea718207632cb1c67ee022bc5eabdd9e776cb60e35e449", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003773", "prompt": "What is -3665 * (-1007)?", "solution_steps": ["Multiply: -3665 * (-1007) = 3690655"], "final_answer": "3690655", "answer_type": "integer", "kind": "expression", "math_text": "-3665 * (-1007)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3665, \"b\": -1007}", "seed": "8821060539090274662", "semantic_fingerprint": "sha256:19ed1965c4112560d2eba9aed6c5d3afcb3800f36625c8c7181b69f133f18556", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003774", "prompt": "Solve for x: 33x = -14x", "solution_steps": ["Add 14x to both sides: 47x = 0", "Divide both sides by 47: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = -14x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": -14}", "seed": "13298355124721585604", "semantic_fingerprint": "sha256:5e8084d326892dbea8c06c7c7ce68b691d4a53107ab49aa0a28936f7dce5a745", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003775", "prompt": "Calculate: (-18553 - (-6616)) / (-5424 + (-8260)) - (-69464) + (-2245)", "solution_steps": ["Subtract: -18553 - (-6616) = -11937", "Add: -5424 + (-8260) = -13684", "Divide: -11937 / (-13684) = 11937/13684", "Subtract: 11937/13684 - (-69464) = 950557313/13684", "Add: 950557313/13684 + (-2245) = 919836733/13684"], "final_answer": "919836733/13684", "answer_type": "rational", "kind": "expression", "math_text": "(-18553 - (-6616)) / (-5424 + (-8260)) - (-69464) + (-2245)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18553, \"b\": -6616, \"c\": -5424, \"d\": -8260, \"e\": -69464, \"f\": -2245}", "seed": "13381281123037781133", "semantic_fingerprint": "sha256:304e40784bbad883a8219e85106b2e52aeeab89c6a0522943318d9464717e09f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003776", "prompt": "What is -73875 + 3756 - (-7841 - (-2341))?", "solution_steps": ["Add: -73875 + 3756 = -70119", "Subtract: -7841 - (-2341) = -5500", "Subtract: -70119 - (-5500) = -64619"], "final_answer": "-64619", "answer_type": "integer", "kind": "expression", "math_text": "-73875 + 3756 - (-7841 - (-2341))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -73875, \"b\": 3756, \"c\": -7841, \"d\": -2341}", "seed": "7140575556334449990", "semantic_fingerprint": "sha256:71cbbe236d8c51a761fba5cc253c8d63eb964e9057833f9c2186e49fda4824e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003777", "prompt": "Evaluate: -55876 + (-2051) * 16897", "solution_steps": ["Multiply: -2051 * 16897 = -34655747", "Add: -55876 + (-34655747) = -34711623"], "final_answer": "-34711623", "answer_type": "integer", "kind": "expression", "math_text": "-55876 + (-2051) * 16897", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -55876, \"b\": -2051, \"c\": 16897}", "seed": "15017302918525264300", "semantic_fingerprint": "sha256:45baf331251deefcb5edcaba42b2c1243401f79e350e65c1826c25f949a4d84b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003778", "prompt": "Evaluate: -67286 - (1151 + 14757) + 9022 * (-1219)", "solution_steps": ["Add: 1151 + 14757 = 15908", "Subtract: -67286 - 15908 = -83194", "Multiply: 9022 * (-1219) = -10997818", "Add: -83194 + (-10997818) = -11081012"], "final_answer": "-11081012", "answer_type": "integer", "kind": "expression", "math_text": "-67286 - (1151 + 14757) + 9022 * (-1219)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -67286, \"b\": 1151, \"c\": 14757, \"d\": 9022, \"e\": -1219}", "seed": "3327735754056996280", "semantic_fingerprint": "sha256:c485f4fa7442e00b2b936185f140d9c2568dc0c63d66ab2273b2a3534f774367", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003779", "prompt": "Calculate: 44199 - (-4811 - (-79861) / (-8730))", "solution_steps": ["Divide: -79861 / (-8730) = 79861/8730", "Subtract: -4811 - 79861/8730 = -42079891/8730", "Subtract: 44199 - (-42079891/8730) = 427937161/8730"], "final_answer": "427937161/8730", "answer_type": "rational", "kind": "expression", "math_text": "44199 - (-4811 - (-79861) / (-8730))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 44199, \"b\": -4811, \"c\": -79861, \"d\": -8730}", "seed": "8857920377076259832", "semantic_fingerprint": "sha256:126a654a23112421178b5bc5e199eb1731b02794c567c4b557b6b8981a606888", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003780", "prompt": "Compute: 2945 - 83440", "solution_steps": ["Subtract: 2945 - 83440 = -80495"], "final_answer": "-80495", "answer_type": "integer", "kind": "expression", "math_text": "2945 - 83440", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2945, \"b\": 83440}", "seed": "6719814932973828715", "semantic_fingerprint": "sha256:140f053396a322167b3dc68ed98189e426765e1f0469f83ed6a0ae6d6c52c2a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003781", "prompt": "Evaluate: -98542 - 38582 + (-3626)", "solution_steps": ["Subtract: -98542 - 38582 = -137124", "Add: -137124 + (-3626) = -140750"], "final_answer": "-140750", "answer_type": "integer", "kind": "expression", "math_text": "-98542 - 38582 + (-3626)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98542, \"b\": 38582, \"c\": -3626}", "seed": "6872621612370342911", "semantic_fingerprint": "sha256:d4d80ea14677b37ab82358dc56b97eec4cddcd410029e6860a96f3390623a426", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003782", "prompt": "Solve for x: x + 77338 = 16(x + 4858)", "solution_steps": ["Expand: x + 77338 = 16x + 77728", "Subtract 16x from both sides: -15x + 77338 = 77728", "Subtract 77338 from both sides: -15x = 390", "Divide both sides by -15: x = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 77338 = 16(x + 4858)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4858, \"d\": 77338, \"x\": -26}", "seed": "1810410055126921881", "semantic_fingerprint": "sha256:0303964dfa2f883beb9875a7d5edc5e16ec802474a405c1a5831f14edf2cc80c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003783", "prompt": "Compute: -6551 + (-8550) * 60753 - (-1222)", "solution_steps": ["Multiply: -8550 * 60753 = -519438150", "Add: -6551 + (-519438150) = -519444701", "Subtract: -519444701 - (-1222) = -519443479"], "final_answer": "-519443479", "answer_type": "integer", "kind": "expression", "math_text": "-6551 + (-8550) * 60753 - (-1222)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6551, \"b\": -8550, \"c\": 60753, \"d\": -1222}", "seed": "14106693841176250683", "semantic_fingerprint": "sha256:b656b00360a12c45c2ebb7e96d47dea87d5401d71bfce70cb5772e630bd443d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003784", "prompt": "Solve for x: 30x = 38(x - 59317) - 5992", "solution_steps": ["Expand: 30x = 38x - 2254046 - 5992", "Combine constants: 30x = 38x - 2260038", "Subtract 38x from both sides: -8x = -2260038", "Divide both sides by -8: x = 1130019/4"], "final_answer": "1130019/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = 38(x - 59317) - 5992", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 38, \"c\": 59317, \"d\": 5992}", "seed": "15500894189883968423", "semantic_fingerprint": "sha256:478e9c2851c41762628b7dddb6697ba0a40a95a6a0c18457d92497fe7b48c81d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003785", "prompt": "Solve the equation -33(x + 2248) + 13051 = 13(x - 2455) - 22732 for x.", "solution_steps": ["Expand: -33x - 74184 + 13051 = 13(x - 2455) - 22732", "Expand: -33x - 74184 + 13051 = 13x - 31915 - 22732", "Combine constants: -33x - 61133 = 13x - 31915 - 22732", "Combine constants: -33x - 61133 = 13x - 54647", "Subtract 13x from both sides: -46x - 61133 = -54647", "Add 61133 to both sides: -46x = 6486", "Divide both sides by -46: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33(x + 2248) + 13051 = 13(x - 2455) - 22732", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 2248, \"c\": 13051, \"d\": 13, \"e\": 2455, \"g\": -22732, \"x\": -141}", "seed": "1893660032747189878", "semantic_fingerprint": "sha256:b725b9c2557d582b28225f1f79f006b12acfdb1d5f5994991b798ba80ce84edf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003786", "prompt": "What is 3142 + (2754 - (-13044) + 53721)?", "solution_steps": ["Subtract: 2754 - (-13044) = 15798", "Add: 15798 + 53721 = 69519", "Add: 3142 + 69519 = 72661"], "final_answer": "72661", "answer_type": "integer", "kind": "expression", "math_text": "3142 + (2754 - (-13044) + 53721)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3142, \"b\": 2754, \"c\": -13044, \"d\": 53721}", "seed": "6613827844294140416", "semantic_fingerprint": "sha256:65a0c7ba4ff260d30f447e3c1f76723893afa49b197b4b8232a807f7a0101af0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003787", "prompt": "Evaluate: (-1721 - (-4303)) * 4123", "solution_steps": ["Subtract: -1721 - (-4303) = 2582", "Multiply: 2582 * 4123 = 10645586"], "final_answer": "10645586", "answer_type": "integer", "kind": "expression", "math_text": "(-1721 - (-4303)) * 4123", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1721, \"b\": -4303, \"c\": 4123}", "seed": "2743818162746116586", "semantic_fingerprint": "sha256:3b2428c2ec939d04edb169406f54c6d0831dbf18423ae7d8b8bcf32ede06a7ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003788", "prompt": "What value of x satisfies 14(x + 46090) + 7025 = -35x - 3977?", "solution_steps": ["Expand: 14x + 645260 + 7025 = -35x - 3977", "Combine constants: 14x + 652285 = -35x - 3977", "Add 35x to both sides: 49x + 652285 = -3977", "Subtract 652285 from both sides: 49x = -656262", "Divide both sides by 49: x = -656262/49"], "final_answer": "-656262/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 46090) + 7025 = -35x - 3977", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 46090, \"c\": 7025, \"d\": -35, \"e\": 3977}", "seed": "12473875629300995226", "semantic_fingerprint": "sha256:506ddc20bad5a29d5dba08f7075ffc90fcdf3b8575369d696532c5a57e4936cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003789", "prompt": "Solve the equation -17x - 9043 = x - 65570 for x.", "solution_steps": ["Subtract x from both sides: -18x - 9043 = -65570", "Add 9043 to both sides: -18x = -56527", "Divide both sides by -18: x = 56527/18"], "final_answer": "56527/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x - 9043 = x - 65570", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9043, \"c\": 65570}", "seed": "3633666736213778602", "semantic_fingerprint": "sha256:1c090d534fc8694ac982aad8e01d8646840c83720da1865ae583ed8857e10ed4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003790", "prompt": "Calculate: -31307 + (30998 + 4596)", "solution_steps": ["Add: 30998 + 4596 = 35594", "Add: -31307 + 35594 = 4287"], "final_answer": "4287", "answer_type": "integer", "kind": "expression", "math_text": "-31307 + (30998 + 4596)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31307, \"b\": 30998, \"c\": 4596}", "seed": "4998056246900698224", "semantic_fingerprint": "sha256:8f1ea0ee8fda21a3c9ec9fbba04daee6c83ef6a81b0e0ef068048958a8cb5251", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003791", "prompt": "What value of x satisfies -37(x + 1021) + 23945 = x?", "solution_steps": ["Expand: -37x - 37777 + 23945 = x", "Combine constants: -37x - 13832 = x", "Subtract x from both sides: -38x - 13832 = 0", "Add 13832 to both sides: -38x = 13832", "Divide both sides by -38: x = -364"], "final_answer": "-364", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37(x + 1021) + 23945 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1021, \"c\": 23945}", "seed": "10243335659084540925", "semantic_fingerprint": "sha256:c928d211722907838ac0e2a59886f687f5cc0c5122f3d1336f4a3ef2c22d3b2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003792", "prompt": "What is -8888 - (-2146 + (6709 + (-92994)) - 5386)?", "solution_steps": ["Add: 6709 + (-92994) = -86285", "Add: -2146 + (-86285) = -88431", "Subtract: -88431 - 5386 = -93817", "Subtract: -8888 - (-93817) = 84929"], "final_answer": "84929", "answer_type": "integer", "kind": "expression", "math_text": "-8888 - (-2146 + (6709 + (-92994)) - 5386)", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8888, \"b\": -2146, \"c\": 6709, \"d\": -92994, \"e\": 5386}", "seed": "13729772654495812527", "semantic_fingerprint": "sha256:d83c4184beb3a08adaa6edfa8f428c56f86ccddde00868c91354038e39d27ad7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003793", "prompt": "Find x: 19(x + 5601) + 2308 = x", "solution_steps": ["Expand: 19x + 106419 + 2308 = x", "Combine constants: 19x + 108727 = x", "Subtract x from both sides: 18x + 108727 = 0", "Subtract 108727 from both sides: 18x = -108727", "Divide both sides by 18: x = -108727/18"], "final_answer": "-108727/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 5601) + 2308 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5601, \"c\": 2308}", "seed": "14911209027465302901", "semantic_fingerprint": "sha256:12c09659897bddcf44bfda1aacd77e3a394106388ea686339800910dce62bfd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003794", "prompt": "Find x: 18x - 32406 = 23(x - 4292) - 66462", "solution_steps": ["Expand: 18x - 32406 = 23x - 98716 - 66462", "Combine constants: 18x - 32406 = 23x - 165178", "Subtract 23x from both sides: -5x - 32406 = -165178", "Add 32406 to both sides: -5x = -132772", "Divide both sides by -5: x = 132772/5"], "final_answer": "132772/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x - 32406 = 23(x - 4292) - 66462", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 32406, \"c\": 23, \"d\": 4292, \"e\": 66462}", "seed": "12532931288188544297", "semantic_fingerprint": "sha256:6d38231ce3cd71be5cedb310452d88c8ad19e5dc72ea628a4c0c1ca9997ad25a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003795", "prompt": "Solve for x: -21x + 3828 = x", "solution_steps": ["Subtract x from both sides: -22x + 3828 = 0", "Subtract 3828 from both sides: -22x = -3828", "Divide both sides by -22: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x + 3828 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": 3828, \"x\": 174}", "seed": "14794424161472036330", "semantic_fingerprint": "sha256:0318102471fece6a095f2bbda60e2687207059c00b8235f26c666e2e4e9ba2cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003796", "prompt": "Solve for x: 35(x - 6425) - 7207 = 17x + 5203", "solution_steps": ["Expand: 35x - 224875 - 7207 = 17x + 5203", "Combine constants: 35x - 232082 = 17x + 5203", "Subtract 17x from both sides: 18x - 232082 = 5203", "Add 232082 to both sides: 18x = 237285", "Divide both sides by 18: x = 26365/2"], "final_answer": "26365/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 6425) - 7207 = 17x + 5203", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 6425, \"c\": 7207, \"d\": 17, \"e\": 5203}", "seed": "14045319730435351497", "semantic_fingerprint": "sha256:1904132196624839b54d2f18790eab6011939e5ba73cfe94a7c35e69786e456b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003797", "prompt": "Evaluate: -29109 + (-1208) - 4994", "solution_steps": ["Add: -29109 + (-1208) = -30317", "Subtract: -30317 - 4994 = -35311"], "final_answer": "-35311", "answer_type": "integer", "kind": "expression", "math_text": "-29109 + (-1208) - 4994", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29109, \"b\": -1208, \"c\": 4994}", "seed": "9225514926751576143", "semantic_fingerprint": "sha256:7c1b9e800d5998c12b6ff8de0459a969cb738927235e3d86f743f99fb2a2100d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003798", "prompt": "Evaluate: -7011 - 21747", "solution_steps": ["Subtract: -7011 - 21747 = -28758"], "final_answer": "-28758", "answer_type": "integer", "kind": "expression", "math_text": "-7011 - 21747", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7011, \"b\": 21747}", "seed": "8596408475641162429", "semantic_fingerprint": "sha256:7d5c185e008575c36c149a2caf8e6de8747d158c8bfe0b67eb5a4f69b429793a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003799", "prompt": "What value of x satisfies x - 5364 = 13x + 30048?", "solution_steps": ["Subtract 13x from both sides: -12x - 5364 = 30048", "Add 5364 to both sides: -12x = 35412", "Divide both sides by -12: x = -2951"], "final_answer": "-2951", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5364 = 13x + 30048", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5364, \"b\": 13, \"c\": 30048}", "seed": "3368883034052522632", "semantic_fingerprint": "sha256:ec7e685b188633507f59f4ce23d46796ec23ce823a59e34dfb0da8fa5974d13d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003800", "prompt": "Compute: 16869 + (-74228 + 6748)", "solution_steps": ["Add: -74228 + 6748 = -67480", "Add: 16869 + (-67480) = -50611"], "final_answer": "-50611", "answer_type": "integer", "kind": "expression", "math_text": "16869 + (-74228 + 6748)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16869, \"b\": -74228, \"c\": 6748}", "seed": "10360106615768181992", "semantic_fingerprint": "sha256:7db94cce3c7bb667c169eda85c1046e080749a263dc260dd468b3fcec65a5491", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003801", "prompt": "Compute: 21266 * 53346 + (-81734 - (-9801 - (-8113))) + (-72107)", "solution_steps": ["Multiply: 21266 * 53346 = 1134456036", "Subtract: -9801 - (-8113) = -1688", "Subtract: -81734 - (-1688) = -80046", "Add: 1134456036 + (-80046) = 1134375990", "Add: 1134375990 + (-72107) = 1134303883"], "final_answer": "1134303883", "answer_type": "integer", "kind": "expression", "math_text": "21266 * 53346 + (-81734 - (-9801 - (-8113))) + (-72107)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) (- n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21266, \"b\": 53346, \"c\": -81734, \"d\": -9801, \"e\": -8113, \"f\": -72107}", "seed": "17340605250112980344", "semantic_fingerprint": "sha256:8a4e0fc9da12309b4124a6a2b68c4022b4683e6fcec8b14ee6de388146a9cf77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003802", "prompt": "Calculate: 6564 * (-1757) * 8219", "solution_steps": ["Multiply: 6564 * (-1757) = -11532948", "Multiply: -11532948 * 8219 = -94789299612"], "final_answer": "-94789299612", "answer_type": "integer", "kind": "expression", "math_text": "6564 * (-1757) * 8219", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6564, \"b\": -1757, \"c\": 8219}", "seed": "12014882862333050136", "semantic_fingerprint": "sha256:95f92e6f3e041beb721448a144bc7e109f056f296f56c55d619bed7af7742dec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003803", "prompt": "Find x: 23x + 5474 = x + 2416", "solution_steps": ["Subtract x from both sides: 22x + 5474 = 2416", "Subtract 5474 from both sides: 22x = -3058", "Divide both sides by 22: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 5474 = x + 2416", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5474, \"d\": 2416, \"x\": -139}", "seed": "14493447950826054903", "semantic_fingerprint": "sha256:0f4c4c6cc672046b7fe668789684f818b775ac00e605c61e69e5974b2ab3f05a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003804", "prompt": "What is (-88520 - 6860) * (-46350)?", "solution_steps": ["Subtract: -88520 - 6860 = -95380", "Multiply: -95380 * (-46350) = 4420863000"], "final_answer": "4420863000", "answer_type": "integer", "kind": "expression", "math_text": "(-88520 - 6860) * (-46350)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88520, \"b\": 6860, \"c\": -46350}", "seed": "2644358517244054527", "semantic_fingerprint": "sha256:b24a765b9e30e5ca2d9a1cf474cf9c4b6e041966c8a294cdd284ccfa2830a0b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003805", "prompt": "Evaluate: (1004 - (-3599)) / (6738 / 6362)", "solution_steps": ["Subtract: 1004 - (-3599) = 4603", "Divide: 6738 / 6362 = 3369/3181", "Divide: 4603 / (3369/3181) = 14642143/3369"], "final_answer": "14642143/3369", "answer_type": "rational", "kind": "expression", "math_text": "(1004 - (-3599)) / (6738 / 6362)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1004, \"b\": -3599, \"c\": 6738, \"d\": 6362}", "seed": "12782139494801074594", "semantic_fingerprint": "sha256:bba672d65772ff592c9857dcf002e941ad9e7391e7fa659693e3014833f6f73a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003806", "prompt": "Calculate: (9944 - 54150) * 59738", "solution_steps": ["Subtract: 9944 - 54150 = -44206", "Multiply: -44206 * 59738 = -2640778028"], "final_answer": "-2640778028", "answer_type": "integer", "kind": "expression", "math_text": "(9944 - 54150) * 59738", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9944, \"b\": 54150, \"c\": 59738}", "seed": "9725892304729369210", "semantic_fingerprint": "sha256:cecb018b77fc6664bd68f535c59816499763c98673cc4ccba83f1632e044ed4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003807", "prompt": "Solve the equation 17(x + 86195) + 53860 = x - 7663 for x.", "solution_steps": ["Expand: 17x + 1465315 + 53860 = x - 7663", "Combine constants: 17x + 1519175 = x - 7663", "Subtract x from both sides: 16x + 1519175 = -7663", "Subtract 1519175 from both sides: 16x = -1526838", "Divide both sides by 16: x = -763419/8"], "final_answer": "-763419/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 86195) + 53860 = x - 7663", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 86195, \"c\": 53860, \"d\": 7663}", "seed": "4439599302647001210", "semantic_fingerprint": "sha256:e9f98a667912c5efc36200cd328c671c90b23c5b8bf004f22484ebef9b08b78b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003808", "prompt": "Compute: -33656 + (-6142)", "solution_steps": ["Add: -33656 + (-6142) = -39798"], "final_answer": "-39798", "answer_type": "integer", "kind": "expression", "math_text": "-33656 + (-6142)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33656, \"b\": -6142}", "seed": "5788683132647921111", "semantic_fingerprint": "sha256:e2b43a9935c0ade924eed3e5a30b7ad759b9ae80d0c542a7038d8068d9949cc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003809", "prompt": "Solve the equation -32(x - 10026) = x for x.", "solution_steps": ["Expand: -32x + 320832 = x", "Subtract x from both sides: -33x + 320832 = 0", "Subtract 320832 from both sides: -33x = -320832", "Divide both sides by -33: x = 106944/11"], "final_answer": "106944/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 10026) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 10026}", "seed": "13438458223807751207", "semantic_fingerprint": "sha256:84c6e143e0477171cd7a34c4aa6d496b23da4dfcf8ad43edeca1af94c800007d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003810", "prompt": "What is 54041 + (-5696 - 98932) + (-91562 + (-21080))?", "solution_steps": ["Subtract: -5696 - 98932 = -104628", "Add: 54041 + (-104628) = -50587", "Add: -91562 + (-21080) = -112642", "Add: -50587 + (-112642) = -163229"], "final_answer": "-163229", "answer_type": "integer", "kind": "expression", "math_text": "54041 + (-5696 - 98932) + (-91562 + (-21080))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 54041, \"b\": -5696, \"c\": 98932, \"d\": -91562, \"e\": -21080}", "seed": "3282220452235203826", "semantic_fingerprint": "sha256:c9db1a83253a34f8dd74adfb6616f950a04ee768889d92930b3366bacb9aed42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003811", "prompt": "Compute: -15103 - 45532 * 61158", "solution_steps": ["Multiply: 45532 * 61158 = 2784646056", "Subtract: -15103 - 2784646056 = -2784661159"], "final_answer": "-2784661159", "answer_type": "integer", "kind": "expression", "math_text": "-15103 - 45532 * 61158", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15103, \"b\": 45532, \"c\": 61158}", "seed": "5974149658925349005", "semantic_fingerprint": "sha256:7fdd321b5d955882dedafe10377c25c3c88a01773f82f5a676b6a54a5271f06b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003812", "prompt": "Evaluate: -72536 / 55265", "solution_steps": ["Divide: -72536 / 55265 = -72536/55265"], "final_answer": "-72536/55265", "answer_type": "rational", "kind": "expression", "math_text": "-72536 / 55265", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72536, \"b\": 55265}", "seed": "3444754643863041436", "semantic_fingerprint": "sha256:4532132bab3ffc01197ff020402ba7320100426d70b471103bc5d6eec11997fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003813", "prompt": "Calculate: (-5355 + (-4154) + (-57399)) / (-29006)", "solution_steps": ["Add: -5355 + (-4154) = -9509", "Add: -9509 + (-57399) = -66908", "Divide: -66908 / (-29006) = 33454/14503"], "final_answer": "33454/14503", "answer_type": "rational", "kind": "expression", "math_text": "(-5355 + (-4154) + (-57399)) / (-29006)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5355, \"b\": -4154, \"c\": -57399, \"d\": -29006}", "seed": "7705326896469521835", "semantic_fingerprint": "sha256:a8bc57fcb9c6d7067718ff7a2bb21563ac648890b90874ebaab834b85a55a5a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003814", "prompt": "Calculate: 2972 / (-14252)", "solution_steps": ["Divide: 2972 / (-14252) = -743/3563"], "final_answer": "-743/3563", "answer_type": "rational", "kind": "expression", "math_text": "2972 / (-14252)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2972, \"b\": -14252}", "seed": "9708454420084935524", "semantic_fingerprint": "sha256:1db3ad060d28996f5f97a81e4062a9f561e6d49c63b21ae94faa426f37868254", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003815", "prompt": "What value of x satisfies 22(x + 1039) - 7189 = -37x + 13309?", "solution_steps": ["Expand: 22x + 22858 - 7189 = -37x + 13309", "Combine constants: 22x + 15669 = -37x + 13309", "Add 37x to both sides: 59x + 15669 = 13309", "Subtract 15669 from both sides: 59x = -2360", "Divide both sides by 59: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 1039) - 7189 = -37x + 13309", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 1039, \"c\": 7189, \"d\": -37, \"f\": 13309, \"x\": -40}", "seed": "8594686320795358615", "semantic_fingerprint": "sha256:65b10bfdc3f185cd81c946c1de0c4421a48e8b1951a27a59b30dfd45f261bd4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003816", "prompt": "Solve the equation 19x = -14(x + 11737) for x.", "solution_steps": ["Expand: 19x = -14x - 164318", "Add 14x to both sides: 33x = -164318", "Divide both sides by 33: x = -14938/3"], "final_answer": "-14938/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = -14(x + 11737)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": -14, \"c\": 11737}", "seed": "16885428835485727452", "semantic_fingerprint": "sha256:1e057485117c6849f894d4e8ce78e46f56fb1f3eee310c800412d84e39faff9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003817", "prompt": "Compute: (85411 - (-2679)) * 9808", "solution_steps": ["Subtract: 85411 - (-2679) = 88090", "Multiply: 88090 * 9808 = 863986720"], "final_answer": "863986720", "answer_type": "integer", "kind": "expression", "math_text": "(85411 - (-2679)) * 9808", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85411, \"b\": -2679, \"c\": 9808}", "seed": "5068680334307544266", "semantic_fingerprint": "sha256:70168311bdc38e5b7cc2ed28378af39c7ae8ec959b44c3b95a3edad0685beaad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003818", "prompt": "What is -34125 - (-7074)?", "solution_steps": ["Subtract: -34125 - (-7074) = -27051"], "final_answer": "-27051", "answer_type": "integer", "kind": "expression", "math_text": "-34125 - (-7074)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -34125, \"b\": -7074}", "seed": "7170159580693156598", "semantic_fingerprint": "sha256:c663eed449b1cb9c7b47f63d6792154441824f96bcec230ecebfb274f1162831", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003819", "prompt": "What value of x satisfies 15x = -23(x - 5053)?", "solution_steps": ["Expand: 15x = -23x + 116219", "Add 23x to both sides: 38x = 116219", "Divide both sides by 38: x = 116219/38"], "final_answer": "116219/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = -23(x - 5053)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -23, \"c\": 5053}", "seed": "17923864878370593427", "semantic_fingerprint": "sha256:e13fbf0e416ba026d9cd4d40e0ddd6ffc2613f9577cfaa1ffce9e9d96f9ae3f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003820", "prompt": "What is 52376 - 76989?", "solution_steps": ["Subtract: 52376 - 76989 = -24613"], "final_answer": "-24613", "answer_type": "integer", "kind": "expression", "math_text": "52376 - 76989", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 52376, \"b\": 76989}", "seed": "15960686528789548993", "semantic_fingerprint": "sha256:49228cf3150299c4403ef327122961e5d0d60be1d75058a04fb0a34553a0f2af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003821", "prompt": "Evaluate: (1864 - (-4753 + 6303)) / (-36001)", "solution_steps": ["Add: -4753 + 6303 = 1550", "Subtract: 1864 - 1550 = 314", "Divide: 314 / (-36001) = -314/36001"], "final_answer": "-314/36001", "answer_type": "rational", "kind": "expression", "math_text": "(1864 - (-4753 + 6303)) / (-36001)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1864, \"b\": -4753, \"c\": 6303, \"d\": -36001}", "seed": "14792323860684207973", "semantic_fingerprint": "sha256:948cf94783fc2cd1fd80499c72bc41519536e4e96651dbc886c04f417256bd23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003822", "prompt": "Evaluate: -4161 - (-2148 - (-7677) - (71923 - (-43947)))", "solution_steps": ["Subtract: -2148 - (-7677) = 5529", "Subtract: 71923 - (-43947) = 115870", "Subtract: 5529 - 115870 = -110341", "Subtract: -4161 - (-110341) = 106180"], "final_answer": "106180", "answer_type": "integer", "kind": "expression", "math_text": "-4161 - (-2148 - (-7677) - (71923 - (-43947)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4161, \"b\": -2148, \"c\": -7677, \"d\": 71923, \"e\": -43947}", "seed": "13643536159949576716", "semantic_fingerprint": "sha256:2dc718b06ffe6dc7bc3df660265fca4e661f893d09f1393f6e8c923daffbc517", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003823", "prompt": "Calculate: -6833 * (-10166) * 7080", "solution_steps": ["Multiply: -6833 * (-10166) = 69464278", "Multiply: 69464278 * 7080 = 491807088240"], "final_answer": "491807088240", "answer_type": "integer", "kind": "expression", "math_text": "-6833 * (-10166) * 7080", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6833, \"b\": -10166, \"c\": 7080}", "seed": "15939796462061624839", "semantic_fingerprint": "sha256:8ad522d42d0555e89ad370710946cb93d869382e42d428fb314ec202ee525ff1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003824", "prompt": "Solve the equation -25(x + 3755) - 3927 = -35x + 91115 for x.", "solution_steps": ["Expand: -25x - 93875 - 3927 = -35x + 91115", "Combine constants: -25x - 97802 = -35x + 91115", "Add 35x to both sides: 10x - 97802 = 91115", "Add 97802 to both sides: 10x = 188917", "Divide both sides by 10: x = 188917/10"], "final_answer": "188917/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 3755) - 3927 = -35x + 91115", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 3755, \"c\": 3927, \"d\": -35, \"e\": 91115}", "seed": "1729145717269120252", "semantic_fingerprint": "sha256:b3f61d06506cf2bdf2bed73b913f87b63033f77dea84aa8b1e18757ee3ff8dd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003825", "prompt": "Compute: -58803 * (4236 + 8349) + 6131 + (-7111)", "solution_steps": ["Add: 4236 + 8349 = 12585", "Multiply: -58803 * 12585 = -740035755", "Add: -740035755 + 6131 = -740029624", "Add: -740029624 + (-7111) = -740036735"], "final_answer": "-740036735", "answer_type": "integer", "kind": "expression", "math_text": "-58803 * (4236 + 8349) + 6131 + (-7111)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -58803, \"b\": 4236, \"c\": 8349, \"d\": 6131, \"e\": -7111}", "seed": "5328480424168435450", "semantic_fingerprint": "sha256:64b4eb61dec46d15ac6e89a507e761aa65da42a6dbe7ec14c612327988469c95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003826", "prompt": "Solve the equation x = 31(x - 14652) for x.", "solution_steps": ["Expand: x = 31x - 454212", "Subtract 31x from both sides: -30x = -454212", "Divide both sides by -30: x = 75702/5"], "final_answer": "75702/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 31(x - 14652)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 14652}", "seed": "9833517288786415954", "semantic_fingerprint": "sha256:b82f30f816c50b7e37d6c0c4da57d4df98c630010ea8c7c66d07c22e3e79baa9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003827", "prompt": "Calculate: -5350 - 22892 + 57045 - (5970 - (-5755) / 1741)", "solution_steps": ["Subtract: -5350 - 22892 = -28242", "Add: -28242 + 57045 = 28803", "Divide: -5755 / 1741 = -5755/1741", "Subtract: 5970 - (-5755/1741) = 10399525/1741", "Subtract: 28803 - 10399525/1741 = 39746498/1741"], "final_answer": "39746498/1741", "answer_type": "rational", "kind": "expression", "math_text": "-5350 - 22892 + 57045 - (5970 - (-5755) / 1741)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5350, \"b\": 22892, \"c\": 57045, \"d\": 5970, \"e\": -5755, \"f\": 1741}", "seed": "10833369277034731695", "semantic_fingerprint": "sha256:554fe668a3c8fc1efd2a7bdad7706e75824d7aedcf7451ad3c361c449c391f34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003828", "prompt": "Evaluate: 60086 - (-1092) / (-3164)", "solution_steps": ["Divide: -1092 / (-3164) = 39/113", "Subtract: 60086 - 39/113 = 6789679/113"], "final_answer": "6789679/113", "answer_type": "rational", "kind": "expression", "math_text": "60086 - (-1092) / (-3164)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60086, \"b\": -1092, \"c\": -3164}", "seed": "14889781731818444096", "semantic_fingerprint": "sha256:e8bb89d97b5b11f2e5e76963009ecf7e382082375dd82eb1b6939eff6f51389b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003829", "prompt": "Solve the equation 33(x + 1417) - 1786 = x for x.", "solution_steps": ["Expand: 33x + 46761 - 1786 = x", "Combine constants: 33x + 44975 = x", "Subtract x from both sides: 32x + 44975 = 0", "Subtract 44975 from both sides: 32x = -44975", "Divide both sides by 32: x = -44975/32"], "final_answer": "-44975/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 1417) - 1786 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1417, \"c\": 1786}", "seed": "8931903064891633125", "semantic_fingerprint": "sha256:d9f7baed45b4e63f389ed0c63f863a22859e518d5af25eb2f72325782e7ed395", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003830", "prompt": "Calculate: 50372 / (-93029 + 4879)", "solution_steps": ["Add: -93029 + 4879 = -88150", "Divide: 50372 / (-88150) = -25186/44075"], "final_answer": "-25186/44075", "answer_type": "rational", "kind": "expression", "math_text": "50372 / (-93029 + 4879)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50372, \"b\": -93029, \"c\": 4879}", "seed": "16288638134140134255", "semantic_fingerprint": "sha256:cc40597bd27abc276c4a31826e2b37b897f9f7b6f73219f8a450cc6b9b095b84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003831", "prompt": "Find x: -31(x - 2488) = x + 82920", "solution_steps": ["Expand: -31x + 77128 = x + 82920", "Subtract x from both sides: -32x + 77128 = 82920", "Subtract 77128 from both sides: -32x = 5792", "Divide both sides by -32: x = -181"], "final_answer": "-181", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31(x - 2488) = x + 82920", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 2488, \"d\": 82920, \"x\": -181}", "seed": "15957171586197945647", "semantic_fingerprint": "sha256:5e298cc72d837295e664d81e18ab4ad77017fff6cf13234f75aa3bdadcc1676e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003832", "prompt": "Evaluate: -4128 * 2992", "solution_steps": ["Multiply: -4128 * 2992 = -12350976"], "final_answer": "-12350976", "answer_type": "integer", "kind": "expression", "math_text": "-4128 * 2992", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4128, \"b\": 2992}", "seed": "8478758598335714032", "semantic_fingerprint": "sha256:45326b993a05cad91d4ca665bd29e332ccdcd9c5b66a8d1f62daac46204417d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003833", "prompt": "Calculate: -22745 / (-6393 + 33262) - (-4196)", "solution_steps": ["Add: -6393 + 33262 = 26869", "Divide: -22745 / 26869 = -22745/26869", "Subtract: -22745/26869 - (-4196) = 112719579/26869"], "final_answer": "112719579/26869", "answer_type": "rational", "kind": "expression", "math_text": "-22745 / (-6393 + 33262) - (-4196)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22745, \"b\": -6393, \"c\": 33262, \"d\": -4196}", "seed": "5387651145026462553", "semantic_fingerprint": "sha256:1d15268c0d64a3b113b7fd3456174eb654b66e17ebc7e77c7a14d642221340c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003834", "prompt": "Solve the equation 39(x + 5735) - 11784 = -14(x + 6150) for x.", "solution_steps": ["Expand: 39x + 223665 - 11784 = -14(x + 6150)", "Expand: 39x + 223665 - 11784 = -14x - 86100", "Combine constants: 39x + 211881 = -14x - 86100", "Add 14x to both sides: 53x + 211881 = -86100", "Subtract 211881 from both sides: 53x = -297981", "Divide both sides by 53: x = -297981/53"], "final_answer": "-297981/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 5735) - 11784 = -14(x + 6150)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5735, \"c\": 11784, \"d\": -14, \"e\": 6150}", "seed": "6418915988385379474", "semantic_fingerprint": "sha256:5475f2f0628f76ad512d95529ab89536515608671457648a7b4dcf35f34e00ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003835", "prompt": "Evaluate: 85199 - 4744", "solution_steps": ["Subtract: 85199 - 4744 = 80455"], "final_answer": "80455", "answer_type": "integer", "kind": "expression", "math_text": "85199 - 4744", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 85199, \"b\": 4744}", "seed": "17765214587972068282", "semantic_fingerprint": "sha256:e546ab56bfb4ea2c0d34afdd7ab63a0ba146889fedee94d2bb0dd4c2e78c5b24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003836", "prompt": "Evaluate: -2351 / 28709", "solution_steps": ["Divide: -2351 / 28709 = -2351/28709"], "final_answer": "-2351/28709", "answer_type": "rational", "kind": "expression", "math_text": "-2351 / 28709", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2351, \"b\": 28709}", "seed": "16856655225883079563", "semantic_fingerprint": "sha256:29bc9e0b7553e280777e46e4b7687d2aa44764768b9b5a5299cc29f93886b9d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003837", "prompt": "Solve the equation x = 37(x + 2516) - 14692 for x.", "solution_steps": ["Expand: x = 37x + 93092 - 14692", "Combine constants: x = 37x + 78400", "Subtract 37x from both sides: -36x = 78400", "Divide both sides by -36: x = -19600/9"], "final_answer": "-19600/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x + 2516) - 14692", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2516, \"c\": 14692}", "seed": "8280869477595151495", "semantic_fingerprint": "sha256:974775710178c51e7c5ebe3aebcafd39b33a6ef7bf3a2146264fa9fdd8b98067", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003838", "prompt": "Compute: 5502 + (3760 - (5058 - (-72903)))", "solution_steps": ["Subtract: 5058 - (-72903) = 77961", "Subtract: 3760 - 77961 = -74201", "Add: 5502 + (-74201) = -68699"], "final_answer": "-68699", "answer_type": "integer", "kind": "expression", "math_text": "5502 + (3760 - (5058 - (-72903)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5502, \"b\": 3760, \"c\": 5058, \"d\": -72903}", "seed": "2269262327674347467", "semantic_fingerprint": "sha256:8afde5e3ea7a02f65bd1eb18320bc429626302ab7b2ff1b240e0cb23ad0aa32d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003839", "prompt": "What is -83586 - (98022 * (-82063) - 8188)?", "solution_steps": ["Multiply: 98022 * (-82063) = -8043979386", "Subtract: -8043979386 - 8188 = -8043987574", "Subtract: -83586 - (-8043987574) = 8043903988"], "final_answer": "8043903988", "answer_type": "integer", "kind": "expression", "math_text": "-83586 - (98022 * (-82063) - 8188)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83586, \"b\": 98022, \"c\": -82063, \"d\": 8188}", "seed": "5764230555168670885", "semantic_fingerprint": "sha256:41db61cce8990e8e1c1ba70671fed760810d4682e006684df736111589eeec90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003840", "prompt": "What is -5536 + (-5090 + 6254)?", "solution_steps": ["Add: -5090 + 6254 = 1164", "Add: -5536 + 1164 = -4372"], "final_answer": "-4372", "answer_type": "integer", "kind": "expression", "math_text": "-5536 + (-5090 + 6254)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5536, \"b\": -5090, \"c\": 6254}", "seed": "3733987485990473860", "semantic_fingerprint": "sha256:186725f63901ff063972ba61d6babcf456c13db16b8ac1efdb293e65e8c67fe4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003841", "prompt": "What is 17309 * 9392 / 87684 - (-7970)?", "solution_steps": ["Multiply: 17309 * 9392 = 162566128", "Divide: 162566128 / 87684 = 40641532/21921", "Subtract: 40641532/21921 - (-7970) = 215351902/21921"], "final_answer": "215351902/21921", "answer_type": "rational", "kind": "expression", "math_text": "17309 * 9392 / 87684 - (-7970)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17309, \"b\": 9392, \"c\": 87684, \"d\": -7970}", "seed": "14416002157307344079", "semantic_fingerprint": "sha256:3d0b2a8d94e9bec84a6c4b67997ceec861d506965627d25f88664cd71f3930db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003842", "prompt": "Evaluate: -1493 / (57695 / 3052)", "solution_steps": ["Divide: 57695 / 3052 = 57695/3052", "Divide: -1493 / (57695/3052) = -4556636/57695"], "final_answer": "-4556636/57695", "answer_type": "rational", "kind": "expression", "math_text": "-1493 / (57695 / 3052)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1493, \"b\": 57695, \"c\": 3052}", "seed": "7868001323391079248", "semantic_fingerprint": "sha256:08a6ebc3af8a6f677bb7662d8327df3a22d19aa79ce5a595973da077fd6402c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003843", "prompt": "Solve the equation 19x + 21206 = x + 21926 for x.", "solution_steps": ["Subtract x from both sides: 18x + 21206 = 21926", "Subtract 21206 from both sides: 18x = 720", "Divide both sides by 18: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 21206 = x + 21926", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 21206, \"d\": 21926, \"x\": 40}", "seed": "17304957678710271126", "semantic_fingerprint": "sha256:ab1de449ccb7ebce809e878eb08bf10077c3b76849ead37a9f57123b6ac710f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003844", "prompt": "Solve the equation x + 6791 = 6830 for x.", "solution_steps": ["Subtract 6791 from both sides: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6791 = 6830", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6791, \"c\": 6830, \"x\": 39}", "seed": "11149369244149110852", "semantic_fingerprint": "sha256:a505087c5b05b8f8caa7f7bd5a61fcf3ae97202e3937adf164573b71b9f5fe19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003845", "prompt": "What is -2091 * 3465?", "solution_steps": ["Multiply: -2091 * 3465 = -7245315"], "final_answer": "-7245315", "answer_type": "integer", "kind": "expression", "math_text": "-2091 * 3465", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2091, \"b\": 3465}", "seed": "6597227806981906869", "semantic_fingerprint": "sha256:3959f31ea213735fa6b5bb067c8b70a298c66aa484cdbcb8bdbea9dbae4ccebe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003846", "prompt": "Evaluate: -35928 / 95071", "solution_steps": ["Divide: -35928 / 95071 = -35928/95071"], "final_answer": "-35928/95071", "answer_type": "rational", "kind": "expression", "math_text": "-35928 / 95071", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35928, \"b\": 95071}", "seed": "8170466629224279323", "semantic_fingerprint": "sha256:b914c6fc87db84a85d49c5031dc727b36596e09fd8af462557490739f2484c8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003847", "prompt": "Solve for x: x + 4095 = 36x", "solution_steps": ["Subtract 36x from both sides: -35x + 4095 = 0", "Subtract 4095 from both sides: -35x = -4095", "Divide both sides by -35: x = 117"], "final_answer": "117", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4095 = 36x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": 4095, \"x\": 117}", "seed": "299524984393308686", "semantic_fingerprint": "sha256:7265f5072539c7dea2eaf39ca6076fe26c720a43d488289c7778baae9711ace4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003848", "prompt": "Evaluate: (-40328 + (-5640 - 37163) - 32219) * (-30146)", "solution_steps": ["Subtract: -5640 - 37163 = -42803", "Add: -40328 + (-42803) = -83131", "Subtract: -83131 - 32219 = -115350", "Multiply: -115350 * (-30146) = 3477341100"], "final_answer": "3477341100", "answer_type": "integer", "kind": "expression", "math_text": "(-40328 + (-5640 - 37163) - 32219) * (-30146)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40328, \"b\": -5640, \"c\": 37163, \"d\": 32219, \"e\": -30146}", "seed": "8296558031824137277", "semantic_fingerprint": "sha256:57a508bce4e635fb349cc6f56e51ad46ee83b4a2b40f6e4db35b3e8d57e318f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003849", "prompt": "Solve the equation 39x - 8135 = 34(x + 6240) for x.", "solution_steps": ["Expand: 39x - 8135 = 34x + 212160", "Subtract 34x from both sides: 5x - 8135 = 212160", "Add 8135 to both sides: 5x = 220295", "Divide both sides by 5: x = 44059"], "final_answer": "44059", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x - 8135 = 34(x + 6240)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 8135, \"c\": 34, \"d\": 6240}", "seed": "12994753701263380963", "semantic_fingerprint": "sha256:dd452f15b2abf15336675fe083e8e5795db6fba4bcfd6e014f34557e28b4bc41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003850", "prompt": "Solve for x: 16x = 1248", "solution_steps": ["Divide both sides by 16: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = 1248", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"c\": 1248, \"x\": 78}", "seed": "9610816797105971528", "semantic_fingerprint": "sha256:439a1b429d46f419ddc40ba0bb658abb91db5834a05f532560bab3c99428b2cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003851", "prompt": "What value of x satisfies 21(x - 1118) = 40(x - 17095) - 4729?", "solution_steps": ["Expand: 21x - 23478 = 40(x - 17095) - 4729", "Expand: 21x - 23478 = 40x - 683800 - 4729", "Combine constants: 21x - 23478 = 40x - 688529", "Subtract 40x from both sides: -19x - 23478 = -688529", "Add 23478 to both sides: -19x = -665051", "Divide both sides by -19: x = 665051/19"], "final_answer": "665051/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 1118) = 40(x - 17095) - 4729", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1118, \"c\": 40, \"d\": 17095, \"e\": 4729}", "seed": "2342841313631524206", "semantic_fingerprint": "sha256:bf0e76e00503c7205bc29cbaa80198f227f89dd7f67d1293003669c0d1cf3987", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003852", "prompt": "Evaluate: 3456 * (5448 + (-97951))", "solution_steps": ["Add: 5448 + (-97951) = -92503", "Multiply: 3456 * (-92503) = -319690368"], "final_answer": "-319690368", "answer_type": "integer", "kind": "expression", "math_text": "3456 * (5448 + (-97951))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3456, \"b\": 5448, \"c\": -97951}", "seed": "17448845694039406170", "semantic_fingerprint": "sha256:f1b96837623394a95f622132e7f1050b338244fc6305da2c1dcfeb5ebcb66e03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003853", "prompt": "Find x: x + 5665 = 5579", "solution_steps": ["Subtract 5665 from both sides: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5665 = 5579", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5665, \"c\": 5579, \"x\": -86}", "seed": "1605848060621835368", "semantic_fingerprint": "sha256:d89521dc00142055aa7ed42abf6d9c7d1ce834c5327d731790dcd5f53b8c81ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003854", "prompt": "Calculate: (2150 + 93013) * (-9264) / (-8193)", "solution_steps": ["Add: 2150 + 93013 = 95163", "Multiply: 95163 * (-9264) = -881590032", "Divide: -881590032 / (-8193) = 293863344/2731"], "final_answer": "293863344/2731", "answer_type": "rational", "kind": "expression", "math_text": "(2150 + 93013) * (-9264) / (-8193)", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2150, \"b\": 93013, \"c\": -9264, \"d\": -8193}", "seed": "15869925819733360266", "semantic_fingerprint": "sha256:004cb168c4eb3b701096005962245e1f15c9b189813e7080b0df20d429c12f44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003855", "prompt": "Evaluate: -36366 + 4960 + 4194", "solution_steps": ["Add: -36366 + 4960 = -31406", "Add: -31406 + 4194 = -27212"], "final_answer": "-27212", "answer_type": "integer", "kind": "expression", "math_text": "-36366 + 4960 + 4194", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36366, \"b\": 4960, \"c\": 4194}", "seed": "9836914296098966938", "semantic_fingerprint": "sha256:5d80078258d64b885a405d0cf1dc93442f9526820591e36e01806480e3509fa3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003856", "prompt": "What is -9179 + 10111?", "solution_steps": ["Add: -9179 + 10111 = 932"], "final_answer": "932", "answer_type": "integer", "kind": "expression", "math_text": "-9179 + 10111", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9179, \"b\": 10111}", "seed": "16909004249453414268", "semantic_fingerprint": "sha256:338ace175355abf2bfe7bd04583c3d856fa513af722940bd876d343a084c83fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003857", "prompt": "Find x: 24x + 4381 = -19(x - 4289) - 82571", "solution_steps": ["Expand: 24x + 4381 = -19x + 81491 - 82571", "Combine constants: 24x + 4381 = -19x - 1080", "Add 19x to both sides: 43x + 4381 = -1080", "Subtract 4381 from both sides: 43x = -5461", "Divide both sides by 43: x = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 4381 = -19(x - 4289) - 82571", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 4381, \"c\": -19, \"d\": 4289, \"f\": -82571, \"x\": -127}", "seed": "10788399600730800892", "semantic_fingerprint": "sha256:fa975860101e8ab2e812f7cac33e3c22100145813e4aaa5b83a04b67da922606", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003858", "prompt": "What is 71654 + 4534?", "solution_steps": ["Add: 71654 + 4534 = 76188"], "final_answer": "76188", "answer_type": "integer", "kind": "expression", "math_text": "71654 + 4534", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 71654, \"b\": 4534}", "seed": "6376549772904225661", "semantic_fingerprint": "sha256:f93eb59fa59fa657d6454a888ad42d1feb0cf31a1532741c209ed00e2d85de60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003859", "prompt": "What value of x satisfies -31x + 8042 = 18x + 12942?", "solution_steps": ["Subtract 18x from both sides: -49x + 8042 = 12942", "Subtract 8042 from both sides: -49x = 4900", "Divide both sides by -49: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x + 8042 = 18x + 12942", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8042, \"c\": 18, \"e\": 12942, \"x\": -100}", "seed": "2226524696462995793", "semantic_fingerprint": "sha256:235dfa800cd79f0fc10b9e97dbacaacdc6077f34868601a66cfc7fa2fbf3a133", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003860", "prompt": "Compute: -65491 - 8052 * (-6908)", "solution_steps": ["Multiply: 8052 * (-6908) = -55623216", "Subtract: -65491 - (-55623216) = 55557725"], "final_answer": "55557725", "answer_type": "integer", "kind": "expression", "math_text": "-65491 - 8052 * (-6908)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65491, \"b\": 8052, \"c\": -6908}", "seed": "3634486390630083641", "semantic_fingerprint": "sha256:34c2796870ad6defd538ae6f5274efc4e50e20b571082c2e5910f7350497a731", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003861", "prompt": "What is 75582 * (9367 - (-38512)) / (4764 + 78375)?", "solution_steps": ["Subtract: 9367 - (-38512) = 47879", "Multiply: 75582 * 47879 = 3618790578", "Add: 4764 + 78375 = 83139", "Divide: 3618790578 / 83139 = 1206263526/27713"], "final_answer": "1206263526/27713", "answer_type": "rational", "kind": "expression", "math_text": "75582 * (9367 - (-38512)) / (4764 + 78375)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 75582, \"b\": 9367, \"c\": -38512, \"d\": 4764, \"e\": 78375}", "seed": "16036975846293373458", "semantic_fingerprint": "sha256:9a8b91a324731b6aa5a216812a4c6d0c620e34f696722605f449e32e41480112", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003862", "prompt": "Calculate: -38940 + 5559 - (-91351 + (8891 + 7411)) / (-38084)", "solution_steps": ["Add: -38940 + 5559 = -33381", "Add: 8891 + 7411 = 16302", "Add: -91351 + 16302 = -75049", "Divide: -75049 / (-38084) = 75049/38084", "Subtract: -33381 - 75049/38084 = -1271357053/38084"], "final_answer": "-1271357053/38084", "answer_type": "rational", "kind": "expression", "math_text": "-38940 + 5559 - (-91351 + (8891 + 7411)) / (-38084)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (+ n (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38940, \"b\": 5559, \"c\": -91351, \"d\": 8891, \"e\": 7411, \"f\": -38084}", "seed": "9565382071044615737", "semantic_fingerprint": "sha256:c247f92782ee30eef490d3c1f07d9353aab05b49e4a068b51c315c05b17c0872", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003863", "prompt": "Calculate: 66904 / (90564 - 9866)", "solution_steps": ["Subtract: 90564 - 9866 = 80698", "Divide: 66904 / 80698 = 33452/40349"], "final_answer": "33452/40349", "answer_type": "rational", "kind": "expression", "math_text": "66904 / (90564 - 9866)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66904, \"b\": 90564, \"c\": 9866}", "seed": "13009808562532197263", "semantic_fingerprint": "sha256:a6dc4963f25c83c62f07093342b331b05890a73e13fceb0ab2260ed128a9a1b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003864", "prompt": "What value of x satisfies x = 19(x - 6098)?", "solution_steps": ["Expand: x = 19x - 115862", "Subtract 19x from both sides: -18x = -115862", "Divide both sides by -18: x = 57931/9"], "final_answer": "57931/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 19(x - 6098)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 6098}", "seed": "8398308585371750961", "semantic_fingerprint": "sha256:ee5516970528aafae5ba323349c8a751f27020f43cca61d59c4e0ddc242e41ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003865", "prompt": "Evaluate: 1047 - (-2469 - (-5590) - 1981) + 3113", "solution_steps": ["Subtract: -2469 - (-5590) = 3121", "Subtract: 3121 - 1981 = 1140", "Subtract: 1047 - 1140 = -93", "Add: -93 + 3113 = 3020"], "final_answer": "3020", "answer_type": "integer", "kind": "expression", "math_text": "1047 - (-2469 - (-5590) - 1981) + 3113", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1047, \"b\": -2469, \"c\": -5590, \"d\": 1981, \"e\": 3113}", "seed": "7545593245211680320", "semantic_fingerprint": "sha256:666a1fa977e4c096f82b9c483475795d7000e6d7d045dee30aa98db05601fbcc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003866", "prompt": "Compute: 4150 * (-55921)", "solution_steps": ["Multiply: 4150 * (-55921) = -232072150"], "final_answer": "-232072150", "answer_type": "integer", "kind": "expression", "math_text": "4150 * (-55921)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4150, \"b\": -55921}", "seed": "16956794223333893275", "semantic_fingerprint": "sha256:6147661d084eb6c88c03508dcb79d9b7cfe7f4b67980c7114c9f8bd04dac8323", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003867", "prompt": "Calculate: 88228 * 5186 + 36326", "solution_steps": ["Multiply: 88228 * 5186 = 457550408", "Add: 457550408 + 36326 = 457586734"], "final_answer": "457586734", "answer_type": "integer", "kind": "expression", "math_text": "88228 * 5186 + 36326", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88228, \"b\": 5186, \"c\": 36326}", "seed": "10275838306265837652", "semantic_fingerprint": "sha256:e3529d55fb087c339d66f2b8e6bbc216faf5723695d0f036a321b9a03799a4a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003868", "prompt": "What is -8946 * 14989 - (-89892)?", "solution_steps": ["Multiply: -8946 * 14989 = -134091594", "Subtract: -134091594 - (-89892) = -134001702"], "final_answer": "-134001702", "answer_type": "integer", "kind": "expression", "math_text": "-8946 * 14989 - (-89892)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8946, \"b\": 14989, \"c\": -89892}", "seed": "13597430490665304747", "semantic_fingerprint": "sha256:f53393fb403d9acad841cd7e040c549da2212ad2a803c89ac001a5c01c494663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003869", "prompt": "Solve for x: 32(x + 7216) = -25(x + 7089) - 1354", "solution_steps": ["Expand: 32x + 230912 = -25(x + 7089) - 1354", "Expand: 32x + 230912 = -25x - 177225 - 1354", "Combine constants: 32x + 230912 = -25x - 178579", "Add 25x to both sides: 57x + 230912 = -178579", "Subtract 230912 from both sides: 57x = -409491", "Divide both sides by 57: x = -136497/19"], "final_answer": "-136497/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 7216) = -25(x + 7089) - 1354", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 7216, \"c\": -25, \"d\": 7089, \"e\": 1354}", "seed": "17153745330394451971", "semantic_fingerprint": "sha256:802ebbd810f27a2e82a77c320bd7b31a69c205b6b86a1efb9e8feb8e5c880ff7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003870", "prompt": "Compute: 5577 + (-6819) / 7054", "solution_steps": ["Divide: -6819 / 7054 = -6819/7054", "Add: 5577 + (-6819/7054) = 39333339/7054"], "final_answer": "39333339/7054", "answer_type": "rational", "kind": "expression", "math_text": "5577 + (-6819) / 7054", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5577, \"b\": -6819, \"c\": 7054}", "seed": "16798398707089802773", "semantic_fingerprint": "sha256:4a3ca696bb91e50a2fd26d4500990b3e0be907c8feabafd92d16a85d9051ee1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003871", "prompt": "Solve the equation 33x = 28x + 1000 for x.", "solution_steps": ["Subtract 28x from both sides: 5x = 1000", "Divide both sides by 5: x = 200"], "final_answer": "200", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = 28x + 1000", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 28, \"d\": 1000, \"x\": 200}", "seed": "16156631387007122114", "semantic_fingerprint": "sha256:5ea065f762bf9e72e3633af58278717d5de8d07e960d7697358f838bf09877dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003872", "prompt": "Evaluate: (7830 + (-2447 - (-6243))) / (48725 - (-3343))", "solution_steps": ["Subtract: -2447 - (-6243) = 3796", "Add: 7830 + 3796 = 11626", "Subtract: 48725 - (-3343) = 52068", "Divide: 11626 / 52068 = 5813/26034"], "final_answer": "5813/26034", "answer_type": "rational", "kind": "expression", "math_text": "(7830 + (-2447 - (-6243))) / (48725 - (-3343))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7830, \"b\": -2447, \"c\": -6243, \"d\": 48725, \"e\": -3343}", "seed": "4901341883835707460", "semantic_fingerprint": "sha256:5511ba7bd6d280f782f83576920547f34ff7aecdc6035cc72c36c5d668b83264", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003873", "prompt": "Solve the equation 22(x + 6897) = 23(x + 8047) for x.", "solution_steps": ["Expand: 22x + 151734 = 23(x + 8047)", "Expand: 22x + 151734 = 23x + 185081", "Subtract 23x from both sides: -x + 151734 = 185081", "Subtract 151734 from both sides: -x = 33347", "Divide both sides by -1: x = -33347"], "final_answer": "-33347", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 6897) = 23(x + 8047)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6897, \"c\": 23, \"d\": 8047}", "seed": "17237724276321469942", "semantic_fingerprint": "sha256:15ade1ef6b58c5c58d1da5e11d14d79820ac60b07091a2d0e5f5e7609757a4e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003874", "prompt": "Find x: 19x = 1330", "solution_steps": ["Divide both sides by 19: x = 70"], "final_answer": "70", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = 1330", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 1330, \"x\": 70}", "seed": "3524160597530028103", "semantic_fingerprint": "sha256:7cac66c8685db04ac0cf3a0a63a995683b22d76752414e3d4e47e93007d5af68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003875", "prompt": "Compute: 21843 / (-85119 + 68473)", "solution_steps": ["Add: -85119 + 68473 = -16646", "Divide: 21843 / (-16646) = -21843/16646"], "final_answer": "-21843/16646", "answer_type": "rational", "kind": "expression", "math_text": "21843 / (-85119 + 68473)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21843, \"b\": -85119, \"c\": 68473}", "seed": "5941539691852265027", "semantic_fingerprint": "sha256:c5220bfc5ffbcdeb2374969169d67331ec4f1233dc4ae9ae41d7664e55bf13f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003876", "prompt": "Calculate: 36135 + 46461", "solution_steps": ["Add: 36135 + 46461 = 82596"], "final_answer": "82596", "answer_type": "integer", "kind": "expression", "math_text": "36135 + 46461", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 36135, \"b\": 46461}", "seed": "13024487376706742393", "semantic_fingerprint": "sha256:31fda6232e48f1c2a3c8a2aaadea6caacd59c8676896545ac46d2b061026683d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003877", "prompt": "Solve the equation 14(x + 15557) + 7966 = 22(x + 1822) + 5252 for x.", "solution_steps": ["Expand: 14x + 217798 + 7966 = 22(x + 1822) + 5252", "Expand: 14x + 217798 + 7966 = 22x + 40084 + 5252", "Combine constants: 14x + 225764 = 22x + 40084 + 5252", "Combine constants: 14x + 225764 = 22x + 45336", "Subtract 22x from both sides: -8x + 225764 = 45336", "Subtract 225764 from both sides: -8x = -180428", "Divide both sides by -8: x = 45107/2"], "final_answer": "45107/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 15557) + 7966 = 22(x + 1822) + 5252", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 15557, \"c\": 7966, \"d\": 22, \"e\": 1822, \"f\": 5252}", "seed": "4991376804854084989", "semantic_fingerprint": "sha256:aa9a3ccd9fb64fbb6f23d08663f2c3ae96b231287fa5ef4a5abd5a19691721ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003878", "prompt": "What value of x satisfies x - 69980 = -70010?", "solution_steps": ["Add 69980 to both sides: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 69980 = -70010", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69980, \"c\": -70010, \"x\": -30}", "seed": "12651305569576527617", "semantic_fingerprint": "sha256:a9406038134f7f8aa1446414c428212bb9cbe65407df28b445749b79b44945b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003879", "prompt": "Evaluate: 9341 + (-4818 - 98958)", "solution_steps": ["Subtract: -4818 - 98958 = -103776", "Add: 9341 + (-103776) = -94435"], "final_answer": "-94435", "answer_type": "integer", "kind": "expression", "math_text": "9341 + (-4818 - 98958)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9341, \"b\": -4818, \"c\": 98958}", "seed": "2834073575237618943", "semantic_fingerprint": "sha256:47c6d25625e89f1e2a26a845ec1cf4b1b77ba04e2ede28b0a42a9f26842954a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003880", "prompt": "Calculate: 7067 + (-7641 + 2487)", "solution_steps": ["Add: -7641 + 2487 = -5154", "Add: 7067 + (-5154) = 1913"], "final_answer": "1913", "answer_type": "integer", "kind": "expression", "math_text": "7067 + (-7641 + 2487)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7067, \"b\": -7641, \"c\": 2487}", "seed": "1847921302177605553", "semantic_fingerprint": "sha256:286ae1eb9099bb7cbb0cebe58370ab30b65e69184ea5bb79d78f873bebdbf157", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003881", "prompt": "Calculate: 94623 * (-7058)", "solution_steps": ["Multiply: 94623 * (-7058) = -667849134"], "final_answer": "-667849134", "answer_type": "integer", "kind": "expression", "math_text": "94623 * (-7058)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94623, \"b\": -7058}", "seed": "9181829083685298572", "semantic_fingerprint": "sha256:8a1373e82c1a6d3cf5beea20a7f023887cb316a01791516a250f3310db1cb858", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003882", "prompt": "What value of x satisfies 34(x + 5737) = 40(x + 8715)?", "solution_steps": ["Expand: 34x + 195058 = 40(x + 8715)", "Expand: 34x + 195058 = 40x + 348600", "Subtract 40x from both sides: -6x + 195058 = 348600", "Subtract 195058 from both sides: -6x = 153542", "Divide both sides by -6: x = -76771/3"], "final_answer": "-76771/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 5737) = 40(x + 8715)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 5737, \"c\": 40, \"d\": 8715}", "seed": "2788907390777444954", "semantic_fingerprint": "sha256:4d11013875cdfd7ee8a7afa6179d91f6f3f4d72cd0f64725fa61686c9ca92a99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003883", "prompt": "What is 1787 + (-67662)?", "solution_steps": ["Add: 1787 + (-67662) = -65875"], "final_answer": "-65875", "answer_type": "integer", "kind": "expression", "math_text": "1787 + (-67662)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1787, \"b\": -67662}", "seed": "13881994024225518287", "semantic_fingerprint": "sha256:c56dcd4f627465472cd514c75bbc26dfeddca78c15068ee126395c841d066944", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003884", "prompt": "Compute: -5521 + 4394", "solution_steps": ["Add: -5521 + 4394 = -1127"], "final_answer": "-1127", "answer_type": "integer", "kind": "expression", "math_text": "-5521 + 4394", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5521, \"b\": 4394}", "seed": "14662561704279438527", "semantic_fingerprint": "sha256:8c218a174ec67dcbbd1fa915dc89830641e20eefeaaf93cc6258a55dbd4ff3bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003885", "prompt": "What is 61849 / (-39751 / (-1861))?", "solution_steps": ["Divide: -39751 / (-1861) = 39751/1861", "Divide: 61849 / (39751/1861) = 906307/313"], "final_answer": "906307/313", "answer_type": "rational", "kind": "expression", "math_text": "61849 / (-39751 / (-1861))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61849, \"b\": -39751, \"c\": -1861}", "seed": "16279047582363628452", "semantic_fingerprint": "sha256:a559db4262be32f6e49dbd94dea7c2643122292b3e965b1bb3a61012633e55bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003886", "prompt": "Compute: -76399 + 9951 * 97546", "solution_steps": ["Multiply: 9951 * 97546 = 970680246", "Add: -76399 + 970680246 = 970603847"], "final_answer": "970603847", "answer_type": "integer", "kind": "expression", "math_text": "-76399 + 9951 * 97546", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76399, \"b\": 9951, \"c\": 97546}", "seed": "18121515991013924773", "semantic_fingerprint": "sha256:beac3be084e87f779981222cdaeff321fd6715b1cb603bcf338e4ddd0848e252", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003887", "prompt": "Evaluate: 2476 - (-8319) + (-5784 + (-8788))", "solution_steps": ["Subtract: 2476 - (-8319) = 10795", "Add: -5784 + (-8788) = -14572", "Add: 10795 + (-14572) = -3777"], "final_answer": "-3777", "answer_type": "integer", "kind": "expression", "math_text": "2476 - (-8319) + (-5784 + (-8788))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2476, \"b\": -8319, \"c\": -5784, \"d\": -8788}", "seed": "2590670445170922953", "semantic_fingerprint": "sha256:c94af2d77116b0a45166b71ad1fde47e11f01f8c5d22f6f8a8795ecb06bd7567", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003888", "prompt": "What is -28957 / (-3425) * (-7033) + (-1777) + (-2933)?", "solution_steps": ["Divide: -28957 / (-3425) = 28957/3425", "Multiply: (28957/3425) * (-7033) = -203654581/3425", "Add: -203654581/3425 + (-1777) = -209740806/3425", "Add: -209740806/3425 + (-2933) = -219786331/3425"], "final_answer": "-219786331/3425", "answer_type": "rational", "kind": "expression", "math_text": "-28957 / (-3425) * (-7033) + (-1777) + (-2933)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28957, \"b\": -3425, \"c\": -7033, \"d\": -1777, \"e\": -2933}", "seed": "5295381444181033056", "semantic_fingerprint": "sha256:9243027e66b3e04767b027c79779845ed11f582ed74d8a8ecec296c059deb05b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003889", "prompt": "Evaluate: -42835 * (-22408) - (-3537) * 40861", "solution_steps": ["Multiply: -42835 * (-22408) = 959846680", "Multiply: -3537 * 40861 = -144525357", "Subtract: 959846680 - (-144525357) = 1104372037"], "final_answer": "1104372037", "answer_type": "integer", "kind": "expression", "math_text": "-42835 * (-22408) - (-3537) * 40861", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -42835, \"b\": -22408, \"c\": -3537, \"d\": 40861}", "seed": "9454991902212755095", "semantic_fingerprint": "sha256:c6479d905a8a84e23f3046976fa070815117815be909134f6d1eceefde08cb65", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003890", "prompt": "Evaluate: -6734 / 4783", "solution_steps": ["Divide: -6734 / 4783 = -6734/4783"], "final_answer": "-6734/4783", "answer_type": "rational", "kind": "expression", "math_text": "-6734 / 4783", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6734, \"b\": 4783}", "seed": "11025885532371533144", "semantic_fingerprint": "sha256:66420a33a38f822084a05e28a182eeaeef951f42a836289b29c528201b0427c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003891", "prompt": "Evaluate: -3247 * (-3025 + 1751) + (-73408)", "solution_steps": ["Add: -3025 + 1751 = -1274", "Multiply: -3247 * (-1274) = 4136678", "Add: 4136678 + (-73408) = 4063270"], "final_answer": "4063270", "answer_type": "integer", "kind": "expression", "math_text": "-3247 * (-3025 + 1751) + (-73408)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3247, \"b\": -3025, \"c\": 1751, \"d\": -73408}", "seed": "6043454300319913564", "semantic_fingerprint": "sha256:0fa0b3e7b94ea8007dfc93c2e9f8ffd9eefb4d74736a3b87e2e1bd85a00000a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003892", "prompt": "Evaluate: (4772 + (-3335)) * 2336", "solution_steps": ["Add: 4772 + (-3335) = 1437", "Multiply: 1437 * 2336 = 3356832"], "final_answer": "3356832", "answer_type": "integer", "kind": "expression", "math_text": "(4772 + (-3335)) * 2336", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4772, \"b\": -3335, \"c\": 2336}", "seed": "2860073750733194114", "semantic_fingerprint": "sha256:7268dfd5c2ef6d7b85c58c6b63c796b404a768516d6495093f50154d87bb44f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003893", "prompt": "Calculate: 2766 + (-5897)", "solution_steps": ["Add: 2766 + (-5897) = -3131"], "final_answer": "-3131", "answer_type": "integer", "kind": "expression", "math_text": "2766 + (-5897)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2766, \"b\": -5897}", "seed": "16575034534020476263", "semantic_fingerprint": "sha256:b5ff573b6f9628de5493f12ef322ce0537883b81b7dbdae316bde5fde0afe9f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003894", "prompt": "Solve for x: 13(x + 34356) = 38(x + 49065)", "solution_steps": ["Expand: 13x + 446628 = 38(x + 49065)", "Expand: 13x + 446628 = 38x + 1864470", "Subtract 38x from both sides: -25x + 446628 = 1864470", "Subtract 446628 from both sides: -25x = 1417842", "Divide both sides by -25: x = -1417842/25"], "final_answer": "-1417842/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 34356) = 38(x + 49065)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 34356, \"c\": 38, \"d\": 49065}", "seed": "10922437823953765429", "semantic_fingerprint": "sha256:69969a641e013bdfaea599d90ee181a403d79285d95bb623e012637e8a178524", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003895", "prompt": "Evaluate: 2732 + (-9368) - (-89494) - (81901 / (-77734) + (-48557))", "solution_steps": ["Add: 2732 + (-9368) = -6636", "Subtract: -6636 - (-89494) = 82858", "Divide: 81901 / (-77734) = -81901/77734", "Add: -81901/77734 + (-48557) = -3774611739/77734", "Subtract: 82858 - (-3774611739/77734) = 10215495511/77734"], "final_answer": "10215495511/77734", "answer_type": "rational", "kind": "expression", "math_text": "2732 + (-9368) - (-89494) - (81901 / (-77734) + (-48557))", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2732, \"b\": -9368, \"c\": -89494, \"d\": 81901, \"e\": -77734, \"f\": -48557}", "seed": "10055551642168428607", "semantic_fingerprint": "sha256:d7bc84adeb621e48117d0b1d713d8a0ea26757b63c9a6d6ecd5eb00a07c5faa4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003896", "prompt": "Compute: (9355 + 7030) * (-64339) + 6957 * 6944", "solution_steps": ["Add: 9355 + 7030 = 16385", "Multiply: 16385 * (-64339) = -1054194515", "Multiply: 6957 * 6944 = 48309408", "Add: -1054194515 + 48309408 = -1005885107"], "final_answer": "-1005885107", "answer_type": "integer", "kind": "expression", "math_text": "(9355 + 7030) * (-64339) + 6957 * 6944", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9355, \"b\": 7030, \"c\": -64339, \"d\": 6957, \"e\": 6944}", "seed": "14127759868136412146", "semantic_fingerprint": "sha256:4c776e1d98da53748ae167e5fceabd6a4389fb13661751f65fa0c59ed4d431b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003897", "prompt": "Evaluate: -36232 * (-6812) / (-76403)", "solution_steps": ["Multiply: -36232 * (-6812) = 246812384", "Divide: 246812384 / (-76403) = -246812384/76403"], "final_answer": "-246812384/76403", "answer_type": "rational", "kind": "expression", "math_text": "-36232 * (-6812) / (-76403)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36232, \"b\": -6812, \"c\": -76403}", "seed": "16783224305653862831", "semantic_fingerprint": "sha256:652343ef6dce6c7c9e86e1897dd1f29646133418247e5dcb6314a75400fddcc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003898", "prompt": "What value of x satisfies 27(x - 13389) - 7267 = -28(x + 7766)?", "solution_steps": ["Expand: 27x - 361503 - 7267 = -28(x + 7766)", "Expand: 27x - 361503 - 7267 = -28x - 217448", "Combine constants: 27x - 368770 = -28x - 217448", "Add 28x to both sides: 55x - 368770 = -217448", "Add 368770 to both sides: 55x = 151322", "Divide both sides by 55: x = 151322/55"], "final_answer": "151322/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 13389) - 7267 = -28(x + 7766)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 13389, \"c\": 7267, \"d\": -28, \"e\": 7766}", "seed": "7405615361777289417", "semantic_fingerprint": "sha256:dfc701184785c731040b5b03a8fba68de4449144c51dab3b179027bc2ea31c0a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003899", "prompt": "Calculate: -92230 / (-2688) + (20581 + (34064 + (-6160)))", "solution_steps": ["Divide: -92230 / (-2688) = 46115/1344", "Add: 34064 + (-6160) = 27904", "Add: 20581 + 27904 = 48485", "Add: 46115/1344 + 48485 = 65209955/1344"], "final_answer": "65209955/1344", "answer_type": "rational", "kind": "expression", "math_text": "-92230 / (-2688) + (20581 + (34064 + (-6160)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -92230, \"b\": -2688, \"c\": 20581, \"d\": 34064, \"e\": -6160}", "seed": "10108771550689750500", "semantic_fingerprint": "sha256:c689f99249e1afb9961e625f29fa6f085261cd127e3191a71e5ba2d8a32c2406", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003900", "prompt": "Calculate: 87041 / (-98582)", "solution_steps": ["Divide: 87041 / (-98582) = -87041/98582"], "final_answer": "-87041/98582", "answer_type": "rational", "kind": "expression", "math_text": "87041 / (-98582)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87041, \"b\": -98582}", "seed": "964919350838100819", "semantic_fingerprint": "sha256:104e46e6a0c7b09f591e1667fcd7ce4fdd16d0faac56b2127e8861f8d962bd2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003901", "prompt": "Evaluate: 9353 + 76959 / 17888", "solution_steps": ["Divide: 76959 / 17888 = 76959/17888", "Add: 9353 + 76959/17888 = 167383423/17888"], "final_answer": "167383423/17888", "answer_type": "rational", "kind": "expression", "math_text": "9353 + 76959 / 17888", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9353, \"b\": 76959, \"c\": 17888}", "seed": "3578182452200456797", "semantic_fingerprint": "sha256:dea6cc7d7b6448cdb945adc6eb67a6721563a405bef3071f4d789f76e376f620", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003902", "prompt": "Calculate: -8572 / ((8189 - 8739) / (-1301))", "solution_steps": ["Subtract: 8189 - 8739 = -550", "Divide: -550 / (-1301) = 550/1301", "Divide: -8572 / (550/1301) = -5576086/275"], "final_answer": "-5576086/275", "answer_type": "rational", "kind": "expression", "math_text": "-8572 / ((8189 - 8739) / (-1301))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8572, \"b\": 8189, \"c\": 8739, \"d\": -1301}", "seed": "10242916935241551864", "semantic_fingerprint": "sha256:9f6054af9a89870b065dca5c9c94c9ae9015edecf2e24180ca653cab46616f7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003903", "prompt": "Compute: -43565 / (-31291)", "solution_steps": ["Divide: -43565 / (-31291) = 43565/31291"], "final_answer": "43565/31291", "answer_type": "rational", "kind": "expression", "math_text": "-43565 / (-31291)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43565, \"b\": -31291}", "seed": "3706143826966510262", "semantic_fingerprint": "sha256:b07d861bdf416ab7b3813c603a234667915fe983e67788ccfb5090a3c4196710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003904", "prompt": "What value of x satisfies 24x - 7408 = x - 10743?", "solution_steps": ["Subtract x from both sides: 23x - 7408 = -10743", "Add 7408 to both sides: 23x = -3335", "Divide both sides by 23: x = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 7408 = x - 10743", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 7408, \"d\": -10743, \"x\": -145}", "seed": "17746995296978824082", "semantic_fingerprint": "sha256:6d599c9967f61e4e91e0505cd0d23b31b2bc34276356268d8caf96f9090467d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003905", "prompt": "What is -3078 / (-9649)?", "solution_steps": ["Divide: -3078 / (-9649) = 3078/9649"], "final_answer": "3078/9649", "answer_type": "rational", "kind": "expression", "math_text": "-3078 / (-9649)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3078, \"b\": -9649}", "seed": "7322319949474719917", "semantic_fingerprint": "sha256:a790f7509ace9a4e77288691428db9bd8f2a731d6a8da642945c33d477e174cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003906", "prompt": "Calculate: (7831 + (-5829)) * (-2000)", "solution_steps": ["Add: 7831 + (-5829) = 2002", "Multiply: 2002 * (-2000) = -4004000"], "final_answer": "-4004000", "answer_type": "integer", "kind": "expression", "math_text": "(7831 + (-5829)) * (-2000)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7831, \"b\": -5829, \"c\": -2000}", "seed": "7683586011092523075", "semantic_fingerprint": "sha256:0e0d66ddef98893c3e218d1b40585aa9e1834d247affc6ccb951a2c2c22134a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003907", "prompt": "What is (3019 + (-2600) + 3549 - 3194) / (-57678)?", "solution_steps": ["Add: 3019 + (-2600) = 419", "Add: 419 + 3549 = 3968", "Subtract: 3968 - 3194 = 774", "Divide: 774 / (-57678) = -129/9613"], "final_answer": "-129/9613", "answer_type": "rational", "kind": "expression", "math_text": "(3019 + (-2600) + 3549 - 3194) / (-57678)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3019, \"b\": -2600, \"c\": 3549, \"d\": 3194, \"e\": -57678}", "seed": "13819536667411954184", "semantic_fingerprint": "sha256:a3085d2501692311d8bf1f7d4d5fe082d87346b9dc5873759cf835f848e5d5d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003908", "prompt": "Calculate: -67496 - (-14185) - 4822", "solution_steps": ["Subtract: -67496 - (-14185) = -53311", "Subtract: -53311 - 4822 = -58133"], "final_answer": "-58133", "answer_type": "integer", "kind": "expression", "math_text": "-67496 - (-14185) - 4822", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67496, \"b\": -14185, \"c\": 4822}", "seed": "13337904465199663077", "semantic_fingerprint": "sha256:b9aa49e3987aa8591658d06e879d596c31e4fc8c16accb7b61b227d287878ea0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003909", "prompt": "Evaluate: 76200 * 8611", "solution_steps": ["Multiply: 76200 * 8611 = 656158200"], "final_answer": "656158200", "answer_type": "integer", "kind": "expression", "math_text": "76200 * 8611", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 76200, \"b\": 8611}", "seed": "8118582857715368448", "semantic_fingerprint": "sha256:f84bb7d2a5c685c8f97dddc17c4447b95d00408237b36e8c15eb3286d13573fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003910", "prompt": "Calculate: (-7769 - 80597) / 4397 - (-6908) - 8314", "solution_steps": ["Subtract: -7769 - 80597 = -88366", "Divide: -88366 / 4397 = -88366/4397", "Subtract: -88366/4397 - (-6908) = 30286110/4397", "Subtract: 30286110/4397 - 8314 = -6270548/4397"], "final_answer": "-6270548/4397", "answer_type": "rational", "kind": "expression", "math_text": "(-7769 - 80597) / 4397 - (-6908) - 8314", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7769, \"b\": 80597, \"c\": 4397, \"d\": -6908, \"e\": 8314}", "seed": "16330676317689910745", "semantic_fingerprint": "sha256:224b135229fcad57c2cd25d543fbe0905964a4221cc3a5415321fc884a19033d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003911", "prompt": "Evaluate: 68463 - 23303 / (-64709)", "solution_steps": ["Divide: 23303 / (-64709) = -23303/64709", "Subtract: 68463 - (-23303/64709) = 4430195570/64709"], "final_answer": "4430195570/64709", "answer_type": "rational", "kind": "expression", "math_text": "68463 - 23303 / (-64709)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68463, \"b\": 23303, \"c\": -64709}", "seed": "2567440169469620691", "semantic_fingerprint": "sha256:1fb247e7c8bff704c6cba973680fde689457841f78671967b9dd64c03382693d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003912", "prompt": "Compute: -7359 - (-20511)", "solution_steps": ["Subtract: -7359 - (-20511) = 13152"], "final_answer": "13152", "answer_type": "integer", "kind": "expression", "math_text": "-7359 - (-20511)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7359, \"b\": -20511}", "seed": "8419987952861720417", "semantic_fingerprint": "sha256:9eb9a76290047c9152d394b81157df5feaf8a700c32f39b34c50c0a4e2f26813", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003913", "prompt": "What is (-4725 - 22941) / (-9987 + (-63412))?", "solution_steps": ["Subtract: -4725 - 22941 = -27666", "Add: -9987 + (-63412) = -73399", "Divide: -27666 / (-73399) = 954/2531"], "final_answer": "954/2531", "answer_type": "rational", "kind": "expression", "math_text": "(-4725 - 22941) / (-9987 + (-63412))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4725, \"b\": 22941, \"c\": -9987, \"d\": -63412}", "seed": "10158764730358895382", "semantic_fingerprint": "sha256:fb5b5711c8f3dbbf10deefcd8deaac860b8831bb3c527b8814df98e523ec3386", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003914", "prompt": "Compute: 5018 + (5895 + (-3337))", "solution_steps": ["Add: 5895 + (-3337) = 2558", "Add: 5018 + 2558 = 7576"], "final_answer": "7576", "answer_type": "integer", "kind": "expression", "math_text": "5018 + (5895 + (-3337))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5018, \"b\": 5895, \"c\": -3337}", "seed": "10490473473557708359", "semantic_fingerprint": "sha256:72c5190b0eae8f2552a6f1ab84e6ada38c91aae25763cfa5080fc6b8bf4384c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003915", "prompt": "What is (5346 - 6977 + (-4346)) * (1135 / 81633) - (-21269)?", "solution_steps": ["Subtract: 5346 - 6977 = -1631", "Add: -1631 + (-4346) = -5977", "Divide: 1135 / 81633 = 1135/81633", "Multiply: -5977 * (1135/81633) = -6783895/81633", "Subtract: -6783895/81633 - (-21269) = 1729468382/81633"], "final_answer": "1729468382/81633", "answer_type": "rational", "kind": "expression", "math_text": "(5346 - 6977 + (-4346)) * (1135 / 81633) - (-21269)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5346, \"b\": 6977, \"c\": -4346, \"d\": 1135, \"e\": 81633, \"f\": -21269}", "seed": "16916906706074799683", "semantic_fingerprint": "sha256:3caee40f45fd76238d265cd9128806b5b98f558c2f5d3a6eb820f199ec106f47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003916", "prompt": "What is -69584 / (-4506 / 20764)?", "solution_steps": ["Divide: -4506 / 20764 = -2253/10382", "Divide: -69584 / (-2253/10382) = 722421088/2253"], "final_answer": "722421088/2253", "answer_type": "rational", "kind": "expression", "math_text": "-69584 / (-4506 / 20764)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69584, \"b\": -4506, \"c\": 20764}", "seed": "3013677973266133134", "semantic_fingerprint": "sha256:3209bc44184c5a391c50c48b57b27249052b61b4b32ef1ea3b5f926180fdbe46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003917", "prompt": "What is -7581 + 72138 * 2761?", "solution_steps": ["Multiply: 72138 * 2761 = 199173018", "Add: -7581 + 199173018 = 199165437"], "final_answer": "199165437", "answer_type": "integer", "kind": "expression", "math_text": "-7581 + 72138 * 2761", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7581, \"b\": 72138, \"c\": 2761}", "seed": "3072496127798146055", "semantic_fingerprint": "sha256:b91252f2fd7e8d6d230deb7dbd4318dcf9eda0af90c6f266f9139576debb12e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003918", "prompt": "Calculate: 6136 * 50861 - 6357", "solution_steps": ["Multiply: 6136 * 50861 = 312083096", "Subtract: 312083096 - 6357 = 312076739"], "final_answer": "312076739", "answer_type": "integer", "kind": "expression", "math_text": "6136 * 50861 - 6357", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6136, \"b\": 50861, \"c\": 6357}", "seed": "13965101210604838138", "semantic_fingerprint": "sha256:9aa3b149d3246fb33cd618a0c366acd6ab6e7f74618c2e415d7bfd5e69609560", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003919", "prompt": "Compute: -2888 + 7298", "solution_steps": ["Add: -2888 + 7298 = 4410"], "final_answer": "4410", "answer_type": "integer", "kind": "expression", "math_text": "-2888 + 7298", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2888, \"b\": 7298}", "seed": "15266233023598212341", "semantic_fingerprint": "sha256:bdbcee9a89dd5cfc714aed2937b436431cb71c6a25e5c60f5d3e150d1eb63047", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003920", "prompt": "Calculate: -4764 + 7489 * 9578 + (-8731 + (-1102))", "solution_steps": ["Multiply: 7489 * 9578 = 71729642", "Add: -4764 + 71729642 = 71724878", "Add: -8731 + (-1102) = -9833", "Add: 71724878 + (-9833) = 71715045"], "final_answer": "71715045", "answer_type": "integer", "kind": "expression", "math_text": "-4764 + 7489 * 9578 + (-8731 + (-1102))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4764, \"b\": 7489, \"c\": 9578, \"d\": -8731, \"e\": -1102}", "seed": "3963173687655514620", "semantic_fingerprint": "sha256:eb7b10baa206af4d29da8b0471260159e41958ac3605976128296ccfd8b4ee2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003921", "prompt": "Evaluate: 87788 * (-5505)", "solution_steps": ["Multiply: 87788 * (-5505) = -483272940"], "final_answer": "-483272940", "answer_type": "integer", "kind": "expression", "math_text": "87788 * (-5505)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 87788, \"b\": -5505}", "seed": "11697217225294716958", "semantic_fingerprint": "sha256:cf335ca422b75baf1b732b3b5288702709e3af3b920d30a0afee6387a0a44a17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003922", "prompt": "Calculate: 60327 - 21442", "solution_steps": ["Subtract: 60327 - 21442 = 38885"], "final_answer": "38885", "answer_type": "integer", "kind": "expression", "math_text": "60327 - 21442", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60327, \"b\": 21442}", "seed": "2562400282381381001", "semantic_fingerprint": "sha256:dd4bd2c06583cd74c568737e4aa6c0a6fde8499954dfac6b3b219db01bdb41df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003923", "prompt": "What is 3771 + (80827 / (-1761) - (-34607)) + 19718?", "solution_steps": ["Divide: 80827 / (-1761) = -80827/1761", "Subtract: -80827/1761 - (-34607) = 60862100/1761", "Add: 3771 + 60862100/1761 = 67502831/1761", "Add: 67502831/1761 + 19718 = 102226229/1761"], "final_answer": "102226229/1761", "answer_type": "rational", "kind": "expression", "math_text": "3771 + (80827 / (-1761) - (-34607)) + 19718", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3771, \"b\": 80827, \"c\": -1761, \"d\": -34607, \"e\": 19718}", "seed": "5887107712120967418", "semantic_fingerprint": "sha256:f85d973f70d805752035256117b615ec8600b679001bb63a1ff306d61d3fefb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003924", "prompt": "What value of x satisfies x - 77190 = 14(x + 73805) + 96396?", "solution_steps": ["Expand: x - 77190 = 14x + 1033270 + 96396", "Combine constants: x - 77190 = 14x + 1129666", "Subtract 14x from both sides: -13x - 77190 = 1129666", "Add 77190 to both sides: -13x = 1206856", "Divide both sides by -13: x = -1206856/13"], "final_answer": "-1206856/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 77190 = 14(x + 73805) + 96396", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 77190, \"b\": 14, \"c\": 73805, \"d\": 96396}", "seed": "9060006208434882866", "semantic_fingerprint": "sha256:936c145db84d53dffb07acce2ab551d7eda163d2f97276d372f1e2716251582e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003925", "prompt": "What is 5627 + (4625 + 56003) / (-8633)?", "solution_steps": ["Add: 4625 + 56003 = 60628", "Divide: 60628 / (-8633) = -60628/8633", "Add: 5627 + (-60628/8633) = 48517263/8633"], "final_answer": "48517263/8633", "answer_type": "rational", "kind": "expression", "math_text": "5627 + (4625 + 56003) / (-8633)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5627, \"b\": 4625, \"c\": 56003, \"d\": -8633}", "seed": "13431018414695671898", "semantic_fingerprint": "sha256:67d12502551f2670778b0a60c23068c293c5fa5c00e025f78433bd7cb4966ea2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003926", "prompt": "Compute: 84405 - (4661 - 3029 - 35696)", "solution_steps": ["Subtract: 4661 - 3029 = 1632", "Subtract: 1632 - 35696 = -34064", "Subtract: 84405 - (-34064) = 118469"], "final_answer": "118469", "answer_type": "integer", "kind": "expression", "math_text": "84405 - (4661 - 3029 - 35696)", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84405, \"b\": 4661, \"c\": 3029, \"d\": 35696}", "seed": "11881134199725129462", "semantic_fingerprint": "sha256:0ed7044d14768328dba290f1a2cd4f378f03243a5a16417f097cc2dac0403506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003927", "prompt": "What is 82740 / 70408 + (-53882)?", "solution_steps": ["Divide: 82740 / 70408 = 20685/17602", "Add: 20685/17602 + (-53882) = -948410279/17602"], "final_answer": "-948410279/17602", "answer_type": "rational", "kind": "expression", "math_text": "82740 / 70408 + (-53882)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82740, \"b\": 70408, \"c\": -53882}", "seed": "7272188218524943054", "semantic_fingerprint": "sha256:3ff92b35c1b798e9fbed9fcfb6a0db1c800d11cee61ffbafe522c3b175737542", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003928", "prompt": "Find x: x = 27(x + 2401)", "solution_steps": ["Expand: x = 27x + 64827", "Subtract 27x from both sides: -26x = 64827", "Divide both sides by -26: x = -64827/26"], "final_answer": "-64827/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x + 2401)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 2401}", "seed": "15603403890251524214", "semantic_fingerprint": "sha256:0af90c49a164f3bc9cb7eaa547cfbaed6121a43bdfdf1e2d8cfe559a7f7b161e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003929", "prompt": "What value of x satisfies -18(x - 1554) = 18(x + 1569) + 5274?", "solution_steps": ["Expand: -18x + 27972 = 18(x + 1569) + 5274", "Expand: -18x + 27972 = 18x + 28242 + 5274", "Combine constants: -18x + 27972 = 18x + 33516", "Subtract 18x from both sides: -36x + 27972 = 33516", "Subtract 27972 from both sides: -36x = 5544", "Divide both sides by -36: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 1554) = 18(x + 1569) + 5274", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 1554, \"c\": 18, \"d\": 1569, \"f\": 5274, \"x\": -154}", "seed": "8390208530934074225", "semantic_fingerprint": "sha256:9f08e9736fa1027b13e7e22cf378dcd75ce08430cca3460b0528f995f73e2904", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003930", "prompt": "Solve for x: x + 3014 = 39(x - 4675) - 5336", "solution_steps": ["Expand: x + 3014 = 39x - 182325 - 5336", "Combine constants: x + 3014 = 39x - 187661", "Subtract 39x from both sides: -38x + 3014 = -187661", "Subtract 3014 from both sides: -38x = -190675", "Divide both sides by -38: x = 190675/38"], "final_answer": "190675/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3014 = 39(x - 4675) - 5336", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3014, \"b\": 39, \"c\": 4675, \"d\": 5336}", "seed": "17749347660325357127", "semantic_fingerprint": "sha256:9f4064cb13143f162b1fc526cc2f8f4912978aa624761bfc764d83992070046c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003931", "prompt": "Solve for x: -27x = x + 1988", "solution_steps": ["Subtract x from both sides: -28x = 1988", "Divide both sides by -28: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27x = x + 1988", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"c\": 1988, \"x\": -71}", "seed": "3775396454158656075", "semantic_fingerprint": "sha256:c2b1d235b2eccd92d52f49aac5fcd6c101ed6944c0baefdc49e9fa505a64391e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003932", "prompt": "Find x: 32(x - 8250) - 6016 = 27x + 1814", "solution_steps": ["Expand: 32x - 264000 - 6016 = 27x + 1814", "Combine constants: 32x - 270016 = 27x + 1814", "Subtract 27x from both sides: 5x - 270016 = 1814", "Add 270016 to both sides: 5x = 271830", "Divide both sides by 5: x = 54366"], "final_answer": "54366", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 8250) - 6016 = 27x + 1814", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8250, \"c\": 6016, \"d\": 27, \"e\": 1814}", "seed": "12841434666010404265", "semantic_fingerprint": "sha256:4bbd516406bb510658c964f694f775042ecc49d2d31fb08faaa779b1867ceb67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003933", "prompt": "Evaluate: -2826 + 44468", "solution_steps": ["Add: -2826 + 44468 = 41642"], "final_answer": "41642", "answer_type": "integer", "kind": "expression", "math_text": "-2826 + 44468", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2826, \"b\": 44468}", "seed": "6327161852614226749", "semantic_fingerprint": "sha256:afec8eedb28365b4daf84d1327436a3a778d197433f0a9b0b891b2803a8b99b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003934", "prompt": "Calculate: 7270 + 10470 + (-3434 - (53759 * 9981 + (-45329)))", "solution_steps": ["Add: 7270 + 10470 = 17740", "Multiply: 53759 * 9981 = 536568579", "Add: 536568579 + (-45329) = 536523250", "Subtract: -3434 - 536523250 = -536526684", "Add: 17740 + (-536526684) = -536508944"], "final_answer": "-536508944", "answer_type": "integer", "kind": "expression", "math_text": "7270 + 10470 + (-3434 - (53759 * 9981 + (-45329)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ (* n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7270, \"b\": 10470, \"c\": -3434, \"d\": 53759, \"e\": 9981, \"f\": -45329}", "seed": "9031643825503986098", "semantic_fingerprint": "sha256:147abed7f92bc7f19e3577aababed5a2639b3e876d0942cc73bf892d7d983f17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003935", "prompt": "What is -30028 / (-25333 - (-6998 + (-47562) + (9476 + 42171)))?", "solution_steps": ["Add: -6998 + (-47562) = -54560", "Add: 9476 + 42171 = 51647", "Add: -54560 + 51647 = -2913", "Subtract: -25333 - (-2913) = -22420", "Divide: -30028 / (-22420) = 7507/5605"], "final_answer": "7507/5605", "answer_type": "rational", "kind": "expression", "math_text": "-30028 / (-25333 - (-6998 + (-47562) + (9476 + 42171)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (+ (+ n n) (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30028, \"b\": -25333, \"c\": -6998, \"d\": -47562, \"e\": 9476, \"f\": 42171}", "seed": "8566420654084991886", "semantic_fingerprint": "sha256:93c447db4713bfa5ea3f1e101bdbed05cba4c1d13399b662a33b086612aad507", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003936", "prompt": "Solve for x: 36x + 91880 = 19x + 89687", "solution_steps": ["Subtract 19x from both sides: 17x + 91880 = 89687", "Subtract 91880 from both sides: 17x = -2193", "Divide both sides by 17: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 91880 = 19x + 89687", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 91880, \"c\": 19, \"e\": 89687, \"x\": -129}", "seed": "5721595601183360459", "semantic_fingerprint": "sha256:0bd78f565fc928efda771ebe18692d18f39a9a52468f116bf09b72345af80b00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003937", "prompt": "Find x: 37(x - 3971) = 36(x + 5233) + 50268", "solution_steps": ["Expand: 37x - 146927 = 36(x + 5233) + 50268", "Expand: 37x - 146927 = 36x + 188388 + 50268", "Combine constants: 37x - 146927 = 36x + 238656", "Subtract 36x from both sides: x - 146927 = 238656", "Add 146927 to both sides: x = 385583"], "final_answer": "385583", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x - 3971) = 36(x + 5233) + 50268", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 3971, \"c\": 36, \"d\": 5233, \"e\": 50268}", "seed": "17839503452741197621", "semantic_fingerprint": "sha256:198ab44091523e742af4b56c36fb8344606965d6ecbfcf5e0881a504db885459", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003938", "prompt": "Solve the equation -20x = 39x for x.", "solution_steps": ["Subtract 39x from both sides: -59x = 0", "Divide both sides by -59: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = 39x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 39}", "seed": "5816192055466214096", "semantic_fingerprint": "sha256:4c27b681141a20d02fb43d8863fa51b2dba1da6aa140c517ee50a9adb52e0414", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003939", "prompt": "What is 29710 + 41822?", "solution_steps": ["Add: 29710 + 41822 = 71532"], "final_answer": "71532", "answer_type": "integer", "kind": "expression", "math_text": "29710 + 41822", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 29710, \"b\": 41822}", "seed": "7745918679864253786", "semantic_fingerprint": "sha256:c594ffab06e12fa577130e1ee4a6f78d87ceb41a4d2f2d305d7bcece6eee07ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003940", "prompt": "Compute: -50596 / 87583", "solution_steps": ["Divide: -50596 / 87583 = -50596/87583"], "final_answer": "-50596/87583", "answer_type": "rational", "kind": "expression", "math_text": "-50596 / 87583", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50596, \"b\": 87583}", "seed": "15662559846106924523", "semantic_fingerprint": "sha256:6de8ced829b600dd02c1b0efc29bdb4a9c4ca683366184c09226c311a497b4f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003941", "prompt": "Calculate: -1963 * (-88233) / (-3597) - (-33602 + (-1268 - (-8488)))", "solution_steps": ["Multiply: -1963 * (-88233) = 173201379", "Divide: 173201379 / (-3597) = -57733793/1199", "Subtract: -1268 - (-8488) = 7220", "Add: -33602 + 7220 = -26382", "Subtract: -57733793/1199 - (-26382) = -26101775/1199"], "final_answer": "-26101775/1199", "answer_type": "rational", "kind": "expression", "math_text": "-1963 * (-88233) / (-3597) - (-33602 + (-1268 - (-8488)))", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1963, \"b\": -88233, \"c\": -3597, \"d\": -33602, \"e\": -1268, \"f\": -8488}", "seed": "2741542377488327139", "semantic_fingerprint": "sha256:a83057a9d5f35a731acf09fcb5288dd7ef05fee85eba627b3aa2e96fd9e7254e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003942", "prompt": "Solve the equation x - 1938 = 30(x + 2757) + 94338 for x.", "solution_steps": ["Expand: x - 1938 = 30x + 82710 + 94338", "Combine constants: x - 1938 = 30x + 177048", "Subtract 30x from both sides: -29x - 1938 = 177048", "Add 1938 to both sides: -29x = 178986", "Divide both sides by -29: x = -178986/29"], "final_answer": "-178986/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1938 = 30(x + 2757) + 94338", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1938, \"b\": 30, \"c\": 2757, \"d\": 94338}", "seed": "10647006448973826309", "semantic_fingerprint": "sha256:e8da1a7f01aca42a5b549e0de2fecb59f552407b64cb860733f3cd8c88fc6953", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003943", "prompt": "Calculate: 8851 / (-1529)", "solution_steps": ["Divide: 8851 / (-1529) = -8851/1529"], "final_answer": "-8851/1529", "answer_type": "rational", "kind": "expression", "math_text": "8851 / (-1529)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8851, \"b\": -1529}", "seed": "137409610720963247", "semantic_fingerprint": "sha256:a06adec5313c0e7735dd33cf70de2fc97a95f3b2a3d45193d7bd42cc273c24fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003944", "prompt": "Calculate: (1737 - 9070) * 20116", "solution_steps": ["Subtract: 1737 - 9070 = -7333", "Multiply: -7333 * 20116 = -147510628"], "final_answer": "-147510628", "answer_type": "integer", "kind": "expression", "math_text": "(1737 - 9070) * 20116", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1737, \"b\": 9070, \"c\": 20116}", "seed": "14774637892848621666", "semantic_fingerprint": "sha256:27d1db63bd4540b7fffd8fbf24bb1ac694ab2044aa8e5e26df4c1742211dd392", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003945", "prompt": "Find x: x + 2754 = -29x", "solution_steps": ["Add 29x to both sides: 30x + 2754 = 0", "Subtract 2754 from both sides: 30x = -2754", "Divide both sides by 30: x = -459/5"], "final_answer": "-459/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2754 = -29x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2754, \"b\": -29}", "seed": "1609694646531444334", "semantic_fingerprint": "sha256:c8d0d894400bc07cab8bdb7bce05edf8d2de9770f85bfdc9a3ad4226ae3a5f79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003946", "prompt": "Compute: -7071 * 13602", "solution_steps": ["Multiply: -7071 * 13602 = -96179742"], "final_answer": "-96179742", "answer_type": "integer", "kind": "expression", "math_text": "-7071 * 13602", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7071, \"b\": 13602}", "seed": "785776123185980854", "semantic_fingerprint": "sha256:48be7e3be3c53fc612c90a7d8e9bcc46792307848c8eccb6bfcba905c8df42e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003947", "prompt": "Solve the equation 19x = 23(x - 8419) for x.", "solution_steps": ["Expand: 19x = 23x - 193637", "Subtract 23x from both sides: -4x = -193637", "Divide both sides by -4: x = 193637/4"], "final_answer": "193637/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = 23(x - 8419)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 23, \"c\": 8419}", "seed": "3123739964514868589", "semantic_fingerprint": "sha256:b24130adfa1b7e1c827c857a84e59b020f72bcd29f41bd19e6ba29e8e0c5fb8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003948", "prompt": "Compute: (-19061 + (-87124)) * 39859", "solution_steps": ["Add: -19061 + (-87124) = -106185", "Multiply: -106185 * 39859 = -4232427915"], "final_answer": "-4232427915", "answer_type": "integer", "kind": "expression", "math_text": "(-19061 + (-87124)) * 39859", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19061, \"b\": -87124, \"c\": 39859}", "seed": "4177066046188988403", "semantic_fingerprint": "sha256:6842ab9f734a13d7b025b1e553c09f92d94f93b1939fba423f3146fb1c3fe520", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003949", "prompt": "Solve for x: 15(x - 9792) = x", "solution_steps": ["Expand: 15x - 146880 = x", "Subtract x from both sides: 14x - 146880 = 0", "Add 146880 to both sides: 14x = 146880", "Divide both sides by 14: x = 73440/7"], "final_answer": "73440/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 9792) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 9792}", "seed": "15534676732524979957", "semantic_fingerprint": "sha256:90eeff87c6009f0f97bc743751f2d2dfdffdeceaa5eae8fb7aaf45f0940ec247", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003950", "prompt": "Evaluate: 5581 + (-7181 - (-7940))", "solution_steps": ["Subtract: -7181 - (-7940) = 759", "Add: 5581 + 759 = 6340"], "final_answer": "6340", "answer_type": "integer", "kind": "expression", "math_text": "5581 + (-7181 - (-7940))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5581, \"b\": -7181, \"c\": -7940}", "seed": "12189747799369099149", "semantic_fingerprint": "sha256:4e6d4d5bab9d8b97a962217dee16d1ee6da36caaaf7405472588aa5262c1bd50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003951", "prompt": "Compute: 7724 + (-55242) + (-7326)", "solution_steps": ["Add: 7724 + (-55242) = -47518", "Add: -47518 + (-7326) = -54844"], "final_answer": "-54844", "answer_type": "integer", "kind": "expression", "math_text": "7724 + (-55242) + (-7326)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7724, \"b\": -55242, \"c\": -7326}", "seed": "13950154114343336166", "semantic_fingerprint": "sha256:2b8960160cdda9ffac86df52dd1c8c09076255298918945684d274b9154519ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003952", "prompt": "Calculate: -67976 / (-5560 / (-20794))", "solution_steps": ["Divide: -5560 / (-20794) = 2780/10397", "Divide: -67976 / (2780/10397) = -176686618/695"], "final_answer": "-176686618/695", "answer_type": "rational", "kind": "expression", "math_text": "-67976 / (-5560 / (-20794))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67976, \"b\": -5560, \"c\": -20794}", "seed": "13221945503412126737", "semantic_fingerprint": "sha256:7acbb1625e1678e4209c9adcd21e1a51acb2ee613651e3cefe870edaa0d6f5d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003953", "prompt": "Find x: 40(x + 5627) = 31(x + 72500) + 9414", "solution_steps": ["Expand: 40x + 225080 = 31(x + 72500) + 9414", "Expand: 40x + 225080 = 31x + 2247500 + 9414", "Combine constants: 40x + 225080 = 31x + 2256914", "Subtract 31x from both sides: 9x + 225080 = 2256914", "Subtract 225080 from both sides: 9x = 2031834", "Divide both sides by 9: x = 677278/3"], "final_answer": "677278/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 5627) = 31(x + 72500) + 9414", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5627, \"c\": 31, \"d\": 72500, \"e\": 9414}", "seed": "16464607115659476975", "semantic_fingerprint": "sha256:35c0c561242a510317fa58c855b6040e715080fe9eff2952597e940ba2d04479", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003954", "prompt": "Evaluate: (-9015 - (-6404)) * (-75411 - 4834)", "solution_steps": ["Subtract: -9015 - (-6404) = -2611", "Subtract: -75411 - 4834 = -80245", "Multiply: -2611 * (-80245) = 209519695"], "final_answer": "209519695", "answer_type": "integer", "kind": "expression", "math_text": "(-9015 - (-6404)) * (-75411 - 4834)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9015, \"b\": -6404, \"c\": -75411, \"d\": 4834}", "seed": "12896977605049051456", "semantic_fingerprint": "sha256:49c05ae3990c81611d051efde2428b86010694f20ef80115ca0e4de0ba8da1c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003955", "prompt": "Compute: 7575 - (8214 - (-31759))", "solution_steps": ["Subtract: 8214 - (-31759) = 39973", "Subtract: 7575 - 39973 = -32398"], "final_answer": "-32398", "answer_type": "integer", "kind": "expression", "math_text": "7575 - (8214 - (-31759))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7575, \"b\": 8214, \"c\": -31759}", "seed": "18221872844885986695", "semantic_fingerprint": "sha256:8b53e6f7ac7fca6aa6cc1cf985e0db992ece69c4a78ffe4831879fc5a01100ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003956", "prompt": "Calculate: -18730 / (-29543 / (-9487))", "solution_steps": ["Divide: -29543 / (-9487) = 29543/9487", "Divide: -18730 / (29543/9487) = -177691510/29543"], "final_answer": "-177691510/29543", "answer_type": "rational", "kind": "expression", "math_text": "-18730 / (-29543 / (-9487))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18730, \"b\": -29543, \"c\": -9487}", "seed": "13371886296208394831", "semantic_fingerprint": "sha256:1d629db0d6c3fc8ca58f0d661c1994e18459092ca4339ec90ac1acd64b380155", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003957", "prompt": "Find x: -29x - 79310 = -24x + 2066", "solution_steps": ["Add 24x to both sides: -5x - 79310 = 2066", "Add 79310 to both sides: -5x = 81376", "Divide both sides by -5: x = -81376/5"], "final_answer": "-81376/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29x - 79310 = -24x + 2066", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 79310, \"c\": -24, \"d\": 2066}", "seed": "4150980826491170733", "semantic_fingerprint": "sha256:a584687614f78d0a5b5c7e28a194efa32856462106553133971fd7389e6095f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003958", "prompt": "Solve the equation 32x + 5345 = 20(x + 4855) - 92883 for x.", "solution_steps": ["Expand: 32x + 5345 = 20x + 97100 - 92883", "Combine constants: 32x + 5345 = 20x + 4217", "Subtract 20x from both sides: 12x + 5345 = 4217", "Subtract 5345 from both sides: 12x = -1128", "Divide both sides by 12: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 5345 = 20(x + 4855) - 92883", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 5345, \"c\": 20, \"d\": 4855, \"f\": -92883, \"x\": -94}", "seed": "11902222570787720522", "semantic_fingerprint": "sha256:bf8b18f8ff0bf1cfb1c1ad7166e5bdad9f5457e6ea3828165e57fe03b523db58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003959", "prompt": "Evaluate: -1530 * (-75403)", "solution_steps": ["Multiply: -1530 * (-75403) = 115366590"], "final_answer": "115366590", "answer_type": "integer", "kind": "expression", "math_text": "-1530 * (-75403)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1530, \"b\": -75403}", "seed": "2475540418770290846", "semantic_fingerprint": "sha256:2f12f395eefeec0818b48d85feee58e25adc797eaf61d7cc523759743e256761", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003960", "prompt": "Calculate: -9657 - 37429", "solution_steps": ["Subtract: -9657 - 37429 = -47086"], "final_answer": "-47086", "answer_type": "integer", "kind": "expression", "math_text": "-9657 - 37429", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9657, \"b\": 37429}", "seed": "5260302060269289717", "semantic_fingerprint": "sha256:4ce9a79ed04c7ddb1f3827acfdde1b6a53f9c31673cb6f29a5abb9ab931719f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003961", "prompt": "What value of x satisfies x + 13683 = 13x?", "solution_steps": ["Subtract 13x from both sides: -12x + 13683 = 0", "Subtract 13683 from both sides: -12x = -13683", "Divide both sides by -12: x = 4561/4"], "final_answer": "4561/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 13683 = 13x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13683, \"b\": 13}", "seed": "117068883629446843", "semantic_fingerprint": "sha256:e5af524ddda66d92b7d36b517cd75651a89c3e5eb895383875ddd0fa5e8a73ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003962", "prompt": "What is -1361 - (-4015) + (-5720)?", "solution_steps": ["Subtract: -1361 - (-4015) = 2654", "Add: 2654 + (-5720) = -3066"], "final_answer": "-3066", "answer_type": "integer", "kind": "expression", "math_text": "-1361 - (-4015) + (-5720)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1361, \"b\": -4015, \"c\": -5720}", "seed": "9465539464712103704", "semantic_fingerprint": "sha256:69bc081a42c7be67ac1ccac3b2d3f04acebde66b8efe03b15d4e7a8b532a18ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003963", "prompt": "What is 99048 + (-23300) / 9946?", "solution_steps": ["Divide: -23300 / 9946 = -11650/4973", "Add: 99048 + (-11650/4973) = 492554054/4973"], "final_answer": "492554054/4973", "answer_type": "rational", "kind": "expression", "math_text": "99048 + (-23300) / 9946", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99048, \"b\": -23300, \"c\": 9946}", "seed": "231996906954831844", "semantic_fingerprint": "sha256:0f0e502dd572bf047589e69586c7a60a7076b95a1cc0f19134e43fde1d025e8d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003964", "prompt": "What is (10849 - (-3701 + 2276)) / (-7763)?", "solution_steps": ["Add: -3701 + 2276 = -1425", "Subtract: 10849 - (-1425) = 12274", "Divide: 12274 / (-7763) = -12274/7763"], "final_answer": "-12274/7763", "answer_type": "rational", "kind": "expression", "math_text": "(10849 - (-3701 + 2276)) / (-7763)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10849, \"b\": -3701, \"c\": 2276, \"d\": -7763}", "seed": "15238118881625782918", "semantic_fingerprint": "sha256:c6e52eb6fc3678566171afc408ae80ed82ad735bdf7cd5b381ae57a3a14e4baa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003965", "prompt": "Calculate: -6719 - (-7348)", "solution_steps": ["Subtract: -6719 - (-7348) = 629"], "final_answer": "629", "answer_type": "integer", "kind": "expression", "math_text": "-6719 - (-7348)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6719, \"b\": -7348}", "seed": "18207560809052933866", "semantic_fingerprint": "sha256:993b1830a2cda1420e6670c3a69dea6052d221d3e559e850127ca4e942ed6af6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003966", "prompt": "Compute: 8443 / (-7983)", "solution_steps": ["Divide: 8443 / (-7983) = -8443/7983"], "final_answer": "-8443/7983", "answer_type": "rational", "kind": "expression", "math_text": "8443 / (-7983)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8443, \"b\": -7983}", "seed": "7905935440531235739", "semantic_fingerprint": "sha256:4727af85e1232644a88b3743eb8562a7955c19453ded3874fca01698288847a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003967", "prompt": "Evaluate: (11658 + 8615) * (-8107 / (-9360)) - (-6213)", "solution_steps": ["Add: 11658 + 8615 = 20273", "Divide: -8107 / (-9360) = 8107/9360", "Multiply: 20273 * (8107/9360) = 164353211/9360", "Subtract: 164353211/9360 - (-6213) = 222506891/9360"], "final_answer": "222506891/9360", "answer_type": "rational", "kind": "expression", "math_text": "(11658 + 8615) * (-8107 / (-9360)) - (-6213)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 11658, \"b\": 8615, \"c\": -8107, \"d\": -9360, \"e\": -6213}", "seed": "6840079593694215782", "semantic_fingerprint": "sha256:d62065817dbaca1f3a3fa2967d2c5806d728f633b34c302cda2ba5d23666ba4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003968", "prompt": "What is -1500 + (-31518) / (7426 + 3427) * (35758 - (-13164))?", "solution_steps": ["Add: 7426 + 3427 = 10853", "Divide: -31518 / 10853 = -31518/10853", "Subtract: 35758 - (-13164) = 48922", "Multiply: (-31518/10853) * 48922 = -1541923596/10853", "Add: -1500 + (-1541923596/10853) = -1558203096/10853"], "final_answer": "-1558203096/10853", "answer_type": "rational", "kind": "expression", "math_text": "-1500 + (-31518) / (7426 + 3427) * (35758 - (-13164))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1500, \"b\": -31518, \"c\": 7426, \"d\": 3427, \"e\": 35758, \"f\": -13164}", "seed": "17813294701120731375", "semantic_fingerprint": "sha256:aa308512e3252c38260e4221a6f69797946677eea6b120afd3057a0320b88d4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003969", "prompt": "Solve the equation -28(x + 40616) = 28x for x.", "solution_steps": ["Expand: -28x - 1137248 = 28x", "Subtract 28x from both sides: -56x - 1137248 = 0", "Add 1137248 to both sides: -56x = 1137248", "Divide both sides by -56: x = -20308"], "final_answer": "-20308", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28(x + 40616) = 28x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 40616, \"c\": 28}", "seed": "476725068676913656", "semantic_fingerprint": "sha256:6ab318b231cda867c66207c03e71d6966e9010fe9bb031c3afbc85385714bca4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003970", "prompt": "What is -6891 * (-26927 - (-3151)) - (-82351 + 23483) + 1880?", "solution_steps": ["Subtract: -26927 - (-3151) = -23776", "Multiply: -6891 * (-23776) = 163840416", "Add: -82351 + 23483 = -58868", "Subtract: 163840416 - (-58868) = 163899284", "Add: 163899284 + 1880 = 163901164"], "final_answer": "163901164", "answer_type": "integer", "kind": "expression", "math_text": "-6891 * (-26927 - (-3151)) - (-82351 + 23483) + 1880", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6891, \"b\": -26927, \"c\": -3151, \"d\": -82351, \"e\": 23483, \"f\": 1880}", "seed": "18208292359808634196", "semantic_fingerprint": "sha256:977c853901c8579e9148624c8a810a21ee3528589687481b31df14a3ab288dea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003971", "prompt": "Evaluate: (-94554 + (-8335)) * (7257 / (-76508))", "solution_steps": ["Add: -94554 + (-8335) = -102889", "Divide: 7257 / (-76508) = -7257/76508", "Multiply: -102889 * (-7257/76508) = 24085983/2468"], "final_answer": "24085983/2468", "answer_type": "rational", "kind": "expression", "math_text": "(-94554 + (-8335)) * (7257 / (-76508))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94554, \"b\": -8335, \"c\": 7257, \"d\": -76508}", "seed": "15082194718944448364", "semantic_fingerprint": "sha256:6ebcad562f2a38397c8eece67a9a5398eb6a33eea4bb330ecb062b1dc91729d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003972", "prompt": "Calculate: 8971 / (-6764 / (3757 - (-4127)))", "solution_steps": ["Subtract: 3757 - (-4127) = 7884", "Divide: -6764 / 7884 = -1691/1971", "Divide: 8971 / (-1691/1971) = -17681841/1691"], "final_answer": "-17681841/1691", "answer_type": "rational", "kind": "expression", "math_text": "8971 / (-6764 / (3757 - (-4127)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8971, \"b\": -6764, \"c\": 3757, \"d\": -4127}", "seed": "8498237805433959592", "semantic_fingerprint": "sha256:19aab490bf8455a493dc005e66239b413a0fa8d7a9aa861e9bfb90377e8f1938", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003973", "prompt": "Find x: x + 97966 = 14(x + 7122)", "solution_steps": ["Expand: x + 97966 = 14x + 99708", "Subtract 14x from both sides: -13x + 97966 = 99708", "Subtract 97966 from both sides: -13x = 1742", "Divide both sides by -13: x = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 97966 = 14(x + 7122)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7122, \"d\": 97966, \"x\": -134}", "seed": "1247114550364181119", "semantic_fingerprint": "sha256:a5db98dfebbce168232babdcc5e18f4db4c8f5eda5ce6f86f3dd33875bba4dd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003974", "prompt": "Solve the equation 35x + 24469 = -23(x - 3173) + 11779 for x.", "solution_steps": ["Expand: 35x + 24469 = -23x + 72979 + 11779", "Combine constants: 35x + 24469 = -23x + 84758", "Add 23x to both sides: 58x + 24469 = 84758", "Subtract 24469 from both sides: 58x = 60289", "Divide both sides by 58: x = 60289/58"], "final_answer": "60289/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x + 24469 = -23(x - 3173) + 11779", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 24469, \"c\": -23, \"d\": 3173, \"e\": 11779}", "seed": "4966122662192506040", "semantic_fingerprint": "sha256:93e53390bb7df230a77329e369138d8d673f4f664f1942eb231fc17d2e8f68d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003975", "prompt": "What is -2943 * 7568 * 2695 + 2276?", "solution_steps": ["Multiply: -2943 * 7568 = -22272624", "Multiply: -22272624 * 2695 = -60024721680", "Add: -60024721680 + 2276 = -60024719404"], "final_answer": "-60024719404", "answer_type": "integer", "kind": "expression", "math_text": "-2943 * 7568 * 2695 + 2276", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2943, \"b\": 7568, \"c\": 2695, \"d\": 2276}", "seed": "3738777559036470973", "semantic_fingerprint": "sha256:d0f9010bc245f36b33f5bf0a6e1476c9d9c41be3f4f9b747123f73cda9499e95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003976", "prompt": "Solve for x: -32x + 1924 = x - 3291", "solution_steps": ["Subtract x from both sides: -33x + 1924 = -3291", "Subtract 1924 from both sides: -33x = -5215", "Divide both sides by -33: x = 5215/33"], "final_answer": "5215/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x + 1924 = x - 3291", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 1924, \"c\": 3291}", "seed": "973174526122479865", "semantic_fingerprint": "sha256:534f169e8ee4262fe15648cc9e5a380deef838bbea7312f08ef2b15de3c65d4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003977", "prompt": "Solve the equation 38(x + 5189) - 79882 = 13(x - 9014) + 8869 for x.", "solution_steps": ["Expand: 38x + 197182 - 79882 = 13(x - 9014) + 8869", "Expand: 38x + 197182 - 79882 = 13x - 117182 + 8869", "Combine constants: 38x + 117300 = 13x - 117182 + 8869", "Combine constants: 38x + 117300 = 13x - 108313", "Subtract 13x from both sides: 25x + 117300 = -108313", "Subtract 117300 from both sides: 25x = -225613", "Divide both sides by 25: x = -225613/25"], "final_answer": "-225613/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 5189) - 79882 = 13(x - 9014) + 8869", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 5189, \"c\": 79882, \"d\": 13, \"e\": 9014, \"f\": 8869}", "seed": "1621191798368303431", "semantic_fingerprint": "sha256:9390715550e8df64590896b6237874636bc1fbc933d0525f77ffbd2b253d472e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003978", "prompt": "Find x: x + 7091 = 27x + 5739", "solution_steps": ["Subtract 27x from both sides: -26x + 7091 = 5739", "Subtract 7091 from both sides: -26x = -1352", "Divide both sides by -26: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7091 = 27x + 5739", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7091, \"b\": 27, \"d\": 5739, \"x\": 52}", "seed": "18348280045752660567", "semantic_fingerprint": "sha256:952d1631936d069b1aeaef0d401e3db421a9c9a0326de4d645707ebe18e9988e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003979", "prompt": "Compute: -83102 - (-77605) * (-5402 - 4019)", "solution_steps": ["Subtract: -5402 - 4019 = -9421", "Multiply: -77605 * (-9421) = 731116705", "Subtract: -83102 - 731116705 = -731199807"], "final_answer": "-731199807", "answer_type": "integer", "kind": "expression", "math_text": "-83102 - (-77605) * (-5402 - 4019)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83102, \"b\": -77605, \"c\": -5402, \"d\": 4019}", "seed": "15539371826210616051", "semantic_fingerprint": "sha256:e4c20f574f0c40217a34c4e9e4140beec3f33098fddadd2053f738b419c6ce76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003980", "prompt": "What value of x satisfies -19(x - 7325) = 30(x - 8352) + 4459?", "solution_steps": ["Expand: -19x + 139175 = 30(x - 8352) + 4459", "Expand: -19x + 139175 = 30x - 250560 + 4459", "Combine constants: -19x + 139175 = 30x - 246101", "Subtract 30x from both sides: -49x + 139175 = -246101", "Subtract 139175 from both sides: -49x = -385276", "Divide both sides by -49: x = 385276/49"], "final_answer": "385276/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 7325) = 30(x - 8352) + 4459", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 7325, \"c\": 30, \"d\": 8352, \"e\": 4459}", "seed": "2998601828581475227", "semantic_fingerprint": "sha256:479b635b6873869c4fbe7c9256e006893ee60f00eef4834eb38d6641ae39ecac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003981", "prompt": "Find x: -33(x - 4516) = -16x", "solution_steps": ["Expand: -33x + 149028 = -16x", "Add 16x to both sides: -17x + 149028 = 0", "Subtract 149028 from both sides: -17x = -149028", "Divide both sides by -17: x = 149028/17"], "final_answer": "149028/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 4516) = -16x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 4516, \"c\": -16}", "seed": "13852756304263784277", "semantic_fingerprint": "sha256:5037822daa87ed23cfcd52dbc95a408e5ca3bf9d9f5ea4b3eb99aaf5b10184d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003982", "prompt": "Solve the equation x = 19x + 2196 for x.", "solution_steps": ["Subtract 19x from both sides: -18x = 2196", "Divide both sides by -18: x = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 19x + 2196", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 2196, \"x\": -122}", "seed": "5280686872730728623", "semantic_fingerprint": "sha256:1e02be87710db9bd1f6ceeb8bbf858f23833aa4cf095ee8f1b4c8f4c9d52dca1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003983", "prompt": "What value of x satisfies x = 40x - 3393?", "solution_steps": ["Subtract 40x from both sides: -39x = -3393", "Divide both sides by -39: x = 87"], "final_answer": "87", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 40x - 3393", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -3393, \"x\": 87}", "seed": "10939984833719989678", "semantic_fingerprint": "sha256:49cb0819080affc3f22848cb440115855c4a04e86a3315c760e54ab0583d431e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003984", "prompt": "Calculate: -3831 + 48394 - (-55300) / (-65476)", "solution_steps": ["Add: -3831 + 48394 = 44563", "Divide: -55300 / (-65476) = 13825/16369", "Subtract: 44563 - 13825/16369 = 729437922/16369"], "final_answer": "729437922/16369", "answer_type": "rational", "kind": "expression", "math_text": "-3831 + 48394 - (-55300) / (-65476)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3831, \"b\": 48394, \"c\": -55300, \"d\": -65476}", "seed": "9007922862694819680", "semantic_fingerprint": "sha256:e5962da592c8bd69d213c9ae19148aa6a4a10dbab7b490f8796d7129cc687ed2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003985", "prompt": "What is -92320 - (-96276) + (4611 + 2081) + (-4519)?", "solution_steps": ["Subtract: -92320 - (-96276) = 3956", "Add: 4611 + 2081 = 6692", "Add: 3956 + 6692 = 10648", "Add: 10648 + (-4519) = 6129"], "final_answer": "6129", "answer_type": "integer", "kind": "expression", "math_text": "-92320 - (-96276) + (4611 + 2081) + (-4519)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -92320, \"b\": -96276, \"c\": 4611, \"d\": 2081, \"e\": -4519}", "seed": "904101332223732108", "semantic_fingerprint": "sha256:2312c6c53becd09378e540a95f9be771be3fdd6e21fc0be5c5554e4b2e80f901", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003986", "prompt": "Evaluate: -7098 - (-5147)", "solution_steps": ["Subtract: -7098 - (-5147) = -1951"], "final_answer": "-1951", "answer_type": "integer", "kind": "expression", "math_text": "-7098 - (-5147)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7098, \"b\": -5147}", "seed": "1878240469858327826", "semantic_fingerprint": "sha256:7dcd17dc2e71dc08a81625277908e989cea328c1115cfdc9bf6b8574293785fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003987", "prompt": "Calculate: (-6057 - (-18857)) / (-41138) + (-10717 - (-69596))", "solution_steps": ["Subtract: -6057 - (-18857) = 12800", "Divide: 12800 / (-41138) = -6400/20569", "Subtract: -10717 - (-69596) = 58879", "Add: -6400/20569 + 58879 = 1211075751/20569"], "final_answer": "1211075751/20569", "answer_type": "rational", "kind": "expression", "math_text": "(-6057 - (-18857)) / (-41138) + (-10717 - (-69596))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6057, \"b\": -18857, \"c\": -41138, \"d\": -10717, \"e\": -69596}", "seed": "10524094045990615867", "semantic_fingerprint": "sha256:69cebd949fc0ad07e764557f463d493b94a58b1fde596ad29114e9e2be456e8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003988", "prompt": "Evaluate: 4699 - (-6006) / 3258 * (-88659) + (-3283)", "solution_steps": ["Divide: -6006 / 3258 = -1001/543", "Multiply: (-1001/543) * (-88659) = 29582553/181", "Subtract: 4699 - 29582553/181 = -28732034/181", "Add: -28732034/181 + (-3283) = -29326257/181"], "final_answer": "-29326257/181", "answer_type": "rational", "kind": "expression", "math_text": "4699 - (-6006) / 3258 * (-88659) + (-3283)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4699, \"b\": -6006, \"c\": 3258, \"d\": -88659, \"e\": -3283}", "seed": "12220163698034406569", "semantic_fingerprint": "sha256:3094337c5c74da476b7d9fdf4b673f29151e6f0e7895fa274d50cfa7d222d473", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003989", "prompt": "Find x: -38(x - 65575) = x", "solution_steps": ["Expand: -38x + 2491850 = x", "Subtract x from both sides: -39x + 2491850 = 0", "Subtract 2491850 from both sides: -39x = -2491850", "Divide both sides by -39: x = 2491850/39"], "final_answer": "2491850/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x - 65575) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 65575}", "seed": "10118215485274512615", "semantic_fingerprint": "sha256:18c6c42201c088c6826a2a562ead07954ef7992ab657cad1588dea1710667803", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003990", "prompt": "Calculate: (-78546 - (-6374 - 71101)) / (98423 - 1966)", "solution_steps": ["Subtract: -6374 - 71101 = -77475", "Subtract: -78546 - (-77475) = -1071", "Subtract: 98423 - 1966 = 96457", "Divide: -1071 / 96457 = -1071/96457"], "final_answer": "-1071/96457", "answer_type": "rational", "kind": "expression", "math_text": "(-78546 - (-6374 - 71101)) / (98423 - 1966)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -78546, \"b\": -6374, \"c\": 71101, \"d\": 98423, \"e\": 1966}", "seed": "10602929731121141608", "semantic_fingerprint": "sha256:1925de731e2be07a773976b210b3b86994a954ac286785eb20698195dc0f12e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003991", "prompt": "Compute: 7820 + (-75274) / (-1361)", "solution_steps": ["Divide: -75274 / (-1361) = 75274/1361", "Add: 7820 + 75274/1361 = 10718294/1361"], "final_answer": "10718294/1361", "answer_type": "rational", "kind": "expression", "math_text": "7820 + (-75274) / (-1361)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7820, \"b\": -75274, \"c\": -1361}", "seed": "3337738600940730924", "semantic_fingerprint": "sha256:c42d2f8407d1ac7e03c5ca779b0f8b169d2332ae7296c13bc1cb5dde6bdde106", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003992", "prompt": "Compute: 23126 * 3138 * 6166 + (-30653)", "solution_steps": ["Multiply: 23126 * 3138 = 72569388", "Multiply: 72569388 * 6166 = 447462846408", "Add: 447462846408 + (-30653) = 447462815755"], "final_answer": "447462815755", "answer_type": "integer", "kind": "expression", "math_text": "23126 * 3138 * 6166 + (-30653)", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23126, \"b\": 3138, \"c\": 6166, \"d\": -30653}", "seed": "13295110049706399322", "semantic_fingerprint": "sha256:2791ec7e82fbecd17f5fc62281ca2a0d7eb9dad77683b9bf4c1f8e67f0afb5cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003993", "prompt": "Compute: -8936 + 25121", "solution_steps": ["Add: -8936 + 25121 = 16185"], "final_answer": "16185", "answer_type": "integer", "kind": "expression", "math_text": "-8936 + 25121", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8936, \"b\": 25121}", "seed": "8389572115573013715", "semantic_fingerprint": "sha256:e992aea886f2a4e7015acf55ad165525c417b59e738e235ab32902bdd3df4a23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003994", "prompt": "Solve for x: 13(x - 4709) = 22x", "solution_steps": ["Expand: 13x - 61217 = 22x", "Subtract 22x from both sides: -9x - 61217 = 0", "Add 61217 to both sides: -9x = 61217", "Divide both sides by -9: x = -61217/9"], "final_answer": "-61217/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 4709) = 22x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4709, \"c\": 22}", "seed": "3724262951393988684", "semantic_fingerprint": "sha256:29d66576383fea655db398bbf08e646cab94bbdb2cf3acc386c354acd67f9416", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003995", "prompt": "Find x: -25(x + 95287) - 1815 = 28(x - 7863)", "solution_steps": ["Expand: -25x - 2382175 - 1815 = 28(x - 7863)", "Expand: -25x - 2382175 - 1815 = 28x - 220164", "Combine constants: -25x - 2383990 = 28x - 220164", "Subtract 28x from both sides: -53x - 2383990 = -220164", "Add 2383990 to both sides: -53x = 2163826", "Divide both sides by -53: x = -2163826/53"], "final_answer": "-2163826/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 95287) - 1815 = 28(x - 7863)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 95287, \"c\": 1815, \"d\": 28, \"e\": 7863}", "seed": "8950837889575804982", "semantic_fingerprint": "sha256:89297b3745a1624bd256ea9642d159c07c7b89fccdd484320ec07fde84299b15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003996", "prompt": "Solve for x: -23(x + 7465) = x", "solution_steps": ["Expand: -23x - 171695 = x", "Subtract x from both sides: -24x - 171695 = 0", "Add 171695 to both sides: -24x = 171695", "Divide both sides by -24: x = -171695/24"], "final_answer": "-171695/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 7465) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 7465}", "seed": "7068191999061446594", "semantic_fingerprint": "sha256:115011fc51e874841db82b2817de69f2df07221af5e21663e258cde0d40aa9b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003997", "prompt": "Evaluate: 34766 * (-21457)", "solution_steps": ["Multiply: 34766 * (-21457) = -745974062"], "final_answer": "-745974062", "answer_type": "integer", "kind": "expression", "math_text": "34766 * (-21457)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34766, \"b\": -21457}", "seed": "13374368930628933089", "semantic_fingerprint": "sha256:2c2b91d71a2ccedf67330a74393856a776ab01ddb4b3ac962fc020630b673093", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003998", "prompt": "What is 90615 + (-6779 * 8643 + 1048)?", "solution_steps": ["Multiply: -6779 * 8643 = -58590897", "Add: -58590897 + 1048 = -58589849", "Add: 90615 + (-58589849) = -58499234"], "final_answer": "-58499234", "answer_type": "integer", "kind": "expression", "math_text": "90615 + (-6779 * 8643 + 1048)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 90615, \"b\": -6779, \"c\": 8643, \"d\": 1048}", "seed": "16800140841480295756", "semantic_fingerprint": "sha256:2403b6d3b8aad790381738c2bc7792a5d8f5a3944d2239d9bfc99acae8480845", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00003999", "prompt": "Compute: -54798 + 9710 * (-1304) / 5254", "solution_steps": ["Multiply: 9710 * (-1304) = -12661840", "Divide: -12661840 / 5254 = -6330920/2627", "Add: -54798 + (-6330920/2627) = -150285266/2627"], "final_answer": "-150285266/2627", "answer_type": "rational", "kind": "expression", "math_text": "-54798 + 9710 * (-1304) / 5254", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -54798, \"b\": 9710, \"c\": -1304, \"d\": 5254}", "seed": "1079306428205844464", "semantic_fingerprint": "sha256:3fb79e8842bd4b1ec16f47508dbfe6f469ff753b90f6fffa1fb9e5c0dc6db8d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004000", "prompt": "What is -91847 * 79537?", "solution_steps": ["Multiply: -91847 * 79537 = -7305234839"], "final_answer": "-7305234839", "answer_type": "integer", "kind": "expression", "math_text": "-91847 * 79537", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91847, \"b\": 79537}", "seed": "4319263283900770763", "semantic_fingerprint": "sha256:5b69232df7308dadf8d3964a89bc2113f4f68221a07fb2f67fc35db1f68715c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004001", "prompt": "Calculate: -44853 / (-95279 / 69472)", "solution_steps": ["Divide: -95279 / 69472 = -95279/69472", "Divide: -44853 / (-95279/69472) = 3116027616/95279"], "final_answer": "3116027616/95279", "answer_type": "rational", "kind": "expression", "math_text": "-44853 / (-95279 / 69472)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44853, \"b\": -95279, \"c\": 69472}", "seed": "796169750775571659", "semantic_fingerprint": "sha256:42c48cf7624ed1f9be1d008ce9a348e14ab3cc853fdd6f06dbf55cd7b2ec0298", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004002", "prompt": "What is (4612 - (-1107 + (-8233)) - 2030) * 90244?", "solution_steps": ["Add: -1107 + (-8233) = -9340", "Subtract: 4612 - (-9340) = 13952", "Subtract: 13952 - 2030 = 11922", "Multiply: 11922 * 90244 = 1075888968"], "final_answer": "1075888968", "answer_type": "integer", "kind": "expression", "math_text": "(4612 - (-1107 + (-8233)) - 2030) * 90244", "variable": null, "family": "expression_4op", "shape": "(* (- (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4612, \"b\": -1107, \"c\": -8233, \"d\": 2030, \"e\": 90244}", "seed": "3708273397433571767", "semantic_fingerprint": "sha256:5a07a31a93df03c91f90b7508ce79cd2783080f6e5c7046f0b113b623274eec8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004003", "prompt": "Solve the equation -19(x - 1134) - 14691 = 7653 for x.", "solution_steps": ["Expand: -19x + 21546 - 14691 = 7653", "Combine constants: -19x + 6855 = 7653", "Subtract 6855 from both sides: -19x = 798", "Divide both sides by -19: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 1134) - 14691 = 7653", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1134, \"c\": 14691, \"e\": 7653, \"x\": -42}", "seed": "14891578042981933455", "semantic_fingerprint": "sha256:07cc663bd3708e9163d257c3649e7afd43bb61b4fc4a4b3c978c2accf6ba1866", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004004", "prompt": "Find x: 35x + 9099 = -24(x + 3122) + 88098", "solution_steps": ["Expand: 35x + 9099 = -24x - 74928 + 88098", "Combine constants: 35x + 9099 = -24x + 13170", "Add 24x to both sides: 59x + 9099 = 13170", "Subtract 9099 from both sides: 59x = 4071", "Divide both sides by 59: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 9099 = -24(x + 3122) + 88098", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9099, \"c\": -24, \"d\": 3122, \"f\": 88098, \"x\": 69}", "seed": "11440774067665107656", "semantic_fingerprint": "sha256:293c2742b1720976b7beb9601a734dfe17c2dabdd0ee87e616f195ddde8b891b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004005", "prompt": "What value of x satisfies 27(x - 3444) - 6864 = -23(x + 8113) - 3515?", "solution_steps": ["Expand: 27x - 92988 - 6864 = -23(x + 8113) - 3515", "Expand: 27x - 92988 - 6864 = -23x - 186599 - 3515", "Combine constants: 27x - 99852 = -23x - 186599 - 3515", "Combine constants: 27x - 99852 = -23x - 190114", "Add 23x to both sides: 50x - 99852 = -190114", "Add 99852 to both sides: 50x = -90262", "Divide both sides by 50: x = -45131/25"], "final_answer": "-45131/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 3444) - 6864 = -23(x + 8113) - 3515", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 3444, \"c\": 6864, \"d\": -23, \"e\": 8113, \"f\": 3515}", "seed": "2967736942456153370", "semantic_fingerprint": "sha256:2d871f6ba96ab21b2537be1750b8415d0aa7d71ae6e3219391117f44020e83b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004006", "prompt": "Solve for x: x - 8342 = 17x - 5494", "solution_steps": ["Subtract 17x from both sides: -16x - 8342 = -5494", "Add 8342 to both sides: -16x = 2848", "Divide both sides by -16: x = -178"], "final_answer": "-178", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8342 = 17x - 5494", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8342, \"b\": 17, \"d\": -5494, \"x\": -178}", "seed": "8740588438909935772", "semantic_fingerprint": "sha256:ea41836d02eb619671437e19d73eb349340003f14da621060b63e85727344ec0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004007", "prompt": "Solve for x: -29x = 19x + 7584", "solution_steps": ["Subtract 19x from both sides: -48x = 7584", "Divide both sides by -48: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x = 19x + 7584", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 19, \"d\": 7584, \"x\": -158}", "seed": "13333755919391411650", "semantic_fingerprint": "sha256:2e9a8fa03a253e80e91a197df0b79d80832b024003ee22f23c837879717a4bf4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004008", "prompt": "Find x: 40x + 60473 = x + 63086", "solution_steps": ["Subtract x from both sides: 39x + 60473 = 63086", "Subtract 60473 from both sides: 39x = 2613", "Divide both sides by 39: x = 67"], "final_answer": "67", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 60473 = x + 63086", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 60473, \"d\": 63086, \"x\": 67}", "seed": "5844371222265574381", "semantic_fingerprint": "sha256:714c6dd71b38e3bb5a3914268f605578f4299c9ee37dc418922e601cc84a2695", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004009", "prompt": "Find x: x - 1606 = 23x", "solution_steps": ["Subtract 23x from both sides: -22x - 1606 = 0", "Add 1606 to both sides: -22x = 1606", "Divide both sides by -22: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1606 = 23x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"c\": -1606, \"x\": -73}", "seed": "6673635063050796169", "semantic_fingerprint": "sha256:3292e879dac95b722d47267101252e2b4a26ecfd55fd4445232d0bf1239dffed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004010", "prompt": "Calculate: (54675 + 1136) / 5616", "solution_steps": ["Add: 54675 + 1136 = 55811", "Divide: 55811 / 5616 = 55811/5616"], "final_answer": "55811/5616", "answer_type": "rational", "kind": "expression", "math_text": "(54675 + 1136) / 5616", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54675, \"b\": 1136, \"c\": 5616}", "seed": "12581619399904029919", "semantic_fingerprint": "sha256:b9a114eae7f95402094e551d24630e7a02561f1c717517852629fabf466a6768", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004011", "prompt": "Calculate: -2363 + (-2403) * (5241 * (66408 - 94057))", "solution_steps": ["Subtract: 66408 - 94057 = -27649", "Multiply: 5241 * (-27649) = -144908409", "Multiply: -2403 * (-144908409) = 348214906827", "Add: -2363 + 348214906827 = 348214904464"], "final_answer": "348214904464", "answer_type": "integer", "kind": "expression", "math_text": "-2363 + (-2403) * (5241 * (66408 - 94057))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (* n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2363, \"b\": -2403, \"c\": 5241, \"d\": 66408, \"e\": 94057}", "seed": "13974720144975932548", "semantic_fingerprint": "sha256:4ef837f2d879a0dfa882b186a1d16317706741804a2a2fea3a3b49ace0eb9a0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004012", "prompt": "Solve for x: -19x = -38x + 2603", "solution_steps": ["Add 38x to both sides: 19x = 2603", "Divide both sides by 19: x = 137"], "final_answer": "137", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x = -38x + 2603", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": -38, \"d\": 2603, \"x\": 137}", "seed": "2526859905313084492", "semantic_fingerprint": "sha256:09e08f2f7bd11167593a0a7e33b524ccf395e2e6d39713dbe8ed79ada36e371d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004013", "prompt": "Calculate: -9763 + 4001 / (-77125)", "solution_steps": ["Divide: 4001 / (-77125) = -4001/77125", "Add: -9763 + (-4001/77125) = -752975376/77125"], "final_answer": "-752975376/77125", "answer_type": "rational", "kind": "expression", "math_text": "-9763 + 4001 / (-77125)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9763, \"b\": 4001, \"c\": -77125}", "seed": "12685313014534322756", "semantic_fingerprint": "sha256:3e782a4425ac71cd52d6a8ed22bea0313703961f39565b75a1dfb77f3021c6e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004014", "prompt": "Evaluate: (-84838 - (-10546)) * (-60687)", "solution_steps": ["Subtract: -84838 - (-10546) = -74292", "Multiply: -74292 * (-60687) = 4508558604"], "final_answer": "4508558604", "answer_type": "integer", "kind": "expression", "math_text": "(-84838 - (-10546)) * (-60687)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84838, \"b\": -10546, \"c\": -60687}", "seed": "1369557055600754969", "semantic_fingerprint": "sha256:5fb8213f543cc165a96946078eb0457b751f73baba4b158e1bf5d709f6570edc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004015", "prompt": "Evaluate: 4721 - 7546 - 8254", "solution_steps": ["Subtract: 4721 - 7546 = -2825", "Subtract: -2825 - 8254 = -11079"], "final_answer": "-11079", "answer_type": "integer", "kind": "expression", "math_text": "4721 - 7546 - 8254", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4721, \"b\": 7546, \"c\": 8254}", "seed": "11495081466507227657", "semantic_fingerprint": "sha256:a7ee255700e111c1b494ab4380c1650c5585b40e729974314d1a71aba1dcbd12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004016", "prompt": "Evaluate: 7985 + (-6551)", "solution_steps": ["Add: 7985 + (-6551) = 1434"], "final_answer": "1434", "answer_type": "integer", "kind": "expression", "math_text": "7985 + (-6551)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7985, \"b\": -6551}", "seed": "13522517393588343100", "semantic_fingerprint": "sha256:a9f2d93ed2c2279b02ca430d92b8b6180d673391b1834bf641815711c4f9d7e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004017", "prompt": "What value of x satisfies 13x = 35(x - 7936)?", "solution_steps": ["Expand: 13x = 35x - 277760", "Subtract 35x from both sides: -22x = -277760", "Divide both sides by -22: x = 138880/11"], "final_answer": "138880/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 35(x - 7936)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 35, \"c\": 7936}", "seed": "8411341764030123089", "semantic_fingerprint": "sha256:65361bcc3fe6962637c1914f0558ce5134fe1d4b3d4fc3ea9c76fd7e66aec8df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004018", "prompt": "Compute: -4082 + (-6780) + (1992 - (26052 - 3753) * (-9399))", "solution_steps": ["Add: -4082 + (-6780) = -10862", "Subtract: 26052 - 3753 = 22299", "Multiply: 22299 * (-9399) = -209588301", "Subtract: 1992 - (-209588301) = 209590293", "Add: -10862 + 209590293 = 209579431"], "final_answer": "209579431", "answer_type": "integer", "kind": "expression", "math_text": "-4082 + (-6780) + (1992 - (26052 - 3753) * (-9399))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (* (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4082, \"b\": -6780, \"c\": 1992, \"d\": 26052, \"e\": 3753, \"f\": -9399}", "seed": "2421013817668924122", "semantic_fingerprint": "sha256:fadba8dc965bce791f5c156d266569680da9e5cb12250f6166590cd21b881e45", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004019", "prompt": "What is -8789 * (-5449 * (-1750))?", "solution_steps": ["Multiply: -5449 * (-1750) = 9535750", "Multiply: -8789 * 9535750 = -83809706750"], "final_answer": "-83809706750", "answer_type": "integer", "kind": "expression", "math_text": "-8789 * (-5449 * (-1750))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8789, \"b\": -5449, \"c\": -1750}", "seed": "497653698063801106", "semantic_fingerprint": "sha256:dec9dae547fe88f5c0475553cbd3e719c066c22207c81694ece0535c1939a05e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004020", "prompt": "Calculate: 6496 - (3438 + (-69125)) - 6905", "solution_steps": ["Add: 3438 + (-69125) = -65687", "Subtract: 6496 - (-65687) = 72183", "Subtract: 72183 - 6905 = 65278"], "final_answer": "65278", "answer_type": "integer", "kind": "expression", "math_text": "6496 - (3438 + (-69125)) - 6905", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6496, \"b\": 3438, \"c\": -69125, \"d\": 6905}", "seed": "17360682114531940939", "semantic_fingerprint": "sha256:c265cf9ec6e6b64b249d634766af78b861ffaa9f29b3f2d27a0c3afccb818e4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004021", "prompt": "Solve the equation x - 5558 = 39x for x.", "solution_steps": ["Subtract 39x from both sides: -38x - 5558 = 0", "Add 5558 to both sides: -38x = 5558", "Divide both sides by -38: x = -2779/19"], "final_answer": "-2779/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5558 = 39x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5558, \"b\": 39}", "seed": "6015066661611370937", "semantic_fingerprint": "sha256:5463071756c9d6b27dd326846552df760476a315b2249b5a84812d5739f37d5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004022", "prompt": "Solve the equation -38x + 2377 = 15(x + 8076) - 23566 for x.", "solution_steps": ["Expand: -38x + 2377 = 15x + 121140 - 23566", "Combine constants: -38x + 2377 = 15x + 97574", "Subtract 15x from both sides: -53x + 2377 = 97574", "Subtract 2377 from both sides: -53x = 95197", "Divide both sides by -53: x = -95197/53"], "final_answer": "-95197/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x + 2377 = 15(x + 8076) - 23566", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 2377, \"c\": 15, \"d\": 8076, \"e\": 23566}", "seed": "10657845630023287149", "semantic_fingerprint": "sha256:ae0df08cddcaed6da2be852c474c356d93d6009b7eada6b4d929cbb3f167ba43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004023", "prompt": "What is -86475 + (-8520 + 39253)?", "solution_steps": ["Add: -8520 + 39253 = 30733", "Add: -86475 + 30733 = -55742"], "final_answer": "-55742", "answer_type": "integer", "kind": "expression", "math_text": "-86475 + (-8520 + 39253)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86475, \"b\": -8520, \"c\": 39253}", "seed": "11523555331927582750", "semantic_fingerprint": "sha256:0d7cfae921702062a4869da98a0e37db2a880d9b42cf09c894d126f7399e93eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004024", "prompt": "What is 7170 + (-9637)?", "solution_steps": ["Add: 7170 + (-9637) = -2467"], "final_answer": "-2467", "answer_type": "integer", "kind": "expression", "math_text": "7170 + (-9637)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7170, \"b\": -9637}", "seed": "13185664272320038286", "semantic_fingerprint": "sha256:735f9a8b0be528804fafe8d7d3a22816e4f34854dbc5ac94b0fcd5190082e194", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004025", "prompt": "Calculate: (97358 + 2479) / (-4453)", "solution_steps": ["Add: 97358 + 2479 = 99837", "Divide: 99837 / (-4453) = -99837/4453"], "final_answer": "-99837/4453", "answer_type": "rational", "kind": "expression", "math_text": "(97358 + 2479) / (-4453)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97358, \"b\": 2479, \"c\": -4453}", "seed": "12563567583585937033", "semantic_fingerprint": "sha256:952a1940c6a11629157b5bfb3dc623b89b4f8320ea2fd48ac0daf6e52b4b6733", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004026", "prompt": "Solve for x: 27x + 46465 = x + 51015", "solution_steps": ["Subtract x from both sides: 26x + 46465 = 51015", "Subtract 46465 from both sides: 26x = 4550", "Divide both sides by 26: x = 175"], "final_answer": "175", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 46465 = x + 51015", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 46465, \"d\": 51015, \"x\": 175}", "seed": "11072216221489641362", "semantic_fingerprint": "sha256:17160d49a48902b1ba8dd89aaf036712648c65d728185768511d1c113b44b819", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004027", "prompt": "What is 8551 - (-47332) + 9439 - 2124?", "solution_steps": ["Subtract: 8551 - (-47332) = 55883", "Add: 55883 + 9439 = 65322", "Subtract: 65322 - 2124 = 63198"], "final_answer": "63198", "answer_type": "integer", "kind": "expression", "math_text": "8551 - (-47332) + 9439 - 2124", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8551, \"b\": -47332, \"c\": 9439, \"d\": 2124}", "seed": "10116582190989968441", "semantic_fingerprint": "sha256:801a5685635fd708ecfed29f338dfca248fdee8354f3ad68ae9e18d70b35b563", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004028", "prompt": "Evaluate: 22536 * (-14613) / (3467 - 3614)", "solution_steps": ["Multiply: 22536 * (-14613) = -329318568", "Subtract: 3467 - 3614 = -147", "Divide: -329318568 / (-147) = 109772856/49"], "final_answer": "109772856/49", "answer_type": "rational", "kind": "expression", "math_text": "22536 * (-14613) / (3467 - 3614)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22536, \"b\": -14613, \"c\": 3467, \"d\": 3614}", "seed": "12486747870723366201", "semantic_fingerprint": "sha256:5030e1741f30bc65bc97e74d0a46b158216673a69086459eb349e4b8ab40687c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004029", "prompt": "What is 13704 / 7213?", "solution_steps": ["Divide: 13704 / 7213 = 13704/7213"], "final_answer": "13704/7213", "answer_type": "rational", "kind": "expression", "math_text": "13704 / 7213", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13704, \"b\": 7213}", "seed": "7477803581392073664", "semantic_fingerprint": "sha256:10b9e3a1956e3201e6e729c1f9310f8b4e0f8f180759c7b31c9edb20ee37a53d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004030", "prompt": "Evaluate: 5380 + (-9811 * 38089 + (-27379 - (-3968)))", "solution_steps": ["Multiply: -9811 * 38089 = -373691179", "Subtract: -27379 - (-3968) = -23411", "Add: -373691179 + (-23411) = -373714590", "Add: 5380 + (-373714590) = -373709210"], "final_answer": "-373709210", "answer_type": "integer", "kind": "expression", "math_text": "5380 + (-9811 * 38089 + (-27379 - (-3968)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5380, \"b\": -9811, \"c\": 38089, \"d\": -27379, \"e\": -3968}", "seed": "6874618088060988192", "semantic_fingerprint": "sha256:998eb7ac40a11902f3377e6a39ed2534a683d3c4fafba1f7009576fb9f0c562a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004031", "prompt": "What is 9683 + (-68192 - (-17500)) * (-2118)?", "solution_steps": ["Subtract: -68192 - (-17500) = -50692", "Multiply: -50692 * (-2118) = 107365656", "Add: 9683 + 107365656 = 107375339"], "final_answer": "107375339", "answer_type": "integer", "kind": "expression", "math_text": "9683 + (-68192 - (-17500)) * (-2118)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9683, \"b\": -68192, \"c\": -17500, \"d\": -2118}", "seed": "11158519263077466277", "semantic_fingerprint": "sha256:b479112852abe10f9b192b2d8ef032ba039eaddbdd8985d10cd581af670abb08", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004032", "prompt": "Solve the equation x - 3588 = 24x for x.", "solution_steps": ["Subtract 24x from both sides: -23x - 3588 = 0", "Add 3588 to both sides: -23x = 3588", "Divide both sides by -23: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3588 = 24x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": -3588, \"x\": -156}", "seed": "14341871746065621686", "semantic_fingerprint": "sha256:089e6f84cc90670519d1b417cc165ef1a10d98c30110213c2b3d11bc641e52ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004033", "prompt": "Solve for x: x - 3058 = -38(x - 1653) - 70513", "solution_steps": ["Expand: x - 3058 = -38x + 62814 - 70513", "Combine constants: x - 3058 = -38x - 7699", "Add 38x to both sides: 39x - 3058 = -7699", "Add 3058 to both sides: 39x = -4641", "Divide both sides by 39: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3058 = -38(x - 1653) - 70513", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3058, \"b\": -38, \"c\": 1653, \"e\": -70513, \"x\": -119}", "seed": "177909376999316323", "semantic_fingerprint": "sha256:b7f9e08475f0970917bb17f298b153edc356060862205c2a89c06175fff2910f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004034", "prompt": "What value of x satisfies 13(x + 7478) - 6158 = 25(x - 34623)?", "solution_steps": ["Expand: 13x + 97214 - 6158 = 25(x - 34623)", "Expand: 13x + 97214 - 6158 = 25x - 865575", "Combine constants: 13x + 91056 = 25x - 865575", "Subtract 25x from both sides: -12x + 91056 = -865575", "Subtract 91056 from both sides: -12x = -956631", "Divide both sides by -12: x = 318877/4"], "final_answer": "318877/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 7478) - 6158 = 25(x - 34623)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7478, \"c\": 6158, \"d\": 25, \"e\": 34623}", "seed": "8353662988886994152", "semantic_fingerprint": "sha256:33c371f685708dfe2349a7c0c6090de6fba25453ac0e02e5fb4a0d14609a50e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004035", "prompt": "Find x: 30x + 6117 = x", "solution_steps": ["Subtract x from both sides: 29x + 6117 = 0", "Subtract 6117 from both sides: 29x = -6117", "Divide both sides by 29: x = -6117/29"], "final_answer": "-6117/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x + 6117 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 6117}", "seed": "14618121972517201730", "semantic_fingerprint": "sha256:9305f8c4cc92ab93fb9e3eca0601b38dbe535ce0c3c25bfc66179d2da9be97b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004036", "prompt": "Evaluate: -37554 + (-6350 + 14944 + 68042)", "solution_steps": ["Add: -6350 + 14944 = 8594", "Add: 8594 + 68042 = 76636", "Add: -37554 + 76636 = 39082"], "final_answer": "39082", "answer_type": "integer", "kind": "expression", "math_text": "-37554 + (-6350 + 14944 + 68042)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37554, \"b\": -6350, \"c\": 14944, \"d\": 68042}", "seed": "10725300425521373016", "semantic_fingerprint": "sha256:c25526fd8c8ca857837d060ae1570e586c4d77356f1d9cf18b0cfbcdf92508ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004037", "prompt": "Compute: 21262 * (-2936) - (-9295) / 7303", "solution_steps": ["Multiply: 21262 * (-2936) = -62425232", "Divide: -9295 / 7303 = -9295/7303", "Subtract: -62425232 - (-9295/7303) = -455891460001/7303"], "final_answer": "-455891460001/7303", "answer_type": "rational", "kind": "expression", "math_text": "21262 * (-2936) - (-9295) / 7303", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21262, \"b\": -2936, \"c\": -9295, \"d\": 7303}", "seed": "4045727701022651795", "semantic_fingerprint": "sha256:a0a2f3f3f65d94580df2b4217a415cac7bc6930e349360e439f8bf3ea5bf9270", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004038", "prompt": "What is 41973 * 2788?", "solution_steps": ["Multiply: 41973 * 2788 = 117020724"], "final_answer": "117020724", "answer_type": "integer", "kind": "expression", "math_text": "41973 * 2788", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 41973, \"b\": 2788}", "seed": "18173700485966165389", "semantic_fingerprint": "sha256:3243024d87bf4df4a5d53b1612e2c68c89943608000e29499cefd327ad08cc6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004039", "prompt": "Compute: 26440 / 8453 * (8742 + (-7290 - (8175 - (-63080))))", "solution_steps": ["Divide: 26440 / 8453 = 26440/8453", "Subtract: 8175 - (-63080) = 71255", "Subtract: -7290 - 71255 = -78545", "Add: 8742 + (-78545) = -69803", "Multiply: (26440/8453) * (-69803) = -1845591320/8453"], "final_answer": "-1845591320/8453", "answer_type": "rational", "kind": "expression", "math_text": "26440 / 8453 * (8742 + (-7290 - (8175 - (-63080))))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ n (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26440, \"b\": 8453, \"c\": 8742, \"d\": -7290, \"e\": 8175, \"f\": -63080}", "seed": "12147107304614108335", "semantic_fingerprint": "sha256:1fd61d94632ca6cfc37ea4b61c2f9bfdf0f83e1936922b51f6c7cf067e5f1113", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004040", "prompt": "Calculate: -3585 * (-32674 - 8942)", "solution_steps": ["Subtract: -32674 - 8942 = -41616", "Multiply: -3585 * (-41616) = 149193360"], "final_answer": "149193360", "answer_type": "integer", "kind": "expression", "math_text": "-3585 * (-32674 - 8942)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3585, \"b\": -32674, \"c\": 8942}", "seed": "7547342932332598842", "semantic_fingerprint": "sha256:c3c3785746c00be651bd1918b47691781798bbf2dc7aae4aae5b0c7bc24a2a92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004041", "prompt": "Evaluate: (6186 - 8054) * 8421", "solution_steps": ["Subtract: 6186 - 8054 = -1868", "Multiply: -1868 * 8421 = -15730428"], "final_answer": "-15730428", "answer_type": "integer", "kind": "expression", "math_text": "(6186 - 8054) * 8421", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6186, \"b\": 8054, \"c\": 8421}", "seed": "9381554375254060795", "semantic_fingerprint": "sha256:a17bd517e2185d53b526556cd613410a24bcc106d4f16a40c5c6708afed77900", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004042", "prompt": "What is -75232 * (-30050)?", "solution_steps": ["Multiply: -75232 * (-30050) = 2260721600"], "final_answer": "2260721600", "answer_type": "integer", "kind": "expression", "math_text": "-75232 * (-30050)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -75232, \"b\": -30050}", "seed": "6295926265481222835", "semantic_fingerprint": "sha256:f3422a3393539ee0ff78c6e2c72265db066605c11d5eb60d19c518f66b58c084", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004043", "prompt": "Compute: -3417 + 2790 - (-14042) - 3293", "solution_steps": ["Add: -3417 + 2790 = -627", "Subtract: -627 - (-14042) = 13415", "Subtract: 13415 - 3293 = 10122"], "final_answer": "10122", "answer_type": "integer", "kind": "expression", "math_text": "-3417 + 2790 - (-14042) - 3293", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3417, \"b\": 2790, \"c\": -14042, \"d\": 3293}", "seed": "3543331306914806692", "semantic_fingerprint": "sha256:c4342eb942d066026c6c4e35ffbbba2143c22d58fe24dedc4b37437f3a40ff4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004044", "prompt": "Find x: 13(x - 42217) = -16(x + 6212) + 8750", "solution_steps": ["Expand: 13x - 548821 = -16(x + 6212) + 8750", "Expand: 13x - 548821 = -16x - 99392 + 8750", "Combine constants: 13x - 548821 = -16x - 90642", "Add 16x to both sides: 29x - 548821 = -90642", "Add 548821 to both sides: 29x = 458179", "Divide both sides by 29: x = 458179/29"], "final_answer": "458179/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 42217) = -16(x + 6212) + 8750", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 42217, \"c\": -16, \"d\": 6212, \"e\": 8750}", "seed": "12779189606595958795", "semantic_fingerprint": "sha256:8ce0d48295e40e6e84fe51507f4ece0938ebe2c154a092654469e685def8eb2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004045", "prompt": "Evaluate: 60171 + 59899", "solution_steps": ["Add: 60171 + 59899 = 120070"], "final_answer": "120070", "answer_type": "integer", "kind": "expression", "math_text": "60171 + 59899", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60171, \"b\": 59899}", "seed": "16652797275199903122", "semantic_fingerprint": "sha256:3b73979ed1398b1d5a359b1c3dade205520a024f1f925736d3e23b614eda4b42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004046", "prompt": "Compute: 1308 * (-6587 / (-87710 / 3822))", "solution_steps": ["Divide: -87710 / 3822 = -895/39", "Divide: -6587 / (-895/39) = 256893/895", "Multiply: 1308 * (256893/895) = 336016044/895"], "final_answer": "336016044/895", "answer_type": "rational", "kind": "expression", "math_text": "1308 * (-6587 / (-87710 / 3822))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1308, \"b\": -6587, \"c\": -87710, \"d\": 3822}", "seed": "9869859659259004212", "semantic_fingerprint": "sha256:aef7eeaa51cb61ec7e724ca65cc9a749557f6131a69fd71f859b41fd22706e4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004047", "prompt": "Find x: 30x = x + 1711", "solution_steps": ["Subtract x from both sides: 29x = 1711", "Divide both sides by 29: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = x + 1711", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": 1711, \"x\": 59}", "seed": "4897257532108407494", "semantic_fingerprint": "sha256:96e26abc49ee32e519c9f0eec8994ba99c9363aa44507f7cf1dbac4d05994ee1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004048", "prompt": "Solve the equation 33(x - 35489) = 28(x - 9097) + 85956 for x.", "solution_steps": ["Expand: 33x - 1171137 = 28(x - 9097) + 85956", "Expand: 33x - 1171137 = 28x - 254716 + 85956", "Combine constants: 33x - 1171137 = 28x - 168760", "Subtract 28x from both sides: 5x - 1171137 = -168760", "Add 1171137 to both sides: 5x = 1002377", "Divide both sides by 5: x = 1002377/5"], "final_answer": "1002377/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 35489) = 28(x - 9097) + 85956", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 35489, \"c\": 28, \"d\": 9097, \"e\": 85956}", "seed": "15546350371995863879", "semantic_fingerprint": "sha256:f1b6a7c0fbfdce2124bc6c4aa0ea79f3810c299334f51eb3274c778698b8fde2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004049", "prompt": "Evaluate: -8235 * (-1781 / (-9531) + 7819 + (-5788))", "solution_steps": ["Divide: -1781 / (-9531) = 1781/9531", "Add: 1781/9531 + 7819 = 74524670/9531", "Add: 74524670/9531 + (-5788) = 19359242/9531", "Multiply: -8235 * (19359242/9531) = -5904568810/353"], "final_answer": "-5904568810/353", "answer_type": "rational", "kind": "expression", "math_text": "-8235 * (-1781 / (-9531) + 7819 + (-5788))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8235, \"b\": -1781, \"c\": -9531, \"d\": 7819, \"e\": -5788}", "seed": "11695240389449941033", "semantic_fingerprint": "sha256:cd64f98496aa733712520ad80c6ddff5bb62c3cee08bf1489ffff4881a23fd09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004050", "prompt": "Find x: 23(x + 20198) + 26675 = -8861", "solution_steps": ["Expand: 23x + 464554 + 26675 = -8861", "Combine constants: 23x + 491229 = -8861", "Subtract 491229 from both sides: 23x = -500090", "Divide both sides by 23: x = -500090/23"], "final_answer": "-500090/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 20198) + 26675 = -8861", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 20198, \"c\": 26675, \"d\": -8861}", "seed": "17946473538633224343", "semantic_fingerprint": "sha256:2e9375755f2e8b8b8f6e8c76c88a462059843aa5c6f9cfcdb118361a21239789", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004051", "prompt": "What value of x satisfies -19x - 8135 = x + 5682?", "solution_steps": ["Subtract x from both sides: -20x - 8135 = 5682", "Add 8135 to both sides: -20x = 13817", "Divide both sides by -20: x = -13817/20"], "final_answer": "-13817/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x - 8135 = x + 5682", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 8135, \"c\": 5682}", "seed": "6071215726610327882", "semantic_fingerprint": "sha256:2de42d62857bbd90489bf7812391c4618bae8cc7638af940a639782f2fba2b9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004052", "prompt": "Evaluate: -81536 - (-9494) * (-4383 / 38154 + 9173)", "solution_steps": ["Divide: -4383 / 38154 = -1461/12718", "Add: -1461/12718 + 9173 = 116660753/12718", "Multiply: -9494 * (116660753/12718) = -553788594491/6359", "Subtract: -81536 - (-553788594491/6359) = 553270107067/6359"], "final_answer": "553270107067/6359", "answer_type": "rational", "kind": "expression", "math_text": "-81536 - (-9494) * (-4383 / 38154 + 9173)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (+ (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -81536, \"b\": -9494, \"c\": -4383, \"d\": 38154, \"e\": 9173}", "seed": "4426541707359034049", "semantic_fingerprint": "sha256:123d99d278c3083f25c542ab3873609b3532f36bfe20e9a746210d5c8ba66892", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004053", "prompt": "What is 12803 / (-2125) - (-91621) / (2228 - 1857) - 5743?", "solution_steps": ["Divide: 12803 / (-2125) = -12803/2125", "Subtract: 2228 - 1857 = 371", "Divide: -91621 / 371 = -91621/371", "Subtract: -12803/2125 - (-91621/371) = 189944712/788375", "Subtract: 189944712/788375 - 5743 = -4337692913/788375"], "final_answer": "-4337692913/788375", "answer_type": "rational", "kind": "expression", "math_text": "12803 / (-2125) - (-91621) / (2228 - 1857) - 5743", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 12803, \"b\": -2125, \"c\": -91621, \"d\": 2228, \"e\": 1857, \"f\": 5743}", "seed": "8725393777765153831", "semantic_fingerprint": "sha256:89cab6cdf7e4a45f676557bdf69310e04d6d16663eb55fe6b1b6b0a0a1b42f3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004054", "prompt": "Solve the equation x + 4210 = -29x + 2710 for x.", "solution_steps": ["Add 29x to both sides: 30x + 4210 = 2710", "Subtract 4210 from both sides: 30x = -1500", "Divide both sides by 30: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4210 = -29x + 2710", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4210, \"b\": -29, \"c\": 2710}", "seed": "13905982868341886356", "semantic_fingerprint": "sha256:af372c3b52d9be25087f9c5fba5c027608ff1f620647a607a158f6fe08b70932", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004055", "prompt": "What is 19100 * (88241 + (-71724))?", "solution_steps": ["Add: 88241 + (-71724) = 16517", "Multiply: 19100 * 16517 = 315474700"], "final_answer": "315474700", "answer_type": "integer", "kind": "expression", "math_text": "19100 * (88241 + (-71724))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19100, \"b\": 88241, \"c\": -71724}", "seed": "7979956732279573777", "semantic_fingerprint": "sha256:4280432df49ce4d9736c8b4bd77c2ed86ce93451ae68d141c887bad0fd4e02ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004056", "prompt": "Compute: -64755 - 6837 + 7407", "solution_steps": ["Subtract: -64755 - 6837 = -71592", "Add: -71592 + 7407 = -64185"], "final_answer": "-64185", "answer_type": "integer", "kind": "expression", "math_text": "-64755 - 6837 + 7407", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64755, \"b\": 6837, \"c\": 7407}", "seed": "8449657860785596122", "semantic_fingerprint": "sha256:52eb97f51b76279f399964aca8cbf22698c5001d0a3cfc2b27b45b14e9e12b96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004057", "prompt": "What is (-86745 - 28595 + (-5649)) / 14354?", "solution_steps": ["Subtract: -86745 - 28595 = -115340", "Add: -115340 + (-5649) = -120989", "Divide: -120989 / 14354 = -120989/14354"], "final_answer": "-120989/14354", "answer_type": "rational", "kind": "expression", "math_text": "(-86745 - 28595 + (-5649)) / 14354", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86745, \"b\": 28595, \"c\": -5649, \"d\": 14354}", "seed": "7608985213089615469", "semantic_fingerprint": "sha256:9ee6b0fa3f1368a3d4d0e1dd89ca54c5181153c597db18c232aa4b2fd4087b3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004058", "prompt": "What is 1700 * 85927?", "solution_steps": ["Multiply: 1700 * 85927 = 146075900"], "final_answer": "146075900", "answer_type": "integer", "kind": "expression", "math_text": "1700 * 85927", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1700, \"b\": 85927}", "seed": "9983368558536767061", "semantic_fingerprint": "sha256:4f23eb8f925969b91f9d14dd692ad94a7b0f70d0653e8a08602fda400fe51459", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004059", "prompt": "Evaluate: -9464 - (-76715 / 28809 * 2486 + (-71162))", "solution_steps": ["Divide: -76715 / 28809 = -76715/28809", "Multiply: (-76715/28809) * 2486 = -17337590/2619", "Add: -17337590/2619 + (-71162) = -203710868/2619", "Subtract: -9464 - (-203710868/2619) = 178924652/2619"], "final_answer": "178924652/2619", "answer_type": "rational", "kind": "expression", "math_text": "-9464 - (-76715 / 28809 * 2486 + (-71162))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9464, \"b\": -76715, \"c\": 28809, \"d\": 2486, \"e\": -71162}", "seed": "11719279728915629216", "semantic_fingerprint": "sha256:d5173d69660d26d17d9c7730df8651f63adde30dd35b1ac2746bbe2d867db833", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004060", "prompt": "What is -50671 + 6765 + (4266 + 35839) * (-3271)?", "solution_steps": ["Add: -50671 + 6765 = -43906", "Add: 4266 + 35839 = 40105", "Multiply: 40105 * (-3271) = -131183455", "Add: -43906 + (-131183455) = -131227361"], "final_answer": "-131227361", "answer_type": "integer", "kind": "expression", "math_text": "-50671 + 6765 + (4266 + 35839) * (-3271)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -50671, \"b\": 6765, \"c\": 4266, \"d\": 35839, \"e\": -3271}", "seed": "16961284439280306130", "semantic_fingerprint": "sha256:dc1e230c7b6671b0316a2c0ffe3db7638a5560d7deeff6ed610ec829ca247c47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004061", "prompt": "Evaluate: 14875 - 3172 + 10380", "solution_steps": ["Subtract: 14875 - 3172 = 11703", "Add: 11703 + 10380 = 22083"], "final_answer": "22083", "answer_type": "integer", "kind": "expression", "math_text": "14875 - 3172 + 10380", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14875, \"b\": 3172, \"c\": 10380}", "seed": "11763952407965548136", "semantic_fingerprint": "sha256:bb018a52ff2662dd623513c94726b9ff3aebe8c3b0fe8a3b6ef8236ff6fd0201", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004062", "prompt": "Find x: 17x + 4308 = 30x + 2527", "solution_steps": ["Subtract 30x from both sides: -13x + 4308 = 2527", "Subtract 4308 from both sides: -13x = -1781", "Divide both sides by -13: x = 137"], "final_answer": "137", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 4308 = 30x + 2527", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4308, \"c\": 30, \"e\": 2527, \"x\": 137}", "seed": "1965722780668879891", "semantic_fingerprint": "sha256:f8a72204e590e27b13ebb34cd8684fc093a110181d6924858bf2f1948e28c88c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004063", "prompt": "Calculate: -1433 * (1521 * (-53499))", "solution_steps": ["Multiply: 1521 * (-53499) = -81371979", "Multiply: -1433 * (-81371979) = 116606045907"], "final_answer": "116606045907", "answer_type": "integer", "kind": "expression", "math_text": "-1433 * (1521 * (-53499))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1433, \"b\": 1521, \"c\": -53499}", "seed": "2539361232496040477", "semantic_fingerprint": "sha256:55662ef26b1e5ed3497afd5241e37157511567837a2ae06d8c456c6266de7bd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004064", "prompt": "Calculate: (7053 + 2482) * (-3129 * 4235)", "solution_steps": ["Add: 7053 + 2482 = 9535", "Multiply: -3129 * 4235 = -13251315", "Multiply: 9535 * (-13251315) = -126351288525"], "final_answer": "-126351288525", "answer_type": "integer", "kind": "expression", "math_text": "(7053 + 2482) * (-3129 * 4235)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7053, \"b\": 2482, \"c\": -3129, \"d\": 4235}", "seed": "17929164755806990241", "semantic_fingerprint": "sha256:81223dafdf88e72b8221076dd8d4f112f30258ac7512d0064df35a25c14f5e9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004065", "prompt": "What value of x satisfies -14x + 82446 = 38x + 74698?", "solution_steps": ["Subtract 38x from both sides: -52x + 82446 = 74698", "Subtract 82446 from both sides: -52x = -7748", "Divide both sides by -52: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x + 82446 = 38x + 74698", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 82446, \"c\": 38, \"e\": 74698, \"x\": 149}", "seed": "6832275225302702354", "semantic_fingerprint": "sha256:37af5b9d2fe810a7cc21d74e5aa50f1953faef6dec8a9fd9b326ff4a3d140505", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004066", "prompt": "What value of x satisfies -38x + 74726 = 19x + 4444?", "solution_steps": ["Subtract 19x from both sides: -57x + 74726 = 4444", "Subtract 74726 from both sides: -57x = -70282", "Divide both sides by -57: x = 70282/57"], "final_answer": "70282/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x + 74726 = 19x + 4444", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 74726, \"c\": 19, \"d\": 4444}", "seed": "14550982990429156895", "semantic_fingerprint": "sha256:cab73d360a7f415a1e3fe7792038536cfc30938bfb5e28cc70df178c4f2cd5d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004067", "prompt": "What is 7720 / (-4572 + (6469 + 9311))?", "solution_steps": ["Add: 6469 + 9311 = 15780", "Add: -4572 + 15780 = 11208", "Divide: 7720 / 11208 = 965/1401"], "final_answer": "965/1401", "answer_type": "rational", "kind": "expression", "math_text": "7720 / (-4572 + (6469 + 9311))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7720, \"b\": -4572, \"c\": 6469, \"d\": 9311}", "seed": "8517192074414345007", "semantic_fingerprint": "sha256:83add91991e05e0536f74220647d19b714eef82f43da05da06b9144979462638", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004068", "prompt": "Calculate: -4821 * 7943 + (82043 + (-6948)) - (-1531 - (-48553))", "solution_steps": ["Multiply: -4821 * 7943 = -38293203", "Add: 82043 + (-6948) = 75095", "Add: -38293203 + 75095 = -38218108", "Subtract: -1531 - (-48553) = 47022", "Subtract: -38218108 - 47022 = -38265130"], "final_answer": "-38265130", "answer_type": "integer", "kind": "expression", "math_text": "-4821 * 7943 + (82043 + (-6948)) - (-1531 - (-48553))", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4821, \"b\": 7943, \"c\": 82043, \"d\": -6948, \"e\": -1531, \"f\": -48553}", "seed": "5045429109676382096", "semantic_fingerprint": "sha256:40228aeb0272550d41bb5caa38f6bd9f78210f256565a4dd41e422815d4b3aad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004069", "prompt": "Evaluate: -42203 + 5094 - (-25644) * (-3831) + 5125", "solution_steps": ["Add: -42203 + 5094 = -37109", "Multiply: -25644 * (-3831) = 98242164", "Subtract: -37109 - 98242164 = -98279273", "Add: -98279273 + 5125 = -98274148"], "final_answer": "-98274148", "answer_type": "integer", "kind": "expression", "math_text": "-42203 + 5094 - (-25644) * (-3831) + 5125", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -42203, \"b\": 5094, \"c\": -25644, \"d\": -3831, \"e\": 5125}", "seed": "11368104890776251551", "semantic_fingerprint": "sha256:1ec73385f678d686e167ada4b63d181a8f7e68ad599300a6c553c1aa928f0a7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004070", "prompt": "Calculate: 1798 * 5731", "solution_steps": ["Multiply: 1798 * 5731 = 10304338"], "final_answer": "10304338", "answer_type": "integer", "kind": "expression", "math_text": "1798 * 5731", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1798, \"b\": 5731}", "seed": "16853372925650703452", "semantic_fingerprint": "sha256:0f1aa227629f4005b5586cbcd53c98b19a290b64951b597a2d40b974430df15c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004071", "prompt": "What value of x satisfies 30(x + 5546) = x - 5548?", "solution_steps": ["Expand: 30x + 166380 = x - 5548", "Subtract x from both sides: 29x + 166380 = -5548", "Subtract 166380 from both sides: 29x = -171928", "Divide both sides by 29: x = -171928/29"], "final_answer": "-171928/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 5546) = x - 5548", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 5546, \"c\": 5548}", "seed": "10909942168743554812", "semantic_fingerprint": "sha256:2f6970e88c6fd473fbf2b8bf2943c8cc486073670ff811a570f4c81d2a8c356a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004072", "prompt": "Evaluate: 2561 - 6751 * (-7102) + (-67240)", "solution_steps": ["Multiply: 6751 * (-7102) = -47945602", "Subtract: 2561 - (-47945602) = 47948163", "Add: 47948163 + (-67240) = 47880923"], "final_answer": "47880923", "answer_type": "integer", "kind": "expression", "math_text": "2561 - 6751 * (-7102) + (-67240)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2561, \"b\": 6751, \"c\": -7102, \"d\": -67240}", "seed": "3585748378194845509", "semantic_fingerprint": "sha256:fb7bd58c6f68a403670e49cb1236aa2e89a5180676610c26df53d92ff650a0de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004073", "prompt": "What value of x satisfies 40(x - 18162) - 6486 = x?", "solution_steps": ["Expand: 40x - 726480 - 6486 = x", "Combine constants: 40x - 732966 = x", "Subtract x from both sides: 39x - 732966 = 0", "Add 732966 to both sides: 39x = 732966", "Divide both sides by 39: x = 18794"], "final_answer": "18794", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 18162) - 6486 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 18162, \"c\": 6486}", "seed": "14464020949371125705", "semantic_fingerprint": "sha256:d26954b7e290c3872dfff2be02c70f6feb6d8aee2a4bc1eb58e8a99a066cf025", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004074", "prompt": "Solve the equation 15(x - 1334) + 68121 = x for x.", "solution_steps": ["Expand: 15x - 20010 + 68121 = x", "Combine constants: 15x + 48111 = x", "Subtract x from both sides: 14x + 48111 = 0", "Subtract 48111 from both sides: 14x = -48111", "Divide both sides by 14: x = -6873/2"], "final_answer": "-6873/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 1334) + 68121 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1334, \"c\": 68121}", "seed": "15152411425935663684", "semantic_fingerprint": "sha256:4491fc0610c705aba8ce4149cb32fd83879476208ecd67616ff5247395e33b40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004075", "prompt": "Solve the equation x + 1089 = -3395 for x.", "solution_steps": ["Subtract 1089 from both sides: x = -4484"], "final_answer": "-4484", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1089 = -3395", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1089, \"b\": -3395}", "seed": "8766568256440847554", "semantic_fingerprint": "sha256:3a33bcc6c7038b52ab5a1818bbce91a010f920f4cbe9a8a34a15f3b0d9a4469c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004076", "prompt": "What is 33894 - (-7659) + (-4212) / 1698?", "solution_steps": ["Subtract: 33894 - (-7659) = 41553", "Divide: -4212 / 1698 = -702/283", "Add: 41553 + (-702/283) = 11758797/283"], "final_answer": "11758797/283", "answer_type": "rational", "kind": "expression", "math_text": "33894 - (-7659) + (-4212) / 1698", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33894, \"b\": -7659, \"c\": -4212, \"d\": 1698}", "seed": "2481436091339861981", "semantic_fingerprint": "sha256:bad840eb43d06b8c2bb0e646f48573efe908f0c33dd246c16e164e668f366a02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004077", "prompt": "Calculate: -81378 * (-68485 / (-3899)) - (-2492 - 35384)", "solution_steps": ["Divide: -68485 / (-3899) = 68485/3899", "Multiply: -81378 * (68485/3899) = -5573172330/3899", "Subtract: -2492 - 35384 = -37876", "Subtract: -5573172330/3899 - (-37876) = -5425493806/3899"], "final_answer": "-5425493806/3899", "answer_type": "rational", "kind": "expression", "math_text": "-81378 * (-68485 / (-3899)) - (-2492 - 35384)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -81378, \"b\": -68485, \"c\": -3899, \"d\": -2492, \"e\": 35384}", "seed": "17006704597225331487", "semantic_fingerprint": "sha256:eea4cb299e8eace00c2152721d6e1b24165de1c9dccc5365cef5a11588b0edaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004078", "prompt": "Find x: 31(x - 40361) = x", "solution_steps": ["Expand: 31x - 1251191 = x", "Subtract x from both sides: 30x - 1251191 = 0", "Add 1251191 to both sides: 30x = 1251191", "Divide both sides by 30: x = 1251191/30"], "final_answer": "1251191/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 40361) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 40361}", "seed": "10301540097458435789", "semantic_fingerprint": "sha256:6b1584b6efc82490551389fd58f5fc5ef8e819ee2db01eba13e952e6f7f9a404", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004079", "prompt": "Evaluate: (-8184 + (-32662) * 8824) / (-34824)", "solution_steps": ["Multiply: -32662 * 8824 = -288209488", "Add: -8184 + (-288209488) = -288217672", "Divide: -288217672 / (-34824) = 36027209/4353"], "final_answer": "36027209/4353", "answer_type": "rational", "kind": "expression", "math_text": "(-8184 + (-32662) * 8824) / (-34824)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8184, \"b\": -32662, \"c\": 8824, \"d\": -34824}", "seed": "2719633990800662705", "semantic_fingerprint": "sha256:02dfcbe79774689f44ccb6f22c6e37901ce316cce95415130d1dc21f643968ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004080", "prompt": "Calculate: 6359 / (-8979 + (-9523))", "solution_steps": ["Add: -8979 + (-9523) = -18502", "Divide: 6359 / (-18502) = -6359/18502"], "final_answer": "-6359/18502", "answer_type": "rational", "kind": "expression", "math_text": "6359 / (-8979 + (-9523))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6359, \"b\": -8979, \"c\": -9523}", "seed": "7510905834058384077", "semantic_fingerprint": "sha256:12b448eafa730c2f67415d791723e0f279d58f1fb0f3623f234cdad24e93ad12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004081", "prompt": "What is 6333 * (-2469) - (1436 + 7405) * 31594?", "solution_steps": ["Multiply: 6333 * (-2469) = -15636177", "Add: 1436 + 7405 = 8841", "Multiply: 8841 * 31594 = 279322554", "Subtract: -15636177 - 279322554 = -294958731"], "final_answer": "-294958731", "answer_type": "integer", "kind": "expression", "math_text": "6333 * (-2469) - (1436 + 7405) * 31594", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6333, \"b\": -2469, \"c\": 1436, \"d\": 7405, \"e\": 31594}", "seed": "2820213374683139524", "semantic_fingerprint": "sha256:7e878a713cf1994741f58e10d66fff10aa0da7ea3815b4b1a08dd0449f8131ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004082", "prompt": "Solve the equation x = -40(x + 2123) - 9429 for x.", "solution_steps": ["Expand: x = -40x - 84920 - 9429", "Combine constants: x = -40x - 94349", "Add 40x to both sides: 41x = -94349", "Divide both sides by 41: x = -94349/41"], "final_answer": "-94349/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -40(x + 2123) - 9429", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 2123, \"c\": 9429}", "seed": "5924331701311209454", "semantic_fingerprint": "sha256:3f8af09dde0929d96b1de7a98d6d26577aaf7a76d8ac6d1163b99102760d077a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004083", "prompt": "Solve for x: 24x + 89663 = 29(x - 7322) + 11147", "solution_steps": ["Expand: 24x + 89663 = 29x - 212338 + 11147", "Combine constants: 24x + 89663 = 29x - 201191", "Subtract 29x from both sides: -5x + 89663 = -201191", "Subtract 89663 from both sides: -5x = -290854", "Divide both sides by -5: x = 290854/5"], "final_answer": "290854/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x + 89663 = 29(x - 7322) + 11147", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 89663, \"c\": 29, \"d\": 7322, \"e\": 11147}", "seed": "17432475853416086510", "semantic_fingerprint": "sha256:7ab16986d90e87337cef572d6ce8cff6b561810f141c83469a08276ebab95d1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004084", "prompt": "What is -29813 * 10154?", "solution_steps": ["Multiply: -29813 * 10154 = -302721202"], "final_answer": "-302721202", "answer_type": "integer", "kind": "expression", "math_text": "-29813 * 10154", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -29813, \"b\": 10154}", "seed": "9236895819980785332", "semantic_fingerprint": "sha256:1adcedd585c4a80dab5d98b6fbbc79eabc5c465bdef5d54f98ec07648795652a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004085", "prompt": "Calculate: 7627 + (-1297)", "solution_steps": ["Add: 7627 + (-1297) = 6330"], "final_answer": "6330", "answer_type": "integer", "kind": "expression", "math_text": "7627 + (-1297)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7627, \"b\": -1297}", "seed": "10037729404588522161", "semantic_fingerprint": "sha256:7818bfae7fea38e6ab19096e882315868fdacd38fe702b473cdb8b912bab33e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004086", "prompt": "Evaluate: -35757 + (-7873) * (67353 / 3728)", "solution_steps": ["Divide: 67353 / 3728 = 67353/3728", "Multiply: -7873 * (67353/3728) = -530270169/3728", "Add: -35757 + (-530270169/3728) = -663572265/3728"], "final_answer": "-663572265/3728", "answer_type": "rational", "kind": "expression", "math_text": "-35757 + (-7873) * (67353 / 3728)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35757, \"b\": -7873, \"c\": 67353, \"d\": 3728}", "seed": "6181876998620991451", "semantic_fingerprint": "sha256:f0be74e1961b9d42553de558ad1bdb6050d778f816696edc717b77ee750664f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004087", "prompt": "Solve the equation x = -18x + 1216 for x.", "solution_steps": ["Add 18x to both sides: 19x = 1216", "Divide both sides by 19: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -18x + 1216", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18, \"c\": 1216, \"x\": 64}", "seed": "4054289980393435213", "semantic_fingerprint": "sha256:0b988ac614cbc13d947481ecc914b49784605ed5100d430fe1be4b5e5d6c546b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004088", "prompt": "Evaluate: 4584 + (-3774) - (-60665)", "solution_steps": ["Add: 4584 + (-3774) = 810", "Subtract: 810 - (-60665) = 61475"], "final_answer": "61475", "answer_type": "integer", "kind": "expression", "math_text": "4584 + (-3774) - (-60665)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4584, \"b\": -3774, \"c\": -60665}", "seed": "8530115773194190116", "semantic_fingerprint": "sha256:3bdfa826d002b80d99761f64ed2f118b69feb7e35d434fa9d67c7f2d65d1e4ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004089", "prompt": "What value of x satisfies 25x - 9672 = 5882?", "solution_steps": ["Add 9672 to both sides: 25x = 15554", "Divide both sides by 25: x = 15554/25"], "final_answer": "15554/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 9672 = 5882", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 9672, \"c\": 5882}", "seed": "10984096764421789403", "semantic_fingerprint": "sha256:7cacab3ac03680e3e55403f27f63f207728863607f8942062eba9520cda5c137", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004090", "prompt": "What is 6304 - (4602 - 34254)?", "solution_steps": ["Subtract: 4602 - 34254 = -29652", "Subtract: 6304 - (-29652) = 35956"], "final_answer": "35956", "answer_type": "integer", "kind": "expression", "math_text": "6304 - (4602 - 34254)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6304, \"b\": 4602, \"c\": 34254}", "seed": "17415949382080875113", "semantic_fingerprint": "sha256:c90aecdf0cfdbd1ae8da5277ff55d59355e5c2ccec05e0ef6df206c0e440b143", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004091", "prompt": "Solve the equation -16(x + 8308) = 23x for x.", "solution_steps": ["Expand: -16x - 132928 = 23x", "Subtract 23x from both sides: -39x - 132928 = 0", "Add 132928 to both sides: -39x = 132928", "Divide both sides by -39: x = -132928/39"], "final_answer": "-132928/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 8308) = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 8308, \"c\": 23}", "seed": "6116310217077132694", "semantic_fingerprint": "sha256:cd275a34d492a35dc55d4ae2e1c312fdda03cc74e3e7d8e3d6af1a2b384792c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004092", "prompt": "Solve for x: -27x + 2475 = 28x", "solution_steps": ["Subtract 28x from both sides: -55x + 2475 = 0", "Subtract 2475 from both sides: -55x = -2475", "Divide both sides by -55: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27x + 2475 = 28x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 28, \"d\": 2475, \"x\": 45}", "seed": "64817982524867260", "semantic_fingerprint": "sha256:63fe02af831137bc92f44ae7c967def90147f3768f06bfc9a9add543540ec8b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004093", "prompt": "Solve the equation 38x = x - 2479 for x.", "solution_steps": ["Subtract x from both sides: 37x = -2479", "Divide both sides by 37: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = x - 2479", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": -2479, \"x\": -67}", "seed": "10482921863533454212", "semantic_fingerprint": "sha256:bdd78213ecc218fdbdfd1b4506836a7fbd1adf09ff364cb3c250b5c4bd1cff73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004094", "prompt": "What value of x satisfies 38x + 7939 = 27(x - 6944) + 5914?", "solution_steps": ["Expand: 38x + 7939 = 27x - 187488 + 5914", "Combine constants: 38x + 7939 = 27x - 181574", "Subtract 27x from both sides: 11x + 7939 = -181574", "Subtract 7939 from both sides: 11x = -189513", "Divide both sides by 11: x = -189513/11"], "final_answer": "-189513/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 7939 = 27(x - 6944) + 5914", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7939, \"c\": 27, \"d\": 6944, \"e\": 5914}", "seed": "5897617982813223734", "semantic_fingerprint": "sha256:d4ac9a9c9da4ce58db3cc796cc78ee55c3b08b6714a9260b2986f2dca4ae7e72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004095", "prompt": "Solve for x: x + 33779 = 40(x - 2117) + 67984", "solution_steps": ["Expand: x + 33779 = 40x - 84680 + 67984", "Combine constants: x + 33779 = 40x - 16696", "Subtract 40x from both sides: -39x + 33779 = -16696", "Subtract 33779 from both sides: -39x = -50475", "Divide both sides by -39: x = 16825/13"], "final_answer": "16825/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 33779 = 40(x - 2117) + 67984", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33779, \"b\": 40, \"c\": 2117, \"d\": 67984}", "seed": "10253883379246659966", "semantic_fingerprint": "sha256:fbf03b8d187f313efd3da513e50d80f98c62b43394e03454539993d3c404ba27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004096", "prompt": "Compute: -1486 - (1090 * 1813 - 1548)", "solution_steps": ["Multiply: 1090 * 1813 = 1976170", "Subtract: 1976170 - 1548 = 1974622", "Subtract: -1486 - 1974622 = -1976108"], "final_answer": "-1976108", "answer_type": "integer", "kind": "expression", "math_text": "-1486 - (1090 * 1813 - 1548)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1486, \"b\": 1090, \"c\": 1813, \"d\": 1548}", "seed": "12424432827256724431", "semantic_fingerprint": "sha256:60d89138f569289462dc39afa0f1267c4b222ab3070cc15f478ce7ff2eefdc47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004097", "prompt": "What is 91713 - (-9971 - (-39029))?", "solution_steps": ["Subtract: -9971 - (-39029) = 29058", "Subtract: 91713 - 29058 = 62655"], "final_answer": "62655", "answer_type": "integer", "kind": "expression", "math_text": "91713 - (-9971 - (-39029))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91713, \"b\": -9971, \"c\": -39029}", "seed": "14100199904542236520", "semantic_fingerprint": "sha256:1368380d8342a62897f16260e888ac0c0a27ad442f13898535aef388dfe2a45b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004098", "prompt": "Compute: -7038 / (-7240)", "solution_steps": ["Divide: -7038 / (-7240) = 3519/3620"], "final_answer": "3519/3620", "answer_type": "rational", "kind": "expression", "math_text": "-7038 / (-7240)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7038, \"b\": -7240}", "seed": "10004000086032345526", "semantic_fingerprint": "sha256:2d122ff8e416641e2864952ca968503a8f0b6b74f922accaf87e98accaa2979d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004099", "prompt": "Evaluate: -2468 * (-4977 - 16294)", "solution_steps": ["Subtract: -4977 - 16294 = -21271", "Multiply: -2468 * (-21271) = 52496828"], "final_answer": "52496828", "answer_type": "integer", "kind": "expression", "math_text": "-2468 * (-4977 - 16294)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2468, \"b\": -4977, \"c\": 16294}", "seed": "1988375591352956586", "semantic_fingerprint": "sha256:dfd240c9534fa093695e1507e5a871c7e507d4186511306cc1ec89b0d4f0eaa5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004100", "prompt": "What is -4340 * 79769?", "solution_steps": ["Multiply: -4340 * 79769 = -346197460"], "final_answer": "-346197460", "answer_type": "integer", "kind": "expression", "math_text": "-4340 * 79769", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4340, \"b\": 79769}", "seed": "1745253549477091503", "semantic_fingerprint": "sha256:f2062e89664323e1dac1c5ac7d8a35152963e066ea0d04f7075e797bb9676fc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004101", "prompt": "Solve for x: 37x + 32605 = 34x", "solution_steps": ["Subtract 34x from both sides: 3x + 32605 = 0", "Subtract 32605 from both sides: 3x = -32605", "Divide both sides by 3: x = -32605/3"], "final_answer": "-32605/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x + 32605 = 34x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 32605, \"c\": 34}", "seed": "1282164462562209668", "semantic_fingerprint": "sha256:4c9a74f990be279917862abf63c41a14aa82528169e6fc52b4da28485cee09fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004102", "prompt": "Evaluate: 73955 / (-7482 - (-4210))", "solution_steps": ["Subtract: -7482 - (-4210) = -3272", "Divide: 73955 / (-3272) = -73955/3272"], "final_answer": "-73955/3272", "answer_type": "rational", "kind": "expression", "math_text": "73955 / (-7482 - (-4210))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73955, \"b\": -7482, \"c\": -4210}", "seed": "18307969012131156307", "semantic_fingerprint": "sha256:983c50631c6f4caf9c1107cacfc3cd4cca4a1beb65052b0cfd447c7965254d95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004103", "prompt": "Find x: x - 9450 = -9550", "solution_steps": ["Add 9450 to both sides: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9450 = -9550", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9450, \"c\": -9550, \"x\": -100}", "seed": "7503926898534550961", "semantic_fingerprint": "sha256:d9ba1a9fc9905e8d8cccde46053e181118e3f37f3fc4b5a2a4bbebed4bcddf49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004104", "prompt": "What value of x satisfies -17(x - 91304) + 96127 = x + 96025?", "solution_steps": ["Expand: -17x + 1552168 + 96127 = x + 96025", "Combine constants: -17x + 1648295 = x + 96025", "Subtract x from both sides: -18x + 1648295 = 96025", "Subtract 1648295 from both sides: -18x = -1552270", "Divide both sides by -18: x = 776135/9"], "final_answer": "776135/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x - 91304) + 96127 = x + 96025", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 91304, \"c\": 96127, \"d\": 96025}", "seed": "15983197131053514740", "semantic_fingerprint": "sha256:2a70be94e3dd6eba308bad5fbb94b5a97a2867744a8ebe1de1cd58a50fefce1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004105", "prompt": "Calculate: -3952 / (4095 + 36375 - (-46474))", "solution_steps": ["Add: 4095 + 36375 = 40470", "Subtract: 40470 - (-46474) = 86944", "Divide: -3952 / 86944 = -1/22"], "final_answer": "-1/22", "answer_type": "rational", "kind": "expression", "math_text": "-3952 / (4095 + 36375 - (-46474))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3952, \"b\": 4095, \"c\": 36375, \"d\": -46474}", "seed": "14907102291839018119", "semantic_fingerprint": "sha256:764e24aab6fce1e004b21c32486086fe84137f4f44d4fd9888e344fd1b41ca7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004106", "prompt": "What is -6059 * (-7549) - 4714?", "solution_steps": ["Multiply: -6059 * (-7549) = 45739391", "Subtract: 45739391 - 4714 = 45734677"], "final_answer": "45734677", "answer_type": "integer", "kind": "expression", "math_text": "-6059 * (-7549) - 4714", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6059, \"b\": -7549, \"c\": 4714}", "seed": "14119986870605067681", "semantic_fingerprint": "sha256:c34203486b7e1bd7441e7c9cc484f7497077d65f9f51283549710a7058508223", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004107", "prompt": "Evaluate: 9112 * (-37425 - (-75259))", "solution_steps": ["Subtract: -37425 - (-75259) = 37834", "Multiply: 9112 * 37834 = 344743408"], "final_answer": "344743408", "answer_type": "integer", "kind": "expression", "math_text": "9112 * (-37425 - (-75259))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9112, \"b\": -37425, \"c\": -75259}", "seed": "16372083585735738503", "semantic_fingerprint": "sha256:e0501ed868366af3b9661ab1ee02ad77c2228e212d92d61dfa966d02e1f416cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004108", "prompt": "Calculate: 65446 * (-75879)", "solution_steps": ["Multiply: 65446 * (-75879) = -4965977034"], "final_answer": "-4965977034", "answer_type": "integer", "kind": "expression", "math_text": "65446 * (-75879)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 65446, \"b\": -75879}", "seed": "2793267085432878753", "semantic_fingerprint": "sha256:9aa50aeb694f705c983cbd9ab84fffe3eb8d33c5ff4bd42bb5b48ccecf328d97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004109", "prompt": "Find x: 21x - 40494 = 14(x + 4168) - 97481", "solution_steps": ["Expand: 21x - 40494 = 14x + 58352 - 97481", "Combine constants: 21x - 40494 = 14x - 39129", "Subtract 14x from both sides: 7x - 40494 = -39129", "Add 40494 to both sides: 7x = 1365", "Divide both sides by 7: x = 195"], "final_answer": "195", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x - 40494 = 14(x + 4168) - 97481", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 40494, \"c\": 14, \"d\": 4168, \"f\": -97481, \"x\": 195}", "seed": "4846697191478224285", "semantic_fingerprint": "sha256:16a23587d889944e7b40b019cbcfe9917ebe03f2e3e2dc80463e585f14c8c44b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004110", "prompt": "Evaluate: 33273 / 5568 - (-2432)", "solution_steps": ["Divide: 33273 / 5568 = 11091/1856", "Subtract: 11091/1856 - (-2432) = 4524883/1856"], "final_answer": "4524883/1856", "answer_type": "rational", "kind": "expression", "math_text": "33273 / 5568 - (-2432)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33273, \"b\": 5568, \"c\": -2432}", "seed": "2466192236605125856", "semantic_fingerprint": "sha256:c656f0b1e0ea4595c525efab671e4a9ee8c3932d5cd066a2ef00adac31117cf2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004111", "prompt": "Calculate: -3778 - 7980", "solution_steps": ["Subtract: -3778 - 7980 = -11758"], "final_answer": "-11758", "answer_type": "integer", "kind": "expression", "math_text": "-3778 - 7980", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3778, \"b\": 7980}", "seed": "11522675378013679153", "semantic_fingerprint": "sha256:b324689f7bf8dffed3f53b3573a671cd8fd9ccdd3f4b716d419b91c1874aa880", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004112", "prompt": "Calculate: 87073 + (-5414) * (9735 * 16597)", "solution_steps": ["Multiply: 9735 * 16597 = 161571795", "Multiply: -5414 * 161571795 = -874749698130", "Add: 87073 + (-874749698130) = -874749611057"], "final_answer": "-874749611057", "answer_type": "integer", "kind": "expression", "math_text": "87073 + (-5414) * (9735 * 16597)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87073, \"b\": -5414, \"c\": 9735, \"d\": 16597}", "seed": "16084695903034539402", "semantic_fingerprint": "sha256:f2b560b26e74be827e492deb3229ff9f0c62a0bad178be03c1aa682da10128ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004113", "prompt": "Solve for x: -17(x + 9135) = 29x", "solution_steps": ["Expand: -17x - 155295 = 29x", "Subtract 29x from both sides: -46x - 155295 = 0", "Add 155295 to both sides: -46x = 155295", "Divide both sides by -46: x = -155295/46"], "final_answer": "-155295/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 9135) = 29x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9135, \"c\": 29}", "seed": "6859173694808339400", "semantic_fingerprint": "sha256:39ea8245149ceb39d511c74b6eb4b3b6d5cbc31cb61605897978919bb2896a27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004114", "prompt": "Calculate: -3102 + (2063 + (-89912))", "solution_steps": ["Add: 2063 + (-89912) = -87849", "Add: -3102 + (-87849) = -90951"], "final_answer": "-90951", "answer_type": "integer", "kind": "expression", "math_text": "-3102 + (2063 + (-89912))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3102, \"b\": 2063, \"c\": -89912}", "seed": "8181476684965206455", "semantic_fingerprint": "sha256:980c420241bfe0523faf16604c58f567c0e4cb014de928f3eb20c01186093f01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004115", "prompt": "Solve the equation x + 75211 = -31x + 77163 for x.", "solution_steps": ["Add 31x to both sides: 32x + 75211 = 77163", "Subtract 75211 from both sides: 32x = 1952", "Divide both sides by 32: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 75211 = -31x + 77163", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75211, \"b\": -31, \"d\": 77163, \"x\": 61}", "seed": "8447302825304803947", "semantic_fingerprint": "sha256:8138b027a9e2efecb92fcdb017661b68b1c9435c583c790eca618483d3ca0934", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004116", "prompt": "Compute: -83224 * (8447 - 95366) + (-30167)", "solution_steps": ["Subtract: 8447 - 95366 = -86919", "Multiply: -83224 * (-86919) = 7233746856", "Add: 7233746856 + (-30167) = 7233716689"], "final_answer": "7233716689", "answer_type": "integer", "kind": "expression", "math_text": "-83224 * (8447 - 95366) + (-30167)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83224, \"b\": 8447, \"c\": 95366, \"d\": -30167}", "seed": "2199554590406622836", "semantic_fingerprint": "sha256:2e05031cc8c33e4af54a8b13233f5f16a134eaf3747f9dcf6eb66a25b351be52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004117", "prompt": "Calculate: 2777 - (-76577 - (2456 - 5576 / (-87193)))", "solution_steps": ["Divide: 5576 / (-87193) = -328/5129", "Subtract: 2456 - (-328/5129) = 12597152/5129", "Subtract: -76577 - 12597152/5129 = -405360585/5129", "Subtract: 2777 - (-405360585/5129) = 419603818/5129"], "final_answer": "419603818/5129", "answer_type": "rational", "kind": "expression", "math_text": "2777 - (-76577 - (2456 - 5576 / (-87193)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2777, \"b\": -76577, \"c\": 2456, \"d\": 5576, \"e\": -87193}", "seed": "10941240245107492824", "semantic_fingerprint": "sha256:3850a11b6078d44782a34fb6168efebfa32f5580a6792917208148e04ffa22d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004118", "prompt": "Solve for x: -24x + 2250 = x", "solution_steps": ["Subtract x from both sides: -25x + 2250 = 0", "Subtract 2250 from both sides: -25x = -2250", "Divide both sides by -25: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x + 2250 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"c\": 2250, \"x\": 90}", "seed": "16257386030633138327", "semantic_fingerprint": "sha256:251a81ab9cc9f6cf493958a559e1473348b57fb6fa296f6304a9c13573d9fc77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004119", "prompt": "Compute: 6671 + (-16876) + (-9508 - (-2719))", "solution_steps": ["Add: 6671 + (-16876) = -10205", "Subtract: -9508 - (-2719) = -6789", "Add: -10205 + (-6789) = -16994"], "final_answer": "-16994", "answer_type": "integer", "kind": "expression", "math_text": "6671 + (-16876) + (-9508 - (-2719))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6671, \"b\": -16876, \"c\": -9508, \"d\": -2719}", "seed": "5711212985226647093", "semantic_fingerprint": "sha256:b43272c679814b70ea6689a57eed312e4810e291558d910023d43ba887bccfeb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004120", "prompt": "Evaluate: 4494 / 7788", "solution_steps": ["Divide: 4494 / 7788 = 749/1298"], "final_answer": "749/1298", "answer_type": "rational", "kind": "expression", "math_text": "4494 / 7788", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4494, \"b\": 7788}", "seed": "14340019313647851772", "semantic_fingerprint": "sha256:e5c9fa9b5cfe7136b89d0967f204a8b5517566043404de7b0ea09e03921970ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004121", "prompt": "What is -3335 / (-7577 - (9611 - 55283)) * (-5712 - 9915)?", "solution_steps": ["Subtract: 9611 - 55283 = -45672", "Subtract: -7577 - (-45672) = 38095", "Divide: -3335 / 38095 = -667/7619", "Subtract: -5712 - 9915 = -15627", "Multiply: (-667/7619) * (-15627) = 10423209/7619"], "final_answer": "10423209/7619", "answer_type": "rational", "kind": "expression", "math_text": "-3335 / (-7577 - (9611 - 55283)) * (-5712 - 9915)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3335, \"b\": -7577, \"c\": 9611, \"d\": 55283, \"e\": -5712, \"f\": 9915}", "seed": "308293540513904348", "semantic_fingerprint": "sha256:4fdf0db30d0863a6958ec95d8a8083ef41178b860548a03880ffa5287be4b0f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004122", "prompt": "Solve for x: 17(x - 7710) + 2329 = x + 5429", "solution_steps": ["Expand: 17x - 131070 + 2329 = x + 5429", "Combine constants: 17x - 128741 = x + 5429", "Subtract x from both sides: 16x - 128741 = 5429", "Add 128741 to both sides: 16x = 134170", "Divide both sides by 16: x = 67085/8"], "final_answer": "67085/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 7710) + 2329 = x + 5429", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7710, \"c\": 2329, \"d\": 5429}", "seed": "10401539468123941732", "semantic_fingerprint": "sha256:2e86bcadd3a287dcc183135d88f4a686304c08789f62850de90578dcf1b7f4ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004123", "prompt": "What value of x satisfies x = 19x + 53125?", "solution_steps": ["Subtract 19x from both sides: -18x = 53125", "Divide both sides by -18: x = -53125/18"], "final_answer": "-53125/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 19x + 53125", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 53125}", "seed": "1066709633239866216", "semantic_fingerprint": "sha256:2e013aca8d7827bae5233da41673c97bbc0264b12d05f9883bc99610048e332a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004124", "prompt": "What is (6797 - (-2012)) * 2409?", "solution_steps": ["Subtract: 6797 - (-2012) = 8809", "Multiply: 8809 * 2409 = 21220881"], "final_answer": "21220881", "answer_type": "integer", "kind": "expression", "math_text": "(6797 - (-2012)) * 2409", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6797, \"b\": -2012, \"c\": 2409}", "seed": "17454267144752407349", "semantic_fingerprint": "sha256:325cec9b6e650e536791e6fc699d555e27d5f54b6f34812ddd6a3b8422325711", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004125", "prompt": "Compute: 8893 + 82835 + (-6652)", "solution_steps": ["Add: 8893 + 82835 = 91728", "Add: 91728 + (-6652) = 85076"], "final_answer": "85076", "answer_type": "integer", "kind": "expression", "math_text": "8893 + 82835 + (-6652)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8893, \"b\": 82835, \"c\": -6652}", "seed": "11214892435907187554", "semantic_fingerprint": "sha256:0210c2f0d30f9bbf951094974c60bc8b043972f91469ba403db84a0913649801", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004126", "prompt": "Compute: -83808 * (-3030 + (-28989)) + (-5146)", "solution_steps": ["Add: -3030 + (-28989) = -32019", "Multiply: -83808 * (-32019) = 2683448352", "Add: 2683448352 + (-5146) = 2683443206"], "final_answer": "2683443206", "answer_type": "integer", "kind": "expression", "math_text": "-83808 * (-3030 + (-28989)) + (-5146)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83808, \"b\": -3030, \"c\": -28989, \"d\": -5146}", "seed": "17636331681988588716", "semantic_fingerprint": "sha256:c9b64aff03eac697df62e7285206c523ddbfd348179e6ef3cb0bc97fdc999176", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004127", "prompt": "Calculate: 16692 + 6055", "solution_steps": ["Add: 16692 + 6055 = 22747"], "final_answer": "22747", "answer_type": "integer", "kind": "expression", "math_text": "16692 + 6055", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16692, \"b\": 6055}", "seed": "15577041935987620149", "semantic_fingerprint": "sha256:0a920a7f92bd23daa1b02aa23aa67e2f1b5c7d98a26bd6513e166e00a31c73cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004128", "prompt": "Calculate: 13542 - (5387 + 6164)", "solution_steps": ["Add: 5387 + 6164 = 11551", "Subtract: 13542 - 11551 = 1991"], "final_answer": "1991", "answer_type": "integer", "kind": "expression", "math_text": "13542 - (5387 + 6164)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13542, \"b\": 5387, \"c\": 6164}", "seed": "9495337112362338803", "semantic_fingerprint": "sha256:4a762468131e46f3a54e5483953bd1a276340650a8e62c08574affe797dc8d2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004129", "prompt": "Evaluate: 91077 / (-1350) - (-9106)", "solution_steps": ["Divide: 91077 / (-1350) = -30359/450", "Subtract: -30359/450 - (-9106) = 4067341/450"], "final_answer": "4067341/450", "answer_type": "rational", "kind": "expression", "math_text": "91077 / (-1350) - (-9106)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91077, \"b\": -1350, \"c\": -9106}", "seed": "5357913557333046559", "semantic_fingerprint": "sha256:66c58377260f18abd594cbdd139744b00e4310b749aedcc8f19c708aba2de49c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004130", "prompt": "What value of x satisfies -15(x - 48511) = 37(x - 9477) + 2549?", "solution_steps": ["Expand: -15x + 727665 = 37(x - 9477) + 2549", "Expand: -15x + 727665 = 37x - 350649 + 2549", "Combine constants: -15x + 727665 = 37x - 348100", "Subtract 37x from both sides: -52x + 727665 = -348100", "Subtract 727665 from both sides: -52x = -1075765", "Divide both sides by -52: x = 1075765/52"], "final_answer": "1075765/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 48511) = 37(x - 9477) + 2549", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 48511, \"c\": 37, \"d\": 9477, \"e\": 2549}", "seed": "10563711811731067977", "semantic_fingerprint": "sha256:739c8634b9138593b99defdfb4dba5ed700786342144686a0bf5161e4afbd638", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004131", "prompt": "Calculate: (-3467 + (-7914)) * (9245 + (-7782))", "solution_steps": ["Add: -3467 + (-7914) = -11381", "Add: 9245 + (-7782) = 1463", "Multiply: -11381 * 1463 = -16650403"], "final_answer": "-16650403", "answer_type": "integer", "kind": "expression", "math_text": "(-3467 + (-7914)) * (9245 + (-7782))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3467, \"b\": -7914, \"c\": 9245, \"d\": -7782}", "seed": "13744283276300280865", "semantic_fingerprint": "sha256:1bac0ff145d54419fb55672f12ad38824f79f7a7069687b2dca29077a5072389", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004132", "prompt": "Evaluate: -8578 + (9089 + 9822) - (-8212 + 9307)", "solution_steps": ["Add: 9089 + 9822 = 18911", "Add: -8578 + 18911 = 10333", "Add: -8212 + 9307 = 1095", "Subtract: 10333 - 1095 = 9238"], "final_answer": "9238", "answer_type": "integer", "kind": "expression", "math_text": "-8578 + (9089 + 9822) - (-8212 + 9307)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8578, \"b\": 9089, \"c\": 9822, \"d\": -8212, \"e\": 9307}", "seed": "898576453001890128", "semantic_fingerprint": "sha256:6f6749e324667b38342201a016e45d4530f273454f69b02a8c0bdf8d44203415", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004133", "prompt": "Compute: -25538 * (-61571)", "solution_steps": ["Multiply: -25538 * (-61571) = 1572400198"], "final_answer": "1572400198", "answer_type": "integer", "kind": "expression", "math_text": "-25538 * (-61571)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -25538, \"b\": -61571}", "seed": "8815823120199065027", "semantic_fingerprint": "sha256:53628e70b7cc18e5a82fd0547881b16e657f91ba07735a49d3b8d84daf458cfe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004134", "prompt": "Compute: 7681 / 7268", "solution_steps": ["Divide: 7681 / 7268 = 7681/7268"], "final_answer": "7681/7268", "answer_type": "rational", "kind": "expression", "math_text": "7681 / 7268", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7681, \"b\": 7268}", "seed": "7832243871992972318", "semantic_fingerprint": "sha256:5e733694d530cf0c0ff43ffd86f85b00ffca371e4af1e7bcf7fe1bdd8a15bd15", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004135", "prompt": "Calculate: -49372 / 8173", "solution_steps": ["Divide: -49372 / 8173 = -49372/8173"], "final_answer": "-49372/8173", "answer_type": "rational", "kind": "expression", "math_text": "-49372 / 8173", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49372, \"b\": 8173}", "seed": "2473481917122701036", "semantic_fingerprint": "sha256:04a4e577eea53413dd5a847dd4957e6a30a75721ce13d86a63286c1d71d93947", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004136", "prompt": "Solve the equation x + 1560 = 31x for x.", "solution_steps": ["Subtract 31x from both sides: -30x + 1560 = 0", "Subtract 1560 from both sides: -30x = -1560", "Divide both sides by -30: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1560 = 31x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 1560, \"x\": 52}", "seed": "17950653961057033127", "semantic_fingerprint": "sha256:4e94015cb23e7ddfd4d3bf8307f18b735e2da99b20f5b3ac7bb399c1173aa213", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004137", "prompt": "Find x: -38(x - 2183) = 36x", "solution_steps": ["Expand: -38x + 82954 = 36x", "Subtract 36x from both sides: -74x + 82954 = 0", "Subtract 82954 from both sides: -74x = -82954", "Divide both sides by -74: x = 1121"], "final_answer": "1121", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38(x - 2183) = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 2183, \"c\": 36}", "seed": "5168013549638668158", "semantic_fingerprint": "sha256:330b129fdea78a9591dfba44314354aa87c1edd1024826bf653beccd903d48cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004138", "prompt": "What is 5917 + (-7495) / (-7455 + 6694)?", "solution_steps": ["Add: -7455 + 6694 = -761", "Divide: -7495 / (-761) = 7495/761", "Add: 5917 + 7495/761 = 4510332/761"], "final_answer": "4510332/761", "answer_type": "rational", "kind": "expression", "math_text": "5917 + (-7495) / (-7455 + 6694)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5917, \"b\": -7495, \"c\": -7455, \"d\": 6694}", "seed": "15925342766173352700", "semantic_fingerprint": "sha256:4603f4b833ab03910cbec5eca311b769d0110d21946e368529ab0e18e703e351", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004139", "prompt": "What is 8778 * (-9215) - (-6841)?", "solution_steps": ["Multiply: 8778 * (-9215) = -80889270", "Subtract: -80889270 - (-6841) = -80882429"], "final_answer": "-80882429", "answer_type": "integer", "kind": "expression", "math_text": "8778 * (-9215) - (-6841)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8778, \"b\": -9215, \"c\": -6841}", "seed": "15482905732027605383", "semantic_fingerprint": "sha256:5477b5a37a8f4d60b9f92d7029b5360477620420be17c0161e1f737e2129cd45", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004140", "prompt": "Compute: -99339 * (-9509 - (75975 - 7863))", "solution_steps": ["Subtract: 75975 - 7863 = 68112", "Subtract: -9509 - 68112 = -77621", "Multiply: -99339 * (-77621) = 7710792519"], "final_answer": "7710792519", "answer_type": "integer", "kind": "expression", "math_text": "-99339 * (-9509 - (75975 - 7863))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -99339, \"b\": -9509, \"c\": 75975, \"d\": 7863}", "seed": "12263892368124455590", "semantic_fingerprint": "sha256:31007c2e1f7f3c36764030d3072dc5494a7c29a4fdf957650f80bb9136d26493", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004141", "prompt": "What is 49134 * 6086 + 2135 * (64467 + (-8025))?", "solution_steps": ["Multiply: 49134 * 6086 = 299029524", "Add: 64467 + (-8025) = 56442", "Multiply: 2135 * 56442 = 120503670", "Add: 299029524 + 120503670 = 419533194"], "final_answer": "419533194", "answer_type": "integer", "kind": "expression", "math_text": "49134 * 6086 + 2135 * (64467 + (-8025))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 49134, \"b\": 6086, \"c\": 2135, \"d\": 64467, \"e\": -8025}", "seed": "17223858670716378882", "semantic_fingerprint": "sha256:7438ce6eb432c04d269fd23e3d87c2a3a2e801f7bfdcb63d40be744255c0eb89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004142", "prompt": "What is 1084 * (-3379) * (-6475)?", "solution_steps": ["Multiply: 1084 * (-3379) = -3662836", "Multiply: -3662836 * (-6475) = 23716863100"], "final_answer": "23716863100", "answer_type": "integer", "kind": "expression", "math_text": "1084 * (-3379) * (-6475)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1084, \"b\": -3379, \"c\": -6475}", "seed": "9192141248332030670", "semantic_fingerprint": "sha256:a54b879b17c8d650195d8023f50a480b99f6263d0df142b8144cf8fd29ad95e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004143", "prompt": "Calculate: 40388 + (-8632)", "solution_steps": ["Add: 40388 + (-8632) = 31756"], "final_answer": "31756", "answer_type": "integer", "kind": "expression", "math_text": "40388 + (-8632)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 40388, \"b\": -8632}", "seed": "4805369055002785020", "semantic_fingerprint": "sha256:cc1e30bbd44cfe3523beb84c19cb7ad70784e5a2427d36c661ed215e2b150e7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004144", "prompt": "Compute: -6518 * (-5563 + 5427) + (-49118) * (-1176 / 68084)", "solution_steps": ["Add: -5563 + 5427 = -136", "Multiply: -6518 * (-136) = 886448", "Divide: -1176 / 68084 = -294/17021", "Multiply: -49118 * (-294/17021) = 14440692/17021", "Add: 886448 + 14440692/17021 = 15102672100/17021"], "final_answer": "15102672100/17021", "answer_type": "rational", "kind": "expression", "math_text": "-6518 * (-5563 + 5427) + (-49118) * (-1176 / 68084)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6518, \"b\": -5563, \"c\": 5427, \"d\": -49118, \"e\": -1176, \"f\": 68084}", "seed": "11330533498076122789", "semantic_fingerprint": "sha256:dca046501e1fbf5a339abd2131c35a2337140eb0e6f2b72eeee1e0629c93979f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004145", "prompt": "Compute: 9744 / 83314 + (18728 - (-35488))", "solution_steps": ["Divide: 9744 / 83314 = 696/5951", "Subtract: 18728 - (-35488) = 54216", "Add: 696/5951 + 54216 = 322640112/5951"], "final_answer": "322640112/5951", "answer_type": "rational", "kind": "expression", "math_text": "9744 / 83314 + (18728 - (-35488))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9744, \"b\": 83314, \"c\": 18728, \"d\": -35488}", "seed": "5520015333936318278", "semantic_fingerprint": "sha256:30fa566de96381b7f92d62714b8077fef7206501d1fe1a52f9778656a4570a4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004146", "prompt": "Solve the equation -16(x + 55453) = -26x for x.", "solution_steps": ["Expand: -16x - 887248 = -26x", "Add 26x to both sides: 10x - 887248 = 0", "Add 887248 to both sides: 10x = 887248", "Divide both sides by 10: x = 443624/5"], "final_answer": "443624/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 55453) = -26x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 55453, \"c\": -26}", "seed": "11698627477690174313", "semantic_fingerprint": "sha256:e8efd52c67388f717955b7b6805d9004768d51f0b238a2c470551f2d11dea8d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004147", "prompt": "Solve for x: 37(x - 5727) = -38(x + 6056) + 57331", "solution_steps": ["Expand: 37x - 211899 = -38(x + 6056) + 57331", "Expand: 37x - 211899 = -38x - 230128 + 57331", "Combine constants: 37x - 211899 = -38x - 172797", "Add 38x to both sides: 75x - 211899 = -172797", "Add 211899 to both sides: 75x = 39102", "Divide both sides by 75: x = 13034/25"], "final_answer": "13034/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 5727) = -38(x + 6056) + 57331", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 5727, \"c\": -38, \"d\": 6056, \"e\": 57331}", "seed": "11655046623945547410", "semantic_fingerprint": "sha256:3d09ff67461a9100f90474ee90a8156769d48f31cb35dc48e8130fd5841c19f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004148", "prompt": "Solve for x: -19(x - 5953) = -27x", "solution_steps": ["Expand: -19x + 113107 = -27x", "Add 27x to both sides: 8x + 113107 = 0", "Subtract 113107 from both sides: 8x = -113107", "Divide both sides by 8: x = -113107/8"], "final_answer": "-113107/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 5953) = -27x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 5953, \"c\": -27}", "seed": "6282019891944786819", "semantic_fingerprint": "sha256:a774cf9353d24f5f411bb51f4a3e3fd6405216dea5dc5dd76f8c1e9103c1f334", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004149", "prompt": "What is -23246 / (-6594 - (-5925 - (-1789)))?", "solution_steps": ["Subtract: -5925 - (-1789) = -4136", "Subtract: -6594 - (-4136) = -2458", "Divide: -23246 / (-2458) = 11623/1229"], "final_answer": "11623/1229", "answer_type": "rational", "kind": "expression", "math_text": "-23246 / (-6594 - (-5925 - (-1789)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23246, \"b\": -6594, \"c\": -5925, \"d\": -1789}", "seed": "7729441959069122826", "semantic_fingerprint": "sha256:55accd884813221ad4040e78dd94be95bbba79fdef735d366df7512cb779cd0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004150", "prompt": "Solve the equation x - 6315 = 14x + 7375 for x.", "solution_steps": ["Subtract 14x from both sides: -13x - 6315 = 7375", "Add 6315 to both sides: -13x = 13690", "Divide both sides by -13: x = -13690/13"], "final_answer": "-13690/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6315 = 14x + 7375", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6315, \"b\": 14, \"c\": 7375}", "seed": "11448292762939600631", "semantic_fingerprint": "sha256:16a58bf080911f35ba003026043669096bc3ce6afc021800acb71ab5c99903c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004151", "prompt": "What is -50085 * (-1605) - (2210 - (-68244))?", "solution_steps": ["Multiply: -50085 * (-1605) = 80386425", "Subtract: 2210 - (-68244) = 70454", "Subtract: 80386425 - 70454 = 80315971"], "final_answer": "80315971", "answer_type": "integer", "kind": "expression", "math_text": "-50085 * (-1605) - (2210 - (-68244))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -50085, \"b\": -1605, \"c\": 2210, \"d\": -68244}", "seed": "3610502379352549994", "semantic_fingerprint": "sha256:03b434cc7bcc3bd3810e769ff60b0468ad5f954fae30a5892dde66a92b4bc32c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004152", "prompt": "Evaluate: -2692 / 88714", "solution_steps": ["Divide: -2692 / 88714 = -1346/44357"], "final_answer": "-1346/44357", "answer_type": "rational", "kind": "expression", "math_text": "-2692 / 88714", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2692, \"b\": 88714}", "seed": "4267026952607220709", "semantic_fingerprint": "sha256:5683e8b94077f3bf44cf2f3085e259c60e373e3b84438f584b9732a64a024cb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004153", "prompt": "Find x: x + 72559 = -21(x + 56134) + 2306", "solution_steps": ["Expand: x + 72559 = -21x - 1178814 + 2306", "Combine constants: x + 72559 = -21x - 1176508", "Add 21x to both sides: 22x + 72559 = -1176508", "Subtract 72559 from both sides: 22x = -1249067", "Divide both sides by 22: x = -1249067/22"], "final_answer": "-1249067/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 72559 = -21(x + 56134) + 2306", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 72559, \"b\": -21, \"c\": 56134, \"d\": 2306}", "seed": "8006805968375745169", "semantic_fingerprint": "sha256:938c383d18c307bba28344f64fb64d171c9e63ee702308f29d3ac5aa6cca8d34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004154", "prompt": "What is (-88301 + (-87700)) * 2030?", "solution_steps": ["Add: -88301 + (-87700) = -176001", "Multiply: -176001 * 2030 = -357282030"], "final_answer": "-357282030", "answer_type": "integer", "kind": "expression", "math_text": "(-88301 + (-87700)) * 2030", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88301, \"b\": -87700, \"c\": 2030}", "seed": "13856450395978870993", "semantic_fingerprint": "sha256:95afff7e9e0819c1f762efcd60e85e20fc0b4a60a9b2cad9163fff5b359d3895", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004155", "prompt": "Find x: x + 57273 = -19x + 55253", "solution_steps": ["Add 19x to both sides: 20x + 57273 = 55253", "Subtract 57273 from both sides: 20x = -2020", "Divide both sides by 20: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 57273 = -19x + 55253", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 57273, \"b\": -19, \"d\": 55253, \"x\": -101}", "seed": "3222589433123104422", "semantic_fingerprint": "sha256:42034d01499f93e3cda625c6a772dee24865d3c8e868ed65b5d09d803c579d39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004156", "prompt": "What is -1984 + 6332?", "solution_steps": ["Add: -1984 + 6332 = 4348"], "final_answer": "4348", "answer_type": "integer", "kind": "expression", "math_text": "-1984 + 6332", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1984, \"b\": 6332}", "seed": "8626220515967248119", "semantic_fingerprint": "sha256:da7e65b1f1f8bb077058c991afda7aace50263ce434ecde5636b3b0555faf3b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004157", "prompt": "What is (1821 - (-1023 + 2297) - 3978) * 53177 * 3445?", "solution_steps": ["Add: -1023 + 2297 = 1274", "Subtract: 1821 - 1274 = 547", "Subtract: 547 - 3978 = -3431", "Multiply: -3431 * 53177 = -182450287", "Multiply: -182450287 * 3445 = -628541238715"], "final_answer": "-628541238715", "answer_type": "integer", "kind": "expression", "math_text": "(1821 - (-1023 + 2297) - 3978) * 53177 * 3445", "variable": null, "family": "expression_5op", "shape": "(* (* (- (- n (+ n n)) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1821, \"b\": -1023, \"c\": 2297, \"d\": 3978, \"e\": 53177, \"f\": 3445}", "seed": "10437216068219568267", "semantic_fingerprint": "sha256:dadd847ce944077a5290b40e06c53b59b8d2d0e29e05c6c1564f1e97f472bd46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004158", "prompt": "Solve the equation -17x - 3546 = x for x.", "solution_steps": ["Subtract x from both sides: -18x - 3546 = 0", "Add 3546 to both sides: -18x = 3546", "Divide both sides by -18: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x - 3546 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"c\": -3546, \"x\": -197}", "seed": "17471576539226186432", "semantic_fingerprint": "sha256:300942419d9b97322dfe294792797315e0fc9e06ee81529e5a4c726f00da2c8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004159", "prompt": "What is -71557 + 5810 * 68100 + (-2883)?", "solution_steps": ["Multiply: 5810 * 68100 = 395661000", "Add: -71557 + 395661000 = 395589443", "Add: 395589443 + (-2883) = 395586560"], "final_answer": "395586560", "answer_type": "integer", "kind": "expression", "math_text": "-71557 + 5810 * 68100 + (-2883)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71557, \"b\": 5810, \"c\": 68100, \"d\": -2883}", "seed": "319294518102057643", "semantic_fingerprint": "sha256:a39147764d76d7594180d3bca871dd9ba8e85d52b0f71577e196196e9c611d20", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004160", "prompt": "Solve the equation 26x + 28406 = 23(x + 1213) for x.", "solution_steps": ["Expand: 26x + 28406 = 23x + 27899", "Subtract 23x from both sides: 3x + 28406 = 27899", "Subtract 28406 from both sides: 3x = -507", "Divide both sides by 3: x = -169"], "final_answer": "-169", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 28406 = 23(x + 1213)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 23, \"c\": 1213, \"e\": 28406, \"x\": -169}", "seed": "3884352774690832094", "semantic_fingerprint": "sha256:a0a792e3eb279fd253669237a35e27e04b6ed2840526936131be04b2930ea88f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004161", "prompt": "Compute: 13477 / 87893 * (-5972)", "solution_steps": ["Divide: 13477 / 87893 = 13477/87893", "Multiply: (13477/87893) * (-5972) = -80484644/87893"], "final_answer": "-80484644/87893", "answer_type": "rational", "kind": "expression", "math_text": "13477 / 87893 * (-5972)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13477, \"b\": 87893, \"c\": -5972}", "seed": "16054803348954801044", "semantic_fingerprint": "sha256:ade9b2ef3a4c71fad069bae6c934f3a5a5f8f384fcb65db1f30802c03590cc48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004162", "prompt": "Evaluate: 7750 + 3380 + (-58626) / (-3114)", "solution_steps": ["Add: 7750 + 3380 = 11130", "Divide: -58626 / (-3114) = 3257/173", "Add: 11130 + 3257/173 = 1928747/173"], "final_answer": "1928747/173", "answer_type": "rational", "kind": "expression", "math_text": "7750 + 3380 + (-58626) / (-3114)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7750, \"b\": 3380, \"c\": -58626, \"d\": -3114}", "seed": "2582186755697722035", "semantic_fingerprint": "sha256:8af02e0d788cd69ba64bb4347a1f4a2fbbfdc6b681a2e433b1c994e49a720789", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004163", "prompt": "Evaluate: -8934 / (-55387 - (-3111))", "solution_steps": ["Subtract: -55387 - (-3111) = -52276", "Divide: -8934 / (-52276) = 4467/26138"], "final_answer": "4467/26138", "answer_type": "rational", "kind": "expression", "math_text": "-8934 / (-55387 - (-3111))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8934, \"b\": -55387, \"c\": -3111}", "seed": "11521155884348424958", "semantic_fingerprint": "sha256:067f9dda2b8514bd7c575d4be6a76741723218fc724111ba2c62da0151553cbd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004164", "prompt": "What value of x satisfies x = -31x - 1440?", "solution_steps": ["Add 31x to both sides: 32x = -1440", "Divide both sides by 32: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -31x - 1440", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31, \"c\": -1440, \"x\": -45}", "seed": "16873778293236684357", "semantic_fingerprint": "sha256:8685a6fef6ba3d8d50cbda6dd3599193bc1312da652a15c8f7c3bd378c129ea2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004165", "prompt": "Solve for x: 20(x + 7702) = -23(x - 98249) - 2963", "solution_steps": ["Expand: 20x + 154040 = -23(x - 98249) - 2963", "Expand: 20x + 154040 = -23x + 2259727 - 2963", "Combine constants: 20x + 154040 = -23x + 2256764", "Add 23x to both sides: 43x + 154040 = 2256764", "Subtract 154040 from both sides: 43x = 2102724", "Divide both sides by 43: x = 2102724/43"], "final_answer": "2102724/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 7702) = -23(x - 98249) - 2963", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 7702, \"c\": -23, \"d\": 98249, \"e\": 2963}", "seed": "13021739436773851682", "semantic_fingerprint": "sha256:953dd922a9899a71c0650dc4dacdf5baaf78665579dbed944eadb9e584c8e4f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004166", "prompt": "Calculate: -8490 * (-88229) + (8214 + 9775)", "solution_steps": ["Multiply: -8490 * (-88229) = 749064210", "Add: 8214 + 9775 = 17989", "Add: 749064210 + 17989 = 749082199"], "final_answer": "749082199", "answer_type": "integer", "kind": "expression", "math_text": "-8490 * (-88229) + (8214 + 9775)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8490, \"b\": -88229, \"c\": 8214, \"d\": 9775}", "seed": "3272316876125974291", "semantic_fingerprint": "sha256:0cf853bd2529ad0fdee5f5ea609bcd0601ad0a9593215baee92674750b9b3957", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004167", "prompt": "Compute: 43266 + 7371", "solution_steps": ["Add: 43266 + 7371 = 50637"], "final_answer": "50637", "answer_type": "integer", "kind": "expression", "math_text": "43266 + 7371", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43266, \"b\": 7371}", "seed": "3432921735202248596", "semantic_fingerprint": "sha256:fe739d6d0df5768e21d2edd71daf76f22027d96c232cfa973ac3c0204bbe622e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004168", "prompt": "What value of x satisfies -26x = x - 1053?", "solution_steps": ["Subtract x from both sides: -27x = -1053", "Divide both sides by -27: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x = x - 1053", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"c\": -1053, \"x\": 39}", "seed": "6564353598487508867", "semantic_fingerprint": "sha256:76fa2fe773d8048023c75ede00616f309148e113ab4cc43a21d752a44ec1009b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004169", "prompt": "What is 1010 / (-5404 - (-19259))?", "solution_steps": ["Subtract: -5404 - (-19259) = 13855", "Divide: 1010 / 13855 = 202/2771"], "final_answer": "202/2771", "answer_type": "rational", "kind": "expression", "math_text": "1010 / (-5404 - (-19259))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1010, \"b\": -5404, \"c\": -19259}", "seed": "14460806785103787653", "semantic_fingerprint": "sha256:9ae8fc97bc6e06fd95b0922a267dfd2508b7e5b5ee56553c69e275fd7785eadc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004170", "prompt": "Evaluate: 60652 + (-3639 / (-7752) + 2447)", "solution_steps": ["Divide: -3639 / (-7752) = 1213/2584", "Add: 1213/2584 + 2447 = 6324261/2584", "Add: 60652 + 6324261/2584 = 163049029/2584"], "final_answer": "163049029/2584", "answer_type": "rational", "kind": "expression", "math_text": "60652 + (-3639 / (-7752) + 2447)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60652, \"b\": -3639, \"c\": -7752, \"d\": 2447}", "seed": "7550633045275532070", "semantic_fingerprint": "sha256:0161e820d69a31be9a4e7b224accf65cd80e92f72d5008024bc3213a5320b5d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004171", "prompt": "What is 94838 / (-6713) - (78462 + (4697 - (-4254)))?", "solution_steps": ["Divide: 94838 / (-6713) = -94838/6713", "Subtract: 4697 - (-4254) = 8951", "Add: 78462 + 8951 = 87413", "Subtract: -94838/6713 - 87413 = -586898307/6713"], "final_answer": "-586898307/6713", "answer_type": "rational", "kind": "expression", "math_text": "94838 / (-6713) - (78462 + (4697 - (-4254)))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94838, \"b\": -6713, \"c\": 78462, \"d\": 4697, \"e\": -4254}", "seed": "15054982935375542916", "semantic_fingerprint": "sha256:b5768b111519eeb1e97cd4a11359ddb13cf47f80f9b51a7c703a5e1f00e6ab63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004172", "prompt": "Calculate: -76391 / (-36724)", "solution_steps": ["Divide: -76391 / (-36724) = 76391/36724"], "final_answer": "76391/36724", "answer_type": "rational", "kind": "expression", "math_text": "-76391 / (-36724)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76391, \"b\": -36724}", "seed": "18020978258633961521", "semantic_fingerprint": "sha256:52b0d00ba311fd24686ff0e5ad1725aa9e08ab01d821ea1e92afe760e72f96f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004173", "prompt": "What is 54208 / (7188 / (-5078))?", "solution_steps": ["Divide: 7188 / (-5078) = -3594/2539", "Divide: 54208 / (-3594/2539) = -68817056/1797"], "final_answer": "-68817056/1797", "answer_type": "rational", "kind": "expression", "math_text": "54208 / (7188 / (-5078))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54208, \"b\": 7188, \"c\": -5078}", "seed": "13157429775817107023", "semantic_fingerprint": "sha256:5dd598091439335fbab6dad80e923a376095be1c3c971f7f6564180aa0279173", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004174", "prompt": "Evaluate: 2118 - 6464 + 4264", "solution_steps": ["Subtract: 2118 - 6464 = -4346", "Add: -4346 + 4264 = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "expression", "math_text": "2118 - 6464 + 4264", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2118, \"b\": 6464, \"c\": 4264}", "seed": "17769820510575961927", "semantic_fingerprint": "sha256:f3f44a5f3d28da1dd8765ac625597b6555d1cd534af0fa9c290d3efd6d22871a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004175", "prompt": "What value of x satisfies 34x - 31550 = 30x + 9656?", "solution_steps": ["Subtract 30x from both sides: 4x - 31550 = 9656", "Add 31550 to both sides: 4x = 41206", "Divide both sides by 4: x = 20603/2"], "final_answer": "20603/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x - 31550 = 30x + 9656", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 31550, \"c\": 30, \"d\": 9656}", "seed": "2185077108308789325", "semantic_fingerprint": "sha256:fd984aeb561adf7f8daf3c81c9517dcc77578445efee39bd2f49888a69aa21f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004176", "prompt": "Solve the equation x - 4682 = 26x - 2557 for x.", "solution_steps": ["Subtract 26x from both sides: -25x - 4682 = -2557", "Add 4682 to both sides: -25x = 2125", "Divide both sides by -25: x = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4682 = 26x - 2557", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4682, \"b\": 26, \"d\": -2557, \"x\": -85}", "seed": "11551273970372965649", "semantic_fingerprint": "sha256:bffea09a2f9498f5fd3fc5bed28827e9f61295ee3b16cba8626a7d773d5edb82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004177", "prompt": "Compute: 99334 * (-5077) - (-97744)", "solution_steps": ["Multiply: 99334 * (-5077) = -504318718", "Subtract: -504318718 - (-97744) = -504220974"], "final_answer": "-504220974", "answer_type": "integer", "kind": "expression", "math_text": "99334 * (-5077) - (-97744)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99334, \"b\": -5077, \"c\": -97744}", "seed": "15700769864076524624", "semantic_fingerprint": "sha256:79945fcfb5f1ebe4a30488358dda927a5e37c6c301454f91eccbe92fbbd316c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004178", "prompt": "Compute: 10118 - (-42322) / (-84007)", "solution_steps": ["Divide: -42322 / (-84007) = 6046/12001", "Subtract: 10118 - 6046/12001 = 121420072/12001"], "final_answer": "121420072/12001", "answer_type": "rational", "kind": "expression", "math_text": "10118 - (-42322) / (-84007)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10118, \"b\": -42322, \"c\": -84007}", "seed": "618262604292095349", "semantic_fingerprint": "sha256:86126ba11fcb8cc00a3321f5427b1b62b5560d688834ef6ef243d3158be3a7b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004179", "prompt": "Compute: 21336 + (-8025) / (-7403)", "solution_steps": ["Divide: -8025 / (-7403) = 8025/7403", "Add: 21336 + 8025/7403 = 157958433/7403"], "final_answer": "157958433/7403", "answer_type": "rational", "kind": "expression", "math_text": "21336 + (-8025) / (-7403)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21336, \"b\": -8025, \"c\": -7403}", "seed": "9819563773708805118", "semantic_fingerprint": "sha256:f5f6a8ec092193868a8ddaee62379b1f4e97333b8793bede99e3e3277c8d1f99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004180", "prompt": "Compute: (90575 - 3955 + (-92706)) * 6803 * (-3785)", "solution_steps": ["Subtract: 90575 - 3955 = 86620", "Add: 86620 + (-92706) = -6086", "Multiply: -6086 * 6803 = -41403058", "Multiply: -41403058 * (-3785) = 156710574530"], "final_answer": "156710574530", "answer_type": "integer", "kind": "expression", "math_text": "(90575 - 3955 + (-92706)) * 6803 * (-3785)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 90575, \"b\": 3955, \"c\": -92706, \"d\": 6803, \"e\": -3785}", "seed": "8012450357475118213", "semantic_fingerprint": "sha256:a5ecb6fbfa7ad6af3290cfbf3e3885b0d13a64b5e7080b0939329a034f40604f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004181", "prompt": "Compute: 2645 + (-3610 + 2528 + (-54493)) + (-6259 - (-5939))", "solution_steps": ["Add: -3610 + 2528 = -1082", "Add: -1082 + (-54493) = -55575", "Add: 2645 + (-55575) = -52930", "Subtract: -6259 - (-5939) = -320", "Add: -52930 + (-320) = -53250"], "final_answer": "-53250", "answer_type": "integer", "kind": "expression", "math_text": "2645 + (-3610 + 2528 + (-54493)) + (-6259 - (-5939))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2645, \"b\": -3610, \"c\": 2528, \"d\": -54493, \"e\": -6259, \"f\": -5939}", "seed": "8079940965218456672", "semantic_fingerprint": "sha256:796b33cd3812477d113893278c2183781b030c2207203249e86ee8aae6316b4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004182", "prompt": "What value of x satisfies -36(x + 73949) = -1003?", "solution_steps": ["Expand: -36x - 2662164 = -1003", "Add 2662164 to both sides: -36x = 2661161", "Divide both sides by -36: x = -2661161/36"], "final_answer": "-2661161/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 73949) = -1003", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 73949, \"c\": -1003}", "seed": "17593787265180523632", "semantic_fingerprint": "sha256:5a0b0bea178c3c5930b177dd571f35ecefb2138680264a9419536e96d8f781bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004183", "prompt": "Compute: -5742 - (-6428) - (2598 + (-17934 + 6516))", "solution_steps": ["Subtract: -5742 - (-6428) = 686", "Add: -17934 + 6516 = -11418", "Add: 2598 + (-11418) = -8820", "Subtract: 686 - (-8820) = 9506"], "final_answer": "9506", "answer_type": "integer", "kind": "expression", "math_text": "-5742 - (-6428) - (2598 + (-17934 + 6516))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5742, \"b\": -6428, \"c\": 2598, \"d\": -17934, \"e\": 6516}", "seed": "7394871746790939754", "semantic_fingerprint": "sha256:ccf7d309f62e3e37cd3e0a724fb1eb504ed2c351c3202870c2278e3d3fd62e4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004184", "prompt": "Evaluate: 92043 * 5798", "solution_steps": ["Multiply: 92043 * 5798 = 533665314"], "final_answer": "533665314", "answer_type": "integer", "kind": "expression", "math_text": "92043 * 5798", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 92043, \"b\": 5798}", "seed": "6890765347988563527", "semantic_fingerprint": "sha256:c3e2ce40c77c5abb2891203b889840fcad803ac6d9f5adcb31ae6237e7c12177", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004185", "prompt": "Compute: 89154 * (-75777) + (-8778)", "solution_steps": ["Multiply: 89154 * (-75777) = -6755822658", "Add: -6755822658 + (-8778) = -6755831436"], "final_answer": "-6755831436", "answer_type": "integer", "kind": "expression", "math_text": "89154 * (-75777) + (-8778)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 89154, \"b\": -75777, \"c\": -8778}", "seed": "7456815498217926894", "semantic_fingerprint": "sha256:4ea84abd58a23b0e3819a60bfb0d3838d3ffc2572d65768c147b707c42894fb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004186", "prompt": "Calculate: -19565 + (-6705) + 85883", "solution_steps": ["Add: -19565 + (-6705) = -26270", "Add: -26270 + 85883 = 59613"], "final_answer": "59613", "answer_type": "integer", "kind": "expression", "math_text": "-19565 + (-6705) + 85883", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19565, \"b\": -6705, \"c\": 85883}", "seed": "4218197011114071105", "semantic_fingerprint": "sha256:9fa9d96a81c8ed249fedf9bfa42fcd98f38a98115ce60918fbf0ed73959d930d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004187", "prompt": "Solve for x: x - 1076 = 28(x + 9863)", "solution_steps": ["Expand: x - 1076 = 28x + 276164", "Subtract 28x from both sides: -27x - 1076 = 276164", "Add 1076 to both sides: -27x = 277240", "Divide both sides by -27: x = -277240/27"], "final_answer": "-277240/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1076 = 28(x + 9863)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1076, \"b\": 28, \"c\": 9863}", "seed": "7079932249734447215", "semantic_fingerprint": "sha256:6460d5693fd95c14515b9e5bbad444d283dc0c18672d58482474369cc7a8be52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004188", "prompt": "Calculate: 2848 - 37256 / (-12778 + 7978)", "solution_steps": ["Add: -12778 + 7978 = -4800", "Divide: 37256 / (-4800) = -4657/600", "Subtract: 2848 - (-4657/600) = 1713457/600"], "final_answer": "1713457/600", "answer_type": "rational", "kind": "expression", "math_text": "2848 - 37256 / (-12778 + 7978)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2848, \"b\": 37256, \"c\": -12778, \"d\": 7978}", "seed": "2079464157429822663", "semantic_fingerprint": "sha256:50032a53b1f814d26d6492a937c89dc3f0d79625b93d29d49eda86c638656cd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004189", "prompt": "Evaluate: -3583 * (-4458 + 43554)", "solution_steps": ["Add: -4458 + 43554 = 39096", "Multiply: -3583 * 39096 = -140080968"], "final_answer": "-140080968", "answer_type": "integer", "kind": "expression", "math_text": "-3583 * (-4458 + 43554)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3583, \"b\": -4458, \"c\": 43554}", "seed": "1424956671312605663", "semantic_fingerprint": "sha256:964682d8addf5e6efcabc640e1d403a623f56e7aef56bdb24c4681d5bce88e24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004190", "prompt": "Find x: 27x - 3172 = x", "solution_steps": ["Subtract x from both sides: 26x - 3172 = 0", "Add 3172 to both sides: 26x = 3172", "Divide both sides by 26: x = 122"], "final_answer": "122", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 3172 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -3172, \"x\": 122}", "seed": "2505661435448540309", "semantic_fingerprint": "sha256:1a98b3f4e0ea9bbd271ab0ea62d9f23e102765a8700667aff4d646fcf027c623", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004191", "prompt": "Find x: 36(x - 47426) = -29(x - 43603)", "solution_steps": ["Expand: 36x - 1707336 = -29(x - 43603)", "Expand: 36x - 1707336 = -29x + 1264487", "Add 29x to both sides: 65x - 1707336 = 1264487", "Add 1707336 to both sides: 65x = 2971823", "Divide both sides by 65: x = 2971823/65"], "final_answer": "2971823/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 47426) = -29(x - 43603)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 47426, \"c\": -29, \"d\": 43603}", "seed": "2765438147728467033", "semantic_fingerprint": "sha256:ce417ab5984aea7123508da15d4874bae38f72be2e7c0b8e7b9a80a55151853f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004192", "prompt": "Calculate: 99419 + 5294", "solution_steps": ["Add: 99419 + 5294 = 104713"], "final_answer": "104713", "answer_type": "integer", "kind": "expression", "math_text": "99419 + 5294", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 99419, \"b\": 5294}", "seed": "679315903570775730", "semantic_fingerprint": "sha256:b8e7c3a1adc8a3a198758e9f8c48454e389a0110298960c60e2810b1920fcdad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004193", "prompt": "Compute: -64848 / (-4957 + (-12108)) - (-93681)", "solution_steps": ["Add: -4957 + (-12108) = -17065", "Divide: -64848 / (-17065) = 64848/17065", "Subtract: 64848/17065 - (-93681) = 1598731113/17065"], "final_answer": "1598731113/17065", "answer_type": "rational", "kind": "expression", "math_text": "-64848 / (-4957 + (-12108)) - (-93681)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -64848, \"b\": -4957, \"c\": -12108, \"d\": -93681}", "seed": "11000640851848207377", "semantic_fingerprint": "sha256:3de0533b50813517c973dc30973c3de1098ea045a8477830f94c103b27f487d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004194", "prompt": "Compute: 7863 - 71421 * (-17729)", "solution_steps": ["Multiply: 71421 * (-17729) = -1266222909", "Subtract: 7863 - (-1266222909) = 1266230772"], "final_answer": "1266230772", "answer_type": "integer", "kind": "expression", "math_text": "7863 - 71421 * (-17729)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7863, \"b\": 71421, \"c\": -17729}", "seed": "14756859749041688679", "semantic_fingerprint": "sha256:c011d7d570c572dc08dfddc308aa1ca73005f48e974f566c77cb857426dc19c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004195", "prompt": "Find x: 38(x - 2242) = 13(x + 7994) - 4852", "solution_steps": ["Expand: 38x - 85196 = 13(x + 7994) - 4852", "Expand: 38x - 85196 = 13x + 103922 - 4852", "Combine constants: 38x - 85196 = 13x + 99070", "Subtract 13x from both sides: 25x - 85196 = 99070", "Add 85196 to both sides: 25x = 184266", "Divide both sides by 25: x = 184266/25"], "final_answer": "184266/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 2242) = 13(x + 7994) - 4852", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 2242, \"c\": 13, \"d\": 7994, \"e\": 4852}", "seed": "844320384653860906", "semantic_fingerprint": "sha256:488ee07bb9b25994004ba30d421c084619dee9aaa4790cc881b07be42fd6929d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004196", "prompt": "What is 9911 - (-1630 + (-45175))?", "solution_steps": ["Add: -1630 + (-45175) = -46805", "Subtract: 9911 - (-46805) = 56716"], "final_answer": "56716", "answer_type": "integer", "kind": "expression", "math_text": "9911 - (-1630 + (-45175))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9911, \"b\": -1630, \"c\": -45175}", "seed": "3192912383166141655", "semantic_fingerprint": "sha256:e91a4b2a40b599e8c4d0364ce4c5fb56685897989a50c52d4c72f8b93c950c29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004197", "prompt": "What is -5103 - 8920 / (-9144)?", "solution_steps": ["Divide: 8920 / (-9144) = -1115/1143", "Subtract: -5103 - (-1115/1143) = -5831614/1143"], "final_answer": "-5831614/1143", "answer_type": "rational", "kind": "expression", "math_text": "-5103 - 8920 / (-9144)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5103, \"b\": 8920, \"c\": -9144}", "seed": "7449817165058830333", "semantic_fingerprint": "sha256:3919c31997010154e5414956d5125f476af0f3757e12ebc0f0805ff9eb754dce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004198", "prompt": "Calculate: -3453 + 96938", "solution_steps": ["Add: -3453 + 96938 = 93485"], "final_answer": "93485", "answer_type": "integer", "kind": "expression", "math_text": "-3453 + 96938", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3453, \"b\": 96938}", "seed": "15447039583407124493", "semantic_fingerprint": "sha256:4bfe763912788c274661f404489ca1249a3529425636e1e19eb4de002782cc90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004199", "prompt": "Find x: -17x + 1172 = -13(x + 6997) + 92489", "solution_steps": ["Expand: -17x + 1172 = -13x - 90961 + 92489", "Combine constants: -17x + 1172 = -13x + 1528", "Add 13x to both sides: -4x + 1172 = 1528", "Subtract 1172 from both sides: -4x = 356", "Divide both sides by -4: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x + 1172 = -13(x + 6997) + 92489", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 1172, \"c\": -13, \"d\": 6997, \"f\": 92489, \"x\": -89}", "seed": "15813256188503585722", "semantic_fingerprint": "sha256:7f3ef5b520d20eec66c0ac5d1a9d4af509a80ea2a7d329820acac04f78ff3fb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004200", "prompt": "Calculate: 84371 / (-51309 + (-5240))", "solution_steps": ["Add: -51309 + (-5240) = -56549", "Divide: 84371 / (-56549) = -84371/56549"], "final_answer": "-84371/56549", "answer_type": "rational", "kind": "expression", "math_text": "84371 / (-51309 + (-5240))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84371, \"b\": -51309, \"c\": -5240}", "seed": "12408895606160347404", "semantic_fingerprint": "sha256:f25c5acfb8866c5fb23b9b5ed932137a8f515899e6e3fbc71c6c159f5a05631d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004201", "prompt": "What value of x satisfies 35x + 41565 = x - 81146?", "solution_steps": ["Subtract x from both sides: 34x + 41565 = -81146", "Subtract 41565 from both sides: 34x = -122711", "Divide both sides by 34: x = -122711/34"], "final_answer": "-122711/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x + 41565 = x - 81146", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 41565, \"c\": 81146}", "seed": "12378033309474358981", "semantic_fingerprint": "sha256:f86ea504d2f5f99cd81478c940bb677319d342f1662ee3ea261b73f3bc1caa93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004202", "prompt": "Calculate: -25439 * (-5315)", "solution_steps": ["Multiply: -25439 * (-5315) = 135208285"], "final_answer": "135208285", "answer_type": "integer", "kind": "expression", "math_text": "-25439 * (-5315)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -25439, \"b\": -5315}", "seed": "2258677301947725325", "semantic_fingerprint": "sha256:7ac4fa9f63c2e236d63ed13007f9ebde2d993e02accf6ca67993437a9ce44db8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004203", "prompt": "Calculate: -17136 * 2449 - 76136 * (-78778)", "solution_steps": ["Multiply: -17136 * 2449 = -41966064", "Multiply: 76136 * (-78778) = -5997841808", "Subtract: -41966064 - (-5997841808) = 5955875744"], "final_answer": "5955875744", "answer_type": "integer", "kind": "expression", "math_text": "-17136 * 2449 - 76136 * (-78778)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17136, \"b\": 2449, \"c\": 76136, \"d\": -78778}", "seed": "3023216672921927043", "semantic_fingerprint": "sha256:ebd58328ec643e78f4b99fe499ccddc43466e37403b33d8ef572981a84eb0ab2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004204", "prompt": "What is (-1638 - (-7608)) * 9907?", "solution_steps": ["Subtract: -1638 - (-7608) = 5970", "Multiply: 5970 * 9907 = 59144790"], "final_answer": "59144790", "answer_type": "integer", "kind": "expression", "math_text": "(-1638 - (-7608)) * 9907", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1638, \"b\": -7608, \"c\": 9907}", "seed": "13549198971860049368", "semantic_fingerprint": "sha256:30a4f45f681456dcd23bd469568aabc15c7f00a7c8622ba2b927fa9d4aacf607", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004205", "prompt": "Solve for x: 26(x - 2854) = 35(x + 7352) + 6538", "solution_steps": ["Expand: 26x - 74204 = 35(x + 7352) + 6538", "Expand: 26x - 74204 = 35x + 257320 + 6538", "Combine constants: 26x - 74204 = 35x + 263858", "Subtract 35x from both sides: -9x - 74204 = 263858", "Add 74204 to both sides: -9x = 338062", "Divide both sides by -9: x = -338062/9"], "final_answer": "-338062/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 2854) = 35(x + 7352) + 6538", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2854, \"c\": 35, \"d\": 7352, \"e\": 6538}", "seed": "8437209566210791029", "semantic_fingerprint": "sha256:5d00e944e56dcda192f725e9448c22fe266f826591047f30db46c3a67920e25e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004206", "prompt": "Solve the equation -13(x + 1507) + 1087 = x - 18882 for x.", "solution_steps": ["Expand: -13x - 19591 + 1087 = x - 18882", "Combine constants: -13x - 18504 = x - 18882", "Subtract x from both sides: -14x - 18504 = -18882", "Add 18504 to both sides: -14x = -378", "Divide both sides by -14: x = 27"], "final_answer": "27", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x + 1507) + 1087 = x - 18882", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 1507, \"c\": 1087, \"e\": -18882, \"x\": 27}", "seed": "7239314347314190077", "semantic_fingerprint": "sha256:9524bcb11be95ac2614d95bd77a6ae652a7502d947a85953b8d912d00b8ed7a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004207", "prompt": "Calculate: 95738 - (48094 - (-8839))", "solution_steps": ["Subtract: 48094 - (-8839) = 56933", "Subtract: 95738 - 56933 = 38805"], "final_answer": "38805", "answer_type": "integer", "kind": "expression", "math_text": "95738 - (48094 - (-8839))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95738, \"b\": 48094, \"c\": -8839}", "seed": "15243325196251114886", "semantic_fingerprint": "sha256:cac80b1e9ecc0072e0d5a00baee491612a5285ae3c884cf4a30790293718132c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004208", "prompt": "Solve the equation x = 32x - 59814 for x.", "solution_steps": ["Subtract 32x from both sides: -31x = -59814", "Divide both sides by -31: x = 59814/31"], "final_answer": "59814/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 32x - 59814", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 59814}", "seed": "5304315302048759058", "semantic_fingerprint": "sha256:d467ccaded53a9766e7a5da036cc37edb0064adf8635fc7cf14ad81d270b3df9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004209", "prompt": "Calculate: -7477 + (-3445 * 14682 + (-1688))", "solution_steps": ["Multiply: -3445 * 14682 = -50579490", "Add: -50579490 + (-1688) = -50581178", "Add: -7477 + (-50581178) = -50588655"], "final_answer": "-50588655", "answer_type": "integer", "kind": "expression", "math_text": "-7477 + (-3445 * 14682 + (-1688))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7477, \"b\": -3445, \"c\": 14682, \"d\": -1688}", "seed": "3640758329850450892", "semantic_fingerprint": "sha256:24134a72099b09f7383020344ee637c83222c2cf7407fb8638df8163d03f061e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004210", "prompt": "Calculate: 2917 * (6623 - 7512 / (-71733))", "solution_steps": ["Divide: 7512 / (-71733) = -2504/23911", "Subtract: 6623 - (-2504/23911) = 158365057/23911", "Multiply: 2917 * (158365057/23911) = 461950871269/23911"], "final_answer": "461950871269/23911", "answer_type": "rational", "kind": "expression", "math_text": "2917 * (6623 - 7512 / (-71733))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2917, \"b\": 6623, \"c\": 7512, \"d\": -71733}", "seed": "14813668547024652152", "semantic_fingerprint": "sha256:65f0551fe4c5f4443c13639f607b550e79803c1f6a72111345995510babe25a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004211", "prompt": "What value of x satisfies 25(x - 1048) = 19x?", "solution_steps": ["Expand: 25x - 26200 = 19x", "Subtract 19x from both sides: 6x - 26200 = 0", "Add 26200 to both sides: 6x = 26200", "Divide both sides by 6: x = 13100/3"], "final_answer": "13100/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 1048) = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1048, \"c\": 19}", "seed": "737432631638140966", "semantic_fingerprint": "sha256:9cbbb6b3f64931ec4ca92de676897a90fca8a83737abbdfb5188f248c3b33616", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004212", "prompt": "Evaluate: -7472 - (70343 - (-8062) * 51472)", "solution_steps": ["Multiply: -8062 * 51472 = -414967264", "Subtract: 70343 - (-414967264) = 415037607", "Subtract: -7472 - 415037607 = -415045079"], "final_answer": "-415045079", "answer_type": "integer", "kind": "expression", "math_text": "-7472 - (70343 - (-8062) * 51472)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7472, \"b\": 70343, \"c\": -8062, \"d\": 51472}", "seed": "9485822414718871066", "semantic_fingerprint": "sha256:2cb3286377f2c25a714780bfacbaebbeae750a281cf2a3eb956d308873dbd8ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004213", "prompt": "Find x: 13(x - 79948) + 79709 = 34x", "solution_steps": ["Expand: 13x - 1039324 + 79709 = 34x", "Combine constants: 13x - 959615 = 34x", "Subtract 34x from both sides: -21x - 959615 = 0", "Add 959615 to both sides: -21x = 959615", "Divide both sides by -21: x = -959615/21"], "final_answer": "-959615/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 79948) + 79709 = 34x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 79948, \"c\": 79709, \"d\": 34}", "seed": "15394137237848066674", "semantic_fingerprint": "sha256:007914d3f5d7b14da051c2ae12cb494830507781e80861d672229f33c07854d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004214", "prompt": "Calculate: -86546 * (-6400) / (-71391 / 6286)", "solution_steps": ["Multiply: -86546 * (-6400) = 553894400", "Divide: -71391 / 6286 = -159/14", "Divide: 553894400 / (-159/14) = -7754521600/159"], "final_answer": "-7754521600/159", "answer_type": "rational", "kind": "expression", "math_text": "-86546 * (-6400) / (-71391 / 6286)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86546, \"b\": -6400, \"c\": -71391, \"d\": 6286}", "seed": "8854871609877178558", "semantic_fingerprint": "sha256:804b094e597e42a7da23b78d9e08d84dce2dc997785f6f901aa17860c2856291", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004215", "prompt": "Find x: -27x = 25(x - 9173)", "solution_steps": ["Expand: -27x = 25x - 229325", "Subtract 25x from both sides: -52x = -229325", "Divide both sides by -52: x = 229325/52"], "final_answer": "229325/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x = 25(x - 9173)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 25, \"c\": 9173}", "seed": "14227782107963354840", "semantic_fingerprint": "sha256:49ad3a7a154f86dd54cc9975708f52019994d008cae37002d8a749d01411559c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004216", "prompt": "Calculate: 8543 + (-9269)", "solution_steps": ["Add: 8543 + (-9269) = -726"], "final_answer": "-726", "answer_type": "integer", "kind": "expression", "math_text": "8543 + (-9269)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8543, \"b\": -9269}", "seed": "9387866008595816569", "semantic_fingerprint": "sha256:ab7775311a0fff43fbec7a79c4edd8c08d6422b4375b2a4bb226446c94687e5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004217", "prompt": "Calculate: 2676 / (72954 / 34981)", "solution_steps": ["Divide: 72954 / 34981 = 72954/34981", "Divide: 2676 / (72954/34981) = 15601526/12159"], "final_answer": "15601526/12159", "answer_type": "rational", "kind": "expression", "math_text": "2676 / (72954 / 34981)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2676, \"b\": 72954, \"c\": 34981}", "seed": "5097181241134193833", "semantic_fingerprint": "sha256:e2552162003704f2dfa415f90a190417e0cd6d6ccc37b7be6041c705a3bae36e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004218", "prompt": "What is 3279 - (-32162)?", "solution_steps": ["Subtract: 3279 - (-32162) = 35441"], "final_answer": "35441", "answer_type": "integer", "kind": "expression", "math_text": "3279 - (-32162)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3279, \"b\": -32162}", "seed": "7721087790117406252", "semantic_fingerprint": "sha256:2b5b5b92ac801897eace5d7baecff5c2dda96891a24e3396b7287dd76a7f6c7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004219", "prompt": "What is 56914 - (-9048) * (-8365)?", "solution_steps": ["Multiply: -9048 * (-8365) = 75686520", "Subtract: 56914 - 75686520 = -75629606"], "final_answer": "-75629606", "answer_type": "integer", "kind": "expression", "math_text": "56914 - (-9048) * (-8365)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56914, \"b\": -9048, \"c\": -8365}", "seed": "7085366959023200785", "semantic_fingerprint": "sha256:ed4085ad452c2f6f9adeb539b78622bf5f1aef0c1435458897974bec76bba9fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004220", "prompt": "What value of x satisfies x + 6357 = 35x?", "solution_steps": ["Subtract 35x from both sides: -34x + 6357 = 0", "Subtract 6357 from both sides: -34x = -6357", "Divide both sides by -34: x = 6357/34"], "final_answer": "6357/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6357 = 35x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6357, \"b\": 35}", "seed": "5933004612580659892", "semantic_fingerprint": "sha256:c5037fc753e4d4c57ef05649d1429d9e5a8f35a56a30349315417e637b48057d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004221", "prompt": "Solve the equation 24(x - 1707) + 35910 = 21(x - 4709) + 94146 for x.", "solution_steps": ["Expand: 24x - 40968 + 35910 = 21(x - 4709) + 94146", "Expand: 24x - 40968 + 35910 = 21x - 98889 + 94146", "Combine constants: 24x - 5058 = 21x - 98889 + 94146", "Combine constants: 24x - 5058 = 21x - 4743", "Subtract 21x from both sides: 3x - 5058 = -4743", "Add 5058 to both sides: 3x = 315", "Divide both sides by 3: x = 105"], "final_answer": "105", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 1707) + 35910 = 21(x - 4709) + 94146", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 1707, \"c\": 35910, \"d\": 21, \"e\": 4709, \"g\": 94146, \"x\": 105}", "seed": "15811080028915340370", "semantic_fingerprint": "sha256:d369ff42cb202c53aaa3f75f83bd636cea0e8a13d477cd83d247200634310634", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004222", "prompt": "Compute: 5656 - (-3350 - (-9616))", "solution_steps": ["Subtract: -3350 - (-9616) = 6266", "Subtract: 5656 - 6266 = -610"], "final_answer": "-610", "answer_type": "integer", "kind": "expression", "math_text": "5656 - (-3350 - (-9616))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5656, \"b\": -3350, \"c\": -9616}", "seed": "15438425274914274170", "semantic_fingerprint": "sha256:3c76580087dfa21be07e8a17fa566b7af18e9581889943321f202b11f5151fbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004223", "prompt": "What is (-87469 - (-1808)) * 79238 + (-2470)?", "solution_steps": ["Subtract: -87469 - (-1808) = -85661", "Multiply: -85661 * 79238 = -6787606318", "Add: -6787606318 + (-2470) = -6787608788"], "final_answer": "-6787608788", "answer_type": "integer", "kind": "expression", "math_text": "(-87469 - (-1808)) * 79238 + (-2470)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -87469, \"b\": -1808, \"c\": 79238, \"d\": -2470}", "seed": "15875448712170393024", "semantic_fingerprint": "sha256:acdb98291e0ed5a5c37a1b40d0cd1adb1392a8c8cd6d551b977904ac3ed8beef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004224", "prompt": "Evaluate: 2148 * (-6001 + (-1934)) + (-1866) / (3164 / 90012)", "solution_steps": ["Add: -6001 + (-1934) = -7935", "Multiply: 2148 * (-7935) = -17044380", "Divide: 3164 / 90012 = 791/22503", "Divide: -1866 / (791/22503) = -41990598/791", "Add: -17044380 + (-41990598/791) = -13524095178/791"], "final_answer": "-13524095178/791", "answer_type": "rational", "kind": "expression", "math_text": "2148 * (-6001 + (-1934)) + (-1866) / (3164 / 90012)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2148, \"b\": -6001, \"c\": -1934, \"d\": -1866, \"e\": 3164, \"f\": 90012}", "seed": "12376640129964548340", "semantic_fingerprint": "sha256:af22430117147f2e7b53964b51083330ea7f20a9bf64131355475ef6734bccf2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004225", "prompt": "Solve for x: x + 28530 = 15x", "solution_steps": ["Subtract 15x from both sides: -14x + 28530 = 0", "Subtract 28530 from both sides: -14x = -28530", "Divide both sides by -14: x = 14265/7"], "final_answer": "14265/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 28530 = 15x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28530, \"b\": 15}", "seed": "8665100304243334835", "semantic_fingerprint": "sha256:3bc743edca0012f3e533732d168cd480050267a9376c66a79006ecb89caa632c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004226", "prompt": "Compute: -58440 * (-7839)", "solution_steps": ["Multiply: -58440 * (-7839) = 458111160"], "final_answer": "458111160", "answer_type": "integer", "kind": "expression", "math_text": "-58440 * (-7839)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -58440, \"b\": -7839}", "seed": "17251870947631088138", "semantic_fingerprint": "sha256:bf5cdcac815f546bbf92ceebc5560c2a9bcb5522d0533f4b8ed31139c1b14124", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004227", "prompt": "Solve for x: 13(x - 20185) - 8755 = -18(x + 15535) + 8693", "solution_steps": ["Expand: 13x - 262405 - 8755 = -18(x + 15535) + 8693", "Expand: 13x - 262405 - 8755 = -18x - 279630 + 8693", "Combine constants: 13x - 271160 = -18x - 279630 + 8693", "Combine constants: 13x - 271160 = -18x - 270937", "Add 18x to both sides: 31x - 271160 = -270937", "Add 271160 to both sides: 31x = 223", "Divide both sides by 31: x = 223/31"], "final_answer": "223/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 20185) - 8755 = -18(x + 15535) + 8693", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 20185, \"c\": 8755, \"d\": -18, \"e\": 15535, \"f\": 8693}", "seed": "12199082095700796589", "semantic_fingerprint": "sha256:48b8e2749346aff98d94d44baed627ac82ec5ab87fe6455fe530ec23c4cd2137", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004228", "prompt": "Solve the equation -20(x - 7215) = -32(x + 27376) for x.", "solution_steps": ["Expand: -20x + 144300 = -32(x + 27376)", "Expand: -20x + 144300 = -32x - 876032", "Add 32x to both sides: 12x + 144300 = -876032", "Subtract 144300 from both sides: 12x = -1020332", "Divide both sides by 12: x = -255083/3"], "final_answer": "-255083/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 7215) = -32(x + 27376)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 7215, \"c\": -32, \"d\": 27376}", "seed": "14101044172782871507", "semantic_fingerprint": "sha256:b1902479a73c2b4d95235aa92130d97edbdd8e20a04f58e8917069d5bed1e61f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004229", "prompt": "What is -1587 / (8622 - (-9532))?", "solution_steps": ["Subtract: 8622 - (-9532) = 18154", "Divide: -1587 / 18154 = -1587/18154"], "final_answer": "-1587/18154", "answer_type": "rational", "kind": "expression", "math_text": "-1587 / (8622 - (-9532))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1587, \"b\": 8622, \"c\": -9532}", "seed": "6528896383008483240", "semantic_fingerprint": "sha256:796c554f45e7e0a8db453a097ec00585e3337c243b5a979ab2e96b28a80f858f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004230", "prompt": "Compute: 1025 + 61228 + 1139 + (-9473)", "solution_steps": ["Add: 1025 + 61228 = 62253", "Add: 62253 + 1139 = 63392", "Add: 63392 + (-9473) = 53919"], "final_answer": "53919", "answer_type": "integer", "kind": "expression", "math_text": "1025 + 61228 + 1139 + (-9473)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1025, \"b\": 61228, \"c\": 1139, \"d\": -9473}", "seed": "6389700646410519292", "semantic_fingerprint": "sha256:b0bc5506bf2db093e7476d29d2afd055d7803e5365f5d7553dec13f2a4e84c02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004231", "prompt": "Compute: -3160 + (8231 + (3254 - 1898))", "solution_steps": ["Subtract: 3254 - 1898 = 1356", "Add: 8231 + 1356 = 9587", "Add: -3160 + 9587 = 6427"], "final_answer": "6427", "answer_type": "integer", "kind": "expression", "math_text": "-3160 + (8231 + (3254 - 1898))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3160, \"b\": 8231, \"c\": 3254, \"d\": 1898}", "seed": "4396959424157589550", "semantic_fingerprint": "sha256:1e0f95d38d331797465255a60c843544b046f964a0d1e5c2cf5669b5a8b1bf58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004232", "prompt": "Solve for x: 20(x + 8131) - 5474 = x", "solution_steps": ["Expand: 20x + 162620 - 5474 = x", "Combine constants: 20x + 157146 = x", "Subtract x from both sides: 19x + 157146 = 0", "Subtract 157146 from both sides: 19x = -157146", "Divide both sides by 19: x = -157146/19"], "final_answer": "-157146/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 8131) - 5474 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 8131, \"c\": 5474}", "seed": "17897591594630200387", "semantic_fingerprint": "sha256:95f32f6b3752fe5291b8f2cde6fbda9814398ab7733e48a610e9dd55ce6fc55c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004233", "prompt": "Solve the equation x + 1123 = 32x + 5928 for x.", "solution_steps": ["Subtract 32x from both sides: -31x + 1123 = 5928", "Subtract 1123 from both sides: -31x = 4805", "Divide both sides by -31: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1123 = 32x + 5928", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1123, \"b\": 32, \"d\": 5928, \"x\": -155}", "seed": "417398595778532912", "semantic_fingerprint": "sha256:a0c006d57925f6de0ba9c22ae164c5637f00ba6063df0ef060429387593d2176", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004234", "prompt": "Solve for x: 31(x + 24619) + 9930 = 37x - 6234", "solution_steps": ["Expand: 31x + 763189 + 9930 = 37x - 6234", "Combine constants: 31x + 773119 = 37x - 6234", "Subtract 37x from both sides: -6x + 773119 = -6234", "Subtract 773119 from both sides: -6x = -779353", "Divide both sides by -6: x = 779353/6"], "final_answer": "779353/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 24619) + 9930 = 37x - 6234", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 24619, \"c\": 9930, \"d\": 37, \"e\": 6234}", "seed": "14563972708243603164", "semantic_fingerprint": "sha256:948f885e15be51f89567c8bfb32cb554737f152f37777dfa73ddc2f5069dfb4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004235", "prompt": "Compute: (-49582 - 7419) / (-7884 + (-9956))", "solution_steps": ["Subtract: -49582 - 7419 = -57001", "Add: -7884 + (-9956) = -17840", "Divide: -57001 / (-17840) = 57001/17840"], "final_answer": "57001/17840", "answer_type": "rational", "kind": "expression", "math_text": "(-49582 - 7419) / (-7884 + (-9956))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -49582, \"b\": 7419, \"c\": -7884, \"d\": -9956}", "seed": "16028376688562663569", "semantic_fingerprint": "sha256:513f5e2c1ba88f7393e25f8d4c856c56a88eeef7f2db3687943a4197c2fa786a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004236", "prompt": "What is 4671 - 9399 + (-2970)?", "solution_steps": ["Subtract: 4671 - 9399 = -4728", "Add: -4728 + (-2970) = -7698"], "final_answer": "-7698", "answer_type": "integer", "kind": "expression", "math_text": "4671 - 9399 + (-2970)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4671, \"b\": 9399, \"c\": -2970}", "seed": "16999286751122033012", "semantic_fingerprint": "sha256:79c827a0af231b9e9f555642f07f6bbddf539603e93592d944317cd7e0f8b087", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004237", "prompt": "Compute: -2798 + (-6201)", "solution_steps": ["Add: -2798 + (-6201) = -8999"], "final_answer": "-8999", "answer_type": "integer", "kind": "expression", "math_text": "-2798 + (-6201)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2798, \"b\": -6201}", "seed": "13860656630167985423", "semantic_fingerprint": "sha256:7460f16b577b5e25465f308af6cfc4485eaab83f0428a194c602454aa1d203f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004238", "prompt": "Calculate: 26427 / 6736 + (-5475) - (-9808)", "solution_steps": ["Divide: 26427 / 6736 = 26427/6736", "Add: 26427/6736 + (-5475) = -36853173/6736", "Subtract: -36853173/6736 - (-9808) = 29213515/6736"], "final_answer": "29213515/6736", "answer_type": "rational", "kind": "expression", "math_text": "26427 / 6736 + (-5475) - (-9808)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26427, \"b\": 6736, \"c\": -5475, \"d\": -9808}", "seed": "1226967161881787658", "semantic_fingerprint": "sha256:78b2e00801c7085c3397da13d1369cb1836bdd93a0c85f04378aee493dbd13d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004239", "prompt": "Calculate: -4441 + 4324 / 90314", "solution_steps": ["Divide: 4324 / 90314 = 2162/45157", "Add: -4441 + 2162/45157 = -200540075/45157"], "final_answer": "-200540075/45157", "answer_type": "rational", "kind": "expression", "math_text": "-4441 + 4324 / 90314", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4441, \"b\": 4324, \"c\": 90314}", "seed": "14606598254176702556", "semantic_fingerprint": "sha256:75b4767ba305d1d9e8a211d1706257e587b01bd4f8dd0e2f6b50c61ae7993121", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004240", "prompt": "Solve for x: x = -40(x - 64975)", "solution_steps": ["Expand: x = -40x + 2599000", "Add 40x to both sides: 41x = 2599000", "Divide both sides by 41: x = 2599000/41"], "final_answer": "2599000/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -40(x - 64975)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 64975}", "seed": "6536005757675786678", "semantic_fingerprint": "sha256:c2055d2126907c774fe39754c604528eaf5285e2969a945bad2c1aa8fee5858d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004241", "prompt": "Calculate: -37979 - (-1847 + (-5689) / (-10034))", "solution_steps": ["Divide: -5689 / (-10034) = 5689/10034", "Add: -1847 + 5689/10034 = -18527109/10034", "Subtract: -37979 - (-18527109/10034) = -362554177/10034"], "final_answer": "-362554177/10034", "answer_type": "rational", "kind": "expression", "math_text": "-37979 - (-1847 + (-5689) / (-10034))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37979, \"b\": -1847, \"c\": -5689, \"d\": -10034}", "seed": "10901135376620067219", "semantic_fingerprint": "sha256:5f3012e84b267dc0eacd6ddd71a4693e86a982f2d72ab3b9dae4b0f13cbec2b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004242", "prompt": "What value of x satisfies 19x = -14x?", "solution_steps": ["Add 14x to both sides: 33x = 0", "Divide both sides by 33: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = -14x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": -14}", "seed": "16472110957221298850", "semantic_fingerprint": "sha256:c0cf3dcb866b828bed2430d26e65c0b63b75cfc356026ecaa2e2935deddd8047", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004243", "prompt": "Evaluate: -5037 + 6727 - (-8299)", "solution_steps": ["Add: -5037 + 6727 = 1690", "Subtract: 1690 - (-8299) = 9989"], "final_answer": "9989", "answer_type": "integer", "kind": "expression", "math_text": "-5037 + 6727 - (-8299)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5037, \"b\": 6727, \"c\": -8299}", "seed": "11929075861736512415", "semantic_fingerprint": "sha256:f65a4b3763273353a91c449d64bd72b076874115cb6bc5205d45bd40c1a031f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004244", "prompt": "Solve for x: 30(x - 41749) = -33(x + 75123)", "solution_steps": ["Expand: 30x - 1252470 = -33(x + 75123)", "Expand: 30x - 1252470 = -33x - 2479059", "Add 33x to both sides: 63x - 1252470 = -2479059", "Add 1252470 to both sides: 63x = -1226589", "Divide both sides by 63: x = -58409/3"], "final_answer": "-58409/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 41749) = -33(x + 75123)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 41749, \"c\": -33, \"d\": 75123}", "seed": "9601367326095275296", "semantic_fingerprint": "sha256:5179aaf60bda6179393ab6ebb67cf14a7f88c8ec236e30b0fe9cdff65fbdf07f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004245", "prompt": "What is (1914 + (-6202)) / (-5289 - (-9080))?", "solution_steps": ["Add: 1914 + (-6202) = -4288", "Subtract: -5289 - (-9080) = 3791", "Divide: -4288 / 3791 = -4288/3791"], "final_answer": "-4288/3791", "answer_type": "rational", "kind": "expression", "math_text": "(1914 + (-6202)) / (-5289 - (-9080))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1914, \"b\": -6202, \"c\": -5289, \"d\": -9080}", "seed": "3358185432639816655", "semantic_fingerprint": "sha256:ffd4253c91002913631bf45b423f24e12dae7bc6e187c0f8c0bca99d0c05b2ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004246", "prompt": "Calculate: 14502 - 5669 * (-16146 + (-7680))", "solution_steps": ["Add: -16146 + (-7680) = -23826", "Multiply: 5669 * (-23826) = -135069594", "Subtract: 14502 - (-135069594) = 135084096"], "final_answer": "135084096", "answer_type": "integer", "kind": "expression", "math_text": "14502 - 5669 * (-16146 + (-7680))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14502, \"b\": 5669, \"c\": -16146, \"d\": -7680}", "seed": "16418307049050575021", "semantic_fingerprint": "sha256:a38b672df827f60febb58e80b21368baa7e14a243e0011bbc9df02efe95d376f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004247", "prompt": "What is 5935 - 5768 * (-9695) / 88745?", "solution_steps": ["Multiply: 5768 * (-9695) = -55920760", "Divide: -55920760 / 88745 = -11184152/17749", "Subtract: 5935 - (-11184152/17749) = 116524467/17749"], "final_answer": "116524467/17749", "answer_type": "rational", "kind": "expression", "math_text": "5935 - 5768 * (-9695) / 88745", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5935, \"b\": 5768, \"c\": -9695, \"d\": 88745}", "seed": "13770712732414017120", "semantic_fingerprint": "sha256:ce51b01e47061cc55ddf59f7e0674dd7b6d2cfbb8e01b75c4b0ee67d82d399f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004248", "prompt": "Solve the equation 25(x + 8789) - 96598 = 27(x + 4557) for x.", "solution_steps": ["Expand: 25x + 219725 - 96598 = 27(x + 4557)", "Expand: 25x + 219725 - 96598 = 27x + 123039", "Combine constants: 25x + 123127 = 27x + 123039", "Subtract 27x from both sides: -2x + 123127 = 123039", "Subtract 123127 from both sides: -2x = -88", "Divide both sides by -2: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 8789) - 96598 = 27(x + 4557)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 8789, \"c\": 27, \"d\": 4557, \"f\": -96598, \"x\": 44}", "seed": "17423767357319398621", "semantic_fingerprint": "sha256:24af3532e50dc51d3a1e42c0bf3aaf3de7cf91ad6a604ac43f3a1c0e2b409990", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004249", "prompt": "Calculate: 2450 + 9750", "solution_steps": ["Add: 2450 + 9750 = 12200"], "final_answer": "12200", "answer_type": "integer", "kind": "expression", "math_text": "2450 + 9750", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2450, \"b\": 9750}", "seed": "11456090306670704868", "semantic_fingerprint": "sha256:17ccf8ec72f23f6473baebb101f0270d37749bdca2cf1e91a91686677c2e7ffb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004250", "prompt": "Find x: 35x - 6163 = 30(x + 4892) - 9318", "solution_steps": ["Expand: 35x - 6163 = 30x + 146760 - 9318", "Combine constants: 35x - 6163 = 30x + 137442", "Subtract 30x from both sides: 5x - 6163 = 137442", "Add 6163 to both sides: 5x = 143605", "Divide both sides by 5: x = 28721"], "final_answer": "28721", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 6163 = 30(x + 4892) - 9318", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 6163, \"c\": 30, \"d\": 4892, \"e\": 9318}", "seed": "14995662480524847309", "semantic_fingerprint": "sha256:34daad3849e5821415872f90daed7a6d0c941a40360cf48cf5fc8fd3b017a1dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004251", "prompt": "Calculate: 4639 - (-18555 - 60529)", "solution_steps": ["Subtract: -18555 - 60529 = -79084", "Subtract: 4639 - (-79084) = 83723"], "final_answer": "83723", "answer_type": "integer", "kind": "expression", "math_text": "4639 - (-18555 - 60529)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4639, \"b\": -18555, \"c\": 60529}", "seed": "7440153749138426982", "semantic_fingerprint": "sha256:61b9c8836982de7f14a06dc5692304bb1882bd6aff33a3f332999080228cfaaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004252", "prompt": "Compute: 5549 / (8077 - (-71907))", "solution_steps": ["Subtract: 8077 - (-71907) = 79984", "Divide: 5549 / 79984 = 5549/79984"], "final_answer": "5549/79984", "answer_type": "rational", "kind": "expression", "math_text": "5549 / (8077 - (-71907))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5549, \"b\": 8077, \"c\": -71907}", "seed": "17802326761727554257", "semantic_fingerprint": "sha256:c6f2b76615d156cb80882e5597a5fa8f2cd48a7c77275367d55b6495bc3e677e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004253", "prompt": "Evaluate: 2278 - 91949", "solution_steps": ["Subtract: 2278 - 91949 = -89671"], "final_answer": "-89671", "answer_type": "integer", "kind": "expression", "math_text": "2278 - 91949", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2278, \"b\": 91949}", "seed": "3620283809730104151", "semantic_fingerprint": "sha256:840f4e4de0d45c9adebfc2a3841cbc9873265daf1a29e8b578bc71a12d424186", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004254", "prompt": "What is (1821 * (71190 + (-45534)) - 71611) / (-75627)?", "solution_steps": ["Add: 71190 + (-45534) = 25656", "Multiply: 1821 * 25656 = 46719576", "Subtract: 46719576 - 71611 = 46647965", "Divide: 46647965 / (-75627) = -46647965/75627"], "final_answer": "-46647965/75627", "answer_type": "rational", "kind": "expression", "math_text": "(1821 * (71190 + (-45534)) - 71611) / (-75627)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1821, \"b\": 71190, \"c\": -45534, \"d\": 71611, \"e\": -75627}", "seed": "15847024248740811545", "semantic_fingerprint": "sha256:158459bb6051ea6e4dfe83120737844d05353120d8c485351570da278e0ad3ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004255", "prompt": "Compute: 25378 - (1838 - 43288)", "solution_steps": ["Subtract: 1838 - 43288 = -41450", "Subtract: 25378 - (-41450) = 66828"], "final_answer": "66828", "answer_type": "integer", "kind": "expression", "math_text": "25378 - (1838 - 43288)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25378, \"b\": 1838, \"c\": 43288}", "seed": "1907378688214391795", "semantic_fingerprint": "sha256:6dc59f87d77728465a72f05704fe5cead27f5c0f46304f8b1892f043eebf4410", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004256", "prompt": "What value of x satisfies -25(x + 7123) = -19(x - 20207)?", "solution_steps": ["Expand: -25x - 178075 = -19(x - 20207)", "Expand: -25x - 178075 = -19x + 383933", "Add 19x to both sides: -6x - 178075 = 383933", "Add 178075 to both sides: -6x = 562008", "Divide both sides by -6: x = -93668"], "final_answer": "-93668", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25(x + 7123) = -19(x - 20207)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 7123, \"c\": -19, \"d\": 20207}", "seed": "10705146545924069633", "semantic_fingerprint": "sha256:ac5f51240bf01ba41c570d0fd721193258310ac8f026416a9365b071d41e32b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004257", "prompt": "What value of x satisfies 13(x - 7799) + 99863 = x?", "solution_steps": ["Expand: 13x - 101387 + 99863 = x", "Combine constants: 13x - 1524 = x", "Subtract x from both sides: 12x - 1524 = 0", "Add 1524 to both sides: 12x = 1524", "Divide both sides by 12: x = 127"], "final_answer": "127", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 7799) + 99863 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7799, \"d\": 99863, \"x\": 127}", "seed": "5493688342035397188", "semantic_fingerprint": "sha256:1fa5db19ce3946b89d4499a740ba1a2192bd10e1e05531bfcdddf0acc86c6313", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004258", "prompt": "Compute: 7728 * (9146 - (-89942)) - 7340", "solution_steps": ["Subtract: 9146 - (-89942) = 99088", "Multiply: 7728 * 99088 = 765752064", "Subtract: 765752064 - 7340 = 765744724"], "final_answer": "765744724", "answer_type": "integer", "kind": "expression", "math_text": "7728 * (9146 - (-89942)) - 7340", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7728, \"b\": 9146, \"c\": -89942, \"d\": 7340}", "seed": "10068647517328777226", "semantic_fingerprint": "sha256:450741f47a247d7fbeb7c260774325a39362733db611be448e7f76524947101a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004259", "prompt": "Evaluate: -2887 - (-9471 - (-9709) + (-3296))", "solution_steps": ["Subtract: -9471 - (-9709) = 238", "Add: 238 + (-3296) = -3058", "Subtract: -2887 - (-3058) = 171"], "final_answer": "171", "answer_type": "integer", "kind": "expression", "math_text": "-2887 - (-9471 - (-9709) + (-3296))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2887, \"b\": -9471, \"c\": -9709, \"d\": -3296}", "seed": "13979621613156501353", "semantic_fingerprint": "sha256:150be8ad288dd74b93f2e3850a52aca0a2fa91918a1062274764a5df337067c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004260", "prompt": "What is (8177 - (-17715)) / (70384 + (-81150))?", "solution_steps": ["Subtract: 8177 - (-17715) = 25892", "Add: 70384 + (-81150) = -10766", "Divide: 25892 / (-10766) = -12946/5383"], "final_answer": "-12946/5383", "answer_type": "rational", "kind": "expression", "math_text": "(8177 - (-17715)) / (70384 + (-81150))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8177, \"b\": -17715, \"c\": 70384, \"d\": -81150}", "seed": "11646138459722532354", "semantic_fingerprint": "sha256:0d5fea7e726d0bf1c8b0d06947bd8d3bffb2f8696df758449aa913516b06190e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004261", "prompt": "Evaluate: -7013 - (48331 + 2711) * (-87453)", "solution_steps": ["Add: 48331 + 2711 = 51042", "Multiply: 51042 * (-87453) = -4463776026", "Subtract: -7013 - (-4463776026) = 4463769013"], "final_answer": "4463769013", "answer_type": "integer", "kind": "expression", "math_text": "-7013 - (48331 + 2711) * (-87453)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7013, \"b\": 48331, \"c\": 2711, \"d\": -87453}", "seed": "12619325354489596894", "semantic_fingerprint": "sha256:3479e6e85b36a3d0674c9f7fbd3aeed8f061ffd8bc5f220ddff03848a18906c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004262", "prompt": "Calculate: -1394 / (-48875)", "solution_steps": ["Divide: -1394 / (-48875) = 82/2875"], "final_answer": "82/2875", "answer_type": "rational", "kind": "expression", "math_text": "-1394 / (-48875)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1394, \"b\": -48875}", "seed": "12511732232536954212", "semantic_fingerprint": "sha256:00984a77a3088ae57aaffcdfeafed4bea0ce9e3618276448efe39b1efc2bd305", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004263", "prompt": "What is (8648 + (-3846 - 7563)) / ((-85432 - 2098) / (-6010))?", "solution_steps": ["Subtract: -3846 - 7563 = -11409", "Add: 8648 + (-11409) = -2761", "Subtract: -85432 - 2098 = -87530", "Divide: -87530 / (-6010) = 8753/601", "Divide: -2761 / (8753/601) = -1659361/8753"], "final_answer": "-1659361/8753", "answer_type": "rational", "kind": "expression", "math_text": "(8648 + (-3846 - 7563)) / ((-85432 - 2098) / (-6010))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8648, \"b\": -3846, \"c\": 7563, \"d\": -85432, \"e\": 2098, \"f\": -6010}", "seed": "7488871230807860196", "semantic_fingerprint": "sha256:2dc98b0da1d79628527b98c1831f1f0f24dd2964c097dcd2a7b8bc29b51177b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004264", "prompt": "Evaluate: -6742 + 5185 + (-2016) / (-32802)", "solution_steps": ["Add: -6742 + 5185 = -1557", "Divide: -2016 / (-32802) = 48/781", "Add: -1557 + 48/781 = -1215969/781"], "final_answer": "-1215969/781", "answer_type": "rational", "kind": "expression", "math_text": "-6742 + 5185 + (-2016) / (-32802)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6742, \"b\": 5185, \"c\": -2016, \"d\": -32802}", "seed": "6000239739254935927", "semantic_fingerprint": "sha256:600082d30a3de4bf9c51e38a14e2f46aef50ca33cccfd73e0fb70c3da4f8266c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004265", "prompt": "Solve for x: 38(x + 74589) = 28(x + 2134)", "solution_steps": ["Expand: 38x + 2834382 = 28(x + 2134)", "Expand: 38x + 2834382 = 28x + 59752", "Subtract 28x from both sides: 10x + 2834382 = 59752", "Subtract 2834382 from both sides: 10x = -2774630", "Divide both sides by 10: x = -277463"], "final_answer": "-277463", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 74589) = 28(x + 2134)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 74589, \"c\": 28, \"d\": 2134}", "seed": "10930557305859327121", "semantic_fingerprint": "sha256:5706cb2b967abe605ffa3e8c0001275aaa26388a77835c71eb91297bcf55ed5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004266", "prompt": "Solve the equation 20(x - 56651) + 19619 = -28(x + 91132) + 62179 for x.", "solution_steps": ["Expand: 20x - 1133020 + 19619 = -28(x + 91132) + 62179", "Expand: 20x - 1133020 + 19619 = -28x - 2551696 + 62179", "Combine constants: 20x - 1113401 = -28x - 2551696 + 62179", "Combine constants: 20x - 1113401 = -28x - 2489517", "Add 28x to both sides: 48x - 1113401 = -2489517", "Add 1113401 to both sides: 48x = -1376116", "Divide both sides by 48: x = -344029/12"], "final_answer": "-344029/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 56651) + 19619 = -28(x + 91132) + 62179", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 56651, \"c\": 19619, \"d\": -28, \"e\": 91132, \"f\": 62179}", "seed": "9364973501389439559", "semantic_fingerprint": "sha256:ac3877774d7183d86b06f80c1a380695d3792897678259b1f10519d5b4fc1277", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004267", "prompt": "What is -35797 / (56884 - (8141 - 29236))?", "solution_steps": ["Subtract: 8141 - 29236 = -21095", "Subtract: 56884 - (-21095) = 77979", "Divide: -35797 / 77979 = -35797/77979"], "final_answer": "-35797/77979", "answer_type": "rational", "kind": "expression", "math_text": "-35797 / (56884 - (8141 - 29236))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35797, \"b\": 56884, \"c\": 8141, \"d\": 29236}", "seed": "13770114753716756894", "semantic_fingerprint": "sha256:f7c6adbc4c6faf2bb12203d26a36e39a39a0d9e76bf79c2239946c5df9bede21", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004268", "prompt": "Solve for x: 22(x + 6029) - 88021 = 14x + 7868", "solution_steps": ["Expand: 22x + 132638 - 88021 = 14x + 7868", "Combine constants: 22x + 44617 = 14x + 7868", "Subtract 14x from both sides: 8x + 44617 = 7868", "Subtract 44617 from both sides: 8x = -36749", "Divide both sides by 8: x = -36749/8"], "final_answer": "-36749/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 6029) - 88021 = 14x + 7868", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6029, \"c\": 88021, \"d\": 14, \"e\": 7868}", "seed": "2661749051650445065", "semantic_fingerprint": "sha256:2f3b5089f5cbc9be0c6c114d4c2aee5c940b4e3b82e88a84935d73b4907f2ccb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004269", "prompt": "What is -3219 * 49956?", "solution_steps": ["Multiply: -3219 * 49956 = -160808364"], "final_answer": "-160808364", "answer_type": "integer", "kind": "expression", "math_text": "-3219 * 49956", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3219, \"b\": 49956}", "seed": "1964866293842589743", "semantic_fingerprint": "sha256:506bb5d417e35f231cbd2a73f492d67a3f4bfdab13b0de09f92879e7c3a6b9d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004270", "prompt": "Compute: -28448 + 34672", "solution_steps": ["Add: -28448 + 34672 = 6224"], "final_answer": "6224", "answer_type": "integer", "kind": "expression", "math_text": "-28448 + 34672", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -28448, \"b\": 34672}", "seed": "3600096918237139282", "semantic_fingerprint": "sha256:71f88e098f3ec551a5ed742b44ad75dccce50221abdf9ab07778ad222199d713", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004271", "prompt": "Compute: -61927 + (-74241 - (-88671) - (-88655)) + 4894 * 1713", "solution_steps": ["Subtract: -74241 - (-88671) = 14430", "Subtract: 14430 - (-88655) = 103085", "Add: -61927 + 103085 = 41158", "Multiply: 4894 * 1713 = 8383422", "Add: 41158 + 8383422 = 8424580"], "final_answer": "8424580", "answer_type": "integer", "kind": "expression", "math_text": "-61927 + (-74241 - (-88671) - (-88655)) + 4894 * 1713", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- (- n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -61927, \"b\": -74241, \"c\": -88671, \"d\": -88655, \"e\": 4894, \"f\": 1713}", "seed": "11876300696490468198", "semantic_fingerprint": "sha256:cf31e6a5a521978b6e6eda30c96ff5df00fbfcc3d899be48b55672d233c90085", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004272", "prompt": "What is (6463 - 28388) * 4478?", "solution_steps": ["Subtract: 6463 - 28388 = -21925", "Multiply: -21925 * 4478 = -98180150"], "final_answer": "-98180150", "answer_type": "integer", "kind": "expression", "math_text": "(6463 - 28388) * 4478", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6463, \"b\": 28388, \"c\": 4478}", "seed": "8905792981769630785", "semantic_fingerprint": "sha256:dc17f1c5c9eaf3ece4d050b7c4a243fe66f9dd5429f960db8811dad481ae8d82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004273", "prompt": "What is 34705 / (-9843 + 19001)?", "solution_steps": ["Add: -9843 + 19001 = 9158", "Divide: 34705 / 9158 = 34705/9158"], "final_answer": "34705/9158", "answer_type": "rational", "kind": "expression", "math_text": "34705 / (-9843 + 19001)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34705, \"b\": -9843, \"c\": 19001}", "seed": "6444668190972763012", "semantic_fingerprint": "sha256:8e39c846c54153c0d9c4319af202e2b57bc814929d67e7ccbf4821f8650c6159", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004274", "prompt": "Solve the equation 35x + 5134 = x for x.", "solution_steps": ["Subtract x from both sides: 34x + 5134 = 0", "Subtract 5134 from both sides: 34x = -5134", "Divide both sides by 34: x = -151"], "final_answer": "-151", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 5134 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"c\": 5134, \"x\": -151}", "seed": "10910961088811611175", "semantic_fingerprint": "sha256:7b7f1c5e5ca11e4be689b152236c15ee138ed8f1e83120f24baf86205be4b2c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004275", "prompt": "Calculate: 50225 + (-2403) - 78689 * 25537", "solution_steps": ["Add: 50225 + (-2403) = 47822", "Multiply: 78689 * 25537 = 2009480993", "Subtract: 47822 - 2009480993 = -2009433171"], "final_answer": "-2009433171", "answer_type": "integer", "kind": "expression", "math_text": "50225 + (-2403) - 78689 * 25537", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50225, \"b\": -2403, \"c\": 78689, \"d\": 25537}", "seed": "4837910473634922759", "semantic_fingerprint": "sha256:981f83d97f7969a6bf09a800d46281955b5de131a8ec24cf2248c767c7300a36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004276", "prompt": "Evaluate: 39084 + 9097 * (-2249 - 76128)", "solution_steps": ["Subtract: -2249 - 76128 = -78377", "Multiply: 9097 * (-78377) = -712995569", "Add: 39084 + (-712995569) = -712956485"], "final_answer": "-712956485", "answer_type": "integer", "kind": "expression", "math_text": "39084 + 9097 * (-2249 - 76128)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39084, \"b\": 9097, \"c\": -2249, \"d\": 76128}", "seed": "5673772263999833933", "semantic_fingerprint": "sha256:2b6a3337f9849ba7c89c693caf9505ded99cf87d0d25e4cb592aee0274d0b6bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004277", "prompt": "Evaluate: 1615 / (-2906) * (-3802) - (42693 - 16439)", "solution_steps": ["Divide: 1615 / (-2906) = -1615/2906", "Multiply: (-1615/2906) * (-3802) = 3070115/1453", "Subtract: 42693 - 16439 = 26254", "Subtract: 3070115/1453 - 26254 = -35076947/1453"], "final_answer": "-35076947/1453", "answer_type": "rational", "kind": "expression", "math_text": "1615 / (-2906) * (-3802) - (42693 - 16439)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1615, \"b\": -2906, \"c\": -3802, \"d\": 42693, \"e\": 16439}", "seed": "5917591299829782266", "semantic_fingerprint": "sha256:4f008b4c596e47a9554244b79ba272c7682b430a754a32476b8928f899133244", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004278", "prompt": "Solve the equation x + 4830 = 31x for x.", "solution_steps": ["Subtract 31x from both sides: -30x + 4830 = 0", "Subtract 4830 from both sides: -30x = -4830", "Divide both sides by -30: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4830 = 31x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 4830, \"x\": 161}", "seed": "4844859686033683363", "semantic_fingerprint": "sha256:100dc7f4e699b0c2c6b86311cf559de002088279cbddf1086fb51e1690c86534", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004279", "prompt": "Evaluate: 3228 + (20369 + (-6336 - 4140)) / (-8832)", "solution_steps": ["Subtract: -6336 - 4140 = -10476", "Add: 20369 + (-10476) = 9893", "Divide: 9893 / (-8832) = -9893/8832", "Add: 3228 + (-9893/8832) = 28499803/8832"], "final_answer": "28499803/8832", "answer_type": "rational", "kind": "expression", "math_text": "3228 + (20369 + (-6336 - 4140)) / (-8832)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3228, \"b\": 20369, \"c\": -6336, \"d\": 4140, \"e\": -8832}", "seed": "2266943655640415531", "semantic_fingerprint": "sha256:f504dfda13bd155277e25e2f0cc4f968b9df849a681ef8f70f607c410157f3f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004280", "prompt": "Calculate: -52533 + 36199 * 8089", "solution_steps": ["Multiply: 36199 * 8089 = 292813711", "Add: -52533 + 292813711 = 292761178"], "final_answer": "292761178", "answer_type": "integer", "kind": "expression", "math_text": "-52533 + 36199 * 8089", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52533, \"b\": 36199, \"c\": 8089}", "seed": "6687178896826399594", "semantic_fingerprint": "sha256:417e6b699099374edd801237673f6ccbafbeec72c2a1f5f7154f55fbfccee098", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004281", "prompt": "Solve the equation -20x = x for x.", "solution_steps": ["Subtract x from both sides: -21x = 0", "Divide both sides by -21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20}", "seed": "8842755483150448992", "semantic_fingerprint": "sha256:03233c0a086b994c1733e5a34c5306a78e8b3975aa65e42e6342528c96a46317", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004282", "prompt": "Find x: x + 6400 = 21x + 7560", "solution_steps": ["Subtract 21x from both sides: -20x + 6400 = 7560", "Subtract 6400 from both sides: -20x = 1160", "Divide both sides by -20: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6400 = 21x + 7560", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6400, \"b\": 21, \"d\": 7560, \"x\": -58}", "seed": "3299318135986946185", "semantic_fingerprint": "sha256:7046972fc606f727c8c736aaba54a9e46dc12502d63f49e1c52bf400d3b40f41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004283", "prompt": "Evaluate: -5223 / (8822 / 95564)", "solution_steps": ["Divide: 8822 / 95564 = 4411/47782", "Divide: -5223 / (4411/47782) = -249565386/4411"], "final_answer": "-249565386/4411", "answer_type": "rational", "kind": "expression", "math_text": "-5223 / (8822 / 95564)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5223, \"b\": 8822, \"c\": 95564}", "seed": "16296528324124781834", "semantic_fingerprint": "sha256:aaf31d3521d88d8026f22d41e54fc275d70791b09bee29db9fd8c039bb1ab3be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004284", "prompt": "Compute: -45926 - 9195", "solution_steps": ["Subtract: -45926 - 9195 = -55121"], "final_answer": "-55121", "answer_type": "integer", "kind": "expression", "math_text": "-45926 - 9195", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -45926, \"b\": 9195}", "seed": "11839038823936396079", "semantic_fingerprint": "sha256:e933a1753a37638d89201fdc65f64a8741f1ba754d77449ae31f2378dc6a5948", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004285", "prompt": "Calculate: 7790 / (-1156 * 8284)", "solution_steps": ["Multiply: -1156 * 8284 = -9576304", "Divide: 7790 / (-9576304) = -205/252008"], "final_answer": "-205/252008", "answer_type": "rational", "kind": "expression", "math_text": "7790 / (-1156 * 8284)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7790, \"b\": -1156, \"c\": 8284}", "seed": "8827510203334236555", "semantic_fingerprint": "sha256:61c770589baf054c793cb9b889641052f73c36d089de772474e1aaadb05fccb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004286", "prompt": "Evaluate: 9820 + 42561 * (-1733)", "solution_steps": ["Multiply: 42561 * (-1733) = -73758213", "Add: 9820 + (-73758213) = -73748393"], "final_answer": "-73748393", "answer_type": "integer", "kind": "expression", "math_text": "9820 + 42561 * (-1733)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9820, \"b\": 42561, \"c\": -1733}", "seed": "8003216238756901711", "semantic_fingerprint": "sha256:fa6f18064f56b364d5482e535899ae3e26762df71cd4c37f2af72f2c56901574", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004287", "prompt": "Evaluate: 64539 / (-1425 * 1357)", "solution_steps": ["Multiply: -1425 * 1357 = -1933725", "Divide: 64539 / (-1933725) = -21513/644575"], "final_answer": "-21513/644575", "answer_type": "rational", "kind": "expression", "math_text": "64539 / (-1425 * 1357)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64539, \"b\": -1425, \"c\": 1357}", "seed": "9694725192142522193", "semantic_fingerprint": "sha256:204f53636ae23fbd98f1f08042bf66cc459b73892ba033ee184c508247f8f1f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004288", "prompt": "Compute: 5558 * (-2699)", "solution_steps": ["Multiply: 5558 * (-2699) = -15001042"], "final_answer": "-15001042", "answer_type": "integer", "kind": "expression", "math_text": "5558 * (-2699)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5558, \"b\": -2699}", "seed": "17428253078399644877", "semantic_fingerprint": "sha256:2de4cecf8fb60c2f781d426fff5aa36a747b653dea12c8cc1be173f663428f4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004289", "prompt": "Solve the equation 20x - 32288 = 24x + 3803 for x.", "solution_steps": ["Subtract 24x from both sides: -4x - 32288 = 3803", "Add 32288 to both sides: -4x = 36091", "Divide both sides by -4: x = -36091/4"], "final_answer": "-36091/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x - 32288 = 24x + 3803", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 32288, \"c\": 24, \"d\": 3803}", "seed": "18144049027023174316", "semantic_fingerprint": "sha256:814ad8952499e44e49e9be4b68231f29db9e7faf9287103259d25f29e76a3458", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004290", "prompt": "Solve for x: -23x = 22x - 4545", "solution_steps": ["Subtract 22x from both sides: -45x = -4545", "Divide both sides by -45: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x = 22x - 4545", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 22, \"d\": -4545, \"x\": 101}", "seed": "18236787368416932226", "semantic_fingerprint": "sha256:851621ccf0f6ec46adc43691ee50578911017ce8d076550a4461dd6a4444692a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004291", "prompt": "Evaluate: -6722 + (-5511)", "solution_steps": ["Add: -6722 + (-5511) = -12233"], "final_answer": "-12233", "answer_type": "integer", "kind": "expression", "math_text": "-6722 + (-5511)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6722, \"b\": -5511}", "seed": "17487498630233571820", "semantic_fingerprint": "sha256:df308ae3a97f7f63d8d89271b44fdb446c1f6229a02b9c7ec8cb4e1024b06773", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004292", "prompt": "What is (-5124 - (8833 - 5926)) * (94969 / 7310)?", "solution_steps": ["Subtract: 8833 - 5926 = 2907", "Subtract: -5124 - 2907 = -8031", "Divide: 94969 / 7310 = 94969/7310", "Multiply: -8031 * (94969/7310) = -762696039/7310"], "final_answer": "-762696039/7310", "answer_type": "rational", "kind": "expression", "math_text": "(-5124 - (8833 - 5926)) * (94969 / 7310)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5124, \"b\": 8833, \"c\": 5926, \"d\": 94969, \"e\": 7310}", "seed": "827733341228050198", "semantic_fingerprint": "sha256:6a9a164b8b94cdf2cdc17dfca9cab8da8b401a0d7e6c5d978e82c77fdc7df786", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004293", "prompt": "Compute: -8170 / (-24900)", "solution_steps": ["Divide: -8170 / (-24900) = 817/2490"], "final_answer": "817/2490", "answer_type": "rational", "kind": "expression", "math_text": "-8170 / (-24900)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8170, \"b\": -24900}", "seed": "5011108264038911578", "semantic_fingerprint": "sha256:56203869a4cb4a098b68f407821f09205fa73d3e2ef55564e284c47e70daa6bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004294", "prompt": "Calculate: -75024 - 2508 * (-88450 - (-11445) * (-4950) / (-3211))", "solution_steps": ["Multiply: -11445 * (-4950) = 56652750", "Divide: 56652750 / (-3211) = -56652750/3211", "Subtract: -88450 - (-56652750/3211) = -227360200/3211", "Multiply: 2508 * (-227360200/3211) = -30011546400/169", "Subtract: -75024 - (-30011546400/169) = 29998867344/169"], "final_answer": "29998867344/169", "answer_type": "rational", "kind": "expression", "math_text": "-75024 - 2508 * (-88450 - (-11445) * (-4950) / (-3211))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (- n (/ (* n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -75024, \"b\": 2508, \"c\": -88450, \"d\": -11445, \"e\": -4950, \"f\": -3211}", "seed": "622661870111913077", "semantic_fingerprint": "sha256:9ccc7f8850f90f5c81ed098afa6b336e16a1f5159f7c463b998f8a1459f30d98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004295", "prompt": "Find x: -24x = 16x - 2720", "solution_steps": ["Subtract 16x from both sides: -40x = -2720", "Divide both sides by -40: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x = 16x - 2720", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 16, \"d\": -2720, \"x\": 68}", "seed": "4508469161931211738", "semantic_fingerprint": "sha256:b2e876349fbfa17b4ba34ffc8089e62c132c8d18e017b230b5f8f4fc9611b7e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004296", "prompt": "Solve for x: 38(x + 14111) = x + 81426", "solution_steps": ["Expand: 38x + 536218 = x + 81426", "Subtract x from both sides: 37x + 536218 = 81426", "Subtract 536218 from both sides: 37x = -454792", "Divide both sides by 37: x = -454792/37"], "final_answer": "-454792/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 14111) = x + 81426", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 14111, \"c\": 81426}", "seed": "16961363072186770030", "semantic_fingerprint": "sha256:8b86bb6457c7e20a5f641b91395fc1592034ded6aabcfa269ebb5a8afbad0a0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004297", "prompt": "Evaluate: 1616 / (-9761 / (9902 - (-5667)))", "solution_steps": ["Subtract: 9902 - (-5667) = 15569", "Divide: -9761 / 15569 = -9761/15569", "Divide: 1616 / (-9761/15569) = -25159504/9761"], "final_answer": "-25159504/9761", "answer_type": "rational", "kind": "expression", "math_text": "1616 / (-9761 / (9902 - (-5667)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1616, \"b\": -9761, \"c\": 9902, \"d\": -5667}", "seed": "1790347866806795713", "semantic_fingerprint": "sha256:84402e67345d4ae3b9506c47e05c2c453d5c132d0c593a0a1b6ae1df5da64c34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004298", "prompt": "Compute: 4966 / 85197 * (-2708 + 8032)", "solution_steps": ["Divide: 4966 / 85197 = 4966/85197", "Add: -2708 + 8032 = 5324", "Multiply: (4966/85197) * 5324 = 26438984/85197"], "final_answer": "26438984/85197", "answer_type": "rational", "kind": "expression", "math_text": "4966 / 85197 * (-2708 + 8032)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4966, \"b\": 85197, \"c\": -2708, \"d\": 8032}", "seed": "14118056956980598561", "semantic_fingerprint": "sha256:628075a1c4b60b1590731c946ee20e617aaf9376cff9393d4ae68cdc501ae14a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004299", "prompt": "Solve the equation 17x = x - 1216 for x.", "solution_steps": ["Subtract x from both sides: 16x = -1216", "Divide both sides by 16: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = x - 1216", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": -1216, \"x\": -76}", "seed": "17348091847186699185", "semantic_fingerprint": "sha256:2b1eb681a15144405116dbeca4d520d226c1ad283c72a5cca6d4a6f6077e61b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004300", "prompt": "Evaluate: -4405 + (-3539) - 7849 * 2592", "solution_steps": ["Add: -4405 + (-3539) = -7944", "Multiply: 7849 * 2592 = 20344608", "Subtract: -7944 - 20344608 = -20352552"], "final_answer": "-20352552", "answer_type": "integer", "kind": "expression", "math_text": "-4405 + (-3539) - 7849 * 2592", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4405, \"b\": -3539, \"c\": 7849, \"d\": 2592}", "seed": "8983855825468919246", "semantic_fingerprint": "sha256:5e77c7b325169669f093c7fb3945cc06784b9d17a74b6811aa7eee35fbe357e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004301", "prompt": "Solve for x: 38(x + 48810) + 6826 = 24(x - 1998) - 9382", "solution_steps": ["Expand: 38x + 1854780 + 6826 = 24(x - 1998) - 9382", "Expand: 38x + 1854780 + 6826 = 24x - 47952 - 9382", "Combine constants: 38x + 1861606 = 24x - 47952 - 9382", "Combine constants: 38x + 1861606 = 24x - 57334", "Subtract 24x from both sides: 14x + 1861606 = -57334", "Subtract 1861606 from both sides: 14x = -1918940", "Divide both sides by 14: x = -959470/7"], "final_answer": "-959470/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 48810) + 6826 = 24(x - 1998) - 9382", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 48810, \"c\": 6826, \"d\": 24, \"e\": 1998, \"f\": 9382}", "seed": "5433683479088669950", "semantic_fingerprint": "sha256:dd5bb5ec577bf70e3382f69b4dd7bf5c7101116109f39523d97d608ee403e1a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004302", "prompt": "What is -57021 * (7249 - 8734)?", "solution_steps": ["Subtract: 7249 - 8734 = -1485", "Multiply: -57021 * (-1485) = 84676185"], "final_answer": "84676185", "answer_type": "integer", "kind": "expression", "math_text": "-57021 * (7249 - 8734)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -57021, \"b\": 7249, \"c\": 8734}", "seed": "9029814717779637490", "semantic_fingerprint": "sha256:a440c7262532f291709580c193c4f13b6e7c855a7c500fdc31786f49ff80b0a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004303", "prompt": "Find x: -18x + 62446 = x", "solution_steps": ["Subtract x from both sides: -19x + 62446 = 0", "Subtract 62446 from both sides: -19x = -62446", "Divide both sides by -19: x = 62446/19"], "final_answer": "62446/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x + 62446 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 62446}", "seed": "10464381183785874545", "semantic_fingerprint": "sha256:bf0485569930c7ac3bf5cdaf02ad313e49bc82a353b7b14624857f1cd4bcb7fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004304", "prompt": "Solve for x: 28x + 6460 = 24(x - 9852)", "solution_steps": ["Expand: 28x + 6460 = 24x - 236448", "Subtract 24x from both sides: 4x + 6460 = -236448", "Subtract 6460 from both sides: 4x = -242908", "Divide both sides by 4: x = -60727"], "final_answer": "-60727", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 6460 = 24(x - 9852)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 6460, \"c\": 24, \"d\": 9852}", "seed": "13051045532191599269", "semantic_fingerprint": "sha256:54ecb7c691b23b2f91d034d889cb9832d0ef3f02eab0a1684c6f1f02e8cbc420", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004305", "prompt": "Solve the equation x = 32(x + 61665) for x.", "solution_steps": ["Expand: x = 32x + 1973280", "Subtract 32x from both sides: -31x = 1973280", "Divide both sides by -31: x = -1973280/31"], "final_answer": "-1973280/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 32(x + 61665)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 61665}", "seed": "18039231741255899767", "semantic_fingerprint": "sha256:9b3e8fe02cfaf1126173b370725f0f735a91ceb23dd94f8a1812f894c7dd48a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004306", "prompt": "Evaluate: 35106 + 4790 - (-9439) / (-2771)", "solution_steps": ["Add: 35106 + 4790 = 39896", "Divide: -9439 / (-2771) = 9439/2771", "Subtract: 39896 - 9439/2771 = 110542377/2771"], "final_answer": "110542377/2771", "answer_type": "rational", "kind": "expression", "math_text": "35106 + 4790 - (-9439) / (-2771)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35106, \"b\": 4790, \"c\": -9439, \"d\": -2771}", "seed": "15183956298040722170", "semantic_fingerprint": "sha256:76a07b39624edc657e2acbaa7a27bb277e4fb77e94db14365b7c126aa4def85b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004307", "prompt": "Evaluate: 34425 / 9337 + 99784 - (-1910 + (-5177)) + (-49646)", "solution_steps": ["Divide: 34425 / 9337 = 34425/9337", "Add: 34425/9337 + 99784 = 931717633/9337", "Add: -1910 + (-5177) = -7087", "Subtract: 931717633/9337 - (-7087) = 997888952/9337", "Add: 997888952/9337 + (-49646) = 534344250/9337"], "final_answer": "534344250/9337", "answer_type": "rational", "kind": "expression", "math_text": "34425 / 9337 + 99784 - (-1910 + (-5177)) + (-49646)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (/ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34425, \"b\": 9337, \"c\": 99784, \"d\": -1910, \"e\": -5177, \"f\": -49646}", "seed": "9659129082718326999", "semantic_fingerprint": "sha256:1bae832771f619dfbaf9a45ce774750d9b594fa921854de1f220f54fb7fcdd50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004308", "prompt": "Solve the equation 27(x + 87999) = -1567 for x.", "solution_steps": ["Expand: 27x + 2375973 = -1567", "Subtract 2375973 from both sides: 27x = -2377540", "Divide both sides by 27: x = -2377540/27"], "final_answer": "-2377540/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 87999) = -1567", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 87999, \"c\": -1567}", "seed": "17146357721322957795", "semantic_fingerprint": "sha256:8a41af43fcaefbd7ca46ea1f7430ba52b6d39f9991e08def4bc2dc86addf4e02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004309", "prompt": "Solve the equation x = -22(x + 37731) - 3728 for x.", "solution_steps": ["Expand: x = -22x - 830082 - 3728", "Combine constants: x = -22x - 833810", "Add 22x to both sides: 23x = -833810", "Divide both sides by 23: x = -833810/23"], "final_answer": "-833810/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22(x + 37731) - 3728", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 37731, \"c\": 3728}", "seed": "7676202653184986201", "semantic_fingerprint": "sha256:e7ee8d8b0ce3b0840c2842e16eba921ba3d425bed43315b7469119b411a081a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004310", "prompt": "What is 5480 - (-5782) - 9552 * (-57859)?", "solution_steps": ["Subtract: 5480 - (-5782) = 11262", "Multiply: 9552 * (-57859) = -552669168", "Subtract: 11262 - (-552669168) = 552680430"], "final_answer": "552680430", "answer_type": "integer", "kind": "expression", "math_text": "5480 - (-5782) - 9552 * (-57859)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5480, \"b\": -5782, \"c\": 9552, \"d\": -57859}", "seed": "4870419331338285710", "semantic_fingerprint": "sha256:2111fca3f87cde93deac08384629b1fe50dced9485db691222185a27a3e11d85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004311", "prompt": "Evaluate: -1591 + (72773 + (-9098) - 9889)", "solution_steps": ["Add: 72773 + (-9098) = 63675", "Subtract: 63675 - 9889 = 53786", "Add: -1591 + 53786 = 52195"], "final_answer": "52195", "answer_type": "integer", "kind": "expression", "math_text": "-1591 + (72773 + (-9098) - 9889)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1591, \"b\": 72773, \"c\": -9098, \"d\": 9889}", "seed": "11129272538490896777", "semantic_fingerprint": "sha256:89aab63094dfa741b3b62aaba0cc6a0885ebcc9586b5f131f24b7da64374389e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004312", "prompt": "Solve the equation 39x + 4846 = 35(x + 9278) - 3429 for x.", "solution_steps": ["Expand: 39x + 4846 = 35x + 324730 - 3429", "Combine constants: 39x + 4846 = 35x + 321301", "Subtract 35x from both sides: 4x + 4846 = 321301", "Subtract 4846 from both sides: 4x = 316455", "Divide both sides by 4: x = 316455/4"], "final_answer": "316455/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 4846 = 35(x + 9278) - 3429", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4846, \"c\": 35, \"d\": 9278, \"e\": 3429}", "seed": "3728264641962113377", "semantic_fingerprint": "sha256:e5c1a3b7c51889ea0c5db4a2c9b1979805d5fb2366aac29e26e7a9b8e7887b70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004313", "prompt": "Solve the equation x - 82776 = -1584 for x.", "solution_steps": ["Add 82776 to both sides: x = 81192"], "final_answer": "81192", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 82776 = -1584", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82776, \"b\": -1584}", "seed": "10585488644816152539", "semantic_fingerprint": "sha256:3d25e55228010519c4d8eb334b5ad7da396a29d6de9e3ed410a11bd08a885506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004314", "prompt": "Solve for x: x + 99129 = -24(x + 9419) - 8153", "solution_steps": ["Expand: x + 99129 = -24x - 226056 - 8153", "Combine constants: x + 99129 = -24x - 234209", "Add 24x to both sides: 25x + 99129 = -234209", "Subtract 99129 from both sides: 25x = -333338", "Divide both sides by 25: x = -333338/25"], "final_answer": "-333338/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 99129 = -24(x + 9419) - 8153", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 99129, \"b\": -24, \"c\": 9419, \"d\": 8153}", "seed": "8565292528984853636", "semantic_fingerprint": "sha256:d51ed7b407cee404b93e8f0a68fdf274a8ac2cd017232de0cf50e5d071b72c82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004315", "prompt": "Solve the equation -31(x - 2169) = x - 2144 for x.", "solution_steps": ["Expand: -31x + 67239 = x - 2144", "Subtract x from both sides: -32x + 67239 = -2144", "Subtract 67239 from both sides: -32x = -69383", "Divide both sides by -32: x = 69383/32"], "final_answer": "69383/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 2169) = x - 2144", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 2169, \"c\": 2144}", "seed": "12384971738237003874", "semantic_fingerprint": "sha256:0910fdb44dfcc72143eb94e9df2eedbf019fa6a2e615df00b87ed41f242b0f02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004316", "prompt": "What value of x satisfies x - 4171 = 13x - 5311?", "solution_steps": ["Subtract 13x from both sides: -12x - 4171 = -5311", "Add 4171 to both sides: -12x = -1140", "Divide both sides by -12: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4171 = 13x - 5311", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4171, \"b\": 13, \"d\": -5311, \"x\": 95}", "seed": "7943842560497570589", "semantic_fingerprint": "sha256:3c58e5368b0d0ecacc7c7efa4d10b7f175e59eebc2b8a7bb3834664ad4b0cecf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004317", "prompt": "Compute: -8375 * (-47168) - 5681", "solution_steps": ["Multiply: -8375 * (-47168) = 395032000", "Subtract: 395032000 - 5681 = 395026319"], "final_answer": "395026319", "answer_type": "integer", "kind": "expression", "math_text": "-8375 * (-47168) - 5681", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8375, \"b\": -47168, \"c\": 5681}", "seed": "8994212594898174997", "semantic_fingerprint": "sha256:e15c69b792247c1a0c44c5bb6a7044924fbe5660cce8ba62657a870a65df2131", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004318", "prompt": "Find x: x + 5557 = 35(x + 5722) + 3488", "solution_steps": ["Expand: x + 5557 = 35x + 200270 + 3488", "Combine constants: x + 5557 = 35x + 203758", "Subtract 35x from both sides: -34x + 5557 = 203758", "Subtract 5557 from both sides: -34x = 198201", "Divide both sides by -34: x = -198201/34"], "final_answer": "-198201/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5557 = 35(x + 5722) + 3488", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5557, \"b\": 35, \"c\": 5722, \"d\": 3488}", "seed": "12583210038850493112", "semantic_fingerprint": "sha256:105824772e2067693c22ca844f8b0d71e2906ff13dc6c220a7058aaf410e510d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004319", "prompt": "Calculate: 8928 + (-5431)", "solution_steps": ["Add: 8928 + (-5431) = 3497"], "final_answer": "3497", "answer_type": "integer", "kind": "expression", "math_text": "8928 + (-5431)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8928, \"b\": -5431}", "seed": "5108551859852673542", "semantic_fingerprint": "sha256:0298756618a7c837949a5fa2c92914de185b9bff3c9e52406e60948a1f0e7ce0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004320", "prompt": "Compute: 20001 - (-33713)", "solution_steps": ["Subtract: 20001 - (-33713) = 53714"], "final_answer": "53714", "answer_type": "integer", "kind": "expression", "math_text": "20001 - (-33713)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 20001, \"b\": -33713}", "seed": "13764065454434465331", "semantic_fingerprint": "sha256:2583aeb890474d2523b0c86a2c904d30abbd1a95987396658d410e2cc40e8496", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004321", "prompt": "Evaluate: 20836 - (3031 - (-25174)) + (-1270)", "solution_steps": ["Subtract: 3031 - (-25174) = 28205", "Subtract: 20836 - 28205 = -7369", "Add: -7369 + (-1270) = -8639"], "final_answer": "-8639", "answer_type": "integer", "kind": "expression", "math_text": "20836 - (3031 - (-25174)) + (-1270)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20836, \"b\": 3031, \"c\": -25174, \"d\": -1270}", "seed": "17370416784368957622", "semantic_fingerprint": "sha256:01aabbdd26599054a3f80742671ca227503f80479070387f8a8b63d5aa7b7361", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004322", "prompt": "Evaluate: -8010 + 9331", "solution_steps": ["Add: -8010 + 9331 = 1321"], "final_answer": "1321", "answer_type": "integer", "kind": "expression", "math_text": "-8010 + 9331", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8010, \"b\": 9331}", "seed": "3044932937848334400", "semantic_fingerprint": "sha256:085458ce6ffce5dcaf4a46d31fceacbae2f2805fefbb006b8483dd5fdda74789", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004323", "prompt": "Evaluate: -1469 * (-48618 - (-82835))", "solution_steps": ["Subtract: -48618 - (-82835) = 34217", "Multiply: -1469 * 34217 = -50264773"], "final_answer": "-50264773", "answer_type": "integer", "kind": "expression", "math_text": "-1469 * (-48618 - (-82835))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1469, \"b\": -48618, \"c\": -82835}", "seed": "13528777729348562936", "semantic_fingerprint": "sha256:944f74c8c3c5382f8d2cbef1ec5f753f49f3dc429ebd438cd5fd3d10871a21ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004324", "prompt": "Find x: x + 39726 = 37(x - 4045) + 17425", "solution_steps": ["Expand: x + 39726 = 37x - 149665 + 17425", "Combine constants: x + 39726 = 37x - 132240", "Subtract 37x from both sides: -36x + 39726 = -132240", "Subtract 39726 from both sides: -36x = -171966", "Divide both sides by -36: x = 28661/6"], "final_answer": "28661/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 39726 = 37(x - 4045) + 17425", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39726, \"b\": 37, \"c\": 4045, \"d\": 17425}", "seed": "9445638805834448235", "semantic_fingerprint": "sha256:77b18e6d1fef35158c928838c48e217f8ccd9d6249abf3c3cf7ab1930588f631", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004325", "prompt": "Evaluate: 5637 + 55024 / (-74841)", "solution_steps": ["Divide: 55024 / (-74841) = -2896/3939", "Add: 5637 + (-2896/3939) = 22201247/3939"], "final_answer": "22201247/3939", "answer_type": "rational", "kind": "expression", "math_text": "5637 + 55024 / (-74841)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5637, \"b\": 55024, \"c\": -74841}", "seed": "12429533999492562428", "semantic_fingerprint": "sha256:81c4b47ae6b412ca60659926a8b823f9995510c855865e9ba7a3e0947e51594b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004326", "prompt": "Solve for x: -37(x - 4615) - 3156 = x", "solution_steps": ["Expand: -37x + 170755 - 3156 = x", "Combine constants: -37x + 167599 = x", "Subtract x from both sides: -38x + 167599 = 0", "Subtract 167599 from both sides: -38x = -167599", "Divide both sides by -38: x = 8821/2"], "final_answer": "8821/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x - 4615) - 3156 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 4615, \"c\": 3156}", "seed": "11282217099442134085", "semantic_fingerprint": "sha256:1706f5ca73ba769f2f05008a20c792f4521c98e4e1eb6055181b324528437b65", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004327", "prompt": "Calculate: 7766 / (-69410) * (-24169)", "solution_steps": ["Divide: 7766 / (-69410) = -353/3155", "Multiply: (-353/3155) * (-24169) = 8531657/3155"], "final_answer": "8531657/3155", "answer_type": "rational", "kind": "expression", "math_text": "7766 / (-69410) * (-24169)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7766, \"b\": -69410, \"c\": -24169}", "seed": "9610121653737637877", "semantic_fingerprint": "sha256:296372b8ba3794f31e3054e65306ca1d9713d0a5ee0de96970c33eb6ebeb1d62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004328", "prompt": "Compute: -2044 + (-66545) + (-89465) - (-18373) + 5866 * 5900", "solution_steps": ["Add: -2044 + (-66545) = -68589", "Add: -68589 + (-89465) = -158054", "Subtract: -158054 - (-18373) = -139681", "Multiply: 5866 * 5900 = 34609400", "Add: -139681 + 34609400 = 34469719"], "final_answer": "34469719", "answer_type": "integer", "kind": "expression", "math_text": "-2044 + (-66545) + (-89465) - (-18373) + 5866 * 5900", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2044, \"b\": -66545, \"c\": -89465, \"d\": -18373, \"e\": 5866, \"f\": 5900}", "seed": "6399933205483052863", "semantic_fingerprint": "sha256:e6d5176944420856ec31fec840b1897a31afbcf48ba6ae91d2a848c6f7a7a514", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004329", "prompt": "Compute: -69897 - (23972 - 4268 / (55777 + 93315 - 92224))", "solution_steps": ["Add: 55777 + 93315 = 149092", "Subtract: 149092 - 92224 = 56868", "Divide: 4268 / 56868 = 1067/14217", "Subtract: 23972 - 1067/14217 = 340808857/14217", "Subtract: -69897 - 340808857/14217 = -1334534506/14217"], "final_answer": "-1334534506/14217", "answer_type": "rational", "kind": "expression", "math_text": "-69897 - (23972 - 4268 / (55777 + 93315 - 92224))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (/ n (- (+ n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -69897, \"b\": 23972, \"c\": 4268, \"d\": 55777, \"e\": 93315, \"f\": 92224}", "seed": "4309782442614887253", "semantic_fingerprint": "sha256:cb0b2684152e7dcef799943aaccca5d00623d90dd2c777933b7bef3337f79914", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004330", "prompt": "Solve for x: x - 2312 = -22x - 2830", "solution_steps": ["Add 22x to both sides: 23x - 2312 = -2830", "Add 2312 to both sides: 23x = -518", "Divide both sides by 23: x = -518/23"], "final_answer": "-518/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2312 = -22x - 2830", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2312, \"b\": -22, \"c\": 2830}", "seed": "1193682105133438647", "semantic_fingerprint": "sha256:e9b201be09ac9568b9d3bdea512bb8958df1b58075a35222ee683d2392c0d2fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004331", "prompt": "Compute: (1812 + (-11952)) * 20278 / 1700", "solution_steps": ["Add: 1812 + (-11952) = -10140", "Multiply: -10140 * 20278 = -205618920", "Divide: -205618920 / 1700 = -10280946/85"], "final_answer": "-10280946/85", "answer_type": "rational", "kind": "expression", "math_text": "(1812 + (-11952)) * 20278 / 1700", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1812, \"b\": -11952, \"c\": 20278, \"d\": 1700}", "seed": "1317139396663707413", "semantic_fingerprint": "sha256:29e506d3575abed9e766c26e9ca538363900e715b771ffa3a4c9aeed23cce7d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004332", "prompt": "Compute: 43978 / (-5448)", "solution_steps": ["Divide: 43978 / (-5448) = -21989/2724"], "final_answer": "-21989/2724", "answer_type": "rational", "kind": "expression", "math_text": "43978 / (-5448)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43978, \"b\": -5448}", "seed": "16444493189669141846", "semantic_fingerprint": "sha256:0afd75735f18eb077ca2776bfa7abddaf17619556a3b2467598b71372b926fe1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004333", "prompt": "What value of x satisfies 37x = x - 2232?", "solution_steps": ["Subtract x from both sides: 36x = -2232", "Divide both sides by 36: x = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = x - 2232", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": -2232, \"x\": -62}", "seed": "16409193971439927589", "semantic_fingerprint": "sha256:b786596649b7a741139afcb36a5be7020aa4b4afcd79df94ded59252229dc02e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004334", "prompt": "Calculate: 6059 * (-5352 / (-4923)) + 1322", "solution_steps": ["Divide: -5352 / (-4923) = 1784/1641", "Multiply: 6059 * (1784/1641) = 10809256/1641", "Add: 10809256/1641 + 1322 = 12978658/1641"], "final_answer": "12978658/1641", "answer_type": "rational", "kind": "expression", "math_text": "6059 * (-5352 / (-4923)) + 1322", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6059, \"b\": -5352, \"c\": -4923, \"d\": 1322}", "seed": "8639657408178536538", "semantic_fingerprint": "sha256:2c98d166c8df2bc6784bf27299a8630e29deb5eb3efb38513408375e69fbee2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004335", "prompt": "What is 99649 + (6835 - (-6804 + (-9685 + 50271)) * (-6973))?", "solution_steps": ["Add: -9685 + 50271 = 40586", "Add: -6804 + 40586 = 33782", "Multiply: 33782 * (-6973) = -235561886", "Subtract: 6835 - (-235561886) = 235568721", "Add: 99649 + 235568721 = 235668370"], "final_answer": "235668370", "answer_type": "integer", "kind": "expression", "math_text": "99649 + (6835 - (-6804 + (-9685 + 50271)) * (-6973))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (* (+ n (+ n n)) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 99649, \"b\": 6835, \"c\": -6804, \"d\": -9685, \"e\": 50271, \"f\": -6973}", "seed": "17898705544704228724", "semantic_fingerprint": "sha256:10a37a3b691a62d8a549cc79839909c699ef79fd00975b19f4a3240146d9215f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004336", "prompt": "Compute: -6950 / (-2365)", "solution_steps": ["Divide: -6950 / (-2365) = 1390/473"], "final_answer": "1390/473", "answer_type": "rational", "kind": "expression", "math_text": "-6950 / (-2365)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6950, \"b\": -2365}", "seed": "16153568644651256185", "semantic_fingerprint": "sha256:a9ed5889efabfa1596acd642c53e135a977ce5edc755f996fc15f2a1e9c2ce7f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004337", "prompt": "Compute: (1524 - (-5926 - 23194 * (-4928))) / 6418", "solution_steps": ["Multiply: 23194 * (-4928) = -114300032", "Subtract: -5926 - (-114300032) = 114294106", "Subtract: 1524 - 114294106 = -114292582", "Divide: -114292582 / 6418 = -57146291/3209"], "final_answer": "-57146291/3209", "answer_type": "rational", "kind": "expression", "math_text": "(1524 - (-5926 - 23194 * (-4928))) / 6418", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1524, \"b\": -5926, \"c\": 23194, \"d\": -4928, \"e\": 6418}", "seed": "8019128690009027169", "semantic_fingerprint": "sha256:8e30a912f2293f233e5b97c53b34b23f5441cab3ad639fba301e75f91b069c36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004338", "prompt": "Find x: 40(x - 2461) + 5677 = 25(x - 3429) - 6123", "solution_steps": ["Expand: 40x - 98440 + 5677 = 25(x - 3429) - 6123", "Expand: 40x - 98440 + 5677 = 25x - 85725 - 6123", "Combine constants: 40x - 92763 = 25x - 85725 - 6123", "Combine constants: 40x - 92763 = 25x - 91848", "Subtract 25x from both sides: 15x - 92763 = -91848", "Add 92763 to both sides: 15x = 915", "Divide both sides by 15: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 2461) + 5677 = 25(x - 3429) - 6123", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 2461, \"c\": 5677, \"d\": 25, \"e\": 3429, \"g\": -6123, \"x\": 61}", "seed": "7335802559845783173", "semantic_fingerprint": "sha256:1b70f6121758dbe9087a2212c25c01fe3a35f94b1af6e2d900e13329c2f3ed49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004339", "prompt": "Evaluate: -96135 + 54869", "solution_steps": ["Add: -96135 + 54869 = -41266"], "final_answer": "-41266", "answer_type": "integer", "kind": "expression", "math_text": "-96135 + 54869", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -96135, \"b\": 54869}", "seed": "8542405259874384010", "semantic_fingerprint": "sha256:db9a864a277b66c835400c48fc4d46c26d11eb946cdea1c791fa0da3e1101f63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004340", "prompt": "Compute: 2825 / (-21490)", "solution_steps": ["Divide: 2825 / (-21490) = -565/4298"], "final_answer": "-565/4298", "answer_type": "rational", "kind": "expression", "math_text": "2825 / (-21490)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2825, \"b\": -21490}", "seed": "6087468527573704451", "semantic_fingerprint": "sha256:183e6433d12f8d44f2286b126f4708f2261c5d6714ebe0eb6d181baf54eed905", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004341", "prompt": "Evaluate: 7167 / (-20437) - (42974 + (-68041))", "solution_steps": ["Divide: 7167 / (-20437) = -7167/20437", "Add: 42974 + (-68041) = -25067", "Subtract: -7167/20437 - (-25067) = 512287112/20437"], "final_answer": "512287112/20437", "answer_type": "rational", "kind": "expression", "math_text": "7167 / (-20437) - (42974 + (-68041))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7167, \"b\": -20437, \"c\": 42974, \"d\": -68041}", "seed": "7819270210203421431", "semantic_fingerprint": "sha256:103f37fe37627e1fee98dbae12dfac1faff2d90b5a32d19165dd398fe5537077", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004342", "prompt": "Find x: -16(x + 3585) + 40292 = -25(x + 8225)", "solution_steps": ["Expand: -16x - 57360 + 40292 = -25(x + 8225)", "Expand: -16x - 57360 + 40292 = -25x - 205625", "Combine constants: -16x - 17068 = -25x - 205625", "Add 25x to both sides: 9x - 17068 = -205625", "Add 17068 to both sides: 9x = -188557", "Divide both sides by 9: x = -188557/9"], "final_answer": "-188557/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 3585) + 40292 = -25(x + 8225)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 3585, \"c\": 40292, \"d\": -25, \"e\": 8225}", "seed": "856446083629896432", "semantic_fingerprint": "sha256:e4e9a5c58fa5b623eb8b7fd1d6d1e44e492517e598064efe3710bef0632ea22d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004343", "prompt": "Solve the equation x + 1235 = 20x for x.", "solution_steps": ["Subtract 20x from both sides: -19x + 1235 = 0", "Subtract 1235 from both sides: -19x = -1235", "Divide both sides by -19: x = 65"], "final_answer": "65", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1235 = 20x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 1235, \"x\": 65}", "seed": "11071727212210540651", "semantic_fingerprint": "sha256:9699a92b48b7f73b6d96c9a4aeafc608282625180f8cefae922afae62ee2ef28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004344", "prompt": "Calculate: -3826 / (4629 + (-48176))", "solution_steps": ["Add: 4629 + (-48176) = -43547", "Divide: -3826 / (-43547) = 3826/43547"], "final_answer": "3826/43547", "answer_type": "rational", "kind": "expression", "math_text": "-3826 / (4629 + (-48176))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3826, \"b\": 4629, \"c\": -48176}", "seed": "849983521240007420", "semantic_fingerprint": "sha256:204740a53361395b967a15f14f04454e9014d067693d441cdc3f9923422702ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004345", "prompt": "What is -80167 / (-1774 + 4305)?", "solution_steps": ["Add: -1774 + 4305 = 2531", "Divide: -80167 / 2531 = -80167/2531"], "final_answer": "-80167/2531", "answer_type": "rational", "kind": "expression", "math_text": "-80167 / (-1774 + 4305)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -80167, \"b\": -1774, \"c\": 4305}", "seed": "12388112510178172532", "semantic_fingerprint": "sha256:147c91a7985ebf031d924ad4212b88e6d50c967e2183de7821801364868de17d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004346", "prompt": "What is -1124 + (-7218)?", "solution_steps": ["Add: -1124 + (-7218) = -8342"], "final_answer": "-8342", "answer_type": "integer", "kind": "expression", "math_text": "-1124 + (-7218)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1124, \"b\": -7218}", "seed": "15643042961663321125", "semantic_fingerprint": "sha256:8f80b76c0ac30ffb343828c136bb132c089cda9ffb667e9e8ca66fe53d1cfaea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004347", "prompt": "Solve the equation 24x + 6217 = x + 5372 for x.", "solution_steps": ["Subtract x from both sides: 23x + 6217 = 5372", "Subtract 6217 from both sides: 23x = -845", "Divide both sides by 23: x = -845/23"], "final_answer": "-845/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x + 6217 = x + 5372", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6217, \"c\": 5372}", "seed": "17698891312050280234", "semantic_fingerprint": "sha256:c0f8c8814ef43e846349f4393fde656fec58c3b8202230eb362f3add6cc6bdd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004348", "prompt": "What is -8272 - (3772 + 2901) - 1205?", "solution_steps": ["Add: 3772 + 2901 = 6673", "Subtract: -8272 - 6673 = -14945", "Subtract: -14945 - 1205 = -16150"], "final_answer": "-16150", "answer_type": "integer", "kind": "expression", "math_text": "-8272 - (3772 + 2901) - 1205", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8272, \"b\": 3772, \"c\": 2901, \"d\": 1205}", "seed": "8729069076725495222", "semantic_fingerprint": "sha256:851815120274413383b3a6e4c2fb8e44b4f87bf00f0e5464fa66f0a57373dad2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004349", "prompt": "What is -56988 + (-99851) + (-4086 + (-4958))?", "solution_steps": ["Add: -56988 + (-99851) = -156839", "Add: -4086 + (-4958) = -9044", "Add: -156839 + (-9044) = -165883"], "final_answer": "-165883", "answer_type": "integer", "kind": "expression", "math_text": "-56988 + (-99851) + (-4086 + (-4958))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -56988, \"b\": -99851, \"c\": -4086, \"d\": -4958}", "seed": "15895983439651062140", "semantic_fingerprint": "sha256:67a0a920f53e121a04fedc539554fae399d57916910c0e1ba0188e0ddbcf4ae5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004350", "prompt": "Compute: 2146 - (-59996)", "solution_steps": ["Subtract: 2146 - (-59996) = 62142"], "final_answer": "62142", "answer_type": "integer", "kind": "expression", "math_text": "2146 - (-59996)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2146, \"b\": -59996}", "seed": "13162070677900820668", "semantic_fingerprint": "sha256:c8b2cd9bdd5e14dbfb49ce47d18453e09b8b59b7af99140d64f62baea58acc31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004351", "prompt": "Evaluate: 9812 - (-50518) - 8555", "solution_steps": ["Subtract: 9812 - (-50518) = 60330", "Subtract: 60330 - 8555 = 51775"], "final_answer": "51775", "answer_type": "integer", "kind": "expression", "math_text": "9812 - (-50518) - 8555", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9812, \"b\": -50518, \"c\": 8555}", "seed": "12226789184903605426", "semantic_fingerprint": "sha256:f2f6b38d7a2b9b8757641145568fbf228623dbebf35c96c05c33f2949ad5c4e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004352", "prompt": "What is -81517 / 5997?", "solution_steps": ["Divide: -81517 / 5997 = -81517/5997"], "final_answer": "-81517/5997", "answer_type": "rational", "kind": "expression", "math_text": "-81517 / 5997", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81517, \"b\": 5997}", "seed": "16644779317755959868", "semantic_fingerprint": "sha256:52bd0e95f3c97cb81da0ab0bb54f831086e9ae95167e3a008bfba3a6e40cdb1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004353", "prompt": "What value of x satisfies 13(x - 42475) = -25(x - 1975) - 90261?", "solution_steps": ["Expand: 13x - 552175 = -25(x - 1975) - 90261", "Expand: 13x - 552175 = -25x + 49375 - 90261", "Combine constants: 13x - 552175 = -25x - 40886", "Add 25x to both sides: 38x - 552175 = -40886", "Add 552175 to both sides: 38x = 511289", "Divide both sides by 38: x = 511289/38"], "final_answer": "511289/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 42475) = -25(x - 1975) - 90261", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 42475, \"c\": -25, \"d\": 1975, \"e\": 90261}", "seed": "5751870489249907737", "semantic_fingerprint": "sha256:4d129fb1eff0ee309bbc9d487a4a11cfa1c8f117df780b8539d737ae52bad96d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004354", "prompt": "What is 2186 / (-3585)?", "solution_steps": ["Divide: 2186 / (-3585) = -2186/3585"], "final_answer": "-2186/3585", "answer_type": "rational", "kind": "expression", "math_text": "2186 / (-3585)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2186, \"b\": -3585}", "seed": "3173682708331028141", "semantic_fingerprint": "sha256:288d25eb58d92780ac0c7c2624c63c6bc0b0d18e964827a17df3eb7fc86e92b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004355", "prompt": "What value of x satisfies -39x = x + 13637?", "solution_steps": ["Subtract x from both sides: -40x = 13637", "Divide both sides by -40: x = -13637/40"], "final_answer": "-13637/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39x = x + 13637", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 13637}", "seed": "11786071575722027731", "semantic_fingerprint": "sha256:a9210ae38e071643c54a0b89c285379640c3c59e21fb7bf7762de7bc08c09b86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004356", "prompt": "What is 46241 - 1813?", "solution_steps": ["Subtract: 46241 - 1813 = 44428"], "final_answer": "44428", "answer_type": "integer", "kind": "expression", "math_text": "46241 - 1813", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46241, \"b\": 1813}", "seed": "5101573845885829498", "semantic_fingerprint": "sha256:8789a672bcaa2fef30cdbc70e989af68d9bcfea003751f8dd355c50a54a266ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004357", "prompt": "What value of x satisfies x - 83560 = -33(x + 93036)?", "solution_steps": ["Expand: x - 83560 = -33x - 3070188", "Add 33x to both sides: 34x - 83560 = -3070188", "Add 83560 to both sides: 34x = -2986628", "Divide both sides by 34: x = -87842"], "final_answer": "-87842", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 83560 = -33(x + 93036)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83560, \"b\": -33, \"c\": 93036}", "seed": "9400514177566665857", "semantic_fingerprint": "sha256:8e90bcc34d2db1796feb72d1987af3006e7d6b92ec59ad124437b79dfe9d196e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004358", "prompt": "Compute: 95767 / (-61828)", "solution_steps": ["Divide: 95767 / (-61828) = -95767/61828"], "final_answer": "-95767/61828", "answer_type": "rational", "kind": "expression", "math_text": "95767 / (-61828)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95767, \"b\": -61828}", "seed": "4237568064140623684", "semantic_fingerprint": "sha256:fdcade08826f1c26297f1def439e8657e5200d50a90d5ea57c66ec531114468f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004359", "prompt": "What value of x satisfies x + 71517 = 15x + 69417?", "solution_steps": ["Subtract 15x from both sides: -14x + 71517 = 69417", "Subtract 71517 from both sides: -14x = -2100", "Divide both sides by -14: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 71517 = 15x + 69417", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71517, \"b\": 15, \"d\": 69417, \"x\": 150}", "seed": "1603343296520761046", "semantic_fingerprint": "sha256:0755e7c2eafb1e45cb247739ef4ee4a4d447907083f03effea5c77d9a556a451", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004360", "prompt": "Compute: 22198 / 5005 - 66135", "solution_steps": ["Divide: 22198 / 5005 = 2018/455", "Subtract: 2018/455 - 66135 = -30089407/455"], "final_answer": "-30089407/455", "answer_type": "rational", "kind": "expression", "math_text": "22198 / 5005 - 66135", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22198, \"b\": 5005, \"c\": 66135}", "seed": "7704561717164832093", "semantic_fingerprint": "sha256:954fee12628c94ed56690cbba8b1c3237510d89873be2d30b68156a15c77a3ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004361", "prompt": "Compute: 4528 + (6458 * 1667 + 27768 / (-2743))", "solution_steps": ["Multiply: 6458 * 1667 = 10765486", "Divide: 27768 / (-2743) = -2136/211", "Add: 10765486 + (-2136/211) = 2271515410/211", "Add: 4528 + 2271515410/211 = 2272470818/211"], "final_answer": "2272470818/211", "answer_type": "rational", "kind": "expression", "math_text": "4528 + (6458 * 1667 + 27768 / (-2743))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4528, \"b\": 6458, \"c\": 1667, \"d\": 27768, \"e\": -2743}", "seed": "4270796628070779889", "semantic_fingerprint": "sha256:4595e3cf868837a7156fa0619d667b2d866182f064aaa5e7aa31eda2863add87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004362", "prompt": "Evaluate: 3058 - 6307", "solution_steps": ["Subtract: 3058 - 6307 = -3249"], "final_answer": "-3249", "answer_type": "integer", "kind": "expression", "math_text": "3058 - 6307", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3058, \"b\": 6307}", "seed": "1269391441621150649", "semantic_fingerprint": "sha256:bc2cff353a6a36db5a3d034ed82d1ce3ecb0a248629d82ff04fc15ae53462b69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004363", "prompt": "What value of x satisfies 33x - 6734 = 31(x + 83102) - 66774?", "solution_steps": ["Expand: 33x - 6734 = 31x + 2576162 - 66774", "Combine constants: 33x - 6734 = 31x + 2509388", "Subtract 31x from both sides: 2x - 6734 = 2509388", "Add 6734 to both sides: 2x = 2516122", "Divide both sides by 2: x = 1258061"], "final_answer": "1258061", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 6734 = 31(x + 83102) - 66774", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 6734, \"c\": 31, \"d\": 83102, \"e\": 66774}", "seed": "5848465864134313676", "semantic_fingerprint": "sha256:d92b58c08e584e3985ed2657b5c3fca61b6ca45f147c8378eccc900e03e57e9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004364", "prompt": "Calculate: 4674 + (4969 - 2136 / 51416)", "solution_steps": ["Divide: 2136 / 51416 = 267/6427", "Subtract: 4969 - 267/6427 = 31935496/6427", "Add: 4674 + 31935496/6427 = 61975294/6427"], "final_answer": "61975294/6427", "answer_type": "rational", "kind": "expression", "math_text": "4674 + (4969 - 2136 / 51416)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4674, \"b\": 4969, \"c\": 2136, \"d\": 51416}", "seed": "17143377432735537275", "semantic_fingerprint": "sha256:69dbd41e4d036da6fd6669349cf96620524f061c2d073c808e11aec9629db663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004365", "prompt": "Solve the equation -21x + 2310 = 21x for x.", "solution_steps": ["Subtract 21x from both sides: -42x + 2310 = 0", "Subtract 2310 from both sides: -42x = -2310", "Divide both sides by -42: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x + 2310 = 21x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 21, \"d\": 2310, \"x\": 55}", "seed": "1361518235272776504", "semantic_fingerprint": "sha256:21821cbd275812107205336f1eff8dd659992300f97e556ab3e1faba63b45dc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004366", "prompt": "Solve the equation -18(x + 9700) + 32056 = -37(x - 4637) - 60912 for x.", "solution_steps": ["Expand: -18x - 174600 + 32056 = -37(x - 4637) - 60912", "Expand: -18x - 174600 + 32056 = -37x + 171569 - 60912", "Combine constants: -18x - 142544 = -37x + 171569 - 60912", "Combine constants: -18x - 142544 = -37x + 110657", "Add 37x to both sides: 19x - 142544 = 110657", "Add 142544 to both sides: 19x = 253201", "Divide both sides by 19: x = 253201/19"], "final_answer": "253201/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x + 9700) + 32056 = -37(x - 4637) - 60912", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 9700, \"c\": 32056, \"d\": -37, \"e\": 4637, \"f\": 60912}", "seed": "8794872692663388163", "semantic_fingerprint": "sha256:42aec83bf8e4c99a24e84de2d81e9a08b5dc023e7c98b6fb0755d38fed67beb7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004367", "prompt": "Solve the equation 40x - 3003 = x for x.", "solution_steps": ["Subtract x from both sides: 39x - 3003 = 0", "Add 3003 to both sides: 39x = 3003", "Divide both sides by 39: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 3003 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -3003, \"x\": 77}", "seed": "11051500436039459619", "semantic_fingerprint": "sha256:fb89c97fe5ac81c9f4cae6801ebe9516611b2ab2154c0c95ca90dfe80c3b2cc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004368", "prompt": "Compute: -93460 - (-80771) / (-82370)", "solution_steps": ["Divide: -80771 / (-82370) = 80771/82370", "Subtract: -93460 - 80771/82370 = -7698380971/82370"], "final_answer": "-7698380971/82370", "answer_type": "rational", "kind": "expression", "math_text": "-93460 - (-80771) / (-82370)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -93460, \"b\": -80771, \"c\": -82370}", "seed": "13986462857421727004", "semantic_fingerprint": "sha256:06264bc1250652b6259f21e88bb510b60c067ec76138a9905a915dc14ba91f3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004369", "prompt": "Solve for x: 29x + 37851 = x + 41155", "solution_steps": ["Subtract x from both sides: 28x + 37851 = 41155", "Subtract 37851 from both sides: 28x = 3304", "Divide both sides by 28: x = 118"], "final_answer": "118", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x + 37851 = x + 41155", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 37851, \"d\": 41155, \"x\": 118}", "seed": "1389847405661785862", "semantic_fingerprint": "sha256:bb8f3e80237fde55a993b4c428ad413a545e78ac9aff22c2ce3281ff407251bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004370", "prompt": "Evaluate: 2190 - (5650 - 54773)", "solution_steps": ["Subtract: 5650 - 54773 = -49123", "Subtract: 2190 - (-49123) = 51313"], "final_answer": "51313", "answer_type": "integer", "kind": "expression", "math_text": "2190 - (5650 - 54773)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2190, \"b\": 5650, \"c\": 54773}", "seed": "5430252691200444032", "semantic_fingerprint": "sha256:b06371c9adbfb1d6a9ecae343f2f8de92c3d6c762951eebdbae16b9c2d1385fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004371", "prompt": "Calculate: 7853 - (-93058) / 7326", "solution_steps": ["Divide: -93058 / 7326 = -46529/3663", "Subtract: 7853 - (-46529/3663) = 28812068/3663"], "final_answer": "28812068/3663", "answer_type": "rational", "kind": "expression", "math_text": "7853 - (-93058) / 7326", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7853, \"b\": -93058, \"c\": 7326}", "seed": "5613164468446970897", "semantic_fingerprint": "sha256:6eb203566d28459229e69ec0766dcd4f61bfba348404dc521bba0d98e8f0df1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004372", "prompt": "Calculate: -8307 * (81261 - 14249)", "solution_steps": ["Subtract: 81261 - 14249 = 67012", "Multiply: -8307 * 67012 = -556668684"], "final_answer": "-556668684", "answer_type": "integer", "kind": "expression", "math_text": "-8307 * (81261 - 14249)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8307, \"b\": 81261, \"c\": 14249}", "seed": "5232767925933830871", "semantic_fingerprint": "sha256:785c478700e590e562d2bb99653f1e7c374470e4a298c26aa20f3e42a3b8e67c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004373", "prompt": "Calculate: 99921 * 84386 - (-50023)", "solution_steps": ["Multiply: 99921 * 84386 = 8431933506", "Subtract: 8431933506 - (-50023) = 8431983529"], "final_answer": "8431983529", "answer_type": "integer", "kind": "expression", "math_text": "99921 * 84386 - (-50023)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99921, \"b\": 84386, \"c\": -50023}", "seed": "14387598936011279845", "semantic_fingerprint": "sha256:61f9f7e663a4304dec7f2d690505527433abacc641076a5fee583b06f11c3ff6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004374", "prompt": "What is 3795 / 68159 * (10539 - 2550)?", "solution_steps": ["Divide: 3795 / 68159 = 3795/68159", "Subtract: 10539 - 2550 = 7989", "Multiply: (3795/68159) * 7989 = 30318255/68159"], "final_answer": "30318255/68159", "answer_type": "rational", "kind": "expression", "math_text": "3795 / 68159 * (10539 - 2550)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3795, \"b\": 68159, \"c\": 10539, \"d\": 2550}", "seed": "17810120361064860213", "semantic_fingerprint": "sha256:8e4df2ec0b1edea780e7638a3fc82ba646615262772d47adb3ea1e8fdc6ca191", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004375", "prompt": "Solve for x: -17x - 67170 = 23x", "solution_steps": ["Subtract 23x from both sides: -40x - 67170 = 0", "Add 67170 to both sides: -40x = 67170", "Divide both sides by -40: x = -6717/4"], "final_answer": "-6717/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x - 67170 = 23x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 67170, \"c\": 23}", "seed": "1459244092040830090", "semantic_fingerprint": "sha256:a749ac070ac8b7d36d175d6b8f015865d8733fe7bdba2f093612d8262e6ebbbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004376", "prompt": "Solve the equation 33x - 9883 = x - 3803 for x.", "solution_steps": ["Subtract x from both sides: 32x - 9883 = -3803", "Add 9883 to both sides: 32x = 6080", "Divide both sides by 32: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 9883 = x - 3803", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 9883, \"d\": -3803, \"x\": 190}", "seed": "9786953896089000590", "semantic_fingerprint": "sha256:aae60bf9bcdbd7f01b2564a3e231262db43bdc0bee2c076911e6f1cf86a9b673", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004377", "prompt": "What value of x satisfies 26x - 7127 = 24(x + 4805)?", "solution_steps": ["Expand: 26x - 7127 = 24x + 115320", "Subtract 24x from both sides: 2x - 7127 = 115320", "Add 7127 to both sides: 2x = 122447", "Divide both sides by 2: x = 122447/2"], "final_answer": "122447/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x - 7127 = 24(x + 4805)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 7127, \"c\": 24, \"d\": 4805}", "seed": "17367760234543931915", "semantic_fingerprint": "sha256:574e246a332008679f5dbbb37f6abd86d03b56bec8b6d0a5de361b026e534c7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004378", "prompt": "Calculate: 9946 * (6045 - 4696)", "solution_steps": ["Subtract: 6045 - 4696 = 1349", "Multiply: 9946 * 1349 = 13417154"], "final_answer": "13417154", "answer_type": "integer", "kind": "expression", "math_text": "9946 * (6045 - 4696)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9946, \"b\": 6045, \"c\": 4696}", "seed": "1397723860415396667", "semantic_fingerprint": "sha256:6526a5244409b82d5a33577f4d8315acb292cdbaf495a9e33b1d0420102093f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004379", "prompt": "Evaluate: -7859 * (-5914) / (-21501)", "solution_steps": ["Multiply: -7859 * (-5914) = 46478126", "Divide: 46478126 / (-21501) = -46478126/21501"], "final_answer": "-46478126/21501", "answer_type": "rational", "kind": "expression", "math_text": "-7859 * (-5914) / (-21501)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7859, \"b\": -5914, \"c\": -21501}", "seed": "11512525196854705303", "semantic_fingerprint": "sha256:f4b8fda6ce95081fd1d538ef368fd4095d8231cb203cb94a1a324782423539f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004380", "prompt": "Evaluate: -69605 - 5474 - 7831", "solution_steps": ["Subtract: -69605 - 5474 = -75079", "Subtract: -75079 - 7831 = -82910"], "final_answer": "-82910", "answer_type": "integer", "kind": "expression", "math_text": "-69605 - 5474 - 7831", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69605, \"b\": 5474, \"c\": 7831}", "seed": "4808900914085677929", "semantic_fingerprint": "sha256:d4131724a884a4ffd02bf19fb3354e4613f8bcbe10614ff358bc3dd0ab39fff9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004381", "prompt": "Calculate: (69690 + 8336) / 90152", "solution_steps": ["Add: 69690 + 8336 = 78026", "Divide: 78026 / 90152 = 39013/45076"], "final_answer": "39013/45076", "answer_type": "rational", "kind": "expression", "math_text": "(69690 + 8336) / 90152", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69690, \"b\": 8336, \"c\": 90152}", "seed": "7016781761455391238", "semantic_fingerprint": "sha256:c8cd9a3a719e1f0ffb5c537af0b02706ea323a1ebdf4ee7b6c59f0f2bd2f760a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004382", "prompt": "What is 8892 - ((76198 - 1298) / 94890 - (-43583 - (-1117)))?", "solution_steps": ["Subtract: 76198 - 1298 = 74900", "Divide: 74900 / 94890 = 7490/9489", "Subtract: -43583 - (-1117) = -42466", "Subtract: 7490/9489 - (-42466) = 402967364/9489", "Subtract: 8892 - 402967364/9489 = -318591176/9489"], "final_answer": "-318591176/9489", "answer_type": "rational", "kind": "expression", "math_text": "8892 - ((76198 - 1298) / 94890 - (-43583 - (-1117)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ (- n n) n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8892, \"b\": 76198, \"c\": 1298, \"d\": 94890, \"e\": -43583, \"f\": -1117}", "seed": "15116098534331421173", "semantic_fingerprint": "sha256:3d612c85369e5236c37af10c555537aa1632bd41cd004aa331321783d789a7e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004383", "prompt": "Calculate: 7313 + (-8877)", "solution_steps": ["Add: 7313 + (-8877) = -1564"], "final_answer": "-1564", "answer_type": "integer", "kind": "expression", "math_text": "7313 + (-8877)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7313, \"b\": -8877}", "seed": "12205351968056431560", "semantic_fingerprint": "sha256:3eb589ed4c3a9e51d3078288d28a76c9c8cc20b167563c6bb047c450c376c1fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004384", "prompt": "What value of x satisfies -33x = 32x?", "solution_steps": ["Subtract 32x from both sides: -65x = 0", "Divide both sides by -65: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x = 32x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 32}", "seed": "12373719713944578835", "semantic_fingerprint": "sha256:2d08d678c6dbe710325b7fa6c1721134c238d9cf4009abe579d8401f1e01783b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004385", "prompt": "What is 56460 - 32340 + (6085 + (-4372 - (-38850)))?", "solution_steps": ["Subtract: 56460 - 32340 = 24120", "Subtract: -4372 - (-38850) = 34478", "Add: 6085 + 34478 = 40563", "Add: 24120 + 40563 = 64683"], "final_answer": "64683", "answer_type": "integer", "kind": "expression", "math_text": "56460 - 32340 + (6085 + (-4372 - (-38850)))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 56460, \"b\": 32340, \"c\": 6085, \"d\": -4372, \"e\": -38850}", "seed": "15019379302282600545", "semantic_fingerprint": "sha256:3d828d22e1dc4f7ee1d3aa07c2a3879476c23f146a3c65d69a641e0228660f3d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004386", "prompt": "Find x: x - 52868 = 33x - 51076", "solution_steps": ["Subtract 33x from both sides: -32x - 52868 = -51076", "Add 52868 to both sides: -32x = 1792", "Divide both sides by -32: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 52868 = 33x - 51076", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52868, \"b\": 33, \"d\": -51076, \"x\": -56}", "seed": "10352834353328931635", "semantic_fingerprint": "sha256:e6dc80669a46a628a4b39a35988a0d2b0d6200121300023ace2e76d07b408311", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004387", "prompt": "Compute: -5794 / 8994 + 9555", "solution_steps": ["Divide: -5794 / 8994 = -2897/4497", "Add: -2897/4497 + 9555 = 42965938/4497"], "final_answer": "42965938/4497", "answer_type": "rational", "kind": "expression", "math_text": "-5794 / 8994 + 9555", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5794, \"b\": 8994, \"c\": 9555}", "seed": "1917874004527839", "semantic_fingerprint": "sha256:e9b9b69f47c48e5a0b3f4e2bd8edb4612394a8393edf7e5f81fd02ada179f00f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004388", "prompt": "Evaluate: (1718 + 7241) * 29471 + 1860", "solution_steps": ["Add: 1718 + 7241 = 8959", "Multiply: 8959 * 29471 = 264030689", "Add: 264030689 + 1860 = 264032549"], "final_answer": "264032549", "answer_type": "integer", "kind": "expression", "math_text": "(1718 + 7241) * 29471 + 1860", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1718, \"b\": 7241, \"c\": 29471, \"d\": 1860}", "seed": "9453179296642034639", "semantic_fingerprint": "sha256:787c1e573670a54cbe973746fef60e2ae441b8e6341a5dfbfadf621ad64f10e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004389", "prompt": "What value of x satisfies 26(x - 19248) - 3002 = 32(x + 72408) - 2957?", "solution_steps": ["Expand: 26x - 500448 - 3002 = 32(x + 72408) - 2957", "Expand: 26x - 500448 - 3002 = 32x + 2317056 - 2957", "Combine constants: 26x - 503450 = 32x + 2317056 - 2957", "Combine constants: 26x - 503450 = 32x + 2314099", "Subtract 32x from both sides: -6x - 503450 = 2314099", "Add 503450 to both sides: -6x = 2817549", "Divide both sides by -6: x = -939183/2"], "final_answer": "-939183/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 19248) - 3002 = 32(x + 72408) - 2957", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 19248, \"c\": 3002, \"d\": 32, \"e\": 72408, \"f\": 2957}", "seed": "13580626156653164752", "semantic_fingerprint": "sha256:1d867df2dbe63f6260182b64035cd78434859ac83e0c12f5e3a9df473a4ff5c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004390", "prompt": "What value of x satisfies 23(x - 9837) = -26x?", "solution_steps": ["Expand: 23x - 226251 = -26x", "Add 26x to both sides: 49x - 226251 = 0", "Add 226251 to both sides: 49x = 226251", "Divide both sides by 49: x = 226251/49"], "final_answer": "226251/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 9837) = -26x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 9837, \"c\": -26}", "seed": "15650668283692466761", "semantic_fingerprint": "sha256:8e8a6dfb182659209178e5da22782ca96f771633ca669c8c499e7bebcf1ede83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004391", "prompt": "Compute: -4333 - 3683", "solution_steps": ["Subtract: -4333 - 3683 = -8016"], "final_answer": "-8016", "answer_type": "integer", "kind": "expression", "math_text": "-4333 - 3683", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4333, \"b\": 3683}", "seed": "2473990565173036472", "semantic_fingerprint": "sha256:cbcbfcf90d464e91ccf3cc161950769a29c2760c9439798a2cf0e6b648b38e1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004392", "prompt": "What is -6146 - (-5510 + 3874)?", "solution_steps": ["Add: -5510 + 3874 = -1636", "Subtract: -6146 - (-1636) = -4510"], "final_answer": "-4510", "answer_type": "integer", "kind": "expression", "math_text": "-6146 - (-5510 + 3874)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6146, \"b\": -5510, \"c\": 3874}", "seed": "8001487598033710846", "semantic_fingerprint": "sha256:681d99315ce52534d2fc3eb640542578853db2fd5bc01f24e9007847b36a083a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004393", "prompt": "Compute: (24453 + 4296) * 3219 / (-2226) + (-7422 - 75174)", "solution_steps": ["Add: 24453 + 4296 = 28749", "Multiply: 28749 * 3219 = 92543031", "Divide: 92543031 / (-2226) = -4406811/106", "Subtract: -7422 - 75174 = -82596", "Add: -4406811/106 + (-82596) = -13161987/106"], "final_answer": "-13161987/106", "answer_type": "rational", "kind": "expression", "math_text": "(24453 + 4296) * 3219 / (-2226) + (-7422 - 75174)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24453, \"b\": 4296, \"c\": 3219, \"d\": -2226, \"e\": -7422, \"f\": 75174}", "seed": "10215352010860347280", "semantic_fingerprint": "sha256:f0e15233ea596cb64b7d84e85cb2f2c08c5f46a4d4e5ef5544a9d663fe1e6ab1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004394", "prompt": "Find x: x + 49766 = -15(x + 4922) + 2519", "solution_steps": ["Expand: x + 49766 = -15x - 73830 + 2519", "Combine constants: x + 49766 = -15x - 71311", "Add 15x to both sides: 16x + 49766 = -71311", "Subtract 49766 from both sides: 16x = -121077", "Divide both sides by 16: x = -121077/16"], "final_answer": "-121077/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 49766 = -15(x + 4922) + 2519", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 49766, \"b\": -15, \"c\": 4922, \"d\": 2519}", "seed": "10244662667232820425", "semantic_fingerprint": "sha256:067ecf4ee3db3af666f997ea1f7c685625256d13527fddafbbd086345c981659", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004395", "prompt": "Compute: -6350 * 7040", "solution_steps": ["Multiply: -6350 * 7040 = -44704000"], "final_answer": "-44704000", "answer_type": "integer", "kind": "expression", "math_text": "-6350 * 7040", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6350, \"b\": 7040}", "seed": "3617416724169449385", "semantic_fingerprint": "sha256:744954acd2cf2acdbeda14d3769dd677e0d0eea60c9a4e1ae7feb08f85cb07c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004396", "prompt": "Find x: 35(x + 9977) - 98272 = 32(x + 7854)", "solution_steps": ["Expand: 35x + 349195 - 98272 = 32(x + 7854)", "Expand: 35x + 349195 - 98272 = 32x + 251328", "Combine constants: 35x + 250923 = 32x + 251328", "Subtract 32x from both sides: 3x + 250923 = 251328", "Subtract 250923 from both sides: 3x = 405", "Divide both sides by 3: x = 135"], "final_answer": "135", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 9977) - 98272 = 32(x + 7854)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9977, \"c\": 32, \"d\": 7854, \"f\": -98272, \"x\": 135}", "seed": "5036132756528641437", "semantic_fingerprint": "sha256:14797f88b15f8892c7680424696c3d35b57bb40a3534cde2c7bc16ce2d116b02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004397", "prompt": "What value of x satisfies x = 31x - 72796?", "solution_steps": ["Subtract 31x from both sides: -30x = -72796", "Divide both sides by -30: x = 36398/15"], "final_answer": "36398/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 31x - 72796", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 72796}", "seed": "3963677065925611504", "semantic_fingerprint": "sha256:573fdc5f57e097804c299bd86dd3c62ef1e851049ced24ad227e50ccfcffd4e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004398", "prompt": "Compute: (4374 - (-1529 + 11959)) / (-3252) * 8049", "solution_steps": ["Add: -1529 + 11959 = 10430", "Subtract: 4374 - 10430 = -6056", "Divide: -6056 / (-3252) = 1514/813", "Multiply: (1514/813) * 8049 = 4062062/271"], "final_answer": "4062062/271", "answer_type": "rational", "kind": "expression", "math_text": "(4374 - (-1529 + 11959)) / (-3252) * 8049", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4374, \"b\": -1529, \"c\": 11959, \"d\": -3252, \"e\": 8049}", "seed": "13300078516078000357", "semantic_fingerprint": "sha256:3844eb1701c7549610b59dd71758b79a76c0c254bae02951c9d0bc7a0b568442", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004399", "prompt": "What is -7823 + 86853 / (-65970 / (-28959))?", "solution_steps": ["Divide: -65970 / (-28959) = 21990/9653", "Divide: 86853 / (21990/9653) = 279464003/7330", "Add: -7823 + 279464003/7330 = 222121413/7330"], "final_answer": "222121413/7330", "answer_type": "rational", "kind": "expression", "math_text": "-7823 + 86853 / (-65970 / (-28959))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7823, \"b\": 86853, \"c\": -65970, \"d\": -28959}", "seed": "989853358137625976", "semantic_fingerprint": "sha256:d12f40f2e34c636a224a782e57c232e7d14f63e20e2f653fe72c24307612886e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004400", "prompt": "What value of x satisfies 14x + 4352 = x + 2298?", "solution_steps": ["Subtract x from both sides: 13x + 4352 = 2298", "Subtract 4352 from both sides: 13x = -2054", "Divide both sides by 13: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 4352 = x + 2298", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4352, \"d\": 2298, \"x\": -158}", "seed": "12289032965969425439", "semantic_fingerprint": "sha256:b79f804e8531f5fd553b4b9a70e4b5bacd0661c35a7778143ed45dbdd05fea6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004401", "prompt": "Compute: -2232 - 8438 + 8332", "solution_steps": ["Subtract: -2232 - 8438 = -10670", "Add: -10670 + 8332 = -2338"], "final_answer": "-2338", "answer_type": "integer", "kind": "expression", "math_text": "-2232 - 8438 + 8332", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2232, \"b\": 8438, \"c\": 8332}", "seed": "15643215010056050353", "semantic_fingerprint": "sha256:dee5d923439136d27b1b6830c208c6e09c175989c5af6f0c16f299dca8b2f48b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004402", "prompt": "Solve the equation 28(x + 44694) = 13(x + 62326) for x.", "solution_steps": ["Expand: 28x + 1251432 = 13(x + 62326)", "Expand: 28x + 1251432 = 13x + 810238", "Subtract 13x from both sides: 15x + 1251432 = 810238", "Subtract 1251432 from both sides: 15x = -441194", "Divide both sides by 15: x = -441194/15"], "final_answer": "-441194/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 44694) = 13(x + 62326)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 44694, \"c\": 13, \"d\": 62326}", "seed": "12060074276277353400", "semantic_fingerprint": "sha256:843c8ca6469c0e4951690a4a457d63137373167a995793535fbbac9ee756eadd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004403", "prompt": "Compute: -6102 * 8555 - 6601 * 9102", "solution_steps": ["Multiply: -6102 * 8555 = -52202610", "Multiply: 6601 * 9102 = 60082302", "Subtract: -52202610 - 60082302 = -112284912"], "final_answer": "-112284912", "answer_type": "integer", "kind": "expression", "math_text": "-6102 * 8555 - 6601 * 9102", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6102, \"b\": 8555, \"c\": 6601, \"d\": 9102}", "seed": "9234533976399248614", "semantic_fingerprint": "sha256:6cd8631b8280721ef907687f14373228e687f65ebb4b7e4147ca2e48bea586d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004404", "prompt": "What value of x satisfies x - 9192 = 18x - 6591?", "solution_steps": ["Subtract 18x from both sides: -17x - 9192 = -6591", "Add 9192 to both sides: -17x = 2601", "Divide both sides by -17: x = -153"], "final_answer": "-153", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9192 = 18x - 6591", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9192, \"b\": 18, \"d\": -6591, \"x\": -153}", "seed": "4207610849728485659", "semantic_fingerprint": "sha256:4faf82d6b08a328fa7079cbef485c78d9aecdf2e3e24e1d5b7d9f7de3132817a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004405", "prompt": "Calculate: 1737 + 1881 + (-3074 + 1481 - (-9503))", "solution_steps": ["Add: 1737 + 1881 = 3618", "Add: -3074 + 1481 = -1593", "Subtract: -1593 - (-9503) = 7910", "Add: 3618 + 7910 = 11528"], "final_answer": "11528", "answer_type": "integer", "kind": "expression", "math_text": "1737 + 1881 + (-3074 + 1481 - (-9503))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1737, \"b\": 1881, \"c\": -3074, \"d\": 1481, \"e\": -9503}", "seed": "394353387278777027", "semantic_fingerprint": "sha256:5aac8b11edbabfb62ce7faddebd89248ec27fdb9bc4594f70f3c2dbb3d11cbf2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004406", "prompt": "Calculate: -1371 - (-98571) / (-6659)", "solution_steps": ["Divide: -98571 / (-6659) = 98571/6659", "Subtract: -1371 - 98571/6659 = -9228060/6659"], "final_answer": "-9228060/6659", "answer_type": "rational", "kind": "expression", "math_text": "-1371 - (-98571) / (-6659)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1371, \"b\": -98571, \"c\": -6659}", "seed": "16047755960486142102", "semantic_fingerprint": "sha256:6374a8d2570a020126f726bfa19deabd29ff1e8d0fccbc49069134b45e1ea047", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004407", "prompt": "Solve for x: 18x + 5767 = -17x + 7622", "solution_steps": ["Add 17x to both sides: 35x + 5767 = 7622", "Subtract 5767 from both sides: 35x = 1855", "Divide both sides by 35: x = 53"], "final_answer": "53", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x + 5767 = -17x + 7622", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 5767, \"c\": -17, \"e\": 7622, \"x\": 53}", "seed": "6184377083400935356", "semantic_fingerprint": "sha256:2dd7f59acbd5c29da423ef362704c3a5f0b668e8e486485c4aa7c1d06e19af47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004408", "prompt": "Compute: 16043 * (-46057 / (-44642 + (-3689)))", "solution_steps": ["Add: -44642 + (-3689) = -48331", "Divide: -46057 / (-48331) = 46057/48331", "Multiply: 16043 * (46057/48331) = 738892451/48331"], "final_answer": "738892451/48331", "answer_type": "rational", "kind": "expression", "math_text": "16043 * (-46057 / (-44642 + (-3689)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16043, \"b\": -46057, \"c\": -44642, \"d\": -3689}", "seed": "8587946624953649469", "semantic_fingerprint": "sha256:e028e0cbfd9a7a6b38db008a4052488621b582c8cfba4ae11044efaa079c5914", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004409", "prompt": "Compute: 8373 * (-63443 + 3577)", "solution_steps": ["Add: -63443 + 3577 = -59866", "Multiply: 8373 * (-59866) = -501258018"], "final_answer": "-501258018", "answer_type": "integer", "kind": "expression", "math_text": "8373 * (-63443 + 3577)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8373, \"b\": -63443, \"c\": 3577}", "seed": "13431761833689707677", "semantic_fingerprint": "sha256:f24f26023921df8430124f103cac5474df21e7c436883f39bdcefec039cfd783", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004410", "prompt": "What is 9920 / (-8960) * (2421 - 8149) * (-39585)?", "solution_steps": ["Divide: 9920 / (-8960) = -31/28", "Subtract: 2421 - 8149 = -5728", "Multiply: (-31/28) * (-5728) = 44392/7", "Multiply: (44392/7) * (-39585) = -251036760"], "final_answer": "-251036760", "answer_type": "integer", "kind": "expression", "math_text": "9920 / (-8960) * (2421 - 8149) * (-39585)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9920, \"b\": -8960, \"c\": 2421, \"d\": 8149, \"e\": -39585}", "seed": "16957551750968274755", "semantic_fingerprint": "sha256:736108605d4fdb0225bc84a0f914c657e62f84bc101f1362e0acf95e1409cc6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004411", "prompt": "Find x: 16(x + 1947) = x + 32532", "solution_steps": ["Expand: 16x + 31152 = x + 32532", "Subtract x from both sides: 15x + 31152 = 32532", "Subtract 31152 from both sides: 15x = 1380", "Divide both sides by 15: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 1947) = x + 32532", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 1947, \"d\": 32532, \"x\": 92}", "seed": "7147264352041749066", "semantic_fingerprint": "sha256:28955bccbc103a43fed15ac67a9c2e0202dc41770a16fbd78d4e61873c011169", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004412", "prompt": "Find x: x - 7101 = 26(x + 30860)", "solution_steps": ["Expand: x - 7101 = 26x + 802360", "Subtract 26x from both sides: -25x - 7101 = 802360", "Add 7101 to both sides: -25x = 809461", "Divide both sides by -25: x = -809461/25"], "final_answer": "-809461/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7101 = 26(x + 30860)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7101, \"b\": 26, \"c\": 30860}", "seed": "5082576722607828367", "semantic_fingerprint": "sha256:4b48be2a1c42273978b0a9d3aa103b0a07d43e94cee964f721c683f0221a3462", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004413", "prompt": "Compute: 1004 / (-6542) + 7477", "solution_steps": ["Divide: 1004 / (-6542) = -502/3271", "Add: -502/3271 + 7477 = 24456765/3271"], "final_answer": "24456765/3271", "answer_type": "rational", "kind": "expression", "math_text": "1004 / (-6542) + 7477", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1004, \"b\": -6542, \"c\": 7477}", "seed": "9020112613812904991", "semantic_fingerprint": "sha256:3f1ea8cac825f1aa21848639f1dd089696caa9af4ba196a43d45f4b9080436a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004414", "prompt": "Calculate: -2099 * (7733 - (-5388)) / 5460", "solution_steps": ["Subtract: 7733 - (-5388) = 13121", "Multiply: -2099 * 13121 = -27540979", "Divide: -27540979 / 5460 = -27540979/5460"], "final_answer": "-27540979/5460", "answer_type": "rational", "kind": "expression", "math_text": "-2099 * (7733 - (-5388)) / 5460", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2099, \"b\": 7733, \"c\": -5388, \"d\": 5460}", "seed": "13753284890756667284", "semantic_fingerprint": "sha256:ae1d43a682607e5f2a73f94b1cc867ea3d2b513a7da8d986af1d36cb65aca6dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004415", "prompt": "What is (5552 + 20852) * (-42741) / (-8175)?", "solution_steps": ["Add: 5552 + 20852 = 26404", "Multiply: 26404 * (-42741) = -1128533364", "Divide: -1128533364 / (-8175) = 376177788/2725"], "final_answer": "376177788/2725", "answer_type": "rational", "kind": "expression", "math_text": "(5552 + 20852) * (-42741) / (-8175)", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5552, \"b\": 20852, \"c\": -42741, \"d\": -8175}", "seed": "7888733576271282570", "semantic_fingerprint": "sha256:0772acbcb977e55c1d5c9496ebc32652046f2e5e8abd3c3742b84677f00d03f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004416", "prompt": "What is 74319 - 6766?", "solution_steps": ["Subtract: 74319 - 6766 = 67553"], "final_answer": "67553", "answer_type": "integer", "kind": "expression", "math_text": "74319 - 6766", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74319, \"b\": 6766}", "seed": "1753850890411844744", "semantic_fingerprint": "sha256:6239488fb8bba100ed4c5395f9714005c4bb0d21b6424e4ba4617e23acc6f31a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004417", "prompt": "Compute: -24851 / 77917 - 1200", "solution_steps": ["Divide: -24851 / 77917 = -24851/77917", "Subtract: -24851/77917 - 1200 = -93525251/77917"], "final_answer": "-93525251/77917", "answer_type": "rational", "kind": "expression", "math_text": "-24851 / 77917 - 1200", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24851, \"b\": 77917, \"c\": 1200}", "seed": "7573952289617579036", "semantic_fingerprint": "sha256:665a719fdc80326c883d4ce955af722c84808765a96f6f0745be2fe2e74ffb4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004418", "prompt": "What value of x satisfies 25(x - 3679) = -14x?", "solution_steps": ["Expand: 25x - 91975 = -14x", "Add 14x to both sides: 39x - 91975 = 0", "Add 91975 to both sides: 39x = 91975", "Divide both sides by 39: x = 7075/3"], "final_answer": "7075/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 3679) = -14x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3679, \"c\": -14}", "seed": "5730213254924335540", "semantic_fingerprint": "sha256:47fbf64384f011df0dc8763e27e241b59c257dbb17a5868c2a3e7b6948f4be6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004419", "prompt": "Calculate: 2755 + (7503 + (-94343 + (-38740) + 5284))", "solution_steps": ["Add: -94343 + (-38740) = -133083", "Add: -133083 + 5284 = -127799", "Add: 7503 + (-127799) = -120296", "Add: 2755 + (-120296) = -117541"], "final_answer": "-117541", "answer_type": "integer", "kind": "expression", "math_text": "2755 + (7503 + (-94343 + (-38740) + 5284))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2755, \"b\": 7503, \"c\": -94343, \"d\": -38740, \"e\": 5284}", "seed": "15428653523871675356", "semantic_fingerprint": "sha256:d40f24fb8bfd463498a7fea0fb47f31ef7966731453dfba98c21bec3fee229aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004420", "prompt": "Solve for x: 35(x - 4942) - 3657 = 32x", "solution_steps": ["Expand: 35x - 172970 - 3657 = 32x", "Combine constants: 35x - 176627 = 32x", "Subtract 32x from both sides: 3x - 176627 = 0", "Add 176627 to both sides: 3x = 176627", "Divide both sides by 3: x = 176627/3"], "final_answer": "176627/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 4942) - 3657 = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4942, \"c\": 3657, \"d\": 32}", "seed": "9132871548346044682", "semantic_fingerprint": "sha256:50102b5365a0c6c95def5aebad4a6d5d374ce6678160e54013d9d40b1c97e0d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004421", "prompt": "Evaluate: -30702 / (90655 + (-6037))", "solution_steps": ["Add: 90655 + (-6037) = 84618", "Divide: -30702 / 84618 = -5117/14103"], "final_answer": "-5117/14103", "answer_type": "rational", "kind": "expression", "math_text": "-30702 / (90655 + (-6037))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30702, \"b\": 90655, \"c\": -6037}", "seed": "7628310091471855527", "semantic_fingerprint": "sha256:e14eb7bf538e5928762f83c589cfd22868593b9a924bdf32505883ce6542178c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004422", "prompt": "Compute: -42593 + 43463 - (-48006) / 87650 - (-6747)", "solution_steps": ["Add: -42593 + 43463 = 870", "Divide: -48006 / 87650 = -24003/43825", "Subtract: 870 - (-24003/43825) = 38151753/43825", "Subtract: 38151753/43825 - (-6747) = 333839028/43825"], "final_answer": "333839028/43825", "answer_type": "rational", "kind": "expression", "math_text": "-42593 + 43463 - (-48006) / 87650 - (-6747)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -42593, \"b\": 43463, \"c\": -48006, \"d\": 87650, \"e\": -6747}", "seed": "17837360215440788072", "semantic_fingerprint": "sha256:94c033c5587d6d024af7e8ce9ddd7bbb5710f6c87dc3df5780affd635f3b49ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004423", "prompt": "Evaluate: 63821 + 91617", "solution_steps": ["Add: 63821 + 91617 = 155438"], "final_answer": "155438", "answer_type": "integer", "kind": "expression", "math_text": "63821 + 91617", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 63821, \"b\": 91617}", "seed": "2677341338825398910", "semantic_fingerprint": "sha256:7d012e1b03fc0a6e2c2afaec61f470e805466a429bf887874eb7bec0537782f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004424", "prompt": "What is (-6528 + 15528 - (-82212)) / (-9274)?", "solution_steps": ["Add: -6528 + 15528 = 9000", "Subtract: 9000 - (-82212) = 91212", "Divide: 91212 / (-9274) = -45606/4637"], "final_answer": "-45606/4637", "answer_type": "rational", "kind": "expression", "math_text": "(-6528 + 15528 - (-82212)) / (-9274)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6528, \"b\": 15528, \"c\": -82212, \"d\": -9274}", "seed": "153052403451564584", "semantic_fingerprint": "sha256:90752c0814e2f0fc54af71169d8d164d8205357b7abcffe6efb687d9d14e0d26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004425", "prompt": "What is (7120 - 36890) / 99800 - (1775 + 89689)?", "solution_steps": ["Subtract: 7120 - 36890 = -29770", "Divide: -29770 / 99800 = -2977/9980", "Add: 1775 + 89689 = 91464", "Subtract: -2977/9980 - 91464 = -912813697/9980"], "final_answer": "-912813697/9980", "answer_type": "rational", "kind": "expression", "math_text": "(7120 - 36890) / 99800 - (1775 + 89689)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7120, \"b\": 36890, \"c\": 99800, \"d\": 1775, \"e\": 89689}", "seed": "7006855494009773643", "semantic_fingerprint": "sha256:cd2a2bccd67bb751b6f7b3ccb9cc9688594e78a14d5b78d25817999bca1cde14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004426", "prompt": "Find x: x - 45451 = 29x - 48867", "solution_steps": ["Subtract 29x from both sides: -28x - 45451 = -48867", "Add 45451 to both sides: -28x = -3416", "Divide both sides by -28: x = 122"], "final_answer": "122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 45451 = 29x - 48867", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 45451, \"b\": 29, \"d\": -48867, \"x\": 122}", "seed": "1460398500093682078", "semantic_fingerprint": "sha256:92f213f0acd244eab42e481982fbf270d1437a36a793582ffa7ac7d73f5849ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004427", "prompt": "Compute: (4446 + (-6869 - (81517 + 72596))) / (-71174)", "solution_steps": ["Add: 81517 + 72596 = 154113", "Subtract: -6869 - 154113 = -160982", "Add: 4446 + (-160982) = -156536", "Divide: -156536 / (-71174) = 78268/35587"], "final_answer": "78268/35587", "answer_type": "rational", "kind": "expression", "math_text": "(4446 + (-6869 - (81517 + 72596))) / (-71174)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4446, \"b\": -6869, \"c\": 81517, \"d\": 72596, \"e\": -71174}", "seed": "3372878200133105994", "semantic_fingerprint": "sha256:f00bf642511b891012c609cac49126a863e5a9b867794f0d5247fec4c3787878", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004428", "prompt": "Calculate: (32029 + (68714 + 9089)) * 51935", "solution_steps": ["Add: 68714 + 9089 = 77803", "Add: 32029 + 77803 = 109832", "Multiply: 109832 * 51935 = 5704124920"], "final_answer": "5704124920", "answer_type": "integer", "kind": "expression", "math_text": "(32029 + (68714 + 9089)) * 51935", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32029, \"b\": 68714, \"c\": 9089, \"d\": 51935}", "seed": "17668572498525890369", "semantic_fingerprint": "sha256:f3a43042d5738bead6fecd15393bb551a24c49f565132d6c3bf1c6e9450f8a4c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004429", "prompt": "What is -9175 + (-38958) / (-5846)?", "solution_steps": ["Divide: -38958 / (-5846) = 19479/2923", "Add: -9175 + 19479/2923 = -26799046/2923"], "final_answer": "-26799046/2923", "answer_type": "rational", "kind": "expression", "math_text": "-9175 + (-38958) / (-5846)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9175, \"b\": -38958, \"c\": -5846}", "seed": "1923355797329110876", "semantic_fingerprint": "sha256:1891d4254134ae562649820899ab3b5a208b37e3b722375d91dd2910b14769d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004430", "prompt": "What is -7336 + 3709 + 33977?", "solution_steps": ["Add: -7336 + 3709 = -3627", "Add: -3627 + 33977 = 30350"], "final_answer": "30350", "answer_type": "integer", "kind": "expression", "math_text": "-7336 + 3709 + 33977", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7336, \"b\": 3709, \"c\": 33977}", "seed": "12607155995471301417", "semantic_fingerprint": "sha256:ff6daf2e3ed48708e9dc42bdfb23ef20119e8a202e244ea52c2d640c0985b781", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004431", "prompt": "What is (3056 - 70367) / (-3416 - (-6514))?", "solution_steps": ["Subtract: 3056 - 70367 = -67311", "Subtract: -3416 - (-6514) = 3098", "Divide: -67311 / 3098 = -67311/3098"], "final_answer": "-67311/3098", "answer_type": "rational", "kind": "expression", "math_text": "(3056 - 70367) / (-3416 - (-6514))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3056, \"b\": 70367, \"c\": -3416, \"d\": -6514}", "seed": "13605559792580013138", "semantic_fingerprint": "sha256:8cc8f1323a08633deb57fca83d05472429c5ada33300c500f26f699bec4a9a2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004432", "prompt": "Evaluate: (17129 + 5165) * (-43992)", "solution_steps": ["Add: 17129 + 5165 = 22294", "Multiply: 22294 * (-43992) = -980757648"], "final_answer": "-980757648", "answer_type": "integer", "kind": "expression", "math_text": "(17129 + 5165) * (-43992)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17129, \"b\": 5165, \"c\": -43992}", "seed": "4538579100270124023", "semantic_fingerprint": "sha256:e8d54ea29c1238046fa0b2d7fc971acbc2c4ffe32a14aac51d9d7a9a461f6440", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004433", "prompt": "Find x: 35(x - 63448) = x - 6171", "solution_steps": ["Expand: 35x - 2220680 = x - 6171", "Subtract x from both sides: 34x - 2220680 = -6171", "Add 2220680 to both sides: 34x = 2214509", "Divide both sides by 34: x = 2214509/34"], "final_answer": "2214509/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 63448) = x - 6171", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 63448, \"c\": 6171}", "seed": "16045227809118886183", "semantic_fingerprint": "sha256:acc21bc51ff47b72067fa5e1f084c1a4d469d4057b4fbda03ab1a6626fb1ef26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004434", "prompt": "What is (-2454 + (-4781)) / 91128?", "solution_steps": ["Add: -2454 + (-4781) = -7235", "Divide: -7235 / 91128 = -7235/91128"], "final_answer": "-7235/91128", "answer_type": "rational", "kind": "expression", "math_text": "(-2454 + (-4781)) / 91128", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2454, \"b\": -4781, \"c\": 91128}", "seed": "2134991517122001395", "semantic_fingerprint": "sha256:3d1fdbbb562b89fc3e97c8872c8c7961ffeaf3bcb118b5bf1c2b7acc29f1e7fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004435", "prompt": "Calculate: -90931 - (5581 - 1676) + 13133", "solution_steps": ["Subtract: 5581 - 1676 = 3905", "Subtract: -90931 - 3905 = -94836", "Add: -94836 + 13133 = -81703"], "final_answer": "-81703", "answer_type": "integer", "kind": "expression", "math_text": "-90931 - (5581 - 1676) + 13133", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -90931, \"b\": 5581, \"c\": 1676, \"d\": 13133}", "seed": "12524466546824279633", "semantic_fingerprint": "sha256:afca75e051d73b62d2af17c6a4db01e8430637f8533ac714d3219296f44847a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004436", "prompt": "Find x: 40x + 18361 = 26x + 16541", "solution_steps": ["Subtract 26x from both sides: 14x + 18361 = 16541", "Subtract 18361 from both sides: 14x = -1820", "Divide both sides by 14: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 18361 = 26x + 16541", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 18361, \"c\": 26, \"e\": 16541, \"x\": -130}", "seed": "12686705370480832779", "semantic_fingerprint": "sha256:04e0b36a098622b75e842dd11088a48a70ea9fe53b9f9619b610d6a5222d9d59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004437", "prompt": "Compute: (22008 - (-1749)) / (20318 - (-68201))", "solution_steps": ["Subtract: 22008 - (-1749) = 23757", "Subtract: 20318 - (-68201) = 88519", "Divide: 23757 / 88519 = 23757/88519"], "final_answer": "23757/88519", "answer_type": "rational", "kind": "expression", "math_text": "(22008 - (-1749)) / (20318 - (-68201))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22008, \"b\": -1749, \"c\": 20318, \"d\": -68201}", "seed": "10282387681248513249", "semantic_fingerprint": "sha256:c8aa111b6343079260e65128fbe9db5f74856a7f7a7d887cf4cfaad553228fb0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004438", "prompt": "Calculate: 39369 * (-6467) - (-57968 + 25663) * 52275", "solution_steps": ["Multiply: 39369 * (-6467) = -254599323", "Add: -57968 + 25663 = -32305", "Multiply: -32305 * 52275 = -1688743875", "Subtract: -254599323 - (-1688743875) = 1434144552"], "final_answer": "1434144552", "answer_type": "integer", "kind": "expression", "math_text": "39369 * (-6467) - (-57968 + 25663) * 52275", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39369, \"b\": -6467, \"c\": -57968, \"d\": 25663, \"e\": 52275}", "seed": "2032013244632403342", "semantic_fingerprint": "sha256:2d9028e60d60833cccb3a775f75739d8bcf840498a1a29763246608f30cc002f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004439", "prompt": "What is 88853 / 6237?", "solution_steps": ["Divide: 88853 / 6237 = 88853/6237"], "final_answer": "88853/6237", "answer_type": "rational", "kind": "expression", "math_text": "88853 / 6237", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88853, \"b\": 6237}", "seed": "16534582459885786765", "semantic_fingerprint": "sha256:f08c370376b6580112da11219e27c3097001f79212d2a4bfd672662500742639", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004440", "prompt": "What is (-86223 + 4069) * 5413?", "solution_steps": ["Add: -86223 + 4069 = -82154", "Multiply: -82154 * 5413 = -444699602"], "final_answer": "-444699602", "answer_type": "integer", "kind": "expression", "math_text": "(-86223 + 4069) * 5413", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86223, \"b\": 4069, \"c\": 5413}", "seed": "10759472963608978087", "semantic_fingerprint": "sha256:4837cde4bd653f7fdc9826c9f4ba9eafff532ddb2d504fdff17509ee13963cce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004441", "prompt": "What is 20000 + 81583 * 6359 + 8077?", "solution_steps": ["Multiply: 81583 * 6359 = 518786297", "Add: 20000 + 518786297 = 518806297", "Add: 518806297 + 8077 = 518814374"], "final_answer": "518814374", "answer_type": "integer", "kind": "expression", "math_text": "20000 + 81583 * 6359 + 8077", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20000, \"b\": 81583, \"c\": 6359, \"d\": 8077}", "seed": "4154075626405424799", "semantic_fingerprint": "sha256:111c55e8aed08758007ec6e2aa26f1b6b1b0803b6dd6ed52e376bcfb6ebad0d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004442", "prompt": "Calculate: 1113 * (-8003)", "solution_steps": ["Multiply: 1113 * (-8003) = -8907339"], "final_answer": "-8907339", "answer_type": "integer", "kind": "expression", "math_text": "1113 * (-8003)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1113, \"b\": -8003}", "seed": "3882394068694016049", "semantic_fingerprint": "sha256:39677e793846fa5b5cafd26acecf5c597809465698c535634435fc9e78b8aad2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004443", "prompt": "Calculate: -9864 - (-39602) + (-1544)", "solution_steps": ["Subtract: -9864 - (-39602) = 29738", "Add: 29738 + (-1544) = 28194"], "final_answer": "28194", "answer_type": "integer", "kind": "expression", "math_text": "-9864 - (-39602) + (-1544)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9864, \"b\": -39602, \"c\": -1544}", "seed": "5489210737973243110", "semantic_fingerprint": "sha256:9f32e252d7b6d6f959f0927a0b486534eaa27721435f79795bd30594e7ff734d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004444", "prompt": "Calculate: -2326 + (-3788) + 4147", "solution_steps": ["Add: -2326 + (-3788) = -6114", "Add: -6114 + 4147 = -1967"], "final_answer": "-1967", "answer_type": "integer", "kind": "expression", "math_text": "-2326 + (-3788) + 4147", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2326, \"b\": -3788, \"c\": 4147}", "seed": "14069162713672959873", "semantic_fingerprint": "sha256:ab81b0f186a4a496d5de6c62711b292d10063986bda8ec120f559e16fc92beb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004445", "prompt": "Calculate: 9803 / (-8626 + 82181)", "solution_steps": ["Add: -8626 + 82181 = 73555", "Divide: 9803 / 73555 = 9803/73555"], "final_answer": "9803/73555", "answer_type": "rational", "kind": "expression", "math_text": "9803 / (-8626 + 82181)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9803, \"b\": -8626, \"c\": 82181}", "seed": "8355605810344717989", "semantic_fingerprint": "sha256:14d1b7fb5c7524218434871b4b69c74dafb2f36d92af861a155eef45b2996ac7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004446", "prompt": "What value of x satisfies x = -17x + 2988?", "solution_steps": ["Add 17x to both sides: 18x = 2988", "Divide both sides by 18: x = 166"], "final_answer": "166", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -17x + 2988", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17, \"c\": 2988, \"x\": 166}", "seed": "12842426033420632063", "semantic_fingerprint": "sha256:db92e7266eafb24e8b699ca4ce5acf6b44886c9191f776b32e927d912300e79a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004447", "prompt": "Solve for x: 19(x + 7299) = 31x", "solution_steps": ["Expand: 19x + 138681 = 31x", "Subtract 31x from both sides: -12x + 138681 = 0", "Subtract 138681 from both sides: -12x = -138681", "Divide both sides by -12: x = 46227/4"], "final_answer": "46227/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 7299) = 31x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7299, \"c\": 31}", "seed": "6396908335540469608", "semantic_fingerprint": "sha256:3f4f876d75aa8c220c3d9ff20862ee5dfa7d54fe2273f2afa023df078fa69242", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004448", "prompt": "Evaluate: 2295 + (-3141 * 7901 + (-6386))", "solution_steps": ["Multiply: -3141 * 7901 = -24817041", "Add: -24817041 + (-6386) = -24823427", "Add: 2295 + (-24823427) = -24821132"], "final_answer": "-24821132", "answer_type": "integer", "kind": "expression", "math_text": "2295 + (-3141 * 7901 + (-6386))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2295, \"b\": -3141, \"c\": 7901, \"d\": -6386}", "seed": "4440438244192906945", "semantic_fingerprint": "sha256:12d3c68802aa5c5147b6061067cd5472cf27aa08eed6bb4a1ffb5681835017f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004449", "prompt": "Solve for x: x + 2484 = 37x", "solution_steps": ["Subtract 37x from both sides: -36x + 2484 = 0", "Subtract 2484 from both sides: -36x = -2484", "Divide both sides by -36: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2484 = 37x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": 2484, \"x\": 69}", "seed": "8368210681178539249", "semantic_fingerprint": "sha256:48f48903965862d2e17502caf12da16bc6c2e70695c23479b88b83ecf806eddc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004450", "prompt": "Evaluate: -13088 - (-4904) * (-2702)", "solution_steps": ["Multiply: -4904 * (-2702) = 13250608", "Subtract: -13088 - 13250608 = -13263696"], "final_answer": "-13263696", "answer_type": "integer", "kind": "expression", "math_text": "-13088 - (-4904) * (-2702)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13088, \"b\": -4904, \"c\": -2702}", "seed": "14884567900419675835", "semantic_fingerprint": "sha256:e88fa6f64dd5c0ebb14de95b3c6ea52d4d6b9201b32b6e38cc08946f2211d1f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004451", "prompt": "Compute: 47820 / (5862 - (-40874))", "solution_steps": ["Subtract: 5862 - (-40874) = 46736", "Divide: 47820 / 46736 = 11955/11684"], "final_answer": "11955/11684", "answer_type": "rational", "kind": "expression", "math_text": "47820 / (5862 - (-40874))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47820, \"b\": 5862, \"c\": -40874}", "seed": "13112425717291222218", "semantic_fingerprint": "sha256:4eb61c30a13a9febd4298becf074a1801d73e7f2de307164851924978c998c2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004452", "prompt": "Evaluate: (6013 - 41059) / (-70245)", "solution_steps": ["Subtract: 6013 - 41059 = -35046", "Divide: -35046 / (-70245) = 3894/7805"], "final_answer": "3894/7805", "answer_type": "rational", "kind": "expression", "math_text": "(6013 - 41059) / (-70245)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6013, \"b\": 41059, \"c\": -70245}", "seed": "18113703563903629649", "semantic_fingerprint": "sha256:0957ede8d89bf81e082cbab5344adb67a2808d327bd884837b8b73e400fe8498", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004453", "prompt": "Evaluate: 35040 / (-6566) - (-5722)", "solution_steps": ["Divide: 35040 / (-6566) = -17520/3283", "Subtract: -17520/3283 - (-5722) = 18767806/3283"], "final_answer": "18767806/3283", "answer_type": "rational", "kind": "expression", "math_text": "35040 / (-6566) - (-5722)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35040, \"b\": -6566, \"c\": -5722}", "seed": "6475443201448226754", "semantic_fingerprint": "sha256:357129b6f600639746674d830fefb8850e17ddb45bc44519f04adb3c1670ce12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004454", "prompt": "Compute: (-2139 * (-1217) + 33008) / 33388", "solution_steps": ["Multiply: -2139 * (-1217) = 2603163", "Add: 2603163 + 33008 = 2636171", "Divide: 2636171 / 33388 = 2636171/33388"], "final_answer": "2636171/33388", "answer_type": "rational", "kind": "expression", "math_text": "(-2139 * (-1217) + 33008) / 33388", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2139, \"b\": -1217, \"c\": 33008, \"d\": 33388}", "seed": "483698149650165052", "semantic_fingerprint": "sha256:ae483c7a90fb0278ae5cb06093cc1eb08ad588334f47b001af6e0e842f226644", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004455", "prompt": "Solve the equation -36(x - 1216) - 8767 = x for x.", "solution_steps": ["Expand: -36x + 43776 - 8767 = x", "Combine constants: -36x + 35009 = x", "Subtract x from both sides: -37x + 35009 = 0", "Subtract 35009 from both sides: -37x = -35009", "Divide both sides by -37: x = 35009/37"], "final_answer": "35009/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x - 1216) - 8767 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 1216, \"c\": 8767}", "seed": "5970003175575307178", "semantic_fingerprint": "sha256:82110837d37ab30d1a0a7686dba772df15341858e37fa21b3c2331510dc8f15f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004456", "prompt": "Evaluate: 3651 * (-4756) - 88281 - (-3300)", "solution_steps": ["Multiply: 3651 * (-4756) = -17364156", "Subtract: -17364156 - 88281 = -17452437", "Subtract: -17452437 - (-3300) = -17449137"], "final_answer": "-17449137", "answer_type": "integer", "kind": "expression", "math_text": "3651 * (-4756) - 88281 - (-3300)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3651, \"b\": -4756, \"c\": 88281, \"d\": -3300}", "seed": "6500550637825311765", "semantic_fingerprint": "sha256:a80451ef92466ea2ffebcb2b9990ecc30f32a9306f514f00db5082252ec7c0d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004457", "prompt": "Evaluate: 93465 - (-9418 + 2843)", "solution_steps": ["Add: -9418 + 2843 = -6575", "Subtract: 93465 - (-6575) = 100040"], "final_answer": "100040", "answer_type": "integer", "kind": "expression", "math_text": "93465 - (-9418 + 2843)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93465, \"b\": -9418, \"c\": 2843}", "seed": "7047884770153542087", "semantic_fingerprint": "sha256:89dbc701248881f6a091a8a2fba98a89e777257883e67cc932a0cbbe05b36a2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004458", "prompt": "Solve for x: -35(x - 2584) - 44441 = 26x + 47524", "solution_steps": ["Expand: -35x + 90440 - 44441 = 26x + 47524", "Combine constants: -35x + 45999 = 26x + 47524", "Subtract 26x from both sides: -61x + 45999 = 47524", "Subtract 45999 from both sides: -61x = 1525", "Divide both sides by -61: x = -25"], "final_answer": "-25", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35(x - 2584) - 44441 = 26x + 47524", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 2584, \"c\": 44441, \"d\": 26, \"f\": 47524, \"x\": -25}", "seed": "14184606321424783741", "semantic_fingerprint": "sha256:a4a50662404d622eee08e7d6dce15263204890a80d958ad669bacfc3688367e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004459", "prompt": "Evaluate: 7158 * ((-4344 + 86166) / (-4198))", "solution_steps": ["Add: -4344 + 86166 = 81822", "Divide: 81822 / (-4198) = -40911/2099", "Multiply: 7158 * (-40911/2099) = -292840938/2099"], "final_answer": "-292840938/2099", "answer_type": "rational", "kind": "expression", "math_text": "7158 * ((-4344 + 86166) / (-4198))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7158, \"b\": -4344, \"c\": 86166, \"d\": -4198}", "seed": "4661045495345999729", "semantic_fingerprint": "sha256:7a47f747dbe5341d5faa4981369ff49578f03735455431fc17d182c72d579bbe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004460", "prompt": "Calculate: 69855 / (6440 / (-3495))", "solution_steps": ["Divide: 6440 / (-3495) = -1288/699", "Divide: 69855 / (-1288/699) = -48828645/1288"], "final_answer": "-48828645/1288", "answer_type": "rational", "kind": "expression", "math_text": "69855 / (6440 / (-3495))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69855, \"b\": 6440, \"c\": -3495}", "seed": "3078907366803834914", "semantic_fingerprint": "sha256:90c0d0291f564efed6a06e7356124753d0575ac7ef78d5b0c767dd549de90913", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004461", "prompt": "What value of x satisfies 24x - 40257 = -51863?", "solution_steps": ["Add 40257 to both sides: 24x = -11606", "Divide both sides by 24: x = -5803/12"], "final_answer": "-5803/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x - 40257 = -51863", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 40257, \"c\": -51863}", "seed": "16822950398027681485", "semantic_fingerprint": "sha256:60faa0f66bf9d5cda772f7ac3c6d50b312bd64c9192b4d05e1f97e76c18b16e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004462", "prompt": "Calculate: -36677 / (-4345) * 4866", "solution_steps": ["Divide: -36677 / (-4345) = 36677/4345", "Multiply: (36677/4345) * 4866 = 178470282/4345"], "final_answer": "178470282/4345", "answer_type": "rational", "kind": "expression", "math_text": "-36677 / (-4345) * 4866", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36677, \"b\": -4345, \"c\": 4866}", "seed": "10792380010001147182", "semantic_fingerprint": "sha256:b1f2bbea8e7d58ce5ad08120bd54c5768a5a2855384620b40f1ac493c35cf4d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004463", "prompt": "Compute: 7584 * 65080", "solution_steps": ["Multiply: 7584 * 65080 = 493566720"], "final_answer": "493566720", "answer_type": "integer", "kind": "expression", "math_text": "7584 * 65080", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7584, \"b\": 65080}", "seed": "14079436944494269438", "semantic_fingerprint": "sha256:875b1fa3297d9b8ee93b34d6cf7da634ec161932f0e21794640a9aad5c62c4b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004464", "prompt": "What is 66782 + (-47214 + (-21658)) + 1870?", "solution_steps": ["Add: -47214 + (-21658) = -68872", "Add: 66782 + (-68872) = -2090", "Add: -2090 + 1870 = -220"], "final_answer": "-220", "answer_type": "integer", "kind": "expression", "math_text": "66782 + (-47214 + (-21658)) + 1870", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 66782, \"b\": -47214, \"c\": -21658, \"d\": 1870}", "seed": "6721431287291779062", "semantic_fingerprint": "sha256:b06dc911ad11f830291e2bb4d3e0a51be4f7b336cea02a4e1d2ff6ba7a270421", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004465", "prompt": "Calculate: 8054 + (23269 + 8946)", "solution_steps": ["Add: 23269 + 8946 = 32215", "Add: 8054 + 32215 = 40269"], "final_answer": "40269", "answer_type": "integer", "kind": "expression", "math_text": "8054 + (23269 + 8946)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8054, \"b\": 23269, \"c\": 8946}", "seed": "17638680807894301578", "semantic_fingerprint": "sha256:f2d254d62bad74871863ae900c62e600bc832061b1f6fa8dbf7e4f1178138bbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004466", "prompt": "What is -82026 - (-6046)?", "solution_steps": ["Subtract: -82026 - (-6046) = -75980"], "final_answer": "-75980", "answer_type": "integer", "kind": "expression", "math_text": "-82026 - (-6046)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -82026, \"b\": -6046}", "seed": "4793773951356551460", "semantic_fingerprint": "sha256:084ad58d78e76c712357d997d8dd5818911f31fca47a7fab575263960e56e4f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004467", "prompt": "Calculate: -6763 - 7072 + (-17399) + (-9101 - (-13840))", "solution_steps": ["Subtract: -6763 - 7072 = -13835", "Add: -13835 + (-17399) = -31234", "Subtract: -9101 - (-13840) = 4739", "Add: -31234 + 4739 = -26495"], "final_answer": "-26495", "answer_type": "integer", "kind": "expression", "math_text": "-6763 - 7072 + (-17399) + (-9101 - (-13840))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6763, \"b\": 7072, \"c\": -17399, \"d\": -9101, \"e\": -13840}", "seed": "13913512527626393933", "semantic_fingerprint": "sha256:c4ba7e96cd7f79f8efeae1c3f3f9eddb13a227942b5f7396dd69654256ef7e77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004468", "prompt": "Find x: 15x - 4397 = -3977", "solution_steps": ["Add 4397 to both sides: 15x = 420", "Divide both sides by 15: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 4397 = -3977", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4397, \"d\": -3977, \"x\": 28}", "seed": "6852453590226518733", "semantic_fingerprint": "sha256:df5824977bf797f1b1826f3df1d8e1ca0bfd6e11a32bce180c9d53e1d23668f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004469", "prompt": "Solve for x: 28(x - 2513) + 71984 = x", "solution_steps": ["Expand: 28x - 70364 + 71984 = x", "Combine constants: 28x + 1620 = x", "Subtract x from both sides: 27x + 1620 = 0", "Subtract 1620 from both sides: 27x = -1620", "Divide both sides by 27: x = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x - 2513) + 71984 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 2513, \"d\": 71984, \"x\": -60}", "seed": "8223491594792992383", "semantic_fingerprint": "sha256:93b496afdcd4b74ddf9eebee4769f3dd271abec9f24d77873eba763bd288baf9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004470", "prompt": "Evaluate: -3035 * 4090 / 70155", "solution_steps": ["Multiply: -3035 * 4090 = -12413150", "Divide: -12413150 / 70155 = -2482630/14031"], "final_answer": "-2482630/14031", "answer_type": "rational", "kind": "expression", "math_text": "-3035 * 4090 / 70155", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3035, \"b\": 4090, \"c\": 70155}", "seed": "8681574307840306157", "semantic_fingerprint": "sha256:f6b5de78b9fa9678dfdab0420a24f63c5f047d371d25d999555cc670d11de023", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004471", "prompt": "Calculate: -3686 / (-90853)", "solution_steps": ["Divide: -3686 / (-90853) = 3686/90853"], "final_answer": "3686/90853", "answer_type": "rational", "kind": "expression", "math_text": "-3686 / (-90853)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3686, \"b\": -90853}", "seed": "14930250117665832847", "semantic_fingerprint": "sha256:fc839838f97e93dd825bb3b8e63b91d301ccbf0177ebe907ae557b5efa2f479f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004472", "prompt": "Find x: -18(x - 4540) = -36(x + 8336)", "solution_steps": ["Expand: -18x + 81720 = -36(x + 8336)", "Expand: -18x + 81720 = -36x - 300096", "Add 36x to both sides: 18x + 81720 = -300096", "Subtract 81720 from both sides: 18x = -381816", "Divide both sides by 18: x = -21212"], "final_answer": "-21212", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 4540) = -36(x + 8336)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 4540, \"c\": -36, \"d\": 8336}", "seed": "10324458496572507231", "semantic_fingerprint": "sha256:a4e8da6a47db2cd100264730d04a332774b6d5df7c96b875011c482a77fed478", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004473", "prompt": "What is -1564 / 8664?", "solution_steps": ["Divide: -1564 / 8664 = -391/2166"], "final_answer": "-391/2166", "answer_type": "rational", "kind": "expression", "math_text": "-1564 / 8664", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1564, \"b\": 8664}", "seed": "14774114022065021358", "semantic_fingerprint": "sha256:747d19537bc99be2dfd7248e40271d5dcf29da9a652c2857a85d1103c3fa63d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004474", "prompt": "Solve the equation 30x - 48642 = -49332 for x.", "solution_steps": ["Add 48642 to both sides: 30x = -690", "Divide both sides by 30: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x - 48642 = -49332", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 48642, \"d\": -49332, \"x\": -23}", "seed": "10076638546564491012", "semantic_fingerprint": "sha256:53b9161f87814f960acc2e85821645a0290969973eb64e5a4e23777b61b94944", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004475", "prompt": "Find x: -13x + 2910 = x + 1244", "solution_steps": ["Subtract x from both sides: -14x + 2910 = 1244", "Subtract 2910 from both sides: -14x = -1666", "Divide both sides by -14: x = 119"], "final_answer": "119", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x + 2910 = x + 1244", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 2910, \"d\": 1244, \"x\": 119}", "seed": "3869978504466701601", "semantic_fingerprint": "sha256:10c48c3b1395a518e13c0e0cd59b03e5e097bb50880e9bc0a681aec524216703", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004476", "prompt": "Find x: 27(x + 7796) = -35(x + 8959)", "solution_steps": ["Expand: 27x + 210492 = -35(x + 8959)", "Expand: 27x + 210492 = -35x - 313565", "Add 35x to both sides: 62x + 210492 = -313565", "Subtract 210492 from both sides: 62x = -524057", "Divide both sides by 62: x = -524057/62"], "final_answer": "-524057/62", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 7796) = -35(x + 8959)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 7796, \"c\": -35, \"d\": 8959}", "seed": "14666755724410457707", "semantic_fingerprint": "sha256:198ade0c5a4683fd6633e81b95262b44734417d5bcd7d0a8950a414a8ebee2a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004477", "prompt": "Find x: 20x - 9363 = -10903", "solution_steps": ["Add 9363 to both sides: 20x = -1540", "Divide both sides by 20: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x - 9363 = -10903", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 9363, \"d\": -10903, \"x\": -77}", "seed": "16603916710409287766", "semantic_fingerprint": "sha256:b1f0ec7984561520759d3d0b76c5f1d1495b1e417238ed0939cf5c9ad0a5e1a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004478", "prompt": "Evaluate: -7288 + (-5115)", "solution_steps": ["Add: -7288 + (-5115) = -12403"], "final_answer": "-12403", "answer_type": "integer", "kind": "expression", "math_text": "-7288 + (-5115)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7288, \"b\": -5115}", "seed": "12963452523064808491", "semantic_fingerprint": "sha256:369dcbd206ff22bdc3456cb3de0cf2306b9a0885de272f333bb9d0aeab89834b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004479", "prompt": "Calculate: -90947 / (-94329 + 3106)", "solution_steps": ["Add: -94329 + 3106 = -91223", "Divide: -90947 / (-91223) = 90947/91223"], "final_answer": "90947/91223", "answer_type": "rational", "kind": "expression", "math_text": "-90947 / (-94329 + 3106)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90947, \"b\": -94329, \"c\": 3106}", "seed": "16795175788328637388", "semantic_fingerprint": "sha256:a583bb2c62ea96c58c9f76e68d3c684fd44ee51ebb8a3bb253c06e992b555b53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004480", "prompt": "Compute: 36416 + 35770 * (-2128)", "solution_steps": ["Multiply: 35770 * (-2128) = -76118560", "Add: 36416 + (-76118560) = -76082144"], "final_answer": "-76082144", "answer_type": "integer", "kind": "expression", "math_text": "36416 + 35770 * (-2128)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36416, \"b\": 35770, \"c\": -2128}", "seed": "6425414934404474529", "semantic_fingerprint": "sha256:1c94d3eb395e0ce2e24693b035dbf8e31c0083c2cf88136688e82f7af58015d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004481", "prompt": "Evaluate: -9789 + 90096", "solution_steps": ["Add: -9789 + 90096 = 80307"], "final_answer": "80307", "answer_type": "integer", "kind": "expression", "math_text": "-9789 + 90096", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9789, \"b\": 90096}", "seed": "7076940148102180623", "semantic_fingerprint": "sha256:d20ca2ec6d1676b3b1aeb70c8109c2b07381958910b7c7d32b3b1b48d781dba5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004482", "prompt": "What is -93631 / ((47109 + (-8255 + (-7508))) / 59635) + (-70809)?", "solution_steps": ["Add: -8255 + (-7508) = -15763", "Add: 47109 + (-15763) = 31346", "Divide: 31346 / 59635 = 31346/59635", "Divide: -93631 / (31346/59635) = -5583684685/31346", "Add: -5583684685/31346 + (-70809) = -7803263599/31346"], "final_answer": "-7803263599/31346", "answer_type": "rational", "kind": "expression", "math_text": "-93631 / ((47109 + (-8255 + (-7508))) / 59635) + (-70809)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ (+ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -93631, \"b\": 47109, \"c\": -8255, \"d\": -7508, \"e\": 59635, \"f\": -70809}", "seed": "6656306803915276694", "semantic_fingerprint": "sha256:f9526a76ce32b8a896e7310a230e14464283eb82bb335d2ff0d86a960ca48793", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004483", "prompt": "Solve for x: x + 3056 = -14(x + 13456)", "solution_steps": ["Expand: x + 3056 = -14x - 188384", "Add 14x to both sides: 15x + 3056 = -188384", "Subtract 3056 from both sides: 15x = -191440", "Divide both sides by 15: x = -38288/3"], "final_answer": "-38288/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3056 = -14(x + 13456)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3056, \"b\": -14, \"c\": 13456}", "seed": "8397508104200351821", "semantic_fingerprint": "sha256:7ead7c8f7c609a9d131f667383c45791034f33e98e63df0e0890aa1011c49ce5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004484", "prompt": "What value of x satisfies 38x + 47324 = 23(x + 4750) - 63711?", "solution_steps": ["Expand: 38x + 47324 = 23x + 109250 - 63711", "Combine constants: 38x + 47324 = 23x + 45539", "Subtract 23x from both sides: 15x + 47324 = 45539", "Subtract 47324 from both sides: 15x = -1785", "Divide both sides by 15: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 47324 = 23(x + 4750) - 63711", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 47324, \"c\": 23, \"d\": 4750, \"f\": -63711, \"x\": -119}", "seed": "1546732944541491540", "semantic_fingerprint": "sha256:795a91183bcda068258ae5d5221e582f64cbbacab08b6e3bcd5b12d38a8f26b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004485", "prompt": "Evaluate: -8830 - (-97781) - 3027", "solution_steps": ["Subtract: -8830 - (-97781) = 88951", "Subtract: 88951 - 3027 = 85924"], "final_answer": "85924", "answer_type": "integer", "kind": "expression", "math_text": "-8830 - (-97781) - 3027", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8830, \"b\": -97781, \"c\": 3027}", "seed": "6956213278741789561", "semantic_fingerprint": "sha256:cfcceef19499f2c67ea5ebf75e59c8b9e40dfd4ffc04af6013372477be6a7665", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004486", "prompt": "What value of x satisfies x = -14(x + 73498)?", "solution_steps": ["Expand: x = -14x - 1028972", "Add 14x to both sides: 15x = -1028972", "Divide both sides by 15: x = -1028972/15"], "final_answer": "-1028972/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -14(x + 73498)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 73498}", "seed": "10860983698735899658", "semantic_fingerprint": "sha256:b192b5ab2aaaf7b8b55b9c31e930928cad7ea78c8d2d04bfc2dabd2ac9ed66be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004487", "prompt": "Evaluate: 6396 + 76911 - 77105 / (-88646)", "solution_steps": ["Add: 6396 + 76911 = 83307", "Divide: 77105 / (-88646) = -77105/88646", "Subtract: 83307 - (-77105/88646) = 7384909427/88646"], "final_answer": "7384909427/88646", "answer_type": "rational", "kind": "expression", "math_text": "6396 + 76911 - 77105 / (-88646)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6396, \"b\": 76911, \"c\": 77105, \"d\": -88646}", "seed": "4891126773519492478", "semantic_fingerprint": "sha256:87102592d35e8905e2f054a176e33fab43a7218e2b8dac3f1827b35874c43cec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004488", "prompt": "What value of x satisfies -21(x + 52378) + 3919 = 35x - 1730?", "solution_steps": ["Expand: -21x - 1099938 + 3919 = 35x - 1730", "Combine constants: -21x - 1096019 = 35x - 1730", "Subtract 35x from both sides: -56x - 1096019 = -1730", "Add 1096019 to both sides: -56x = 1094289", "Divide both sides by -56: x = -156327/8"], "final_answer": "-156327/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x + 52378) + 3919 = 35x - 1730", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 52378, \"c\": 3919, \"d\": 35, \"e\": 1730}", "seed": "15035721768649710299", "semantic_fingerprint": "sha256:055cefb7d81b4a9de3d139374dab0ba17c3476fff89792a29c16933736ba8f77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004489", "prompt": "Find x: x = 35(x + 38113) - 4815", "solution_steps": ["Expand: x = 35x + 1333955 - 4815", "Combine constants: x = 35x + 1329140", "Subtract 35x from both sides: -34x = 1329140", "Divide both sides by -34: x = -664570/17"], "final_answer": "-664570/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35(x + 38113) - 4815", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 38113, \"c\": 4815}", "seed": "3922173734064915119", "semantic_fingerprint": "sha256:94b0af4134ec0dc21d81c17da426c6e011ba8a55af2023c04082f45fd1e7810a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004490", "prompt": "Compute: 2397 + 3181 * (16610 + (-7500))", "solution_steps": ["Add: 16610 + (-7500) = 9110", "Multiply: 3181 * 9110 = 28978910", "Add: 2397 + 28978910 = 28981307"], "final_answer": "28981307", "answer_type": "integer", "kind": "expression", "math_text": "2397 + 3181 * (16610 + (-7500))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2397, \"b\": 3181, \"c\": 16610, \"d\": -7500}", "seed": "16358715440198610006", "semantic_fingerprint": "sha256:9e6addf7804c14db982ca154eda9d3a92f28d897157cc0bc66d6fb137c5b573e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004491", "prompt": "What value of x satisfies 31(x - 2846) + 91676 = x?", "solution_steps": ["Expand: 31x - 88226 + 91676 = x", "Combine constants: 31x + 3450 = x", "Subtract x from both sides: 30x + 3450 = 0", "Subtract 3450 from both sides: 30x = -3450", "Divide both sides by 30: x = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x - 2846) + 91676 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2846, \"d\": 91676, \"x\": -115}", "seed": "18359766952134826608", "semantic_fingerprint": "sha256:8f0476d728a01466d15ea86e833fe7a6671f76424ddaddb763551d5862e6c0e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004492", "prompt": "Calculate: 1677 / (-55602) * (-2375)", "solution_steps": ["Divide: 1677 / (-55602) = -559/18534", "Multiply: (-559/18534) * (-2375) = 1327625/18534"], "final_answer": "1327625/18534", "answer_type": "rational", "kind": "expression", "math_text": "1677 / (-55602) * (-2375)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1677, \"b\": -55602, \"c\": -2375}", "seed": "9139650651041435511", "semantic_fingerprint": "sha256:878947fae9f41d96de09f0b2a4f2a8fdda518db2016aff6d6499b79c3085df4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004493", "prompt": "Evaluate: -70990 + 47819 * (-84426)", "solution_steps": ["Multiply: 47819 * (-84426) = -4037166894", "Add: -70990 + (-4037166894) = -4037237884"], "final_answer": "-4037237884", "answer_type": "integer", "kind": "expression", "math_text": "-70990 + 47819 * (-84426)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70990, \"b\": 47819, \"c\": -84426}", "seed": "17827476565172427401", "semantic_fingerprint": "sha256:e618802bed7748e7c622bff3064da11aa9cfc8e190569e2a03f81f83c202ea3f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004494", "prompt": "What value of x satisfies 38(x + 2111) = 17(x + 84720) + 65140?", "solution_steps": ["Expand: 38x + 80218 = 17(x + 84720) + 65140", "Expand: 38x + 80218 = 17x + 1440240 + 65140", "Combine constants: 38x + 80218 = 17x + 1505380", "Subtract 17x from both sides: 21x + 80218 = 1505380", "Subtract 80218 from both sides: 21x = 1425162", "Divide both sides by 21: x = 475054/7"], "final_answer": "475054/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 2111) = 17(x + 84720) + 65140", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 2111, \"c\": 17, \"d\": 84720, \"e\": 65140}", "seed": "14648656925890322023", "semantic_fingerprint": "sha256:13a555c359a4d03fa3f381912b0f0d44a5efdf8161815634edbb663c7bb35bc0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004495", "prompt": "Evaluate: 3268 * 1732", "solution_steps": ["Multiply: 3268 * 1732 = 5660176"], "final_answer": "5660176", "answer_type": "integer", "kind": "expression", "math_text": "3268 * 1732", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3268, \"b\": 1732}", "seed": "10547699310188045732", "semantic_fingerprint": "sha256:191cd1c2472974d53c14a9351a6b18dfeb84ea92b5706bbf7556ea24f6ecb36f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004496", "prompt": "Compute: 14766 - (-4303 - (-68404)) + 56558 / (24391 + 8804)", "solution_steps": ["Subtract: -4303 - (-68404) = 64101", "Subtract: 14766 - 64101 = -49335", "Add: 24391 + 8804 = 33195", "Divide: 56558 / 33195 = 56558/33195", "Add: -49335 + 56558/33195 = -1637618767/33195"], "final_answer": "-1637618767/33195", "answer_type": "rational", "kind": "expression", "math_text": "14766 - (-4303 - (-68404)) + 56558 / (24391 + 8804)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14766, \"b\": -4303, \"c\": -68404, \"d\": 56558, \"e\": 24391, \"f\": 8804}", "seed": "8544830498063769517", "semantic_fingerprint": "sha256:13b86a056d1155118b81eb1aa3a08db988d8b1bf94db667ec2ea7b1ed86b4c59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004497", "prompt": "Compute: 9332 + (-54511 - (-2499))", "solution_steps": ["Subtract: -54511 - (-2499) = -52012", "Add: 9332 + (-52012) = -42680"], "final_answer": "-42680", "answer_type": "integer", "kind": "expression", "math_text": "9332 + (-54511 - (-2499))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9332, \"b\": -54511, \"c\": -2499}", "seed": "4090345303187921278", "semantic_fingerprint": "sha256:0c723f1b405a3d5e09c5f09595b426f01544c23f2bbc8d4169313b44417f2d77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004498", "prompt": "Evaluate: -32422 / 7607 * (-41421)", "solution_steps": ["Divide: -32422 / 7607 = -32422/7607", "Multiply: (-32422/7607) * (-41421) = 1342951662/7607"], "final_answer": "1342951662/7607", "answer_type": "rational", "kind": "expression", "math_text": "-32422 / 7607 * (-41421)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32422, \"b\": 7607, \"c\": -41421}", "seed": "10367887959531024735", "semantic_fingerprint": "sha256:be7ba66f4ef15ae62b85d56df6a3eb373dae6a71bfa14d9e2de46906482d9e74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004499", "prompt": "Evaluate: -54030 / 9967 * 9823", "solution_steps": ["Divide: -54030 / 9967 = -54030/9967", "Multiply: (-54030/9967) * 9823 = -530736690/9967"], "final_answer": "-530736690/9967", "answer_type": "rational", "kind": "expression", "math_text": "-54030 / 9967 * 9823", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54030, \"b\": 9967, \"c\": 9823}", "seed": "1824531980567291196", "semantic_fingerprint": "sha256:26d86c46226abd4370413a66aaba6e1b2a5c7d609d41c04132ebcaf6c5f51cd9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004500", "prompt": "Evaluate: 7937 * 1554", "solution_steps": ["Multiply: 7937 * 1554 = 12334098"], "final_answer": "12334098", "answer_type": "integer", "kind": "expression", "math_text": "7937 * 1554", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7937, \"b\": 1554}", "seed": "15356205975574760022", "semantic_fingerprint": "sha256:9f72d88f33335abc45127619aff993553b9838b2b28a038f79db7029bce1cd29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004501", "prompt": "What is -9908 / (-31240)?", "solution_steps": ["Divide: -9908 / (-31240) = 2477/7810"], "final_answer": "2477/7810", "answer_type": "rational", "kind": "expression", "math_text": "-9908 / (-31240)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9908, \"b\": -31240}", "seed": "14611788927389511782", "semantic_fingerprint": "sha256:f486c22e0fb1b53ae799cc333a9a4ca43846cf86a0a867aaa4b4d138d327a93d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004502", "prompt": "Calculate: 4920 * 53572 - 1268", "solution_steps": ["Multiply: 4920 * 53572 = 263574240", "Subtract: 263574240 - 1268 = 263572972"], "final_answer": "263572972", "answer_type": "integer", "kind": "expression", "math_text": "4920 * 53572 - 1268", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4920, \"b\": 53572, \"c\": 1268}", "seed": "7999446358796128271", "semantic_fingerprint": "sha256:9a5ef9c145be1373ae05dd7e7847e6f66f3c0bbeb1afcadb93ffb24969a6a9c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004503", "prompt": "Solve for x: 29x = 24x", "solution_steps": ["Subtract 24x from both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = 24x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 24}", "seed": "11920664778744082722", "semantic_fingerprint": "sha256:ab82ae4d8054dab44564adba4a6c34a41e0b5e675ba11c800a0f8cec237bb2f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004504", "prompt": "Calculate: -20792 - (65705 - (-6612))", "solution_steps": ["Subtract: 65705 - (-6612) = 72317", "Subtract: -20792 - 72317 = -93109"], "final_answer": "-93109", "answer_type": "integer", "kind": "expression", "math_text": "-20792 - (65705 - (-6612))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20792, \"b\": 65705, \"c\": -6612}", "seed": "11760069743885446435", "semantic_fingerprint": "sha256:7e6d87a23d4fd937d7fd99ce225b3e4591535fbe60627bfb6cb155819efe70b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004505", "prompt": "Evaluate: 5538 * (-6687 + (4985 + 3682))", "solution_steps": ["Add: 4985 + 3682 = 8667", "Add: -6687 + 8667 = 1980", "Multiply: 5538 * 1980 = 10965240"], "final_answer": "10965240", "answer_type": "integer", "kind": "expression", "math_text": "5538 * (-6687 + (4985 + 3682))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5538, \"b\": -6687, \"c\": 4985, \"d\": 3682}", "seed": "9849066937320233026", "semantic_fingerprint": "sha256:110ab27793d70b2d50856af56490f515f98dd38debef04c2cf913a018200e616", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004506", "prompt": "Evaluate: -7501 + 7739", "solution_steps": ["Add: -7501 + 7739 = 238"], "final_answer": "238", "answer_type": "integer", "kind": "expression", "math_text": "-7501 + 7739", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7501, \"b\": 7739}", "seed": "10885520319453849896", "semantic_fingerprint": "sha256:c1d07be18e480d5f7ed8f7ce06ccf9381bdc72f949be0c6d137ce4176f2afae1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004507", "prompt": "What is 15245 * (6004 - 15222) + (-5134)?", "solution_steps": ["Subtract: 6004 - 15222 = -9218", "Multiply: 15245 * (-9218) = -140528410", "Add: -140528410 + (-5134) = -140533544"], "final_answer": "-140533544", "answer_type": "integer", "kind": "expression", "math_text": "15245 * (6004 - 15222) + (-5134)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15245, \"b\": 6004, \"c\": 15222, \"d\": -5134}", "seed": "7167962173770667130", "semantic_fingerprint": "sha256:b743bb92625e7aae385728a58a553ea304d89ac54919bafed5685e0c15f2b4ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004508", "prompt": "Evaluate: -1804 - (-5386)", "solution_steps": ["Subtract: -1804 - (-5386) = 3582"], "final_answer": "3582", "answer_type": "integer", "kind": "expression", "math_text": "-1804 - (-5386)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1804, \"b\": -5386}", "seed": "9679830211883160914", "semantic_fingerprint": "sha256:faec6981431f3bca135a25411937bbf3c63e2916a9db4f068331e4e7b2d1c320", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004509", "prompt": "Compute: (9847 - 40369) / (-6951) - 82825", "solution_steps": ["Subtract: 9847 - 40369 = -30522", "Divide: -30522 / (-6951) = 10174/2317", "Subtract: 10174/2317 - 82825 = -191895351/2317"], "final_answer": "-191895351/2317", "answer_type": "rational", "kind": "expression", "math_text": "(9847 - 40369) / (-6951) - 82825", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9847, \"b\": 40369, \"c\": -6951, \"d\": 82825}", "seed": "13541860665677402827", "semantic_fingerprint": "sha256:06b9fdbf81caefc14499019790833d2eef39283b8c5e5f8913e462674e5d4d62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004510", "prompt": "Calculate: (49315 + 1658) * 37370", "solution_steps": ["Add: 49315 + 1658 = 50973", "Multiply: 50973 * 37370 = 1904861010"], "final_answer": "1904861010", "answer_type": "integer", "kind": "expression", "math_text": "(49315 + 1658) * 37370", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49315, \"b\": 1658, \"c\": 37370}", "seed": "8690491408195913153", "semantic_fingerprint": "sha256:cf46dc6f51c77c354b34fad4cc9fcc82e4a701c1afc2208c7ebab6547c189098", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004511", "prompt": "What is -9394 / (2039 / (-4884 / (6687 - 5841))) - (-2120)?", "solution_steps": ["Subtract: 6687 - 5841 = 846", "Divide: -4884 / 846 = -814/141", "Divide: 2039 / (-814/141) = -287499/814", "Divide: -9394 / (-287499/814) = 7646716/287499", "Subtract: 7646716/287499 - (-2120) = 617144596/287499"], "final_answer": "617144596/287499", "answer_type": "rational", "kind": "expression", "math_text": "-9394 / (2039 / (-4884 / (6687 - 5841))) - (-2120)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n (/ n (- n n)))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9394, \"b\": 2039, \"c\": -4884, \"d\": 6687, \"e\": 5841, \"f\": -2120}", "seed": "4586535342355418072", "semantic_fingerprint": "sha256:45ebac50e5e0031081a71ddb1c38d3620c7112c6e664f3d7f3ff8bdba81a62cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004512", "prompt": "Calculate: 9987 / ((-10746 - 4671) / (-7392))", "solution_steps": ["Subtract: -10746 - 4671 = -15417", "Divide: -15417 / (-7392) = 5139/2464", "Divide: 9987 / (5139/2464) = 8202656/1713"], "final_answer": "8202656/1713", "answer_type": "rational", "kind": "expression", "math_text": "9987 / ((-10746 - 4671) / (-7392))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9987, \"b\": -10746, \"c\": 4671, \"d\": -7392}", "seed": "9376812310038620540", "semantic_fingerprint": "sha256:e0dd24369ad84610e9a13b549b2c0d684608fc3220267eab8a6d73240ba13a4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004513", "prompt": "What is 7152 - (-1284) * (-38359)?", "solution_steps": ["Multiply: -1284 * (-38359) = 49252956", "Subtract: 7152 - 49252956 = -49245804"], "final_answer": "-49245804", "answer_type": "integer", "kind": "expression", "math_text": "7152 - (-1284) * (-38359)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7152, \"b\": -1284, \"c\": -38359}", "seed": "15586674565320630359", "semantic_fingerprint": "sha256:9e3314caf408de25a4fdce166fa9df775cce841e640ed221d3b72cc9589c1c4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004514", "prompt": "Evaluate: -28755 - (5485 + (-57094)) * (-3378)", "solution_steps": ["Add: 5485 + (-57094) = -51609", "Multiply: -51609 * (-3378) = 174335202", "Subtract: -28755 - 174335202 = -174363957"], "final_answer": "-174363957", "answer_type": "integer", "kind": "expression", "math_text": "-28755 - (5485 + (-57094)) * (-3378)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28755, \"b\": 5485, \"c\": -57094, \"d\": -3378}", "seed": "9014404453393657135", "semantic_fingerprint": "sha256:9e42b7fb3731670a69abb59fb3a0913b8aabb4d87892c0c0a63b6907186e20ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004515", "prompt": "Calculate: 29359 - 5966", "solution_steps": ["Subtract: 29359 - 5966 = 23393"], "final_answer": "23393", "answer_type": "integer", "kind": "expression", "math_text": "29359 - 5966", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 29359, \"b\": 5966}", "seed": "9688368781234878538", "semantic_fingerprint": "sha256:2a2e710d3dc3a2f8ea2d77735024b5c4acb2982840521e6736c7ccbd425ad157", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004516", "prompt": "Find x: 37x = -33x - 2520", "solution_steps": ["Add 33x to both sides: 70x = -2520", "Divide both sides by 70: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = -33x - 2520", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": -33, \"d\": -2520, \"x\": -36}", "seed": "2803035991799587399", "semantic_fingerprint": "sha256:aae31a976e3635a0b312983a88c61c3882489fec4cbaf6caa9b1ab4bf7e806be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004517", "prompt": "Find x: -27(x + 7691) - 49075 = 38(x - 6609)", "solution_steps": ["Expand: -27x - 207657 - 49075 = 38(x - 6609)", "Expand: -27x - 207657 - 49075 = 38x - 251142", "Combine constants: -27x - 256732 = 38x - 251142", "Subtract 38x from both sides: -65x - 256732 = -251142", "Add 256732 to both sides: -65x = 5590", "Divide both sides by -65: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x + 7691) - 49075 = 38(x - 6609)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 7691, \"c\": 38, \"d\": 6609, \"f\": -49075, \"x\": -86}", "seed": "17842705248155198625", "semantic_fingerprint": "sha256:ac9b519a110bb0e1fa9bbb598b1e8bac9badfc9c6e83fc8499a1d39e2b9531c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004518", "prompt": "Calculate: 57106 - (6531 - (-75153))", "solution_steps": ["Subtract: 6531 - (-75153) = 81684", "Subtract: 57106 - 81684 = -24578"], "final_answer": "-24578", "answer_type": "integer", "kind": "expression", "math_text": "57106 - (6531 - (-75153))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57106, \"b\": 6531, \"c\": -75153}", "seed": "5440606233879680998", "semantic_fingerprint": "sha256:b58aa0419622ba96b4cc19135793f7ae23a1a1fd76104dd5b683adb06891e385", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004519", "prompt": "What is 5425 + (-7799 + 1395 / (-19268) - (-60712))?", "solution_steps": ["Divide: 1395 / (-19268) = -1395/19268", "Add: -7799 + (-1395/19268) = -150272527/19268", "Subtract: -150272527/19268 - (-60712) = 1019526289/19268", "Add: 5425 + 1019526289/19268 = 1124055189/19268"], "final_answer": "1124055189/19268", "answer_type": "rational", "kind": "expression", "math_text": "5425 + (-7799 + 1395 / (-19268) - (-60712))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5425, \"b\": -7799, \"c\": 1395, \"d\": -19268, \"e\": -60712}", "seed": "15318217032111453375", "semantic_fingerprint": "sha256:83b3525672c9c4e1850bce1c417995cbf8237c3c1033dca111374f60a59f0c40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004520", "prompt": "Evaluate: -32150 - (57449 - (-7912))", "solution_steps": ["Subtract: 57449 - (-7912) = 65361", "Subtract: -32150 - 65361 = -97511"], "final_answer": "-97511", "answer_type": "integer", "kind": "expression", "math_text": "-32150 - (57449 - (-7912))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32150, \"b\": 57449, \"c\": -7912}", "seed": "17987809062430043444", "semantic_fingerprint": "sha256:edfa396be0c01bd4045e2a97507217bdff8bce6dc558701d13f436cc803083d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004521", "prompt": "Compute: 7303 + (-40310) - (-24993)", "solution_steps": ["Add: 7303 + (-40310) = -33007", "Subtract: -33007 - (-24993) = -8014"], "final_answer": "-8014", "answer_type": "integer", "kind": "expression", "math_text": "7303 + (-40310) - (-24993)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7303, \"b\": -40310, \"c\": -24993}", "seed": "9829420829446522835", "semantic_fingerprint": "sha256:88ed3c13a99657d10ad5bab597a95aa0e9cda3fdf4a1095c15a7acf890fd7623", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004522", "prompt": "Calculate: 3925 - 97525 - 9413", "solution_steps": ["Subtract: 3925 - 97525 = -93600", "Subtract: -93600 - 9413 = -103013"], "final_answer": "-103013", "answer_type": "integer", "kind": "expression", "math_text": "3925 - 97525 - 9413", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3925, \"b\": 97525, \"c\": 9413}", "seed": "10872075636621055109", "semantic_fingerprint": "sha256:b715f30687f566f10d50ec7c8690ddf39612704d8cec65f9015128482c02e142", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004523", "prompt": "Evaluate: -9667 / (-4664) + (-17386) - (-3337)", "solution_steps": ["Divide: -9667 / (-4664) = 9667/4664", "Add: 9667/4664 + (-17386) = -81078637/4664", "Subtract: -81078637/4664 - (-3337) = -65514869/4664"], "final_answer": "-65514869/4664", "answer_type": "rational", "kind": "expression", "math_text": "-9667 / (-4664) + (-17386) - (-3337)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9667, \"b\": -4664, \"c\": -17386, \"d\": -3337}", "seed": "9235754937338712130", "semantic_fingerprint": "sha256:1d978d291b63f0e2f485dd230aa313323c0f78aea457e872bd38b5ea41014174", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004524", "prompt": "Calculate: 40586 * (2769 - 9808)", "solution_steps": ["Subtract: 2769 - 9808 = -7039", "Multiply: 40586 * (-7039) = -285684854"], "final_answer": "-285684854", "answer_type": "integer", "kind": "expression", "math_text": "40586 * (2769 - 9808)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40586, \"b\": 2769, \"c\": 9808}", "seed": "13072901895489278992", "semantic_fingerprint": "sha256:c808e8c705865589837123e5f91f5bb8135bd741fd24a0b1b2ee28d485ef763a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004525", "prompt": "Solve the equation 21(x - 5650) + 9643 = 18(x + 20644) + 2563 for x.", "solution_steps": ["Expand: 21x - 118650 + 9643 = 18(x + 20644) + 2563", "Expand: 21x - 118650 + 9643 = 18x + 371592 + 2563", "Combine constants: 21x - 109007 = 18x + 371592 + 2563", "Combine constants: 21x - 109007 = 18x + 374155", "Subtract 18x from both sides: 3x - 109007 = 374155", "Add 109007 to both sides: 3x = 483162", "Divide both sides by 3: x = 161054"], "final_answer": "161054", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 5650) + 9643 = 18(x + 20644) + 2563", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 5650, \"c\": 9643, \"d\": 18, \"e\": 20644, \"f\": 2563}", "seed": "15777213167489814674", "semantic_fingerprint": "sha256:f4ea7df018573027289ca990ee76a1e03952dffdf8bd74106cebe6021baadc4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004526", "prompt": "Compute: 23658 / (9291 / (-8310 - (-94690)))", "solution_steps": ["Subtract: -8310 - (-94690) = 86380", "Divide: 9291 / 86380 = 9291/86380", "Divide: 23658 / (9291/86380) = 681192680/3097"], "final_answer": "681192680/3097", "answer_type": "rational", "kind": "expression", "math_text": "23658 / (9291 / (-8310 - (-94690)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23658, \"b\": 9291, \"c\": -8310, \"d\": -94690}", "seed": "384592104969071852", "semantic_fingerprint": "sha256:19062a83b493c625f51bb548c65a67fe7f188f6391bce16a4dbbb222b642d03b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004527", "prompt": "What is (91697 + 4773) / (-4493)?", "solution_steps": ["Add: 91697 + 4773 = 96470", "Divide: 96470 / (-4493) = -96470/4493"], "final_answer": "-96470/4493", "answer_type": "rational", "kind": "expression", "math_text": "(91697 + 4773) / (-4493)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91697, \"b\": 4773, \"c\": -4493}", "seed": "1646283605265313695", "semantic_fingerprint": "sha256:fce86e13781c115cb86157730e1528c60d0d1bf6b0232801ae4530cdf9c4299b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004528", "prompt": "Evaluate: 9369 / (-24469 + 35574)", "solution_steps": ["Add: -24469 + 35574 = 11105", "Divide: 9369 / 11105 = 9369/11105"], "final_answer": "9369/11105", "answer_type": "rational", "kind": "expression", "math_text": "9369 / (-24469 + 35574)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9369, \"b\": -24469, \"c\": 35574}", "seed": "8759940324647066642", "semantic_fingerprint": "sha256:efe5dbde03db9a38ec5247dffa068ad6633a0f4649ed1bff28575bb09e1dd36f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004529", "prompt": "Calculate: -2183 - (-3249)", "solution_steps": ["Subtract: -2183 - (-3249) = 1066"], "final_answer": "1066", "answer_type": "integer", "kind": "expression", "math_text": "-2183 - (-3249)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2183, \"b\": -3249}", "seed": "2804662337088779424", "semantic_fingerprint": "sha256:81633e493bdbb138f41b280db0bf1996d0d76f7f1316ec65e4842df16f3b9049", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004530", "prompt": "What value of x satisfies x - 26024 = 39(x + 80317) - 55207?", "solution_steps": ["Expand: x - 26024 = 39x + 3132363 - 55207", "Combine constants: x - 26024 = 39x + 3077156", "Subtract 39x from both sides: -38x - 26024 = 3077156", "Add 26024 to both sides: -38x = 3103180", "Divide both sides by -38: x = -1551590/19"], "final_answer": "-1551590/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 26024 = 39(x + 80317) - 55207", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26024, \"b\": 39, \"c\": 80317, \"d\": 55207}", "seed": "18104603105788166428", "semantic_fingerprint": "sha256:350fceb1c64abd73f7f6a18db6be45cf4c46a551c762891b6148320054695582", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004531", "prompt": "Solve the equation 34x = 25x - 49409 for x.", "solution_steps": ["Subtract 25x from both sides: 9x = -49409", "Divide both sides by 9: x = -49409/9"], "final_answer": "-49409/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x = 25x - 49409", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 25, \"c\": 49409}", "seed": "4053777879153456267", "semantic_fingerprint": "sha256:4330cafd25a4e76f820f5944231ec2aac144addc1575a83aa6871cebb03fb8d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004532", "prompt": "Compute: 2875 + 95472", "solution_steps": ["Add: 2875 + 95472 = 98347"], "final_answer": "98347", "answer_type": "integer", "kind": "expression", "math_text": "2875 + 95472", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2875, \"b\": 95472}", "seed": "11532990097355108918", "semantic_fingerprint": "sha256:eb06dbb19fcca9eca2d5d5d595e54cc63c694c93b07f19182e6619d79bc9d07d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004533", "prompt": "Calculate: 8238 * (-4919 - (-9325))", "solution_steps": ["Subtract: -4919 - (-9325) = 4406", "Multiply: 8238 * 4406 = 36296628"], "final_answer": "36296628", "answer_type": "integer", "kind": "expression", "math_text": "8238 * (-4919 - (-9325))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8238, \"b\": -4919, \"c\": -9325}", "seed": "10045452668908973783", "semantic_fingerprint": "sha256:6375ec0c4d8f86f31f2a20f73caef42b8dc8ec0c842e11ebf0836bb7d4405dad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004534", "prompt": "Solve for x: -13x + 55316 = x + 57822", "solution_steps": ["Subtract x from both sides: -14x + 55316 = 57822", "Subtract 55316 from both sides: -14x = 2506", "Divide both sides by -14: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x + 55316 = x + 57822", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 55316, \"d\": 57822, \"x\": -179}", "seed": "10175731781140758127", "semantic_fingerprint": "sha256:dce70a179309be06a9856c64ff5d765a880f2aa9c8c7e7b2533254a336cc2817", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004535", "prompt": "Compute: 4026 * (-1756)", "solution_steps": ["Multiply: 4026 * (-1756) = -7069656"], "final_answer": "-7069656", "answer_type": "integer", "kind": "expression", "math_text": "4026 * (-1756)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4026, \"b\": -1756}", "seed": "2279326256064682634", "semantic_fingerprint": "sha256:b7ab7bf40ef9c7d6497b73208a7790ca56c7879160c9a638cb057721e288a8f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004536", "prompt": "Solve the equation x = 22(x - 75943) + 95424 for x.", "solution_steps": ["Expand: x = 22x - 1670746 + 95424", "Combine constants: x = 22x - 1575322", "Subtract 22x from both sides: -21x = -1575322", "Divide both sides by -21: x = 225046/3"], "final_answer": "225046/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 22(x - 75943) + 95424", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 75943, \"c\": 95424}", "seed": "4288056605643188909", "semantic_fingerprint": "sha256:f81de036155b2d4c5e8268f85cf22cad10d0ab48b564a886d388c2c0fd63542f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004537", "prompt": "Evaluate: -65926 / (-6833 / 5407) - (-9164)", "solution_steps": ["Divide: -6833 / 5407 = -6833/5407", "Divide: -65926 / (-6833/5407) = 356461882/6833", "Subtract: 356461882/6833 - (-9164) = 419079494/6833"], "final_answer": "419079494/6833", "answer_type": "rational", "kind": "expression", "math_text": "-65926 / (-6833 / 5407) - (-9164)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -65926, \"b\": -6833, \"c\": 5407, \"d\": -9164}", "seed": "16937690653332892624", "semantic_fingerprint": "sha256:7a37bcd96ff2ab3c5cad61434e176e940dabf2a96968f70b6694b5533cc12f75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004538", "prompt": "Calculate: -41359 / (89230 - (-7776))", "solution_steps": ["Subtract: 89230 - (-7776) = 97006", "Divide: -41359 / 97006 = -41359/97006"], "final_answer": "-41359/97006", "answer_type": "rational", "kind": "expression", "math_text": "-41359 / (89230 - (-7776))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41359, \"b\": 89230, \"c\": -7776}", "seed": "13723289975642856987", "semantic_fingerprint": "sha256:09839c4660805808d040d01eb8b422d858b654266be0b3770b0d488fe1b975b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004539", "prompt": "Calculate: 4073 * 54502 - (-2826) * (-11223)", "solution_steps": ["Multiply: 4073 * 54502 = 221986646", "Multiply: -2826 * (-11223) = 31716198", "Subtract: 221986646 - 31716198 = 190270448"], "final_answer": "190270448", "answer_type": "integer", "kind": "expression", "math_text": "4073 * 54502 - (-2826) * (-11223)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4073, \"b\": 54502, \"c\": -2826, \"d\": -11223}", "seed": "11100558561383716290", "semantic_fingerprint": "sha256:e7d8c2663d8a3df9cc91f126cbd006dced11592912ddedb9a77623e4f2e663bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004540", "prompt": "What value of x satisfies -21(x + 71966) = x + 87307?", "solution_steps": ["Expand: -21x - 1511286 = x + 87307", "Subtract x from both sides: -22x - 1511286 = 87307", "Add 1511286 to both sides: -22x = 1598593", "Divide both sides by -22: x = -1598593/22"], "final_answer": "-1598593/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x + 71966) = x + 87307", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 71966, \"c\": 87307}", "seed": "9276860268885188591", "semantic_fingerprint": "sha256:335a3f644b789d8b168656bffecde7fc7510e53d1b266cfa915b1f0d55aa2d10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004541", "prompt": "Evaluate: 1996 / (-4139 - 6470)", "solution_steps": ["Subtract: -4139 - 6470 = -10609", "Divide: 1996 / (-10609) = -1996/10609"], "final_answer": "-1996/10609", "answer_type": "rational", "kind": "expression", "math_text": "1996 / (-4139 - 6470)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1996, \"b\": -4139, \"c\": 6470}", "seed": "14442927855766519787", "semantic_fingerprint": "sha256:f40ab7dce1b3c0a3ca773e1a6e74370fc3ce9e45e9893e8de14904436ed0a9c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004542", "prompt": "What value of x satisfies 40x = x + 5616?", "solution_steps": ["Subtract x from both sides: 39x = 5616", "Divide both sides by 39: x = 144"], "final_answer": "144", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = x + 5616", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": 5616, \"x\": 144}", "seed": "2234158114565752888", "semantic_fingerprint": "sha256:5035ac855b981db9ee0eb9e989c066b44169a934cd979501c04690f02d822781", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004543", "prompt": "What is -96704 - (-15291) / (-6077)?", "solution_steps": ["Divide: -15291 / (-6077) = 15291/6077", "Subtract: -96704 - 15291/6077 = -587685499/6077"], "final_answer": "-587685499/6077", "answer_type": "rational", "kind": "expression", "math_text": "-96704 - (-15291) / (-6077)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96704, \"b\": -15291, \"c\": -6077}", "seed": "16604155573296034602", "semantic_fingerprint": "sha256:dd1f300a9d9fb9fb86bd1b8f2f8bdc9e68ffa3116eae9bd5887681062d21ed49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004544", "prompt": "Calculate: -41585 - (-7408) / (-58277)", "solution_steps": ["Divide: -7408 / (-58277) = 7408/58277", "Subtract: -41585 - 7408/58277 = -2423456453/58277"], "final_answer": "-2423456453/58277", "answer_type": "rational", "kind": "expression", "math_text": "-41585 - (-7408) / (-58277)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41585, \"b\": -7408, \"c\": -58277}", "seed": "1272546829021429257", "semantic_fingerprint": "sha256:66a6459688e0a3362ad573df52514f891f750226bfcb691e2a063caa7e9de07c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004545", "prompt": "Solve for x: 19(x - 3907) - 2568 = x - 78943", "solution_steps": ["Expand: 19x - 74233 - 2568 = x - 78943", "Combine constants: 19x - 76801 = x - 78943", "Subtract x from both sides: 18x - 76801 = -78943", "Add 76801 to both sides: 18x = -2142", "Divide both sides by 18: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 3907) - 2568 = x - 78943", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3907, \"c\": 2568, \"e\": -78943, \"x\": -119}", "seed": "2219119268596017658", "semantic_fingerprint": "sha256:153b31473dfc3e08483ab907ec4661662c8812149764879c39a0b999e29a9eba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004546", "prompt": "Compute: 55467 + (-3243)", "solution_steps": ["Add: 55467 + (-3243) = 52224"], "final_answer": "52224", "answer_type": "integer", "kind": "expression", "math_text": "55467 + (-3243)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 55467, \"b\": -3243}", "seed": "17024245921743365311", "semantic_fingerprint": "sha256:fa136c1eef5fc6b0331f96fc54b3448f2a0d88f7f18c37d193ca193fa3a48409", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004547", "prompt": "Find x: x = -32(x - 56067)", "solution_steps": ["Expand: x = -32x + 1794144", "Add 32x to both sides: 33x = 1794144", "Divide both sides by 33: x = 54368"], "final_answer": "54368", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -32(x - 56067)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 56067}", "seed": "10646779990326387207", "semantic_fingerprint": "sha256:f84b0fd721f8115ed4d4ee88d9df547f28cee91263b16a36e7838ef6f44504cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004548", "prompt": "Find x: 16(x - 7800) - 79202 = -37(x + 19451) - 2628", "solution_steps": ["Expand: 16x - 124800 - 79202 = -37(x + 19451) - 2628", "Expand: 16x - 124800 - 79202 = -37x - 719687 - 2628", "Combine constants: 16x - 204002 = -37x - 719687 - 2628", "Combine constants: 16x - 204002 = -37x - 722315", "Add 37x to both sides: 53x - 204002 = -722315", "Add 204002 to both sides: 53x = -518313", "Divide both sides by 53: x = -518313/53"], "final_answer": "-518313/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 7800) - 79202 = -37(x + 19451) - 2628", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 7800, \"c\": 79202, \"d\": -37, \"e\": 19451, \"f\": 2628}", "seed": "13592785590071410030", "semantic_fingerprint": "sha256:9316025aefd5b511af7a869fe3cbafc6ef953627b33feb8904eb97298a016673", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004549", "prompt": "What value of x satisfies x = 34(x + 7938) - 81749?", "solution_steps": ["Expand: x = 34x + 269892 - 81749", "Combine constants: x = 34x + 188143", "Subtract 34x from both sides: -33x = 188143", "Divide both sides by -33: x = -188143/33"], "final_answer": "-188143/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 34(x + 7938) - 81749", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7938, \"c\": 81749}", "seed": "16687014069308252219", "semantic_fingerprint": "sha256:76612efa39e26421ff33db40c5607fe66a12f04a2cb6d5200e3a2b1041e16f5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004550", "prompt": "Solve for x: -16(x - 2601) = 18x + 42908", "solution_steps": ["Expand: -16x + 41616 = 18x + 42908", "Subtract 18x from both sides: -34x + 41616 = 42908", "Subtract 41616 from both sides: -34x = 1292", "Divide both sides by -34: x = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16(x - 2601) = 18x + 42908", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 2601, \"c\": 18, \"e\": 42908, \"x\": -38}", "seed": "8848874793814967983", "semantic_fingerprint": "sha256:fcc9aceacbb9ace890763be2d8a7a6e53120c717f0ac755540a85444f814b870", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004551", "prompt": "What value of x satisfies -15(x - 7932) - 6966 = 26(x + 7784) - 86516?", "solution_steps": ["Expand: -15x + 118980 - 6966 = 26(x + 7784) - 86516", "Expand: -15x + 118980 - 6966 = 26x + 202384 - 86516", "Combine constants: -15x + 112014 = 26x + 202384 - 86516", "Combine constants: -15x + 112014 = 26x + 115868", "Subtract 26x from both sides: -41x + 112014 = 115868", "Subtract 112014 from both sides: -41x = 3854", "Divide both sides by -41: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x - 7932) - 6966 = 26(x + 7784) - 86516", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 7932, \"c\": 6966, \"d\": 26, \"e\": 7784, \"g\": -86516, \"x\": -94}", "seed": "13911143635411505002", "semantic_fingerprint": "sha256:f750550af515910894cd8ba4b132f400bdc403d564042f633333af26d2c59cee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004552", "prompt": "What value of x satisfies x - 94859 = -94890?", "solution_steps": ["Add 94859 to both sides: x = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 94859 = -94890", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94859, \"c\": -94890, \"x\": -31}", "seed": "9123751609796801255", "semantic_fingerprint": "sha256:a1cc97b1d73e4ae9b578414ae77eabc83ca93143365606aa50bf6d8a0eeed72d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004553", "prompt": "Calculate: -14199 + 4824", "solution_steps": ["Add: -14199 + 4824 = -9375"], "final_answer": "-9375", "answer_type": "integer", "kind": "expression", "math_text": "-14199 + 4824", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -14199, \"b\": 4824}", "seed": "4247033328979100651", "semantic_fingerprint": "sha256:85a7746b80b94d1b9c1d68d92d1b3ed5273c86f838fee0f58534d2f523fe47ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004554", "prompt": "What is 57143 - 20532?", "solution_steps": ["Subtract: 57143 - 20532 = 36611"], "final_answer": "36611", "answer_type": "integer", "kind": "expression", "math_text": "57143 - 20532", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 57143, \"b\": 20532}", "seed": "7920089404777828167", "semantic_fingerprint": "sha256:3e36119b11bda78d235ae40fec565fe7bc5d31bdfcbd984d4d2207330bd0c292", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004555", "prompt": "What is 2917 * (57018 / 79900)?", "solution_steps": ["Divide: 57018 / 79900 = 1677/2350", "Multiply: 2917 * (1677/2350) = 4891809/2350"], "final_answer": "4891809/2350", "answer_type": "rational", "kind": "expression", "math_text": "2917 * (57018 / 79900)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2917, \"b\": 57018, \"c\": 79900}", "seed": "8782149189476228862", "semantic_fingerprint": "sha256:c20c698ae5cab65141edf0f0bc8d17acca493c4dd20b26ed06c6b982187d2091", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004556", "prompt": "Evaluate: -1740 + (26462 - (-9600))", "solution_steps": ["Subtract: 26462 - (-9600) = 36062", "Add: -1740 + 36062 = 34322"], "final_answer": "34322", "answer_type": "integer", "kind": "expression", "math_text": "-1740 + (26462 - (-9600))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1740, \"b\": 26462, \"c\": -9600}", "seed": "8232658908305138252", "semantic_fingerprint": "sha256:9c518f42e169466d6136fce24efcd011fa70408dadf443446ee218bde53a5bac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004557", "prompt": "Compute: -18593 * (-5468) - (-31557) * (-5680 - 2601)", "solution_steps": ["Multiply: -18593 * (-5468) = 101666524", "Subtract: -5680 - 2601 = -8281", "Multiply: -31557 * (-8281) = 261323517", "Subtract: 101666524 - 261323517 = -159656993"], "final_answer": "-159656993", "answer_type": "integer", "kind": "expression", "math_text": "-18593 * (-5468) - (-31557) * (-5680 - 2601)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18593, \"b\": -5468, \"c\": -31557, \"d\": -5680, \"e\": 2601}", "seed": "6701232958790866508", "semantic_fingerprint": "sha256:a7b01a9906aaaf351984bea1afc932ef2a49f7719649ff6fed7d9122465db6c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004558", "prompt": "Compute: 7679 + 7765", "solution_steps": ["Add: 7679 + 7765 = 15444"], "final_answer": "15444", "answer_type": "integer", "kind": "expression", "math_text": "7679 + 7765", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7679, \"b\": 7765}", "seed": "2585866802241373765", "semantic_fingerprint": "sha256:86d16d044d66249f73ca00984636f029e6fc304fcba5146b3df9b6404624b2c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004559", "prompt": "Evaluate: 35037 - (-46839) * (-6547)", "solution_steps": ["Multiply: -46839 * (-6547) = 306654933", "Subtract: 35037 - 306654933 = -306619896"], "final_answer": "-306619896", "answer_type": "integer", "kind": "expression", "math_text": "35037 - (-46839) * (-6547)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35037, \"b\": -46839, \"c\": -6547}", "seed": "12963110070606351563", "semantic_fingerprint": "sha256:22fd31cfdf7ae17198a9cbb48feb10a65b30797a8bb7d0e49840cdfa4022b016", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004560", "prompt": "Compute: (97775 + 9750 + (-9522)) / 39569", "solution_steps": ["Add: 97775 + 9750 = 107525", "Add: 107525 + (-9522) = 98003", "Divide: 98003 / 39569 = 98003/39569"], "final_answer": "98003/39569", "answer_type": "rational", "kind": "expression", "math_text": "(97775 + 9750 + (-9522)) / 39569", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 97775, \"b\": 9750, \"c\": -9522, \"d\": 39569}", "seed": "1746492771411980848", "semantic_fingerprint": "sha256:adb629f6a1f20e8f439582947db845bc21b2c71627e5d16fa39ac3830c41f59d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004561", "prompt": "Evaluate: -6753 / 8576 * (-81913) + (-5645 - 1108)", "solution_steps": ["Divide: -6753 / 8576 = -6753/8576", "Multiply: (-6753/8576) * (-81913) = 553158489/8576", "Subtract: -5645 - 1108 = -6753", "Add: 553158489/8576 + (-6753) = 495244761/8576"], "final_answer": "495244761/8576", "answer_type": "rational", "kind": "expression", "math_text": "-6753 / 8576 * (-81913) + (-5645 - 1108)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6753, \"b\": 8576, \"c\": -81913, \"d\": -5645, \"e\": 1108}", "seed": "10027176714198842581", "semantic_fingerprint": "sha256:215f02c6372a81e488a56e9a5a5c8441f7968f9bee6b97fdc2c366eaaf138d07", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004562", "prompt": "Solve for x: 15x = -17x - 4736", "solution_steps": ["Add 17x to both sides: 32x = -4736", "Divide both sides by 32: x = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = -17x - 4736", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -17, \"d\": -4736, \"x\": -148}", "seed": "13456603100122050308", "semantic_fingerprint": "sha256:b8629cf6f97c24c5915fcc779836d88282d96b570991a7c40fc447b8089b0b5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004563", "prompt": "Evaluate: 90167 - (29180 - 12041 - (-3084))", "solution_steps": ["Subtract: 29180 - 12041 = 17139", "Subtract: 17139 - (-3084) = 20223", "Subtract: 90167 - 20223 = 69944"], "final_answer": "69944", "answer_type": "integer", "kind": "expression", "math_text": "90167 - (29180 - 12041 - (-3084))", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 90167, \"b\": 29180, \"c\": 12041, \"d\": -3084}", "seed": "16326232471005496493", "semantic_fingerprint": "sha256:c5d8033880675b88910b8db44e509c3ca43a24d1741c92e629059bdcd7d76a95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004564", "prompt": "Calculate: -9127 + (-64339)", "solution_steps": ["Add: -9127 + (-64339) = -73466"], "final_answer": "-73466", "answer_type": "integer", "kind": "expression", "math_text": "-9127 + (-64339)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9127, \"b\": -64339}", "seed": "6496572818645710065", "semantic_fingerprint": "sha256:9b43905fe22292b03837fa95d4e72328156c1bda4db8b7374d9633d93f1c8346", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004565", "prompt": "Evaluate: -3397 - 3939", "solution_steps": ["Subtract: -3397 - 3939 = -7336"], "final_answer": "-7336", "answer_type": "integer", "kind": "expression", "math_text": "-3397 - 3939", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3397, \"b\": 3939}", "seed": "2616610782362491350", "semantic_fingerprint": "sha256:149ae64c6eef360d498a273b433d351020ac9f88d3bd8e1506f69c22c7cf5c12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004566", "prompt": "Find x: 33x + 53680 = -15x - 34108", "solution_steps": ["Add 15x to both sides: 48x + 53680 = -34108", "Subtract 53680 from both sides: 48x = -87788", "Divide both sides by 48: x = -21947/12"], "final_answer": "-21947/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x + 53680 = -15x - 34108", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 53680, \"c\": -15, \"d\": 34108}", "seed": "576922505036963134", "semantic_fingerprint": "sha256:9e4cea5015285ec69dc3946e8655606dd7a0fadabd2e401fc4f5294842f64f86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004567", "prompt": "Solve for x: -31x - 4160 = x", "solution_steps": ["Subtract x from both sides: -32x - 4160 = 0", "Add 4160 to both sides: -32x = 4160", "Divide both sides by -32: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x - 4160 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"c\": -4160, \"x\": -130}", "seed": "10858507289278146986", "semantic_fingerprint": "sha256:729ea1652aa7a06fd7b5c14a66a08fb4edb0edd029e1e401e8133bce1d938f5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004568", "prompt": "Calculate: -6375 * 3333 - (3727 - (-68368))", "solution_steps": ["Multiply: -6375 * 3333 = -21247875", "Subtract: 3727 - (-68368) = 72095", "Subtract: -21247875 - 72095 = -21319970"], "final_answer": "-21319970", "answer_type": "integer", "kind": "expression", "math_text": "-6375 * 3333 - (3727 - (-68368))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6375, \"b\": 3333, \"c\": 3727, \"d\": -68368}", "seed": "12516018309692395876", "semantic_fingerprint": "sha256:fd61b0c65c8cc32239c1ae321ca46167e736a5c727ed1b32929495d347771c84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004569", "prompt": "Calculate: (-4039 + (-5488 + 89702)) / (-9984)", "solution_steps": ["Add: -5488 + 89702 = 84214", "Add: -4039 + 84214 = 80175", "Divide: 80175 / (-9984) = -26725/3328"], "final_answer": "-26725/3328", "answer_type": "rational", "kind": "expression", "math_text": "(-4039 + (-5488 + 89702)) / (-9984)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4039, \"b\": -5488, \"c\": 89702, \"d\": -9984}", "seed": "8223927644988177988", "semantic_fingerprint": "sha256:2de6d129afe6dcbe71b6aa8bbc67f60180ec18cdfefa8e2c4f99f674403238c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004570", "prompt": "What is -8819 * 7412 / (-3373)?", "solution_steps": ["Multiply: -8819 * 7412 = -65366428", "Divide: -65366428 / (-3373) = 65366428/3373"], "final_answer": "65366428/3373", "answer_type": "rational", "kind": "expression", "math_text": "-8819 * 7412 / (-3373)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8819, \"b\": 7412, \"c\": -3373}", "seed": "17562383522758919693", "semantic_fingerprint": "sha256:0debd8052d5e516abc11b1a8404371f2cf339c5358117eee1fb8cc460cb6094b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004571", "prompt": "Evaluate: 37235 - (-17140) - (-5107) - (-86257)", "solution_steps": ["Subtract: 37235 - (-17140) = 54375", "Subtract: 54375 - (-5107) = 59482", "Subtract: 59482 - (-86257) = 145739"], "final_answer": "145739", "answer_type": "integer", "kind": "expression", "math_text": "37235 - (-17140) - (-5107) - (-86257)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37235, \"b\": -17140, \"c\": -5107, \"d\": -86257}", "seed": "4172668666587399928", "semantic_fingerprint": "sha256:85e4c039182e2a0f15057063fdc934c097fc8da1c645b042bd9f366d6166dbc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004572", "prompt": "Solve for x: -40x = x - 3813", "solution_steps": ["Subtract x from both sides: -41x = -3813", "Divide both sides by -41: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x = x - 3813", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"c\": -3813, \"x\": 93}", "seed": "17989885515141154910", "semantic_fingerprint": "sha256:9988ff7b5c68d07dc8b8b83847443ba76f2c5b1eba3501f5517c1fa927b75259", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004573", "prompt": "Evaluate: 78959 - (-69157) + 14535", "solution_steps": ["Subtract: 78959 - (-69157) = 148116", "Add: 148116 + 14535 = 162651"], "final_answer": "162651", "answer_type": "integer", "kind": "expression", "math_text": "78959 - (-69157) + 14535", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78959, \"b\": -69157, \"c\": 14535}", "seed": "1594592878592520918", "semantic_fingerprint": "sha256:2e4b7366edae7b91738350cde16e9f84ecb716302dbbed7aa2910bad94e370d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004574", "prompt": "What is 8410 / (1108 + 34398) - 3507 * 2445?", "solution_steps": ["Add: 1108 + 34398 = 35506", "Divide: 8410 / 35506 = 4205/17753", "Multiply: 3507 * 2445 = 8574615", "Subtract: 4205/17753 - 8574615 = -152225135890/17753"], "final_answer": "-152225135890/17753", "answer_type": "rational", "kind": "expression", "math_text": "8410 / (1108 + 34398) - 3507 * 2445", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8410, \"b\": 1108, \"c\": 34398, \"d\": 3507, \"e\": 2445}", "seed": "11728208987855275546", "semantic_fingerprint": "sha256:1c9f5d51cb1a45a616c011a4d4aa35dafecc2a48c590b0c2d2e0a768a216cd0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004575", "prompt": "Calculate: -9547 + (-18820) - (16910 - (-4176))", "solution_steps": ["Add: -9547 + (-18820) = -28367", "Subtract: 16910 - (-4176) = 21086", "Subtract: -28367 - 21086 = -49453"], "final_answer": "-49453", "answer_type": "integer", "kind": "expression", "math_text": "-9547 + (-18820) - (16910 - (-4176))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9547, \"b\": -18820, \"c\": 16910, \"d\": -4176}", "seed": "18039591394899729760", "semantic_fingerprint": "sha256:02614af36071f526c25056e6cf7f85adfdf228fa9a6506e2c6cff2b3fec7f750", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004576", "prompt": "What is 1522 * (-39741)?", "solution_steps": ["Multiply: 1522 * (-39741) = -60485802"], "final_answer": "-60485802", "answer_type": "integer", "kind": "expression", "math_text": "1522 * (-39741)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1522, \"b\": -39741}", "seed": "11151659608173924422", "semantic_fingerprint": "sha256:578fb98d9045049d0e323b950d0b3537cb8e2beacae5e9fdd14b4232af313a10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004577", "prompt": "Calculate: (4733 + (5274 - (-6428))) / (5925 - 7216 + 15495)", "solution_steps": ["Subtract: 5274 - (-6428) = 11702", "Add: 4733 + 11702 = 16435", "Subtract: 5925 - 7216 = -1291", "Add: -1291 + 15495 = 14204", "Divide: 16435 / 14204 = 16435/14204"], "final_answer": "16435/14204", "answer_type": "rational", "kind": "expression", "math_text": "(4733 + (5274 - (-6428))) / (5925 - 7216 + 15495)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4733, \"b\": 5274, \"c\": -6428, \"d\": 5925, \"e\": 7216, \"f\": 15495}", "seed": "16289305841782052426", "semantic_fingerprint": "sha256:a3cf4bfbab95c4c636ef4a45b4ddfc6d0d8b36dceac44e841dd7f8fe9692e52a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004578", "prompt": "Solve the equation x = 40(x + 5585) - 38516 for x.", "solution_steps": ["Expand: x = 40x + 223400 - 38516", "Combine constants: x = 40x + 184884", "Subtract 40x from both sides: -39x = 184884", "Divide both sides by -39: x = -61628/13"], "final_answer": "-61628/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 40(x + 5585) - 38516", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5585, \"c\": 38516}", "seed": "16632802412738344652", "semantic_fingerprint": "sha256:0b9f92e658db10bed51c68e46d71f3fa70e78d841f27e495382cee7181e95910", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004579", "prompt": "Evaluate: -6184 * 38000 + 6864 * (58679 / (-9176))", "solution_steps": ["Multiply: -6184 * 38000 = -234992000", "Divide: 58679 / (-9176) = -58679/9176", "Multiply: 6864 * (-58679/9176) = -50346582/1147", "Add: -234992000 + (-50346582/1147) = -269586170582/1147"], "final_answer": "-269586170582/1147", "answer_type": "rational", "kind": "expression", "math_text": "-6184 * 38000 + 6864 * (58679 / (-9176))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6184, \"b\": 38000, \"c\": 6864, \"d\": 58679, \"e\": -9176}", "seed": "6098948951046544436", "semantic_fingerprint": "sha256:8057c26301573fc164f7df26e68e6d0f32653bd6f12d481175138e78b8ad68db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004580", "prompt": "Solve for x: x + 88438 = 88515", "solution_steps": ["Subtract 88438 from both sides: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 88438 = 88515", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88438, \"c\": 88515, \"x\": 77}", "seed": "7800061921466765919", "semantic_fingerprint": "sha256:93ab81acee11fa1b00ea7ea99370dddaeaca9e1395240e81128140273cfc3686", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004581", "prompt": "What is 9457 * (3264 * 2765) + (-4639 - 13555) * (-2657)?", "solution_steps": ["Multiply: 3264 * 2765 = 9024960", "Multiply: 9457 * 9024960 = 85349046720", "Subtract: -4639 - 13555 = -18194", "Multiply: -18194 * (-2657) = 48341458", "Add: 85349046720 + 48341458 = 85397388178"], "final_answer": "85397388178", "answer_type": "integer", "kind": "expression", "math_text": "9457 * (3264 * 2765) + (-4639 - 13555) * (-2657)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n n)) (* (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9457, \"b\": 3264, \"c\": 2765, \"d\": -4639, \"e\": 13555, \"f\": -2657}", "seed": "17354192900866793966", "semantic_fingerprint": "sha256:f14d89364a2d4c04aa6675e828bbca9d3608fdc13c642b90ea530c2cd0be6267", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004582", "prompt": "Evaluate: (-1574 - 12194) / (-67807) * (-6762)", "solution_steps": ["Subtract: -1574 - 12194 = -13768", "Divide: -13768 / (-67807) = 13768/67807", "Multiply: (13768/67807) * (-6762) = -93099216/67807"], "final_answer": "-93099216/67807", "answer_type": "rational", "kind": "expression", "math_text": "(-1574 - 12194) / (-67807) * (-6762)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1574, \"b\": 12194, \"c\": -67807, \"d\": -6762}", "seed": "11970410038642687088", "semantic_fingerprint": "sha256:5fa97ee7f1d7b2d8cd857195ea82a0e6d9608b510a05f33703a00e9cdad27cf5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004583", "prompt": "What is -4552 - 58894 * (-9202)?", "solution_steps": ["Multiply: 58894 * (-9202) = -541942588", "Subtract: -4552 - (-541942588) = 541938036"], "final_answer": "541938036", "answer_type": "integer", "kind": "expression", "math_text": "-4552 - 58894 * (-9202)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4552, \"b\": 58894, \"c\": -9202}", "seed": "10377515882944533747", "semantic_fingerprint": "sha256:42ab60f392e4525157a010d9d0b8ba2faf90d470f478a21c45b06c69fae61314", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004584", "prompt": "Compute: -8687 - (4617 + (-8818))", "solution_steps": ["Add: 4617 + (-8818) = -4201", "Subtract: -8687 - (-4201) = -4486"], "final_answer": "-4486", "answer_type": "integer", "kind": "expression", "math_text": "-8687 - (4617 + (-8818))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8687, \"b\": 4617, \"c\": -8818}", "seed": "8265632611303994476", "semantic_fingerprint": "sha256:823f425e6c654a5601bb48144d4e90c331de34176871c267e6e13883ce69cf13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004585", "prompt": "Solve the equation x + 25282 = 39x + 26954 for x.", "solution_steps": ["Subtract 39x from both sides: -38x + 25282 = 26954", "Subtract 25282 from both sides: -38x = 1672", "Divide both sides by -38: x = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 25282 = 39x + 26954", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25282, \"b\": 39, \"d\": 26954, \"x\": -44}", "seed": "5768504127818930166", "semantic_fingerprint": "sha256:b8e311322e6011d9be36baeae6a55adff6c1e0f9fe1876c178297abbf3ef0da0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004586", "prompt": "Evaluate: -4500 / (-5930)", "solution_steps": ["Divide: -4500 / (-5930) = 450/593"], "final_answer": "450/593", "answer_type": "rational", "kind": "expression", "math_text": "-4500 / (-5930)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4500, \"b\": -5930}", "seed": "7968924491957378248", "semantic_fingerprint": "sha256:589d47ce613dbd79fb05ac189afa28a36c5cf831524ba26718e3b464fe98768a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004587", "prompt": "Solve for x: 27x + 97049 = x + 95177", "solution_steps": ["Subtract x from both sides: 26x + 97049 = 95177", "Subtract 97049 from both sides: 26x = -1872", "Divide both sides by 26: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 97049 = x + 95177", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 97049, \"d\": 95177, \"x\": -72}", "seed": "16128524586398468003", "semantic_fingerprint": "sha256:33c1142431d022dd15d5d659a7d499ca180354f4e7594ba21a64f457be37b058", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004588", "prompt": "What value of x satisfies 33x - 1216 = x?", "solution_steps": ["Subtract x from both sides: 32x - 1216 = 0", "Add 1216 to both sides: 32x = 1216", "Divide both sides by 32: x = 38"], "final_answer": "38", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 1216 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": -1216, \"x\": 38}", "seed": "1427818231312183038", "semantic_fingerprint": "sha256:81d851a62a1289248ba904d6121947bf477fb0073fc456126222dd0b1032d634", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004589", "prompt": "Solve for x: -36(x + 9575) = 22(x - 93850)", "solution_steps": ["Expand: -36x - 344700 = 22(x - 93850)", "Expand: -36x - 344700 = 22x - 2064700", "Subtract 22x from both sides: -58x - 344700 = -2064700", "Add 344700 to both sides: -58x = -1720000", "Divide both sides by -58: x = 860000/29"], "final_answer": "860000/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 9575) = 22(x - 93850)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 9575, \"c\": 22, \"d\": 93850}", "seed": "1482849584283812298", "semantic_fingerprint": "sha256:3e6080bd83039d005465004f18f536007339c21b45d0cd93eb3a957ca6f3de55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004590", "prompt": "What value of x satisfies 34x - 1854 = 16x?", "solution_steps": ["Subtract 16x from both sides: 18x - 1854 = 0", "Add 1854 to both sides: 18x = 1854", "Divide both sides by 18: x = 103"], "final_answer": "103", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 1854 = 16x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 16, \"d\": -1854, \"x\": 103}", "seed": "10678842510598764727", "semantic_fingerprint": "sha256:24bc42a58f3708f8b550507e8f357945da3b1f009f86becaec4f69c87de39ba5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004591", "prompt": "What value of x satisfies 32(x - 6200) = 15(x - 22349)?", "solution_steps": ["Expand: 32x - 198400 = 15(x - 22349)", "Expand: 32x - 198400 = 15x - 335235", "Subtract 15x from both sides: 17x - 198400 = -335235", "Add 198400 to both sides: 17x = -136835", "Divide both sides by 17: x = -136835/17"], "final_answer": "-136835/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 6200) = 15(x - 22349)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6200, \"c\": 15, \"d\": 22349}", "seed": "9321850968450202768", "semantic_fingerprint": "sha256:d1757bb5b3623a398ac8707c96cb39fdbff6a1a62479b25fcacae13e30ebd8ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004592", "prompt": "Evaluate: 33770 * (-49557 + 7398) + (-7782)", "solution_steps": ["Add: -49557 + 7398 = -42159", "Multiply: 33770 * (-42159) = -1423709430", "Add: -1423709430 + (-7782) = -1423717212"], "final_answer": "-1423717212", "answer_type": "integer", "kind": "expression", "math_text": "33770 * (-49557 + 7398) + (-7782)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33770, \"b\": -49557, \"c\": 7398, \"d\": -7782}", "seed": "16891389867443754890", "semantic_fingerprint": "sha256:9dde1edd8ad8c90f2fdeb4783ad6187a67ab330f713b27e5e471a94a3ef849be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004593", "prompt": "Evaluate: -65940 - 9081", "solution_steps": ["Subtract: -65940 - 9081 = -75021"], "final_answer": "-75021", "answer_type": "integer", "kind": "expression", "math_text": "-65940 - 9081", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -65940, \"b\": 9081}", "seed": "8220172532631330059", "semantic_fingerprint": "sha256:70c0dd2448e088a360857a5ac91673eefdbcd68b7ee2fbef3fc90a302975f9fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004594", "prompt": "Calculate: 4526 + (3615 + (9131 + 2917))", "solution_steps": ["Add: 9131 + 2917 = 12048", "Add: 3615 + 12048 = 15663", "Add: 4526 + 15663 = 20189"], "final_answer": "20189", "answer_type": "integer", "kind": "expression", "math_text": "4526 + (3615 + (9131 + 2917))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4526, \"b\": 3615, \"c\": 9131, \"d\": 2917}", "seed": "13695466097363791364", "semantic_fingerprint": "sha256:97d2fef09ff9df10646944bbf7e4d447058cdbd01261b47726968ab1ac2ad8d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004595", "prompt": "Solve the equation 15x - 9618 = x - 10626 for x.", "solution_steps": ["Subtract x from both sides: 14x - 9618 = -10626", "Add 9618 to both sides: 14x = -1008", "Divide both sides by 14: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 9618 = x - 10626", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 9618, \"d\": -10626, \"x\": -72}", "seed": "13865150932338265363", "semantic_fingerprint": "sha256:b7d353b80c2e87a03afb3f867c688ecae80d3a7077ad05c79e443e282f4da606", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004596", "prompt": "What value of x satisfies -29x + 7014 = 35(x + 5721)?", "solution_steps": ["Expand: -29x + 7014 = 35x + 200235", "Subtract 35x from both sides: -64x + 7014 = 200235", "Subtract 7014 from both sides: -64x = 193221", "Divide both sides by -64: x = -193221/64"], "final_answer": "-193221/64", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29x + 7014 = 35(x + 5721)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 7014, \"c\": 35, \"d\": 5721}", "seed": "17266003132432379737", "semantic_fingerprint": "sha256:ab18d8b08ba9b3d10c6f6b2ee6fac509f0500c869fbc562a636a948390af1d7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004597", "prompt": "What value of x satisfies 36(x - 2874) + 91332 = 23(x - 4683) + 97995?", "solution_steps": ["Expand: 36x - 103464 + 91332 = 23(x - 4683) + 97995", "Expand: 36x - 103464 + 91332 = 23x - 107709 + 97995", "Combine constants: 36x - 12132 = 23x - 107709 + 97995", "Combine constants: 36x - 12132 = 23x - 9714", "Subtract 23x from both sides: 13x - 12132 = -9714", "Add 12132 to both sides: 13x = 2418", "Divide both sides by 13: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x - 2874) + 91332 = 23(x - 4683) + 97995", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 2874, \"c\": 91332, \"d\": 23, \"e\": 4683, \"g\": 97995, \"x\": 186}", "seed": "2637400965313344787", "semantic_fingerprint": "sha256:46e6438882573ec0a5b0e3f665623d008d9434896b1c5e92ececa280ec86a027", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004598", "prompt": "Calculate: 2459 - 8871 / 2176", "solution_steps": ["Divide: 8871 / 2176 = 8871/2176", "Subtract: 2459 - 8871/2176 = 5341913/2176"], "final_answer": "5341913/2176", "answer_type": "rational", "kind": "expression", "math_text": "2459 - 8871 / 2176", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2459, \"b\": 8871, \"c\": 2176}", "seed": "17151692165377618661", "semantic_fingerprint": "sha256:549db21eef77b9d0c4e340e78385e747a0222f2c946fea36c1c26c18a384cf67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004599", "prompt": "What value of x satisfies -23(x + 2647) = 22(x - 1166) - 40584?", "solution_steps": ["Expand: -23x - 60881 = 22(x - 1166) - 40584", "Expand: -23x - 60881 = 22x - 25652 - 40584", "Combine constants: -23x - 60881 = 22x - 66236", "Subtract 22x from both sides: -45x - 60881 = -66236", "Add 60881 to both sides: -45x = -5355", "Divide both sides by -45: x = 119"], "final_answer": "119", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23(x + 2647) = 22(x - 1166) - 40584", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 2647, \"c\": 22, \"d\": 1166, \"f\": -40584, \"x\": 119}", "seed": "7936063430888196124", "semantic_fingerprint": "sha256:b0fd3d97d3d42257585fee713e927e61adc5ec7b2ed0b9e8f88f136651434a55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004600", "prompt": "Compute: (9963 + (-4527)) / (-4535) * (-5911)", "solution_steps": ["Add: 9963 + (-4527) = 5436", "Divide: 5436 / (-4535) = -5436/4535", "Multiply: (-5436/4535) * (-5911) = 32132196/4535"], "final_answer": "32132196/4535", "answer_type": "rational", "kind": "expression", "math_text": "(9963 + (-4527)) / (-4535) * (-5911)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9963, \"b\": -4527, \"c\": -4535, \"d\": -5911}", "seed": "9681371759589809085", "semantic_fingerprint": "sha256:7a72e31dc631bc4e56ed3a0b295cb1400d30bfb8d27601976db06a625403a88a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004601", "prompt": "Evaluate: -1611 * 12536", "solution_steps": ["Multiply: -1611 * 12536 = -20195496"], "final_answer": "-20195496", "answer_type": "integer", "kind": "expression", "math_text": "-1611 * 12536", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1611, \"b\": 12536}", "seed": "833241157993925142", "semantic_fingerprint": "sha256:8c5db78d8f43b91ad65be4eb1e4667a8bd5f03136584b594799a6be149e8cf28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004602", "prompt": "Solve the equation -13(x + 9942) = 24x + 4969 for x.", "solution_steps": ["Expand: -13x - 129246 = 24x + 4969", "Subtract 24x from both sides: -37x - 129246 = 4969", "Add 129246 to both sides: -37x = 134215", "Divide both sides by -37: x = -134215/37"], "final_answer": "-134215/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 9942) = 24x + 4969", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 9942, \"c\": 24, \"d\": 4969}", "seed": "12172780101878569230", "semantic_fingerprint": "sha256:ed72031a794173b21643a9eb7d995e5ccb0d669a9aaaedf398f45535a46da0db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004603", "prompt": "What is 6662 * ((-29938 - (-9030)) / (-1229))?", "solution_steps": ["Subtract: -29938 - (-9030) = -20908", "Divide: -20908 / (-1229) = 20908/1229", "Multiply: 6662 * (20908/1229) = 139289096/1229"], "final_answer": "139289096/1229", "answer_type": "rational", "kind": "expression", "math_text": "6662 * ((-29938 - (-9030)) / (-1229))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6662, \"b\": -29938, \"c\": -9030, \"d\": -1229}", "seed": "15827458707740695802", "semantic_fingerprint": "sha256:f0e2389ed8b033b129012814bd1a94542f44ae694e494dfa669e1d5e824b6e6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004604", "prompt": "What is -3969 - (-5827) + (-5646) * (-87268)?", "solution_steps": ["Subtract: -3969 - (-5827) = 1858", "Multiply: -5646 * (-87268) = 492715128", "Add: 1858 + 492715128 = 492716986"], "final_answer": "492716986", "answer_type": "integer", "kind": "expression", "math_text": "-3969 - (-5827) + (-5646) * (-87268)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3969, \"b\": -5827, \"c\": -5646, \"d\": -87268}", "seed": "4278296073315688475", "semantic_fingerprint": "sha256:125b52ed234a89a312bb114fa5897ccb832211f0190f1f75f3a82a49f648661e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004605", "prompt": "Evaluate: -97027 - 7148 - (-2296)", "solution_steps": ["Subtract: -97027 - 7148 = -104175", "Subtract: -104175 - (-2296) = -101879"], "final_answer": "-101879", "answer_type": "integer", "kind": "expression", "math_text": "-97027 - 7148 - (-2296)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97027, \"b\": 7148, \"c\": -2296}", "seed": "1445497641544665447", "semantic_fingerprint": "sha256:b1ce7a21a8137a02e5d24a541506a457bc98027bc485a5ce481210fa28ba418f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004606", "prompt": "What is -59612 - 99670 + 84867 / (99823 + 9476) - 3884?", "solution_steps": ["Subtract: -59612 - 99670 = -159282", "Add: 99823 + 9476 = 109299", "Divide: 84867 / 109299 = 28289/36433", "Add: -159282 + 28289/36433 = -5803092817/36433", "Subtract: -5803092817/36433 - 3884 = -5944598589/36433"], "final_answer": "-5944598589/36433", "answer_type": "rational", "kind": "expression", "math_text": "-59612 - 99670 + 84867 / (99823 + 9476) - 3884", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (/ n (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -59612, \"b\": 99670, \"c\": 84867, \"d\": 99823, \"e\": 9476, \"f\": 3884}", "seed": "5588727828731711710", "semantic_fingerprint": "sha256:9f4c6f02252de8d9da16908bac616d3e4200b25f3e7ec342413dc4babb0c0f67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004607", "prompt": "Compute: (8733 + (-85485)) / 1986", "solution_steps": ["Add: 8733 + (-85485) = -76752", "Divide: -76752 / 1986 = -12792/331"], "final_answer": "-12792/331", "answer_type": "rational", "kind": "expression", "math_text": "(8733 + (-85485)) / 1986", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8733, \"b\": -85485, \"c\": 1986}", "seed": "11963960125689824469", "semantic_fingerprint": "sha256:f222f751c1d274b4e0526f72e28c326eddb217777e6511cd7fd8dfe91a581fbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004608", "prompt": "Evaluate: (2262 - 9118) / 2713", "solution_steps": ["Subtract: 2262 - 9118 = -6856", "Divide: -6856 / 2713 = -6856/2713"], "final_answer": "-6856/2713", "answer_type": "rational", "kind": "expression", "math_text": "(2262 - 9118) / 2713", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2262, \"b\": 9118, \"c\": 2713}", "seed": "6553322895521797014", "semantic_fingerprint": "sha256:d7b24768d406ef187deb9289e3162d66034e87ca5fabce069536c8408823ded1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004609", "prompt": "What value of x satisfies 17x = x - 7964?", "solution_steps": ["Subtract x from both sides: 16x = -7964", "Divide both sides by 16: x = -1991/4"], "final_answer": "-1991/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x = x - 7964", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7964}", "seed": "4757598508602252228", "semantic_fingerprint": "sha256:f75091e996057f4073e4f3724f188da6d82fc9215e83d2966589eef586da06e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004610", "prompt": "Calculate: (-54842 - (-28742)) * (-2037 + (-6670)) - 8253", "solution_steps": ["Subtract: -54842 - (-28742) = -26100", "Add: -2037 + (-6670) = -8707", "Multiply: -26100 * (-8707) = 227252700", "Subtract: 227252700 - 8253 = 227244447"], "final_answer": "227244447", "answer_type": "integer", "kind": "expression", "math_text": "(-54842 - (-28742)) * (-2037 + (-6670)) - 8253", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -54842, \"b\": -28742, \"c\": -2037, \"d\": -6670, \"e\": 8253}", "seed": "13477008402663997561", "semantic_fingerprint": "sha256:c35bb12159c8727c5c4d694a5185a38dea275c49916d47a7f6a82670a1d3b73a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004611", "prompt": "What value of x satisfies x = 27x - 3510?", "solution_steps": ["Subtract 27x from both sides: -26x = -3510", "Divide both sides by -26: x = 135"], "final_answer": "135", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 27x - 3510", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -3510, \"x\": 135}", "seed": "6172695861198218871", "semantic_fingerprint": "sha256:31ca72846d660469d9731b73ae21863104186924d1388df5a26d6816d3b011cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004612", "prompt": "What is 51274 + (-78411) - (-2954) / (-6307 / (-56581))?", "solution_steps": ["Add: 51274 + (-78411) = -27137", "Divide: -6307 / (-56581) = 901/8083", "Divide: -2954 / (901/8083) = -23877182/901", "Subtract: -27137 - (-23877182/901) = -573255/901"], "final_answer": "-573255/901", "answer_type": "rational", "kind": "expression", "math_text": "51274 + (-78411) - (-2954) / (-6307 / (-56581))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51274, \"b\": -78411, \"c\": -2954, \"d\": -6307, \"e\": -56581}", "seed": "4803922172430286427", "semantic_fingerprint": "sha256:3434ecd5391413cd4c9c2ef1027567068a3a05d18bbb589052c77686201814aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004613", "prompt": "Solve the equation x + 1735 = 38x + 48113 for x.", "solution_steps": ["Subtract 38x from both sides: -37x + 1735 = 48113", "Subtract 1735 from both sides: -37x = 46378", "Divide both sides by -37: x = -46378/37"], "final_answer": "-46378/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1735 = 38x + 48113", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1735, \"b\": 38, \"c\": 48113}", "seed": "12813009002613879671", "semantic_fingerprint": "sha256:2d252194fd8577baa2804a5b5fd3780b5b90720bcc8265e3758429b8a7e80e6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004614", "prompt": "What is -78764 - (-8302 + 5343)?", "solution_steps": ["Add: -8302 + 5343 = -2959", "Subtract: -78764 - (-2959) = -75805"], "final_answer": "-75805", "answer_type": "integer", "kind": "expression", "math_text": "-78764 - (-8302 + 5343)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -78764, \"b\": -8302, \"c\": 5343}", "seed": "7120665943379737803", "semantic_fingerprint": "sha256:f4ccb82b3eddddd2730680f4f45b8c7e675176052b8c12e55296c761fc900303", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004615", "prompt": "Evaluate: 36085 / (7891 / 45328)", "solution_steps": ["Divide: 7891 / 45328 = 7891/45328", "Divide: 36085 / (7891/45328) = 1635660880/7891"], "final_answer": "1635660880/7891", "answer_type": "rational", "kind": "expression", "math_text": "36085 / (7891 / 45328)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36085, \"b\": 7891, \"c\": 45328}", "seed": "15698985655100313197", "semantic_fingerprint": "sha256:41a5768a019572428c00bf87be243b1f894c5f55807730d6e325cbfc1f246976", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004616", "prompt": "Evaluate: -93358 + (-2486) / (-89113) * 6214", "solution_steps": ["Divide: -2486 / (-89113) = 2486/89113", "Multiply: (2486/89113) * 6214 = 15448004/89113", "Add: -93358 + 15448004/89113 = -8303963450/89113"], "final_answer": "-8303963450/89113", "answer_type": "rational", "kind": "expression", "math_text": "-93358 + (-2486) / (-89113) * 6214", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -93358, \"b\": -2486, \"c\": -89113, \"d\": 6214}", "seed": "13909999252091653254", "semantic_fingerprint": "sha256:3903c83eec6f6fc44ea31125de82d2dc651623e0a9a461caf423c9cc54b10a5d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004617", "prompt": "What is -6790 + (-8291 - (-4028))?", "solution_steps": ["Subtract: -8291 - (-4028) = -4263", "Add: -6790 + (-4263) = -11053"], "final_answer": "-11053", "answer_type": "integer", "kind": "expression", "math_text": "-6790 + (-8291 - (-4028))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6790, \"b\": -8291, \"c\": -4028}", "seed": "9817866587805275418", "semantic_fingerprint": "sha256:3fec30d999e85d2fe613c8a7c2cfc01055c734f5a32eed4b37a8fd45db6489b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004618", "prompt": "Evaluate: 98905 - (-2614 - (65857 / 42729 + 34430))", "solution_steps": ["Divide: 65857 / 42729 = 65857/42729", "Add: 65857/42729 + 34430 = 1471225327/42729", "Subtract: -2614 - 1471225327/42729 = -1582918933/42729", "Subtract: 98905 - (-1582918933/42729) = 5809030678/42729"], "final_answer": "5809030678/42729", "answer_type": "rational", "kind": "expression", "math_text": "98905 - (-2614 - (65857 / 42729 + 34430))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 98905, \"b\": -2614, \"c\": 65857, \"d\": 42729, \"e\": 34430}", "seed": "13504840794367976640", "semantic_fingerprint": "sha256:508935c6c7670be3106859535b58ea5c4d91b76a87fcc485a49e5d2b5a243e90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004619", "prompt": "Solve the equation 21(x - 6987) + 3227 = 23(x - 6051) - 8973 for x.", "solution_steps": ["Expand: 21x - 146727 + 3227 = 23(x - 6051) - 8973", "Expand: 21x - 146727 + 3227 = 23x - 139173 - 8973", "Combine constants: 21x - 143500 = 23x - 139173 - 8973", "Combine constants: 21x - 143500 = 23x - 148146", "Subtract 23x from both sides: -2x - 143500 = -148146", "Add 143500 to both sides: -2x = -4646", "Divide both sides by -2: x = 2323"], "final_answer": "2323", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 6987) + 3227 = 23(x - 6051) - 8973", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 6987, \"c\": 3227, \"d\": 23, \"e\": 6051, \"f\": 8973}", "seed": "13417882430525117312", "semantic_fingerprint": "sha256:65ef51dc97bab8d6ceb095a25a5b980d5c373e64ffb7cdc433d47da92d948b4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004620", "prompt": "What is 80025 / 49531?", "solution_steps": ["Divide: 80025 / 49531 = 80025/49531"], "final_answer": "80025/49531", "answer_type": "rational", "kind": "expression", "math_text": "80025 / 49531", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80025, \"b\": 49531}", "seed": "7065159376386431491", "semantic_fingerprint": "sha256:3b8f1c1c3cac4a57888cef3067fe0deae31ae3097e1f5b2b0c9fe68eb1e2cf4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004621", "prompt": "What is (72598 - (-2458)) * (-97652)?", "solution_steps": ["Subtract: 72598 - (-2458) = 75056", "Multiply: 75056 * (-97652) = -7329368512"], "final_answer": "-7329368512", "answer_type": "integer", "kind": "expression", "math_text": "(72598 - (-2458)) * (-97652)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72598, \"b\": -2458, \"c\": -97652}", "seed": "1248469756276153644", "semantic_fingerprint": "sha256:d1485f8495e6abc2aec9f3739a6aa41d6b4272979af69d377b336f48c11f13a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004622", "prompt": "What is 2842 - (-9805 + (-52512))?", "solution_steps": ["Add: -9805 + (-52512) = -62317", "Subtract: 2842 - (-62317) = 65159"], "final_answer": "65159", "answer_type": "integer", "kind": "expression", "math_text": "2842 - (-9805 + (-52512))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2842, \"b\": -9805, \"c\": -52512}", "seed": "14814182040065656178", "semantic_fingerprint": "sha256:82803b34f0356039ed1592df2fecf31bd9a7295504fdf24136f631c2a8e52c3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004623", "prompt": "What is -2255 + (-21704)?", "solution_steps": ["Add: -2255 + (-21704) = -23959"], "final_answer": "-23959", "answer_type": "integer", "kind": "expression", "math_text": "-2255 + (-21704)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2255, \"b\": -21704}", "seed": "10791262933291775894", "semantic_fingerprint": "sha256:0c9a77e65f8c6e5b0bbaa695ebaf6d49ea07c3c138a7e1f16485524abc53a4b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004624", "prompt": "Evaluate: 54379 * (-9451)", "solution_steps": ["Multiply: 54379 * (-9451) = -513935929"], "final_answer": "-513935929", "answer_type": "integer", "kind": "expression", "math_text": "54379 * (-9451)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 54379, \"b\": -9451}", "seed": "4677456485892026261", "semantic_fingerprint": "sha256:4f0b94e6c84f3001697a932708f22c6a7016ee0f41419e1110fb12971fbdfffd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004625", "prompt": "Solve for x: x + 4007 = -26(x - 3130)", "solution_steps": ["Expand: x + 4007 = -26x + 81380", "Add 26x to both sides: 27x + 4007 = 81380", "Subtract 4007 from both sides: 27x = 77373", "Divide both sides by 27: x = 8597/3"], "final_answer": "8597/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4007 = -26(x - 3130)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4007, \"b\": -26, \"c\": 3130}", "seed": "8718981291001132319", "semantic_fingerprint": "sha256:10aab70d6f101ce8d928264bfb97aec37d46c5c460ba272dd286b9e9df1f543a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004626", "prompt": "What is (3968 + (-7063 - (-6131))) / 2945?", "solution_steps": ["Subtract: -7063 - (-6131) = -932", "Add: 3968 + (-932) = 3036", "Divide: 3036 / 2945 = 3036/2945"], "final_answer": "3036/2945", "answer_type": "rational", "kind": "expression", "math_text": "(3968 + (-7063 - (-6131))) / 2945", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3968, \"b\": -7063, \"c\": -6131, \"d\": 2945}", "seed": "10498938669023747418", "semantic_fingerprint": "sha256:302c6bbcf0f0f0a4129e583143d1e4c61b5f09b686b82864fd5bae31534e4a87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004627", "prompt": "Solve for x: 40(x + 78704) = 29(x - 9491) - 8295", "solution_steps": ["Expand: 40x + 3148160 = 29(x - 9491) - 8295", "Expand: 40x + 3148160 = 29x - 275239 - 8295", "Combine constants: 40x + 3148160 = 29x - 283534", "Subtract 29x from both sides: 11x + 3148160 = -283534", "Subtract 3148160 from both sides: 11x = -3431694", "Divide both sides by 11: x = -3431694/11"], "final_answer": "-3431694/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 78704) = 29(x - 9491) - 8295", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 78704, \"c\": 29, \"d\": 9491, \"e\": 8295}", "seed": "15253983643922263384", "semantic_fingerprint": "sha256:0663628aede0bfad37a36a7790f601e7780ad69be4283596db6968d2c04b7239", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004628", "prompt": "Evaluate: -1200 - (-1901 - (-1647))", "solution_steps": ["Subtract: -1901 - (-1647) = -254", "Subtract: -1200 - (-254) = -946"], "final_answer": "-946", "answer_type": "integer", "kind": "expression", "math_text": "-1200 - (-1901 - (-1647))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1200, \"b\": -1901, \"c\": -1647}", "seed": "8129695302218432074", "semantic_fingerprint": "sha256:7bd32cab9f6361a6ebef79dfac3b4d985a75592fb7554129d8208fdabbe9f62e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004629", "prompt": "Find x: 15(x + 76508) = -20(x - 4438)", "solution_steps": ["Expand: 15x + 1147620 = -20(x - 4438)", "Expand: 15x + 1147620 = -20x + 88760", "Add 20x to both sides: 35x + 1147620 = 88760", "Subtract 1147620 from both sides: 35x = -1058860", "Divide both sides by 35: x = -211772/7"], "final_answer": "-211772/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 76508) = -20(x - 4438)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 76508, \"c\": -20, \"d\": 4438}", "seed": "10366252273661806017", "semantic_fingerprint": "sha256:9bf92217a1f161fee8f823ee0ff7148a7d13fca10c04a6ff5fb0b116a2a66eaa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004630", "prompt": "Evaluate: -7988 - (-4011) / (-7867) * 9731", "solution_steps": ["Divide: -4011 / (-7867) = 4011/7867", "Multiply: (4011/7867) * 9731 = 39031041/7867", "Subtract: -7988 - 39031041/7867 = -101872637/7867"], "final_answer": "-101872637/7867", "answer_type": "rational", "kind": "expression", "math_text": "-7988 - (-4011) / (-7867) * 9731", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7988, \"b\": -4011, \"c\": -7867, \"d\": 9731}", "seed": "5548179858629591629", "semantic_fingerprint": "sha256:f5c94135a723f3f8d5e936e2ab3e19d2391d7355ecc848904a86df0e74d13e80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004631", "prompt": "Compute: (9638 + (-9349)) * (3227 + (-2985))", "solution_steps": ["Add: 9638 + (-9349) = 289", "Add: 3227 + (-2985) = 242", "Multiply: 289 * 242 = 69938"], "final_answer": "69938", "answer_type": "integer", "kind": "expression", "math_text": "(9638 + (-9349)) * (3227 + (-2985))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9638, \"b\": -9349, \"c\": 3227, \"d\": -2985}", "seed": "8079749883930289405", "semantic_fingerprint": "sha256:6ae1294ab93987f9a533136a2b4b760bff6a65fce37ac9387007f1381e3f83b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004632", "prompt": "Compute: -9902 - 1226 - 9946 + 28519 / 4168", "solution_steps": ["Subtract: -9902 - 1226 = -11128", "Subtract: -11128 - 9946 = -21074", "Divide: 28519 / 4168 = 28519/4168", "Add: -21074 + 28519/4168 = -87807913/4168"], "final_answer": "-87807913/4168", "answer_type": "rational", "kind": "expression", "math_text": "-9902 - 1226 - 9946 + 28519 / 4168", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9902, \"b\": 1226, \"c\": 9946, \"d\": 28519, \"e\": 4168}", "seed": "15087115718547361679", "semantic_fingerprint": "sha256:491b46dcd6f1540bb1bbfe4a383fd2a3e306ba5e4da247f215b5f04fb8512efe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004633", "prompt": "Find x: x + 3608 = -21x", "solution_steps": ["Add 21x to both sides: 22x + 3608 = 0", "Subtract 3608 from both sides: 22x = -3608", "Divide both sides by 22: x = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3608 = -21x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": 3608, \"x\": -164}", "seed": "17776884795137668011", "semantic_fingerprint": "sha256:85935e8aab14ae6963f1aed283983a6e32d56bdb336db7cd3aad03a5d500bd86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004634", "prompt": "What value of x satisfies x - 6639 = -17x - 3903?", "solution_steps": ["Add 17x to both sides: 18x - 6639 = -3903", "Add 6639 to both sides: 18x = 2736", "Divide both sides by 18: x = 152"], "final_answer": "152", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6639 = -17x - 3903", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6639, \"b\": -17, \"d\": -3903, \"x\": 152}", "seed": "7739601640925666378", "semantic_fingerprint": "sha256:d3ac4812b3823a8c034e0770298508cd4709cd11c97de5238e7e30c2c5918569", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004635", "prompt": "Solve the equation x + 33487 = -34(x + 1029) + 61928 for x.", "solution_steps": ["Expand: x + 33487 = -34x - 34986 + 61928", "Combine constants: x + 33487 = -34x + 26942", "Add 34x to both sides: 35x + 33487 = 26942", "Subtract 33487 from both sides: 35x = -6545", "Divide both sides by 35: x = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33487 = -34(x + 1029) + 61928", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33487, \"b\": -34, \"c\": 1029, \"e\": 61928, \"x\": -187}", "seed": "7776705581022060499", "semantic_fingerprint": "sha256:589fe949ed2ec7ed43d07dd3cffae3c7e69c80ccf0a6a081b512795b2d5b3047", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004636", "prompt": "Solve the equation -24x + 7627 = x + 90808 for x.", "solution_steps": ["Subtract x from both sides: -25x + 7627 = 90808", "Subtract 7627 from both sides: -25x = 83181", "Divide both sides by -25: x = -83181/25"], "final_answer": "-83181/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x + 7627 = x + 90808", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 7627, \"c\": 90808}", "seed": "4439742004095860973", "semantic_fingerprint": "sha256:c35db1eac47308e94f29839748f8d61b51011e473bb4604fc5e9b897125e222d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004637", "prompt": "Calculate: 6923 * 29002 / 2112", "solution_steps": ["Multiply: 6923 * 29002 = 200780846", "Divide: 200780846 / 2112 = 100390423/1056"], "final_answer": "100390423/1056", "answer_type": "rational", "kind": "expression", "math_text": "6923 * 29002 / 2112", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6923, \"b\": 29002, \"c\": 2112}", "seed": "16506393719381005041", "semantic_fingerprint": "sha256:3196f6a236bb8975c1f0c524e7fdb739cfe5cafcdf04ca9162f1c8c632606fd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004638", "prompt": "What is 31474 - 30331?", "solution_steps": ["Subtract: 31474 - 30331 = 1143"], "final_answer": "1143", "answer_type": "integer", "kind": "expression", "math_text": "31474 - 30331", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 31474, \"b\": 30331}", "seed": "8904047715378141778", "semantic_fingerprint": "sha256:445d53001f1d77149bb3d4543f3be9e34db8b07a09aed08ca65a14cda7514e16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004639", "prompt": "What is -7920 - 89187 + 45270?", "solution_steps": ["Subtract: -7920 - 89187 = -97107", "Add: -97107 + 45270 = -51837"], "final_answer": "-51837", "answer_type": "integer", "kind": "expression", "math_text": "-7920 - 89187 + 45270", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7920, \"b\": 89187, \"c\": 45270}", "seed": "16983401353145800427", "semantic_fingerprint": "sha256:6930a64ac5162a20e4513edf075ee5cce62b136be86b2a1962713bb0abec803c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004640", "prompt": "Find x: x = 22(x + 4615) - 98947", "solution_steps": ["Expand: x = 22x + 101530 - 98947", "Combine constants: x = 22x + 2583", "Subtract 22x from both sides: -21x = 2583", "Divide both sides by -21: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 22(x + 4615) - 98947", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 4615, \"d\": -98947, \"x\": -123}", "seed": "4782592260794140134", "semantic_fingerprint": "sha256:3c812f5f32cf284e5127bad84c619dada558ec082bb03e06f89e4712a3a72695", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004641", "prompt": "What is -1919 * (-89141 + 1870 / 5936)?", "solution_steps": ["Divide: 1870 / 5936 = 935/2968", "Add: -89141 + 935/2968 = -264569553/2968", "Multiply: -1919 * (-264569553/2968) = 507708972207/2968"], "final_answer": "507708972207/2968", "answer_type": "rational", "kind": "expression", "math_text": "-1919 * (-89141 + 1870 / 5936)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1919, \"b\": -89141, \"c\": 1870, \"d\": 5936}", "seed": "792758258174680516", "semantic_fingerprint": "sha256:f18ca58863166136eeaf8c261a23a4bb8c9e8b1fa85ea5e966dfe1eca29fcdb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004642", "prompt": "Calculate: 6379 / (-62714) * (-32220)", "solution_steps": ["Divide: 6379 / (-62714) = -6379/62714", "Multiply: (-6379/62714) * (-32220) = 102765690/31357"], "final_answer": "102765690/31357", "answer_type": "rational", "kind": "expression", "math_text": "6379 / (-62714) * (-32220)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6379, \"b\": -62714, \"c\": -32220}", "seed": "1149204401218535401", "semantic_fingerprint": "sha256:8b81ad1ac782fd9eadc93bf6dff1d5120d362b974caebb1552c2149d894759a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004643", "prompt": "Calculate: (4307 + 6688) * 9990", "solution_steps": ["Add: 4307 + 6688 = 10995", "Multiply: 10995 * 9990 = 109840050"], "final_answer": "109840050", "answer_type": "integer", "kind": "expression", "math_text": "(4307 + 6688) * 9990", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4307, \"b\": 6688, \"c\": 9990}", "seed": "524714620620785511", "semantic_fingerprint": "sha256:80ecae7a688cf8f9001ad79c3b55198543ba9aeb1a85ceb83fc4495aebf46ce2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004644", "prompt": "Solve the equation 35(x + 19518) + 86888 = x for x.", "solution_steps": ["Expand: 35x + 683130 + 86888 = x", "Combine constants: 35x + 770018 = x", "Subtract x from both sides: 34x + 770018 = 0", "Subtract 770018 from both sides: 34x = -770018", "Divide both sides by 34: x = -385009/17"], "final_answer": "-385009/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 19518) + 86888 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 19518, \"c\": 86888}", "seed": "7436970514793811174", "semantic_fingerprint": "sha256:9c27e0d24574bee1e00efa6576c3a5506943078a5f0327796e803b0d477bf3ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004645", "prompt": "Evaluate: -3031 / (-6629 - 4165)", "solution_steps": ["Subtract: -6629 - 4165 = -10794", "Divide: -3031 / (-10794) = 433/1542"], "final_answer": "433/1542", "answer_type": "rational", "kind": "expression", "math_text": "-3031 / (-6629 - 4165)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3031, \"b\": -6629, \"c\": 4165}", "seed": "3050681477166695485", "semantic_fingerprint": "sha256:af8db04d15985ad73256341c9eb022a549c971e64a560913243777fc9d13aa9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004646", "prompt": "Compute: 21788 - 9225 + (-84322 - (2262 - 77890))", "solution_steps": ["Subtract: 21788 - 9225 = 12563", "Subtract: 2262 - 77890 = -75628", "Subtract: -84322 - (-75628) = -8694", "Add: 12563 + (-8694) = 3869"], "final_answer": "3869", "answer_type": "integer", "kind": "expression", "math_text": "21788 - 9225 + (-84322 - (2262 - 77890))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21788, \"b\": 9225, \"c\": -84322, \"d\": 2262, \"e\": 77890}", "seed": "15782089936619480491", "semantic_fingerprint": "sha256:a74f8b4825a84ea1235e403d2b7fcdf4b90a9861f1151b031f392836ded52a0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004647", "prompt": "Compute: -1270 + (86384 + (-2233)) + 67670", "solution_steps": ["Add: 86384 + (-2233) = 84151", "Add: -1270 + 84151 = 82881", "Add: 82881 + 67670 = 150551"], "final_answer": "150551", "answer_type": "integer", "kind": "expression", "math_text": "-1270 + (86384 + (-2233)) + 67670", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1270, \"b\": 86384, \"c\": -2233, \"d\": 67670}", "seed": "3794206305969361437", "semantic_fingerprint": "sha256:fb35d1bd8e5eb698ebec8fc61fcf38ce27f828e546797d1ebe3dfc4ab8c87a95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004648", "prompt": "Find x: -33(x - 2170) - 10228 = x", "solution_steps": ["Expand: -33x + 71610 - 10228 = x", "Combine constants: -33x + 61382 = x", "Subtract x from both sides: -34x + 61382 = 0", "Subtract 61382 from both sides: -34x = -61382", "Divide both sides by -34: x = 30691/17"], "final_answer": "30691/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 2170) - 10228 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 2170, \"c\": 10228}", "seed": "1673053933834850635", "semantic_fingerprint": "sha256:c77e1ca8200290e2f8ce4b89e852c35918cb2a984a6b6446144c1dc7b128923d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004649", "prompt": "Solve for x: 33x + 1156 = 27x + 2200", "solution_steps": ["Subtract 27x from both sides: 6x + 1156 = 2200", "Subtract 1156 from both sides: 6x = 1044", "Divide both sides by 6: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x + 1156 = 27x + 2200", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1156, \"c\": 27, \"e\": 2200, \"x\": 174}", "seed": "15599482303119533211", "semantic_fingerprint": "sha256:7cf66633ca538aa6e014a4a07e4a1a63532ea7508a8279aaca3c62facb7c87fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004650", "prompt": "What value of x satisfies 21(x - 16873) = -17x?", "solution_steps": ["Expand: 21x - 354333 = -17x", "Add 17x to both sides: 38x - 354333 = 0", "Add 354333 to both sides: 38x = 354333", "Divide both sides by 38: x = 354333/38"], "final_answer": "354333/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 16873) = -17x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 16873, \"c\": -17}", "seed": "17285347400171277656", "semantic_fingerprint": "sha256:0a15322792f32d4e008b939aad6a2d28f811793739fac7322a36983210961059", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004651", "prompt": "Compute: -6379 + (-5149)", "solution_steps": ["Add: -6379 + (-5149) = -11528"], "final_answer": "-11528", "answer_type": "integer", "kind": "expression", "math_text": "-6379 + (-5149)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6379, \"b\": -5149}", "seed": "14816579399887151175", "semantic_fingerprint": "sha256:3092721fec570862ecba8882411878e6407e4caf8f082e87b41d7bc547717fbd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004652", "prompt": "Compute: -5240 / (-41067) - (-65709 - 96323)", "solution_steps": ["Divide: -5240 / (-41067) = 5240/41067", "Subtract: -65709 - 96323 = -162032", "Subtract: 5240/41067 - (-162032) = 6654173384/41067"], "final_answer": "6654173384/41067", "answer_type": "rational", "kind": "expression", "math_text": "-5240 / (-41067) - (-65709 - 96323)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5240, \"b\": -41067, \"c\": -65709, \"d\": 96323}", "seed": "8628416442339787491", "semantic_fingerprint": "sha256:a1c36fa7fda765102d7643fba5dcf91db759c8bfba56baf2f0fe86078130b4cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004653", "prompt": "Compute: 82973 / (-8783)", "solution_steps": ["Divide: 82973 / (-8783) = -82973/8783"], "final_answer": "-82973/8783", "answer_type": "rational", "kind": "expression", "math_text": "82973 / (-8783)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82973, \"b\": -8783}", "seed": "12589282357208849565", "semantic_fingerprint": "sha256:eb2d00a02f74e349e399eda009e1f2dfc7934000cbef9fa3c97ce07a89b9f716", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004654", "prompt": "Solve the equation x + 42421 = 42509 for x.", "solution_steps": ["Subtract 42421 from both sides: x = 88"], "final_answer": "88", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 42421 = 42509", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42421, \"c\": 42509, \"x\": 88}", "seed": "1679243525709370956", "semantic_fingerprint": "sha256:bf17179f40444683d16993279664cf6114a4e5ed39211dc3ec887bbece9b24fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004655", "prompt": "What value of x satisfies 20(x - 72111) + 9285 = -40(x - 22823) - 9630?", "solution_steps": ["Expand: 20x - 1442220 + 9285 = -40(x - 22823) - 9630", "Expand: 20x - 1442220 + 9285 = -40x + 912920 - 9630", "Combine constants: 20x - 1432935 = -40x + 912920 - 9630", "Combine constants: 20x - 1432935 = -40x + 903290", "Add 40x to both sides: 60x - 1432935 = 903290", "Add 1432935 to both sides: 60x = 2336225", "Divide both sides by 60: x = 467245/12"], "final_answer": "467245/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 72111) + 9285 = -40(x - 22823) - 9630", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 72111, \"c\": 9285, \"d\": -40, \"e\": 22823, \"f\": 9630}", "seed": "12274231178185374641", "semantic_fingerprint": "sha256:1b953c3de72e7daff888d36f36162744cb88cd1aa5443d6754c2821d96b0a1b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004656", "prompt": "Calculate: 7725 * (8841 / 84812)", "solution_steps": ["Divide: 8841 / 84812 = 1263/12116", "Multiply: 7725 * (1263/12116) = 9756675/12116"], "final_answer": "9756675/12116", "answer_type": "rational", "kind": "expression", "math_text": "7725 * (8841 / 84812)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7725, \"b\": 8841, \"c\": 84812}", "seed": "9877885937343704786", "semantic_fingerprint": "sha256:22ec1d6c1c184202dd4dcb0e074a031f2c1dbbb6224e7746a944c68cd7286a1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004657", "prompt": "Solve for x: 26(x + 2938) = 16x + 76638", "solution_steps": ["Expand: 26x + 76388 = 16x + 76638", "Subtract 16x from both sides: 10x + 76388 = 76638", "Subtract 76388 from both sides: 10x = 250", "Divide both sides by 10: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x + 2938) = 16x + 76638", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2938, \"c\": 16, \"e\": 76638, \"x\": 25}", "seed": "8922869428919568695", "semantic_fingerprint": "sha256:bbaa8d2b899eb10e8faca894a71d315cf476fe7be3b94e5f130fea929552a0de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004658", "prompt": "Calculate: 60451 * (-30244 - 91329)", "solution_steps": ["Subtract: -30244 - 91329 = -121573", "Multiply: 60451 * (-121573) = -7349209423"], "final_answer": "-7349209423", "answer_type": "integer", "kind": "expression", "math_text": "60451 * (-30244 - 91329)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60451, \"b\": -30244, \"c\": 91329}", "seed": "16410881518911782809", "semantic_fingerprint": "sha256:b7edb75f10a6686dc5fcda61e8bc50e533297b0cce40e0e3865e144c86eb0912", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004659", "prompt": "What value of x satisfies -28(x - 2377) + 62141 = -15(x - 3530) + 74642?", "solution_steps": ["Expand: -28x + 66556 + 62141 = -15(x - 3530) + 74642", "Expand: -28x + 66556 + 62141 = -15x + 52950 + 74642", "Combine constants: -28x + 128697 = -15x + 52950 + 74642", "Combine constants: -28x + 128697 = -15x + 127592", "Add 15x to both sides: -13x + 128697 = 127592", "Subtract 128697 from both sides: -13x = -1105", "Divide both sides by -13: x = 85"], "final_answer": "85", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28(x - 2377) + 62141 = -15(x - 3530) + 74642", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 2377, \"c\": 62141, \"d\": -15, \"e\": 3530, \"g\": 74642, \"x\": 85}", "seed": "17589596738013769863", "semantic_fingerprint": "sha256:c1f0045c843457a55f5006b23ef88ba87cf09ce0e5d12114d8b5821612355687", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004660", "prompt": "Solve for x: 27x - 12891 = -10326", "solution_steps": ["Add 12891 to both sides: 27x = 2565", "Divide both sides by 27: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 12891 = -10326", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 12891, \"d\": -10326, \"x\": 95}", "seed": "8557325120483827628", "semantic_fingerprint": "sha256:83b8d8af79569c9b0c49e4d69f11715da1c03b8173911e7233fa02383f5c1826", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004661", "prompt": "What is -9840 * (6523 - (-1044) / 6666)?", "solution_steps": ["Divide: -1044 / 6666 = -174/1111", "Subtract: 6523 - (-174/1111) = 7247227/1111", "Multiply: -9840 * (7247227/1111) = -71312713680/1111"], "final_answer": "-71312713680/1111", "answer_type": "rational", "kind": "expression", "math_text": "-9840 * (6523 - (-1044) / 6666)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9840, \"b\": 6523, \"c\": -1044, \"d\": 6666}", "seed": "27372225693409214", "semantic_fingerprint": "sha256:b2a4f97c7f3fd95a777a723ccaa1c28d5c7b3f6499b9f30d2ce09acf89e4acbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004662", "prompt": "Evaluate: 44855 - 2234 - (-1292)", "solution_steps": ["Subtract: 44855 - 2234 = 42621", "Subtract: 42621 - (-1292) = 43913"], "final_answer": "43913", "answer_type": "integer", "kind": "expression", "math_text": "44855 - 2234 - (-1292)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44855, \"b\": 2234, \"c\": -1292}", "seed": "2163744264207436158", "semantic_fingerprint": "sha256:0bcddcc2a6cedde4c6507dc04ed0fd4877c423e8eeb8f67bf249ad64c3aea548", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004663", "prompt": "Calculate: -6622 / 62183", "solution_steps": ["Divide: -6622 / 62183 = -602/5653"], "final_answer": "-602/5653", "answer_type": "rational", "kind": "expression", "math_text": "-6622 / 62183", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6622, \"b\": 62183}", "seed": "11046220135396898907", "semantic_fingerprint": "sha256:d7496156253613e9713e73b225f1cf90b46fbb34ccdba3569440566332e86803", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004664", "prompt": "Solve the equation x + 8368 = 19(x + 1434) + 8131 for x.", "solution_steps": ["Expand: x + 8368 = 19x + 27246 + 8131", "Combine constants: x + 8368 = 19x + 35377", "Subtract 19x from both sides: -18x + 8368 = 35377", "Subtract 8368 from both sides: -18x = 27009", "Divide both sides by -18: x = -3001/2"], "final_answer": "-3001/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8368 = 19(x + 1434) + 8131", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8368, \"b\": 19, \"c\": 1434, \"d\": 8131}", "seed": "11023993225618171728", "semantic_fingerprint": "sha256:c55a9856149b4b7a03a119c76af4438191db4ed605d9cc7048811af7e91d60b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004665", "prompt": "Calculate: 1273 - (-3729) * (-98439 - (-7694))", "solution_steps": ["Subtract: -98439 - (-7694) = -90745", "Multiply: -3729 * (-90745) = 338388105", "Subtract: 1273 - 338388105 = -338386832"], "final_answer": "-338386832", "answer_type": "integer", "kind": "expression", "math_text": "1273 - (-3729) * (-98439 - (-7694))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1273, \"b\": -3729, \"c\": -98439, \"d\": -7694}", "seed": "1359833893079133593", "semantic_fingerprint": "sha256:bf6e075d15bcea6def96635126d6309ce61e1e0780a6b439ff2c042dcb0e423b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004666", "prompt": "Solve the equation 17x - 6014 = 36(x - 5895) + 38682 for x.", "solution_steps": ["Expand: 17x - 6014 = 36x - 212220 + 38682", "Combine constants: 17x - 6014 = 36x - 173538", "Subtract 36x from both sides: -19x - 6014 = -173538", "Add 6014 to both sides: -19x = -167524", "Divide both sides by -19: x = 167524/19"], "final_answer": "167524/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x - 6014 = 36(x - 5895) + 38682", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 6014, \"c\": 36, \"d\": 5895, \"e\": 38682}", "seed": "6323477483875310618", "semantic_fingerprint": "sha256:cc08433604f9c94cd72d2e295e99b0e8a8a85a9194a7f73d0a00be808ef309e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004667", "prompt": "Find x: x = -34x + 2625", "solution_steps": ["Add 34x to both sides: 35x = 2625", "Divide both sides by 35: x = 75"], "final_answer": "75", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -34x + 2625", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34, \"c\": 2625, \"x\": 75}", "seed": "5499304727792202373", "semantic_fingerprint": "sha256:1334f6aae27d43df2db7ef8bc7e845c5736f7bdacfb10b83d72993b7bac17876", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004668", "prompt": "Evaluate: -7790 / (38790 / (55180 - 8416))", "solution_steps": ["Subtract: 55180 - 8416 = 46764", "Divide: 38790 / 46764 = 2155/2598", "Divide: -7790 / (2155/2598) = -4047684/431"], "final_answer": "-4047684/431", "answer_type": "rational", "kind": "expression", "math_text": "-7790 / (38790 / (55180 - 8416))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7790, \"b\": 38790, \"c\": 55180, \"d\": 8416}", "seed": "12559738657590131671", "semantic_fingerprint": "sha256:25db17f583c7c6bd06aec7eb89daa104607d262efa39875f96ba4f370f24960e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004669", "prompt": "What is 16095 * (-29502)?", "solution_steps": ["Multiply: 16095 * (-29502) = -474834690"], "final_answer": "-474834690", "answer_type": "integer", "kind": "expression", "math_text": "16095 * (-29502)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16095, \"b\": -29502}", "seed": "8261305736436125923", "semantic_fingerprint": "sha256:0c0e9627800065863826341bdca6bd96d9ea465e8143420aec02696a9d5edceb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004670", "prompt": "Calculate: (-5968 + (5690 + 9781)) / 4723", "solution_steps": ["Add: 5690 + 9781 = 15471", "Add: -5968 + 15471 = 9503", "Divide: 9503 / 4723 = 9503/4723"], "final_answer": "9503/4723", "answer_type": "rational", "kind": "expression", "math_text": "(-5968 + (5690 + 9781)) / 4723", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5968, \"b\": 5690, \"c\": 9781, \"d\": 4723}", "seed": "5884366259441678256", "semantic_fingerprint": "sha256:29068e3ff62595e9b5a2deec41f2c9a163a3084ceab6c0459b4f1317320a136d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004671", "prompt": "Solve for x: x + 16510 = 16650", "solution_steps": ["Subtract 16510 from both sides: x = 140"], "final_answer": "140", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 16510 = 16650", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16510, \"c\": 16650, \"x\": 140}", "seed": "1852710295633167881", "semantic_fingerprint": "sha256:6772ac5c0835dabee9099028ce7f215b5a4a1a81a2fe1bf8ccff33b992964719", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004672", "prompt": "Compute: -2709 * (3210 * (-3308) / (-4007) / (-9202))", "solution_steps": ["Multiply: 3210 * (-3308) = -10618680", "Divide: -10618680 / (-4007) = 10618680/4007", "Divide: (10618680/4007) / (-9202) = -49620/172301", "Multiply: -2709 * (-49620/172301) = 3126060/4007"], "final_answer": "3126060/4007", "answer_type": "rational", "kind": "expression", "math_text": "-2709 * (3210 * (-3308) / (-4007) / (-9202))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (/ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2709, \"b\": 3210, \"c\": -3308, \"d\": -4007, \"e\": -9202}", "seed": "10067040223091391996", "semantic_fingerprint": "sha256:3510dffab0972313fa53e90a3fccc9414930954d48dbb3b973960eb1546f29f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004673", "prompt": "What value of x satisfies 33(x + 8899) - 4144 = -21(x + 1416) - 9816?", "solution_steps": ["Expand: 33x + 293667 - 4144 = -21(x + 1416) - 9816", "Expand: 33x + 293667 - 4144 = -21x - 29736 - 9816", "Combine constants: 33x + 289523 = -21x - 29736 - 9816", "Combine constants: 33x + 289523 = -21x - 39552", "Add 21x to both sides: 54x + 289523 = -39552", "Subtract 289523 from both sides: 54x = -329075", "Divide both sides by 54: x = -329075/54"], "final_answer": "-329075/54", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 8899) - 4144 = -21(x + 1416) - 9816", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 8899, \"c\": 4144, \"d\": -21, \"e\": 1416, \"f\": 9816}", "seed": "8595685929685717391", "semantic_fingerprint": "sha256:0ab626c45c4956e9ff6a4caa3306e1512ab405c556a160ae4f37637ba22ddf93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004674", "prompt": "Find x: x - 6688 = -6519", "solution_steps": ["Add 6688 to both sides: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6688 = -6519", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6688, \"c\": -6519, \"x\": 169}", "seed": "706194944349839502", "semantic_fingerprint": "sha256:7746125767b17844e47aabd3fd2e20bccccff3f65c40e501d27931bfe757801c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004675", "prompt": "What value of x satisfies 25x = x - 9182?", "solution_steps": ["Subtract x from both sides: 24x = -9182", "Divide both sides by 24: x = -4591/12"], "final_answer": "-4591/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x = x - 9182", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 9182}", "seed": "11783368718340350814", "semantic_fingerprint": "sha256:50046a10dff3ff5bb1ef466e6c383f790cce6f661421fed63bc99610b8c73258", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004676", "prompt": "Find x: x + 3176 = -33(x - 12328) - 6696", "solution_steps": ["Expand: x + 3176 = -33x + 406824 - 6696", "Combine constants: x + 3176 = -33x + 400128", "Add 33x to both sides: 34x + 3176 = 400128", "Subtract 3176 from both sides: 34x = 396952", "Divide both sides by 34: x = 198476/17"], "final_answer": "198476/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3176 = -33(x - 12328) - 6696", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3176, \"b\": -33, \"c\": 12328, \"d\": 6696}", "seed": "10528602798851961331", "semantic_fingerprint": "sha256:a96da5ef49739fdcdaa808f334060acea0c72793608882d608312ecbddb2835f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004677", "prompt": "Compute: -63478 + (-7354)", "solution_steps": ["Add: -63478 + (-7354) = -70832"], "final_answer": "-70832", "answer_type": "integer", "kind": "expression", "math_text": "-63478 + (-7354)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -63478, \"b\": -7354}", "seed": "2303647660611162540", "semantic_fingerprint": "sha256:256b5ec0984a0c4c0b918fcee174174fb223b60dde360e04b85442f5e31295e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004678", "prompt": "Solve for x: x - 2400 = -15x", "solution_steps": ["Add 15x to both sides: 16x - 2400 = 0", "Add 2400 to both sides: 16x = 2400", "Divide both sides by 16: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2400 = -15x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15, \"c\": -2400, \"x\": 150}", "seed": "1731905297071204400", "semantic_fingerprint": "sha256:d098da5293ce37ed6057f1beef376a732104348aa64e9f49c450b668f129931c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004679", "prompt": "What is -6420 - (-9093) - (-4659 - 9532)?", "solution_steps": ["Subtract: -6420 - (-9093) = 2673", "Subtract: -4659 - 9532 = -14191", "Subtract: 2673 - (-14191) = 16864"], "final_answer": "16864", "answer_type": "integer", "kind": "expression", "math_text": "-6420 - (-9093) - (-4659 - 9532)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6420, \"b\": -9093, \"c\": -4659, \"d\": 9532}", "seed": "6520431985795874314", "semantic_fingerprint": "sha256:ffc04c0ecc89a7b8ef67ebd4e652663d5a841e19d14d3dee804a30c244fd95e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004680", "prompt": "Evaluate: -9749 * (11715 - 9335) + (-8249)", "solution_steps": ["Subtract: 11715 - 9335 = 2380", "Multiply: -9749 * 2380 = -23202620", "Add: -23202620 + (-8249) = -23210869"], "final_answer": "-23210869", "answer_type": "integer", "kind": "expression", "math_text": "-9749 * (11715 - 9335) + (-8249)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9749, \"b\": 11715, \"c\": 9335, \"d\": -8249}", "seed": "16092236951095750111", "semantic_fingerprint": "sha256:fdc32f48a64c5cb0abe0f15af5f1c16d2790d5f28f51068441a25bc524723d21", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004681", "prompt": "Calculate: -9569 * (-1300) * (3442 + (-67740)) + (-9586)", "solution_steps": ["Multiply: -9569 * (-1300) = 12439700", "Add: 3442 + (-67740) = -64298", "Multiply: 12439700 * (-64298) = -799847830600", "Add: -799847830600 + (-9586) = -799847840186"], "final_answer": "-799847840186", "answer_type": "integer", "kind": "expression", "math_text": "-9569 * (-1300) * (3442 + (-67740)) + (-9586)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9569, \"b\": -1300, \"c\": 3442, \"d\": -67740, \"e\": -9586}", "seed": "16034533943523190015", "semantic_fingerprint": "sha256:9b66be0876b3a0e17811e68deee2342c932c1d57eb8a7fbb6566c8dc61756fe4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004682", "prompt": "What is 7756 + 8650 + (-1046)?", "solution_steps": ["Add: 7756 + 8650 = 16406", "Add: 16406 + (-1046) = 15360"], "final_answer": "15360", "answer_type": "integer", "kind": "expression", "math_text": "7756 + 8650 + (-1046)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7756, \"b\": 8650, \"c\": -1046}", "seed": "18067123952198467323", "semantic_fingerprint": "sha256:2f754300bac7e691048107d770c87eb0d993247342e6d97bbc19b1b676a3dce4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004683", "prompt": "Compute: (-8424 - 62827) * (-3332) - 1083", "solution_steps": ["Subtract: -8424 - 62827 = -71251", "Multiply: -71251 * (-3332) = 237408332", "Subtract: 237408332 - 1083 = 237407249"], "final_answer": "237407249", "answer_type": "integer", "kind": "expression", "math_text": "(-8424 - 62827) * (-3332) - 1083", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8424, \"b\": 62827, \"c\": -3332, \"d\": 1083}", "seed": "12060963319746203439", "semantic_fingerprint": "sha256:d19d56f5e371f9d2470323fa283a74c8f6d7a5c8d2f4a802e9b51fd94743bcff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004684", "prompt": "Compute: (-4956 - (-98916 - (-6180))) / (-5260 * (-9485))", "solution_steps": ["Subtract: -98916 - (-6180) = -92736", "Subtract: -4956 - (-92736) = 87780", "Multiply: -5260 * (-9485) = 49891100", "Divide: 87780 / 49891100 = 627/356365"], "final_answer": "627/356365", "answer_type": "rational", "kind": "expression", "math_text": "(-4956 - (-98916 - (-6180))) / (-5260 * (-9485))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4956, \"b\": -98916, \"c\": -6180, \"d\": -5260, \"e\": -9485}", "seed": "16937475729480075378", "semantic_fingerprint": "sha256:130e584931303617fc8c1dc81d5931055346952ddc407ef96a8bd9436c0afb05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004685", "prompt": "Find x: x + 98633 = 19x", "solution_steps": ["Subtract 19x from both sides: -18x + 98633 = 0", "Subtract 98633 from both sides: -18x = -98633", "Divide both sides by -18: x = 98633/18"], "final_answer": "98633/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 98633 = 19x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98633, \"b\": 19}", "seed": "11405185872884983758", "semantic_fingerprint": "sha256:849c6cd68ee709d32008f2529935e5442967a3fa58e2d2c88ca719e1eb7c981e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004686", "prompt": "Solve for x: 17x = x - 2304", "solution_steps": ["Subtract x from both sides: 16x = -2304", "Divide both sides by 16: x = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = x - 2304", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": -2304, \"x\": -144}", "seed": "1845345115422417178", "semantic_fingerprint": "sha256:c7777f608cebaf2b331632dca5e183b18ccc5c29040bad65cc2ccd600fc3a5e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004687", "prompt": "What is -4937 / (-4746 + 5222) * (-5772)?", "solution_steps": ["Add: -4746 + 5222 = 476", "Divide: -4937 / 476 = -4937/476", "Multiply: (-4937/476) * (-5772) = 7124091/119"], "final_answer": "7124091/119", "answer_type": "rational", "kind": "expression", "math_text": "-4937 / (-4746 + 5222) * (-5772)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4937, \"b\": -4746, \"c\": 5222, \"d\": -5772}", "seed": "1174982885691038700", "semantic_fingerprint": "sha256:aa6dc79397b3bd2f365c3963af07ee83087869bce2abca835675b376bee962dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004688", "prompt": "Calculate: -2980 / 1555", "solution_steps": ["Divide: -2980 / 1555 = -596/311"], "final_answer": "-596/311", "answer_type": "rational", "kind": "expression", "math_text": "-2980 / 1555", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2980, \"b\": 1555}", "seed": "16189989086051781936", "semantic_fingerprint": "sha256:2188338e276ca5fdd53c4ca18b8e750f90b6a4eaa50e027122d19c4607c7c8cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004689", "prompt": "Find x: -34(x + 83755) = -18x", "solution_steps": ["Expand: -34x - 2847670 = -18x", "Add 18x to both sides: -16x - 2847670 = 0", "Add 2847670 to both sides: -16x = 2847670", "Divide both sides by -16: x = -1423835/8"], "final_answer": "-1423835/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x + 83755) = -18x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 83755, \"c\": -18}", "seed": "15131962829516202437", "semantic_fingerprint": "sha256:7a1b34dbb42e81cb7f202d365344ff1f3943da5b083ef0162ced03356c5758f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004690", "prompt": "Solve the equation 37(x - 17726) - 69087 = -82999 for x.", "solution_steps": ["Expand: 37x - 655862 - 69087 = -82999", "Combine constants: 37x - 724949 = -82999", "Add 724949 to both sides: 37x = 641950", "Divide both sides by 37: x = 17350"], "final_answer": "17350", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x - 17726) - 69087 = -82999", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 17726, \"c\": 69087, \"d\": -82999}", "seed": "12364138840234624001", "semantic_fingerprint": "sha256:4490befa3e6dd7ee8a9e2f90cd0dca637d6988dcc252179d7d5b6638007dda86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004691", "prompt": "Calculate: -6597 / (-7025)", "solution_steps": ["Divide: -6597 / (-7025) = 6597/7025"], "final_answer": "6597/7025", "answer_type": "rational", "kind": "expression", "math_text": "-6597 / (-7025)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6597, \"b\": -7025}", "seed": "12846891702556069940", "semantic_fingerprint": "sha256:75dd9341c0c8acf5ba5fd0dd8dd5b64cfc3f8978692ca6d9fdcbf58d3c814bb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004692", "prompt": "What value of x satisfies 24x = -3192?", "solution_steps": ["Divide both sides by 24: x = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x = -3192", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": -3192, \"x\": -133}", "seed": "13156102888725103478", "semantic_fingerprint": "sha256:0080693e6bdc7294c53bdf6a6fab7f45c2bbeba5a6d05350c639808d9c197fff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004693", "prompt": "What value of x satisfies 16x - 5606 = x - 4871?", "solution_steps": ["Subtract x from both sides: 15x - 5606 = -4871", "Add 5606 to both sides: 15x = 735", "Divide both sides by 15: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x - 5606 = x - 4871", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5606, \"d\": -4871, \"x\": 49}", "seed": "8636568876936233675", "semantic_fingerprint": "sha256:90d144fd15d28d5dbf61c97c31c8fa0f666b68ecdb1673317ff41e461c34f30e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004694", "prompt": "What value of x satisfies 20x + 2907 = x?", "solution_steps": ["Subtract x from both sides: 19x + 2907 = 0", "Subtract 2907 from both sides: 19x = -2907", "Divide both sides by 19: x = -153"], "final_answer": "-153", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 2907 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 2907, \"x\": -153}", "seed": "7678469464543377656", "semantic_fingerprint": "sha256:8d82c99af3c1ee20132e674213301c9182f2651b3e8fc584d475d6f6dfd8bf05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004695", "prompt": "What value of x satisfies -17x + 5360 = 23x?", "solution_steps": ["Subtract 23x from both sides: -40x + 5360 = 0", "Subtract 5360 from both sides: -40x = -5360", "Divide both sides by -40: x = 134"], "final_answer": "134", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x + 5360 = 23x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 23, \"d\": 5360, \"x\": 134}", "seed": "3376198197705261544", "semantic_fingerprint": "sha256:476e47af1ec1ec8d1201a2d0c79af8e6243e9545d2ff1e7117c4417e1de33930", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004696", "prompt": "Calculate: 1649 * (-9602)", "solution_steps": ["Multiply: 1649 * (-9602) = -15833698"], "final_answer": "-15833698", "answer_type": "integer", "kind": "expression", "math_text": "1649 * (-9602)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1649, \"b\": -9602}", "seed": "11197214852356401531", "semantic_fingerprint": "sha256:ae9043a91c72ecb98c1f544100feb83eaef4953db2fbf8e8a3fcb1241ac68101", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004697", "prompt": "Compute: (4740 + (-54561)) * (-2298) - (-38585)", "solution_steps": ["Add: 4740 + (-54561) = -49821", "Multiply: -49821 * (-2298) = 114488658", "Subtract: 114488658 - (-38585) = 114527243"], "final_answer": "114527243", "answer_type": "integer", "kind": "expression", "math_text": "(4740 + (-54561)) * (-2298) - (-38585)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4740, \"b\": -54561, \"c\": -2298, \"d\": -38585}", "seed": "15183224973536830413", "semantic_fingerprint": "sha256:649266014fa0e2ae3c2dff62711f9e23922009c9b8f19707e15f17932be7d209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004698", "prompt": "Solve the equation 39(x - 2999) = x for x.", "solution_steps": ["Expand: 39x - 116961 = x", "Subtract x from both sides: 38x - 116961 = 0", "Add 116961 to both sides: 38x = 116961", "Divide both sides by 38: x = 116961/38"], "final_answer": "116961/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 2999) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 2999}", "seed": "12967103512923633434", "semantic_fingerprint": "sha256:bef3f16f7c71b7e23cc83477a450394a5974bbbaf4bda3ef5a6f1380c83472b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004699", "prompt": "Solve for x: 16(x + 30778) = x", "solution_steps": ["Expand: 16x + 492448 = x", "Subtract x from both sides: 15x + 492448 = 0", "Subtract 492448 from both sides: 15x = -492448", "Divide both sides by 15: x = -492448/15"], "final_answer": "-492448/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 30778) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 30778}", "seed": "6378817173931667730", "semantic_fingerprint": "sha256:af79b5247b3b9493989331b1113ffd65593bdd2e8927be22dcfa7a9cfbc66e30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004700", "prompt": "Evaluate: (7697 - (-54201)) / 9011", "solution_steps": ["Subtract: 7697 - (-54201) = 61898", "Divide: 61898 / 9011 = 61898/9011"], "final_answer": "61898/9011", "answer_type": "rational", "kind": "expression", "math_text": "(7697 - (-54201)) / 9011", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7697, \"b\": -54201, \"c\": 9011}", "seed": "6711867798950834308", "semantic_fingerprint": "sha256:b88553c9b19fe119925e6edbc1784932cf069d8f8aef21823c56b5cfc759cdde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004701", "prompt": "What value of x satisfies 28x + 7410 = 19(x + 3661) - 63841?", "solution_steps": ["Expand: 28x + 7410 = 19x + 69559 - 63841", "Combine constants: 28x + 7410 = 19x + 5718", "Subtract 19x from both sides: 9x + 7410 = 5718", "Subtract 7410 from both sides: 9x = -1692", "Divide both sides by 9: x = -188"], "final_answer": "-188", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 7410 = 19(x + 3661) - 63841", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 7410, \"c\": 19, \"d\": 3661, \"f\": -63841, \"x\": -188}", "seed": "16237882257649347966", "semantic_fingerprint": "sha256:d9c324bbc3e79c573df772911c0cb2ec6167ca325985e4e11a79fec5d1122026", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004702", "prompt": "What is -38277 * 8433?", "solution_steps": ["Multiply: -38277 * 8433 = -322789941"], "final_answer": "-322789941", "answer_type": "integer", "kind": "expression", "math_text": "-38277 * 8433", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -38277, \"b\": 8433}", "seed": "10091533664070632355", "semantic_fingerprint": "sha256:79b843968823450aebe35f35eee6c87404f0e027191c03783b90e2d612ea8e2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004703", "prompt": "Solve for x: 35(x - 4251) = -39x + 7538", "solution_steps": ["Expand: 35x - 148785 = -39x + 7538", "Add 39x to both sides: 74x - 148785 = 7538", "Add 148785 to both sides: 74x = 156323", "Divide both sides by 74: x = 156323/74"], "final_answer": "156323/74", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 4251) = -39x + 7538", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4251, \"c\": -39, \"d\": 7538}", "seed": "2975267685554766137", "semantic_fingerprint": "sha256:f0fc4c797fb56ce960e59fb9f1ac36cebb910e6d327c87430992a046b78b8520", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004704", "prompt": "Compute: 4086 * (-7674 - 6748)", "solution_steps": ["Subtract: -7674 - 6748 = -14422", "Multiply: 4086 * (-14422) = -58928292"], "final_answer": "-58928292", "answer_type": "integer", "kind": "expression", "math_text": "4086 * (-7674 - 6748)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4086, \"b\": -7674, \"c\": 6748}", "seed": "7638497472122859009", "semantic_fingerprint": "sha256:cf0b776f06575a0b445f84daf6deb8c50755e8fbaa614db95353c8c5a218f69d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004705", "prompt": "Evaluate: 9477 - (-32378) * (-7114) + (1670 + 29701)", "solution_steps": ["Multiply: -32378 * (-7114) = 230337092", "Subtract: 9477 - 230337092 = -230327615", "Add: 1670 + 29701 = 31371", "Add: -230327615 + 31371 = -230296244"], "final_answer": "-230296244", "answer_type": "integer", "kind": "expression", "math_text": "9477 - (-32378) * (-7114) + (1670 + 29701)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9477, \"b\": -32378, \"c\": -7114, \"d\": 1670, \"e\": 29701}", "seed": "10520266165529738321", "semantic_fingerprint": "sha256:d460b85555d3a2858946101e3bb9f64f26fb79263485c00fd896dddc4a384f5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004706", "prompt": "Solve for x: 26x + 31940 = x + 33990", "solution_steps": ["Subtract x from both sides: 25x + 31940 = 33990", "Subtract 31940 from both sides: 25x = 2050", "Divide both sides by 25: x = 82"], "final_answer": "82", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 31940 = x + 33990", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 31940, \"d\": 33990, \"x\": 82}", "seed": "12692063541623819679", "semantic_fingerprint": "sha256:a229dfc37a5fb3ee088ae31f8595afad26e0bf3fae54ea22b0e4e2a3d2e06850", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004707", "prompt": "Evaluate: 9312 + 2826 + (-10423) * 96008 / 46973", "solution_steps": ["Add: 9312 + 2826 = 12138", "Multiply: -10423 * 96008 = -1000691384", "Divide: -1000691384 / 46973 = -1000691384/46973", "Add: 12138 + (-1000691384/46973) = -430533110/46973"], "final_answer": "-430533110/46973", "answer_type": "rational", "kind": "expression", "math_text": "9312 + 2826 + (-10423) * 96008 / 46973", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9312, \"b\": 2826, \"c\": -10423, \"d\": 96008, \"e\": 46973}", "seed": "16823117653958074249", "semantic_fingerprint": "sha256:79001a19d862d533da23d01e04058c402f324450a4ecff17d078956e951f6a1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004708", "prompt": "What value of x satisfies 28(x + 6548) = 17(x - 7455)?", "solution_steps": ["Expand: 28x + 183344 = 17(x - 7455)", "Expand: 28x + 183344 = 17x - 126735", "Subtract 17x from both sides: 11x + 183344 = -126735", "Subtract 183344 from both sides: 11x = -310079", "Divide both sides by 11: x = -28189"], "final_answer": "-28189", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 6548) = 17(x - 7455)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 6548, \"c\": 17, \"d\": 7455}", "seed": "8742463977996296341", "semantic_fingerprint": "sha256:d124bf500b873bb663824e3baac5497ff51f14ff1ac5bcd2d8bf32cb9b13f753", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004709", "prompt": "Find x: x = 27(x - 14284)", "solution_steps": ["Expand: x = 27x - 385668", "Subtract 27x from both sides: -26x = -385668", "Divide both sides by -26: x = 192834/13"], "final_answer": "192834/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x - 14284)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 14284}", "seed": "16873153502539879568", "semantic_fingerprint": "sha256:5ff750ad51bd2b070afa24b922da24a6b2c2fc28badb859467820b222bf3ad9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004710", "prompt": "Find x: 16x - 8945 = x - 3981", "solution_steps": ["Subtract x from both sides: 15x - 8945 = -3981", "Add 8945 to both sides: 15x = 4964", "Divide both sides by 15: x = 4964/15"], "final_answer": "4964/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x - 8945 = x - 3981", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 8945, \"c\": 3981}", "seed": "16428928333555184619", "semantic_fingerprint": "sha256:1f7760172a3a31d208d6611cdaa3c9d7fd538660676ed1469bb7786ac24cefba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004711", "prompt": "Solve the equation 26(x - 87030) + 69911 = 36x - 2491 for x.", "solution_steps": ["Expand: 26x - 2262780 + 69911 = 36x - 2491", "Combine constants: 26x - 2192869 = 36x - 2491", "Subtract 36x from both sides: -10x - 2192869 = -2491", "Add 2192869 to both sides: -10x = 2190378", "Divide both sides by -10: x = -1095189/5"], "final_answer": "-1095189/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 87030) + 69911 = 36x - 2491", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 87030, \"c\": 69911, \"d\": 36, \"e\": 2491}", "seed": "5583724109350852782", "semantic_fingerprint": "sha256:0b65468cc88e1a0a20b2e4e6c676164f964f19e051d757c6fc1e4adee1a9cdbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004712", "prompt": "Find x: 35(x - 4423) = 20(x - 7791)", "solution_steps": ["Expand: 35x - 154805 = 20(x - 7791)", "Expand: 35x - 154805 = 20x - 155820", "Subtract 20x from both sides: 15x - 154805 = -155820", "Add 154805 to both sides: 15x = -1015", "Divide both sides by 15: x = -203/3"], "final_answer": "-203/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 4423) = 20(x - 7791)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4423, \"c\": 20, \"d\": 7791}", "seed": "9495454476020334380", "semantic_fingerprint": "sha256:270bdabb500289657ebc1b6d3cd87a2b9742f79653cd5d0cc5ffaa070ca60e36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004713", "prompt": "Compute: 33176 - (-6648) * 8144 - (9361 - (-87308) + (-9551))", "solution_steps": ["Multiply: -6648 * 8144 = -54141312", "Subtract: 33176 - (-54141312) = 54174488", "Subtract: 9361 - (-87308) = 96669", "Add: 96669 + (-9551) = 87118", "Subtract: 54174488 - 87118 = 54087370"], "final_answer": "54087370", "answer_type": "integer", "kind": "expression", "math_text": "33176 - (-6648) * 8144 - (9361 - (-87308) + (-9551))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33176, \"b\": -6648, \"c\": 8144, \"d\": 9361, \"e\": -87308, \"f\": -9551}", "seed": "619252126062195699", "semantic_fingerprint": "sha256:afe94042a110b1bd868585b15c9b5a6dbfa45254c82a626f956a45e6745e0cc4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004714", "prompt": "What is -11720 - 8431 * (5687 * (-8901))?", "solution_steps": ["Multiply: 5687 * (-8901) = -50619987", "Multiply: 8431 * (-50619987) = -426777110397", "Subtract: -11720 - (-426777110397) = 426777098677"], "final_answer": "426777098677", "answer_type": "integer", "kind": "expression", "math_text": "-11720 - 8431 * (5687 * (-8901))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -11720, \"b\": 8431, \"c\": 5687, \"d\": -8901}", "seed": "334775754888041334", "semantic_fingerprint": "sha256:a0a67a892d3ab77b89f782659b20704874c669b39af3942bf66c1714d9192f9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004715", "prompt": "What value of x satisfies 35x = x - 5168?", "solution_steps": ["Subtract x from both sides: 34x = -5168", "Divide both sides by 34: x = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x = x - 5168", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"c\": -5168, \"x\": -152}", "seed": "9335662707209543921", "semantic_fingerprint": "sha256:ecca6888c8a5886655175d83ac7603415645ec6da5cc37a25f3b98b90b8d7212", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004716", "prompt": "What is (8755 + (92694 + (-9122))) / (-8313 + 4745 + (-4595))?", "solution_steps": ["Add: 92694 + (-9122) = 83572", "Add: 8755 + 83572 = 92327", "Add: -8313 + 4745 = -3568", "Add: -3568 + (-4595) = -8163", "Divide: 92327 / (-8163) = -92327/8163"], "final_answer": "-92327/8163", "answer_type": "rational", "kind": "expression", "math_text": "(8755 + (92694 + (-9122))) / (-8313 + 4745 + (-4595))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8755, \"b\": 92694, \"c\": -9122, \"d\": -8313, \"e\": 4745, \"f\": -4595}", "seed": "17641876495450291181", "semantic_fingerprint": "sha256:2f212d0255f8dbfa04f2b1d00bf80585c7549f9e6dc9578beb3ceb4170088f0d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004717", "prompt": "What value of x satisfies 22x - 5319 = x + 4173?", "solution_steps": ["Subtract x from both sides: 21x - 5319 = 4173", "Add 5319 to both sides: 21x = 9492", "Divide both sides by 21: x = 452"], "final_answer": "452", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x - 5319 = x + 4173", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5319, \"c\": 4173}", "seed": "17061927351493846676", "semantic_fingerprint": "sha256:a7ce9303186d083dfe78e28013a075180eaf2bf7513c8435385e6b0b4ecfebca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004718", "prompt": "Evaluate: (-66815 - (-45634)) * 7482 + (-77487)", "solution_steps": ["Subtract: -66815 - (-45634) = -21181", "Multiply: -21181 * 7482 = -158476242", "Add: -158476242 + (-77487) = -158553729"], "final_answer": "-158553729", "answer_type": "integer", "kind": "expression", "math_text": "(-66815 - (-45634)) * 7482 + (-77487)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -66815, \"b\": -45634, \"c\": 7482, \"d\": -77487}", "seed": "6136874978386458947", "semantic_fingerprint": "sha256:e80ac94778c5737d7f985cd76e79ac23e028741e9c9cc342d9d7660238159da0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004719", "prompt": "Calculate: 3586 * 11457 / (-54247) - 68319 - (-2836)", "solution_steps": ["Multiply: 3586 * 11457 = 41084802", "Divide: 41084802 / (-54247) = -41084802/54247", "Subtract: -41084802/54247 - 68319 = -3747185595/54247", "Subtract: -3747185595/54247 - (-2836) = -3593341103/54247"], "final_answer": "-3593341103/54247", "answer_type": "rational", "kind": "expression", "math_text": "3586 * 11457 / (-54247) - 68319 - (-2836)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3586, \"b\": 11457, \"c\": -54247, \"d\": 68319, \"e\": -2836}", "seed": "501320032407378287", "semantic_fingerprint": "sha256:a8b05a2049b09df898387deda21bc6529b390c979f0ed32d2882657e268c49ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004720", "prompt": "Find x: x - 5072 = -3245", "solution_steps": ["Add 5072 to both sides: x = 1827"], "final_answer": "1827", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5072 = -3245", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5072, \"b\": -3245}", "seed": "5903285408291926508", "semantic_fingerprint": "sha256:806cd7c0be134422602fb79a84c0a5f9d4c24213415a00e9e8bce8d4db1f0add", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004721", "prompt": "Calculate: -5837 * (-8998)", "solution_steps": ["Multiply: -5837 * (-8998) = 52521326"], "final_answer": "52521326", "answer_type": "integer", "kind": "expression", "math_text": "-5837 * (-8998)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5837, \"b\": -8998}", "seed": "2829753623887627364", "semantic_fingerprint": "sha256:d6f4c878f4226f5fc52e9541c8174003d1f748059d53dcc782ce53cb9905f429", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004722", "prompt": "What is 84218 + 73434 + (-6750) - (-42528)?", "solution_steps": ["Add: 84218 + 73434 = 157652", "Add: 157652 + (-6750) = 150902", "Subtract: 150902 - (-42528) = 193430"], "final_answer": "193430", "answer_type": "integer", "kind": "expression", "math_text": "84218 + 73434 + (-6750) - (-42528)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84218, \"b\": 73434, \"c\": -6750, \"d\": -42528}", "seed": "3093515234167388671", "semantic_fingerprint": "sha256:8f3fc09561e930d69764d88564280284f82bce09dbf2eb95266b91ccf0c919e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004723", "prompt": "Calculate: 6459 * (1233 * 94951 + 9081)", "solution_steps": ["Multiply: 1233 * 94951 = 117074583", "Add: 117074583 + 9081 = 117083664", "Multiply: 6459 * 117083664 = 756243385776"], "final_answer": "756243385776", "answer_type": "integer", "kind": "expression", "math_text": "6459 * (1233 * 94951 + 9081)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6459, \"b\": 1233, \"c\": 94951, \"d\": 9081}", "seed": "13492857752347972048", "semantic_fingerprint": "sha256:dd7a36ba173367c8b564181f663b6ff85fb9ddeaea250cbdb9cfb913adb838a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004724", "prompt": "Solve the equation 39x = 33(x + 8784) for x.", "solution_steps": ["Expand: 39x = 33x + 289872", "Subtract 33x from both sides: 6x = 289872", "Divide both sides by 6: x = 48312"], "final_answer": "48312", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = 33(x + 8784)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 33, \"c\": 8784}", "seed": "16487247062148153863", "semantic_fingerprint": "sha256:67477c7619ebd05afa208afdca981584bd091a9e9c9d4e4c20a32ca5e69429ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004725", "prompt": "Find x: x + 5837 = -36x + 9944", "solution_steps": ["Add 36x to both sides: 37x + 5837 = 9944", "Subtract 5837 from both sides: 37x = 4107", "Divide both sides by 37: x = 111"], "final_answer": "111", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5837 = -36x + 9944", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5837, \"b\": -36, \"d\": 9944, \"x\": 111}", "seed": "14069476523187559112", "semantic_fingerprint": "sha256:4d69cf742d7a94a44654b4da6ed85384b95ee57c1d2a7ad5a38b7a5911737f67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004726", "prompt": "What is -1025 / (-95108) * (-4269 * (45335 + (7755 - (-5551))))?", "solution_steps": ["Divide: -1025 / (-95108) = 1025/95108", "Subtract: 7755 - (-5551) = 13306", "Add: 45335 + 13306 = 58641", "Multiply: -4269 * 58641 = -250338429", "Multiply: (1025/95108) * (-250338429) = -256596889725/95108"], "final_answer": "-256596889725/95108", "answer_type": "rational", "kind": "expression", "math_text": "-1025 / (-95108) * (-4269 * (45335 + (7755 - (-5551))))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* n (+ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1025, \"b\": -95108, \"c\": -4269, \"d\": 45335, \"e\": 7755, \"f\": -5551}", "seed": "793005535399060483", "semantic_fingerprint": "sha256:0cf44564f83b2401bd980cbc06719bc5d47678c28bd9a4cbbbd141f2272f3e40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004727", "prompt": "What is -89748 * (-9601) + (-94792)?", "solution_steps": ["Multiply: -89748 * (-9601) = 861670548", "Add: 861670548 + (-94792) = 861575756"], "final_answer": "861575756", "answer_type": "integer", "kind": "expression", "math_text": "-89748 * (-9601) + (-94792)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89748, \"b\": -9601, \"c\": -94792}", "seed": "15839444399266920031", "semantic_fingerprint": "sha256:8b2ea3ea43f08afef6e18d906130511d06f52deadca276a732686e40d8ebd29c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004728", "prompt": "What is -90088 + (-4558 + 37250) + (7945 + 8596 - 6672)?", "solution_steps": ["Add: -4558 + 37250 = 32692", "Add: -90088 + 32692 = -57396", "Add: 7945 + 8596 = 16541", "Subtract: 16541 - 6672 = 9869", "Add: -57396 + 9869 = -47527"], "final_answer": "-47527", "answer_type": "integer", "kind": "expression", "math_text": "-90088 + (-4558 + 37250) + (7945 + 8596 - 6672)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -90088, \"b\": -4558, \"c\": 37250, \"d\": 7945, \"e\": 8596, \"f\": 6672}", "seed": "7899073815141171567", "semantic_fingerprint": "sha256:89609d49e6f8401d0fcd9fe7c754baf0e38c27e5cbd640e27c82429f9d1d5923", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004729", "prompt": "Evaluate: 8438 * 1743 - 1932 + (3923 - (-7999) / 3935)", "solution_steps": ["Multiply: 8438 * 1743 = 14707434", "Subtract: 14707434 - 1932 = 14705502", "Divide: -7999 / 3935 = -7999/3935", "Subtract: 3923 - (-7999/3935) = 15445004/3935", "Add: 14705502 + 15445004/3935 = 57881595374/3935"], "final_answer": "57881595374/3935", "answer_type": "rational", "kind": "expression", "math_text": "8438 * 1743 - 1932 + (3923 - (-7999) / 3935)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8438, \"b\": 1743, \"c\": 1932, \"d\": 3923, \"e\": -7999, \"f\": 3935}", "seed": "6035279760919268487", "semantic_fingerprint": "sha256:6b3cdfb75b6f3474c0588bb2b19b7d1bd026c135950cf8e600d354c4a14edd57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004730", "prompt": "Compute: -3430 + (-3063) * (-1868) + 44638", "solution_steps": ["Multiply: -3063 * (-1868) = 5721684", "Add: -3430 + 5721684 = 5718254", "Add: 5718254 + 44638 = 5762892"], "final_answer": "5762892", "answer_type": "integer", "kind": "expression", "math_text": "-3430 + (-3063) * (-1868) + 44638", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3430, \"b\": -3063, \"c\": -1868, \"d\": 44638}", "seed": "15011113159271892071", "semantic_fingerprint": "sha256:c1671a9f162b3cb027bb4f7fd649b0f50d4a4fdbe76fef571fd92db00b4e094c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004731", "prompt": "Solve for x: 32(x - 2003) = -37x + 5930", "solution_steps": ["Expand: 32x - 64096 = -37x + 5930", "Add 37x to both sides: 69x - 64096 = 5930", "Add 64096 to both sides: 69x = 70026", "Divide both sides by 69: x = 23342/23"], "final_answer": "23342/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 2003) = -37x + 5930", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2003, \"c\": -37, \"d\": 5930}", "seed": "16498746951383932725", "semantic_fingerprint": "sha256:e9377a14a3d4533d89d2856b0bffb37f2651800e0dd2e1162959b264288b789f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004732", "prompt": "Find x: -32x - 82926 = 9945", "solution_steps": ["Add 82926 to both sides: -32x = 92871", "Divide both sides by -32: x = -92871/32"], "final_answer": "-92871/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x - 82926 = 9945", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 82926, \"c\": 9945}", "seed": "10235767047491414495", "semantic_fingerprint": "sha256:9f0acb3bb0b1df776d6d6750d56bf806f7484e0342ba64e0c02d1c34465ff6dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004733", "prompt": "Compute: (-96396 - (-7194)) * (-6112 + (-3337))", "solution_steps": ["Subtract: -96396 - (-7194) = -89202", "Add: -6112 + (-3337) = -9449", "Multiply: -89202 * (-9449) = 842869698"], "final_answer": "842869698", "answer_type": "integer", "kind": "expression", "math_text": "(-96396 - (-7194)) * (-6112 + (-3337))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -96396, \"b\": -7194, \"c\": -6112, \"d\": -3337}", "seed": "8716481514123573390", "semantic_fingerprint": "sha256:dac34c661caf3441f6b53d06039244ab8b7f3a31618a4d03308ffa9fa9258e7f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004734", "prompt": "What is -9476 + 5976 + 9700?", "solution_steps": ["Add: -9476 + 5976 = -3500", "Add: -3500 + 9700 = 6200"], "final_answer": "6200", "answer_type": "integer", "kind": "expression", "math_text": "-9476 + 5976 + 9700", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9476, \"b\": 5976, \"c\": 9700}", "seed": "3256539823578773303", "semantic_fingerprint": "sha256:62934c2831d81199012b352b0f697a3255ebd8d0ab43746b70837c45d68d5e56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004735", "prompt": "Compute: -2236 - (-71711) + 2033 + (-2609) + (-2664) + (-2749)", "solution_steps": ["Subtract: -2236 - (-71711) = 69475", "Add: 69475 + 2033 = 71508", "Add: 71508 + (-2609) = 68899", "Add: 68899 + (-2664) = 66235", "Add: 66235 + (-2749) = 63486"], "final_answer": "63486", "answer_type": "integer", "kind": "expression", "math_text": "-2236 - (-71711) + 2033 + (-2609) + (-2664) + (-2749)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ (+ (- n n) n) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2236, \"b\": -71711, \"c\": 2033, \"d\": -2609, \"e\": -2664, \"f\": -2749}", "seed": "3599309864134068217", "semantic_fingerprint": "sha256:aade39135dad26d8b66ed52b7e8fea6b111bc82dc986b7f2b1ae4b8851573c01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004736", "prompt": "What value of x satisfies 23x + 1112 = x + 30653?", "solution_steps": ["Subtract x from both sides: 22x + 1112 = 30653", "Subtract 1112 from both sides: 22x = 29541", "Divide both sides by 22: x = 29541/22"], "final_answer": "29541/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 1112 = x + 30653", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1112, \"c\": 30653}", "seed": "7253495814738740317", "semantic_fingerprint": "sha256:04d104d597e8e2212e05a159b8579b823ab4dc89527618e2cebf4145cb65da3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004737", "prompt": "Solve the equation x + 80475 = 22(x + 9668) + 8390 for x.", "solution_steps": ["Expand: x + 80475 = 22x + 212696 + 8390", "Combine constants: x + 80475 = 22x + 221086", "Subtract 22x from both sides: -21x + 80475 = 221086", "Subtract 80475 from both sides: -21x = 140611", "Divide both sides by -21: x = -140611/21"], "final_answer": "-140611/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 80475 = 22(x + 9668) + 8390", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 80475, \"b\": 22, \"c\": 9668, \"d\": 8390}", "seed": "18180767620895697257", "semantic_fingerprint": "sha256:64848b9f0e5d08aaab676824c30f49205ae5381eed89ca3c5f7d50d2baf8ce1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004738", "prompt": "Evaluate: (39057 - (-5724 - (-4232))) * 67172", "solution_steps": ["Subtract: -5724 - (-4232) = -1492", "Subtract: 39057 - (-1492) = 40549", "Multiply: 40549 * 67172 = 2723757428"], "final_answer": "2723757428", "answer_type": "integer", "kind": "expression", "math_text": "(39057 - (-5724 - (-4232))) * 67172", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39057, \"b\": -5724, \"c\": -4232, \"d\": 67172}", "seed": "3930205776040881850", "semantic_fingerprint": "sha256:ec0d4c443b0f7073e37b407dab2175f237c6d5c395c6c8fdc8c3bedf7fe433ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004739", "prompt": "Compute: 39525 / (9159 + 6016) + 7370", "solution_steps": ["Add: 9159 + 6016 = 15175", "Divide: 39525 / 15175 = 1581/607", "Add: 1581/607 + 7370 = 4475171/607"], "final_answer": "4475171/607", "answer_type": "rational", "kind": "expression", "math_text": "39525 / (9159 + 6016) + 7370", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39525, \"b\": 9159, \"c\": 6016, \"d\": 7370}", "seed": "17166147081479807011", "semantic_fingerprint": "sha256:622f42e3982e49b7e16ca171dc9180176972f3d01df16e907acb010cc33af0ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004740", "prompt": "Calculate: -57964 / (57653 - 9114 + (-72828 - (-33304)))", "solution_steps": ["Subtract: 57653 - 9114 = 48539", "Subtract: -72828 - (-33304) = -39524", "Add: 48539 + (-39524) = 9015", "Divide: -57964 / 9015 = -57964/9015"], "final_answer": "-57964/9015", "answer_type": "rational", "kind": "expression", "math_text": "-57964 / (57653 - 9114 + (-72828 - (-33304)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -57964, \"b\": 57653, \"c\": 9114, \"d\": -72828, \"e\": -33304}", "seed": "7147484191058163068", "semantic_fingerprint": "sha256:594340432dc20e3c35d17b203f668daacb984509c9fce796ad44e25e84398f36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004741", "prompt": "Compute: 5480 / ((8576 - (-7248 + 54882)) / (-86239))", "solution_steps": ["Add: -7248 + 54882 = 47634", "Subtract: 8576 - 47634 = -39058", "Divide: -39058 / (-86239) = 39058/86239", "Divide: 5480 / (39058/86239) = 236294860/19529"], "final_answer": "236294860/19529", "answer_type": "rational", "kind": "expression", "math_text": "5480 / ((8576 - (-7248 + 54882)) / (-86239))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5480, \"b\": 8576, \"c\": -7248, \"d\": 54882, \"e\": -86239}", "seed": "15975951635550097775", "semantic_fingerprint": "sha256:2f55291ac0dc3fd96b28bff3ca983604e0b47c2ff02e208b189acbccc1ca4f54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004742", "prompt": "Solve for x: 15(x + 5894) = -26(x - 62085)", "solution_steps": ["Expand: 15x + 88410 = -26(x - 62085)", "Expand: 15x + 88410 = -26x + 1614210", "Add 26x to both sides: 41x + 88410 = 1614210", "Subtract 88410 from both sides: 41x = 1525800", "Divide both sides by 41: x = 1525800/41"], "final_answer": "1525800/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 5894) = -26(x - 62085)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 5894, \"c\": -26, \"d\": 62085}", "seed": "14581372262491974214", "semantic_fingerprint": "sha256:4d1acd02d67bf8a6064b41547a78cd1371ebab051dd49cf87ae1966c73e57751", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004743", "prompt": "What is -1750 * (-3840)?", "solution_steps": ["Multiply: -1750 * (-3840) = 6720000"], "final_answer": "6720000", "answer_type": "integer", "kind": "expression", "math_text": "-1750 * (-3840)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1750, \"b\": -3840}", "seed": "16430735633043230890", "semantic_fingerprint": "sha256:91e8cb5147707cfa6d5ab24255e292dd03de80dbb7684a7145d1f2a6ba6a22b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004744", "prompt": "Find x: x + 6401 = 38x", "solution_steps": ["Subtract 38x from both sides: -37x + 6401 = 0", "Subtract 6401 from both sides: -37x = -6401", "Divide both sides by -37: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6401 = 38x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 6401, \"x\": 173}", "seed": "10957027164623849493", "semantic_fingerprint": "sha256:240a8c39ec843410040a1b4342147171a3b22c86a9cdb870b7977616292e3510", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004745", "prompt": "Evaluate: 5398 * 3454 * (2761 + (-5451))", "solution_steps": ["Multiply: 5398 * 3454 = 18644692", "Add: 2761 + (-5451) = -2690", "Multiply: 18644692 * (-2690) = -50154221480"], "final_answer": "-50154221480", "answer_type": "integer", "kind": "expression", "math_text": "5398 * 3454 * (2761 + (-5451))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5398, \"b\": 3454, \"c\": 2761, \"d\": -5451}", "seed": "1834487782106735112", "semantic_fingerprint": "sha256:bde82ed0ae794815e8160d4d745b33ed9d921e6dc2fd9d402bcca8a99cd085ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004746", "prompt": "Evaluate: 2489 * (-8494)", "solution_steps": ["Multiply: 2489 * (-8494) = -21141566"], "final_answer": "-21141566", "answer_type": "integer", "kind": "expression", "math_text": "2489 * (-8494)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2489, \"b\": -8494}", "seed": "2206634578070520435", "semantic_fingerprint": "sha256:08341334d846b7a6dd54b106ee598b8970a28367c184e8d5c3e565e695d8b2b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004747", "prompt": "What value of x satisfies 24x - 2912 = x - 1256?", "solution_steps": ["Subtract x from both sides: 23x - 2912 = -1256", "Add 2912 to both sides: 23x = 1656", "Divide both sides by 23: x = 72"], "final_answer": "72", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 2912 = x - 1256", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2912, \"d\": -1256, \"x\": 72}", "seed": "4282680024334402740", "semantic_fingerprint": "sha256:8cd62ad087007be601a1ddfa7a53ed69f09d21c45eb925905f36021956aa6513", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004748", "prompt": "Solve for x: 19x + 4413 = 25(x + 3780) - 89235", "solution_steps": ["Expand: 19x + 4413 = 25x + 94500 - 89235", "Combine constants: 19x + 4413 = 25x + 5265", "Subtract 25x from both sides: -6x + 4413 = 5265", "Subtract 4413 from both sides: -6x = 852", "Divide both sides by -6: x = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 4413 = 25(x + 3780) - 89235", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4413, \"c\": 25, \"d\": 3780, \"f\": -89235, \"x\": -142}", "seed": "8467329690941683461", "semantic_fingerprint": "sha256:5b09cfc6fab50117928a8ec0a07f704fdb276c6f82954d6a07cadc6d5ebc494e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004749", "prompt": "Evaluate: 2569 - (-7755 - 8676 + 1926)", "solution_steps": ["Subtract: -7755 - 8676 = -16431", "Add: -16431 + 1926 = -14505", "Subtract: 2569 - (-14505) = 17074"], "final_answer": "17074", "answer_type": "integer", "kind": "expression", "math_text": "2569 - (-7755 - 8676 + 1926)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2569, \"b\": -7755, \"c\": 8676, \"d\": 1926}", "seed": "10995408064894160354", "semantic_fingerprint": "sha256:9d69bb3449f366cbe909c27b69e0efa4cb7d80fd840d485f9055c7a7ab76b75a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004750", "prompt": "What value of x satisfies -16(x + 40949) = 14(x + 71330)?", "solution_steps": ["Expand: -16x - 655184 = 14(x + 71330)", "Expand: -16x - 655184 = 14x + 998620", "Subtract 14x from both sides: -30x - 655184 = 998620", "Add 655184 to both sides: -30x = 1653804", "Divide both sides by -30: x = -275634/5"], "final_answer": "-275634/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 40949) = 14(x + 71330)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 40949, \"c\": 14, \"d\": 71330}", "seed": "11421973638947373415", "semantic_fingerprint": "sha256:9324408617910b8cb0374887fd5c4df590451d23ed7b3eacd7a6042a3a8f93d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004751", "prompt": "Compute: -70198 - (-8720 - (-21353)) + 6990", "solution_steps": ["Subtract: -8720 - (-21353) = 12633", "Subtract: -70198 - 12633 = -82831", "Add: -82831 + 6990 = -75841"], "final_answer": "-75841", "answer_type": "integer", "kind": "expression", "math_text": "-70198 - (-8720 - (-21353)) + 6990", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -70198, \"b\": -8720, \"c\": -21353, \"d\": 6990}", "seed": "15377700529456726426", "semantic_fingerprint": "sha256:b582b45058300148e1e81168160a1a5f52d278f5275ddaa7bb4cd3460da67f3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004752", "prompt": "What is 1213 + (-58598) - (-47642)?", "solution_steps": ["Add: 1213 + (-58598) = -57385", "Subtract: -57385 - (-47642) = -9743"], "final_answer": "-9743", "answer_type": "integer", "kind": "expression", "math_text": "1213 + (-58598) - (-47642)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1213, \"b\": -58598, \"c\": -47642}", "seed": "13734054686670107970", "semantic_fingerprint": "sha256:3dcf083b0a055bda28d15096fdadfc320522f7c59a55d7778f8341b3780a77bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004753", "prompt": "Evaluate: 2597 / (-3242 - (-2472)) - (-6722)", "solution_steps": ["Subtract: -3242 - (-2472) = -770", "Divide: 2597 / (-770) = -371/110", "Subtract: -371/110 - (-6722) = 739049/110"], "final_answer": "739049/110", "answer_type": "rational", "kind": "expression", "math_text": "2597 / (-3242 - (-2472)) - (-6722)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2597, \"b\": -3242, \"c\": -2472, \"d\": -6722}", "seed": "3414441685818820946", "semantic_fingerprint": "sha256:22401ed020e659ddb6eb76e6c17882590d2c29af7f07fbd009c91fd70955b2aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004754", "prompt": "Calculate: (-3115 + 39263) / (-7927 - (-6748))", "solution_steps": ["Add: -3115 + 39263 = 36148", "Subtract: -7927 - (-6748) = -1179", "Divide: 36148 / (-1179) = -36148/1179"], "final_answer": "-36148/1179", "answer_type": "rational", "kind": "expression", "math_text": "(-3115 + 39263) / (-7927 - (-6748))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3115, \"b\": 39263, \"c\": -7927, \"d\": -6748}", "seed": "10551524403193571512", "semantic_fingerprint": "sha256:3b8d877315f0163a845c6ba2289a7a3e0e4309cfc90e16627e490ca1b66c6b9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004755", "prompt": "Evaluate: (57156 - (-1251)) / (-5689)", "solution_steps": ["Subtract: 57156 - (-1251) = 58407", "Divide: 58407 / (-5689) = -58407/5689"], "final_answer": "-58407/5689", "answer_type": "rational", "kind": "expression", "math_text": "(57156 - (-1251)) / (-5689)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57156, \"b\": -1251, \"c\": -5689}", "seed": "5555966585476291673", "semantic_fingerprint": "sha256:b99737633e1bf28383ba74ef3325cd3b8d6d066170375d050d5ef7109ace17d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004756", "prompt": "Solve the equation 13(x - 91524) = 36x for x.", "solution_steps": ["Expand: 13x - 1189812 = 36x", "Subtract 36x from both sides: -23x - 1189812 = 0", "Add 1189812 to both sides: -23x = 1189812", "Divide both sides by -23: x = -1189812/23"], "final_answer": "-1189812/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 91524) = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 91524, \"c\": 36}", "seed": "18384031320150821989", "semantic_fingerprint": "sha256:1a45d1e8a7e64edfb34e6ebc834b2090adddbeb74133dd603a02bd63aa5e00d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004757", "prompt": "Solve the equation x - 5692 = -5596 for x.", "solution_steps": ["Add 5692 to both sides: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5692 = -5596", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5692, \"c\": -5596, \"x\": 96}", "seed": "16166694259040992236", "semantic_fingerprint": "sha256:ccc585157ed5bbdc7bbcc8eb9a166a8e84dc469757935e5e311bcd9da4219041", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004758", "prompt": "Evaluate: 1585 / 38300 - 97261", "solution_steps": ["Divide: 1585 / 38300 = 317/7660", "Subtract: 317/7660 - 97261 = -745018943/7660"], "final_answer": "-745018943/7660", "answer_type": "rational", "kind": "expression", "math_text": "1585 / 38300 - 97261", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1585, \"b\": 38300, \"c\": 97261}", "seed": "15871300241573507049", "semantic_fingerprint": "sha256:cc4488c209075a6b2fed7ef6fb3196bd11d92a197f6cb6aa9e21436db979ee9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004759", "prompt": "Calculate: -85724 * (76372 + (2353 - (-5169)))", "solution_steps": ["Subtract: 2353 - (-5169) = 7522", "Add: 76372 + 7522 = 83894", "Multiply: -85724 * 83894 = -7191729256"], "final_answer": "-7191729256", "answer_type": "integer", "kind": "expression", "math_text": "-85724 * (76372 + (2353 - (-5169)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -85724, \"b\": 76372, \"c\": 2353, \"d\": -5169}", "seed": "16627991125256007104", "semantic_fingerprint": "sha256:a54e9fc16e538c11b232b830f834eba72c7776aba446568824815703ad109143", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004760", "prompt": "What is -5119 * (-97046)?", "solution_steps": ["Multiply: -5119 * (-97046) = 496778474"], "final_answer": "496778474", "answer_type": "integer", "kind": "expression", "math_text": "-5119 * (-97046)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5119, \"b\": -97046}", "seed": "17885641446703611205", "semantic_fingerprint": "sha256:97c3c34bcfdba3a32007dcf8ece69efed4571821f0157ef9131294e5268c37ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004761", "prompt": "Evaluate: (-18466 - 3499) * (7289 / (9651 / (-8325)) + 16992)", "solution_steps": ["Subtract: -18466 - 3499 = -21965", "Divide: 9651 / (-8325) = -3217/2775", "Divide: 7289 / (-3217/2775) = -20226975/3217", "Add: -20226975/3217 + 16992 = 34436289/3217", "Multiply: -21965 * (34436289/3217) = -756393087885/3217"], "final_answer": "-756393087885/3217", "answer_type": "rational", "kind": "expression", "math_text": "(-18466 - 3499) * (7289 / (9651 / (-8325)) + 16992)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ (/ n (/ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18466, \"b\": 3499, \"c\": 7289, \"d\": 9651, \"e\": -8325, \"f\": 16992}", "seed": "342519381570473036", "semantic_fingerprint": "sha256:c1ae77d4a27dfb930cf1bb8e7843622d1afd1f40fe1ff0116000e935a6544b8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004762", "prompt": "Evaluate: 5124 * (37757 / (-8934))", "solution_steps": ["Divide: 37757 / (-8934) = -37757/8934", "Multiply: 5124 * (-37757/8934) = -32244478/1489"], "final_answer": "-32244478/1489", "answer_type": "rational", "kind": "expression", "math_text": "5124 * (37757 / (-8934))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5124, \"b\": 37757, \"c\": -8934}", "seed": "10525445026302287297", "semantic_fingerprint": "sha256:aeac79576f4d277ccb27db1a9e9cb8baefa7fff2e4e20520d8797ea5f5b3cb70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004763", "prompt": "Find x: 23x + 82527 = 33(x + 2079) + 14630", "solution_steps": ["Expand: 23x + 82527 = 33x + 68607 + 14630", "Combine constants: 23x + 82527 = 33x + 83237", "Subtract 33x from both sides: -10x + 82527 = 83237", "Subtract 82527 from both sides: -10x = 710", "Divide both sides by -10: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 82527 = 33(x + 2079) + 14630", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 82527, \"c\": 33, \"d\": 2079, \"f\": 14630, \"x\": -71}", "seed": "9227924605186461471", "semantic_fingerprint": "sha256:0c46843a8ffdb52662c4997cfb924643041fa8a7a33f121c5cf2e9492db7ef39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004764", "prompt": "What is (-5579 + (79763 + (-8616))) / 7576?", "solution_steps": ["Add: 79763 + (-8616) = 71147", "Add: -5579 + 71147 = 65568", "Divide: 65568 / 7576 = 8196/947"], "final_answer": "8196/947", "answer_type": "rational", "kind": "expression", "math_text": "(-5579 + (79763 + (-8616))) / 7576", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5579, \"b\": 79763, \"c\": -8616, \"d\": 7576}", "seed": "16058423773566092966", "semantic_fingerprint": "sha256:1188e556c7fa9d7c4bbb10bedd0545c535bffec2c7ad3ef8384e0a4529b51195", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004765", "prompt": "What value of x satisfies x + 7051 = 34(x - 6286)?", "solution_steps": ["Expand: x + 7051 = 34x - 213724", "Subtract 34x from both sides: -33x + 7051 = -213724", "Subtract 7051 from both sides: -33x = -220775", "Divide both sides by -33: x = 220775/33"], "final_answer": "220775/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7051 = 34(x - 6286)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7051, \"b\": 34, \"c\": 6286}", "seed": "13683444968604447727", "semantic_fingerprint": "sha256:08bfc7c45c297cabac18b92bfc882581aae232f7d4233e578511a29b149200fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004766", "prompt": "Calculate: (-32180 - (-2713) - (-4327)) / (-30623 + 5028)", "solution_steps": ["Subtract: -32180 - (-2713) = -29467", "Subtract: -29467 - (-4327) = -25140", "Add: -30623 + 5028 = -25595", "Divide: -25140 / (-25595) = 5028/5119"], "final_answer": "5028/5119", "answer_type": "rational", "kind": "expression", "math_text": "(-32180 - (-2713) - (-4327)) / (-30623 + 5028)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32180, \"b\": -2713, \"c\": -4327, \"d\": -30623, \"e\": 5028}", "seed": "3956885507273994510", "semantic_fingerprint": "sha256:f7301954f51127c771b1cc1e87cf455058338c480f93b5779e3c2e83611a9284", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004767", "prompt": "Evaluate: 2514 - 2234 + (-3076 + (-19220) + 79392)", "solution_steps": ["Subtract: 2514 - 2234 = 280", "Add: -3076 + (-19220) = -22296", "Add: -22296 + 79392 = 57096", "Add: 280 + 57096 = 57376"], "final_answer": "57376", "answer_type": "integer", "kind": "expression", "math_text": "2514 - 2234 + (-3076 + (-19220) + 79392)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2514, \"b\": 2234, \"c\": -3076, \"d\": -19220, \"e\": 79392}", "seed": "14193819412753291915", "semantic_fingerprint": "sha256:9cecda7dfae8947d8b9877ac8ddc1bcc2d47d8b92b3a11f13e1c523c347c9140", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004768", "prompt": "Solve for x: 22x = 13x + 1296", "solution_steps": ["Subtract 13x from both sides: 9x = 1296", "Divide both sides by 9: x = 144"], "final_answer": "144", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x = 13x + 1296", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 13, \"d\": 1296, \"x\": 144}", "seed": "4083559426431421223", "semantic_fingerprint": "sha256:e004e2bc9d47c7afe3f6b8df5de8303507d7f7ae061d8d20f5edcda8dab3e3fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004769", "prompt": "Compute: -3999 + 12691", "solution_steps": ["Add: -3999 + 12691 = 8692"], "final_answer": "8692", "answer_type": "integer", "kind": "expression", "math_text": "-3999 + 12691", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3999, \"b\": 12691}", "seed": "2242508805084309777", "semantic_fingerprint": "sha256:08c1784211ec7eb1f7c358e316bfa01e89de1af85d87f3ab2d81c510b8a83747", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004770", "prompt": "What value of x satisfies 21(x + 5718) + 7200 = 29x?", "solution_steps": ["Expand: 21x + 120078 + 7200 = 29x", "Combine constants: 21x + 127278 = 29x", "Subtract 29x from both sides: -8x + 127278 = 0", "Subtract 127278 from both sides: -8x = -127278", "Divide both sides by -8: x = 63639/4"], "final_answer": "63639/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 5718) + 7200 = 29x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 5718, \"c\": 7200, \"d\": 29}", "seed": "17089172894343889902", "semantic_fingerprint": "sha256:cd84fdc9e181f7dba38fa6a50ec2f90f15a9227ead84582285f32f363553f13d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004771", "prompt": "Calculate: (-95588 + (-6909)) / (-4218)", "solution_steps": ["Add: -95588 + (-6909) = -102497", "Divide: -102497 / (-4218) = 102497/4218"], "final_answer": "102497/4218", "answer_type": "rational", "kind": "expression", "math_text": "(-95588 + (-6909)) / (-4218)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95588, \"b\": -6909, \"c\": -4218}", "seed": "11000926544071178349", "semantic_fingerprint": "sha256:336635ccf2993710568fcb7276b29a55d301b8c6507e9e22ec1f13f0ab06169a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004772", "prompt": "Calculate: -7445 - (-8949)", "solution_steps": ["Subtract: -7445 - (-8949) = 1504"], "final_answer": "1504", "answer_type": "integer", "kind": "expression", "math_text": "-7445 - (-8949)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7445, \"b\": -8949}", "seed": "15020394521080832004", "semantic_fingerprint": "sha256:deec0880a6bfa2b2e3c8fffd6fc931d63e0397410af62ad5e4092548a39c55b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004773", "prompt": "Solve for x: 14(x - 65165) - 83952 = 19x", "solution_steps": ["Expand: 14x - 912310 - 83952 = 19x", "Combine constants: 14x - 996262 = 19x", "Subtract 19x from both sides: -5x - 996262 = 0", "Add 996262 to both sides: -5x = 996262", "Divide both sides by -5: x = -996262/5"], "final_answer": "-996262/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 65165) - 83952 = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 65165, \"c\": 83952, \"d\": 19}", "seed": "12522999430527209666", "semantic_fingerprint": "sha256:2c27224b9220252a10b781ce5f659eb7789f649bde6b3770c281057f8add6660", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004774", "prompt": "Compute: 9033 - (9306 + (-4772) + 7681)", "solution_steps": ["Add: 9306 + (-4772) = 4534", "Add: 4534 + 7681 = 12215", "Subtract: 9033 - 12215 = -3182"], "final_answer": "-3182", "answer_type": "integer", "kind": "expression", "math_text": "9033 - (9306 + (-4772) + 7681)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9033, \"b\": 9306, \"c\": -4772, \"d\": 7681}", "seed": "11856952468131382557", "semantic_fingerprint": "sha256:6c29fc39647910382e84228121a020335c024192736433eb130ab3782a458c50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004775", "prompt": "Solve for x: -15x = 22x - 1924", "solution_steps": ["Subtract 22x from both sides: -37x = -1924", "Divide both sides by -37: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x = 22x - 1924", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 22, \"d\": -1924, \"x\": 52}", "seed": "17389319282481422451", "semantic_fingerprint": "sha256:993011d2e4d9326ae4617db19cee36f61e62875cfad386e6795392959905c8c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004776", "prompt": "What value of x satisfies -31(x + 9757) - 88874 = 35(x + 5719) + 6695?", "solution_steps": ["Expand: -31x - 302467 - 88874 = 35(x + 5719) + 6695", "Expand: -31x - 302467 - 88874 = 35x + 200165 + 6695", "Combine constants: -31x - 391341 = 35x + 200165 + 6695", "Combine constants: -31x - 391341 = 35x + 206860", "Subtract 35x from both sides: -66x - 391341 = 206860", "Add 391341 to both sides: -66x = 598201", "Divide both sides by -66: x = -598201/66"], "final_answer": "-598201/66", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 9757) - 88874 = 35(x + 5719) + 6695", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 9757, \"c\": 88874, \"d\": 35, \"e\": 5719, \"f\": 6695}", "seed": "14435412029247855620", "semantic_fingerprint": "sha256:96cd66121f0a33dd74c883852a80833581b987ac123f99bfb50600ba6bd9a942", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004777", "prompt": "Solve the equation x = -16(x - 7925) for x.", "solution_steps": ["Expand: x = -16x + 126800", "Add 16x to both sides: 17x = 126800", "Divide both sides by 17: x = 126800/17"], "final_answer": "126800/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -16(x - 7925)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 7925}", "seed": "10512092407206271509", "semantic_fingerprint": "sha256:1f7e9fe088200b963a1a5eb921cc7b2fe80ad533ae5414b542d80735d78cb2b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004778", "prompt": "Calculate: 5717 - 8899 + 1987", "solution_steps": ["Subtract: 5717 - 8899 = -3182", "Add: -3182 + 1987 = -1195"], "final_answer": "-1195", "answer_type": "integer", "kind": "expression", "math_text": "5717 - 8899 + 1987", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5717, \"b\": 8899, \"c\": 1987}", "seed": "15449697995507806166", "semantic_fingerprint": "sha256:16c636d983a9310123089377e2bf42b22b7832bef6225944448f03cbdcc3a716", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004779", "prompt": "Compute: -9360 * 8384 - (-3617) + (-3598)", "solution_steps": ["Multiply: -9360 * 8384 = -78474240", "Subtract: -78474240 - (-3617) = -78470623", "Add: -78470623 + (-3598) = -78474221"], "final_answer": "-78474221", "answer_type": "integer", "kind": "expression", "math_text": "-9360 * 8384 - (-3617) + (-3598)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9360, \"b\": 8384, \"c\": -3617, \"d\": -3598}", "seed": "5529071999898406770", "semantic_fingerprint": "sha256:7559998d290d0c1c375fa1b517a2e1ecd3ec77d09df221265d0d84b2298141bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004780", "prompt": "Calculate: (-7963 - 61473) / (-3549)", "solution_steps": ["Subtract: -7963 - 61473 = -69436", "Divide: -69436 / (-3549) = 69436/3549"], "final_answer": "69436/3549", "answer_type": "rational", "kind": "expression", "math_text": "(-7963 - 61473) / (-3549)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7963, \"b\": 61473, \"c\": -3549}", "seed": "2406526218778116146", "semantic_fingerprint": "sha256:b7f7165d33318f7472d42650f952f35bf5703ed40763e3d7a078f9d93b90aa73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004781", "prompt": "Solve the equation 30(x + 1010) + 3172 = x - 19051 for x.", "solution_steps": ["Expand: 30x + 30300 + 3172 = x - 19051", "Combine constants: 30x + 33472 = x - 19051", "Subtract x from both sides: 29x + 33472 = -19051", "Subtract 33472 from both sides: 29x = -52523", "Divide both sides by 29: x = -52523/29"], "final_answer": "-52523/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 1010) + 3172 = x - 19051", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1010, \"c\": 3172, \"d\": 19051}", "seed": "13816273636678502984", "semantic_fingerprint": "sha256:0366bf651bd36e782424224e49e2e2192953827ee69258d4744cd7e0f5f14403", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004782", "prompt": "Calculate: 28878 + (-9268) + 2473", "solution_steps": ["Add: 28878 + (-9268) = 19610", "Add: 19610 + 2473 = 22083"], "final_answer": "22083", "answer_type": "integer", "kind": "expression", "math_text": "28878 + (-9268) + 2473", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28878, \"b\": -9268, \"c\": 2473}", "seed": "17145927473273219954", "semantic_fingerprint": "sha256:7deaebc06d83538673f5aaa5589f8c89bc541006b9b180fd15f144dba8521c3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004783", "prompt": "What value of x satisfies 16(x - 9102) + 1687 = 32(x - 3226) - 41833?", "solution_steps": ["Expand: 16x - 145632 + 1687 = 32(x - 3226) - 41833", "Expand: 16x - 145632 + 1687 = 32x - 103232 - 41833", "Combine constants: 16x - 143945 = 32x - 103232 - 41833", "Combine constants: 16x - 143945 = 32x - 145065", "Subtract 32x from both sides: -16x - 143945 = -145065", "Add 143945 to both sides: -16x = -1120", "Divide both sides by -16: x = 70"], "final_answer": "70", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 9102) + 1687 = 32(x - 3226) - 41833", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 9102, \"c\": 1687, \"d\": 32, \"e\": 3226, \"g\": -41833, \"x\": 70}", "seed": "14122525408413789796", "semantic_fingerprint": "sha256:dc28cd541df2282695c0848a93d82820091af6763d66e1f4879282f6e218eb23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004784", "prompt": "Calculate: -53529 + (-68703) - (-1827)", "solution_steps": ["Add: -53529 + (-68703) = -122232", "Subtract: -122232 - (-1827) = -120405"], "final_answer": "-120405", "answer_type": "integer", "kind": "expression", "math_text": "-53529 + (-68703) - (-1827)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53529, \"b\": -68703, \"c\": -1827}", "seed": "3057541573437826977", "semantic_fingerprint": "sha256:c607a8c37cfcdc585008f0cb93ad0f74bcfbdf71927265416107b1b63b5f2ba0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004785", "prompt": "Find x: -33(x - 42902) = 17(x - 1172)", "solution_steps": ["Expand: -33x + 1415766 = 17(x - 1172)", "Expand: -33x + 1415766 = 17x - 19924", "Subtract 17x from both sides: -50x + 1415766 = -19924", "Subtract 1415766 from both sides: -50x = -1435690", "Divide both sides by -50: x = 143569/5"], "final_answer": "143569/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 42902) = 17(x - 1172)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 42902, \"c\": 17, \"d\": 1172}", "seed": "7787883099969711769", "semantic_fingerprint": "sha256:6d3216eb10aefc3c279fb084a1d98e3e4411937985f4172a6ba053bee493f024", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004786", "prompt": "Compute: (3093 - (-76849)) / (-5314 - 21890)", "solution_steps": ["Subtract: 3093 - (-76849) = 79942", "Subtract: -5314 - 21890 = -27204", "Divide: 79942 / (-27204) = -39971/13602"], "final_answer": "-39971/13602", "answer_type": "rational", "kind": "expression", "math_text": "(3093 - (-76849)) / (-5314 - 21890)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3093, \"b\": -76849, \"c\": -5314, \"d\": 21890}", "seed": "11293553115859311957", "semantic_fingerprint": "sha256:27b5a7853e630278b66e03b15408de36a98d6fa33419aad9f7f65ae59eff04ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004787", "prompt": "What is 3450 + (-5275) / 2937?", "solution_steps": ["Divide: -5275 / 2937 = -5275/2937", "Add: 3450 + (-5275/2937) = 10127375/2937"], "final_answer": "10127375/2937", "answer_type": "rational", "kind": "expression", "math_text": "3450 + (-5275) / 2937", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3450, \"b\": -5275, \"c\": 2937}", "seed": "10440612948922144320", "semantic_fingerprint": "sha256:b7281b4825648c86125a799ceb176e0ec50d0462a3c3155bb656edf98ca544e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004788", "prompt": "Evaluate: -53128 * 78787 - 44568", "solution_steps": ["Multiply: -53128 * 78787 = -4185795736", "Subtract: -4185795736 - 44568 = -4185840304"], "final_answer": "-4185840304", "answer_type": "integer", "kind": "expression", "math_text": "-53128 * 78787 - 44568", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53128, \"b\": 78787, \"c\": 44568}", "seed": "828872258221260266", "semantic_fingerprint": "sha256:943fef60c7c4845670fdbec4431df76fbb14e132ed1930b2668d7726567341ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004789", "prompt": "Find x: x = 35x + 5474", "solution_steps": ["Subtract 35x from both sides: -34x = 5474", "Divide both sides by -34: x = -161"], "final_answer": "-161", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 35x + 5474", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"c\": 5474, \"x\": -161}", "seed": "17526581742951405523", "semantic_fingerprint": "sha256:dfeb00d58b80861252fcdbfa472fed66b008d26d7c41fd7a3f508783d2c0088b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004790", "prompt": "Evaluate: (37941 + 54338) / (-8084)", "solution_steps": ["Add: 37941 + 54338 = 92279", "Divide: 92279 / (-8084) = -92279/8084"], "final_answer": "-92279/8084", "answer_type": "rational", "kind": "expression", "math_text": "(37941 + 54338) / (-8084)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37941, \"b\": 54338, \"c\": -8084}", "seed": "6469345709915182265", "semantic_fingerprint": "sha256:98406896210fef1d6884c781b8a60c65b8b535176eabfbf3235cc226e9815473", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004791", "prompt": "What value of x satisfies 23x + 3904 = 38(x + 2289)?", "solution_steps": ["Expand: 23x + 3904 = 38x + 86982", "Subtract 38x from both sides: -15x + 3904 = 86982", "Subtract 3904 from both sides: -15x = 83078", "Divide both sides by -15: x = -83078/15"], "final_answer": "-83078/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 3904 = 38(x + 2289)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3904, \"c\": 38, \"d\": 2289}", "seed": "4022779680119353843", "semantic_fingerprint": "sha256:d78cd12575a1d45eeb591ed5dd08523d2b0beb6694d75dc51e52635140b376ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004792", "prompt": "Find x: 13x + 6750 = 27(x - 8672) - 57587", "solution_steps": ["Expand: 13x + 6750 = 27x - 234144 - 57587", "Combine constants: 13x + 6750 = 27x - 291731", "Subtract 27x from both sides: -14x + 6750 = -291731", "Subtract 6750 from both sides: -14x = -298481", "Divide both sides by -14: x = 298481/14"], "final_answer": "298481/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 6750 = 27(x - 8672) - 57587", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6750, \"c\": 27, \"d\": 8672, \"e\": 57587}", "seed": "12958643260096018249", "semantic_fingerprint": "sha256:2dce928386878e48876db021f7b3d5b067fa2c32be9773c6db3939adafc5da09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004793", "prompt": "Find x: -32x = 25x + 6042", "solution_steps": ["Subtract 25x from both sides: -57x = 6042", "Divide both sides by -57: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x = 25x + 6042", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 25, \"d\": 6042, \"x\": -106}", "seed": "6498450571484013595", "semantic_fingerprint": "sha256:c00d5c9e1c2910167a3f4450aee55a5aabccad1899e0726bc54ce96785637c82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004794", "prompt": "Evaluate: 9662 / 8023 - (-61929)", "solution_steps": ["Divide: 9662 / 8023 = 9662/8023", "Subtract: 9662/8023 - (-61929) = 496866029/8023"], "final_answer": "496866029/8023", "answer_type": "rational", "kind": "expression", "math_text": "9662 / 8023 - (-61929)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9662, \"b\": 8023, \"c\": -61929}", "seed": "13712788795626918629", "semantic_fingerprint": "sha256:21e9e60e38d1c52ead046e0a692115cd3aa40dd9dd2a86daf63453c752f1e973", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004795", "prompt": "Find x: 18x = 14(x - 2213)", "solution_steps": ["Expand: 18x = 14x - 30982", "Subtract 14x from both sides: 4x = -30982", "Divide both sides by 4: x = -15491/2"], "final_answer": "-15491/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = 14(x - 2213)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 14, \"c\": 2213}", "seed": "6049359558797555400", "semantic_fingerprint": "sha256:24b063ccbf6b20588112b3bdce837b60edab74798b3c9b3569ff736a9385db43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004796", "prompt": "Calculate: 7498 * (-4939)", "solution_steps": ["Multiply: 7498 * (-4939) = -37032622"], "final_answer": "-37032622", "answer_type": "integer", "kind": "expression", "math_text": "7498 * (-4939)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7498, \"b\": -4939}", "seed": "2781056349278489753", "semantic_fingerprint": "sha256:856539969d6a23dcb02b3404cdc44ad50dd46c6a6e545128119cf69dfe355cee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004797", "prompt": "Solve for x: 23x + 5925 = x - 2018", "solution_steps": ["Subtract x from both sides: 22x + 5925 = -2018", "Subtract 5925 from both sides: 22x = -7943", "Divide both sides by 22: x = -7943/22"], "final_answer": "-7943/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 5925 = x - 2018", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5925, \"c\": 2018}", "seed": "13168176497171654428", "semantic_fingerprint": "sha256:ebec857a0c786c9cc49ac44dcdfd5dd0be57c333fa9853424dee69bee8060bb0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004798", "prompt": "What value of x satisfies -39x + 4895 = 14(x + 2525) - 35755?", "solution_steps": ["Expand: -39x + 4895 = 14x + 35350 - 35755", "Combine constants: -39x + 4895 = 14x - 405", "Subtract 14x from both sides: -53x + 4895 = -405", "Subtract 4895 from both sides: -53x = -5300", "Divide both sides by -53: x = 100"], "final_answer": "100", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x + 4895 = 14(x + 2525) - 35755", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 4895, \"c\": 14, \"d\": 2525, \"f\": -35755, \"x\": 100}", "seed": "1160805838559838364", "semantic_fingerprint": "sha256:cef4440295ad4308d47ead4fc6796b56359e84e7ced9d1a5e2160f76438d99d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004799", "prompt": "What is -3134 * (-8311) + 6994?", "solution_steps": ["Multiply: -3134 * (-8311) = 26046674", "Add: 26046674 + 6994 = 26053668"], "final_answer": "26053668", "answer_type": "integer", "kind": "expression", "math_text": "-3134 * (-8311) + 6994", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3134, \"b\": -8311, \"c\": 6994}", "seed": "16362224223888663966", "semantic_fingerprint": "sha256:8a4fed0228546ce7b50abcb1e59808eb572f699b39630ac37115c25f05853f9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004800", "prompt": "What is -6280 - 77787 + (-9799)?", "solution_steps": ["Subtract: -6280 - 77787 = -84067", "Add: -84067 + (-9799) = -93866"], "final_answer": "-93866", "answer_type": "integer", "kind": "expression", "math_text": "-6280 - 77787 + (-9799)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6280, \"b\": 77787, \"c\": -9799}", "seed": "12980448248218283239", "semantic_fingerprint": "sha256:7af3a538b0255a24ff8564b828dabe94bcfb4da06ab33675538154628961c110", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004801", "prompt": "Compute: -23007 + 4776", "solution_steps": ["Add: -23007 + 4776 = -18231"], "final_answer": "-18231", "answer_type": "integer", "kind": "expression", "math_text": "-23007 + 4776", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23007, \"b\": 4776}", "seed": "2126572373893724312", "semantic_fingerprint": "sha256:27cf485ff787183e4dab593d8c9ebe7b9929fc8dd4dba9b32ab0934613cc412f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004802", "prompt": "Evaluate: 8709 + (-9104 + (-3522))", "solution_steps": ["Add: -9104 + (-3522) = -12626", "Add: 8709 + (-12626) = -3917"], "final_answer": "-3917", "answer_type": "integer", "kind": "expression", "math_text": "8709 + (-9104 + (-3522))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8709, \"b\": -9104, \"c\": -3522}", "seed": "8612123523516930856", "semantic_fingerprint": "sha256:db192cacb8bbe4d69990a97d12942d0328b4b575bc55da7011051484a78814f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004803", "prompt": "What value of x satisfies 39x = -27x?", "solution_steps": ["Add 27x to both sides: 66x = 0", "Divide both sides by 66: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = -27x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": -27}", "seed": "16068297993127448521", "semantic_fingerprint": "sha256:85229d403b65cdd5de1de9c57dcf548ff603734b126404894e89ab79bcce62b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004804", "prompt": "Calculate: -9662 - (75758 + (-27146 + (7031 - 48813)) / 36009)", "solution_steps": ["Subtract: 7031 - 48813 = -41782", "Add: -27146 + (-41782) = -68928", "Divide: -68928 / 36009 = -22976/12003", "Add: 75758 + (-22976/12003) = 909300298/12003", "Subtract: -9662 - 909300298/12003 = -1025273284/12003"], "final_answer": "-1025273284/12003", "answer_type": "rational", "kind": "expression", "math_text": "-9662 - (75758 + (-27146 + (7031 - 48813)) / 36009)", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (/ (+ n (- n n)) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9662, \"b\": 75758, \"c\": -27146, \"d\": 7031, \"e\": 48813, \"f\": 36009}", "seed": "3013917435274991267", "semantic_fingerprint": "sha256:3bafee331c2b572e9ec28593b15a7566b4aab0536495ca16dfd2db3b988429de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004805", "prompt": "Calculate: -1292 / (6622 / (-41776))", "solution_steps": ["Divide: 6622 / (-41776) = -473/2984", "Divide: -1292 / (-473/2984) = 3855328/473"], "final_answer": "3855328/473", "answer_type": "rational", "kind": "expression", "math_text": "-1292 / (6622 / (-41776))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1292, \"b\": 6622, \"c\": -41776}", "seed": "4904957252889085359", "semantic_fingerprint": "sha256:94be23c1a6698132c1c8e822f077bb6e94b8699fd565bfdcef4cc25f5f03ce0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004806", "prompt": "What is -9010 - (38152 - (-14593 + (-74641) + 5277))?", "solution_steps": ["Add: -14593 + (-74641) = -89234", "Add: -89234 + 5277 = -83957", "Subtract: 38152 - (-83957) = 122109", "Subtract: -9010 - 122109 = -131119"], "final_answer": "-131119", "answer_type": "integer", "kind": "expression", "math_text": "-9010 - (38152 - (-14593 + (-74641) + 5277))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9010, \"b\": 38152, \"c\": -14593, \"d\": -74641, \"e\": 5277}", "seed": "2278724763544633881", "semantic_fingerprint": "sha256:b59af4456ef8314a10b7ec6fd5d84e64035986e4c63e7e3a4ce775ed7b4c87a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004807", "prompt": "Find x: -22(x + 1262) + 3036 = 28(x - 20748) + 7614", "solution_steps": ["Expand: -22x - 27764 + 3036 = 28(x - 20748) + 7614", "Expand: -22x - 27764 + 3036 = 28x - 580944 + 7614", "Combine constants: -22x - 24728 = 28x - 580944 + 7614", "Combine constants: -22x - 24728 = 28x - 573330", "Subtract 28x from both sides: -50x - 24728 = -573330", "Add 24728 to both sides: -50x = -548602", "Divide both sides by -50: x = 274301/25"], "final_answer": "274301/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x + 1262) + 3036 = 28(x - 20748) + 7614", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 1262, \"c\": 3036, \"d\": 28, \"e\": 20748, \"f\": 7614}", "seed": "2906521760184344939", "semantic_fingerprint": "sha256:ba491cb37f7d75933c7490d3f5ae4eec317464cf54b56e3bec26b78ad4e13c52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004808", "prompt": "Find x: 40x = x + 3276", "solution_steps": ["Subtract x from both sides: 39x = 3276", "Divide both sides by 39: x = 84"], "final_answer": "84", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = x + 3276", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": 3276, \"x\": 84}", "seed": "16201765736177655135", "semantic_fingerprint": "sha256:2728e26a067a44f4426e7cbd579ef93c97d8d7f83d885285a1db7aa96c66c177", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004809", "prompt": "Solve for x: x - 2190 = 34(x - 75015) - 54777", "solution_steps": ["Expand: x - 2190 = 34x - 2550510 - 54777", "Combine constants: x - 2190 = 34x - 2605287", "Subtract 34x from both sides: -33x - 2190 = -2605287", "Add 2190 to both sides: -33x = -2603097", "Divide both sides by -33: x = 867699/11"], "final_answer": "867699/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2190 = 34(x - 75015) - 54777", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2190, \"b\": 34, \"c\": 75015, \"d\": 54777}", "seed": "15045208694801503868", "semantic_fingerprint": "sha256:6c5ccf073d41437f850c935e6c5034676f8db8554d16501472fe9c7451253ecd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004810", "prompt": "Evaluate: 7234 * 3231 / (6951 + (-4615) + (-6565) + (-2217))", "solution_steps": ["Multiply: 7234 * 3231 = 23373054", "Add: 6951 + (-4615) = 2336", "Add: 2336 + (-6565) = -4229", "Add: -4229 + (-2217) = -6446", "Divide: 23373054 / (-6446) = -11686527/3223"], "final_answer": "-11686527/3223", "answer_type": "rational", "kind": "expression", "math_text": "7234 * 3231 / (6951 + (-4615) + (-6565) + (-2217))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7234, \"b\": 3231, \"c\": 6951, \"d\": -4615, \"e\": -6565, \"f\": -2217}", "seed": "1766420566314492012", "semantic_fingerprint": "sha256:4562fef70d9e1a4886106ee334fca3a7f2bfdfc7cfca7f84e49b15b39606eb61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004811", "prompt": "Solve the equation 36x = 24(x - 8843) - 8095 for x.", "solution_steps": ["Expand: 36x = 24x - 212232 - 8095", "Combine constants: 36x = 24x - 220327", "Subtract 24x from both sides: 12x = -220327", "Divide both sides by 12: x = -220327/12"], "final_answer": "-220327/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x = 24(x - 8843) - 8095", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 24, \"c\": 8843, \"d\": 8095}", "seed": "12908421349929600378", "semantic_fingerprint": "sha256:014660221d5f9c4542bb9b7962747c9a2dc1da080b21bd27f63541c4ba931dfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004812", "prompt": "Evaluate: 1067 * (-85558) / 6373 * 5318 - 1651", "solution_steps": ["Multiply: 1067 * (-85558) = -91290386", "Divide: -91290386 / 6373 = -91290386/6373", "Multiply: (-91290386/6373) * 5318 = -485482272748/6373", "Subtract: -485482272748/6373 - 1651 = -485492794571/6373"], "final_answer": "-485492794571/6373", "answer_type": "rational", "kind": "expression", "math_text": "1067 * (-85558) / 6373 * 5318 - 1651", "variable": null, "family": "expression_4op", "shape": "(- (* (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1067, \"b\": -85558, \"c\": 6373, \"d\": 5318, \"e\": 1651}", "seed": "6535604615310583220", "semantic_fingerprint": "sha256:43f2403f1a05f65365f675809dbbaabac618fcacef4ac40b765648dfa3c64471", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004813", "prompt": "What is -27352 / (31290 + 3605)?", "solution_steps": ["Add: 31290 + 3605 = 34895", "Divide: -27352 / 34895 = -27352/34895"], "final_answer": "-27352/34895", "answer_type": "rational", "kind": "expression", "math_text": "-27352 / (31290 + 3605)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27352, \"b\": 31290, \"c\": 3605}", "seed": "6684462659161588652", "semantic_fingerprint": "sha256:3683a37db925af7f50ac5adb25d8ab9e74d5bfaa064dc0204b05da59ae982361", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004814", "prompt": "What is (-19532 + (-2079)) / 3147 - 90856 - 34727?", "solution_steps": ["Add: -19532 + (-2079) = -21611", "Divide: -21611 / 3147 = -21611/3147", "Subtract: -21611/3147 - 90856 = -285945443/3147", "Subtract: -285945443/3147 - 34727 = -395231312/3147"], "final_answer": "-395231312/3147", "answer_type": "rational", "kind": "expression", "math_text": "(-19532 + (-2079)) / 3147 - 90856 - 34727", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19532, \"b\": -2079, \"c\": 3147, \"d\": 90856, \"e\": 34727}", "seed": "5777296302140188479", "semantic_fingerprint": "sha256:9d2dcfe5e2ce1c8d8bf14fefe7db51d58a6d1acaf2375a29b8dcd8f1927c4b6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004815", "prompt": "Calculate: (-6368 - (-7408)) * (50678 + (-75664)) * (16140 / 9527)", "solution_steps": ["Subtract: -6368 - (-7408) = 1040", "Add: 50678 + (-75664) = -24986", "Multiply: 1040 * (-24986) = -25985440", "Divide: 16140 / 9527 = 16140/9527", "Multiply: -25985440 * (16140/9527) = -419405001600/9527"], "final_answer": "-419405001600/9527", "answer_type": "rational", "kind": "expression", "math_text": "(-6368 - (-7408)) * (50678 + (-75664)) * (16140 / 9527)", "variable": null, "family": "expression_5op", "shape": "(* (* (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6368, \"b\": -7408, \"c\": 50678, \"d\": -75664, \"e\": 16140, \"f\": 9527}", "seed": "12522916714060492390", "semantic_fingerprint": "sha256:dbe30d772105bffe7eeb4487a067218c8a930b95ad2b6eb6184388317aa4567f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004816", "prompt": "Calculate: 8181 * 9887", "solution_steps": ["Multiply: 8181 * 9887 = 80885547"], "final_answer": "80885547", "answer_type": "integer", "kind": "expression", "math_text": "8181 * 9887", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8181, \"b\": 9887}", "seed": "15113977322420909762", "semantic_fingerprint": "sha256:916c70f8063e592b8ab2f10b1ed866789c8764bfb2dd0d086b023e1e6ccf9f4a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004817", "prompt": "What value of x satisfies 20(x - 89455) = 34(x - 3568)?", "solution_steps": ["Expand: 20x - 1789100 = 34(x - 3568)", "Expand: 20x - 1789100 = 34x - 121312", "Subtract 34x from both sides: -14x - 1789100 = -121312", "Add 1789100 to both sides: -14x = 1667788", "Divide both sides by -14: x = -833894/7"], "final_answer": "-833894/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 89455) = 34(x - 3568)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 89455, \"c\": 34, \"d\": 3568}", "seed": "953382251055192665", "semantic_fingerprint": "sha256:d89c356e5a20d03640e9fd486278ad50bae308ebe728af3520ca6f2ff6baf695", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004818", "prompt": "Calculate: -38755 * (-7520 + (-6618))", "solution_steps": ["Add: -7520 + (-6618) = -14138", "Multiply: -38755 * (-14138) = 547918190"], "final_answer": "547918190", "answer_type": "integer", "kind": "expression", "math_text": "-38755 * (-7520 + (-6618))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38755, \"b\": -7520, \"c\": -6618}", "seed": "15312846697901816843", "semantic_fingerprint": "sha256:9b5e52083d930808a686ae9d3945f53a87dfef1fc933031b7fbce38216a59f87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004819", "prompt": "What value of x satisfies x + 21122 = -14(x - 6653) - 73160?", "solution_steps": ["Expand: x + 21122 = -14x + 93142 - 73160", "Combine constants: x + 21122 = -14x + 19982", "Add 14x to both sides: 15x + 21122 = 19982", "Subtract 21122 from both sides: 15x = -1140", "Divide both sides by 15: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 21122 = -14(x - 6653) - 73160", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21122, \"b\": -14, \"c\": 6653, \"e\": -73160, \"x\": -76}", "seed": "5958196815147426466", "semantic_fingerprint": "sha256:4621a8fbc9b533b359b8c3c631751c678946d24f727fe4ca2301074e2d0a059f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004820", "prompt": "Evaluate: 7398 - 16920", "solution_steps": ["Subtract: 7398 - 16920 = -9522"], "final_answer": "-9522", "answer_type": "integer", "kind": "expression", "math_text": "7398 - 16920", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7398, \"b\": 16920}", "seed": "9731953476146537493", "semantic_fingerprint": "sha256:0b858e91028bb54c1d02dc6742de358f6cfc5fa77660c7e6b9cd93d1fe787c8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004821", "prompt": "Calculate: -7508 + 43713 - (-37409)", "solution_steps": ["Add: -7508 + 43713 = 36205", "Subtract: 36205 - (-37409) = 73614"], "final_answer": "73614", "answer_type": "integer", "kind": "expression", "math_text": "-7508 + 43713 - (-37409)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7508, \"b\": 43713, \"c\": -37409}", "seed": "3608460263074707464", "semantic_fingerprint": "sha256:3060b6470b7846e908cd11ef046c258ecfdeb7547b016ad12debab859464021b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004822", "prompt": "Evaluate: -1617 / 26865 * (-1803 + (-1468))", "solution_steps": ["Divide: -1617 / 26865 = -539/8955", "Add: -1803 + (-1468) = -3271", "Multiply: (-539/8955) * (-3271) = 1763069/8955"], "final_answer": "1763069/8955", "answer_type": "rational", "kind": "expression", "math_text": "-1617 / 26865 * (-1803 + (-1468))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1617, \"b\": 26865, \"c\": -1803, \"d\": -1468}", "seed": "11714653228019503758", "semantic_fingerprint": "sha256:125cb55c0b647633c671939adef315db62249072541665c5f98458675cf80ed3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004823", "prompt": "Calculate: 6684 + (95487 - 9397)", "solution_steps": ["Subtract: 95487 - 9397 = 86090", "Add: 6684 + 86090 = 92774"], "final_answer": "92774", "answer_type": "integer", "kind": "expression", "math_text": "6684 + (95487 - 9397)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6684, \"b\": 95487, \"c\": 9397}", "seed": "14307376796421716296", "semantic_fingerprint": "sha256:e99a7f8f8507e8f6e46d4e9913b107b775a4ca903b626bdd5b2630a0094de7fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004824", "prompt": "Solve the equation 21x + 2820 = x for x.", "solution_steps": ["Subtract x from both sides: 20x + 2820 = 0", "Subtract 2820 from both sides: 20x = -2820", "Divide both sides by 20: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 2820 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"c\": 2820, \"x\": -141}", "seed": "3256582633637949010", "semantic_fingerprint": "sha256:e7c573f41d56882877a6139091ac389e4c11669d2be58a2e8f233c59d6f7c9b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004825", "prompt": "Compute: -3919 / (92530 + (-68396))", "solution_steps": ["Add: 92530 + (-68396) = 24134", "Divide: -3919 / 24134 = -3919/24134"], "final_answer": "-3919/24134", "answer_type": "rational", "kind": "expression", "math_text": "-3919 / (92530 + (-68396))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3919, \"b\": 92530, \"c\": -68396}", "seed": "6365090062603673134", "semantic_fingerprint": "sha256:905ceaa123e51f1e239c9978d4d65148168c1a887c24b03321d89a27b4712bd9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004826", "prompt": "Solve the equation x - 33689 = -30x - 39300 for x.", "solution_steps": ["Add 30x to both sides: 31x - 33689 = -39300", "Add 33689 to both sides: 31x = -5611", "Divide both sides by 31: x = -181"], "final_answer": "-181", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 33689 = -30x - 39300", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33689, \"b\": -30, \"d\": -39300, \"x\": -181}", "seed": "7964485462299228854", "semantic_fingerprint": "sha256:7d0b4a69e4ae6ed888520d6aae0d0e3e34ada85f92faee9e16399cf19a0be28c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004827", "prompt": "Evaluate: (64254 - 5970) * (-8951)", "solution_steps": ["Subtract: 64254 - 5970 = 58284", "Multiply: 58284 * (-8951) = -521700084"], "final_answer": "-521700084", "answer_type": "integer", "kind": "expression", "math_text": "(64254 - 5970) * (-8951)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64254, \"b\": 5970, \"c\": -8951}", "seed": "16724487942316474430", "semantic_fingerprint": "sha256:7b865f52073e765016bff0bfb406e46687629803d8020dc5e52603356784dcbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004828", "prompt": "Evaluate: (-1268 - (-85604 + 97833) + (-6427)) * (-82138)", "solution_steps": ["Add: -85604 + 97833 = 12229", "Subtract: -1268 - 12229 = -13497", "Add: -13497 + (-6427) = -19924", "Multiply: -19924 * (-82138) = 1636517512"], "final_answer": "1636517512", "answer_type": "integer", "kind": "expression", "math_text": "(-1268 - (-85604 + 97833) + (-6427)) * (-82138)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1268, \"b\": -85604, \"c\": 97833, \"d\": -6427, \"e\": -82138}", "seed": "14377421098268113768", "semantic_fingerprint": "sha256:d079a9ed44a2a4c0312f2c54a9df8be88d7f1ff3d7413161dffa274d2a591cfe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004829", "prompt": "Solve the equation x - 82961 = -35x + 7858 for x.", "solution_steps": ["Add 35x to both sides: 36x - 82961 = 7858", "Add 82961 to both sides: 36x = 90819", "Divide both sides by 36: x = 10091/4"], "final_answer": "10091/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 82961 = -35x + 7858", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82961, \"b\": -35, \"c\": 7858}", "seed": "13534676073067964479", "semantic_fingerprint": "sha256:9af775a937b23b902655815b0df649b94732906231b87ee5ba829e26729afe8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004830", "prompt": "What is (-33319 + (-8994)) * (-8823)?", "solution_steps": ["Add: -33319 + (-8994) = -42313", "Multiply: -42313 * (-8823) = 373327599"], "final_answer": "373327599", "answer_type": "integer", "kind": "expression", "math_text": "(-33319 + (-8994)) * (-8823)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33319, \"b\": -8994, \"c\": -8823}", "seed": "7931949962575427456", "semantic_fingerprint": "sha256:5017f975653fad86f40b34a97352de8edd5c9e7148fd62ebffb6409e628af942", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004831", "prompt": "Evaluate: -4709 + (-4456 - 1326 - (-40364))", "solution_steps": ["Subtract: -4456 - 1326 = -5782", "Subtract: -5782 - (-40364) = 34582", "Add: -4709 + 34582 = 29873"], "final_answer": "29873", "answer_type": "integer", "kind": "expression", "math_text": "-4709 + (-4456 - 1326 - (-40364))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4709, \"b\": -4456, \"c\": 1326, \"d\": -40364}", "seed": "17201545856325302455", "semantic_fingerprint": "sha256:f98efc30c43c8696211d1a686bc84c71aed9c0c04184566af6522a52208cbeaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004832", "prompt": "What value of x satisfies x + 1575 = 26x?", "solution_steps": ["Subtract 26x from both sides: -25x + 1575 = 0", "Subtract 1575 from both sides: -25x = -1575", "Divide both sides by -25: x = 63"], "final_answer": "63", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1575 = 26x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"c\": 1575, \"x\": 63}", "seed": "2606258785285551695", "semantic_fingerprint": "sha256:e31c1103f2c3063a067b00fc6a0301945a9fc312e2de4ea6507b3f7886d94347", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004833", "prompt": "Evaluate: -68387 - (-90476 - 55768) - (-94550)", "solution_steps": ["Subtract: -90476 - 55768 = -146244", "Subtract: -68387 - (-146244) = 77857", "Subtract: 77857 - (-94550) = 172407"], "final_answer": "172407", "answer_type": "integer", "kind": "expression", "math_text": "-68387 - (-90476 - 55768) - (-94550)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -68387, \"b\": -90476, \"c\": 55768, \"d\": -94550}", "seed": "11127690988432335477", "semantic_fingerprint": "sha256:e171778313b5215844d4b36f71ada85fc2d7aeb35de848e2531cc60eaa8d9e26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004834", "prompt": "Calculate: 9720 * 6222", "solution_steps": ["Multiply: 9720 * 6222 = 60477840"], "final_answer": "60477840", "answer_type": "integer", "kind": "expression", "math_text": "9720 * 6222", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9720, \"b\": 6222}", "seed": "4798703833648424554", "semantic_fingerprint": "sha256:9f27c719a157d75bbf104034f5aed04010cd4eafb1f3a00cfc6aaff0a8dd210b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004835", "prompt": "What is (4874 + (-3133)) * (-6127 * (-43115))?", "solution_steps": ["Add: 4874 + (-3133) = 1741", "Multiply: -6127 * (-43115) = 264165605", "Multiply: 1741 * 264165605 = 459912318305"], "final_answer": "459912318305", "answer_type": "integer", "kind": "expression", "math_text": "(4874 + (-3133)) * (-6127 * (-43115))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4874, \"b\": -3133, \"c\": -6127, \"d\": -43115}", "seed": "4089331470753548151", "semantic_fingerprint": "sha256:32b2c30bfe4171fa29167df33e143deb2e94a02b8b955c140ac0fbbafd92174f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004836", "prompt": "What is -88669 - (-2411) - 1010?", "solution_steps": ["Subtract: -88669 - (-2411) = -86258", "Subtract: -86258 - 1010 = -87268"], "final_answer": "-87268", "answer_type": "integer", "kind": "expression", "math_text": "-88669 - (-2411) - 1010", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88669, \"b\": -2411, \"c\": 1010}", "seed": "9131475366293615781", "semantic_fingerprint": "sha256:7e7333d83832daccf2cc7b6dd5eef41627eeff7061d4fb8b2f43d38627c5a0f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004837", "prompt": "Find x: 34x + 1292 = -39x + 7418", "solution_steps": ["Add 39x to both sides: 73x + 1292 = 7418", "Subtract 1292 from both sides: 73x = 6126", "Divide both sides by 73: x = 6126/73"], "final_answer": "6126/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 1292 = -39x + 7418", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 1292, \"c\": -39, \"d\": 7418}", "seed": "5618256238699576092", "semantic_fingerprint": "sha256:879477bf1549f02e5fbc5f921065b5cd4e80d41bdcbbf04fb54c2ea28e811e12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004838", "prompt": "Find x: x + 6050 = 34(x + 15017) - 3761", "solution_steps": ["Expand: x + 6050 = 34x + 510578 - 3761", "Combine constants: x + 6050 = 34x + 506817", "Subtract 34x from both sides: -33x + 6050 = 506817", "Subtract 6050 from both sides: -33x = 500767", "Divide both sides by -33: x = -500767/33"], "final_answer": "-500767/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6050 = 34(x + 15017) - 3761", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6050, \"b\": 34, \"c\": 15017, \"d\": 3761}", "seed": "12970949835340884523", "semantic_fingerprint": "sha256:dff13a08f04a9b92448f019976bd22025f2b0112ad9bc97c5d3b2bb1955079ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004839", "prompt": "Evaluate: 3590 * (52021 + 97584) - 48789", "solution_steps": ["Add: 52021 + 97584 = 149605", "Multiply: 3590 * 149605 = 537081950", "Subtract: 537081950 - 48789 = 537033161"], "final_answer": "537033161", "answer_type": "integer", "kind": "expression", "math_text": "3590 * (52021 + 97584) - 48789", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3590, \"b\": 52021, \"c\": 97584, \"d\": 48789}", "seed": "9495815397914333065", "semantic_fingerprint": "sha256:8995df79fd53b12013e6b379b0f1b461dd88c87e743e25a810dd8b67bc5c3c2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004840", "prompt": "Evaluate: 5517 - (-72871) / 1758", "solution_steps": ["Divide: -72871 / 1758 = -72871/1758", "Subtract: 5517 - (-72871/1758) = 9771757/1758"], "final_answer": "9771757/1758", "answer_type": "rational", "kind": "expression", "math_text": "5517 - (-72871) / 1758", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5517, \"b\": -72871, \"c\": 1758}", "seed": "2507835863288155206", "semantic_fingerprint": "sha256:9131bbff165dc47bfc94358276d3b2c0c63ec84b708562e2f2cfc6f4ab873474", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004841", "prompt": "Evaluate: -81082 + 2634 / (-47298 + (-4684))", "solution_steps": ["Add: -47298 + (-4684) = -51982", "Divide: 2634 / (-51982) = -1317/25991", "Add: -81082 + (-1317/25991) = -2107403579/25991"], "final_answer": "-2107403579/25991", "answer_type": "rational", "kind": "expression", "math_text": "-81082 + 2634 / (-47298 + (-4684))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -81082, \"b\": 2634, \"c\": -47298, \"d\": -4684}", "seed": "1234569834138698853", "semantic_fingerprint": "sha256:5f3f4910a6f5e4817518f713ccb0efef6aa865e91c4b667ab889a1d65bcfbc40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004842", "prompt": "Compute: -3358 * (6939 / (6338 - (-96360)))", "solution_steps": ["Subtract: 6338 - (-96360) = 102698", "Divide: 6939 / 102698 = 6939/102698", "Multiply: -3358 * (6939/102698) = -11650581/51349"], "final_answer": "-11650581/51349", "answer_type": "rational", "kind": "expression", "math_text": "-3358 * (6939 / (6338 - (-96360)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3358, \"b\": 6939, \"c\": 6338, \"d\": -96360}", "seed": "1883181876150488286", "semantic_fingerprint": "sha256:5611d8d5cffa0e87e106dbd07936c0d2fb4582133d2883c5d83057959d9f6dae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004843", "prompt": "Compute: -2346 / 1238 * (7869 * (-14846))", "solution_steps": ["Divide: -2346 / 1238 = -1173/619", "Multiply: 7869 * (-14846) = -116823174", "Multiply: (-1173/619) * (-116823174) = 137033583102/619"], "final_answer": "137033583102/619", "answer_type": "rational", "kind": "expression", "math_text": "-2346 / 1238 * (7869 * (-14846))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2346, \"b\": 1238, \"c\": 7869, \"d\": -14846}", "seed": "9010951555194524831", "semantic_fingerprint": "sha256:752f0db145462f054094818237e286c2a255ccd55b0d2c56dc2e9eedf63bc81d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004844", "prompt": "What value of x satisfies 22(x + 64264) - 54509 = 39(x + 6075) - 7307?", "solution_steps": ["Expand: 22x + 1413808 - 54509 = 39(x + 6075) - 7307", "Expand: 22x + 1413808 - 54509 = 39x + 236925 - 7307", "Combine constants: 22x + 1359299 = 39x + 236925 - 7307", "Combine constants: 22x + 1359299 = 39x + 229618", "Subtract 39x from both sides: -17x + 1359299 = 229618", "Subtract 1359299 from both sides: -17x = -1129681", "Divide both sides by -17: x = 1129681/17"], "final_answer": "1129681/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 64264) - 54509 = 39(x + 6075) - 7307", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 64264, \"c\": 54509, \"d\": 39, \"e\": 6075, \"f\": 7307}", "seed": "12251988400681286616", "semantic_fingerprint": "sha256:b2dedbc1b1cd7852be52827b67c1d073608f65a1f926a998e99988b14510ecb6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004845", "prompt": "What value of x satisfies 30x = 34(x + 6541)?", "solution_steps": ["Expand: 30x = 34x + 222394", "Subtract 34x from both sides: -4x = 222394", "Divide both sides by -4: x = -111197/2"], "final_answer": "-111197/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = 34(x + 6541)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 34, \"c\": 6541}", "seed": "9262366089891294011", "semantic_fingerprint": "sha256:89705f863f4f2bdfc0e5f45289ab48cdfb951597cc2fd527931c861aec779d7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004846", "prompt": "Compute: -4603 + 80582 / (-9405) + 7411 + 9761", "solution_steps": ["Divide: 80582 / (-9405) = -80582/9405", "Add: -4603 + (-80582/9405) = -43371797/9405", "Add: -43371797/9405 + 7411 = 26328658/9405", "Add: 26328658/9405 + 9761 = 118130863/9405"], "final_answer": "118130863/9405", "answer_type": "rational", "kind": "expression", "math_text": "-4603 + 80582 / (-9405) + 7411 + 9761", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4603, \"b\": 80582, \"c\": -9405, \"d\": 7411, \"e\": 9761}", "seed": "10930702355275029105", "semantic_fingerprint": "sha256:b6d2681848b84ff298071a31e9c3ae8bea31fd7ea246295d851a89f613656215", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004847", "prompt": "Calculate: -74872 / (-1768 / (-1625) / (-3664 / (-4677)))", "solution_steps": ["Divide: -1768 / (-1625) = 136/125", "Divide: -3664 / (-4677) = 3664/4677", "Divide: (136/125) / (3664/4677) = 79509/57250", "Divide: -74872 / (79509/57250) = -4286422000/79509"], "final_answer": "-4286422000/79509", "answer_type": "rational", "kind": "expression", "math_text": "-74872 / (-1768 / (-1625) / (-3664 / (-4677)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -74872, \"b\": -1768, \"c\": -1625, \"d\": -3664, \"e\": -4677}", "seed": "17773029929879583411", "semantic_fingerprint": "sha256:33090a1bce4e758ff838f29a141d4a75118887fb0d8d2cc826ccc25f0d4b6dfb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004848", "prompt": "What is 9105 * 78329 - 3191 * (5990 - 6904)?", "solution_steps": ["Multiply: 9105 * 78329 = 713185545", "Subtract: 5990 - 6904 = -914", "Multiply: 3191 * (-914) = -2916574", "Subtract: 713185545 - (-2916574) = 716102119"], "final_answer": "716102119", "answer_type": "integer", "kind": "expression", "math_text": "9105 * 78329 - 3191 * (5990 - 6904)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9105, \"b\": 78329, \"c\": 3191, \"d\": 5990, \"e\": 6904}", "seed": "4735542853544103595", "semantic_fingerprint": "sha256:8401bdffd03d04ff201df0a3ca92c576c5ef7edef333425fc1717bac4b3af34b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004849", "prompt": "Calculate: -71339 / (-7322 - 73852)", "solution_steps": ["Subtract: -7322 - 73852 = -81174", "Divide: -71339 / (-81174) = 71339/81174"], "final_answer": "71339/81174", "answer_type": "rational", "kind": "expression", "math_text": "-71339 / (-7322 - 73852)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71339, \"b\": -7322, \"c\": 73852}", "seed": "11542868692514424449", "semantic_fingerprint": "sha256:0cdd111bcdc88a77390ec683704172e8b5e9854b1ee4b3727179cf6bd60b5449", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004850", "prompt": "Solve the equation 29(x + 1932) = x for x.", "solution_steps": ["Expand: 29x + 56028 = x", "Subtract x from both sides: 28x + 56028 = 0", "Subtract 56028 from both sides: 28x = -56028", "Divide both sides by 28: x = -2001"], "final_answer": "-2001", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 1932) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1932}", "seed": "3492078715460229723", "semantic_fingerprint": "sha256:cfd142b885f6550f6145f7a2da62856da69913711f91f70062014d5314662e2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004851", "prompt": "Compute: -4100 + 1341 - (-47263) * (-3521)", "solution_steps": ["Add: -4100 + 1341 = -2759", "Multiply: -47263 * (-3521) = 166413023", "Subtract: -2759 - 166413023 = -166415782"], "final_answer": "-166415782", "answer_type": "integer", "kind": "expression", "math_text": "-4100 + 1341 - (-47263) * (-3521)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4100, \"b\": 1341, \"c\": -47263, \"d\": -3521}", "seed": "3186250076990264021", "semantic_fingerprint": "sha256:9691803c2bc7642cc6c7f6eb2c922b6bbf7b0b4ef39085bcbf8aa521e20ac9eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004852", "prompt": "Calculate: 4984 - (-25205) * (-72036)", "solution_steps": ["Multiply: -25205 * (-72036) = 1815667380", "Subtract: 4984 - 1815667380 = -1815662396"], "final_answer": "-1815662396", "answer_type": "integer", "kind": "expression", "math_text": "4984 - (-25205) * (-72036)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4984, \"b\": -25205, \"c\": -72036}", "seed": "14908219991846802661", "semantic_fingerprint": "sha256:c5b77d1f23a789bf3d97eca9df972d3dca0f7b5a09cd686d332c61fcc11fc816", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004853", "prompt": "What is (35142 + (-56217 - (-2939))) / (-58599)?", "solution_steps": ["Subtract: -56217 - (-2939) = -53278", "Add: 35142 + (-53278) = -18136", "Divide: -18136 / (-58599) = 18136/58599"], "final_answer": "18136/58599", "answer_type": "rational", "kind": "expression", "math_text": "(35142 + (-56217 - (-2939))) / (-58599)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35142, \"b\": -56217, \"c\": -2939, \"d\": -58599}", "seed": "16055362035810446487", "semantic_fingerprint": "sha256:3cf46227b926fbc5044aa7b391955ad67673d6cdf72ecc33294a0d7b854a3e11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004854", "prompt": "Compute: -3202 + (-7525) - 38668", "solution_steps": ["Add: -3202 + (-7525) = -10727", "Subtract: -10727 - 38668 = -49395"], "final_answer": "-49395", "answer_type": "integer", "kind": "expression", "math_text": "-3202 + (-7525) - 38668", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3202, \"b\": -7525, \"c\": 38668}", "seed": "5457907663833707718", "semantic_fingerprint": "sha256:c0bb58f11d825b8421513fcb9f638b1888e2b4102ca90b05af7bb5d12c42b2be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004855", "prompt": "Compute: -8029 + 7615", "solution_steps": ["Add: -8029 + 7615 = -414"], "final_answer": "-414", "answer_type": "integer", "kind": "expression", "math_text": "-8029 + 7615", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8029, \"b\": 7615}", "seed": "4567624359664221234", "semantic_fingerprint": "sha256:0d25fb0780e4f146c41af9368b3b861e2e6aa389b5dfececf4981c867bc21df4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004856", "prompt": "Evaluate: -71703 * (96490 - 4150)", "solution_steps": ["Subtract: 96490 - 4150 = 92340", "Multiply: -71703 * 92340 = -6621055020"], "final_answer": "-6621055020", "answer_type": "integer", "kind": "expression", "math_text": "-71703 * (96490 - 4150)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71703, \"b\": 96490, \"c\": 4150}", "seed": "5098350694209437359", "semantic_fingerprint": "sha256:74416ed67efcf7db33fef7b8a1619dfa000d0966ff0aaba1b2d921b0a33b66b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004857", "prompt": "What is -77116 * (-5017)?", "solution_steps": ["Multiply: -77116 * (-5017) = 386890972"], "final_answer": "386890972", "answer_type": "integer", "kind": "expression", "math_text": "-77116 * (-5017)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -77116, \"b\": -5017}", "seed": "14853625918647706254", "semantic_fingerprint": "sha256:f2ae5c22761ca6c929493f85b97271805e55c72b2dd42421d6db184ba4fa4ee3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004858", "prompt": "What is 2024 - 55725?", "solution_steps": ["Subtract: 2024 - 55725 = -53701"], "final_answer": "-53701", "answer_type": "integer", "kind": "expression", "math_text": "2024 - 55725", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2024, \"b\": 55725}", "seed": "6396776847729161171", "semantic_fingerprint": "sha256:70fcd40c8e8474307ad836a7c29f25b7373d3e84d5966a093236cf7ed278548c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004859", "prompt": "Calculate: -2083 / (-8428)", "solution_steps": ["Divide: -2083 / (-8428) = 2083/8428"], "final_answer": "2083/8428", "answer_type": "rational", "kind": "expression", "math_text": "-2083 / (-8428)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2083, \"b\": -8428}", "seed": "17597046334164211775", "semantic_fingerprint": "sha256:53b0f0ae3224fcc69bdf8fbc1754ab446615bf1dff4f36f185df4ecf42187cf3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004860", "prompt": "Evaluate: 50899 / (-2391 + (-22743))", "solution_steps": ["Add: -2391 + (-22743) = -25134", "Divide: 50899 / (-25134) = -50899/25134"], "final_answer": "-50899/25134", "answer_type": "rational", "kind": "expression", "math_text": "50899 / (-2391 + (-22743))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50899, \"b\": -2391, \"c\": -22743}", "seed": "6022456930105397165", "semantic_fingerprint": "sha256:b52ab1bd782b61129749dec272bd180ea772f952fef3b76cf9c7f2d17588fe11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004861", "prompt": "What value of x satisfies -15(x + 5164) + 9741 = -67224?", "solution_steps": ["Expand: -15x - 77460 + 9741 = -67224", "Combine constants: -15x - 67719 = -67224", "Add 67719 to both sides: -15x = 495", "Divide both sides by -15: x = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x + 5164) + 9741 = -67224", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 5164, \"c\": 9741, \"e\": -67224, \"x\": -33}", "seed": "15561711277774958605", "semantic_fingerprint": "sha256:e2f3f427d29bbf3fad9119da6b2ed4fb70164e297160252fe6d60367c9459003", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004862", "prompt": "What is -70752 / 2144 / 4502?", "solution_steps": ["Divide: -70752 / 2144 = -33", "Divide: -33 / 4502 = -33/4502"], "final_answer": "-33/4502", "answer_type": "rational", "kind": "expression", "math_text": "-70752 / 2144 / 4502", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70752, \"b\": 2144, \"c\": 4502}", "seed": "13899931946386861185", "semantic_fingerprint": "sha256:e90524c1eea09c6c672713c5fbd3e22467aa3a00286cc8a56112bf61e0a85450", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004863", "prompt": "Solve the equation x - 7707 = 34(x + 3983) + 8908 for x.", "solution_steps": ["Expand: x - 7707 = 34x + 135422 + 8908", "Combine constants: x - 7707 = 34x + 144330", "Subtract 34x from both sides: -33x - 7707 = 144330", "Add 7707 to both sides: -33x = 152037", "Divide both sides by -33: x = -50679/11"], "final_answer": "-50679/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7707 = 34(x + 3983) + 8908", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7707, \"b\": 34, \"c\": 3983, \"d\": 8908}", "seed": "8319038716970915997", "semantic_fingerprint": "sha256:5945e08408e19d97ba45fdd36969096d752e0b72fc6a6ddf777649d6d8d08e57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004864", "prompt": "Compute: 14089 * (-6307) / 6565", "solution_steps": ["Multiply: 14089 * (-6307) = -88859323", "Divide: -88859323 / 6565 = -88859323/6565"], "final_answer": "-88859323/6565", "answer_type": "rational", "kind": "expression", "math_text": "14089 * (-6307) / 6565", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14089, \"b\": -6307, \"c\": 6565}", "seed": "15123986693039596428", "semantic_fingerprint": "sha256:6d808580a9663cb23d0c14f8534d61c4607af1985fe4aac18eeea41aae9ab46e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004865", "prompt": "Compute: 95201 / (-9583)", "solution_steps": ["Divide: 95201 / (-9583) = -2573/259"], "final_answer": "-2573/259", "answer_type": "rational", "kind": "expression", "math_text": "95201 / (-9583)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95201, \"b\": -9583}", "seed": "11971684728781861729", "semantic_fingerprint": "sha256:6da18b704c6d3cd7aadab3593eca0f7c3cf1cefbfd1967615f9d6dc6262e680e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004866", "prompt": "Calculate: -5892 + 6629 / (-7488)", "solution_steps": ["Divide: 6629 / (-7488) = -6629/7488", "Add: -5892 + (-6629/7488) = -44125925/7488"], "final_answer": "-44125925/7488", "answer_type": "rational", "kind": "expression", "math_text": "-5892 + 6629 / (-7488)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5892, \"b\": 6629, \"c\": -7488}", "seed": "11857001161964391864", "semantic_fingerprint": "sha256:f307470e13007aacab4a19917aa8f7d05b7d57978ed6603ff07ad54a99924af1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004867", "prompt": "What is (8645 - (-3225)) * (-59785) - (-8850 - (-5055))?", "solution_steps": ["Subtract: 8645 - (-3225) = 11870", "Multiply: 11870 * (-59785) = -709647950", "Subtract: -8850 - (-5055) = -3795", "Subtract: -709647950 - (-3795) = -709644155"], "final_answer": "-709644155", "answer_type": "integer", "kind": "expression", "math_text": "(8645 - (-3225)) * (-59785) - (-8850 - (-5055))", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8645, \"b\": -3225, \"c\": -59785, \"d\": -8850, \"e\": -5055}", "seed": "16196760070053715019", "semantic_fingerprint": "sha256:8357d65058e74fbad15c6cd2676801fe04a7d8621b81918b6b22daa057ce94e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004868", "prompt": "Compute: -76694 + (-63758) + (-1366)", "solution_steps": ["Add: -76694 + (-63758) = -140452", "Add: -140452 + (-1366) = -141818"], "final_answer": "-141818", "answer_type": "integer", "kind": "expression", "math_text": "-76694 + (-63758) + (-1366)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76694, \"b\": -63758, \"c\": -1366}", "seed": "3953715203536683156", "semantic_fingerprint": "sha256:df4a57ad0db6e36830e20834b9f1b12e6656e2bdb5ff762718b0c71ce179b42f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004869", "prompt": "Compute: 33788 - (13878 - (-5820) * (-49553) - 61959)", "solution_steps": ["Multiply: -5820 * (-49553) = 288398460", "Subtract: 13878 - 288398460 = -288384582", "Subtract: -288384582 - 61959 = -288446541", "Subtract: 33788 - (-288446541) = 288480329"], "final_answer": "288480329", "answer_type": "integer", "kind": "expression", "math_text": "33788 - (13878 - (-5820) * (-49553) - 61959)", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n (* n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33788, \"b\": 13878, \"c\": -5820, \"d\": -49553, \"e\": 61959}", "seed": "7302291969448212616", "semantic_fingerprint": "sha256:b9934b251eab07e6f73a77fe88100e9f90841fd2aaa4000d6f8c7e6a48135099", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004870", "prompt": "Solve for x: 32x = 14x - 2916", "solution_steps": ["Subtract 14x from both sides: 18x = -2916", "Divide both sides by 18: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = 14x - 2916", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 14, \"d\": -2916, \"x\": -162}", "seed": "1908552275836533846", "semantic_fingerprint": "sha256:5ee300933952b30a2efe63f266e151d2bde7250e558ea771a47cda4b7153ea74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004871", "prompt": "Evaluate: 86736 - 41266 - (-64009 + (-17411))", "solution_steps": ["Subtract: 86736 - 41266 = 45470", "Add: -64009 + (-17411) = -81420", "Subtract: 45470 - (-81420) = 126890"], "final_answer": "126890", "answer_type": "integer", "kind": "expression", "math_text": "86736 - 41266 - (-64009 + (-17411))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86736, \"b\": 41266, \"c\": -64009, \"d\": -17411}", "seed": "10421405569686123936", "semantic_fingerprint": "sha256:b29a429f0e300d4b528ad39b15719de4b1e0b865f4825dcc618b5ab9de210f88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004872", "prompt": "Solve the equation 23(x - 3580) = x - 85882 for x.", "solution_steps": ["Expand: 23x - 82340 = x - 85882", "Subtract x from both sides: 22x - 82340 = -85882", "Add 82340 to both sides: 22x = -3542", "Divide both sides by 22: x = -161"], "final_answer": "-161", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x - 3580) = x - 85882", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3580, \"d\": -85882, \"x\": -161}", "seed": "2976183784823059054", "semantic_fingerprint": "sha256:7a3e4ff9c5790d6dce02ef9b248b451ec9adf858fea262b9e82af692f38fb296", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004873", "prompt": "Calculate: (9810 - 9441) * (-4089)", "solution_steps": ["Subtract: 9810 - 9441 = 369", "Multiply: 369 * (-4089) = -1508841"], "final_answer": "-1508841", "answer_type": "integer", "kind": "expression", "math_text": "(9810 - 9441) * (-4089)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9810, \"b\": 9441, \"c\": -4089}", "seed": "17584933751146794555", "semantic_fingerprint": "sha256:7d9fb418266e10c09e3dd0f8535b5128f1fd914726faca22d57ccebdead5d885", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004874", "prompt": "Solve for x: 19(x + 11619) - 2713 = 36(x + 56151)", "solution_steps": ["Expand: 19x + 220761 - 2713 = 36(x + 56151)", "Expand: 19x + 220761 - 2713 = 36x + 2021436", "Combine constants: 19x + 218048 = 36x + 2021436", "Subtract 36x from both sides: -17x + 218048 = 2021436", "Subtract 218048 from both sides: -17x = 1803388", "Divide both sides by -17: x = -1803388/17"], "final_answer": "-1803388/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 11619) - 2713 = 36(x + 56151)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 11619, \"c\": 2713, \"d\": 36, \"e\": 56151}", "seed": "10448499245085235159", "semantic_fingerprint": "sha256:44ccbb7095831b81c0edb76eb101d7f9b125bf735e14c477fa2c55b50fbfaa76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004875", "prompt": "What value of x satisfies x - 37593 = -13(x + 3091)?", "solution_steps": ["Expand: x - 37593 = -13x - 40183", "Add 13x to both sides: 14x - 37593 = -40183", "Add 37593 to both sides: 14x = -2590", "Divide both sides by 14: x = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 37593 = -13(x + 3091)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 3091, \"d\": -37593, \"x\": -185}", "seed": "12368733910180670861", "semantic_fingerprint": "sha256:51188834828fac04ddb6a02393cfb231b77feca0711baaf7e6c313928ec43ecd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004876", "prompt": "Calculate: 33430 / (-76240)", "solution_steps": ["Divide: 33430 / (-76240) = -3343/7624"], "final_answer": "-3343/7624", "answer_type": "rational", "kind": "expression", "math_text": "33430 / (-76240)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33430, \"b\": -76240}", "seed": "5450398117976214022", "semantic_fingerprint": "sha256:734b41bf939c38731a45f529e0773778d886c2acec9a718ac01a1f4d23f4cc9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004877", "prompt": "What is -7812 * 78188?", "solution_steps": ["Multiply: -7812 * 78188 = -610804656"], "final_answer": "-610804656", "answer_type": "integer", "kind": "expression", "math_text": "-7812 * 78188", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7812, \"b\": 78188}", "seed": "14174226279427808032", "semantic_fingerprint": "sha256:023150fbe23495195fd1e248171c8f13397cbb1b72593c1150a099109401b9ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004878", "prompt": "What value of x satisfies 34x + 26569 = 25073?", "solution_steps": ["Subtract 26569 from both sides: 34x = -1496", "Divide both sides by 34: x = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 26569 = 25073", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 26569, \"d\": 25073, \"x\": -44}", "seed": "2943491268504272199", "semantic_fingerprint": "sha256:f151b32815015f7195d886f9442e06c3036bd2c5bf62db51fad7ee5cc21a8197", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004879", "prompt": "What is 2729 - (5808 - 4768) + 4845?", "solution_steps": ["Subtract: 5808 - 4768 = 1040", "Subtract: 2729 - 1040 = 1689", "Add: 1689 + 4845 = 6534"], "final_answer": "6534", "answer_type": "integer", "kind": "expression", "math_text": "2729 - (5808 - 4768) + 4845", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2729, \"b\": 5808, \"c\": 4768, \"d\": 4845}", "seed": "2774001663994363424", "semantic_fingerprint": "sha256:965453eac9e6d6b2ac58f17e05e901b244b229bdefd5f11b931dfc149feeb9c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004880", "prompt": "Evaluate: (-6214 + 6035) * (-50374 / (-6776))", "solution_steps": ["Add: -6214 + 6035 = -179", "Divide: -50374 / (-6776) = 25187/3388", "Multiply: -179 * (25187/3388) = -4508473/3388"], "final_answer": "-4508473/3388", "answer_type": "rational", "kind": "expression", "math_text": "(-6214 + 6035) * (-50374 / (-6776))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6214, \"b\": 6035, \"c\": -50374, \"d\": -6776}", "seed": "17017831031406499264", "semantic_fingerprint": "sha256:3d6d1a32527d8a12a3137e007fb25b6e78d2670af660b2c6cad503a6d6784531", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004881", "prompt": "Compute: 1578 * (-2260) * (-56062) + (-23250 - 7678)", "solution_steps": ["Multiply: 1578 * (-2260) = -3566280", "Multiply: -3566280 * (-56062) = 199932789360", "Subtract: -23250 - 7678 = -30928", "Add: 199932789360 + (-30928) = 199932758432"], "final_answer": "199932758432", "answer_type": "integer", "kind": "expression", "math_text": "1578 * (-2260) * (-56062) + (-23250 - 7678)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1578, \"b\": -2260, \"c\": -56062, \"d\": -23250, \"e\": 7678}", "seed": "11915222117920541266", "semantic_fingerprint": "sha256:b0ffbfeeba5a0aa9477fff29a7d4898979aad6c4d35436575c6b8f4b5469e4a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004882", "prompt": "Compute: 80056 - 4099 - (-9622)", "solution_steps": ["Subtract: 80056 - 4099 = 75957", "Subtract: 75957 - (-9622) = 85579"], "final_answer": "85579", "answer_type": "integer", "kind": "expression", "math_text": "80056 - 4099 - (-9622)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80056, \"b\": 4099, \"c\": -9622}", "seed": "15505903327192035556", "semantic_fingerprint": "sha256:67fbae615c763b5318d91c820f68984a137ce99b3823fd693184c7b90cba298f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004883", "prompt": "What value of x satisfies x = 40x - 5967?", "solution_steps": ["Subtract 40x from both sides: -39x = -5967", "Divide both sides by -39: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 40x - 5967", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -5967, \"x\": 153}", "seed": "2325121815658094849", "semantic_fingerprint": "sha256:604759ec71fa0f2441676a4ded705b9dc2effd2cd4a853f124ce944d3e016491", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004884", "prompt": "Compute: 7967 + (-6856) * 3290 + 20087", "solution_steps": ["Multiply: -6856 * 3290 = -22556240", "Add: 7967 + (-22556240) = -22548273", "Add: -22548273 + 20087 = -22528186"], "final_answer": "-22528186", "answer_type": "integer", "kind": "expression", "math_text": "7967 + (-6856) * 3290 + 20087", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7967, \"b\": -6856, \"c\": 3290, \"d\": 20087}", "seed": "3520361923566998750", "semantic_fingerprint": "sha256:160dadf26ba4d3030054169814206d8cf8a7556653cf9b0adb2322d9c9be7808", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004885", "prompt": "Compute: -5490 - 5324", "solution_steps": ["Subtract: -5490 - 5324 = -10814"], "final_answer": "-10814", "answer_type": "integer", "kind": "expression", "math_text": "-5490 - 5324", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5490, \"b\": 5324}", "seed": "17602274862722509717", "semantic_fingerprint": "sha256:b87af96f56834268e11663d3ae3c364debd63b61bb89691a82e8e6d1366a7fe6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004886", "prompt": "Calculate: 17060 + 10091", "solution_steps": ["Add: 17060 + 10091 = 27151"], "final_answer": "27151", "answer_type": "integer", "kind": "expression", "math_text": "17060 + 10091", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 17060, \"b\": 10091}", "seed": "12958829416000173708", "semantic_fingerprint": "sha256:a8e472d6b1888232824bf80826e22b487104f1df3e02a23c4efea1aa31ee8f28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004887", "prompt": "Solve the equation x - 4613 = -39x for x.", "solution_steps": ["Add 39x to both sides: 40x - 4613 = 0", "Add 4613 to both sides: 40x = 4613", "Divide both sides by 40: x = 4613/40"], "final_answer": "4613/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4613 = -39x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4613, \"b\": -39}", "seed": "10333802761327911607", "semantic_fingerprint": "sha256:8a0c465d465452bd4e306101bb523eb8ad338ec61d55c1c5212ca8f7cf47acb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004888", "prompt": "Evaluate: 1841 + (-43028)", "solution_steps": ["Add: 1841 + (-43028) = -41187"], "final_answer": "-41187", "answer_type": "integer", "kind": "expression", "math_text": "1841 + (-43028)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1841, \"b\": -43028}", "seed": "11886175742559936979", "semantic_fingerprint": "sha256:121d962c23cc82af8f0e92b61eac0a65fb81898fef0276ab82abd97eeba89329", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004889", "prompt": "Find x: -26x = x - 69323", "solution_steps": ["Subtract x from both sides: -27x = -69323", "Divide both sides by -27: x = 69323/27"], "final_answer": "69323/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26x = x - 69323", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 69323}", "seed": "17368823321060845746", "semantic_fingerprint": "sha256:d86a72771daf6d742098548c7a4b5fa783754d91078eb6632cbd5391faf228cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004890", "prompt": "Compute: -1360 * ((-25249 * (-3141) + (-3039) - (-89881)) / (-97592))", "solution_steps": ["Multiply: -25249 * (-3141) = 79307109", "Add: 79307109 + (-3039) = 79304070", "Subtract: 79304070 - (-89881) = 79393951", "Divide: 79393951 / (-97592) = -79393951/97592", "Multiply: -1360 * (-79393951/97592) = 13496971670/12199"], "final_answer": "13496971670/12199", "answer_type": "rational", "kind": "expression", "math_text": "-1360 * ((-25249 * (-3141) + (-3039) - (-89881)) / (-97592))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- (+ (* n n) n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1360, \"b\": -25249, \"c\": -3141, \"d\": -3039, \"e\": -89881, \"f\": -97592}", "seed": "4848092496729494291", "semantic_fingerprint": "sha256:a5f413331c93a5084843244fd1ff1b906026fabed3ef6ea592cbfce0ae9dbfac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004891", "prompt": "What is 8779 - 20982 - (-2448)?", "solution_steps": ["Subtract: 8779 - 20982 = -12203", "Subtract: -12203 - (-2448) = -9755"], "final_answer": "-9755", "answer_type": "integer", "kind": "expression", "math_text": "8779 - 20982 - (-2448)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8779, \"b\": 20982, \"c\": -2448}", "seed": "8848193627801414649", "semantic_fingerprint": "sha256:b0b20996798ee6a50e5522232f03fccb5765b936be49dbd505128f034d5ca546", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004892", "prompt": "Compute: -76737 * (-38254) - (-76045)", "solution_steps": ["Multiply: -76737 * (-38254) = 2935497198", "Subtract: 2935497198 - (-76045) = 2935573243"], "final_answer": "2935573243", "answer_type": "integer", "kind": "expression", "math_text": "-76737 * (-38254) - (-76045)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76737, \"b\": -38254, \"c\": -76045}", "seed": "9447198299863585324", "semantic_fingerprint": "sha256:d50609224dc2f1c5d8363a42be7e8793d66788ab997bbf0779ed335c287f6df7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004893", "prompt": "What value of x satisfies -37x + 15355 = x + 19877?", "solution_steps": ["Subtract x from both sides: -38x + 15355 = 19877", "Subtract 15355 from both sides: -38x = 4522", "Divide both sides by -38: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x + 15355 = x + 19877", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 15355, \"d\": 19877, \"x\": -119}", "seed": "16178810151780649310", "semantic_fingerprint": "sha256:74dd763e28782c41016c2e10ba74ca78febfdf21fc5490ba885c3ddfd6fb303f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004894", "prompt": "Solve the equation -14(x - 73862) = x for x.", "solution_steps": ["Expand: -14x + 1034068 = x", "Subtract x from both sides: -15x + 1034068 = 0", "Subtract 1034068 from both sides: -15x = -1034068", "Divide both sides by -15: x = 1034068/15"], "final_answer": "1034068/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x - 73862) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 73862}", "seed": "15999017565308673204", "semantic_fingerprint": "sha256:017ea802fb906dfefd884263ed853acc413a311b85df6737f7393fe2f01574a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004895", "prompt": "Calculate: 3573 + (7807 - 17348) * (-1778)", "solution_steps": ["Subtract: 7807 - 17348 = -9541", "Multiply: -9541 * (-1778) = 16963898", "Add: 3573 + 16963898 = 16967471"], "final_answer": "16967471", "answer_type": "integer", "kind": "expression", "math_text": "3573 + (7807 - 17348) * (-1778)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3573, \"b\": 7807, \"c\": 17348, \"d\": -1778}", "seed": "8955774977989876817", "semantic_fingerprint": "sha256:392c7b1d9ed21fadf3a60243b4b2d15bdcbc1c9f57b34d6a433490c1984fb968", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004896", "prompt": "Solve the equation x = -38(x - 83328) for x.", "solution_steps": ["Expand: x = -38x + 3166464", "Add 38x to both sides: 39x = 3166464", "Divide both sides by 39: x = 1055488/13"], "final_answer": "1055488/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -38(x - 83328)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 83328}", "seed": "2659513054926894427", "semantic_fingerprint": "sha256:1604270e2491a9d76baaf7479936b113a36f8404a2afbefa9b7b4c73b51c318d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004897", "prompt": "Evaluate: 57774 - (-8671) + 95898 - 53330 - 4265 * 52221", "solution_steps": ["Subtract: 57774 - (-8671) = 66445", "Add: 66445 + 95898 = 162343", "Subtract: 162343 - 53330 = 109013", "Multiply: 4265 * 52221 = 222722565", "Subtract: 109013 - 222722565 = -222613552"], "final_answer": "-222613552", "answer_type": "integer", "kind": "expression", "math_text": "57774 - (-8671) + 95898 - 53330 - 4265 * 52221", "variable": null, "family": "expression_5op", "shape": "(- (- (+ (- n n) n) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 57774, \"b\": -8671, \"c\": 95898, \"d\": 53330, \"e\": 4265, \"f\": 52221}", "seed": "6159651763185595761", "semantic_fingerprint": "sha256:75bd498d7f903edd57897b7325984b205af38fcc1e3a778a188cb8147f5a981a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004898", "prompt": "Evaluate: -3558 + 47359", "solution_steps": ["Add: -3558 + 47359 = 43801"], "final_answer": "43801", "answer_type": "integer", "kind": "expression", "math_text": "-3558 + 47359", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3558, \"b\": 47359}", "seed": "4203691389563471146", "semantic_fingerprint": "sha256:100125807508b205f23f26906963e3915380858d60b7436dc4122c6d117cb61e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004899", "prompt": "Evaluate: 8169 * (-15935) / 2051", "solution_steps": ["Multiply: 8169 * (-15935) = -130173015", "Divide: -130173015 / 2051 = -18596145/293"], "final_answer": "-18596145/293", "answer_type": "rational", "kind": "expression", "math_text": "8169 * (-15935) / 2051", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8169, \"b\": -15935, \"c\": 2051}", "seed": "5977171252281660044", "semantic_fingerprint": "sha256:adbd1f781d7e4e27238ab475da0275756a2169882a733392fd8cb02325ec275c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004900", "prompt": "Evaluate: -1354 - (-28572)", "solution_steps": ["Subtract: -1354 - (-28572) = 27218"], "final_answer": "27218", "answer_type": "integer", "kind": "expression", "math_text": "-1354 - (-28572)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1354, \"b\": -28572}", "seed": "13737991358079763127", "semantic_fingerprint": "sha256:cae4b35f452384fc5984fbc836e37d48cc7595880f938d604e512debbe8e6322", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004901", "prompt": "What value of x satisfies 24x + 80527 = x + 76134?", "solution_steps": ["Subtract x from both sides: 23x + 80527 = 76134", "Subtract 80527 from both sides: 23x = -4393", "Divide both sides by 23: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 80527 = x + 76134", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 80527, \"d\": 76134, \"x\": -191}", "seed": "16268036220861146820", "semantic_fingerprint": "sha256:51b0353bbb4054f6988dc1069abe51c216daca67b39ef2551cc2c8190385958e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004902", "prompt": "What is 8318 - (-59548 + 9624 - 7620)?", "solution_steps": ["Add: -59548 + 9624 = -49924", "Subtract: -49924 - 7620 = -57544", "Subtract: 8318 - (-57544) = 65862"], "final_answer": "65862", "answer_type": "integer", "kind": "expression", "math_text": "8318 - (-59548 + 9624 - 7620)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8318, \"b\": -59548, \"c\": 9624, \"d\": 7620}", "seed": "12582114539052948403", "semantic_fingerprint": "sha256:b7cb69f75cf36befe206e8346cbd7746d1295aa1d796fecc40edb07ceccf06ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004903", "prompt": "What is -87996 / (-2182)?", "solution_steps": ["Divide: -87996 / (-2182) = 43998/1091"], "final_answer": "43998/1091", "answer_type": "rational", "kind": "expression", "math_text": "-87996 / (-2182)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -87996, \"b\": -2182}", "seed": "7428435581813783259", "semantic_fingerprint": "sha256:68a07d6718b446c3392668e5766eae6408885e9a9c153d6534c48cf802a684ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004904", "prompt": "What is 78616 - 6633?", "solution_steps": ["Subtract: 78616 - 6633 = 71983"], "final_answer": "71983", "answer_type": "integer", "kind": "expression", "math_text": "78616 - 6633", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 78616, \"b\": 6633}", "seed": "520405753930114507", "semantic_fingerprint": "sha256:9e71cf130dbbbbf4d3cac33b5dca15b26ed50133ef2a76f460737c5bda736f69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004905", "prompt": "Solve for x: x = 38x + 2923", "solution_steps": ["Subtract 38x from both sides: -37x = 2923", "Divide both sides by -37: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 38x + 2923", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 2923, \"x\": -79}", "seed": "18400652438507800787", "semantic_fingerprint": "sha256:e60fb8e3f06a145a355852eb52740795b9bc74794cb68b6109e807a645c63757", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004906", "prompt": "What is 7929 + (-47896 + (-5497))?", "solution_steps": ["Add: -47896 + (-5497) = -53393", "Add: 7929 + (-53393) = -45464"], "final_answer": "-45464", "answer_type": "integer", "kind": "expression", "math_text": "7929 + (-47896 + (-5497))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7929, \"b\": -47896, \"c\": -5497}", "seed": "4154393216801646486", "semantic_fingerprint": "sha256:d1b194a2b6e76ceff59b573d95c0de6fea5ff09425f9d0e3498b578797e47a22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004907", "prompt": "Calculate: 1295 + (-18865 - 5897)", "solution_steps": ["Subtract: -18865 - 5897 = -24762", "Add: 1295 + (-24762) = -23467"], "final_answer": "-23467", "answer_type": "integer", "kind": "expression", "math_text": "1295 + (-18865 - 5897)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1295, \"b\": -18865, \"c\": 5897}", "seed": "891323852611477206", "semantic_fingerprint": "sha256:3282c6bbacdb63476d82375459639f8456fc1722f95fc6cc3c3bdd6612d1ec35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004908", "prompt": "Calculate: 41462 / (-5660)", "solution_steps": ["Divide: 41462 / (-5660) = -20731/2830"], "final_answer": "-20731/2830", "answer_type": "rational", "kind": "expression", "math_text": "41462 / (-5660)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41462, \"b\": -5660}", "seed": "13709484269910756138", "semantic_fingerprint": "sha256:3b562b84d30c4e9e4bbacd3972170ff3d0f47840b6633cceb44c9ab1b1352ff1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004909", "prompt": "Calculate: 75353 * 8631 - (3536 + (-9449 - 1946)) + 1114", "solution_steps": ["Multiply: 75353 * 8631 = 650371743", "Subtract: -9449 - 1946 = -11395", "Add: 3536 + (-11395) = -7859", "Subtract: 650371743 - (-7859) = 650379602", "Add: 650379602 + 1114 = 650380716"], "final_answer": "650380716", "answer_type": "integer", "kind": "expression", "math_text": "75353 * 8631 - (3536 + (-9449 - 1946)) + 1114", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (+ n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 75353, \"b\": 8631, \"c\": 3536, \"d\": -9449, \"e\": 1946, \"f\": 1114}", "seed": "4306749708942747836", "semantic_fingerprint": "sha256:3c315c919134770da9270185d8642a67d4c29c92e5fedf550b29f68db9d592fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004910", "prompt": "What value of x satisfies -33x + 1473 = -27x + 3292?", "solution_steps": ["Add 27x to both sides: -6x + 1473 = 3292", "Subtract 1473 from both sides: -6x = 1819", "Divide both sides by -6: x = -1819/6"], "final_answer": "-1819/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x + 1473 = -27x + 3292", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 1473, \"c\": -27, \"d\": 3292}", "seed": "3509086468077961191", "semantic_fingerprint": "sha256:f37e41584cac3f97f6a033bece5df19e307566d2a9bf7c04c8bd0c3775c3e757", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004911", "prompt": "What is -3664 - 88140 / 64147?", "solution_steps": ["Divide: 88140 / 64147 = 88140/64147", "Subtract: -3664 - 88140/64147 = -235122748/64147"], "final_answer": "-235122748/64147", "answer_type": "rational", "kind": "expression", "math_text": "-3664 - 88140 / 64147", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3664, \"b\": 88140, \"c\": 64147}", "seed": "9473463634414123993", "semantic_fingerprint": "sha256:82bf24eb12258de790c46e0abb36969ae8ff9ed1a87277351424dfce765ced79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004912", "prompt": "Calculate: 3191 / (6307 + (-16060))", "solution_steps": ["Add: 6307 + (-16060) = -9753", "Divide: 3191 / (-9753) = -3191/9753"], "final_answer": "-3191/9753", "answer_type": "rational", "kind": "expression", "math_text": "3191 / (6307 + (-16060))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3191, \"b\": 6307, \"c\": -16060}", "seed": "776214955882339828", "semantic_fingerprint": "sha256:caec99d1ae5cd81e4637c164ca1931c30e29f119cf4cf728d07099ba56b74c6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004913", "prompt": "Solve the equation x + 51461 = 20(x + 21735) + 2353 for x.", "solution_steps": ["Expand: x + 51461 = 20x + 434700 + 2353", "Combine constants: x + 51461 = 20x + 437053", "Subtract 20x from both sides: -19x + 51461 = 437053", "Subtract 51461 from both sides: -19x = 385592", "Divide both sides by -19: x = -385592/19"], "final_answer": "-385592/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 51461 = 20(x + 21735) + 2353", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51461, \"b\": 20, \"c\": 21735, \"d\": 2353}", "seed": "1857706056146924662", "semantic_fingerprint": "sha256:d26a4fb76958e499e99118ddeabc4e9e2264f0acab0b3ee6af08595941714f32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004914", "prompt": "Compute: -36619 + 1940 + 85831", "solution_steps": ["Add: -36619 + 1940 = -34679", "Add: -34679 + 85831 = 51152"], "final_answer": "51152", "answer_type": "integer", "kind": "expression", "math_text": "-36619 + 1940 + 85831", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36619, \"b\": 1940, \"c\": 85831}", "seed": "1974965929403481568", "semantic_fingerprint": "sha256:2d1484dac1d79940bd714d88bc3478f3e460c1f8fbd4d0f9a783929918e0a08d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004915", "prompt": "Find x: 13(x - 8464) + 21182 = 14x - 88935", "solution_steps": ["Expand: 13x - 110032 + 21182 = 14x - 88935", "Combine constants: 13x - 88850 = 14x - 88935", "Subtract 14x from both sides: -x - 88850 = -88935", "Add 88850 to both sides: -x = -85", "Divide both sides by -1: x = 85"], "final_answer": "85", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 8464) + 21182 = 14x - 88935", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 8464, \"c\": 21182, \"d\": 14, \"f\": -88935, \"x\": 85}", "seed": "4191805767664498891", "semantic_fingerprint": "sha256:9a846639374c5e5affa406192a783bdf87c6b9ea9005a8e0ed8899b5bf829044", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004916", "prompt": "Calculate: 62163 / (-14744)", "solution_steps": ["Divide: 62163 / (-14744) = -62163/14744"], "final_answer": "-62163/14744", "answer_type": "rational", "kind": "expression", "math_text": "62163 / (-14744)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62163, \"b\": -14744}", "seed": "15872910248975535985", "semantic_fingerprint": "sha256:2099f0c566a0a418710e987e205271d6430d99fafc8e4ac1f76bcb89fe4d4342", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004917", "prompt": "What value of x satisfies x - 4232 = 40x - 1034?", "solution_steps": ["Subtract 40x from both sides: -39x - 4232 = -1034", "Add 4232 to both sides: -39x = 3198", "Divide both sides by -39: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4232 = 40x - 1034", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4232, \"b\": 40, \"d\": -1034, \"x\": -82}", "seed": "1869789320072551172", "semantic_fingerprint": "sha256:cb2b99b7c46618e5ac9abfaa8c5884ab66de5400b9298a22c0808c203c5b7a87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004918", "prompt": "What value of x satisfies 15x - 73222 = 33(x - 1997) - 9661?", "solution_steps": ["Expand: 15x - 73222 = 33x - 65901 - 9661", "Combine constants: 15x - 73222 = 33x - 75562", "Subtract 33x from both sides: -18x - 73222 = -75562", "Add 73222 to both sides: -18x = -2340", "Divide both sides by -18: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 73222 = 33(x - 1997) - 9661", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 73222, \"c\": 33, \"d\": 1997, \"f\": -9661, \"x\": 130}", "seed": "11239900718327723055", "semantic_fingerprint": "sha256:2c125320ed7eee20a6d121e809c785d43d6b91650820b5c3734452ce1718f518", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004919", "prompt": "Solve for x: 21(x - 5794) + 4520 = 19(x - 43462) - 70245", "solution_steps": ["Expand: 21x - 121674 + 4520 = 19(x - 43462) - 70245", "Expand: 21x - 121674 + 4520 = 19x - 825778 - 70245", "Combine constants: 21x - 117154 = 19x - 825778 - 70245", "Combine constants: 21x - 117154 = 19x - 896023", "Subtract 19x from both sides: 2x - 117154 = -896023", "Add 117154 to both sides: 2x = -778869", "Divide both sides by 2: x = -778869/2"], "final_answer": "-778869/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 5794) + 4520 = 19(x - 43462) - 70245", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 5794, \"c\": 4520, \"d\": 19, \"e\": 43462, \"f\": 70245}", "seed": "705976185719728308", "semantic_fingerprint": "sha256:c1a64bb24422a8002b4b4a6f054d9393477b0414000de8fb7042efe2c1f4ddab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004920", "prompt": "What is 9192 / (92949 + (-2972) + (-8767))?", "solution_steps": ["Add: 92949 + (-2972) = 89977", "Add: 89977 + (-8767) = 81210", "Divide: 9192 / 81210 = 1532/13535"], "final_answer": "1532/13535", "answer_type": "rational", "kind": "expression", "math_text": "9192 / (92949 + (-2972) + (-8767))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9192, \"b\": 92949, \"c\": -2972, \"d\": -8767}", "seed": "13115935368137067239", "semantic_fingerprint": "sha256:57992f226c1824390e0f4d42e05fb10043f3873ccb6664f0dc6f8ddb26c4e1db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004921", "prompt": "What is -7108 * (-99829) / (-47610)?", "solution_steps": ["Multiply: -7108 * (-99829) = 709584532", "Divide: 709584532 / (-47610) = -354792266/23805"], "final_answer": "-354792266/23805", "answer_type": "rational", "kind": "expression", "math_text": "-7108 * (-99829) / (-47610)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7108, \"b\": -99829, \"c\": -47610}", "seed": "1581736239972172641", "semantic_fingerprint": "sha256:27b3d44d30bb549d817f10c73eaccb7d437e886817ac96dd3b72812d81711106", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004922", "prompt": "Find x: -39(x + 32813) = x", "solution_steps": ["Expand: -39x - 1279707 = x", "Subtract x from both sides: -40x - 1279707 = 0", "Add 1279707 to both sides: -40x = 1279707", "Divide both sides by -40: x = -1279707/40"], "final_answer": "-1279707/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 32813) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 32813}", "seed": "10140283762647664265", "semantic_fingerprint": "sha256:7805a365be80c97976cbab3c6eb90f0bad7d68393f295abea4da3388d9cd6604", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004923", "prompt": "Calculate: -9730 + (-10974) + (-90669)", "solution_steps": ["Add: -9730 + (-10974) = -20704", "Add: -20704 + (-90669) = -111373"], "final_answer": "-111373", "answer_type": "integer", "kind": "expression", "math_text": "-9730 + (-10974) + (-90669)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9730, \"b\": -10974, \"c\": -90669}", "seed": "3753168812823181732", "semantic_fingerprint": "sha256:515f5dbc5d1f3716a99b5b94159f6b8acb57458949d4715d968f60a6caa0bf2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004924", "prompt": "Compute: 64177 / 19373", "solution_steps": ["Divide: 64177 / 19373 = 64177/19373"], "final_answer": "64177/19373", "answer_type": "rational", "kind": "expression", "math_text": "64177 / 19373", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64177, \"b\": 19373}", "seed": "15331483582145060405", "semantic_fingerprint": "sha256:2247ebda9c4b38a555fc6d966251d922853dc00a1b729bd32c3d975a34c4f952", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004925", "prompt": "What is -3482 * (-4578) + (-3976)?", "solution_steps": ["Multiply: -3482 * (-4578) = 15940596", "Add: 15940596 + (-3976) = 15936620"], "final_answer": "15936620", "answer_type": "integer", "kind": "expression", "math_text": "-3482 * (-4578) + (-3976)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3482, \"b\": -4578, \"c\": -3976}", "seed": "5311637117871755698", "semantic_fingerprint": "sha256:1ae0ba15749b7ae9545a19b5cb52bede2cf17716f4cfb9eec77e91121ea71d6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004926", "prompt": "What is -70438 + 7358?", "solution_steps": ["Add: -70438 + 7358 = -63080"], "final_answer": "-63080", "answer_type": "integer", "kind": "expression", "math_text": "-70438 + 7358", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -70438, \"b\": 7358}", "seed": "5531125072665936077", "semantic_fingerprint": "sha256:c3f8a99d4e729a3b50ad16d61172a345cab63866b39bf8ab79259bf63b006a19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004927", "prompt": "Compute: 41469 * (79212 + 38486) - (1921 - 48358)", "solution_steps": ["Add: 79212 + 38486 = 117698", "Multiply: 41469 * 117698 = 4880818362", "Subtract: 1921 - 48358 = -46437", "Subtract: 4880818362 - (-46437) = 4880864799"], "final_answer": "4880864799", "answer_type": "integer", "kind": "expression", "math_text": "41469 * (79212 + 38486) - (1921 - 48358)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 41469, \"b\": 79212, \"c\": 38486, \"d\": 1921, \"e\": 48358}", "seed": "8249233946042548257", "semantic_fingerprint": "sha256:3286352efef483319b85ba4f1d59ac5184dedaf0181ecd34ebe2abf38b8af59f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004928", "prompt": "What is -6880 + 48772 - 20693?", "solution_steps": ["Add: -6880 + 48772 = 41892", "Subtract: 41892 - 20693 = 21199"], "final_answer": "21199", "answer_type": "integer", "kind": "expression", "math_text": "-6880 + 48772 - 20693", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6880, \"b\": 48772, \"c\": 20693}", "seed": "6791249669795480032", "semantic_fingerprint": "sha256:020572a80d0e339ef390d0397b892ac961cadb0ab6bb371218111d486fca8e12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004929", "prompt": "What is 4282 / (-1731 + 6404)?", "solution_steps": ["Add: -1731 + 6404 = 4673", "Divide: 4282 / 4673 = 4282/4673"], "final_answer": "4282/4673", "answer_type": "rational", "kind": "expression", "math_text": "4282 / (-1731 + 6404)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4282, \"b\": -1731, \"c\": 6404}", "seed": "2706941882062093080", "semantic_fingerprint": "sha256:26be5fe5d99b71f93e06e866f9b639ff7ba3b4ae49856862ccd0674304ab327b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004930", "prompt": "Calculate: -11468 / (-3094)", "solution_steps": ["Divide: -11468 / (-3094) = 5734/1547"], "final_answer": "5734/1547", "answer_type": "rational", "kind": "expression", "math_text": "-11468 / (-3094)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11468, \"b\": -3094}", "seed": "12677917462196335427", "semantic_fingerprint": "sha256:9ce949cb728e9ebf4616b64d4e7d1bc37e9a96a53179da729c07f758ecd17a98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004931", "prompt": "What is 60509 + (-10314)?", "solution_steps": ["Add: 60509 + (-10314) = 50195"], "final_answer": "50195", "answer_type": "integer", "kind": "expression", "math_text": "60509 + (-10314)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60509, \"b\": -10314}", "seed": "1435302206665563229", "semantic_fingerprint": "sha256:a424419a1b361c91d12b38682db59bbcc16be7dc1d24115c1d3d8a81fd080dd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004932", "prompt": "Evaluate: -40984 * (6113 - (-99472))", "solution_steps": ["Subtract: 6113 - (-99472) = 105585", "Multiply: -40984 * 105585 = -4327295640"], "final_answer": "-4327295640", "answer_type": "integer", "kind": "expression", "math_text": "-40984 * (6113 - (-99472))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40984, \"b\": 6113, \"c\": -99472}", "seed": "4867599675495042474", "semantic_fingerprint": "sha256:778c7a8ad5b7b8999eaa456818bd63d3f1a3e0a6ca63c383d6d187c3f66a479b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004933", "prompt": "What value of x satisfies x = 23x?", "solution_steps": ["Subtract 23x from both sides: -22x = 0", "Divide both sides by -22: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 23x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23}", "seed": "15437733401932095295", "semantic_fingerprint": "sha256:e106095aca06b6a11f785d4639ba6a5f3f05e1693811cb78ddccd9155589ace2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004934", "prompt": "Calculate: 6893 * (1394 - (-4606))", "solution_steps": ["Subtract: 1394 - (-4606) = 6000", "Multiply: 6893 * 6000 = 41358000"], "final_answer": "41358000", "answer_type": "integer", "kind": "expression", "math_text": "6893 * (1394 - (-4606))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6893, \"b\": 1394, \"c\": -4606}", "seed": "2678211081383021681", "semantic_fingerprint": "sha256:a6411ca23afedb06c82772b130f5614bf01e9c45aac73218bd5a83caab57ca68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004935", "prompt": "Find x: 14(x - 95994) = x", "solution_steps": ["Expand: 14x - 1343916 = x", "Subtract x from both sides: 13x - 1343916 = 0", "Add 1343916 to both sides: 13x = 1343916", "Divide both sides by 13: x = 1343916/13"], "final_answer": "1343916/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 95994) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 95994}", "seed": "6879806762631601212", "semantic_fingerprint": "sha256:b3052eb6543f46472c951c8542e0c6ca25163fbde1f1d077b0a381cba30268be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004936", "prompt": "Find x: x + 90828 = 36(x + 2124)", "solution_steps": ["Expand: x + 90828 = 36x + 76464", "Subtract 36x from both sides: -35x + 90828 = 76464", "Subtract 90828 from both sides: -35x = -14364", "Divide both sides by -35: x = 2052/5"], "final_answer": "2052/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 90828 = 36(x + 2124)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 90828, \"b\": 36, \"c\": 2124}", "seed": "86297363321029685", "semantic_fingerprint": "sha256:4f4a456508371caa561d085327f71385e3754173e7d484d521fc5b9de376efa2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004937", "prompt": "Calculate: 7179 - (17696 + 80219 - (-89420))", "solution_steps": ["Add: 17696 + 80219 = 97915", "Subtract: 97915 - (-89420) = 187335", "Subtract: 7179 - 187335 = -180156"], "final_answer": "-180156", "answer_type": "integer", "kind": "expression", "math_text": "7179 - (17696 + 80219 - (-89420))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7179, \"b\": 17696, \"c\": 80219, \"d\": -89420}", "seed": "13287647953004833465", "semantic_fingerprint": "sha256:7faded24398f097401477b4b7c89867ba46c025086e7988809637da07d28d089", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004938", "prompt": "What value of x satisfies 40(x - 46315) = 26(x - 76583) + 81834?", "solution_steps": ["Expand: 40x - 1852600 = 26(x - 76583) + 81834", "Expand: 40x - 1852600 = 26x - 1991158 + 81834", "Combine constants: 40x - 1852600 = 26x - 1909324", "Subtract 26x from both sides: 14x - 1852600 = -1909324", "Add 1852600 to both sides: 14x = -56724", "Divide both sides by 14: x = -28362/7"], "final_answer": "-28362/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 46315) = 26(x - 76583) + 81834", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 46315, \"c\": 26, \"d\": 76583, \"e\": 81834}", "seed": "15365586767435547807", "semantic_fingerprint": "sha256:7800dc4089b8513aecfeecee28b86195512d4b989f253b48f6d61586d44b9c55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004939", "prompt": "Solve the equation 22x - 9304 = x + 83848 for x.", "solution_steps": ["Subtract x from both sides: 21x - 9304 = 83848", "Add 9304 to both sides: 21x = 93152", "Divide both sides by 21: x = 93152/21"], "final_answer": "93152/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x - 9304 = x + 83848", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 9304, \"c\": 83848}", "seed": "18019326145473165513", "semantic_fingerprint": "sha256:5d6b139484443e1e62644f8ebb00c99eb7c968a33a1bf12eb641851b7e1f5ab9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004940", "prompt": "What is -9521 - (-1751) + 1351 + 8922 * (-1236 / (-7629))?", "solution_steps": ["Subtract: -9521 - (-1751) = -7770", "Add: -7770 + 1351 = -6419", "Divide: -1236 / (-7629) = 412/2543", "Multiply: 8922 * (412/2543) = 3675864/2543", "Add: -6419 + 3675864/2543 = -12647653/2543"], "final_answer": "-12647653/2543", "answer_type": "rational", "kind": "expression", "math_text": "-9521 - (-1751) + 1351 + 8922 * (-1236 / (-7629))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (* n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9521, \"b\": -1751, \"c\": 1351, \"d\": 8922, \"e\": -1236, \"f\": -7629}", "seed": "7277031812087236816", "semantic_fingerprint": "sha256:94aca6afbc6a3350a4071a8bba3062c5de18891b31007459517a96f6726b76b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004941", "prompt": "Compute: -1194 - 8881 + (-57641) + (-97987)", "solution_steps": ["Subtract: -1194 - 8881 = -10075", "Add: -10075 + (-57641) = -67716", "Add: -67716 + (-97987) = -165703"], "final_answer": "-165703", "answer_type": "integer", "kind": "expression", "math_text": "-1194 - 8881 + (-57641) + (-97987)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1194, \"b\": 8881, \"c\": -57641, \"d\": -97987}", "seed": "1222031197401271377", "semantic_fingerprint": "sha256:3c85d73f49a3c0db0289b14b70974642e828f4c38d09e4bcb13f3f9d2a7f7f28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004942", "prompt": "What is 2636 / 8350 - 2348 + 82717?", "solution_steps": ["Divide: 2636 / 8350 = 1318/4175", "Subtract: 1318/4175 - 2348 = -9801582/4175", "Add: -9801582/4175 + 82717 = 335541893/4175"], "final_answer": "335541893/4175", "answer_type": "rational", "kind": "expression", "math_text": "2636 / 8350 - 2348 + 82717", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2636, \"b\": 8350, \"c\": 2348, \"d\": 82717}", "seed": "7556164061141859275", "semantic_fingerprint": "sha256:c4231f1cc2c34e365cf7dd02f16a3c8b936733655bafc5ffd84dd0127efb56ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004943", "prompt": "Compute: -43688 - (-6912) * 75840", "solution_steps": ["Multiply: -6912 * 75840 = -524206080", "Subtract: -43688 - (-524206080) = 524162392"], "final_answer": "524162392", "answer_type": "integer", "kind": "expression", "math_text": "-43688 - (-6912) * 75840", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43688, \"b\": -6912, \"c\": 75840}", "seed": "9664575785602447285", "semantic_fingerprint": "sha256:98f93d382c6a914e73579fa5806b13c29820c2769332e68e38adb22819977a86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004944", "prompt": "Solve for x: -22x + 40757 = x + 41447", "solution_steps": ["Subtract x from both sides: -23x + 40757 = 41447", "Subtract 40757 from both sides: -23x = 690", "Divide both sides by -23: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x + 40757 = x + 41447", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 40757, \"d\": 41447, \"x\": -30}", "seed": "4843874799663900279", "semantic_fingerprint": "sha256:32f05881d8463a281231f49c6eac92d3dcf450ce68b23fb15144d55f0f02c7c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004945", "prompt": "Evaluate: 7092 - 91094 * (-75994)", "solution_steps": ["Multiply: 91094 * (-75994) = -6922597436", "Subtract: 7092 - (-6922597436) = 6922604528"], "final_answer": "6922604528", "answer_type": "integer", "kind": "expression", "math_text": "7092 - 91094 * (-75994)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7092, \"b\": 91094, \"c\": -75994}", "seed": "3644965487311872755", "semantic_fingerprint": "sha256:bbbe296a45b6ded63d5ce8f31487e29bfff60cb6fdcfa65dc577f8d4a75d7bfe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004946", "prompt": "What is 67074 - 5867?", "solution_steps": ["Subtract: 67074 - 5867 = 61207"], "final_answer": "61207", "answer_type": "integer", "kind": "expression", "math_text": "67074 - 5867", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 67074, \"b\": 5867}", "seed": "18244903362724466839", "semantic_fingerprint": "sha256:a467f2f3c72e546700704913ac5ea7a38c9d46d9cd486729b84ddaec44202056", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004947", "prompt": "What is (-9145 - (14075 - 3528)) * (-15906) - (-9968)?", "solution_steps": ["Subtract: 14075 - 3528 = 10547", "Subtract: -9145 - 10547 = -19692", "Multiply: -19692 * (-15906) = 313220952", "Subtract: 313220952 - (-9968) = 313230920"], "final_answer": "313230920", "answer_type": "integer", "kind": "expression", "math_text": "(-9145 - (14075 - 3528)) * (-15906) - (-9968)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9145, \"b\": 14075, \"c\": 3528, \"d\": -15906, \"e\": -9968}", "seed": "13680912958935020802", "semantic_fingerprint": "sha256:c51da4139056ee9ff0840bb1189a6fba7274c7cb88e14d9bd6ec1ece31c07577", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004948", "prompt": "Calculate: 2912 - (-53024)", "solution_steps": ["Subtract: 2912 - (-53024) = 55936"], "final_answer": "55936", "answer_type": "integer", "kind": "expression", "math_text": "2912 - (-53024)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2912, \"b\": -53024}", "seed": "12791951770042709191", "semantic_fingerprint": "sha256:353d0a60797c1acdb07d28a56ce1499170d151265dcd0e44fa8baed5af0153d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004949", "prompt": "Find x: x = 32(x - 49463)", "solution_steps": ["Expand: x = 32x - 1582816", "Subtract 32x from both sides: -31x = -1582816", "Divide both sides by -31: x = 1582816/31"], "final_answer": "1582816/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 32(x - 49463)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 49463}", "seed": "5325498535739926353", "semantic_fingerprint": "sha256:81119125e4394e1417760a2d1f5148db52721b31ca0a30f5ddebaebd28bb191b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004950", "prompt": "What is (-2705 - (-9049) - 31823) / (-69851 / (-2658))?", "solution_steps": ["Subtract: -2705 - (-9049) = 6344", "Subtract: 6344 - 31823 = -25479", "Divide: -69851 / (-2658) = 69851/2658", "Divide: -25479 / (69851/2658) = -67723182/69851"], "final_answer": "-67723182/69851", "answer_type": "rational", "kind": "expression", "math_text": "(-2705 - (-9049) - 31823) / (-69851 / (-2658))", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2705, \"b\": -9049, \"c\": 31823, \"d\": -69851, \"e\": -2658}", "seed": "9755639771431161285", "semantic_fingerprint": "sha256:448004230979393f2441f1f3ccf9d4a1a973dad800e31e21615265d36b29beaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004951", "prompt": "What value of x satisfies -16(x - 5192) + 2723 = 19(x + 49250) + 8633?", "solution_steps": ["Expand: -16x + 83072 + 2723 = 19(x + 49250) + 8633", "Expand: -16x + 83072 + 2723 = 19x + 935750 + 8633", "Combine constants: -16x + 85795 = 19x + 935750 + 8633", "Combine constants: -16x + 85795 = 19x + 944383", "Subtract 19x from both sides: -35x + 85795 = 944383", "Subtract 85795 from both sides: -35x = 858588", "Divide both sides by -35: x = -858588/35"], "final_answer": "-858588/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x - 5192) + 2723 = 19(x + 49250) + 8633", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 5192, \"c\": 2723, \"d\": 19, \"e\": 49250, \"f\": 8633}", "seed": "9969990848350140787", "semantic_fingerprint": "sha256:78d54a983619f22875713ea88a196af6a0981cd97a56022db3ad3da6b5a05d05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004952", "prompt": "Solve for x: -23(x - 3250) - 8018 = 67997", "solution_steps": ["Expand: -23x + 74750 - 8018 = 67997", "Combine constants: -23x + 66732 = 67997", "Subtract 66732 from both sides: -23x = 1265", "Divide both sides by -23: x = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23(x - 3250) - 8018 = 67997", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 3250, \"c\": 8018, \"e\": 67997, \"x\": -55}", "seed": "1148087508304481059", "semantic_fingerprint": "sha256:934f25c0efe93921ad67023ea658a1f5e39de179c608c275ec4310b688a1c7c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004953", "prompt": "Compute: 5627 * (-2874 * (-5166 + 5209))", "solution_steps": ["Add: -5166 + 5209 = 43", "Multiply: -2874 * 43 = -123582", "Multiply: 5627 * (-123582) = -695395914"], "final_answer": "-695395914", "answer_type": "integer", "kind": "expression", "math_text": "5627 * (-2874 * (-5166 + 5209))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5627, \"b\": -2874, \"c\": -5166, \"d\": 5209}", "seed": "115760450516602769", "semantic_fingerprint": "sha256:5f08696011d50e6832e9f6423272da908d61767c3306fc75a45be3cfbb25c08c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004954", "prompt": "Compute: -8282 - 3426 - (-31652) - 38434", "solution_steps": ["Subtract: -8282 - 3426 = -11708", "Subtract: -11708 - (-31652) = 19944", "Subtract: 19944 - 38434 = -18490"], "final_answer": "-18490", "answer_type": "integer", "kind": "expression", "math_text": "-8282 - 3426 - (-31652) - 38434", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8282, \"b\": 3426, \"c\": -31652, \"d\": 38434}", "seed": "3764821494475055418", "semantic_fingerprint": "sha256:e22b359d770bdc03986a93c701f32995a1c7b8c02b1ef16e3b3374a9e4c02889", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004955", "prompt": "What is (2566 + 63617) * 8762?", "solution_steps": ["Add: 2566 + 63617 = 66183", "Multiply: 66183 * 8762 = 579895446"], "final_answer": "579895446", "answer_type": "integer", "kind": "expression", "math_text": "(2566 + 63617) * 8762", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2566, \"b\": 63617, \"c\": 8762}", "seed": "7471579019291992792", "semantic_fingerprint": "sha256:80efd53946d21e092e637015ca23b08c5f87678d49b31b89b4f2ce170f89d40b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004956", "prompt": "Calculate: (-4362 - (7228 + (-69580 - 4221))) / (2100 / (-8666))", "solution_steps": ["Subtract: -69580 - 4221 = -73801", "Add: 7228 + (-73801) = -66573", "Subtract: -4362 - (-66573) = 62211", "Divide: 2100 / (-8666) = -150/619", "Divide: 62211 / (-150/619) = -12836203/50"], "final_answer": "-12836203/50", "answer_type": "rational", "kind": "expression", "math_text": "(-4362 - (7228 + (-69580 - 4221))) / (2100 / (-8666))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n (- n n))) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4362, \"b\": 7228, \"c\": -69580, \"d\": 4221, \"e\": 2100, \"f\": -8666}", "seed": "15753534092552373010", "semantic_fingerprint": "sha256:5315e5e36443dd45209ebeb68a4d5a521dcdf940243ddb7ffb4dcf1b32f1e4a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004957", "prompt": "Evaluate: 6215 / 44371 + 77644", "solution_steps": ["Divide: 6215 / 44371 = 6215/44371", "Add: 6215/44371 + 77644 = 3445148139/44371"], "final_answer": "3445148139/44371", "answer_type": "rational", "kind": "expression", "math_text": "6215 / 44371 + 77644", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6215, \"b\": 44371, \"c\": 77644}", "seed": "383556343476153914", "semantic_fingerprint": "sha256:65e0fd3f63db6c8a7ce41f0e47105e6a0e2fbebca076c5f8566501719a137baa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004958", "prompt": "What value of x satisfies x + 4459 = -15x + 4827?", "solution_steps": ["Add 15x to both sides: 16x + 4459 = 4827", "Subtract 4459 from both sides: 16x = 368", "Divide both sides by 16: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4459 = -15x + 4827", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4459, \"b\": -15, \"d\": 4827, \"x\": 23}", "seed": "9390563325692306211", "semantic_fingerprint": "sha256:7a756be325a5b2470d0d7325d4a3bba144fe22c3c72463be4628fbad8a1acf36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004959", "prompt": "Calculate: -40418 - 61035 * (2279 * (-9156) / 3610)", "solution_steps": ["Multiply: 2279 * (-9156) = -20866524", "Divide: -20866524 / 3610 = -10433262/1805", "Multiply: 61035 * (-10433262/1805) = -127358829234/361", "Subtract: -40418 - (-127358829234/361) = 127344238336/361"], "final_answer": "127344238336/361", "answer_type": "rational", "kind": "expression", "math_text": "-40418 - 61035 * (2279 * (-9156) / 3610)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40418, \"b\": 61035, \"c\": 2279, \"d\": -9156, \"e\": 3610}", "seed": "2434051226897876291", "semantic_fingerprint": "sha256:47c5cd4646d22b29491306c25e2cabeacd97b0d844b3c6d0fd90e6dc88b2d7a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004960", "prompt": "Calculate: (-83986 + (-5479)) / (15322 + 2378 + (86239 - 9694))", "solution_steps": ["Add: -83986 + (-5479) = -89465", "Add: 15322 + 2378 = 17700", "Subtract: 86239 - 9694 = 76545", "Add: 17700 + 76545 = 94245", "Divide: -89465 / 94245 = -17893/18849"], "final_answer": "-17893/18849", "answer_type": "rational", "kind": "expression", "math_text": "(-83986 + (-5479)) / (15322 + 2378 + (86239 - 9694))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -83986, \"b\": -5479, \"c\": 15322, \"d\": 2378, \"e\": 86239, \"f\": 9694}", "seed": "15376156243243606401", "semantic_fingerprint": "sha256:7a6ec20824039c68fc625ac3ddcdff7d9767f9ba152a848d7f54c7d9b8564e27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004961", "prompt": "Evaluate: -52409 + 6133 + (-6456) * (8628 - 6779)", "solution_steps": ["Add: -52409 + 6133 = -46276", "Subtract: 8628 - 6779 = 1849", "Multiply: -6456 * 1849 = -11937144", "Add: -46276 + (-11937144) = -11983420"], "final_answer": "-11983420", "answer_type": "integer", "kind": "expression", "math_text": "-52409 + 6133 + (-6456) * (8628 - 6779)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -52409, \"b\": 6133, \"c\": -6456, \"d\": 8628, \"e\": 6779}", "seed": "738253733448179367", "semantic_fingerprint": "sha256:1f847fe6b046cfbf0c5f05c92c2d8b432c15575099aebe5329257a66097a3468", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004962", "prompt": "Compute: 5078 * (-61420)", "solution_steps": ["Multiply: 5078 * (-61420) = -311890760"], "final_answer": "-311890760", "answer_type": "integer", "kind": "expression", "math_text": "5078 * (-61420)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5078, \"b\": -61420}", "seed": "1509661799747281448", "semantic_fingerprint": "sha256:da2737c89e552d0885dad50616e7ca441db42ed994bf287e3e37ec0d1e3ba554", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004963", "prompt": "Calculate: 82502 - (1771 - (-25444))", "solution_steps": ["Subtract: 1771 - (-25444) = 27215", "Subtract: 82502 - 27215 = 55287"], "final_answer": "55287", "answer_type": "integer", "kind": "expression", "math_text": "82502 - (1771 - (-25444))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82502, \"b\": 1771, \"c\": -25444}", "seed": "7615350012075477792", "semantic_fingerprint": "sha256:8f726018a65e815e2b32d53aae4926964eb86796bef247700ee81445ccaa8a00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004964", "prompt": "What is -4814 - 5615 + (-4595)?", "solution_steps": ["Subtract: -4814 - 5615 = -10429", "Add: -10429 + (-4595) = -15024"], "final_answer": "-15024", "answer_type": "integer", "kind": "expression", "math_text": "-4814 - 5615 + (-4595)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4814, \"b\": 5615, \"c\": -4595}", "seed": "12925705700480325412", "semantic_fingerprint": "sha256:952952158af533ed518623557edc8b4ea94571e5987956619fe06e9d1ace84b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004965", "prompt": "Solve the equation 28x = x - 1593 for x.", "solution_steps": ["Subtract x from both sides: 27x = -1593", "Divide both sides by 27: x = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = x - 1593", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": -1593, \"x\": -59}", "seed": "15147418720532693627", "semantic_fingerprint": "sha256:624d303f1d9d339a164511cdb595a6657905bd3b40732b9d7499d6a771d2b6e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004966", "prompt": "Solve the equation -40x + 43235 = 26(x + 1903) - 23497 for x.", "solution_steps": ["Expand: -40x + 43235 = 26x + 49478 - 23497", "Combine constants: -40x + 43235 = 26x + 25981", "Subtract 26x from both sides: -66x + 43235 = 25981", "Subtract 43235 from both sides: -66x = -17254", "Divide both sides by -66: x = 8627/33"], "final_answer": "8627/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40x + 43235 = 26(x + 1903) - 23497", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 43235, \"c\": 26, \"d\": 1903, \"e\": 23497}", "seed": "13044644512432925227", "semantic_fingerprint": "sha256:ec7032d4b62f75f4fa9696f4635373ba5ccc6b912eab2cd1250e43b97ad10cf2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004967", "prompt": "Find x: 19(x + 71874) + 14729 = 31(x - 1356)", "solution_steps": ["Expand: 19x + 1365606 + 14729 = 31(x - 1356)", "Expand: 19x + 1365606 + 14729 = 31x - 42036", "Combine constants: 19x + 1380335 = 31x - 42036", "Subtract 31x from both sides: -12x + 1380335 = -42036", "Subtract 1380335 from both sides: -12x = -1422371", "Divide both sides by -12: x = 1422371/12"], "final_answer": "1422371/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 71874) + 14729 = 31(x - 1356)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 71874, \"c\": 14729, \"d\": 31, \"e\": 1356}", "seed": "11254016171989668668", "semantic_fingerprint": "sha256:9462a9cffabc045fcb0b51272eed9362afc366bdb1db51496986546ef640657b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004968", "prompt": "What is -2879 - (5621 + 36050)?", "solution_steps": ["Add: 5621 + 36050 = 41671", "Subtract: -2879 - 41671 = -44550"], "final_answer": "-44550", "answer_type": "integer", "kind": "expression", "math_text": "-2879 - (5621 + 36050)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2879, \"b\": 5621, \"c\": 36050}", "seed": "4426858930206122926", "semantic_fingerprint": "sha256:e1f874a6fdc6044deb049f7d2e4734fa950eaf66748d94580afb773be6167e8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004969", "prompt": "Compute: -3396 + 89263 * 1684", "solution_steps": ["Multiply: 89263 * 1684 = 150318892", "Add: -3396 + 150318892 = 150315496"], "final_answer": "150315496", "answer_type": "integer", "kind": "expression", "math_text": "-3396 + 89263 * 1684", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3396, \"b\": 89263, \"c\": 1684}", "seed": "330471292317769011", "semantic_fingerprint": "sha256:55ccb4af67a2dd312892c8ff8e9cd9eeb9b9d898abb57587dff8085453088932", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004970", "prompt": "What is (4108 - (-4875)) / (-1765) * (-6319 + 32833)?", "solution_steps": ["Subtract: 4108 - (-4875) = 8983", "Divide: 8983 / (-1765) = -8983/1765", "Add: -6319 + 32833 = 26514", "Multiply: (-8983/1765) * 26514 = -238175262/1765"], "final_answer": "-238175262/1765", "answer_type": "rational", "kind": "expression", "math_text": "(4108 - (-4875)) / (-1765) * (-6319 + 32833)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4108, \"b\": -4875, \"c\": -1765, \"d\": -6319, \"e\": 32833}", "seed": "18254909910973788199", "semantic_fingerprint": "sha256:7681214746e46aaa4d5843ec02cf18e183d4538f13caf730f1917d3cdfe69ed6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004971", "prompt": "Evaluate: 2262 - (-26452)", "solution_steps": ["Subtract: 2262 - (-26452) = 28714"], "final_answer": "28714", "answer_type": "integer", "kind": "expression", "math_text": "2262 - (-26452)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2262, \"b\": -26452}", "seed": "11367690935746875319", "semantic_fingerprint": "sha256:11725135f9822cc642e21724218d4012d6bf0bf55aede0ddfb32c0ebff69243d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004972", "prompt": "What is 6965 / (-4638)?", "solution_steps": ["Divide: 6965 / (-4638) = -6965/4638"], "final_answer": "-6965/4638", "answer_type": "rational", "kind": "expression", "math_text": "6965 / (-4638)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6965, \"b\": -4638}", "seed": "17523234450305347655", "semantic_fingerprint": "sha256:44901d8c677478cd892a7845aff33bb7f38f5a9218e9e5cd709e39d62bd0d3fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004973", "prompt": "What value of x satisfies -31x - 4877 = 36(x + 7350) - 5239?", "solution_steps": ["Expand: -31x - 4877 = 36x + 264600 - 5239", "Combine constants: -31x - 4877 = 36x + 259361", "Subtract 36x from both sides: -67x - 4877 = 259361", "Add 4877 to both sides: -67x = 264238", "Divide both sides by -67: x = -264238/67"], "final_answer": "-264238/67", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x - 4877 = 36(x + 7350) - 5239", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 4877, \"c\": 36, \"d\": 7350, \"e\": 5239}", "seed": "15968798386961562021", "semantic_fingerprint": "sha256:4af6617b94dfa99fdebbd6b4f7addc5a162766a29b2b18da93eafce857145823", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004974", "prompt": "Evaluate: -4253 - (-6729 + 61879 + 82324 - 3791)", "solution_steps": ["Add: -6729 + 61879 = 55150", "Add: 55150 + 82324 = 137474", "Subtract: 137474 - 3791 = 133683", "Subtract: -4253 - 133683 = -137936"], "final_answer": "-137936", "answer_type": "integer", "kind": "expression", "math_text": "-4253 - (-6729 + 61879 + 82324 - 3791)", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4253, \"b\": -6729, \"c\": 61879, \"d\": 82324, \"e\": 3791}", "seed": "7468296869264576759", "semantic_fingerprint": "sha256:ee559f21871e0e433fc5dc8b3a0c26c14bb291a60e33fe701a3e3f195be6a7a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004975", "prompt": "Evaluate: 9726 + (-19427) / (-44530)", "solution_steps": ["Divide: -19427 / (-44530) = 19427/44530", "Add: 9726 + 19427/44530 = 433118207/44530"], "final_answer": "433118207/44530", "answer_type": "rational", "kind": "expression", "math_text": "9726 + (-19427) / (-44530)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9726, \"b\": -19427, \"c\": -44530}", "seed": "10817595871909646637", "semantic_fingerprint": "sha256:6f5e97fe72c4c89bbe572381780cc4965748229756215f3aa2b478357abf7e9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004976", "prompt": "Solve the equation 19(x - 7258) + 8842 = 26(x - 1624) - 85828 for x.", "solution_steps": ["Expand: 19x - 137902 + 8842 = 26(x - 1624) - 85828", "Expand: 19x - 137902 + 8842 = 26x - 42224 - 85828", "Combine constants: 19x - 129060 = 26x - 42224 - 85828", "Combine constants: 19x - 129060 = 26x - 128052", "Subtract 26x from both sides: -7x - 129060 = -128052", "Add 129060 to both sides: -7x = 1008", "Divide both sides by -7: x = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 7258) + 8842 = 26(x - 1624) - 85828", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7258, \"c\": 8842, \"d\": 26, \"e\": 1624, \"g\": -85828, \"x\": -144}", "seed": "420752600185895452", "semantic_fingerprint": "sha256:a32fe6018b8f046cfcd1289078691764056bac4e03180f9c4d3367335f70e1d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004977", "prompt": "What is 5940 * (5135 * (-1950))?", "solution_steps": ["Multiply: 5135 * (-1950) = -10013250", "Multiply: 5940 * (-10013250) = -59478705000"], "final_answer": "-59478705000", "answer_type": "integer", "kind": "expression", "math_text": "5940 * (5135 * (-1950))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5940, \"b\": 5135, \"c\": -1950}", "seed": "15831882834730508331", "semantic_fingerprint": "sha256:41925737aa2aee6cd24f757532e79e19f82015276489270e9cb7494d75cc6dec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004978", "prompt": "Find x: 13x = 17(x + 8722)", "solution_steps": ["Expand: 13x = 17x + 148274", "Subtract 17x from both sides: -4x = 148274", "Divide both sides by -4: x = -74137/2"], "final_answer": "-74137/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 17(x + 8722)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 17, \"c\": 8722}", "seed": "14314888798843884247", "semantic_fingerprint": "sha256:8eb1374787a62a6aa580b206d7267c4d39a02c8aa5b52a6c2ecff1e67646b3d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004979", "prompt": "Solve for x: -22x = x - 1771", "solution_steps": ["Subtract x from both sides: -23x = -1771", "Divide both sides by -23: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x = x - 1771", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"c\": -1771, \"x\": 77}", "seed": "489497070531383140", "semantic_fingerprint": "sha256:bd9435d74494f94456718fdbb83f07f8097880dab3909f6251a5641c431edd5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004980", "prompt": "Solve for x: 39(x + 3032) - 40849 = -25(x + 65655)", "solution_steps": ["Expand: 39x + 118248 - 40849 = -25(x + 65655)", "Expand: 39x + 118248 - 40849 = -25x - 1641375", "Combine constants: 39x + 77399 = -25x - 1641375", "Add 25x to both sides: 64x + 77399 = -1641375", "Subtract 77399 from both sides: 64x = -1718774", "Divide both sides by 64: x = -859387/32"], "final_answer": "-859387/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 3032) - 40849 = -25(x + 65655)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 3032, \"c\": 40849, \"d\": -25, \"e\": 65655}", "seed": "9006164005595315655", "semantic_fingerprint": "sha256:c81fd2ea05bbd3cdb034fe3c579dbbc7413667a0389f0868f8f43a7f9ebb5e97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004981", "prompt": "What is 1654 * (41333 * (-8735))?", "solution_steps": ["Multiply: 41333 * (-8735) = -361043755", "Multiply: 1654 * (-361043755) = -597166370770"], "final_answer": "-597166370770", "answer_type": "integer", "kind": "expression", "math_text": "1654 * (41333 * (-8735))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1654, \"b\": 41333, \"c\": -8735}", "seed": "2029029838438693583", "semantic_fingerprint": "sha256:d4832b17860975362b36b95b199fc5f73aae5941898ebf56fac2ff6c17310d41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004982", "prompt": "Evaluate: (49463 - (-7441)) * (8032 + (-36500))", "solution_steps": ["Subtract: 49463 - (-7441) = 56904", "Add: 8032 + (-36500) = -28468", "Multiply: 56904 * (-28468) = -1619943072"], "final_answer": "-1619943072", "answer_type": "integer", "kind": "expression", "math_text": "(49463 - (-7441)) * (8032 + (-36500))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 49463, \"b\": -7441, \"c\": 8032, \"d\": -36500}", "seed": "292366294947780195", "semantic_fingerprint": "sha256:e99e31ed01cf8e16051d826e8f38dbb1a0866d91eb14e7fbe9cb8ac7715ae6d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004983", "prompt": "Calculate: 3638 + (7862 + 9994 / 6973)", "solution_steps": ["Divide: 9994 / 6973 = 526/367", "Add: 7862 + 526/367 = 2885880/367", "Add: 3638 + 2885880/367 = 4221026/367"], "final_answer": "4221026/367", "answer_type": "rational", "kind": "expression", "math_text": "3638 + (7862 + 9994 / 6973)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3638, \"b\": 7862, \"c\": 9994, \"d\": 6973}", "seed": "5874799817366171788", "semantic_fingerprint": "sha256:70bbca2b5696930ba2a49950ce55db71693b482c4831789ae9c267697482ca19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004984", "prompt": "Compute: -7743 * (-7783 * (-3343))", "solution_steps": ["Multiply: -7783 * (-3343) = 26018569", "Multiply: -7743 * 26018569 = -201461779767"], "final_answer": "-201461779767", "answer_type": "integer", "kind": "expression", "math_text": "-7743 * (-7783 * (-3343))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7743, \"b\": -7783, \"c\": -3343}", "seed": "8295446892962723513", "semantic_fingerprint": "sha256:d91686b753b516e9dfdb756b2bb15e6f080fc4cdc78e0e46d1a01437257e6725", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004985", "prompt": "Evaluate: -71082 + (97042 + (-37594) + 22563)", "solution_steps": ["Add: 97042 + (-37594) = 59448", "Add: 59448 + 22563 = 82011", "Add: -71082 + 82011 = 10929"], "final_answer": "10929", "answer_type": "integer", "kind": "expression", "math_text": "-71082 + (97042 + (-37594) + 22563)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71082, \"b\": 97042, \"c\": -37594, \"d\": 22563}", "seed": "4443592930812543246", "semantic_fingerprint": "sha256:fb9ff537619688debb447c173176a2fb377292722dcf5d45b9df8030072e0eea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004986", "prompt": "Find x: -30(x - 20453) = 6659", "solution_steps": ["Expand: -30x + 613590 = 6659", "Subtract 613590 from both sides: -30x = -606931", "Divide both sides by -30: x = 606931/30"], "final_answer": "606931/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 20453) = 6659", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 20453, \"c\": 6659}", "seed": "3463931733535892507", "semantic_fingerprint": "sha256:fa474864482657431e589af17b28321f15f489bf93871ceb42eed139bc36efc9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004987", "prompt": "Calculate: -40103 * (-24827)", "solution_steps": ["Multiply: -40103 * (-24827) = 995637181"], "final_answer": "995637181", "answer_type": "integer", "kind": "expression", "math_text": "-40103 * (-24827)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -40103, \"b\": -24827}", "seed": "17897231790259085130", "semantic_fingerprint": "sha256:8ae9149d0b6278d044082fe6547eff7125e6b55a0680572e9718c0236805b323", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004988", "prompt": "Solve the equation -29(x + 6805) = x for x.", "solution_steps": ["Expand: -29x - 197345 = x", "Subtract x from both sides: -30x - 197345 = 0", "Add 197345 to both sides: -30x = 197345", "Divide both sides by -30: x = -39469/6"], "final_answer": "-39469/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x + 6805) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 6805}", "seed": "15239634725267619286", "semantic_fingerprint": "sha256:e8bfffcd05166478a775069c152d4b08a0d3338c3f7dd0b28ec4d5161054af23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004989", "prompt": "What is -8703 + (-49401) * (-66336) / (-5311)?", "solution_steps": ["Multiply: -49401 * (-66336) = 3277064736", "Divide: 3277064736 / (-5311) = -3277064736/5311", "Add: -8703 + (-3277064736/5311) = -3323286369/5311"], "final_answer": "-3323286369/5311", "answer_type": "rational", "kind": "expression", "math_text": "-8703 + (-49401) * (-66336) / (-5311)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8703, \"b\": -49401, \"c\": -66336, \"d\": -5311}", "seed": "15358230155354210778", "semantic_fingerprint": "sha256:84c0f12a43e5099d65d62d7f5ea37087a7ded42252d8470fb0333862d1fe1315", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004990", "prompt": "Solve for x: 19x + 7530 = x + 4452", "solution_steps": ["Subtract x from both sides: 18x + 7530 = 4452", "Subtract 7530 from both sides: 18x = -3078", "Divide both sides by 18: x = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 7530 = x + 4452", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7530, \"d\": 4452, \"x\": -171}", "seed": "15360827773274979495", "semantic_fingerprint": "sha256:28a2d4c86665361f3339902a23eec0f37dd7a8556a7151146b0edbea1dd0a3c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004991", "prompt": "Calculate: -3906 + 7750", "solution_steps": ["Add: -3906 + 7750 = 3844"], "final_answer": "3844", "answer_type": "integer", "kind": "expression", "math_text": "-3906 + 7750", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3906, \"b\": 7750}", "seed": "14517763652567292012", "semantic_fingerprint": "sha256:58fbf92b6f1eb0a6ad33b32589d567c1e7b17d6c9563fb236f2dd80ac65a71f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004992", "prompt": "Evaluate: (75324 + 2395) * (-8944)", "solution_steps": ["Add: 75324 + 2395 = 77719", "Multiply: 77719 * (-8944) = -695118736"], "final_answer": "-695118736", "answer_type": "integer", "kind": "expression", "math_text": "(75324 + 2395) * (-8944)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75324, \"b\": 2395, \"c\": -8944}", "seed": "1696126798062457921", "semantic_fingerprint": "sha256:014de0e1a78c047cdef76ffbe082435d95a5adc340032c2fbdf2d13d8aa70a8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004993", "prompt": "Compute: -9030 - (-86881) / 28429", "solution_steps": ["Divide: -86881 / 28429 = -86881/28429", "Subtract: -9030 - (-86881/28429) = -256626989/28429"], "final_answer": "-256626989/28429", "answer_type": "rational", "kind": "expression", "math_text": "-9030 - (-86881) / 28429", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9030, \"b\": -86881, \"c\": 28429}", "seed": "15770107253544373065", "semantic_fingerprint": "sha256:2853f8c08bc4fc064ba21cc67c90c9353cd949b11dd8e9d7c8bf6641cbf70538", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004994", "prompt": "Solve the equation -23x - 8478 = x - 11262 for x.", "solution_steps": ["Subtract x from both sides: -24x - 8478 = -11262", "Add 8478 to both sides: -24x = -2784", "Divide both sides by -24: x = 116"], "final_answer": "116", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x - 8478 = x - 11262", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 8478, \"d\": -11262, \"x\": 116}", "seed": "9341218580058664951", "semantic_fingerprint": "sha256:bb75255b9cacadafa9994f78f0d708e233b53534497a846a570db9cde75de384", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004995", "prompt": "Evaluate: 7783 / (3955 / 83695) * 3686", "solution_steps": ["Divide: 3955 / 83695 = 791/16739", "Divide: 7783 / (791/16739) = 130279637/791", "Multiply: (130279637/791) * 3686 = 480210741982/791"], "final_answer": "480210741982/791", "answer_type": "rational", "kind": "expression", "math_text": "7783 / (3955 / 83695) * 3686", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7783, \"b\": 3955, \"c\": 83695, \"d\": 3686}", "seed": "15737896527879784711", "semantic_fingerprint": "sha256:2429cf252ffcea73618dbe5d810692ed1ce1c7611843fb3acf8ddd7fc3ee3c97", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004996", "prompt": "What is (31324 * 3082 - 3888 + (-40431) * 70824) / (-6536)?", "solution_steps": ["Multiply: 31324 * 3082 = 96540568", "Subtract: 96540568 - 3888 = 96536680", "Multiply: -40431 * 70824 = -2863485144", "Add: 96536680 + (-2863485144) = -2766948464", "Divide: -2766948464 / (-6536) = 345868558/817"], "final_answer": "345868558/817", "answer_type": "rational", "kind": "expression", "math_text": "(31324 * 3082 - 3888 + (-40431) * 70824) / (-6536)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (* n n) n) (* n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31324, \"b\": 3082, \"c\": 3888, \"d\": -40431, \"e\": 70824, \"f\": -6536}", "seed": "12079078463509825117", "semantic_fingerprint": "sha256:7fef4a069f037f4099b9b4b8bbe0b6c95f0ac44360af0b55cffbc5e05c78edf8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004997", "prompt": "Evaluate: 40606 + (-97059)", "solution_steps": ["Add: 40606 + (-97059) = -56453"], "final_answer": "-56453", "answer_type": "integer", "kind": "expression", "math_text": "40606 + (-97059)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 40606, \"b\": -97059}", "seed": "9802530808643849875", "semantic_fingerprint": "sha256:ba4f5bd8c258d6751b98ff940b1225d1546d29f2194c699c35e8fc02b4974aa4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004998", "prompt": "Calculate: (-6250 * 1753 - (3106 + (-3581))) * (-3752 + 84071)", "solution_steps": ["Multiply: -6250 * 1753 = -10956250", "Add: 3106 + (-3581) = -475", "Subtract: -10956250 - (-475) = -10955775", "Add: -3752 + 84071 = 80319", "Multiply: -10955775 * 80319 = -879956892225"], "final_answer": "-879956892225", "answer_type": "integer", "kind": "expression", "math_text": "(-6250 * 1753 - (3106 + (-3581))) * (-3752 + 84071)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6250, \"b\": 1753, \"c\": 3106, \"d\": -3581, \"e\": -3752, \"f\": 84071}", "seed": "12131588205838412250", "semantic_fingerprint": "sha256:faeb3c8c11936bfcf4ecc83809ab5ea1d9e90c606b4e79e203d40215ef78ad8f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00004999", "prompt": "What is -9167 + (-2719) / 8574?", "solution_steps": ["Divide: -2719 / 8574 = -2719/8574", "Add: -9167 + (-2719/8574) = -78600577/8574"], "final_answer": "-78600577/8574", "answer_type": "rational", "kind": "expression", "math_text": "-9167 + (-2719) / 8574", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9167, \"b\": -2719, \"c\": 8574}", "seed": "15337635826673548844", "semantic_fingerprint": "sha256:9ff9725eaea7ec807bb2c18bad2a2d3049ba481b58edafcfe36bebda253dc5da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005000", "prompt": "Evaluate: 33140 + 68858 - ((-4239 + 3019) * (-24427) - (-78176))", "solution_steps": ["Add: 33140 + 68858 = 101998", "Add: -4239 + 3019 = -1220", "Multiply: -1220 * (-24427) = 29800940", "Subtract: 29800940 - (-78176) = 29879116", "Subtract: 101998 - 29879116 = -29777118"], "final_answer": "-29777118", "answer_type": "integer", "kind": "expression", "math_text": "33140 + 68858 - ((-4239 + 3019) * (-24427) - (-78176))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (* (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33140, \"b\": 68858, \"c\": -4239, \"d\": 3019, \"e\": -24427, \"f\": -78176}", "seed": "16754384966283646166", "semantic_fingerprint": "sha256:190fd0baae2ca8b1552935f7d095ad726a1cefb1e198c4b4782214979be4b992", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005001", "prompt": "Find x: 21x + 8599 = 6020", "solution_steps": ["Subtract 8599 from both sides: 21x = -2579", "Divide both sides by 21: x = -2579/21"], "final_answer": "-2579/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 8599 = 6020", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 8599, \"c\": 6020}", "seed": "11846779287085481948", "semantic_fingerprint": "sha256:cfb935ad9390da32dd9d4720653ace07a5468144ae4c19ace8454c36f1d8b080", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005002", "prompt": "Find x: 36(x - 1062) - 56593 = -88273", "solution_steps": ["Expand: 36x - 38232 - 56593 = -88273", "Combine constants: 36x - 94825 = -88273", "Add 94825 to both sides: 36x = 6552", "Divide both sides by 36: x = 182"], "final_answer": "182", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x - 1062) - 56593 = -88273", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1062, \"c\": 56593, \"e\": -88273, \"x\": 182}", "seed": "10371789101045968905", "semantic_fingerprint": "sha256:528156af255db049093d15ab96852d856fbd5bbb82964cfd9052a92ccd85cfbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005003", "prompt": "Compute: 50171 - (-3004 / 33046 + (-70371))", "solution_steps": ["Divide: -3004 / 33046 = -1502/16523", "Add: -1502/16523 + (-70371) = -1162741535/16523", "Subtract: 50171 - (-1162741535/16523) = 1991716968/16523"], "final_answer": "1991716968/16523", "answer_type": "rational", "kind": "expression", "math_text": "50171 - (-3004 / 33046 + (-70371))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50171, \"b\": -3004, \"c\": 33046, \"d\": -70371}", "seed": "12278218351688474435", "semantic_fingerprint": "sha256:f46d95b52736490e6de5010147095be77e10655fadee083bba95ad99880e86e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005004", "prompt": "Evaluate: -3791 - (-17423 + (-5607))", "solution_steps": ["Add: -17423 + (-5607) = -23030", "Subtract: -3791 - (-23030) = 19239"], "final_answer": "19239", "answer_type": "integer", "kind": "expression", "math_text": "-3791 - (-17423 + (-5607))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3791, \"b\": -17423, \"c\": -5607}", "seed": "6482130662632135467", "semantic_fingerprint": "sha256:05c5fb0b97e94f4b570c0b7ed00e42abead06e442682b374fd3170988e87c8ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005005", "prompt": "Evaluate: 4063 - 7040 + (-85216)", "solution_steps": ["Subtract: 4063 - 7040 = -2977", "Add: -2977 + (-85216) = -88193"], "final_answer": "-88193", "answer_type": "integer", "kind": "expression", "math_text": "4063 - 7040 + (-85216)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4063, \"b\": 7040, \"c\": -85216}", "seed": "13153815731631343594", "semantic_fingerprint": "sha256:8ef404d27db0f6b3d384437fb595f1b85ddbce1d5f5e2f5da2125b0003e01a76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005006", "prompt": "Calculate: 54897 + (-95156) + (-4435) * (-9322)", "solution_steps": ["Add: 54897 + (-95156) = -40259", "Multiply: -4435 * (-9322) = 41343070", "Add: -40259 + 41343070 = 41302811"], "final_answer": "41302811", "answer_type": "integer", "kind": "expression", "math_text": "54897 + (-95156) + (-4435) * (-9322)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 54897, \"b\": -95156, \"c\": -4435, \"d\": -9322}", "seed": "8574281284645834190", "semantic_fingerprint": "sha256:d90353c65c9432d9ef40a39af58de7307f97a3cc6ed988e0c5c34991d1784247", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005007", "prompt": "Calculate: 2903 + (-3053) + (2740 - 90299)", "solution_steps": ["Add: 2903 + (-3053) = -150", "Subtract: 2740 - 90299 = -87559", "Add: -150 + (-87559) = -87709"], "final_answer": "-87709", "answer_type": "integer", "kind": "expression", "math_text": "2903 + (-3053) + (2740 - 90299)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2903, \"b\": -3053, \"c\": 2740, \"d\": 90299}", "seed": "12431084467120272343", "semantic_fingerprint": "sha256:c29d1c8470267d4ab99d18df9584c5d4b32a51fe3b73f1b65016c1150a12f754", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005008", "prompt": "Evaluate: -6189 * 8133 / (5152 / (-57556))", "solution_steps": ["Multiply: -6189 * 8133 = -50335137", "Divide: 5152 / (-57556) = -1288/14389", "Divide: -50335137 / (-1288/14389) = 724272286293/1288"], "final_answer": "724272286293/1288", "answer_type": "rational", "kind": "expression", "math_text": "-6189 * 8133 / (5152 / (-57556))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6189, \"b\": 8133, \"c\": 5152, \"d\": -57556}", "seed": "13539620363439892422", "semantic_fingerprint": "sha256:a20a6d826a16a021fd4297b2a489f4da46fc19f92874fb088d89170a05561241", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005009", "prompt": "Solve the equation x = 17(x + 14596) for x.", "solution_steps": ["Expand: x = 17x + 248132", "Subtract 17x from both sides: -16x = 248132", "Divide both sides by -16: x = -62033/4"], "final_answer": "-62033/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17(x + 14596)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 14596}", "seed": "9258333752894173045", "semantic_fingerprint": "sha256:3ce69f0f1979539552f93468d9b34963f00143b959a621813d50639333a1dfe5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005010", "prompt": "Calculate: 64142 / (74490 + (-67665))", "solution_steps": ["Add: 74490 + (-67665) = 6825", "Divide: 64142 / 6825 = 4934/525"], "final_answer": "4934/525", "answer_type": "rational", "kind": "expression", "math_text": "64142 / (74490 + (-67665))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64142, \"b\": 74490, \"c\": -67665}", "seed": "18151975308055442752", "semantic_fingerprint": "sha256:3b906ecf60fec123672a197c6b6c91c07ab1bfade6da7037e40b027275b05ac8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005011", "prompt": "What is 7528 * (-9605)?", "solution_steps": ["Multiply: 7528 * (-9605) = -72306440"], "final_answer": "-72306440", "answer_type": "integer", "kind": "expression", "math_text": "7528 * (-9605)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7528, \"b\": -9605}", "seed": "10350912040874400562", "semantic_fingerprint": "sha256:4dc13d16a352f917409469190b8d9c1a31af016f4ff3b0cd3a2421c91f010489", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005012", "prompt": "Compute: 9274 * (-4738 + (-9687 + (-9526)))", "solution_steps": ["Add: -9687 + (-9526) = -19213", "Add: -4738 + (-19213) = -23951", "Multiply: 9274 * (-23951) = -222121574"], "final_answer": "-222121574", "answer_type": "integer", "kind": "expression", "math_text": "9274 * (-4738 + (-9687 + (-9526)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9274, \"b\": -4738, \"c\": -9687, \"d\": -9526}", "seed": "729656706761906341", "semantic_fingerprint": "sha256:216b836e1db2b6ef95c6eb0c474c135f79cd24c343267affd9c3527fc66e6bb2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005013", "prompt": "What is 36633 / 3796?", "solution_steps": ["Divide: 36633 / 3796 = 36633/3796"], "final_answer": "36633/3796", "answer_type": "rational", "kind": "expression", "math_text": "36633 / 3796", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36633, \"b\": 3796}", "seed": "1809442090630941929", "semantic_fingerprint": "sha256:eb7d4a411bbf04124a6330093904e04db1c101d5a791ae4285616681f28a964a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005014", "prompt": "Calculate: 1894 * (-4256) / (5540 / (-7592))", "solution_steps": ["Multiply: 1894 * (-4256) = -8060864", "Divide: 5540 / (-7592) = -1385/1898", "Divide: -8060864 / (-1385/1898) = 15299519872/1385"], "final_answer": "15299519872/1385", "answer_type": "rational", "kind": "expression", "math_text": "1894 * (-4256) / (5540 / (-7592))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1894, \"b\": -4256, \"c\": 5540, \"d\": -7592}", "seed": "10592213728670489941", "semantic_fingerprint": "sha256:fd6de377b86f93818c7c6e962f9ac5d419cc4e827e4a6704761a47ec201f8802", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005015", "prompt": "Evaluate: 1279 * 1066 * (6337 + 1499)", "solution_steps": ["Multiply: 1279 * 1066 = 1363414", "Add: 6337 + 1499 = 7836", "Multiply: 1363414 * 7836 = 10683712104"], "final_answer": "10683712104", "answer_type": "integer", "kind": "expression", "math_text": "1279 * 1066 * (6337 + 1499)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1279, \"b\": 1066, \"c\": 6337, \"d\": 1499}", "seed": "13160656676298529666", "semantic_fingerprint": "sha256:c1e988c0fb22925473318b26c10d5ebc5afe0b1291ad37e94e3b1a22d363d934", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005016", "prompt": "What is -3938 - (7521 - (-6329))?", "solution_steps": ["Subtract: 7521 - (-6329) = 13850", "Subtract: -3938 - 13850 = -17788"], "final_answer": "-17788", "answer_type": "integer", "kind": "expression", "math_text": "-3938 - (7521 - (-6329))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3938, \"b\": 7521, \"c\": -6329}", "seed": "5516723551620163006", "semantic_fingerprint": "sha256:29f93ed1ecc5761a772e540b0c44a36eac258e5fc5ac5864b6b11974544e612e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005017", "prompt": "Calculate: -1143 - (-9268) - (-5499 - (-75691) / 7294)", "solution_steps": ["Subtract: -1143 - (-9268) = 8125", "Divide: -75691 / 7294 = -10813/1042", "Subtract: -5499 - (-10813/1042) = -5719145/1042", "Subtract: 8125 - (-5719145/1042) = 14185395/1042"], "final_answer": "14185395/1042", "answer_type": "rational", "kind": "expression", "math_text": "-1143 - (-9268) - (-5499 - (-75691) / 7294)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1143, \"b\": -9268, \"c\": -5499, \"d\": -75691, \"e\": 7294}", "seed": "3530238904596963727", "semantic_fingerprint": "sha256:062a97087af2c9247b79a40c90a42e0527ef471a81f15a6d1ec99a0a464df4a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005018", "prompt": "Evaluate: 6212 * (2594 * (-6057 + (-6592)))", "solution_steps": ["Add: -6057 + (-6592) = -12649", "Multiply: 2594 * (-12649) = -32811506", "Multiply: 6212 * (-32811506) = -203825075272"], "final_answer": "-203825075272", "answer_type": "integer", "kind": "expression", "math_text": "6212 * (2594 * (-6057 + (-6592)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6212, \"b\": 2594, \"c\": -6057, \"d\": -6592}", "seed": "8383826766652799287", "semantic_fingerprint": "sha256:fa06df4f4288c7f9fe344263f08f03cf8c33204ad4d691f0c25c53f6c49c562d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005019", "prompt": "Compute: -9885 * 64502 / (-8196)", "solution_steps": ["Multiply: -9885 * 64502 = -637602270", "Divide: -637602270 / (-8196) = 106267045/1366"], "final_answer": "106267045/1366", "answer_type": "rational", "kind": "expression", "math_text": "-9885 * 64502 / (-8196)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9885, \"b\": 64502, \"c\": -8196}", "seed": "6851766304000893664", "semantic_fingerprint": "sha256:194e615fcd9fb58583fe70518dd4af6060a4346292e8c2318542e77fc2c6c715", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005020", "prompt": "Find x: -40(x - 4337) + 49064 = -81714", "solution_steps": ["Expand: -40x + 173480 + 49064 = -81714", "Combine constants: -40x + 222544 = -81714", "Subtract 222544 from both sides: -40x = -304258", "Divide both sides by -40: x = 152129/20"], "final_answer": "152129/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 4337) + 49064 = -81714", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 4337, \"c\": 49064, \"d\": -81714}", "seed": "17276677397479500326", "semantic_fingerprint": "sha256:0399e75ee506a7e80ee4440c9bb45ef86c173dad6037ba98a340754b8c6f2212", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005021", "prompt": "What is -11252 - (47021 / (-16154) - (74261 - 7390 * 8135))?", "solution_steps": ["Divide: 47021 / (-16154) = -47021/16154", "Multiply: 7390 * 8135 = 60117650", "Subtract: 74261 - 60117650 = -60043389", "Subtract: -47021/16154 - (-60043389) = 969940858885/16154", "Subtract: -11252 - 969940858885/16154 = -970122623693/16154"], "final_answer": "-970122623693/16154", "answer_type": "rational", "kind": "expression", "math_text": "-11252 - (47021 / (-16154) - (74261 - 7390 * 8135))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n n) (- n (* n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -11252, \"b\": 47021, \"c\": -16154, \"d\": 74261, \"e\": 7390, \"f\": 8135}", "seed": "2619853707802369497", "semantic_fingerprint": "sha256:44727095b9dc7c81cddb6cb8fd4128f51fa48b5849222fa6842f4938656a5e88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005022", "prompt": "Find x: x - 9643 = -15(x + 2944) - 8066", "solution_steps": ["Expand: x - 9643 = -15x - 44160 - 8066", "Combine constants: x - 9643 = -15x - 52226", "Add 15x to both sides: 16x - 9643 = -52226", "Add 9643 to both sides: 16x = -42583", "Divide both sides by 16: x = -42583/16"], "final_answer": "-42583/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9643 = -15(x + 2944) - 8066", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9643, \"b\": -15, \"c\": 2944, \"d\": 8066}", "seed": "5001118149352844053", "semantic_fingerprint": "sha256:0b5206925b731a0c345aea6d3424e1eae62e77bd5cc4e8133f962662668017c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005023", "prompt": "Evaluate: (-5668 - 9411) * 2675", "solution_steps": ["Subtract: -5668 - 9411 = -15079", "Multiply: -15079 * 2675 = -40336325"], "final_answer": "-40336325", "answer_type": "integer", "kind": "expression", "math_text": "(-5668 - 9411) * 2675", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5668, \"b\": 9411, \"c\": 2675}", "seed": "18042972007328551641", "semantic_fingerprint": "sha256:96868b17d2c6d57ca71f22149f1ff420f7e77f01357bced2ffbcede5cce8aa95", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005024", "prompt": "What is (-74894 - (-8588) + (-7339)) / (-3602 + 68712)?", "solution_steps": ["Subtract: -74894 - (-8588) = -66306", "Add: -66306 + (-7339) = -73645", "Add: -3602 + 68712 = 65110", "Divide: -73645 / 65110 = -14729/13022"], "final_answer": "-14729/13022", "answer_type": "rational", "kind": "expression", "math_text": "(-74894 - (-8588) + (-7339)) / (-3602 + 68712)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -74894, \"b\": -8588, \"c\": -7339, \"d\": -3602, \"e\": 68712}", "seed": "9545392735841667884", "semantic_fingerprint": "sha256:427dbfa9acf709b866fd4b4d7b7fe638c1056bde1d8b4d1a835c9845ec1bf47c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005025", "prompt": "Solve for x: x - 7035 = -7190", "solution_steps": ["Add 7035 to both sides: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7035 = -7190", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7035, \"c\": -7190, \"x\": -155}", "seed": "8208697917679416445", "semantic_fingerprint": "sha256:f007cfe37b2d652e7599892e1c8826bdd6608c2af196ffdb98abb06f7407adb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005026", "prompt": "What is 5946 * (-5446)?", "solution_steps": ["Multiply: 5946 * (-5446) = -32381916"], "final_answer": "-32381916", "answer_type": "integer", "kind": "expression", "math_text": "5946 * (-5446)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5946, \"b\": -5446}", "seed": "15222295672341788013", "semantic_fingerprint": "sha256:1d20afbf58165245ab9882bcd85043e2982a2c55ba6a77702ad704924cb93fcc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005027", "prompt": "Evaluate: 2685 - 54438 * (-82782)", "solution_steps": ["Multiply: 54438 * (-82782) = -4506486516", "Subtract: 2685 - (-4506486516) = 4506489201"], "final_answer": "4506489201", "answer_type": "integer", "kind": "expression", "math_text": "2685 - 54438 * (-82782)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2685, \"b\": 54438, \"c\": -82782}", "seed": "12193120462561572243", "semantic_fingerprint": "sha256:16aea33dd93a9dd519cb356f25974a847593150ace53b47c328b19bbf5d7d006", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005028", "prompt": "Compute: -1613 * (-7670 - 60917) + 37731", "solution_steps": ["Subtract: -7670 - 60917 = -68587", "Multiply: -1613 * (-68587) = 110630831", "Add: 110630831 + 37731 = 110668562"], "final_answer": "110668562", "answer_type": "integer", "kind": "expression", "math_text": "-1613 * (-7670 - 60917) + 37731", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1613, \"b\": -7670, \"c\": 60917, \"d\": 37731}", "seed": "1680909930012738171", "semantic_fingerprint": "sha256:ffb5bf40df5fcbab16092c3f4cf4a0ca28a9466ff0bf3b93df179a34c18323ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005029", "prompt": "Compute: 5987 * (-92315)", "solution_steps": ["Multiply: 5987 * (-92315) = -552689905"], "final_answer": "-552689905", "answer_type": "integer", "kind": "expression", "math_text": "5987 * (-92315)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5987, \"b\": -92315}", "seed": "15448134318109529210", "semantic_fingerprint": "sha256:742806f1261594b09a1edad0e0a81c8e5d2a9473715dd0aeda3bdbcf58d1cf94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005030", "prompt": "Calculate: 2524 / (-1059)", "solution_steps": ["Divide: 2524 / (-1059) = -2524/1059"], "final_answer": "-2524/1059", "answer_type": "rational", "kind": "expression", "math_text": "2524 / (-1059)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2524, \"b\": -1059}", "seed": "13951319102146424105", "semantic_fingerprint": "sha256:36a7473323234b059a81c168b4d582ad22c9692a845dbe1fa636022caa333631", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005031", "prompt": "Solve the equation 30x = -5550 for x.", "solution_steps": ["Divide both sides by 30: x = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = -5550", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": -5550, \"x\": -185}", "seed": "8254380980519021346", "semantic_fingerprint": "sha256:469e2ceb3d0cad27c9b93e7a9968adc293695205cb08ac228d8738126f2e8482", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005032", "prompt": "Compute: -5638 - 7707 - 6380 - 8503", "solution_steps": ["Subtract: -5638 - 7707 = -13345", "Subtract: -13345 - 6380 = -19725", "Subtract: -19725 - 8503 = -28228"], "final_answer": "-28228", "answer_type": "integer", "kind": "expression", "math_text": "-5638 - 7707 - 6380 - 8503", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5638, \"b\": 7707, \"c\": 6380, \"d\": 8503}", "seed": "9882178848071509694", "semantic_fingerprint": "sha256:1360569a2c8e02aea0d398e923269f3ad167cebe2d4d08bec2395e99a25ac405", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005033", "prompt": "What is -8918 * 74829?", "solution_steps": ["Multiply: -8918 * 74829 = -667325022"], "final_answer": "-667325022", "answer_type": "integer", "kind": "expression", "math_text": "-8918 * 74829", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8918, \"b\": 74829}", "seed": "7481463513581099024", "semantic_fingerprint": "sha256:2d785211a7a3c79b5dbcc58e0999110edb1df66edc1ba0d86cc266fda9c4a343", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005034", "prompt": "Compute: 5347 + (-1560)", "solution_steps": ["Add: 5347 + (-1560) = 3787"], "final_answer": "3787", "answer_type": "integer", "kind": "expression", "math_text": "5347 + (-1560)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5347, \"b\": -1560}", "seed": "2484325618215792705", "semantic_fingerprint": "sha256:54f737217ad070a3aea3080ca6fd7514abdf3c1c507d5b95c7f984a2501cc82f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005035", "prompt": "Compute: 1676 + 7164 * 19454 + (-20310 + 45484) * (-3775)", "solution_steps": ["Multiply: 7164 * 19454 = 139368456", "Add: 1676 + 139368456 = 139370132", "Add: -20310 + 45484 = 25174", "Multiply: 25174 * (-3775) = -95031850", "Add: 139370132 + (-95031850) = 44338282"], "final_answer": "44338282", "answer_type": "integer", "kind": "expression", "math_text": "1676 + 7164 * 19454 + (-20310 + 45484) * (-3775)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1676, \"b\": 7164, \"c\": 19454, \"d\": -20310, \"e\": 45484, \"f\": -3775}", "seed": "7294690731890256651", "semantic_fingerprint": "sha256:fd468eb9dfcacd428f1b57b27959c2ad4d8c2bffb63489875195152732974225", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005036", "prompt": "Calculate: -3110 + (-5973)", "solution_steps": ["Add: -3110 + (-5973) = -9083"], "final_answer": "-9083", "answer_type": "integer", "kind": "expression", "math_text": "-3110 + (-5973)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3110, \"b\": -5973}", "seed": "3097165828038056617", "semantic_fingerprint": "sha256:0de79e79d2f30a22245d88a4a9ef2807a050bf90411ffb68f16904da0ca91450", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005037", "prompt": "Solve for x: x = 31x - 2850", "solution_steps": ["Subtract 31x from both sides: -30x = -2850", "Divide both sides by -30: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 31x - 2850", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -2850, \"x\": 95}", "seed": "2995495798409711954", "semantic_fingerprint": "sha256:6805c5176fe7935721ca026db92449f7388dd81f475546815fe10c5bbb6ff42d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005038", "prompt": "Compute: 60317 / (-31995 + 5802)", "solution_steps": ["Add: -31995 + 5802 = -26193", "Divide: 60317 / (-26193) = -60317/26193"], "final_answer": "-60317/26193", "answer_type": "rational", "kind": "expression", "math_text": "60317 / (-31995 + 5802)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60317, \"b\": -31995, \"c\": 5802}", "seed": "9386114255748830581", "semantic_fingerprint": "sha256:c255e1864e718a933ebe7162fee307822e2aaf9a6ffe3d150a780212ac0cf181", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005039", "prompt": "Calculate: 1809 + (16634 - 83965) * 1029", "solution_steps": ["Subtract: 16634 - 83965 = -67331", "Multiply: -67331 * 1029 = -69283599", "Add: 1809 + (-69283599) = -69281790"], "final_answer": "-69281790", "answer_type": "integer", "kind": "expression", "math_text": "1809 + (16634 - 83965) * 1029", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1809, \"b\": 16634, \"c\": 83965, \"d\": 1029}", "seed": "18313516991910989214", "semantic_fingerprint": "sha256:2c067b32103413fe12f213f13a52a995d7b50b7edf5ccbf2c4affa787a9ac4d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005040", "prompt": "What is (2319 + (-8861)) * (-29349 + 11544)?", "solution_steps": ["Add: 2319 + (-8861) = -6542", "Add: -29349 + 11544 = -17805", "Multiply: -6542 * (-17805) = 116480310"], "final_answer": "116480310", "answer_type": "integer", "kind": "expression", "math_text": "(2319 + (-8861)) * (-29349 + 11544)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2319, \"b\": -8861, \"c\": -29349, \"d\": 11544}", "seed": "7311080713097509348", "semantic_fingerprint": "sha256:1e02cef969a8e119a863aab1cf62672b44a1b5ce074a9128f5ba077b2e22aa1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005041", "prompt": "What value of x satisfies x - 9344 = 22x - 8651?", "solution_steps": ["Subtract 22x from both sides: -21x - 9344 = -8651", "Add 9344 to both sides: -21x = 693", "Divide both sides by -21: x = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9344 = 22x - 8651", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9344, \"b\": 22, \"d\": -8651, \"x\": -33}", "seed": "16201460073162420517", "semantic_fingerprint": "sha256:d6f8b8d69f5852546f44aa8fd9f3946940ccdde0a9920c2320133af70be6554d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005042", "prompt": "What is 48392 - (-58970 / 4727 - (-95875) - (-9217))?", "solution_steps": ["Divide: -58970 / 4727 = -58970/4727", "Subtract: -58970/4727 - (-95875) = 453142155/4727", "Subtract: 453142155/4727 - (-9217) = 496710914/4727", "Subtract: 48392 - 496710914/4727 = -267961930/4727"], "final_answer": "-267961930/4727", "answer_type": "rational", "kind": "expression", "math_text": "48392 - (-58970 / 4727 - (-95875) - (-9217))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 48392, \"b\": -58970, \"c\": 4727, \"d\": -95875, \"e\": -9217}", "seed": "7724008546267297035", "semantic_fingerprint": "sha256:262d5e864fc56371d2f8c0f6e413e7e20b44b041fe179df359bb8f7a14ff1a55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005043", "prompt": "Compute: 72346 - (-58254 - 12292 / 7707)", "solution_steps": ["Divide: 12292 / 7707 = 1756/1101", "Subtract: -58254 - 1756/1101 = -64139410/1101", "Subtract: 72346 - (-64139410/1101) = 143792356/1101"], "final_answer": "143792356/1101", "answer_type": "rational", "kind": "expression", "math_text": "72346 - (-58254 - 12292 / 7707)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72346, \"b\": -58254, \"c\": 12292, \"d\": 7707}", "seed": "15594261604138803661", "semantic_fingerprint": "sha256:bba98b5c39105995a50b61135d7e3d7a9a0584268e4060af503edacf327a6920", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005044", "prompt": "Compute: -6484 - (-5850)", "solution_steps": ["Subtract: -6484 - (-5850) = -634"], "final_answer": "-634", "answer_type": "integer", "kind": "expression", "math_text": "-6484 - (-5850)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6484, \"b\": -5850}", "seed": "3415724665810547039", "semantic_fingerprint": "sha256:8fb042beb8efb4dac5a51a77f2a43b895afe440b7fd20fd0b542edff70667e86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005045", "prompt": "What is 6490 / (-4000) - 27845?", "solution_steps": ["Divide: 6490 / (-4000) = -649/400", "Subtract: -649/400 - 27845 = -11138649/400"], "final_answer": "-11138649/400", "answer_type": "rational", "kind": "expression", "math_text": "6490 / (-4000) - 27845", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6490, \"b\": -4000, \"c\": 27845}", "seed": "1951527439255529492", "semantic_fingerprint": "sha256:4b618822cec0b43305c471299d62b339df77401f18c8b96f9c5ea07c17045039", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005046", "prompt": "Evaluate: (87229 + 3896) / (-86570)", "solution_steps": ["Add: 87229 + 3896 = 91125", "Divide: 91125 / (-86570) = -18225/17314"], "final_answer": "-18225/17314", "answer_type": "rational", "kind": "expression", "math_text": "(87229 + 3896) / (-86570)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87229, \"b\": 3896, \"c\": -86570}", "seed": "14825124644730711473", "semantic_fingerprint": "sha256:b6ebe4a4d7eeaffbe5b4a4b61f34b922b65978651f6e3abfd1632326dd0127bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005047", "prompt": "Solve the equation 33x - 96878 = 18(x + 6775) - 1622 for x.", "solution_steps": ["Expand: 33x - 96878 = 18x + 121950 - 1622", "Combine constants: 33x - 96878 = 18x + 120328", "Subtract 18x from both sides: 15x - 96878 = 120328", "Add 96878 to both sides: 15x = 217206", "Divide both sides by 15: x = 72402/5"], "final_answer": "72402/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x - 96878 = 18(x + 6775) - 1622", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 96878, \"c\": 18, \"d\": 6775, \"e\": 1622}", "seed": "856566096207549777", "semantic_fingerprint": "sha256:d8f8907a297b4b3ac0ce67c48caddc11adb60d688176128f729724b8925e4c79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005048", "prompt": "Compute: 5492 / 7599 + (4333 - 2395 / (1410 / 5249))", "solution_steps": ["Divide: 5492 / 7599 = 5492/7599", "Divide: 1410 / 5249 = 1410/5249", "Divide: 2395 / (1410/5249) = 2514271/282", "Subtract: 4333 - 2514271/282 = -1292365/282", "Add: 5492/7599 + (-1292365/282) = -3273044297/714306"], "final_answer": "-3273044297/714306", "answer_type": "rational", "kind": "expression", "math_text": "5492 / 7599 + (4333 - 2395 / (1410 / 5249))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- n (/ n (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5492, \"b\": 7599, \"c\": 4333, \"d\": 2395, \"e\": 1410, \"f\": 5249}", "seed": "16855763233379919280", "semantic_fingerprint": "sha256:042ee312f1922fb9215122541d8298d20c849bf84f746dfb2ba5be7e5b7b4ac4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005049", "prompt": "Solve for x: -18x = -19(x - 4277) + 54914", "solution_steps": ["Expand: -18x = -19x + 81263 + 54914", "Combine constants: -18x = -19x + 136177", "Add 19x to both sides: x = 136177"], "final_answer": "136177", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18x = -19(x - 4277) + 54914", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": -19, \"c\": 4277, \"d\": 54914}", "seed": "4016334060809915466", "semantic_fingerprint": "sha256:923315c56da32d2fc4b59dc2287592e00cca5d8667d7dc62749e8dc3a0de539e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005050", "prompt": "Compute: -43675 - 17145 * (-6635) - (67839 - 20451)", "solution_steps": ["Multiply: 17145 * (-6635) = -113757075", "Subtract: -43675 - (-113757075) = 113713400", "Subtract: 67839 - 20451 = 47388", "Subtract: 113713400 - 47388 = 113666012"], "final_answer": "113666012", "answer_type": "integer", "kind": "expression", "math_text": "-43675 - 17145 * (-6635) - (67839 - 20451)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -43675, \"b\": 17145, \"c\": -6635, \"d\": 67839, \"e\": 20451}", "seed": "9919197121335922140", "semantic_fingerprint": "sha256:91e31df6ca9827a86eb5b4dc050f887fe4ecf1545cc9b712fab9d55306be33f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005051", "prompt": "Compute: 5266 + 2935 / (-4079)", "solution_steps": ["Divide: 2935 / (-4079) = -2935/4079", "Add: 5266 + (-2935/4079) = 21477079/4079"], "final_answer": "21477079/4079", "answer_type": "rational", "kind": "expression", "math_text": "5266 + 2935 / (-4079)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5266, \"b\": 2935, \"c\": -4079}", "seed": "10873798285104695400", "semantic_fingerprint": "sha256:ace987040899f065178a65a0c1ee65bcefab20ef5d49b1a904dd628ffd3a30ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005052", "prompt": "Evaluate: -7434 + (-24041 - 8563) - (-86276)", "solution_steps": ["Subtract: -24041 - 8563 = -32604", "Add: -7434 + (-32604) = -40038", "Subtract: -40038 - (-86276) = 46238"], "final_answer": "46238", "answer_type": "integer", "kind": "expression", "math_text": "-7434 + (-24041 - 8563) - (-86276)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7434, \"b\": -24041, \"c\": 8563, \"d\": -86276}", "seed": "2095982196689099725", "semantic_fingerprint": "sha256:ebac65d15ab45c48adf31cb4a37829a3b21e474a4d506aaea85ab7e29c0b1a2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005053", "prompt": "Calculate: (1154 - (-59964)) / 9535", "solution_steps": ["Subtract: 1154 - (-59964) = 61118", "Divide: 61118 / 9535 = 61118/9535"], "final_answer": "61118/9535", "answer_type": "rational", "kind": "expression", "math_text": "(1154 - (-59964)) / 9535", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1154, \"b\": -59964, \"c\": 9535}", "seed": "12385344587087762483", "semantic_fingerprint": "sha256:bf4469aa2d4e0d522d3f5d61b0682c8f99b122c2f672448f2cc6d2fc071eb5a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005054", "prompt": "Find x: -40(x - 78978) + 5970 = -26(x + 1970) + 23873", "solution_steps": ["Expand: -40x + 3159120 + 5970 = -26(x + 1970) + 23873", "Expand: -40x + 3159120 + 5970 = -26x - 51220 + 23873", "Combine constants: -40x + 3165090 = -26x - 51220 + 23873", "Combine constants: -40x + 3165090 = -26x - 27347", "Add 26x to both sides: -14x + 3165090 = -27347", "Subtract 3165090 from both sides: -14x = -3192437", "Divide both sides by -14: x = 3192437/14"], "final_answer": "3192437/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 78978) + 5970 = -26(x + 1970) + 23873", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 78978, \"c\": 5970, \"d\": -26, \"e\": 1970, \"f\": 23873}", "seed": "3693559202440606012", "semantic_fingerprint": "sha256:6e3a2439276ebd48aebf953e89648a44109bcdf071cb6da92f9cd3750e8ee8eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005055", "prompt": "Compute: 28014 + 53616 - 3328", "solution_steps": ["Add: 28014 + 53616 = 81630", "Subtract: 81630 - 3328 = 78302"], "final_answer": "78302", "answer_type": "integer", "kind": "expression", "math_text": "28014 + 53616 - 3328", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28014, \"b\": 53616, \"c\": 3328}", "seed": "2675678719504751733", "semantic_fingerprint": "sha256:f30bcf5c7ad6b88bd36cdd16428e5b7d93d50ec2ebe82fac8cf96874a709288d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005056", "prompt": "Evaluate: 11579 * (-8435 / 21288)", "solution_steps": ["Divide: -8435 / 21288 = -8435/21288", "Multiply: 11579 * (-8435/21288) = -97668865/21288"], "final_answer": "-97668865/21288", "answer_type": "rational", "kind": "expression", "math_text": "11579 * (-8435 / 21288)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 11579, \"b\": -8435, \"c\": 21288}", "seed": "6606727791242610800", "semantic_fingerprint": "sha256:7ba444b3239be7993437a2e3192fee5dee536de3c913e0a4129635e667bd89ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005057", "prompt": "What is -48362 / (15342 + 1877)?", "solution_steps": ["Add: 15342 + 1877 = 17219", "Divide: -48362 / 17219 = -48362/17219"], "final_answer": "-48362/17219", "answer_type": "rational", "kind": "expression", "math_text": "-48362 / (15342 + 1877)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48362, \"b\": 15342, \"c\": 1877}", "seed": "8628347592449282520", "semantic_fingerprint": "sha256:9b7c958f596c9db9cdfa4d7b89d426937dcdf735838c6872d84cc5ad29cde981", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005058", "prompt": "Calculate: -5313 / (-84340)", "solution_steps": ["Divide: -5313 / (-84340) = 5313/84340"], "final_answer": "5313/84340", "answer_type": "rational", "kind": "expression", "math_text": "-5313 / (-84340)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5313, \"b\": -84340}", "seed": "10273701600804232394", "semantic_fingerprint": "sha256:9228bc6532dbc6f9ea8238b0577af5c8a78ee88f7df155cabfc86c9766af3ebf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005059", "prompt": "What is 10600 * (-28351 * (-5357 / (-1292)))?", "solution_steps": ["Divide: -5357 / (-1292) = 5357/1292", "Multiply: -28351 * (5357/1292) = -151876307/1292", "Multiply: 10600 * (-151876307/1292) = -402472213550/323"], "final_answer": "-402472213550/323", "answer_type": "rational", "kind": "expression", "math_text": "10600 * (-28351 * (-5357 / (-1292)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10600, \"b\": -28351, \"c\": -5357, \"d\": -1292}", "seed": "10955162079135447133", "semantic_fingerprint": "sha256:682c7166f1b03c2ec00bd06e473910175fed56b9e41472c68fdd7e6bf8a7adef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005060", "prompt": "Solve for x: x + 96513 = 26(x - 42334) + 69433", "solution_steps": ["Expand: x + 96513 = 26x - 1100684 + 69433", "Combine constants: x + 96513 = 26x - 1031251", "Subtract 26x from both sides: -25x + 96513 = -1031251", "Subtract 96513 from both sides: -25x = -1127764", "Divide both sides by -25: x = 1127764/25"], "final_answer": "1127764/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 96513 = 26(x - 42334) + 69433", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 96513, \"b\": 26, \"c\": 42334, \"d\": 69433}", "seed": "2758697270977307213", "semantic_fingerprint": "sha256:825b6e256699c06e21d8fcce1ee623fce4681ee56bc0f9e8ef6673f70b295f2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005061", "prompt": "Find x: -40x - 2901 = x - 9297", "solution_steps": ["Subtract x from both sides: -41x - 2901 = -9297", "Add 2901 to both sides: -41x = -6396", "Divide both sides by -41: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x - 2901 = x - 9297", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 2901, \"d\": -9297, \"x\": 156}", "seed": "9273199068923142555", "semantic_fingerprint": "sha256:fd18a950d7172c172fc2406d82347b2ea4e8e2ea9b57e2f29bb236d9494d1858", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005062", "prompt": "What value of x satisfies 13x + 2400 = x?", "solution_steps": ["Subtract x from both sides: 12x + 2400 = 0", "Subtract 2400 from both sides: 12x = -2400", "Divide both sides by 12: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 2400 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": 2400, \"x\": -200}", "seed": "15695686239820224930", "semantic_fingerprint": "sha256:ff5731db8085550639a56e7fb1a30b361e3df0cb2e387f20b5a7a86a97a0cb7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005063", "prompt": "Compute: -1456 * (-75480 + (-8816) / 4924 + (-3081))", "solution_steps": ["Divide: -8816 / 4924 = -2204/1231", "Add: -75480 + (-2204/1231) = -92918084/1231", "Add: -92918084/1231 + (-3081) = -96710795/1231", "Multiply: -1456 * (-96710795/1231) = 140810917520/1231"], "final_answer": "140810917520/1231", "answer_type": "rational", "kind": "expression", "math_text": "-1456 * (-75480 + (-8816) / 4924 + (-3081))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1456, \"b\": -75480, \"c\": -8816, \"d\": 4924, \"e\": -3081}", "seed": "8432240516176249849", "semantic_fingerprint": "sha256:67b595d01c33d6fe55134aaf8490c2064e7e32fb05645e68af15ca90e52aca9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005064", "prompt": "Solve for x: 34x + 29043 = x", "solution_steps": ["Subtract x from both sides: 33x + 29043 = 0", "Subtract 29043 from both sides: 33x = -29043", "Divide both sides by 33: x = -9681/11"], "final_answer": "-9681/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 29043 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 29043}", "seed": "6896543537285757454", "semantic_fingerprint": "sha256:ec583af6f967cb796e642ff958bdf33b17ff210d55d9a1157fde17b6dceb301a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005065", "prompt": "Evaluate: -4261 / (-35608) - (-9126 - 9412)", "solution_steps": ["Divide: -4261 / (-35608) = 4261/35608", "Subtract: -9126 - 9412 = -18538", "Subtract: 4261/35608 - (-18538) = 660105365/35608"], "final_answer": "660105365/35608", "answer_type": "rational", "kind": "expression", "math_text": "-4261 / (-35608) - (-9126 - 9412)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4261, \"b\": -35608, \"c\": -9126, \"d\": 9412}", "seed": "5933815696932499759", "semantic_fingerprint": "sha256:0aaf5a37e7937cc1d382a929696214442a1b10a87c2b6719ccfcde2719e84fe9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005066", "prompt": "What is 1299 / (-7314 / 4124)?", "solution_steps": ["Divide: -7314 / 4124 = -3657/2062", "Divide: 1299 / (-3657/2062) = -892846/1219"], "final_answer": "-892846/1219", "answer_type": "rational", "kind": "expression", "math_text": "1299 / (-7314 / 4124)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1299, \"b\": -7314, \"c\": 4124}", "seed": "14495414868036767964", "semantic_fingerprint": "sha256:268be8cb266401d7a16ddd8dffb31d3cd5bd3995a1cabd8cf661edb3adc84438", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005067", "prompt": "Find x: 30x = -26x", "solution_steps": ["Add 26x to both sides: 56x = 0", "Divide both sides by 56: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = -26x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -26}", "seed": "6460484314276954670", "semantic_fingerprint": "sha256:2209caa6e18d5478126cf76f7426ce8e5897041ed4aa137337a1797f2b7ac8e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005068", "prompt": "Evaluate: -85205 / 7268", "solution_steps": ["Divide: -85205 / 7268 = -85205/7268"], "final_answer": "-85205/7268", "answer_type": "rational", "kind": "expression", "math_text": "-85205 / 7268", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -85205, \"b\": 7268}", "seed": "16468840036695939475", "semantic_fingerprint": "sha256:312bcd844de8e7ed88c88b46ce8d467128348a861fd18ac11c1097e2da292c62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005069", "prompt": "Calculate: 6338 + 6948", "solution_steps": ["Add: 6338 + 6948 = 13286"], "final_answer": "13286", "answer_type": "integer", "kind": "expression", "math_text": "6338 + 6948", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6338, \"b\": 6948}", "seed": "982528268750385369", "semantic_fingerprint": "sha256:81f201b668575e23c68d9e60e1d08af052a6ae53503e6974bee0eb34254d6d46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005070", "prompt": "Calculate: -3676 / (2440 - (-2157)) + (-23158)", "solution_steps": ["Subtract: 2440 - (-2157) = 4597", "Divide: -3676 / 4597 = -3676/4597", "Add: -3676/4597 + (-23158) = -106461002/4597"], "final_answer": "-106461002/4597", "answer_type": "rational", "kind": "expression", "math_text": "-3676 / (2440 - (-2157)) + (-23158)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3676, \"b\": 2440, \"c\": -2157, \"d\": -23158}", "seed": "13954142993442190766", "semantic_fingerprint": "sha256:1c3ea32bf9ab0c411d55bdfdda12333ed45279abfe88c8d15483b1bf8d935f13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005071", "prompt": "Evaluate: -13517 * (-99893 - 7620)", "solution_steps": ["Subtract: -99893 - 7620 = -107513", "Multiply: -13517 * (-107513) = 1453253221"], "final_answer": "1453253221", "answer_type": "integer", "kind": "expression", "math_text": "-13517 * (-99893 - 7620)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13517, \"b\": -99893, \"c\": 7620}", "seed": "969057577497249682", "semantic_fingerprint": "sha256:5f7804f25c622653c8da6e1c15c33b84c885c2a526c342f2e6816c07d1b068a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005072", "prompt": "What is 1092 - 40765?", "solution_steps": ["Subtract: 1092 - 40765 = -39673"], "final_answer": "-39673", "answer_type": "integer", "kind": "expression", "math_text": "1092 - 40765", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1092, \"b\": 40765}", "seed": "2423059970459333534", "semantic_fingerprint": "sha256:ee6e7d540b3ac33c523f4262d5a38d4cf606d6229472773d1f5cf04c0f69700d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005073", "prompt": "What value of x satisfies x + 38943 = -21(x + 5675)?", "solution_steps": ["Expand: x + 38943 = -21x - 119175", "Add 21x to both sides: 22x + 38943 = -119175", "Subtract 38943 from both sides: 22x = -158118", "Divide both sides by 22: x = -79059/11"], "final_answer": "-79059/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 38943 = -21(x + 5675)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38943, \"b\": -21, \"c\": 5675}", "seed": "8566783582004348823", "semantic_fingerprint": "sha256:33421bfddeb91ab075ffef2ed09b855915543f2a1892bb5c8e8996e6db14c9af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005074", "prompt": "Solve the equation -20x - 9362 = x + 1980 for x.", "solution_steps": ["Subtract x from both sides: -21x - 9362 = 1980", "Add 9362 to both sides: -21x = 11342", "Divide both sides by -21: x = -11342/21"], "final_answer": "-11342/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x - 9362 = x + 1980", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 9362, \"c\": 1980}", "seed": "7617303385254255870", "semantic_fingerprint": "sha256:1ac67c36a89b0d1a19636ee69c28ff1f1fa49d0798cc71e2977ac4e9b006359d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005075", "prompt": "What is -9285 / (8327 + 9444)?", "solution_steps": ["Add: 8327 + 9444 = 17771", "Divide: -9285 / 17771 = -9285/17771"], "final_answer": "-9285/17771", "answer_type": "rational", "kind": "expression", "math_text": "-9285 / (8327 + 9444)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9285, \"b\": 8327, \"c\": 9444}", "seed": "17495111716521704079", "semantic_fingerprint": "sha256:fb23c697a83cfd6be8d49eeadd17530c323c13b3f3a86aa28fba41a6ba44c182", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005076", "prompt": "Compute: -3236 / 64867 + (-3012)", "solution_steps": ["Divide: -3236 / 64867 = -3236/64867", "Add: -3236/64867 + (-3012) = -195382640/64867"], "final_answer": "-195382640/64867", "answer_type": "rational", "kind": "expression", "math_text": "-3236 / 64867 + (-3012)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3236, \"b\": 64867, \"c\": -3012}", "seed": "125095109504485743", "semantic_fingerprint": "sha256:7964327377ba4b716e0dc344b2fdc694dc553cbe0217e1e92f1b6c8465f0b21c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005077", "prompt": "Evaluate: 2104 - 41139 / (-7292 + 1345)", "solution_steps": ["Add: -7292 + 1345 = -5947", "Divide: 41139 / (-5947) = -41139/5947", "Subtract: 2104 - (-41139/5947) = 12553627/5947"], "final_answer": "12553627/5947", "answer_type": "rational", "kind": "expression", "math_text": "2104 - 41139 / (-7292 + 1345)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2104, \"b\": 41139, \"c\": -7292, \"d\": 1345}", "seed": "8966412561435121420", "semantic_fingerprint": "sha256:f8bad0ad583b5bbd1375d12cf3d6b2e1760f5300e22423d5f82f455f825da5dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005078", "prompt": "Calculate: -39760 + 4327 * (-6074) + (83092 - 42457 + 4007)", "solution_steps": ["Multiply: 4327 * (-6074) = -26282198", "Add: -39760 + (-26282198) = -26321958", "Subtract: 83092 - 42457 = 40635", "Add: 40635 + 4007 = 44642", "Add: -26321958 + 44642 = -26277316"], "final_answer": "-26277316", "answer_type": "integer", "kind": "expression", "math_text": "-39760 + 4327 * (-6074) + (83092 - 42457 + 4007)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39760, \"b\": 4327, \"c\": -6074, \"d\": 83092, \"e\": 42457, \"f\": 4007}", "seed": "18086182806149233582", "semantic_fingerprint": "sha256:50573f9b55be899dc2c1a5f6f08a62e049fe1f6655e10fbcbe3a4ee0c812d5dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005079", "prompt": "Evaluate: 6428 - (-5555) - 7809", "solution_steps": ["Subtract: 6428 - (-5555) = 11983", "Subtract: 11983 - 7809 = 4174"], "final_answer": "4174", "answer_type": "integer", "kind": "expression", "math_text": "6428 - (-5555) - 7809", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6428, \"b\": -5555, \"c\": 7809}", "seed": "11766060023720305968", "semantic_fingerprint": "sha256:d5edc9b0c1ce7c4a50ddbb5120df864e5f34b09152f7ca6137140de40d849e68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005080", "prompt": "Compute: 1672 * (-59625 + (-6884))", "solution_steps": ["Add: -59625 + (-6884) = -66509", "Multiply: 1672 * (-66509) = -111203048"], "final_answer": "-111203048", "answer_type": "integer", "kind": "expression", "math_text": "1672 * (-59625 + (-6884))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1672, \"b\": -59625, \"c\": -6884}", "seed": "7367337347222563494", "semantic_fingerprint": "sha256:696fa2911eca252dd4d63cef05b401033ce285071c625c9f72c09e7b41fafd78", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005081", "prompt": "Solve for x: -19x + 50948 = x + 53888", "solution_steps": ["Subtract x from both sides: -20x + 50948 = 53888", "Subtract 50948 from both sides: -20x = 2940", "Divide both sides by -20: x = -147"], "final_answer": "-147", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x + 50948 = x + 53888", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 50948, \"d\": 53888, \"x\": -147}", "seed": "10898110545408530384", "semantic_fingerprint": "sha256:f95f8f0a91066dc7a04b1139a2c2c6573213274546f744cc1b6029928a6e410b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005082", "prompt": "Evaluate: -2132 / 39195 - 7642", "solution_steps": ["Divide: -2132 / 39195 = -164/3015", "Subtract: -164/3015 - 7642 = -23040794/3015"], "final_answer": "-23040794/3015", "answer_type": "rational", "kind": "expression", "math_text": "-2132 / 39195 - 7642", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2132, \"b\": 39195, \"c\": 7642}", "seed": "17666579926321912421", "semantic_fingerprint": "sha256:753b1a2ab1dacd3b84f919a33fd2ff2f8fa67a7b87890a1cc633daa40636be96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005083", "prompt": "Compute: -26030 * (8958 / (-33137))", "solution_steps": ["Divide: 8958 / (-33137) = -8958/33137", "Multiply: -26030 * (-8958/33137) = 233176740/33137"], "final_answer": "233176740/33137", "answer_type": "rational", "kind": "expression", "math_text": "-26030 * (8958 / (-33137))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26030, \"b\": 8958, \"c\": -33137}", "seed": "5498144245438345674", "semantic_fingerprint": "sha256:e9643a806c62e000ddc03465efc481317d5e6f997f6f3ae5832655731042e7da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005084", "prompt": "What value of x satisfies -31(x - 8823) = 40(x + 15243)?", "solution_steps": ["Expand: -31x + 273513 = 40(x + 15243)", "Expand: -31x + 273513 = 40x + 609720", "Subtract 40x from both sides: -71x + 273513 = 609720", "Subtract 273513 from both sides: -71x = 336207", "Divide both sides by -71: x = -336207/71"], "final_answer": "-336207/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 8823) = 40(x + 15243)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8823, \"c\": 40, \"d\": 15243}", "seed": "12626241008594537614", "semantic_fingerprint": "sha256:15718e66d1b8b8275a13cf1069956dafd7d9d19d409cc5df6e788f259fb76fa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005085", "prompt": "Evaluate: 70257 - (1191 - 1931 / 5599)", "solution_steps": ["Divide: 1931 / 5599 = 1931/5599", "Subtract: 1191 - 1931/5599 = 6666478/5599", "Subtract: 70257 - 6666478/5599 = 386702465/5599"], "final_answer": "386702465/5599", "answer_type": "rational", "kind": "expression", "math_text": "70257 - (1191 - 1931 / 5599)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70257, \"b\": 1191, \"c\": 1931, \"d\": 5599}", "seed": "3951606094097433155", "semantic_fingerprint": "sha256:324f2b9dafbff81374c85783826cd176c7e52fedce7e0fa5162a2fe1393638d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005086", "prompt": "Find x: 38x - 8940 = -26139", "solution_steps": ["Add 8940 to both sides: 38x = -17199", "Divide both sides by 38: x = -17199/38"], "final_answer": "-17199/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x - 8940 = -26139", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 8940, \"c\": -26139}", "seed": "15818728800212089467", "semantic_fingerprint": "sha256:5cad66a821f056e31be195a232a2d78c29e293c438414e92f1f9e5e759fc57e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005087", "prompt": "Find x: -36x - 9880 = x - 2850", "solution_steps": ["Subtract x from both sides: -37x - 9880 = -2850", "Add 9880 to both sides: -37x = 7030", "Divide both sides by -37: x = -190"], "final_answer": "-190", "answer_type": "integer", "kind": "linear_equation", "math_text": "-36x - 9880 = x - 2850", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 9880, \"d\": -2850, \"x\": -190}", "seed": "10197614234690258163", "semantic_fingerprint": "sha256:587a3e7dbd665eb5dc54f8ab33aea5fa1d1a15e91df370456a43654bbe731c5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005088", "prompt": "What value of x satisfies 22(x - 72614) - 9353 = x - 3038?", "solution_steps": ["Expand: 22x - 1597508 - 9353 = x - 3038", "Combine constants: 22x - 1606861 = x - 3038", "Subtract x from both sides: 21x - 1606861 = -3038", "Add 1606861 to both sides: 21x = 1603823", "Divide both sides by 21: x = 1603823/21"], "final_answer": "1603823/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 72614) - 9353 = x - 3038", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 72614, \"c\": 9353, \"d\": 3038}", "seed": "11449644146437908027", "semantic_fingerprint": "sha256:1c67c0e8af0ae5e49c0ccd447aa829c411e6208dc6e2225edc77fde42003ec4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005089", "prompt": "Solve the equation -40(x - 5818) = 22(x - 4711) for x.", "solution_steps": ["Expand: -40x + 232720 = 22(x - 4711)", "Expand: -40x + 232720 = 22x - 103642", "Subtract 22x from both sides: -62x + 232720 = -103642", "Subtract 232720 from both sides: -62x = -336362", "Divide both sides by -62: x = 168181/31"], "final_answer": "168181/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 5818) = 22(x - 4711)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 5818, \"c\": 22, \"d\": 4711}", "seed": "5828554009261190473", "semantic_fingerprint": "sha256:16371db4d19e93abe5a21190269a8d42fc414d296155c654e9918b703a243209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005090", "prompt": "What value of x satisfies 27x = x + 2496?", "solution_steps": ["Subtract x from both sides: 26x = 2496", "Divide both sides by 26: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = x + 2496", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": 2496, \"x\": 96}", "seed": "1279168602191721813", "semantic_fingerprint": "sha256:8a750c1ab4bcbc6892f136259a858f94e9ad7e765d51cc6663b05fb8dc5629a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005091", "prompt": "Compute: 2817 - (-3317) + (5378 - (4631 + (-8919) / (-8685)))", "solution_steps": ["Subtract: 2817 - (-3317) = 6134", "Divide: -8919 / (-8685) = 991/965", "Add: 4631 + 991/965 = 4469906/965", "Subtract: 5378 - 4469906/965 = 719864/965", "Add: 6134 + 719864/965 = 6639174/965"], "final_answer": "6639174/965", "answer_type": "rational", "kind": "expression", "math_text": "2817 - (-3317) + (5378 - (4631 + (-8919) / (-8685)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (+ n (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2817, \"b\": -3317, \"c\": 5378, \"d\": 4631, \"e\": -8919, \"f\": -8685}", "seed": "7711369670294357164", "semantic_fingerprint": "sha256:4bfb9721a167c9dec4d9e607e118b30d46795a5474fae971eca63352b9655cad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005092", "prompt": "Solve the equation -27(x + 1836) + 39388 = 40x for x.", "solution_steps": ["Expand: -27x - 49572 + 39388 = 40x", "Combine constants: -27x - 10184 = 40x", "Subtract 40x from both sides: -67x - 10184 = 0", "Add 10184 to both sides: -67x = 10184", "Divide both sides by -67: x = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x + 1836) + 39388 = 40x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 1836, \"c\": 40, \"e\": 39388, \"x\": -152}", "seed": "1419387413147745133", "semantic_fingerprint": "sha256:44f862af7c048cd9376d58ce80298735685b6c2a35a0f3cf9cd1db98966f4d9e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005093", "prompt": "Compute: -75990 + (-98854 - 5613) / (-70087)", "solution_steps": ["Subtract: -98854 - 5613 = -104467", "Divide: -104467 / (-70087) = 104467/70087", "Add: -75990 + 104467/70087 = -5325806663/70087"], "final_answer": "-5325806663/70087", "answer_type": "rational", "kind": "expression", "math_text": "-75990 + (-98854 - 5613) / (-70087)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -75990, \"b\": -98854, \"c\": 5613, \"d\": -70087}", "seed": "6692402223328732338", "semantic_fingerprint": "sha256:77f916ed08f156172465024d9580fdc6f8a101e2ac4a247ed0d0038c8f58ece9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005094", "prompt": "What value of x satisfies 14(x - 8566) - 9753 = x - 84127?", "solution_steps": ["Expand: 14x - 119924 - 9753 = x - 84127", "Combine constants: 14x - 129677 = x - 84127", "Subtract x from both sides: 13x - 129677 = -84127", "Add 129677 to both sides: 13x = 45550", "Divide both sides by 13: x = 45550/13"], "final_answer": "45550/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 8566) - 9753 = x - 84127", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 8566, \"c\": 9753, \"d\": 84127}", "seed": "2752617929471988610", "semantic_fingerprint": "sha256:40c5300906ca832451ab698bce2645845e7437a258770344940a6f9469fe601e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005095", "prompt": "What is 1450 - 2008?", "solution_steps": ["Subtract: 1450 - 2008 = -558"], "final_answer": "-558", "answer_type": "integer", "kind": "expression", "math_text": "1450 - 2008", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1450, \"b\": 2008}", "seed": "13562317954111398747", "semantic_fingerprint": "sha256:12d87890a989b1315c2c276b63d2405cec28e503b3e26873f0c5a88dc15c59cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005096", "prompt": "Find x: 27x = x - 3822", "solution_steps": ["Subtract x from both sides: 26x = -3822", "Divide both sides by 26: x = -147"], "final_answer": "-147", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = x - 3822", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -3822, \"x\": -147}", "seed": "6133757920699382209", "semantic_fingerprint": "sha256:82685c8572e937ec633b2572cb0451c20150ea6c8bf7dfa4c398f15f89696052", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005097", "prompt": "Solve the equation -14x - 4577 = x for x.", "solution_steps": ["Subtract x from both sides: -15x - 4577 = 0", "Add 4577 to both sides: -15x = 4577", "Divide both sides by -15: x = -4577/15"], "final_answer": "-4577/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x - 4577 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 4577}", "seed": "6103068282971586309", "semantic_fingerprint": "sha256:28f9dfd96a969106199c21ed0348fb27a357e1f19f9cbf8b5bb0f8fef7dbfbce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005098", "prompt": "Solve the equation -15(x - 3041) = 23(x + 91089) - 41577 for x.", "solution_steps": ["Expand: -15x + 45615 = 23(x + 91089) - 41577", "Expand: -15x + 45615 = 23x + 2095047 - 41577", "Combine constants: -15x + 45615 = 23x + 2053470", "Subtract 23x from both sides: -38x + 45615 = 2053470", "Subtract 45615 from both sides: -38x = 2007855", "Divide both sides by -38: x = -2007855/38"], "final_answer": "-2007855/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 3041) = 23(x + 91089) - 41577", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 3041, \"c\": 23, \"d\": 91089, \"e\": 41577}", "seed": "5081646958311819970", "semantic_fingerprint": "sha256:dd093f137674908dab217edf638066042c6821cc9627ce002b29a24a51e0aef1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005099", "prompt": "Compute: -68893 * (-6802 + 7733)", "solution_steps": ["Add: -6802 + 7733 = 931", "Multiply: -68893 * 931 = -64139383"], "final_answer": "-64139383", "answer_type": "integer", "kind": "expression", "math_text": "-68893 * (-6802 + 7733)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -68893, \"b\": -6802, \"c\": 7733}", "seed": "14855744898510996025", "semantic_fingerprint": "sha256:8cfb19b2a234c15f43d03a1af36d2f94b51a0e72010d2fc04a4a0146240ac1f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005100", "prompt": "Solve the equation -35x - 4572 = x for x.", "solution_steps": ["Subtract x from both sides: -36x - 4572 = 0", "Add 4572 to both sides: -36x = 4572", "Divide both sides by -36: x = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x - 4572 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": -4572, \"x\": -127}", "seed": "9340223895301359798", "semantic_fingerprint": "sha256:681920d37bb725913dd52ec1a489fe6aa344b7b7ed628eff935e2488ce09d5d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005101", "prompt": "What is 98830 / (-68595)?", "solution_steps": ["Divide: 98830 / (-68595) = -19766/13719"], "final_answer": "-19766/13719", "answer_type": "rational", "kind": "expression", "math_text": "98830 / (-68595)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98830, \"b\": -68595}", "seed": "8783611794989975686", "semantic_fingerprint": "sha256:f688e2e2ad9ffc2ef1bf173ea8b0b61fc725f9ba0bc95556bc4aff3ee8dd1c6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005102", "prompt": "Evaluate: 94616 - (57659 + 66731) - (-2065)", "solution_steps": ["Add: 57659 + 66731 = 124390", "Subtract: 94616 - 124390 = -29774", "Subtract: -29774 - (-2065) = -27709"], "final_answer": "-27709", "answer_type": "integer", "kind": "expression", "math_text": "94616 - (57659 + 66731) - (-2065)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 94616, \"b\": 57659, \"c\": 66731, \"d\": -2065}", "seed": "13838596677742072722", "semantic_fingerprint": "sha256:584a9224177c86202853766b9c27b09b08590334a2df60aeed7d502f3ea6e5e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005103", "prompt": "Evaluate: 56264 + (-4988)", "solution_steps": ["Add: 56264 + (-4988) = 51276"], "final_answer": "51276", "answer_type": "integer", "kind": "expression", "math_text": "56264 + (-4988)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 56264, \"b\": -4988}", "seed": "14382901407039342313", "semantic_fingerprint": "sha256:345cd3096886739dd15ecd046cab0ca23cd243ed1cfa7278dd1ad76a67ab96ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005104", "prompt": "What is -70445 - (-23490) / (-1340 + (-5980) - 20609)?", "solution_steps": ["Add: -1340 + (-5980) = -7320", "Subtract: -7320 - 20609 = -27929", "Divide: -23490 / (-27929) = 23490/27929", "Subtract: -70445 - 23490/27929 = -1967481895/27929"], "final_answer": "-1967481895/27929", "answer_type": "rational", "kind": "expression", "math_text": "-70445 - (-23490) / (-1340 + (-5980) - 20609)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (- (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -70445, \"b\": -23490, \"c\": -1340, \"d\": -5980, \"e\": 20609}", "seed": "5387828754923967483", "semantic_fingerprint": "sha256:747fe4ba8cb2ecb4c2f870a7068725afe61515c24cb77ef7ec29c7ce366fe4f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005105", "prompt": "Evaluate: -1010 + (-16448) - (-8183)", "solution_steps": ["Add: -1010 + (-16448) = -17458", "Subtract: -17458 - (-8183) = -9275"], "final_answer": "-9275", "answer_type": "integer", "kind": "expression", "math_text": "-1010 + (-16448) - (-8183)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1010, \"b\": -16448, \"c\": -8183}", "seed": "5859957420353967838", "semantic_fingerprint": "sha256:e898d1c12497cc163859a4485f0a97ff59dd3c08be19c07890c97b922b6e30b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005106", "prompt": "Calculate: -9105 / ((34880 - 34457) / (-6775 - (-4621) * 9648))", "solution_steps": ["Subtract: 34880 - 34457 = 423", "Multiply: -4621 * 9648 = -44583408", "Subtract: -6775 - (-44583408) = 44576633", "Divide: 423 / 44576633 = 9/948439", "Divide: -9105 / (9/948439) = -2878512365/3"], "final_answer": "-2878512365/3", "answer_type": "rational", "kind": "expression", "math_text": "-9105 / ((34880 - 34457) / (-6775 - (-4621) * 9648))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n n) (- n (* n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9105, \"b\": 34880, \"c\": 34457, \"d\": -6775, \"e\": -4621, \"f\": 9648}", "seed": "7211913778332437199", "semantic_fingerprint": "sha256:8861a6cba33aaf8889f61cac756408d25de1744dfac282740a3bd1bfc3be296f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005107", "prompt": "Calculate: (-4653 + 1601) * (9140 / 18073 - (-9632))", "solution_steps": ["Add: -4653 + 1601 = -3052", "Divide: 9140 / 18073 = 9140/18073", "Subtract: 9140/18073 - (-9632) = 174088276/18073", "Multiply: -3052 * (174088276/18073) = -531317418352/18073"], "final_answer": "-531317418352/18073", "answer_type": "rational", "kind": "expression", "math_text": "(-4653 + 1601) * (9140 / 18073 - (-9632))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4653, \"b\": 1601, \"c\": 9140, \"d\": 18073, \"e\": -9632}", "seed": "4200566374406390002", "semantic_fingerprint": "sha256:f94f9fca93a98a29fbbcb88a3df04a41060d93e623b5d91176b38a10d5c37bc6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005108", "prompt": "Find x: 32x + 8849 = -3690", "solution_steps": ["Subtract 8849 from both sides: 32x = -12539", "Divide both sides by 32: x = -12539/32"], "final_answer": "-12539/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 8849 = -3690", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8849, \"c\": -3690}", "seed": "9012557306268348174", "semantic_fingerprint": "sha256:b34576833a3e6212907f9ed07a76c2c91165a09f3ba657f99bd803d9f00c6f55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005109", "prompt": "Solve the equation -27x = 27(x + 1273) for x.", "solution_steps": ["Expand: -27x = 27x + 34371", "Subtract 27x from both sides: -54x = 34371", "Divide both sides by -54: x = -1273/2"], "final_answer": "-1273/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x = 27(x + 1273)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 27, \"c\": 1273}", "seed": "11095167608706594818", "semantic_fingerprint": "sha256:ece94329b57143591677dac4eceeb227d960dbd81a7353be2fb62d2405842791", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005110", "prompt": "Calculate: 6860 - (-49259 / (-40574) + 1412 * (-5034)) - 18611", "solution_steps": ["Divide: -49259 / (-40574) = 49259/40574", "Multiply: 1412 * (-5034) = -7108008", "Add: 49259/40574 + (-7108008) = -288400267333/40574", "Subtract: 6860 - (-288400267333/40574) = 288678604973/40574", "Subtract: 288678604973/40574 - 18611 = 287923482259/40574"], "final_answer": "287923482259/40574", "answer_type": "rational", "kind": "expression", "math_text": "6860 - (-49259 / (-40574) + 1412 * (-5034)) - 18611", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (/ n n) (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6860, \"b\": -49259, \"c\": -40574, \"d\": 1412, \"e\": -5034, \"f\": 18611}", "seed": "8511997271983722124", "semantic_fingerprint": "sha256:1082ca2819cbad4ead8fcdb8eb6b2481ace285d1b22c687ae31d8540da18faa9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005111", "prompt": "What value of x satisfies x + 8866 = 39x?", "solution_steps": ["Subtract 39x from both sides: -38x + 8866 = 0", "Subtract 8866 from both sides: -38x = -8866", "Divide both sides by -38: x = 4433/19"], "final_answer": "4433/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8866 = 39x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8866, \"b\": 39}", "seed": "12840389898013971703", "semantic_fingerprint": "sha256:85ba98260485922b60e84f39777c1a7124e6e7a3dcd54282a5e990ac9fa9e8df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005112", "prompt": "Calculate: -5764 + 56974", "solution_steps": ["Add: -5764 + 56974 = 51210"], "final_answer": "51210", "answer_type": "integer", "kind": "expression", "math_text": "-5764 + 56974", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5764, \"b\": 56974}", "seed": "18433314309003069104", "semantic_fingerprint": "sha256:c13949b2d5948931f15c29e019bbb1adbeb6e4f5307661be23a2ee26f4cc8322", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005113", "prompt": "What is 39701 + (-4485)?", "solution_steps": ["Add: 39701 + (-4485) = 35216"], "final_answer": "35216", "answer_type": "integer", "kind": "expression", "math_text": "39701 + (-4485)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 39701, \"b\": -4485}", "seed": "13540480148968582516", "semantic_fingerprint": "sha256:f6ed6fd5e6477e5fc89a47675337bc4e193ef87f7e26371a66c71d6b89cef46f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005114", "prompt": "Solve for x: 34(x - 2508) = -82212", "solution_steps": ["Expand: 34x - 85272 = -82212", "Add 85272 to both sides: 34x = 3060", "Divide both sides by 34: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x - 2508) = -82212", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2508, \"d\": -82212, \"x\": 90}", "seed": "5532112231670182472", "semantic_fingerprint": "sha256:0282f9a3b86d1627e04cd7857f3ebc0b97c2e7b4ad11a4d9bdacbc2b8cc91ada", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005115", "prompt": "What is 8571 * 7391 - (-3051) * 8907?", "solution_steps": ["Multiply: 8571 * 7391 = 63348261", "Multiply: -3051 * 8907 = -27175257", "Subtract: 63348261 - (-27175257) = 90523518"], "final_answer": "90523518", "answer_type": "integer", "kind": "expression", "math_text": "8571 * 7391 - (-3051) * 8907", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8571, \"b\": 7391, \"c\": -3051, \"d\": 8907}", "seed": "224039000977624782", "semantic_fingerprint": "sha256:45fbe8f3f39ac9269c5c600d750d6b3f5154bcfd675575746e6fe6d636602037", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005116", "prompt": "Solve for x: -28x - 91095 = 20x + 7071", "solution_steps": ["Subtract 20x from both sides: -48x - 91095 = 7071", "Add 91095 to both sides: -48x = 98166", "Divide both sides by -48: x = -16361/8"], "final_answer": "-16361/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28x - 91095 = 20x + 7071", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 91095, \"c\": 20, \"d\": 7071}", "seed": "17992763783271565472", "semantic_fingerprint": "sha256:4c7277edc3b9bab640fd1ee74f5c6801fcfc89659c63829e60540f584b6483d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005117", "prompt": "Find x: -31(x - 8688) = -37(x + 3710) + 85886", "solution_steps": ["Expand: -31x + 269328 = -37(x + 3710) + 85886", "Expand: -31x + 269328 = -37x - 137270 + 85886", "Combine constants: -31x + 269328 = -37x - 51384", "Add 37x to both sides: 6x + 269328 = -51384", "Subtract 269328 from both sides: 6x = -320712", "Divide both sides by 6: x = -53452"], "final_answer": "-53452", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31(x - 8688) = -37(x + 3710) + 85886", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8688, \"c\": -37, \"d\": 3710, \"e\": 85886}", "seed": "5081897236278736862", "semantic_fingerprint": "sha256:73e64ab0fd29e11359f7584974123222efdcb92016eca3be6ebfa2240bd9692b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005118", "prompt": "What is -8531 / (-3821)?", "solution_steps": ["Divide: -8531 / (-3821) = 8531/3821"], "final_answer": "8531/3821", "answer_type": "rational", "kind": "expression", "math_text": "-8531 / (-3821)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8531, \"b\": -3821}", "seed": "778321884211837078", "semantic_fingerprint": "sha256:9216ffe34c59bd4606e5a551808656844537924023d27088f947d95084ee553c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005119", "prompt": "What is 1057 * 52934?", "solution_steps": ["Multiply: 1057 * 52934 = 55951238"], "final_answer": "55951238", "answer_type": "integer", "kind": "expression", "math_text": "1057 * 52934", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1057, \"b\": 52934}", "seed": "5186245476101266661", "semantic_fingerprint": "sha256:2ed8b4ba7544edfba200dae78ca07a1bc2305131a99e4880e7da545ce063a7d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005120", "prompt": "Find x: 13x + 7312 = x + 7348", "solution_steps": ["Subtract x from both sides: 12x + 7312 = 7348", "Subtract 7312 from both sides: 12x = 36", "Divide both sides by 12: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 7312 = x + 7348", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7312, \"c\": 7348}", "seed": "3123237421726141776", "semantic_fingerprint": "sha256:f81f211b9a005a60e4864b93b7ef25fa7d164997b163f4a04522d7c6dc94b863", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005121", "prompt": "Compute: 7225 * (-3743 + 86882)", "solution_steps": ["Add: -3743 + 86882 = 83139", "Multiply: 7225 * 83139 = 600679275"], "final_answer": "600679275", "answer_type": "integer", "kind": "expression", "math_text": "7225 * (-3743 + 86882)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7225, \"b\": -3743, \"c\": 86882}", "seed": "12965931673578888350", "semantic_fingerprint": "sha256:7b0bde655bc3c7e9365dff5c39ef97100011ea363713ce51e8372c9e72b7867b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005122", "prompt": "Evaluate: 1878 * (5176 - 93065)", "solution_steps": ["Subtract: 5176 - 93065 = -87889", "Multiply: 1878 * (-87889) = -165055542"], "final_answer": "-165055542", "answer_type": "integer", "kind": "expression", "math_text": "1878 * (5176 - 93065)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1878, \"b\": 5176, \"c\": 93065}", "seed": "7526143300217122043", "semantic_fingerprint": "sha256:b8ec160fb29d27999cd08c21f6723293b86ecbf4508b2aeec9147a646764a4e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005123", "prompt": "Solve for x: 38(x + 53152) = 22(x - 59498)", "solution_steps": ["Expand: 38x + 2019776 = 22(x - 59498)", "Expand: 38x + 2019776 = 22x - 1308956", "Subtract 22x from both sides: 16x + 2019776 = -1308956", "Subtract 2019776 from both sides: 16x = -3328732", "Divide both sides by 16: x = -832183/4"], "final_answer": "-832183/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 53152) = 22(x - 59498)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 53152, \"c\": 22, \"d\": 59498}", "seed": "2995400415908167272", "semantic_fingerprint": "sha256:31abfe17f911bf04f5f1dd074d77a811c3dc48a902f43151bf16d897cd703388", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005124", "prompt": "Calculate: 68018 * 2604 - (59183 - (-18369))", "solution_steps": ["Multiply: 68018 * 2604 = 177118872", "Subtract: 59183 - (-18369) = 77552", "Subtract: 177118872 - 77552 = 177041320"], "final_answer": "177041320", "answer_type": "integer", "kind": "expression", "math_text": "68018 * 2604 - (59183 - (-18369))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68018, \"b\": 2604, \"c\": 59183, \"d\": -18369}", "seed": "16943937264537756590", "semantic_fingerprint": "sha256:16ed3fc8cc4eea723a1a14e09c9cabd07b071435b7e4fdb401a9dd3d278bbdea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005125", "prompt": "Evaluate: -8080 * (-9154) + (-32187)", "solution_steps": ["Multiply: -8080 * (-9154) = 73964320", "Add: 73964320 + (-32187) = 73932133"], "final_answer": "73932133", "answer_type": "integer", "kind": "expression", "math_text": "-8080 * (-9154) + (-32187)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8080, \"b\": -9154, \"c\": -32187}", "seed": "12543117728150616087", "semantic_fingerprint": "sha256:f1d97bd7d6b7121936368f3f9313c0c5b116c8ca21ad47c0022cf89c93d625e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005126", "prompt": "What is -12064 * (-4045) - (-9509)?", "solution_steps": ["Multiply: -12064 * (-4045) = 48798880", "Subtract: 48798880 - (-9509) = 48808389"], "final_answer": "48808389", "answer_type": "integer", "kind": "expression", "math_text": "-12064 * (-4045) - (-9509)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12064, \"b\": -4045, \"c\": -9509}", "seed": "17612146800898041505", "semantic_fingerprint": "sha256:f95cf0a3f21b7fe72689ef46fd3b62deb43a0cf010067ecde3ced8dc02d1f4e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005127", "prompt": "Compute: (23424 + (-74546)) / (9086 + (-91776)) * 58233", "solution_steps": ["Add: 23424 + (-74546) = -51122", "Add: 9086 + (-91776) = -82690", "Divide: -51122 / (-82690) = 25561/41345", "Multiply: (25561/41345) * 58233 = 1488493713/41345"], "final_answer": "1488493713/41345", "answer_type": "rational", "kind": "expression", "math_text": "(23424 + (-74546)) / (9086 + (-91776)) * 58233", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23424, \"b\": -74546, \"c\": 9086, \"d\": -91776, \"e\": 58233}", "seed": "1925144563052657636", "semantic_fingerprint": "sha256:c270fd615175b5ee2606724249302236e21dc02fdc58a63b2d84bc3ad126b0c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005128", "prompt": "Evaluate: -20387 + 1355", "solution_steps": ["Add: -20387 + 1355 = -19032"], "final_answer": "-19032", "answer_type": "integer", "kind": "expression", "math_text": "-20387 + 1355", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -20387, \"b\": 1355}", "seed": "14979715283340867717", "semantic_fingerprint": "sha256:37ce1ab0042fe52c19ee6287607cfa65c164a50fa44c338e80721d4cf75a8c4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005129", "prompt": "Find x: x + 6333 = -21(x - 1155) + 1000", "solution_steps": ["Expand: x + 6333 = -21x + 24255 + 1000", "Combine constants: x + 6333 = -21x + 25255", "Add 21x to both sides: 22x + 6333 = 25255", "Subtract 6333 from both sides: 22x = 18922", "Divide both sides by 22: x = 9461/11"], "final_answer": "9461/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6333 = -21(x - 1155) + 1000", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6333, \"b\": -21, \"c\": 1155, \"d\": 1000}", "seed": "4165618359141401251", "semantic_fingerprint": "sha256:e8ae94f211d88feeea7eac6220404e1c7f2a8124b01600b60039cc37d7d07a30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005130", "prompt": "Compute: -8679 - (-7742)", "solution_steps": ["Subtract: -8679 - (-7742) = -937"], "final_answer": "-937", "answer_type": "integer", "kind": "expression", "math_text": "-8679 - (-7742)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8679, \"b\": -7742}", "seed": "13659133710783672094", "semantic_fingerprint": "sha256:6208f169af0db7e15887e4feebdcc5f41acc0643e6b2fda367f99c7b594cee1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005131", "prompt": "Find x: 32(x + 21560) = x", "solution_steps": ["Expand: 32x + 689920 = x", "Subtract x from both sides: 31x + 689920 = 0", "Subtract 689920 from both sides: 31x = -689920", "Divide both sides by 31: x = -689920/31"], "final_answer": "-689920/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 21560) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 21560}", "seed": "16765172343341158049", "semantic_fingerprint": "sha256:b0d0cf175fdbb34a04726b891c8e9b62951f82514ab6b59e17a2802e691901fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005132", "prompt": "What value of x satisfies 22x + 9846 = 17(x - 2653)?", "solution_steps": ["Expand: 22x + 9846 = 17x - 45101", "Subtract 17x from both sides: 5x + 9846 = -45101", "Subtract 9846 from both sides: 5x = -54947", "Divide both sides by 5: x = -54947/5"], "final_answer": "-54947/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x + 9846 = 17(x - 2653)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 9846, \"c\": 17, \"d\": 2653}", "seed": "12768465172119751902", "semantic_fingerprint": "sha256:73c7410dd8dbd03270ce4f60ed65ecdc9894b79d85ce9e291d3a2d7274c3d975", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005133", "prompt": "Solve the equation 20(x + 9939) = 13(x + 4034) for x.", "solution_steps": ["Expand: 20x + 198780 = 13(x + 4034)", "Expand: 20x + 198780 = 13x + 52442", "Subtract 13x from both sides: 7x + 198780 = 52442", "Subtract 198780 from both sides: 7x = -146338", "Divide both sides by 7: x = -146338/7"], "final_answer": "-146338/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 9939) = 13(x + 4034)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 9939, \"c\": 13, \"d\": 4034}", "seed": "10476363110725346625", "semantic_fingerprint": "sha256:f8867643c89696d73b51239e2bb270d2e27453a7bcf49636b6ed07cedb386bf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005134", "prompt": "What is -7874 * (-11720) + (-4711 + (-34369)) * 9235?", "solution_steps": ["Multiply: -7874 * (-11720) = 92283280", "Add: -4711 + (-34369) = -39080", "Multiply: -39080 * 9235 = -360903800", "Add: 92283280 + (-360903800) = -268620520"], "final_answer": "-268620520", "answer_type": "integer", "kind": "expression", "math_text": "-7874 * (-11720) + (-4711 + (-34369)) * 9235", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7874, \"b\": -11720, \"c\": -4711, \"d\": -34369, \"e\": 9235}", "seed": "2691571860621519980", "semantic_fingerprint": "sha256:da640fba74814bdb8a9218ebe03dd40ee5b20debefd32cb4e2071dde88b3eff3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005135", "prompt": "Evaluate: (-2455 + (-7767) - (-48810) - (-77108)) / 8375 * (-69725)", "solution_steps": ["Add: -2455 + (-7767) = -10222", "Subtract: -10222 - (-48810) = 38588", "Subtract: 38588 - (-77108) = 115696", "Divide: 115696 / 8375 = 115696/8375", "Multiply: (115696/8375) * (-69725) = -322676144/335"], "final_answer": "-322676144/335", "answer_type": "rational", "kind": "expression", "math_text": "(-2455 + (-7767) - (-48810) - (-77108)) / 8375 * (-69725)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (- (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2455, \"b\": -7767, \"c\": -48810, \"d\": -77108, \"e\": 8375, \"f\": -69725}", "seed": "3189609447234606807", "semantic_fingerprint": "sha256:cd292332fc902510df0bcf4f4246441c911e67afedba47969eb346bcf4a6e753", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005136", "prompt": "Evaluate: 34895 * 3487 / (-33020)", "solution_steps": ["Multiply: 34895 * 3487 = 121678865", "Divide: 121678865 / (-33020) = -24335773/6604"], "final_answer": "-24335773/6604", "answer_type": "rational", "kind": "expression", "math_text": "34895 * 3487 / (-33020)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34895, \"b\": 3487, \"c\": -33020}", "seed": "1866604789114684923", "semantic_fingerprint": "sha256:f2b63a7677af27a3b8f54c58dcb9a6410728ee55c7ee12399549cdac094d703e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005137", "prompt": "Calculate: -9095 * (-2177) + (-8436 + 4547)", "solution_steps": ["Multiply: -9095 * (-2177) = 19799815", "Add: -8436 + 4547 = -3889", "Add: 19799815 + (-3889) = 19795926"], "final_answer": "19795926", "answer_type": "integer", "kind": "expression", "math_text": "-9095 * (-2177) + (-8436 + 4547)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9095, \"b\": -2177, \"c\": -8436, \"d\": 4547}", "seed": "15977203110971528655", "semantic_fingerprint": "sha256:3c4f66c596f1d0a86bca21a539cde21147bbde561dc54e5a82a5c1b47532ea67", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005138", "prompt": "Find x: 31(x + 20689) + 7547 = -33(x - 53612) - 42574", "solution_steps": ["Expand: 31x + 641359 + 7547 = -33(x - 53612) - 42574", "Expand: 31x + 641359 + 7547 = -33x + 1769196 - 42574", "Combine constants: 31x + 648906 = -33x + 1769196 - 42574", "Combine constants: 31x + 648906 = -33x + 1726622", "Add 33x to both sides: 64x + 648906 = 1726622", "Subtract 648906 from both sides: 64x = 1077716", "Divide both sides by 64: x = 269429/16"], "final_answer": "269429/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 20689) + 7547 = -33(x - 53612) - 42574", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 20689, \"c\": 7547, \"d\": -33, \"e\": 53612, \"f\": 42574}", "seed": "4855271976972762562", "semantic_fingerprint": "sha256:e0d1218d4d285fd8b8149ce51836eb4c0c7d637319f6f2e3b94cbbe5a76584ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005139", "prompt": "Solve for x: 15x + 4640 = x", "solution_steps": ["Subtract x from both sides: 14x + 4640 = 0", "Subtract 4640 from both sides: 14x = -4640", "Divide both sides by 14: x = -2320/7"], "final_answer": "-2320/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x + 4640 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4640}", "seed": "1540300186804868249", "semantic_fingerprint": "sha256:9a1ac364a9468f53ef59d3ac76cb6be3f0a49487904379fe81caf04040f32908", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005140", "prompt": "Solve for x: x + 1344 = -25(x + 1660) - 81962", "solution_steps": ["Expand: x + 1344 = -25x - 41500 - 81962", "Combine constants: x + 1344 = -25x - 123462", "Add 25x to both sides: 26x + 1344 = -123462", "Subtract 1344 from both sides: 26x = -124806", "Divide both sides by 26: x = -62403/13"], "final_answer": "-62403/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1344 = -25(x + 1660) - 81962", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1344, \"b\": -25, \"c\": 1660, \"d\": 81962}", "seed": "9916940878646580369", "semantic_fingerprint": "sha256:dee33c1029a0e1287425a699f3fdb6a8d70219a1cbd5744e8444fdeb7fd8d1f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005141", "prompt": "Find x: -23(x + 3124) - 36898 = 35(x - 11028)", "solution_steps": ["Expand: -23x - 71852 - 36898 = 35(x - 11028)", "Expand: -23x - 71852 - 36898 = 35x - 385980", "Combine constants: -23x - 108750 = 35x - 385980", "Subtract 35x from both sides: -58x - 108750 = -385980", "Add 108750 to both sides: -58x = -277230", "Divide both sides by -58: x = 138615/29"], "final_answer": "138615/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 3124) - 36898 = 35(x - 11028)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 3124, \"c\": 36898, \"d\": 35, \"e\": 11028}", "seed": "2870902460128453143", "semantic_fingerprint": "sha256:075a3e5e45e7c43dba5b4eec80790489cdb76eb78c8d48db0e6bdcc940c00cdc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005142", "prompt": "Compute: 32484 / (-4728)", "solution_steps": ["Divide: 32484 / (-4728) = -2707/394"], "final_answer": "-2707/394", "answer_type": "rational", "kind": "expression", "math_text": "32484 / (-4728)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32484, \"b\": -4728}", "seed": "3286775566649290537", "semantic_fingerprint": "sha256:3abb54ef0ae21c2cd880e15a16abd3575801dd68bc92a86c060aecaff8e56677", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005143", "prompt": "Evaluate: (-8844 + (-3607) + (-4028)) / 1022", "solution_steps": ["Add: -8844 + (-3607) = -12451", "Add: -12451 + (-4028) = -16479", "Divide: -16479 / 1022 = -16479/1022"], "final_answer": "-16479/1022", "answer_type": "rational", "kind": "expression", "math_text": "(-8844 + (-3607) + (-4028)) / 1022", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8844, \"b\": -3607, \"c\": -4028, \"d\": 1022}", "seed": "8805632822887385491", "semantic_fingerprint": "sha256:0db5d6817bb59d21dea36042db66f033eaf990f55e3364203dda97770c5de45e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005144", "prompt": "Solve for x: x + 1302 = 32x", "solution_steps": ["Subtract 32x from both sides: -31x + 1302 = 0", "Subtract 1302 from both sides: -31x = -1302", "Divide both sides by -31: x = 42"], "final_answer": "42", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1302 = 32x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": 1302, \"x\": 42}", "seed": "8304605440807001354", "semantic_fingerprint": "sha256:4af12ed095a6cb36b37df66d2d6b9b9d5981d3014c178609f1455604bb070a43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005145", "prompt": "Evaluate: -93718 * (-7132 - (-3076))", "solution_steps": ["Subtract: -7132 - (-3076) = -4056", "Multiply: -93718 * (-4056) = 380120208"], "final_answer": "380120208", "answer_type": "integer", "kind": "expression", "math_text": "-93718 * (-7132 - (-3076))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -93718, \"b\": -7132, \"c\": -3076}", "seed": "16681912920325797189", "semantic_fingerprint": "sha256:6ac9d6836d1ba7c2f8be4b4dee13e9601e5c9b782a61d28d74173174b4e068af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005146", "prompt": "Calculate: -7937 / 4536 + (-2853)", "solution_steps": ["Divide: -7937 / 4536 = -7937/4536", "Add: -7937/4536 + (-2853) = -12949145/4536"], "final_answer": "-12949145/4536", "answer_type": "rational", "kind": "expression", "math_text": "-7937 / 4536 + (-2853)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7937, \"b\": 4536, \"c\": -2853}", "seed": "8308498848306476094", "semantic_fingerprint": "sha256:9e96a9fd113f06e989371ab3b68de3cc4b214d01180db1c856edea461b14fa7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005147", "prompt": "Find x: 23(x + 1401) + 81480 = 20(x + 3433)", "solution_steps": ["Expand: 23x + 32223 + 81480 = 20(x + 3433)", "Expand: 23x + 32223 + 81480 = 20x + 68660", "Combine constants: 23x + 113703 = 20x + 68660", "Subtract 20x from both sides: 3x + 113703 = 68660", "Subtract 113703 from both sides: 3x = -45043", "Divide both sides by 3: x = -45043/3"], "final_answer": "-45043/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 1401) + 81480 = 20(x + 3433)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1401, \"c\": 81480, \"d\": 20, \"e\": 3433}", "seed": "12248117128862805115", "semantic_fingerprint": "sha256:cccbc20b6b9eae20bf1e15001a7ea3d7e9673e090a33d94542038c1fe857c0c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005148", "prompt": "Calculate: (-55136 + 8284) * (-4711)", "solution_steps": ["Add: -55136 + 8284 = -46852", "Multiply: -46852 * (-4711) = 220719772"], "final_answer": "220719772", "answer_type": "integer", "kind": "expression", "math_text": "(-55136 + 8284) * (-4711)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -55136, \"b\": 8284, \"c\": -4711}", "seed": "14258820290638139670", "semantic_fingerprint": "sha256:786fc09ecf9cb68bf48f9e80934b9a980e3abec9759bcbfc660ca61fbb55a498", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005149", "prompt": "Evaluate: -1150 * (-3468) + 2771", "solution_steps": ["Multiply: -1150 * (-3468) = 3988200", "Add: 3988200 + 2771 = 3990971"], "final_answer": "3990971", "answer_type": "integer", "kind": "expression", "math_text": "-1150 * (-3468) + 2771", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1150, \"b\": -3468, \"c\": 2771}", "seed": "17734313024769703503", "semantic_fingerprint": "sha256:9799fa071811957813181ec9f8f801eb805524dd6ca5bcc58e08a3a2d24e4533", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005150", "prompt": "Evaluate: -34685 * (8816 / 8568)", "solution_steps": ["Divide: 8816 / 8568 = 1102/1071", "Multiply: -34685 * (1102/1071) = -5460410/153"], "final_answer": "-5460410/153", "answer_type": "rational", "kind": "expression", "math_text": "-34685 * (8816 / 8568)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34685, \"b\": 8816, \"c\": 8568}", "seed": "627310471228183527", "semantic_fingerprint": "sha256:7836930916936c02d72e54cb61a28a645dba8f42613bbc14bdf061d76ce45307", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005151", "prompt": "Calculate: -1437 * (-13426 + (-2580) / 82302)", "solution_steps": ["Divide: -2580 / 82302 = -10/319", "Add: -13426 + (-10/319) = -4282904/319", "Multiply: -1437 * (-4282904/319) = 6154533048/319"], "final_answer": "6154533048/319", "answer_type": "rational", "kind": "expression", "math_text": "-1437 * (-13426 + (-2580) / 82302)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1437, \"b\": -13426, \"c\": -2580, \"d\": 82302}", "seed": "11779034361912310538", "semantic_fingerprint": "sha256:15f18bd951fecc178ce5fe2b66afe8d36613ccae356d9246bc7f4043cbe81a76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005152", "prompt": "Compute: 7183 * (6749 * 3358 + (4650 + (-55824)))", "solution_steps": ["Multiply: 6749 * 3358 = 22663142", "Add: 4650 + (-55824) = -51174", "Add: 22663142 + (-51174) = 22611968", "Multiply: 7183 * 22611968 = 162421766144"], "final_answer": "162421766144", "answer_type": "integer", "kind": "expression", "math_text": "7183 * (6749 * 3358 + (4650 + (-55824)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7183, \"b\": 6749, \"c\": 3358, \"d\": 4650, \"e\": -55824}", "seed": "3163352111065547777", "semantic_fingerprint": "sha256:bd95d3059472f2fb718f9532b48e030becbed69a3dd43a56380a668bdbca9b31", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005153", "prompt": "Find x: x = -30x - 7104", "solution_steps": ["Add 30x to both sides: 31x = -7104", "Divide both sides by 31: x = -7104/31"], "final_answer": "-7104/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -30x - 7104", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 7104}", "seed": "1500236682550710520", "semantic_fingerprint": "sha256:d5445494d2a8ab45ef786d2aab7634bb0595fe6f3bedce78de790118750eb139", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005154", "prompt": "Solve the equation 35(x - 9994) - 5692 = 37x - 40249 for x.", "solution_steps": ["Expand: 35x - 349790 - 5692 = 37x - 40249", "Combine constants: 35x - 355482 = 37x - 40249", "Subtract 37x from both sides: -2x - 355482 = -40249", "Add 355482 to both sides: -2x = 315233", "Divide both sides by -2: x = -315233/2"], "final_answer": "-315233/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 9994) - 5692 = 37x - 40249", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9994, \"c\": 5692, \"d\": 37, \"e\": 40249}", "seed": "9924628566993669102", "semantic_fingerprint": "sha256:5d87ab98f7851039a2e65503adc2d9989d3e138cc66cd5e657d99dcc93abe36f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005155", "prompt": "Calculate: -4177 + 5437", "solution_steps": ["Add: -4177 + 5437 = 1260"], "final_answer": "1260", "answer_type": "integer", "kind": "expression", "math_text": "-4177 + 5437", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4177, \"b\": 5437}", "seed": "13187067863290973165", "semantic_fingerprint": "sha256:840d68f1b2ade1d9bfaecd1013308d4280bff3523366126a5d218decd0e29182", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005156", "prompt": "Find x: 29x + 9883 = 38x + 10297", "solution_steps": ["Subtract 38x from both sides: -9x + 9883 = 10297", "Subtract 9883 from both sides: -9x = 414", "Divide both sides by -9: x = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x + 9883 = 38x + 10297", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 9883, \"c\": 38, \"e\": 10297, \"x\": -46}", "seed": "572373240504147732", "semantic_fingerprint": "sha256:827c227c942f3e02c4de62b850966d79456654538b3c1b392a375fca19e898a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005157", "prompt": "Calculate: 20501 / 3634 * (-2743 * 7090)", "solution_steps": ["Divide: 20501 / 3634 = 20501/3634", "Multiply: -2743 * 7090 = -19447870", "Multiply: (20501/3634) * (-19447870) = -199350391435/1817"], "final_answer": "-199350391435/1817", "answer_type": "rational", "kind": "expression", "math_text": "20501 / 3634 * (-2743 * 7090)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20501, \"b\": 3634, \"c\": -2743, \"d\": 7090}", "seed": "2680856904429134355", "semantic_fingerprint": "sha256:d1b47f4cfa50eca2431da6cbc590a78a68b1373f16e03d66515130080414946c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005158", "prompt": "Solve the equation -19(x + 2276) = x + 86039 for x.", "solution_steps": ["Expand: -19x - 43244 = x + 86039", "Subtract x from both sides: -20x - 43244 = 86039", "Add 43244 to both sides: -20x = 129283", "Divide both sides by -20: x = -129283/20"], "final_answer": "-129283/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 2276) = x + 86039", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 2276, \"c\": 86039}", "seed": "16385293804665165410", "semantic_fingerprint": "sha256:1f8a74475abafe70cce212c0c3fb72f389b35a368715f9d1cd38712d67417e87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005159", "prompt": "Calculate: 69897 - (-1112)", "solution_steps": ["Subtract: 69897 - (-1112) = 71009"], "final_answer": "71009", "answer_type": "integer", "kind": "expression", "math_text": "69897 - (-1112)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69897, \"b\": -1112}", "seed": "9089027897876369429", "semantic_fingerprint": "sha256:16e0bac0563cd962c5f94932838575fadd7f94c8bf631d6fcc36340a119928a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005160", "prompt": "Compute: 88007 / (-6879)", "solution_steps": ["Divide: 88007 / (-6879) = -88007/6879"], "final_answer": "-88007/6879", "answer_type": "rational", "kind": "expression", "math_text": "88007 / (-6879)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88007, \"b\": -6879}", "seed": "5240150231858291965", "semantic_fingerprint": "sha256:82a087f672bc2f41cb46564ebbe22373106502033632dc61089e930a478d02f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005161", "prompt": "Solve the equation 26(x - 45895) = -25(x + 2658) for x.", "solution_steps": ["Expand: 26x - 1193270 = -25(x + 2658)", "Expand: 26x - 1193270 = -25x - 66450", "Add 25x to both sides: 51x - 1193270 = -66450", "Add 1193270 to both sides: 51x = 1126820", "Divide both sides by 51: x = 1126820/51"], "final_answer": "1126820/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 45895) = -25(x + 2658)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 45895, \"c\": -25, \"d\": 2658}", "seed": "8420901766743400241", "semantic_fingerprint": "sha256:dea362a213a0ce18c3c5b722b9b9c315ba015f9cf6781950bfed5cd3f43408d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005162", "prompt": "Find x: x = 39(x + 4674)", "solution_steps": ["Expand: x = 39x + 182286", "Subtract 39x from both sides: -38x = 182286", "Divide both sides by -38: x = -4797"], "final_answer": "-4797", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 39(x + 4674)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4674}", "seed": "4602150257685235559", "semantic_fingerprint": "sha256:f1d448b7cc67c4333a83cc9855b1298a339eebd634af7c62fbc49d2883a437eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005163", "prompt": "Compute: -41069 + 7625 * (-1653) / 9533 - 6434", "solution_steps": ["Multiply: 7625 * (-1653) = -12604125", "Divide: -12604125 / 9533 = -12604125/9533", "Add: -41069 + (-12604125/9533) = -404114902/9533", "Subtract: -404114902/9533 - 6434 = -465450224/9533"], "final_answer": "-465450224/9533", "answer_type": "rational", "kind": "expression", "math_text": "-41069 + 7625 * (-1653) / 9533 - 6434", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -41069, \"b\": 7625, \"c\": -1653, \"d\": 9533, \"e\": 6434}", "seed": "9117084952839831119", "semantic_fingerprint": "sha256:cb5afea2874ff558043282e3cefdfa11343ca58a359d602963e2b6ea9cc8cb07", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005164", "prompt": "What is (-3630 - 5206) * (-4166) + 47303?", "solution_steps": ["Subtract: -3630 - 5206 = -8836", "Multiply: -8836 * (-4166) = 36810776", "Add: 36810776 + 47303 = 36858079"], "final_answer": "36858079", "answer_type": "integer", "kind": "expression", "math_text": "(-3630 - 5206) * (-4166) + 47303", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3630, \"b\": 5206, \"c\": -4166, \"d\": 47303}", "seed": "15285025004984263571", "semantic_fingerprint": "sha256:c2b5b017b156165379acc8248ea9143fdba4e0eba4b0b1d3a8e2338ce6635fc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005165", "prompt": "What is -5414 / 91157?", "solution_steps": ["Divide: -5414 / 91157 = -5414/91157"], "final_answer": "-5414/91157", "answer_type": "rational", "kind": "expression", "math_text": "-5414 / 91157", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5414, \"b\": 91157}", "seed": "11155590506534648904", "semantic_fingerprint": "sha256:002f0d55e74f6a549aa86ca41be194eae066c8894dd950a4579d8b5c029b335f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005166", "prompt": "Evaluate: 35119 - (-5253) * 32951 / 7422", "solution_steps": ["Multiply: -5253 * 32951 = -173091603", "Divide: -173091603 / 7422 = -57697201/2474", "Subtract: 35119 - (-57697201/2474) = 144581607/2474"], "final_answer": "144581607/2474", "answer_type": "rational", "kind": "expression", "math_text": "35119 - (-5253) * 32951 / 7422", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35119, \"b\": -5253, \"c\": 32951, \"d\": 7422}", "seed": "8172598424852333067", "semantic_fingerprint": "sha256:c32734cfb7402411a3aff32b52a115ceed138143e7c33d9e1ef069cb72d4d865", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005167", "prompt": "Evaluate: -9926 * (-7223) * 9310", "solution_steps": ["Multiply: -9926 * (-7223) = 71695498", "Multiply: 71695498 * 9310 = 667485086380"], "final_answer": "667485086380", "answer_type": "integer", "kind": "expression", "math_text": "-9926 * (-7223) * 9310", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9926, \"b\": -7223, \"c\": 9310}", "seed": "2362364076403432618", "semantic_fingerprint": "sha256:7791b10a07645e195f3d7706b918a37d745bc6663b222c378ec3044a39931d41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005168", "prompt": "What is 72265 + 47906 * (-33976)?", "solution_steps": ["Multiply: 47906 * (-33976) = -1627654256", "Add: 72265 + (-1627654256) = -1627581991"], "final_answer": "-1627581991", "answer_type": "integer", "kind": "expression", "math_text": "72265 + 47906 * (-33976)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72265, \"b\": 47906, \"c\": -33976}", "seed": "4060964596389297361", "semantic_fingerprint": "sha256:ea501e34d79d406ff16df084f945f0c6961a8282c4feb523dd78ed47da364f61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005169", "prompt": "Evaluate: (6756 - 7987) * 54791", "solution_steps": ["Subtract: 6756 - 7987 = -1231", "Multiply: -1231 * 54791 = -67447721"], "final_answer": "-67447721", "answer_type": "integer", "kind": "expression", "math_text": "(6756 - 7987) * 54791", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6756, \"b\": 7987, \"c\": 54791}", "seed": "15054660655156837409", "semantic_fingerprint": "sha256:f8a9bcff9edb7b7fc0e0e95ec87f6a251f5b540039d07fa9d2a8de16dce70e61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005170", "prompt": "What is (9305 - (-54623)) * (-34486)?", "solution_steps": ["Subtract: 9305 - (-54623) = 63928", "Multiply: 63928 * (-34486) = -2204621008"], "final_answer": "-2204621008", "answer_type": "integer", "kind": "expression", "math_text": "(9305 - (-54623)) * (-34486)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9305, \"b\": -54623, \"c\": -34486}", "seed": "3744864032941713853", "semantic_fingerprint": "sha256:88b10ff8d43d6e2b3e3cc279cfa1448e0f7c52e4f8468b1222995ae84e78bea0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005171", "prompt": "Compute: 8029 + (2162 / 4572 * (-51447) - 3292)", "solution_steps": ["Divide: 2162 / 4572 = 1081/2286", "Multiply: (1081/2286) * (-51447) = -18538069/762", "Subtract: -18538069/762 - 3292 = -21046573/762", "Add: 8029 + (-21046573/762) = -14928475/762"], "final_answer": "-14928475/762", "answer_type": "rational", "kind": "expression", "math_text": "8029 + (2162 / 4572 * (-51447) - 3292)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8029, \"b\": 2162, \"c\": 4572, \"d\": -51447, \"e\": 3292}", "seed": "16996222926672107640", "semantic_fingerprint": "sha256:496410ab02c794df3179fe9268bf1619793c8d898574bbc0f12e5287d26b85d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005172", "prompt": "Compute: -86932 - (-9038) * (7558 * (-6651))", "solution_steps": ["Multiply: 7558 * (-6651) = -50268258", "Multiply: -9038 * (-50268258) = 454324515804", "Subtract: -86932 - 454324515804 = -454324602736"], "final_answer": "-454324602736", "answer_type": "integer", "kind": "expression", "math_text": "-86932 - (-9038) * (7558 * (-6651))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86932, \"b\": -9038, \"c\": 7558, \"d\": -6651}", "seed": "18317548395242714551", "semantic_fingerprint": "sha256:6c3487a8d3154e08d454b0779268bc5f389b1d981ca0522b96212edab8401dac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005173", "prompt": "Evaluate: -99102 + 52020 * (18329 + (-9963)) * (9824 / 4758)", "solution_steps": ["Add: 18329 + (-9963) = 8366", "Multiply: 52020 * 8366 = 435199320", "Divide: 9824 / 4758 = 4912/2379", "Multiply: 435199320 * (4912/2379) = 712566353280/793", "Add: -99102 + 712566353280/793 = 712487765394/793"], "final_answer": "712487765394/793", "answer_type": "rational", "kind": "expression", "math_text": "-99102 + 52020 * (18329 + (-9963)) * (9824 / 4758)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -99102, \"b\": 52020, \"c\": 18329, \"d\": -9963, \"e\": 9824, \"f\": 4758}", "seed": "8639261384046694241", "semantic_fingerprint": "sha256:29ba35bc5dce5d4a752c513c2bcbc78cfbef1765b7db1a53e4436424e0437cb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005174", "prompt": "What is 7828 * (-2681)?", "solution_steps": ["Multiply: 7828 * (-2681) = -20986868"], "final_answer": "-20986868", "answer_type": "integer", "kind": "expression", "math_text": "7828 * (-2681)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7828, \"b\": -2681}", "seed": "7103564630120692337", "semantic_fingerprint": "sha256:f5c2d6cd434583a8d5dd26af00feb0a5cddfc231a5a3d95e9ef6ea38dd98c715", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005175", "prompt": "What is (20762 * 4524 - 6939) / (-52836 - 6791)?", "solution_steps": ["Multiply: 20762 * 4524 = 93927288", "Subtract: 93927288 - 6939 = 93920349", "Subtract: -52836 - 6791 = -59627", "Divide: 93920349 / (-59627) = -93920349/59627"], "final_answer": "-93920349/59627", "answer_type": "rational", "kind": "expression", "math_text": "(20762 * 4524 - 6939) / (-52836 - 6791)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20762, \"b\": 4524, \"c\": 6939, \"d\": -52836, \"e\": 6791}", "seed": "12124451866362799363", "semantic_fingerprint": "sha256:252ab81c2322a6d8bcbe365341e3c7c6fe51baaba7db51e506f644f82ecda3ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005176", "prompt": "Compute: 53603 + (-9771) * 5740 + (-9753) * (-78622)", "solution_steps": ["Multiply: -9771 * 5740 = -56085540", "Add: 53603 + (-56085540) = -56031937", "Multiply: -9753 * (-78622) = 766800366", "Add: -56031937 + 766800366 = 710768429"], "final_answer": "710768429", "answer_type": "integer", "kind": "expression", "math_text": "53603 + (-9771) * 5740 + (-9753) * (-78622)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 53603, \"b\": -9771, \"c\": 5740, \"d\": -9753, \"e\": -78622}", "seed": "7790173917507883663", "semantic_fingerprint": "sha256:2891951ddf827c65ae18022ce598a42212db5aab65cdbb045855d054660a38a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005177", "prompt": "Solve for x: x - 5504 = 25x - 4112", "solution_steps": ["Subtract 25x from both sides: -24x - 5504 = -4112", "Add 5504 to both sides: -24x = 1392", "Divide both sides by -24: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5504 = 25x - 4112", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5504, \"b\": 25, \"d\": -4112, \"x\": -58}", "seed": "13905733476540256590", "semantic_fingerprint": "sha256:5237df90b76b8c8f5b0971d081d870d522f2e421e9abdf99967bc6eb3c1fa284", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005178", "prompt": "Compute: 4588 / (-67258)", "solution_steps": ["Divide: 4588 / (-67258) = -2294/33629"], "final_answer": "-2294/33629", "answer_type": "rational", "kind": "expression", "math_text": "4588 / (-67258)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4588, \"b\": -67258}", "seed": "8019948466333902285", "semantic_fingerprint": "sha256:d6c6e0717c22a577c94aa1a2840fb2b1c391c11f247ae347bd0fa9d596182534", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005179", "prompt": "Solve the equation 20(x + 1007) + 6483 = 11834 for x.", "solution_steps": ["Expand: 20x + 20140 + 6483 = 11834", "Combine constants: 20x + 26623 = 11834", "Subtract 26623 from both sides: 20x = -14789", "Divide both sides by 20: x = -14789/20"], "final_answer": "-14789/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 1007) + 6483 = 11834", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1007, \"c\": 6483, \"d\": 11834}", "seed": "11448366209929638576", "semantic_fingerprint": "sha256:3192f948631cc150742bb9d506e5367148d605c429b67cafed3ea458d3e9e799", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005180", "prompt": "What value of x satisfies 21(x - 96474) = -23x?", "solution_steps": ["Expand: 21x - 2025954 = -23x", "Add 23x to both sides: 44x - 2025954 = 0", "Add 2025954 to both sides: 44x = 2025954", "Divide both sides by 44: x = 1012977/22"], "final_answer": "1012977/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 96474) = -23x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 96474, \"c\": -23}", "seed": "4628047606296878578", "semantic_fingerprint": "sha256:45302622122bd8d89dc4da05e29c3fba73c8d2fc122859a21f7d79127b8f872e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005181", "prompt": "Evaluate: -60329 - (-88437) - (-4196) * (-78172 - 27868)", "solution_steps": ["Subtract: -60329 - (-88437) = 28108", "Subtract: -78172 - 27868 = -106040", "Multiply: -4196 * (-106040) = 444943840", "Subtract: 28108 - 444943840 = -444915732"], "final_answer": "-444915732", "answer_type": "integer", "kind": "expression", "math_text": "-60329 - (-88437) - (-4196) * (-78172 - 27868)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -60329, \"b\": -88437, \"c\": -4196, \"d\": -78172, \"e\": 27868}", "seed": "6117812791082242909", "semantic_fingerprint": "sha256:9918881b5a15df28d8ea89e98ea0e6fc229faaae8754429663975045d93b3224", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005182", "prompt": "What is 5949 / (-99056 + (-22890 + 12865))?", "solution_steps": ["Add: -22890 + 12865 = -10025", "Add: -99056 + (-10025) = -109081", "Divide: 5949 / (-109081) = -5949/109081"], "final_answer": "-5949/109081", "answer_type": "rational", "kind": "expression", "math_text": "5949 / (-99056 + (-22890 + 12865))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5949, \"b\": -99056, \"c\": -22890, \"d\": 12865}", "seed": "4785375680023376909", "semantic_fingerprint": "sha256:a29ce5ebf6b50d52e85161066bb00bfe829cd553ff4a032e65f78b821791b109", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005183", "prompt": "Calculate: -6077 * (-20848 - (-83712)) + 4623", "solution_steps": ["Subtract: -20848 - (-83712) = 62864", "Multiply: -6077 * 62864 = -382024528", "Add: -382024528 + 4623 = -382019905"], "final_answer": "-382019905", "answer_type": "integer", "kind": "expression", "math_text": "-6077 * (-20848 - (-83712)) + 4623", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6077, \"b\": -20848, \"c\": -83712, \"d\": 4623}", "seed": "6836189826178982143", "semantic_fingerprint": "sha256:c7d48d614526b3d4e75928fcef3e849cee110f4053ee8ba21049c142fd275eab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005184", "prompt": "Find x: 20(x - 84899) = 28(x + 7505) + 46988", "solution_steps": ["Expand: 20x - 1697980 = 28(x + 7505) + 46988", "Expand: 20x - 1697980 = 28x + 210140 + 46988", "Combine constants: 20x - 1697980 = 28x + 257128", "Subtract 28x from both sides: -8x - 1697980 = 257128", "Add 1697980 to both sides: -8x = 1955108", "Divide both sides by -8: x = -488777/2"], "final_answer": "-488777/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 84899) = 28(x + 7505) + 46988", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 84899, \"c\": 28, \"d\": 7505, \"e\": 46988}", "seed": "12390718443508062507", "semantic_fingerprint": "sha256:ac17fdfd54548a82efa1983054851bd9a5f7282fb6dabc375e1ed05f0ab01a99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005185", "prompt": "Calculate: 36136 / (-4346) + 9633", "solution_steps": ["Divide: 36136 / (-4346) = -18068/2173", "Add: -18068/2173 + 9633 = 20914441/2173"], "final_answer": "20914441/2173", "answer_type": "rational", "kind": "expression", "math_text": "36136 / (-4346) + 9633", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36136, \"b\": -4346, \"c\": 9633}", "seed": "2158063157746552896", "semantic_fingerprint": "sha256:ca720b0adaecfd0df70f7e553f46e2ecfe3f9aa930a947e8143dabcf5935f524", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005186", "prompt": "Calculate: -4110 + (-9462)", "solution_steps": ["Add: -4110 + (-9462) = -13572"], "final_answer": "-13572", "answer_type": "integer", "kind": "expression", "math_text": "-4110 + (-9462)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4110, \"b\": -9462}", "seed": "6790004449035762586", "semantic_fingerprint": "sha256:b05ed3268d716edae6a86ddf2f89b68c1ab09fe16ff1fa529d30d27fc92849af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005187", "prompt": "Find x: 17(x + 5162) - 85418 = x", "solution_steps": ["Expand: 17x + 87754 - 85418 = x", "Combine constants: 17x + 2336 = x", "Subtract x from both sides: 16x + 2336 = 0", "Subtract 2336 from both sides: 16x = -2336", "Divide both sides by 16: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 5162) - 85418 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5162, \"d\": -85418, \"x\": -146}", "seed": "12729896574029135018", "semantic_fingerprint": "sha256:147d4ca4383ea0d28069230ba7a5a255410d67b3dd3907be2bbe53214fca6c1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005188", "prompt": "Solve for x: 36(x + 7229) + 9753 = x", "solution_steps": ["Expand: 36x + 260244 + 9753 = x", "Combine constants: 36x + 269997 = x", "Subtract x from both sides: 35x + 269997 = 0", "Subtract 269997 from both sides: 35x = -269997", "Divide both sides by 35: x = -38571/5"], "final_answer": "-38571/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 7229) + 9753 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 7229, \"c\": 9753}", "seed": "10490010030719486303", "semantic_fingerprint": "sha256:dcb04ad12bfcb70d6b24cc5010a963c5dc369b49822428f7f4a5ae93ccf6fe07", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005189", "prompt": "Evaluate: 6115 / (-65509)", "solution_steps": ["Divide: 6115 / (-65509) = -6115/65509"], "final_answer": "-6115/65509", "answer_type": "rational", "kind": "expression", "math_text": "6115 / (-65509)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6115, \"b\": -65509}", "seed": "18283523744244287571", "semantic_fingerprint": "sha256:60e9a7293ed511bcbdf2dde17eca297b72923d4bafa93fd49a7461ca4ea735ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005190", "prompt": "Find x: -29(x - 3607) - 4995 = x", "solution_steps": ["Expand: -29x + 104603 - 4995 = x", "Combine constants: -29x + 99608 = x", "Subtract x from both sides: -30x + 99608 = 0", "Subtract 99608 from both sides: -30x = -99608", "Divide both sides by -30: x = 49804/15"], "final_answer": "49804/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 3607) - 4995 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 3607, \"c\": 4995}", "seed": "10087653746606550702", "semantic_fingerprint": "sha256:2aea7c00e9ed793119fbfe2002b307b6174198d158149176abaf75058b925733", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005191", "prompt": "What value of x satisfies 14x + 9507 = -30x?", "solution_steps": ["Add 30x to both sides: 44x + 9507 = 0", "Subtract 9507 from both sides: 44x = -9507", "Divide both sides by 44: x = -9507/44"], "final_answer": "-9507/44", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x + 9507 = -30x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 9507, \"c\": -30}", "seed": "14531169139784936766", "semantic_fingerprint": "sha256:975ce1e900477ad4ed82afac5492a16b5618ad1265f209b1323e31182bee8779", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005192", "prompt": "What value of x satisfies -32(x + 57989) = x?", "solution_steps": ["Expand: -32x - 1855648 = x", "Subtract x from both sides: -33x - 1855648 = 0", "Add 1855648 to both sides: -33x = 1855648", "Divide both sides by -33: x = -1855648/33"], "final_answer": "-1855648/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x + 57989) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 57989}", "seed": "793537389213621758", "semantic_fingerprint": "sha256:4d64a747b42d046ea0f4795dc05019ec198a07ffc01a3511100481c4c8694ac8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005193", "prompt": "What is 4235 * 6905 / (-1024)?", "solution_steps": ["Multiply: 4235 * 6905 = 29242675", "Divide: 29242675 / (-1024) = -29242675/1024"], "final_answer": "-29242675/1024", "answer_type": "rational", "kind": "expression", "math_text": "4235 * 6905 / (-1024)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4235, \"b\": 6905, \"c\": -1024}", "seed": "11933325929011673106", "semantic_fingerprint": "sha256:8b189a783a5eb00f2bc77c0be8b2317260864de67b5bca75b6876259c66819dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005194", "prompt": "Evaluate: 1390 - 4844 - (-6552) - (-91344) * 9740", "solution_steps": ["Subtract: 1390 - 4844 = -3454", "Subtract: -3454 - (-6552) = 3098", "Multiply: -91344 * 9740 = -889690560", "Subtract: 3098 - (-889690560) = 889693658"], "final_answer": "889693658", "answer_type": "integer", "kind": "expression", "math_text": "1390 - 4844 - (-6552) - (-91344) * 9740", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1390, \"b\": 4844, \"c\": -6552, \"d\": -91344, \"e\": 9740}", "seed": "17880399985020614013", "semantic_fingerprint": "sha256:3f7fd5823471c7e0f5dbd7c9caa71ee9b2d1c8a8035744d5a0d98e5901678286", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005195", "prompt": "Solve for x: x - 2573 = -37(x + 8915) + 55436", "solution_steps": ["Expand: x - 2573 = -37x - 329855 + 55436", "Combine constants: x - 2573 = -37x - 274419", "Add 37x to both sides: 38x - 2573 = -274419", "Add 2573 to both sides: 38x = -271846", "Divide both sides by 38: x = -135923/19"], "final_answer": "-135923/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2573 = -37(x + 8915) + 55436", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2573, \"b\": -37, \"c\": 8915, \"d\": 55436}", "seed": "10987182918201744532", "semantic_fingerprint": "sha256:3c12a2ef49f0cae899bafbba8155a640ac3f5c3f86e4fa201e1041ce1d141a3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005196", "prompt": "Solve for x: -25(x - 4076) + 29514 = -22(x + 7484) + 7398", "solution_steps": ["Expand: -25x + 101900 + 29514 = -22(x + 7484) + 7398", "Expand: -25x + 101900 + 29514 = -22x - 164648 + 7398", "Combine constants: -25x + 131414 = -22x - 164648 + 7398", "Combine constants: -25x + 131414 = -22x - 157250", "Add 22x to both sides: -3x + 131414 = -157250", "Subtract 131414 from both sides: -3x = -288664", "Divide both sides by -3: x = 288664/3"], "final_answer": "288664/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 4076) + 29514 = -22(x + 7484) + 7398", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 4076, \"c\": 29514, \"d\": -22, \"e\": 7484, \"f\": 7398}", "seed": "15800496488843006", "semantic_fingerprint": "sha256:feb4a86c99309b78fdb70cd2c39ca628f504e7d45c68e78519e6e7f65ad3423b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005197", "prompt": "Solve the equation 19x = 35(x + 9918) for x.", "solution_steps": ["Expand: 19x = 35x + 347130", "Subtract 35x from both sides: -16x = 347130", "Divide both sides by -16: x = -173565/8"], "final_answer": "-173565/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = 35(x + 9918)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 35, \"c\": 9918}", "seed": "15660661782717152401", "semantic_fingerprint": "sha256:7bd64cef13527ff1e4396ba9dcdf31fc067f9bbdfc89f8b6177f5349564f717f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005198", "prompt": "Compute: -61849 / (95253 - (-1765)) + (83896 + (-92762) - 7154)", "solution_steps": ["Subtract: 95253 - (-1765) = 97018", "Divide: -61849 / 97018 = -61849/97018", "Add: 83896 + (-92762) = -8866", "Subtract: -8866 - 7154 = -16020", "Add: -61849/97018 + (-16020) = -1554290209/97018"], "final_answer": "-1554290209/97018", "answer_type": "rational", "kind": "expression", "math_text": "-61849 / (95253 - (-1765)) + (83896 + (-92762) - 7154)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -61849, \"b\": 95253, \"c\": -1765, \"d\": 83896, \"e\": -92762, \"f\": 7154}", "seed": "8473425234455862852", "semantic_fingerprint": "sha256:2b47a3ed53c4712906d5ebe27b5d23e9504825c4148a6721e2159e4899ae115f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005199", "prompt": "Find x: x = 14(x - 70070)", "solution_steps": ["Expand: x = 14x - 980980", "Subtract 14x from both sides: -13x = -980980", "Divide both sides by -13: x = 75460"], "final_answer": "75460", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14(x - 70070)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 70070}", "seed": "17970503813064007907", "semantic_fingerprint": "sha256:a9db08c3fee3d7599d6dcc3a9d06ce09606bc5d9a3b2e3c3d869327c03c7867e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005200", "prompt": "Compute: 5119 - 65056", "solution_steps": ["Subtract: 5119 - 65056 = -59937"], "final_answer": "-59937", "answer_type": "integer", "kind": "expression", "math_text": "5119 - 65056", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5119, \"b\": 65056}", "seed": "1350026133060880561", "semantic_fingerprint": "sha256:37a8bfa8b074b9e67001973cc86457e3cfd4d81ea30ca3b6f112051f51cd0859", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005201", "prompt": "Solve the equation 32(x + 1900) - 6819 = 13x + 53126 for x.", "solution_steps": ["Expand: 32x + 60800 - 6819 = 13x + 53126", "Combine constants: 32x + 53981 = 13x + 53126", "Subtract 13x from both sides: 19x + 53981 = 53126", "Subtract 53981 from both sides: 19x = -855", "Divide both sides by 19: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x + 1900) - 6819 = 13x + 53126", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1900, \"c\": 6819, \"d\": 13, \"f\": 53126, \"x\": -45}", "seed": "18435610268444609734", "semantic_fingerprint": "sha256:52e705b6a36b2555cb1f6808c2eca1c0e3c27cdbb80a190a739b7d6dd1a282b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005202", "prompt": "Compute: -7475 * (-77884 - 2788)", "solution_steps": ["Subtract: -77884 - 2788 = -80672", "Multiply: -7475 * (-80672) = 603023200"], "final_answer": "603023200", "answer_type": "integer", "kind": "expression", "math_text": "-7475 * (-77884 - 2788)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7475, \"b\": -77884, \"c\": 2788}", "seed": "9113924082599284236", "semantic_fingerprint": "sha256:4fcde8c1c414a0b0190f5f0b9e70443e711d78b0ec68cac1fe208af2b7b3cda5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005203", "prompt": "Compute: -7870 + (4202 + 7414)", "solution_steps": ["Add: 4202 + 7414 = 11616", "Add: -7870 + 11616 = 3746"], "final_answer": "3746", "answer_type": "integer", "kind": "expression", "math_text": "-7870 + (4202 + 7414)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7870, \"b\": 4202, \"c\": 7414}", "seed": "5196054008197403218", "semantic_fingerprint": "sha256:2c7a74d31ae7ec32c3f4cfa130522f8350134ffce41851102a343ced652343fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005204", "prompt": "Evaluate: -65198 + (-54559)", "solution_steps": ["Add: -65198 + (-54559) = -119757"], "final_answer": "-119757", "answer_type": "integer", "kind": "expression", "math_text": "-65198 + (-54559)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -65198, \"b\": -54559}", "seed": "9554978559859569078", "semantic_fingerprint": "sha256:78c34d11c5c229712ba8056eaa0154841499efa7b2928c81e7b8dd8c094619d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005205", "prompt": "What is 7999 / (-37347)?", "solution_steps": ["Divide: 7999 / (-37347) = -7999/37347"], "final_answer": "-7999/37347", "answer_type": "rational", "kind": "expression", "math_text": "7999 / (-37347)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7999, \"b\": -37347}", "seed": "11829671881261423479", "semantic_fingerprint": "sha256:68c4e8d233f366e4345800dd20ea012d4726f3bc15ea57fac3018f06d5fc8e18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005206", "prompt": "Calculate: -8858 / (-23787) * 74871 - (-99471)", "solution_steps": ["Divide: -8858 / (-23787) = 8858/23787", "Multiply: (8858/23787) * 74871 = 24563234/881", "Subtract: 24563234/881 - (-99471) = 112197185/881"], "final_answer": "112197185/881", "answer_type": "rational", "kind": "expression", "math_text": "-8858 / (-23787) * 74871 - (-99471)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8858, \"b\": -23787, \"c\": 74871, \"d\": -99471}", "seed": "8621179281466844913", "semantic_fingerprint": "sha256:77e4fa89c341852337b03359f8cd4a7586cf96c0444e529c6767dd017cb74f65", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005207", "prompt": "Calculate: -9023 + (-9710) + (33214 - 2856)", "solution_steps": ["Add: -9023 + (-9710) = -18733", "Subtract: 33214 - 2856 = 30358", "Add: -18733 + 30358 = 11625"], "final_answer": "11625", "answer_type": "integer", "kind": "expression", "math_text": "-9023 + (-9710) + (33214 - 2856)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9023, \"b\": -9710, \"c\": 33214, \"d\": 2856}", "seed": "2824761492599723074", "semantic_fingerprint": "sha256:4922ad4148d8d92fb901ce362bbb0ab9c5c966057fed96d81c27cce24df33d3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005208", "prompt": "What value of x satisfies 19(x + 41176) - 37524 = 36x?", "solution_steps": ["Expand: 19x + 782344 - 37524 = 36x", "Combine constants: 19x + 744820 = 36x", "Subtract 36x from both sides: -17x + 744820 = 0", "Subtract 744820 from both sides: -17x = -744820", "Divide both sides by -17: x = 744820/17"], "final_answer": "744820/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 41176) - 37524 = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 41176, \"c\": 37524, \"d\": 36}", "seed": "11730193759431292400", "semantic_fingerprint": "sha256:9f093a43aadd8f24ead65a02bdf7e38c06990ce1a99e75d63c0f977265d31ca2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005209", "prompt": "What is 34331 / 7118?", "solution_steps": ["Divide: 34331 / 7118 = 34331/7118"], "final_answer": "34331/7118", "answer_type": "rational", "kind": "expression", "math_text": "34331 / 7118", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34331, \"b\": 7118}", "seed": "2457450071964088605", "semantic_fingerprint": "sha256:6bf60ff5d98954a104b7ac6a2ea434dfdddc05143dca57538386532b25e650a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005210", "prompt": "Calculate: 10579 + 25220", "solution_steps": ["Add: 10579 + 25220 = 35799"], "final_answer": "35799", "answer_type": "integer", "kind": "expression", "math_text": "10579 + 25220", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 10579, \"b\": 25220}", "seed": "518289460608617814", "semantic_fingerprint": "sha256:31e9616edacf483d8fecb04a029c556a1c0572fc16b751c46e94395677e92b89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005211", "prompt": "Solve for x: -25x = 23x + 9456", "solution_steps": ["Subtract 23x from both sides: -48x = 9456", "Divide both sides by -48: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x = 23x + 9456", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 23, \"d\": 9456, \"x\": -197}", "seed": "14887801829758559880", "semantic_fingerprint": "sha256:aaffef1b409d3d77390e88156a687d66a268734c61e8bd7b1187c769c4a7197c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005212", "prompt": "Evaluate: (-6188 - (-9895) * (-4871)) / (-20238 - (-2245 - 4717))", "solution_steps": ["Multiply: -9895 * (-4871) = 48198545", "Subtract: -6188 - 48198545 = -48204733", "Subtract: -2245 - 4717 = -6962", "Subtract: -20238 - (-6962) = -13276", "Divide: -48204733 / (-13276) = 48204733/13276"], "final_answer": "48204733/13276", "answer_type": "rational", "kind": "expression", "math_text": "(-6188 - (-9895) * (-4871)) / (-20238 - (-2245 - 4717))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6188, \"b\": -9895, \"c\": -4871, \"d\": -20238, \"e\": -2245, \"f\": 4717}", "seed": "2824960765688825684", "semantic_fingerprint": "sha256:40a836e49905ec7d7537cfd0959f21ca88709da9678a28fe44953eea3053ca3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005213", "prompt": "What is 2800 * (-5602) - 56273?", "solution_steps": ["Multiply: 2800 * (-5602) = -15685600", "Subtract: -15685600 - 56273 = -15741873"], "final_answer": "-15741873", "answer_type": "integer", "kind": "expression", "math_text": "2800 * (-5602) - 56273", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2800, \"b\": -5602, \"c\": 56273}", "seed": "16640328933922893854", "semantic_fingerprint": "sha256:9c43f315932d20c2cd29e24d34b8205c66cd822cd2dd0b1c8b3dee91b44a6ee9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005214", "prompt": "What is (6972 + (-75662)) / (-38533 - 52934)?", "solution_steps": ["Add: 6972 + (-75662) = -68690", "Subtract: -38533 - 52934 = -91467", "Divide: -68690 / (-91467) = 68690/91467"], "final_answer": "68690/91467", "answer_type": "rational", "kind": "expression", "math_text": "(6972 + (-75662)) / (-38533 - 52934)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6972, \"b\": -75662, \"c\": -38533, \"d\": 52934}", "seed": "13419447753785353942", "semantic_fingerprint": "sha256:441ac7eba3ba11f08592851d6d6d85eefc3b3f4b1f4f48518ea6b787bb366352", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005215", "prompt": "Evaluate: (5127 + (-66517)) / 79795", "solution_steps": ["Add: 5127 + (-66517) = -61390", "Divide: -61390 / 79795 = -12278/15959"], "final_answer": "-12278/15959", "answer_type": "rational", "kind": "expression", "math_text": "(5127 + (-66517)) / 79795", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5127, \"b\": -66517, \"c\": 79795}", "seed": "745885627785448057", "semantic_fingerprint": "sha256:f33a515779551d6f6f6cd5e34826db5d8c44869a1424a0bd96cb0bd0e7f334d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005216", "prompt": "What is 8649 / 5071 + (-39116)?", "solution_steps": ["Divide: 8649 / 5071 = 8649/5071", "Add: 8649/5071 + (-39116) = -198348587/5071"], "final_answer": "-198348587/5071", "answer_type": "rational", "kind": "expression", "math_text": "8649 / 5071 + (-39116)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8649, \"b\": 5071, \"c\": -39116}", "seed": "1387358748233866956", "semantic_fingerprint": "sha256:a0b02309b3b0b0585157e7b32e9e85578bf515d0b48ffa06ed5b2d0aa62331a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005217", "prompt": "What is 1670 + 2048?", "solution_steps": ["Add: 1670 + 2048 = 3718"], "final_answer": "3718", "answer_type": "integer", "kind": "expression", "math_text": "1670 + 2048", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1670, \"b\": 2048}", "seed": "9385806292163421347", "semantic_fingerprint": "sha256:bf3ed4879add15b493d25b4a01ba065db2bb37a5c710bbe1045d7f2a304732ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005218", "prompt": "Evaluate: -9477 - 6505 + (60817 + (-46698))", "solution_steps": ["Subtract: -9477 - 6505 = -15982", "Add: 60817 + (-46698) = 14119", "Add: -15982 + 14119 = -1863"], "final_answer": "-1863", "answer_type": "integer", "kind": "expression", "math_text": "-9477 - 6505 + (60817 + (-46698))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9477, \"b\": 6505, \"c\": 60817, \"d\": -46698}", "seed": "15910395252687694487", "semantic_fingerprint": "sha256:e56f196d86f63b7d6b4fb9232c63c3a01bab5dfda6839933a63e01c0111ba6a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005219", "prompt": "Find x: 23(x + 54764) = 33(x + 8216)", "solution_steps": ["Expand: 23x + 1259572 = 33(x + 8216)", "Expand: 23x + 1259572 = 33x + 271128", "Subtract 33x from both sides: -10x + 1259572 = 271128", "Subtract 1259572 from both sides: -10x = -988444", "Divide both sides by -10: x = 494222/5"], "final_answer": "494222/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 54764) = 33(x + 8216)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 54764, \"c\": 33, \"d\": 8216}", "seed": "7267299082886457473", "semantic_fingerprint": "sha256:e05822a829698d4e9bc8643864be1e43ff5b1cd1f0e45aa8ffa1f74624f8c5c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005220", "prompt": "Find x: 15(x + 5755) = 85275", "solution_steps": ["Expand: 15x + 86325 = 85275", "Subtract 86325 from both sides: 15x = -1050", "Divide both sides by 15: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 5755) = 85275", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 5755, \"d\": 85275, \"x\": -70}", "seed": "11847040958057200606", "semantic_fingerprint": "sha256:691a6d476c0ab641b568b00fde48194f3a4445522b06a1a9f5579a60698e48fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005221", "prompt": "Solve the equation x + 1419 = 16(x - 3676) for x.", "solution_steps": ["Expand: x + 1419 = 16x - 58816", "Subtract 16x from both sides: -15x + 1419 = -58816", "Subtract 1419 from both sides: -15x = -60235", "Divide both sides by -15: x = 12047/3"], "final_answer": "12047/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1419 = 16(x - 3676)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1419, \"b\": 16, \"c\": 3676}", "seed": "17177910925743945535", "semantic_fingerprint": "sha256:2aee93373e3a65d743b94a57d9bf85d7025f190470c682a18616fd54f92eeb96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005222", "prompt": "Evaluate: 9704 * 6874", "solution_steps": ["Multiply: 9704 * 6874 = 66705296"], "final_answer": "66705296", "answer_type": "integer", "kind": "expression", "math_text": "9704 * 6874", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9704, \"b\": 6874}", "seed": "1708422574115926525", "semantic_fingerprint": "sha256:54ef7628d0226c4c8f498fff1b379fcf7998ff19b4411c13ef1da20dcbf7f4bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005223", "prompt": "What is -9713 / 4614 + 6505?", "solution_steps": ["Divide: -9713 / 4614 = -9713/4614", "Add: -9713/4614 + 6505 = 30004357/4614"], "final_answer": "30004357/4614", "answer_type": "rational", "kind": "expression", "math_text": "-9713 / 4614 + 6505", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9713, \"b\": 4614, \"c\": 6505}", "seed": "5578663255524975248", "semantic_fingerprint": "sha256:73bb45e7edaca89114d1082ee07456dc1543cd500d7cc65e495cebd4135edb33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005224", "prompt": "Solve the equation 18x - 87349 = 15(x - 6767) + 13574 for x.", "solution_steps": ["Expand: 18x - 87349 = 15x - 101505 + 13574", "Combine constants: 18x - 87349 = 15x - 87931", "Subtract 15x from both sides: 3x - 87349 = -87931", "Add 87349 to both sides: 3x = -582", "Divide both sides by 3: x = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x - 87349 = 15(x - 6767) + 13574", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 87349, \"c\": 15, \"d\": 6767, \"f\": 13574, \"x\": -194}", "seed": "15074424838870358555", "semantic_fingerprint": "sha256:33c666c8bbfbf04ae11d76e3ad4529a7be006f1fc2af619cc9ff466bd2ae995c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005225", "prompt": "Calculate: 92116 / 2280", "solution_steps": ["Divide: 92116 / 2280 = 23029/570"], "final_answer": "23029/570", "answer_type": "rational", "kind": "expression", "math_text": "92116 / 2280", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 92116, \"b\": 2280}", "seed": "11004856235990791246", "semantic_fingerprint": "sha256:fd5828c807ee6466cd28aaa4954547226073a5ab180ba0752a8d65db1b801c39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005226", "prompt": "Solve for x: x - 1419 = 32x - 36753", "solution_steps": ["Subtract 32x from both sides: -31x - 1419 = -36753", "Add 1419 to both sides: -31x = -35334", "Divide both sides by -31: x = 35334/31"], "final_answer": "35334/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1419 = 32x - 36753", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1419, \"b\": 32, \"c\": 36753}", "seed": "5152833123034757938", "semantic_fingerprint": "sha256:dd0c4ca6729d69dbad461296b6f33b499301d6b4166980df0b037217888b7221", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005227", "prompt": "Evaluate: 2372 - (-3009) - 62320", "solution_steps": ["Subtract: 2372 - (-3009) = 5381", "Subtract: 5381 - 62320 = -56939"], "final_answer": "-56939", "answer_type": "integer", "kind": "expression", "math_text": "2372 - (-3009) - 62320", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2372, \"b\": -3009, \"c\": 62320}", "seed": "1610876527087831898", "semantic_fingerprint": "sha256:3f8929cf0ef6ac5a1b797886903da01ebb933a4aca58e7e40fb4b27100afcbd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005228", "prompt": "Compute: 3299 / 9384", "solution_steps": ["Divide: 3299 / 9384 = 3299/9384"], "final_answer": "3299/9384", "answer_type": "rational", "kind": "expression", "math_text": "3299 / 9384", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3299, \"b\": 9384}", "seed": "9132772254301707140", "semantic_fingerprint": "sha256:574fccacd49c8f657af3e386563e0437fbc0a1d19b468bca9d50b8ee97a32df3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005229", "prompt": "What value of x satisfies 24x - 28371 = x + 7990?", "solution_steps": ["Subtract x from both sides: 23x - 28371 = 7990", "Add 28371 to both sides: 23x = 36361", "Divide both sides by 23: x = 36361/23"], "final_answer": "36361/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x - 28371 = x + 7990", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 28371, \"c\": 7990}", "seed": "14318687676504064809", "semantic_fingerprint": "sha256:c4cbf07fc7418cbf677cb1fe44b6f1de928cb199dfade264c66d882d9e45f787", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005230", "prompt": "What is -55573 * (-8484) + 11144?", "solution_steps": ["Multiply: -55573 * (-8484) = 471481332", "Add: 471481332 + 11144 = 471492476"], "final_answer": "471492476", "answer_type": "integer", "kind": "expression", "math_text": "-55573 * (-8484) + 11144", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -55573, \"b\": -8484, \"c\": 11144}", "seed": "1060958734780342205", "semantic_fingerprint": "sha256:1ee0ce3b427f11f368dec23cbcd8731de48827375baf2a51c90e215a28c79a9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005231", "prompt": "What is -1559 / 85960 * 4228?", "solution_steps": ["Divide: -1559 / 85960 = -1559/85960", "Multiply: (-1559/85960) * 4228 = -235409/3070"], "final_answer": "-235409/3070", "answer_type": "rational", "kind": "expression", "math_text": "-1559 / 85960 * 4228", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1559, \"b\": 85960, \"c\": 4228}", "seed": "14064106000066034330", "semantic_fingerprint": "sha256:b5a0c843922b71043594e59be9e32c502ddcd369827f999861d469e8211f1bea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005232", "prompt": "Compute: -72686 * (-7095 / (-99439))", "solution_steps": ["Divide: -7095 / (-99439) = 7095/99439", "Multiply: -72686 * (7095/99439) = -515707170/99439"], "final_answer": "-515707170/99439", "answer_type": "rational", "kind": "expression", "math_text": "-72686 * (-7095 / (-99439))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72686, \"b\": -7095, \"c\": -99439}", "seed": "16376915560275882777", "semantic_fingerprint": "sha256:620cfc982d48ebac5e6f952a5532d51f7e2bf4a031096874e0faaf71e45abdd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005233", "prompt": "Calculate: 54522 / (-11098 + 44279)", "solution_steps": ["Add: -11098 + 44279 = 33181", "Divide: 54522 / 33181 = 54522/33181"], "final_answer": "54522/33181", "answer_type": "rational", "kind": "expression", "math_text": "54522 / (-11098 + 44279)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54522, \"b\": -11098, \"c\": 44279}", "seed": "17888384415798783254", "semantic_fingerprint": "sha256:a01ef85de7892fa65e3af5533a278faef13d37b4b3acc893aea3d62565984345", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005234", "prompt": "What is 32607 / (-71077 - 7589)?", "solution_steps": ["Subtract: -71077 - 7589 = -78666", "Divide: 32607 / (-78666) = -10869/26222"], "final_answer": "-10869/26222", "answer_type": "rational", "kind": "expression", "math_text": "32607 / (-71077 - 7589)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32607, \"b\": -71077, \"c\": 7589}", "seed": "3473166800755583826", "semantic_fingerprint": "sha256:7c23dadb1b539e0a30322fa660131b0380be38c3c8cc5a6c218b69a708b3f464", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005235", "prompt": "What is -96905 / (7896 / 9604 + 2097)?", "solution_steps": ["Divide: 7896 / 9604 = 282/343", "Add: 282/343 + 2097 = 719553/343", "Divide: -96905 / (719553/343) = -33238415/719553"], "final_answer": "-33238415/719553", "answer_type": "rational", "kind": "expression", "math_text": "-96905 / (7896 / 9604 + 2097)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -96905, \"b\": 7896, \"c\": 9604, \"d\": 2097}", "seed": "8694761938429465583", "semantic_fingerprint": "sha256:1f14d8c6cdee34a52a26482344a3fd63eb8152ad3be7895ec5dc06b88d07dfc2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005236", "prompt": "Compute: 13572 + (7461 + 18269) + (-37512) * (-9156 - 6910)", "solution_steps": ["Add: 7461 + 18269 = 25730", "Add: 13572 + 25730 = 39302", "Subtract: -9156 - 6910 = -16066", "Multiply: -37512 * (-16066) = 602667792", "Add: 39302 + 602667792 = 602707094"], "final_answer": "602707094", "answer_type": "integer", "kind": "expression", "math_text": "13572 + (7461 + 18269) + (-37512) * (-9156 - 6910)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13572, \"b\": 7461, \"c\": 18269, \"d\": -37512, \"e\": -9156, \"f\": 6910}", "seed": "9403274980092871842", "semantic_fingerprint": "sha256:114146565a7311f6f260e65bbc766d9b643a0347b7986ba27da359e6a06cb82e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005237", "prompt": "Calculate: (9188 + (-2699) - (9047 + (-3851))) / 3823", "solution_steps": ["Add: 9188 + (-2699) = 6489", "Add: 9047 + (-3851) = 5196", "Subtract: 6489 - 5196 = 1293", "Divide: 1293 / 3823 = 1293/3823"], "final_answer": "1293/3823", "answer_type": "rational", "kind": "expression", "math_text": "(9188 + (-2699) - (9047 + (-3851))) / 3823", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9188, \"b\": -2699, \"c\": 9047, \"d\": -3851, \"e\": 3823}", "seed": "5941722889991043870", "semantic_fingerprint": "sha256:6102f18920b32135f73168a8890ec010758f724b75e65305ed2ec74a2a0af0f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005238", "prompt": "Compute: 66192 / 98768 - (6281 - (-80262))", "solution_steps": ["Divide: 66192 / 98768 = 4137/6173", "Subtract: 6281 - (-80262) = 86543", "Subtract: 4137/6173 - 86543 = -534225802/6173"], "final_answer": "-534225802/6173", "answer_type": "rational", "kind": "expression", "math_text": "66192 / 98768 - (6281 - (-80262))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 66192, \"b\": 98768, \"c\": 6281, \"d\": -80262}", "seed": "9348863421316021096", "semantic_fingerprint": "sha256:bb8e9f06ac177b6e060fe20b9388e0c6d70288168adbe8fa84ba252c5f9dc650", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005239", "prompt": "Compute: -84795 * (-9236) + 2343 - (-14310) * 37852", "solution_steps": ["Multiply: -84795 * (-9236) = 783166620", "Add: 783166620 + 2343 = 783168963", "Multiply: -14310 * 37852 = -541662120", "Subtract: 783168963 - (-541662120) = 1324831083"], "final_answer": "1324831083", "answer_type": "integer", "kind": "expression", "math_text": "-84795 * (-9236) + 2343 - (-14310) * 37852", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -84795, \"b\": -9236, \"c\": 2343, \"d\": -14310, \"e\": 37852}", "seed": "15256776171479113821", "semantic_fingerprint": "sha256:137c5e659ee90036af8a19e5da420d6d37827c1bdda27a34b37ac9302231af3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005240", "prompt": "Calculate: -46918 * (11358 / (-96043))", "solution_steps": ["Divide: 11358 / (-96043) = -11358/96043", "Multiply: -46918 * (-11358/96043) = 532894644/96043"], "final_answer": "532894644/96043", "answer_type": "rational", "kind": "expression", "math_text": "-46918 * (11358 / (-96043))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46918, \"b\": 11358, \"c\": -96043}", "seed": "14820476845073754881", "semantic_fingerprint": "sha256:e2324cdafeb944610b24b94574482ffcc88adf2bf085c977208a1332f2a2aaaf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005241", "prompt": "Calculate: 7495 - (-5672) - 2373", "solution_steps": ["Subtract: 7495 - (-5672) = 13167", "Subtract: 13167 - 2373 = 10794"], "final_answer": "10794", "answer_type": "integer", "kind": "expression", "math_text": "7495 - (-5672) - 2373", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7495, \"b\": -5672, \"c\": 2373}", "seed": "5442620042884224243", "semantic_fingerprint": "sha256:8f59915752f27970fb46acd905edfbcd8b532422ddd80593f03dad6acf7700a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005242", "prompt": "What is -5399 * (-2286 * (-68962) + 6576)?", "solution_steps": ["Multiply: -2286 * (-68962) = 157647132", "Add: 157647132 + 6576 = 157653708", "Multiply: -5399 * 157653708 = -851172369492"], "final_answer": "-851172369492", "answer_type": "integer", "kind": "expression", "math_text": "-5399 * (-2286 * (-68962) + 6576)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5399, \"b\": -2286, \"c\": -68962, \"d\": 6576}", "seed": "10737049040062111816", "semantic_fingerprint": "sha256:a4e462fb41b55bed07a47d819b3959037bec0e1ef4505a27588f52c77cd78c78", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005243", "prompt": "Compute: -11460 * (-34871 - (-53483)) - 4293", "solution_steps": ["Subtract: -34871 - (-53483) = 18612", "Multiply: -11460 * 18612 = -213293520", "Subtract: -213293520 - 4293 = -213297813"], "final_answer": "-213297813", "answer_type": "integer", "kind": "expression", "math_text": "-11460 * (-34871 - (-53483)) - 4293", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -11460, \"b\": -34871, \"c\": -53483, \"d\": 4293}", "seed": "5095847843215997971", "semantic_fingerprint": "sha256:96526d8f2031e6095693bf361433757042126b1cb0b8101487fa3217cbf8793f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005244", "prompt": "Calculate: 19601 + 7963", "solution_steps": ["Add: 19601 + 7963 = 27564"], "final_answer": "27564", "answer_type": "integer", "kind": "expression", "math_text": "19601 + 7963", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 19601, \"b\": 7963}", "seed": "1465796600720177630", "semantic_fingerprint": "sha256:ff8a66af905490de4b52f4f5f35b37c285fc43f6c2642d9c35405eb331e33225", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005245", "prompt": "Solve the equation 28(x + 1961) - 9886 = 38(x + 1787) + 55391 for x.", "solution_steps": ["Expand: 28x + 54908 - 9886 = 38(x + 1787) + 55391", "Expand: 28x + 54908 - 9886 = 38x + 67906 + 55391", "Combine constants: 28x + 45022 = 38x + 67906 + 55391", "Combine constants: 28x + 45022 = 38x + 123297", "Subtract 38x from both sides: -10x + 45022 = 123297", "Subtract 45022 from both sides: -10x = 78275", "Divide both sides by -10: x = -15655/2"], "final_answer": "-15655/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 1961) - 9886 = 38(x + 1787) + 55391", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1961, \"c\": 9886, \"d\": 38, \"e\": 1787, \"f\": 55391}", "seed": "15190123007048482888", "semantic_fingerprint": "sha256:9188326e3772cdbceedf32fcda08b4400e1e36bb2a703ff0659bfb36882730eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005246", "prompt": "Find x: 28(x - 89598) = x", "solution_steps": ["Expand: 28x - 2508744 = x", "Subtract x from both sides: 27x - 2508744 = 0", "Add 2508744 to both sides: 27x = 2508744", "Divide both sides by 27: x = 836248/9"], "final_answer": "836248/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 89598) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 89598}", "seed": "17426118650396256165", "semantic_fingerprint": "sha256:bd77fc6c56eda6c7caa2f51cd8dfef5cdda2e0984f5aabf663583869fcc8cea2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005247", "prompt": "Solve the equation x + 2290 = 30x - 4312 for x.", "solution_steps": ["Subtract 30x from both sides: -29x + 2290 = -4312", "Subtract 2290 from both sides: -29x = -6602", "Divide both sides by -29: x = 6602/29"], "final_answer": "6602/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2290 = 30x - 4312", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2290, \"b\": 30, \"c\": 4312}", "seed": "1696231326661539193", "semantic_fingerprint": "sha256:2f2358d45554e7c34041c705d6c4f0b3294e9c42f48b6757fa7048ab0dd1ed2c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005248", "prompt": "What is (-1073 - 15674 + 84522) / (2206 + (-12780))?", "solution_steps": ["Subtract: -1073 - 15674 = -16747", "Add: -16747 + 84522 = 67775", "Add: 2206 + (-12780) = -10574", "Divide: 67775 / (-10574) = -67775/10574"], "final_answer": "-67775/10574", "answer_type": "rational", "kind": "expression", "math_text": "(-1073 - 15674 + 84522) / (2206 + (-12780))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1073, \"b\": 15674, \"c\": 84522, \"d\": 2206, \"e\": -12780}", "seed": "8763772591896482894", "semantic_fingerprint": "sha256:46c0a2703b96490f3f6a78e6f529f0645a09dd6835a9fe8e54d0c6129f33b4b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005249", "prompt": "Evaluate: (8350 + (-1685)) * (93851 - 17829)", "solution_steps": ["Add: 8350 + (-1685) = 6665", "Subtract: 93851 - 17829 = 76022", "Multiply: 6665 * 76022 = 506686630"], "final_answer": "506686630", "answer_type": "integer", "kind": "expression", "math_text": "(8350 + (-1685)) * (93851 - 17829)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8350, \"b\": -1685, \"c\": 93851, \"d\": 17829}", "seed": "16825360828230942552", "semantic_fingerprint": "sha256:81a9efd91cef7e1c5093c50bc6244f942c1386761cc14831af5d89d0d789cf4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005250", "prompt": "Evaluate: -45794 - (-4375) / 9652", "solution_steps": ["Divide: -4375 / 9652 = -4375/9652", "Subtract: -45794 - (-4375/9652) = -441999313/9652"], "final_answer": "-441999313/9652", "answer_type": "rational", "kind": "expression", "math_text": "-45794 - (-4375) / 9652", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45794, \"b\": -4375, \"c\": 9652}", "seed": "16010550404825371580", "semantic_fingerprint": "sha256:a184a70f12590ca7da2e20b76c600756c03660ad0362b9f17539fa9279e6b8ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005251", "prompt": "Calculate: (22938 - 2602) * 5402", "solution_steps": ["Subtract: 22938 - 2602 = 20336", "Multiply: 20336 * 5402 = 109855072"], "final_answer": "109855072", "answer_type": "integer", "kind": "expression", "math_text": "(22938 - 2602) * 5402", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22938, \"b\": 2602, \"c\": 5402}", "seed": "5339541274745107051", "semantic_fingerprint": "sha256:58fd6470bad2d0f055f30eebc2297431b112aaebc21b61dfa6c98d9fa85bf054", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005252", "prompt": "Solve the equation 37(x + 2141) - 97150 = -11680 for x.", "solution_steps": ["Expand: 37x + 79217 - 97150 = -11680", "Combine constants: 37x - 17933 = -11680", "Add 17933 to both sides: 37x = 6253", "Divide both sides by 37: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 2141) - 97150 = -11680", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2141, \"c\": 97150, \"e\": -11680, \"x\": 169}", "seed": "16055970897527722755", "semantic_fingerprint": "sha256:2de3524a8dc416f13ff39f0a3027141bc4960e2fb982b34eda1ce81ef8c091b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005253", "prompt": "Compute: 7780 - (40656 + (-78432 + (-37982)) * 5336)", "solution_steps": ["Add: -78432 + (-37982) = -116414", "Multiply: -116414 * 5336 = -621185104", "Add: 40656 + (-621185104) = -621144448", "Subtract: 7780 - (-621144448) = 621152228"], "final_answer": "621152228", "answer_type": "integer", "kind": "expression", "math_text": "7780 - (40656 + (-78432 + (-37982)) * 5336)", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7780, \"b\": 40656, \"c\": -78432, \"d\": -37982, \"e\": 5336}", "seed": "2998091979777930211", "semantic_fingerprint": "sha256:b5e8726979733cfdaa7181f76cf77a8c61309dd4370523da58b26729be63a705", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005254", "prompt": "Evaluate: -9972 + (-2865) * (-5004) - (-7580 - (-1299))", "solution_steps": ["Multiply: -2865 * (-5004) = 14336460", "Add: -9972 + 14336460 = 14326488", "Subtract: -7580 - (-1299) = -6281", "Subtract: 14326488 - (-6281) = 14332769"], "final_answer": "14332769", "answer_type": "integer", "kind": "expression", "math_text": "-9972 + (-2865) * (-5004) - (-7580 - (-1299))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9972, \"b\": -2865, \"c\": -5004, \"d\": -7580, \"e\": -1299}", "seed": "2464093920249690605", "semantic_fingerprint": "sha256:ad6f7aab3e4182807b6ef4abe7ec760959ceed48ac9792396d45ff52fd9b6370", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005255", "prompt": "Find x: 20(x + 9205) = x", "solution_steps": ["Expand: 20x + 184100 = x", "Subtract x from both sides: 19x + 184100 = 0", "Subtract 184100 from both sides: 19x = -184100", "Divide both sides by 19: x = -184100/19"], "final_answer": "-184100/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 9205) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 9205}", "seed": "11641878477136405868", "semantic_fingerprint": "sha256:1c87db2c4252b89dd3d317891fb4b68f896f60a2aaeafd32f95d2ec014a860a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005256", "prompt": "Solve for x: x - 5212 = -31x + 3416", "solution_steps": ["Add 31x to both sides: 32x - 5212 = 3416", "Add 5212 to both sides: 32x = 8628", "Divide both sides by 32: x = 2157/8"], "final_answer": "2157/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5212 = -31x + 3416", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5212, \"b\": -31, \"c\": 3416}", "seed": "2819700160447689038", "semantic_fingerprint": "sha256:9f3a70dd4524ad029dd348316339cf163021ef67bd9054177d5023b8e02db887", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005257", "prompt": "Find x: -24x = 21(x + 57451)", "solution_steps": ["Expand: -24x = 21x + 1206471", "Subtract 21x from both sides: -45x = 1206471", "Divide both sides by -45: x = -402157/15"], "final_answer": "-402157/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x = 21(x + 57451)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 21, \"c\": 57451}", "seed": "154202233423205176", "semantic_fingerprint": "sha256:63c4704660b41e88879a8ff75a0ae4b0fab718fbd30de1842f60733d930334f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005258", "prompt": "Find x: 23x = -2024", "solution_steps": ["Divide both sides by 23: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x = -2024", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"c\": -2024, \"x\": -88}", "seed": "15852492663568868227", "semantic_fingerprint": "sha256:f03055118951bb7dde2c25e202a526e6168f85387735b8cbec9fa587fe76cbd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005259", "prompt": "Solve the equation -27x = -34(x - 9028) - 73352 for x.", "solution_steps": ["Expand: -27x = -34x + 306952 - 73352", "Combine constants: -27x = -34x + 233600", "Add 34x to both sides: 7x = 233600", "Divide both sides by 7: x = 233600/7"], "final_answer": "233600/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x = -34(x - 9028) - 73352", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": -34, \"c\": 9028, \"d\": 73352}", "seed": "4307795639376183078", "semantic_fingerprint": "sha256:723efa7e29a7608bd10487cbc2ed64b8993c9efc97a818fa98b13632988c01a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005260", "prompt": "Find x: 20x - 3004 = 22(x + 3940) - 89526", "solution_steps": ["Expand: 20x - 3004 = 22x + 86680 - 89526", "Combine constants: 20x - 3004 = 22x - 2846", "Subtract 22x from both sides: -2x - 3004 = -2846", "Add 3004 to both sides: -2x = 158", "Divide both sides by -2: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x - 3004 = 22(x + 3940) - 89526", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3004, \"c\": 22, \"d\": 3940, \"f\": -89526, \"x\": -79}", "seed": "746296251821812058", "semantic_fingerprint": "sha256:670c6be70aaee9664a5422cc971ecf935cbf34cc29cd159e906b96b5c135ffd8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005261", "prompt": "Evaluate: -9966 * (-56791) + (-73665)", "solution_steps": ["Multiply: -9966 * (-56791) = 565979106", "Add: 565979106 + (-73665) = 565905441"], "final_answer": "565905441", "answer_type": "integer", "kind": "expression", "math_text": "-9966 * (-56791) + (-73665)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9966, \"b\": -56791, \"c\": -73665}", "seed": "5663651453952320605", "semantic_fingerprint": "sha256:a0e70420af2f8163eb009336317e616421e1e1c460218d21e13c75e512d73986", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005262", "prompt": "What value of x satisfies x + 98127 = 15(x - 5532)?", "solution_steps": ["Expand: x + 98127 = 15x - 82980", "Subtract 15x from both sides: -14x + 98127 = -82980", "Subtract 98127 from both sides: -14x = -181107", "Divide both sides by -14: x = 181107/14"], "final_answer": "181107/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 98127 = 15(x - 5532)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98127, \"b\": 15, \"c\": 5532}", "seed": "6098958975724710860", "semantic_fingerprint": "sha256:8b3c66ecd3880dd86396c9a0c32bcdcf4b1d9fc1a617c30bbf7e895cedc560d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005263", "prompt": "Compute: 2404 - (-9515 - 5839) - (-11654)", "solution_steps": ["Subtract: -9515 - 5839 = -15354", "Subtract: 2404 - (-15354) = 17758", "Subtract: 17758 - (-11654) = 29412"], "final_answer": "29412", "answer_type": "integer", "kind": "expression", "math_text": "2404 - (-9515 - 5839) - (-11654)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2404, \"b\": -9515, \"c\": 5839, \"d\": -11654}", "seed": "17238017089476017711", "semantic_fingerprint": "sha256:b176216289b6cb428b431cb8eb57d5c2f59d06d878294ae7734f9a4357b953e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005264", "prompt": "Calculate: -7422 / ((-8941 + (-1956)) / 3904)", "solution_steps": ["Add: -8941 + (-1956) = -10897", "Divide: -10897 / 3904 = -10897/3904", "Divide: -7422 / (-10897/3904) = 28975488/10897"], "final_answer": "28975488/10897", "answer_type": "rational", "kind": "expression", "math_text": "-7422 / ((-8941 + (-1956)) / 3904)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7422, \"b\": -8941, \"c\": -1956, \"d\": 3904}", "seed": "556382993163868583", "semantic_fingerprint": "sha256:65022eb51156b48bb16f341396176797bf94d018215e301250a23c4ea413f59a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005265", "prompt": "Compute: (4383 - (-41420)) * 4773 - (-68968)", "solution_steps": ["Subtract: 4383 - (-41420) = 45803", "Multiply: 45803 * 4773 = 218617719", "Subtract: 218617719 - (-68968) = 218686687"], "final_answer": "218686687", "answer_type": "integer", "kind": "expression", "math_text": "(4383 - (-41420)) * 4773 - (-68968)", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4383, \"b\": -41420, \"c\": 4773, \"d\": -68968}", "seed": "7086727831063247047", "semantic_fingerprint": "sha256:e32472b104126d1d78c36dfb1eda3a77f7050609fbf885486ac467400c832505", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005266", "prompt": "Evaluate: -82816 * (-80399 - (-4962))", "solution_steps": ["Subtract: -80399 - (-4962) = -75437", "Multiply: -82816 * (-75437) = 6247390592"], "final_answer": "6247390592", "answer_type": "integer", "kind": "expression", "math_text": "-82816 * (-80399 - (-4962))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82816, \"b\": -80399, \"c\": -4962}", "seed": "7096543136672951895", "semantic_fingerprint": "sha256:61019d52dea3d6af4b76be0b0f3d2389ca9d231c752ef50225f5b6b44b4edad4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005267", "prompt": "Compute: -74861 - 93947", "solution_steps": ["Subtract: -74861 - 93947 = -168808"], "final_answer": "-168808", "answer_type": "integer", "kind": "expression", "math_text": "-74861 - 93947", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -74861, \"b\": 93947}", "seed": "6997246702258473357", "semantic_fingerprint": "sha256:3ac4049d2200dd65858e7d81fca6c74d5ac44377fbfdc1bfa4e933b2c77e76b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005268", "prompt": "Solve for x: x = 14x + 1521", "solution_steps": ["Subtract 14x from both sides: -13x = 1521", "Divide both sides by -13: x = -117"], "final_answer": "-117", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14x + 1521", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": 1521, \"x\": -117}", "seed": "10973614559358696182", "semantic_fingerprint": "sha256:d4e748a138e2359abce518f32787d70c8e73cbe3c789ba9254e2367310646e64", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005269", "prompt": "Solve for x: 14(x + 7641) = 31(x - 77361)", "solution_steps": ["Expand: 14x + 106974 = 31(x - 77361)", "Expand: 14x + 106974 = 31x - 2398191", "Subtract 31x from both sides: -17x + 106974 = -2398191", "Subtract 106974 from both sides: -17x = -2505165", "Divide both sides by -17: x = 2505165/17"], "final_answer": "2505165/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 7641) = 31(x - 77361)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7641, \"c\": 31, \"d\": 77361}", "seed": "531954759970538763", "semantic_fingerprint": "sha256:f86f8f6870e9e1cfd3d48e8c5fc4ae17c8d413e3f188b55e97f907098cc4ec8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005270", "prompt": "Calculate: (42901 + 34995 - (-8658)) * (-3127) / (-44752)", "solution_steps": ["Add: 42901 + 34995 = 77896", "Subtract: 77896 - (-8658) = 86554", "Multiply: 86554 * (-3127) = -270654358", "Divide: -270654358 / (-44752) = 135327179/22376"], "final_answer": "135327179/22376", "answer_type": "rational", "kind": "expression", "math_text": "(42901 + 34995 - (-8658)) * (-3127) / (-44752)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42901, \"b\": 34995, \"c\": -8658, \"d\": -3127, \"e\": -44752}", "seed": "8377033160911676737", "semantic_fingerprint": "sha256:f1dea42bcfc60d80e254f208ad68cfe9fbee652f79d92906397b1a4be0e4038d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005271", "prompt": "What is -14257 + 41166?", "solution_steps": ["Add: -14257 + 41166 = 26909"], "final_answer": "26909", "answer_type": "integer", "kind": "expression", "math_text": "-14257 + 41166", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -14257, \"b\": 41166}", "seed": "12410186434540584943", "semantic_fingerprint": "sha256:45a066289099e08cad25c2404de6eaf59ed018d5af04b90ee3a11764debeb77a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005272", "prompt": "Compute: -33375 / (-13962 - 2113)", "solution_steps": ["Subtract: -13962 - 2113 = -16075", "Divide: -33375 / (-16075) = 1335/643"], "final_answer": "1335/643", "answer_type": "rational", "kind": "expression", "math_text": "-33375 / (-13962 - 2113)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33375, \"b\": -13962, \"c\": 2113}", "seed": "3585957328050062453", "semantic_fingerprint": "sha256:c1f58653e44e6bb9aafe976309dddd18abd1d4b247c3bbd0b72f8cd832d1dd7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005273", "prompt": "Calculate: 36378 + (2700 - (-58622 - (-3248))) - 8794", "solution_steps": ["Subtract: -58622 - (-3248) = -55374", "Subtract: 2700 - (-55374) = 58074", "Add: 36378 + 58074 = 94452", "Subtract: 94452 - 8794 = 85658"], "final_answer": "85658", "answer_type": "integer", "kind": "expression", "math_text": "36378 + (2700 - (-58622 - (-3248))) - 8794", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36378, \"b\": 2700, \"c\": -58622, \"d\": -3248, \"e\": 8794}", "seed": "8405945512787831372", "semantic_fingerprint": "sha256:26ffdb1ada23a11ab9aeca41be99c4188be64c1f48eed1da4c11a2e70c835dae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005274", "prompt": "What is -1458 + 16939?", "solution_steps": ["Add: -1458 + 16939 = 15481"], "final_answer": "15481", "answer_type": "integer", "kind": "expression", "math_text": "-1458 + 16939", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1458, \"b\": 16939}", "seed": "10884005018430202185", "semantic_fingerprint": "sha256:69429ed189b6799797f7d94085c818b34d2dc4ba9daabcff0aaee3db69360360", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005275", "prompt": "What is 7319 / 29454?", "solution_steps": ["Divide: 7319 / 29454 = 7319/29454"], "final_answer": "7319/29454", "answer_type": "rational", "kind": "expression", "math_text": "7319 / 29454", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7319, \"b\": 29454}", "seed": "4865984613943491381", "semantic_fingerprint": "sha256:638a39cc6996228b1c314178874e08616c15b29dd71ff2a4954a7347242d886f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005276", "prompt": "What is -7975 + (-41223) + 3963 + 7492 / 66470?", "solution_steps": ["Add: -7975 + (-41223) = -49198", "Add: -49198 + 3963 = -45235", "Divide: 7492 / 66470 = 3746/33235", "Add: -45235 + 3746/33235 = -1503381479/33235"], "final_answer": "-1503381479/33235", "answer_type": "rational", "kind": "expression", "math_text": "-7975 + (-41223) + 3963 + 7492 / 66470", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7975, \"b\": -41223, \"c\": 3963, \"d\": 7492, \"e\": 66470}", "seed": "10314388794229144817", "semantic_fingerprint": "sha256:a2bddfc3ff6f0b41ab5089c8f07f0be792e16f3813b2df6d9f7b8746b16ba1f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005277", "prompt": "What value of x satisfies 26(x + 8509) + 7066 = 14x - 96545?", "solution_steps": ["Expand: 26x + 221234 + 7066 = 14x - 96545", "Combine constants: 26x + 228300 = 14x - 96545", "Subtract 14x from both sides: 12x + 228300 = -96545", "Subtract 228300 from both sides: 12x = -324845", "Divide both sides by 12: x = -324845/12"], "final_answer": "-324845/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 8509) + 7066 = 14x - 96545", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 8509, \"c\": 7066, \"d\": 14, \"e\": 96545}", "seed": "14566437813385734975", "semantic_fingerprint": "sha256:2d7df516f53eedfef20649ef96c01099a165d123a0996c94ed0b38240f45af83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005278", "prompt": "What value of x satisfies -29(x + 7206) + 12201 = -34(x - 87190) - 3644?", "solution_steps": ["Expand: -29x - 208974 + 12201 = -34(x - 87190) - 3644", "Expand: -29x - 208974 + 12201 = -34x + 2964460 - 3644", "Combine constants: -29x - 196773 = -34x + 2964460 - 3644", "Combine constants: -29x - 196773 = -34x + 2960816", "Add 34x to both sides: 5x - 196773 = 2960816", "Add 196773 to both sides: 5x = 3157589", "Divide both sides by 5: x = 3157589/5"], "final_answer": "3157589/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x + 7206) + 12201 = -34(x - 87190) - 3644", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 7206, \"c\": 12201, \"d\": -34, \"e\": 87190, \"f\": 3644}", "seed": "13448486607035368923", "semantic_fingerprint": "sha256:b86a860bdf39195d7afb5b2babec23142ceab1064a0340e9af15caf4802392f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005279", "prompt": "Compute: -15138 - (-66583) + (-2238 + (-19932))", "solution_steps": ["Subtract: -15138 - (-66583) = 51445", "Add: -2238 + (-19932) = -22170", "Add: 51445 + (-22170) = 29275"], "final_answer": "29275", "answer_type": "integer", "kind": "expression", "math_text": "-15138 - (-66583) + (-2238 + (-19932))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15138, \"b\": -66583, \"c\": -2238, \"d\": -19932}", "seed": "5462187368976160368", "semantic_fingerprint": "sha256:ec7c8a8b4447c15c6365a85c2224785af46f72ebec2cd80e0aad59e1f85a51bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005280", "prompt": "What is -17099 / 9590?", "solution_steps": ["Divide: -17099 / 9590 = -17099/9590"], "final_answer": "-17099/9590", "answer_type": "rational", "kind": "expression", "math_text": "-17099 / 9590", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17099, \"b\": 9590}", "seed": "1599723428128918281", "semantic_fingerprint": "sha256:c1c678cef0b908dd9bf1b0bf237768e6da6f69522ab348085b943f6769b5979b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005281", "prompt": "Evaluate: 6864 - (-2829)", "solution_steps": ["Subtract: 6864 - (-2829) = 9693"], "final_answer": "9693", "answer_type": "integer", "kind": "expression", "math_text": "6864 - (-2829)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6864, \"b\": -2829}", "seed": "11929672511939892359", "semantic_fingerprint": "sha256:5f9e6ede480dca014cb22467e0a1eedd8cb32b130aa0b716d75ef11bf1d4f1dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005282", "prompt": "Compute: 6982 * (-1779) * 53868", "solution_steps": ["Multiply: 6982 * (-1779) = -12420978", "Multiply: -12420978 * 53868 = -669093242904"], "final_answer": "-669093242904", "answer_type": "integer", "kind": "expression", "math_text": "6982 * (-1779) * 53868", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6982, \"b\": -1779, \"c\": 53868}", "seed": "1006822005188538415", "semantic_fingerprint": "sha256:42166f41f397bdd6ab0c0f884ce1d0232a29916284b0c7982b80c358ec49cd30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005283", "prompt": "Evaluate: (-2531 - (-8330)) / 21710", "solution_steps": ["Subtract: -2531 - (-8330) = 5799", "Divide: 5799 / 21710 = 5799/21710"], "final_answer": "5799/21710", "answer_type": "rational", "kind": "expression", "math_text": "(-2531 - (-8330)) / 21710", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2531, \"b\": -8330, \"c\": 21710}", "seed": "17909556165353769088", "semantic_fingerprint": "sha256:23d0e9a309290045dc21dbe6d79528aaf0c9dc569e7f2a759e8e4aea3b909a68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005284", "prompt": "Calculate: 1074 / (-6201 / (-2855)) - (-8296)", "solution_steps": ["Divide: -6201 / (-2855) = 6201/2855", "Divide: 1074 / (6201/2855) = 1022090/2067", "Subtract: 1022090/2067 - (-8296) = 18169922/2067"], "final_answer": "18169922/2067", "answer_type": "rational", "kind": "expression", "math_text": "1074 / (-6201 / (-2855)) - (-8296)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1074, \"b\": -6201, \"c\": -2855, \"d\": -8296}", "seed": "4692429382377771712", "semantic_fingerprint": "sha256:b9576c1405ec0d9f44ebc1588e355797f5c2d97e49df008abbc5f9fdc0948237", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005285", "prompt": "What is 6842 * 71257 + (-7764) * ((-9487 + (-13882)) * 3021)?", "solution_steps": ["Multiply: 6842 * 71257 = 487540394", "Add: -9487 + (-13882) = -23369", "Multiply: -23369 * 3021 = -70597749", "Multiply: -7764 * (-70597749) = 548120923236", "Add: 487540394 + 548120923236 = 548608463630"], "final_answer": "548608463630", "answer_type": "integer", "kind": "expression", "math_text": "6842 * 71257 + (-7764) * ((-9487 + (-13882)) * 3021)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* n (* (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6842, \"b\": 71257, \"c\": -7764, \"d\": -9487, \"e\": -13882, \"f\": 3021}", "seed": "11770957985646502814", "semantic_fingerprint": "sha256:cafd260bc64ffecf06fe665aa133fb1f49aa3ab4f1ee47a6e487eb6abfb757a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005286", "prompt": "Evaluate: -23223 + (-2966 + 8501)", "solution_steps": ["Add: -2966 + 8501 = 5535", "Add: -23223 + 5535 = -17688"], "final_answer": "-17688", "answer_type": "integer", "kind": "expression", "math_text": "-23223 + (-2966 + 8501)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23223, \"b\": -2966, \"c\": 8501}", "seed": "7752627426454560347", "semantic_fingerprint": "sha256:b71b711b41d2686672fc0b7631de54bf3a34aabc502972c549250ba3b4a04bae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005287", "prompt": "Calculate: -80658 / (-2993 + 33637) - 3052", "solution_steps": ["Add: -2993 + 33637 = 30644", "Divide: -80658 / 30644 = -40329/15322", "Subtract: -40329/15322 - 3052 = -46803073/15322"], "final_answer": "-46803073/15322", "answer_type": "rational", "kind": "expression", "math_text": "-80658 / (-2993 + 33637) - 3052", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -80658, \"b\": -2993, \"c\": 33637, \"d\": 3052}", "seed": "17274511838204762757", "semantic_fingerprint": "sha256:3197e182448f63146d7f0ded32a09ba88cdb7b2aba23cb1f541c4674386d62ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005288", "prompt": "Solve for x: x = 15x - 1022", "solution_steps": ["Subtract 15x from both sides: -14x = -1022", "Divide both sides by -14: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 15x - 1022", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": -1022, \"x\": 73}", "seed": "4899740455165748440", "semantic_fingerprint": "sha256:5ae6cc836c5aaecadde7ac7fd0a025bf28c38fcfde9fb8adc64a4c885a744cf1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005289", "prompt": "What value of x satisfies x = -37(x + 5818)?", "solution_steps": ["Expand: x = -37x - 215266", "Add 37x to both sides: 38x = -215266", "Divide both sides by 38: x = -107633/19"], "final_answer": "-107633/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -37(x + 5818)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 5818}", "seed": "14660349578143597348", "semantic_fingerprint": "sha256:f54889d92c395d70f52d9cb63aad9da9f855b61abe09506b612edcaeb0ad98dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005290", "prompt": "Solve the equation 38x + 9180 = -9389 for x.", "solution_steps": ["Subtract 9180 from both sides: 38x = -18569", "Divide both sides by 38: x = -18569/38"], "final_answer": "-18569/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 9180 = -9389", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9180, \"c\": -9389}", "seed": "14630529483107275108", "semantic_fingerprint": "sha256:d8e4951c4eadb19165f673a73a64ec5acc8fd7ca7114dfc285d4e91133736fec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005291", "prompt": "Compute: 2140 + (6969 - (-1710))", "solution_steps": ["Subtract: 6969 - (-1710) = 8679", "Add: 2140 + 8679 = 10819"], "final_answer": "10819", "answer_type": "integer", "kind": "expression", "math_text": "2140 + (6969 - (-1710))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2140, \"b\": 6969, \"c\": -1710}", "seed": "17676333025262355285", "semantic_fingerprint": "sha256:958c7394a808705c3c58e67f39cdf560cea81025aa71705d7dd34a626af606eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005292", "prompt": "Solve the equation 27(x + 5652) - 30184 = 14(x + 8566) for x.", "solution_steps": ["Expand: 27x + 152604 - 30184 = 14(x + 8566)", "Expand: 27x + 152604 - 30184 = 14x + 119924", "Combine constants: 27x + 122420 = 14x + 119924", "Subtract 14x from both sides: 13x + 122420 = 119924", "Subtract 122420 from both sides: 13x = -2496", "Divide both sides by 13: x = -192"], "final_answer": "-192", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x + 5652) - 30184 = 14(x + 8566)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 5652, \"c\": 14, \"d\": 8566, \"f\": -30184, \"x\": -192}", "seed": "15298164250399390623", "semantic_fingerprint": "sha256:4324e58d8e2c0409536bc06fcf365c64c4ce05b2c97665076f2f13df4b2910fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005293", "prompt": "What is -48317 + (-5407)?", "solution_steps": ["Add: -48317 + (-5407) = -53724"], "final_answer": "-53724", "answer_type": "integer", "kind": "expression", "math_text": "-48317 + (-5407)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -48317, \"b\": -5407}", "seed": "4632694820978907942", "semantic_fingerprint": "sha256:5ba36386d8f9e21554a2f394e20770c506c147429680fe3b3cc231a06c143359", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005294", "prompt": "Calculate: 14465 - (-21359 + 90038)", "solution_steps": ["Add: -21359 + 90038 = 68679", "Subtract: 14465 - 68679 = -54214"], "final_answer": "-54214", "answer_type": "integer", "kind": "expression", "math_text": "14465 - (-21359 + 90038)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14465, \"b\": -21359, \"c\": 90038}", "seed": "13378892819298006666", "semantic_fingerprint": "sha256:73d2f60a5d9ae6b125d40a994441b829165af7e56ddd025ff9485f2e1bb98fbd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005295", "prompt": "Evaluate: -5839 + 7032", "solution_steps": ["Add: -5839 + 7032 = 1193"], "final_answer": "1193", "answer_type": "integer", "kind": "expression", "math_text": "-5839 + 7032", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5839, \"b\": 7032}", "seed": "12480981280464344349", "semantic_fingerprint": "sha256:a0796d8114049f3a7e0754e957ace0a43a8dba71b92d07a976e95053aa12dcbf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005296", "prompt": "What is -1135 * (-40478) - (-9705)?", "solution_steps": ["Multiply: -1135 * (-40478) = 45942530", "Subtract: 45942530 - (-9705) = 45952235"], "final_answer": "45952235", "answer_type": "integer", "kind": "expression", "math_text": "-1135 * (-40478) - (-9705)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1135, \"b\": -40478, \"c\": -9705}", "seed": "3253862329766308500", "semantic_fingerprint": "sha256:6dae3e2550251aa85ea78d8f2838aa6f73e25bc398a918d0296fd005b3d25b38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005297", "prompt": "Evaluate: 5635 + (80048 - (-32662))", "solution_steps": ["Subtract: 80048 - (-32662) = 112710", "Add: 5635 + 112710 = 118345"], "final_answer": "118345", "answer_type": "integer", "kind": "expression", "math_text": "5635 + (80048 - (-32662))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5635, \"b\": 80048, \"c\": -32662}", "seed": "10013297359900837768", "semantic_fingerprint": "sha256:c597d7e2bcc640b66587ae45f14aed95e219aba421cfc5e3e20d9fe72aa63ea7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005298", "prompt": "Solve for x: x = 14x + 1911", "solution_steps": ["Subtract 14x from both sides: -13x = 1911", "Divide both sides by -13: x = -147"], "final_answer": "-147", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14x + 1911", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": 1911, \"x\": -147}", "seed": "9095438702426617550", "semantic_fingerprint": "sha256:e6711fb977b777b2dd46d20a54d6e66a8487640a1cd823ab1c544808e782cee4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005299", "prompt": "Calculate: -7647 - (-91696 + (-8336) + 9665)", "solution_steps": ["Add: -91696 + (-8336) = -100032", "Add: -100032 + 9665 = -90367", "Subtract: -7647 - (-90367) = 82720"], "final_answer": "82720", "answer_type": "integer", "kind": "expression", "math_text": "-7647 - (-91696 + (-8336) + 9665)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7647, \"b\": -91696, \"c\": -8336, \"d\": 9665}", "seed": "4230787192786586777", "semantic_fingerprint": "sha256:89b20b5cbbe2f65757c2f999bbe97d475ea14f4873273bb6f36e4708a8eb9486", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005300", "prompt": "Solve for x: 37(x + 2168) - 6758 = 78083", "solution_steps": ["Expand: 37x + 80216 - 6758 = 78083", "Combine constants: 37x + 73458 = 78083", "Subtract 73458 from both sides: 37x = 4625", "Divide both sides by 37: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 2168) - 6758 = 78083", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2168, \"c\": 6758, \"e\": 78083, \"x\": 125}", "seed": "11577497349905062634", "semantic_fingerprint": "sha256:4b2e1d5d1433bd5381917c0e97a056fc00f5247dad9def51a6696002e3522300", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005301", "prompt": "Evaluate: -3782 + (8736 - 8189 * 8481)", "solution_steps": ["Multiply: 8189 * 8481 = 69450909", "Subtract: 8736 - 69450909 = -69442173", "Add: -3782 + (-69442173) = -69445955"], "final_answer": "-69445955", "answer_type": "integer", "kind": "expression", "math_text": "-3782 + (8736 - 8189 * 8481)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3782, \"b\": 8736, \"c\": 8189, \"d\": 8481}", "seed": "1308023951491626813", "semantic_fingerprint": "sha256:9143bd0c92185d0d1400d5a385f9afdcb97b545b4627d040606da0230677f007", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005302", "prompt": "Solve the equation x - 3349 = 36x + 3056 for x.", "solution_steps": ["Subtract 36x from both sides: -35x - 3349 = 3056", "Add 3349 to both sides: -35x = 6405", "Divide both sides by -35: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3349 = 36x + 3056", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3349, \"b\": 36, \"d\": 3056, \"x\": -183}", "seed": "12838833475291941252", "semantic_fingerprint": "sha256:3a614c6d279fda946d404807b86fa07158409328f8bb9d9be8cef851565c547b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005303", "prompt": "What value of x satisfies 21(x - 7596) = 25(x - 43214)?", "solution_steps": ["Expand: 21x - 159516 = 25(x - 43214)", "Expand: 21x - 159516 = 25x - 1080350", "Subtract 25x from both sides: -4x - 159516 = -1080350", "Add 159516 to both sides: -4x = -920834", "Divide both sides by -4: x = 460417/2"], "final_answer": "460417/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 7596) = 25(x - 43214)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 7596, \"c\": 25, \"d\": 43214}", "seed": "11373330227666261376", "semantic_fingerprint": "sha256:8e1ad5ba52d1d349424252e7631595993fad763959f4e45f2d2e940ae34acf94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005304", "prompt": "Compute: -2207 * ((64542 - (-4540)) / 8822)", "solution_steps": ["Subtract: 64542 - (-4540) = 69082", "Divide: 69082 / 8822 = 34541/4411", "Multiply: -2207 * (34541/4411) = -76231987/4411"], "final_answer": "-76231987/4411", "answer_type": "rational", "kind": "expression", "math_text": "-2207 * ((64542 - (-4540)) / 8822)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2207, \"b\": 64542, \"c\": -4540, \"d\": 8822}", "seed": "2241661592290616648", "semantic_fingerprint": "sha256:de20f7d361f64bd9034daca23e18bd84de4488a911439473724688ef8618afc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005305", "prompt": "Evaluate: -7179 + 7922 + (71922 * 8788 + (3144 + (-15392)))", "solution_steps": ["Add: -7179 + 7922 = 743", "Multiply: 71922 * 8788 = 632050536", "Add: 3144 + (-15392) = -12248", "Add: 632050536 + (-12248) = 632038288", "Add: 743 + 632038288 = 632039031"], "final_answer": "632039031", "answer_type": "integer", "kind": "expression", "math_text": "-7179 + 7922 + (71922 * 8788 + (3144 + (-15392)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (* n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7179, \"b\": 7922, \"c\": 71922, \"d\": 8788, \"e\": 3144, \"f\": -15392}", "seed": "5948901189232902692", "semantic_fingerprint": "sha256:f551c388b7f5e0e215f2a70863f6053b5b6256c0fb529d9b8e06556527bdd406", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005306", "prompt": "Calculate: -1921 / (38623 / (1085 + (-2612)))", "solution_steps": ["Add: 1085 + (-2612) = -1527", "Divide: 38623 / (-1527) = -38623/1527", "Divide: -1921 / (-38623/1527) = 2933367/38623"], "final_answer": "2933367/38623", "answer_type": "rational", "kind": "expression", "math_text": "-1921 / (38623 / (1085 + (-2612)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1921, \"b\": 38623, \"c\": 1085, \"d\": -2612}", "seed": "17000516793133651149", "semantic_fingerprint": "sha256:87b4a7b1114a5f7ee152502ccb24a6836460f72b3fefb05112483cf92a38c463", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005307", "prompt": "Calculate: -5220 * 2914 - 8599", "solution_steps": ["Multiply: -5220 * 2914 = -15211080", "Subtract: -15211080 - 8599 = -15219679"], "final_answer": "-15219679", "answer_type": "integer", "kind": "expression", "math_text": "-5220 * 2914 - 8599", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5220, \"b\": 2914, \"c\": 8599}", "seed": "13351928988823704624", "semantic_fingerprint": "sha256:d36d553e5b98e9c88a104a46b12bd04ad1e823ae16ad4c7d09ea606ffe9d3d99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005308", "prompt": "What is 95595 - (-22308) - 4023 + (5265 + (42907 - (-55715)))?", "solution_steps": ["Subtract: 95595 - (-22308) = 117903", "Subtract: 117903 - 4023 = 113880", "Subtract: 42907 - (-55715) = 98622", "Add: 5265 + 98622 = 103887", "Add: 113880 + 103887 = 217767"], "final_answer": "217767", "answer_type": "integer", "kind": "expression", "math_text": "95595 - (-22308) - 4023 + (5265 + (42907 - (-55715)))", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 95595, \"b\": -22308, \"c\": 4023, \"d\": 5265, \"e\": 42907, \"f\": -55715}", "seed": "5397111852632503648", "semantic_fingerprint": "sha256:10520f6392e31036ebeba01ce8c52cdeb00aced39fc72b2ca12a622ba1eb071c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005309", "prompt": "Find x: x - 5526 = 39x - 11530", "solution_steps": ["Subtract 39x from both sides: -38x - 5526 = -11530", "Add 5526 to both sides: -38x = -6004", "Divide both sides by -38: x = 158"], "final_answer": "158", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5526 = 39x - 11530", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5526, \"b\": 39, \"d\": -11530, \"x\": 158}", "seed": "6731046397527860049", "semantic_fingerprint": "sha256:9427f0b42fbc5e554b36b09cc570280b48a67b79ba1ad59b0964dd0c2a8ee09e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005310", "prompt": "What is -4345 + 62955?", "solution_steps": ["Add: -4345 + 62955 = 58610"], "final_answer": "58610", "answer_type": "integer", "kind": "expression", "math_text": "-4345 + 62955", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4345, \"b\": 62955}", "seed": "13474454645695756398", "semantic_fingerprint": "sha256:647b7d0b35e3958c79fede7401c963b56c8f23ee4e39d5749bda4a776a4e1357", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005311", "prompt": "Compute: (-83310 + 91798) * 2980 / (41812 / (-52089 + 1812))", "solution_steps": ["Add: -83310 + 91798 = 8488", "Multiply: 8488 * 2980 = 25294240", "Add: -52089 + 1812 = -50277", "Divide: 41812 / (-50277) = -41812/50277", "Divide: 25294240 / (-41812/50277) = -317929626120/10453"], "final_answer": "-317929626120/10453", "answer_type": "rational", "kind": "expression", "math_text": "(-83310 + 91798) * 2980 / (41812 / (-52089 + 1812))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -83310, \"b\": 91798, \"c\": 2980, \"d\": 41812, \"e\": -52089, \"f\": 1812}", "seed": "3860949625502120932", "semantic_fingerprint": "sha256:5cfdae56947f4e2db3174d4fe2019c169b022244b92fc9814b1e8f67a90349c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005312", "prompt": "Compute: 2413 - (-6804) - (-7889) / 16143", "solution_steps": ["Subtract: 2413 - (-6804) = 9217", "Divide: -7889 / 16143 = -7889/16143", "Subtract: 9217 - (-7889/16143) = 148797920/16143"], "final_answer": "148797920/16143", "answer_type": "rational", "kind": "expression", "math_text": "2413 - (-6804) - (-7889) / 16143", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2413, \"b\": -6804, \"c\": -7889, \"d\": 16143}", "seed": "15743345988428558438", "semantic_fingerprint": "sha256:e5211535502776945d416ac05ceb1982bdbb295067a22facff2827fd58745dcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005313", "prompt": "Evaluate: 74404 * (-9036)", "solution_steps": ["Multiply: 74404 * (-9036) = -672314544"], "final_answer": "-672314544", "answer_type": "integer", "kind": "expression", "math_text": "74404 * (-9036)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74404, \"b\": -9036}", "seed": "8461878588948454731", "semantic_fingerprint": "sha256:1f5c6cf2b7a40fd28e7fb5c98808b7d9677328b68f21e2c8ad1e73682ab70c53", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005314", "prompt": "Evaluate: -53702 + (-4568 + 9949)", "solution_steps": ["Add: -4568 + 9949 = 5381", "Add: -53702 + 5381 = -48321"], "final_answer": "-48321", "answer_type": "integer", "kind": "expression", "math_text": "-53702 + (-4568 + 9949)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53702, \"b\": -4568, \"c\": 9949}", "seed": "8270378794312555448", "semantic_fingerprint": "sha256:06bbe1b7b1cdbc0a9a80cb05496bbd8131081370e11e277babf13d0cf644d90f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005315", "prompt": "Compute: 75573 * (-41589)", "solution_steps": ["Multiply: 75573 * (-41589) = -3143005497"], "final_answer": "-3143005497", "answer_type": "integer", "kind": "expression", "math_text": "75573 * (-41589)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 75573, \"b\": -41589}", "seed": "4653568198569393581", "semantic_fingerprint": "sha256:d869b1daa5299d719bf337dab23a4aa28ebc3466afd15e7653c3499a12cc5e40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005316", "prompt": "Solve for x: x + 6025 = -97273", "solution_steps": ["Subtract 6025 from both sides: x = -103298"], "final_answer": "-103298", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6025 = -97273", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6025, \"b\": -97273}", "seed": "8381159451017432500", "semantic_fingerprint": "sha256:7f68419e39e0c5be76650460e66334e66cb2ecc05fc9e15e3df34140fa189543", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005317", "prompt": "Evaluate: -47245 / 6238", "solution_steps": ["Divide: -47245 / 6238 = -47245/6238"], "final_answer": "-47245/6238", "answer_type": "rational", "kind": "expression", "math_text": "-47245 / 6238", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47245, \"b\": 6238}", "seed": "15653489094056161064", "semantic_fingerprint": "sha256:be7abba0d4d9c28b678c78022e47605fdddd0c78b7f7016354ddee19c7e22adf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005318", "prompt": "Calculate: (-1667 * (-9430) - 33695) * (1692 + 4522 - (-25281))", "solution_steps": ["Multiply: -1667 * (-9430) = 15719810", "Subtract: 15719810 - 33695 = 15686115", "Add: 1692 + 4522 = 6214", "Subtract: 6214 - (-25281) = 31495", "Multiply: 15686115 * 31495 = 494034191925"], "final_answer": "494034191925", "answer_type": "integer", "kind": "expression", "math_text": "(-1667 * (-9430) - 33695) * (1692 + 4522 - (-25281))", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1667, \"b\": -9430, \"c\": 33695, \"d\": 1692, \"e\": 4522, \"f\": -25281}", "seed": "1519574184271906048", "semantic_fingerprint": "sha256:c4e06e33a569765b0c47c751df1d151b045d4cf1f5aa2834924eefb03b84a6b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005319", "prompt": "Solve for x: -35(x + 90542) - 6312 = 18(x + 89557) - 43477", "solution_steps": ["Expand: -35x - 3168970 - 6312 = 18(x + 89557) - 43477", "Expand: -35x - 3168970 - 6312 = 18x + 1612026 - 43477", "Combine constants: -35x - 3175282 = 18x + 1612026 - 43477", "Combine constants: -35x - 3175282 = 18x + 1568549", "Subtract 18x from both sides: -53x - 3175282 = 1568549", "Add 3175282 to both sides: -53x = 4743831", "Divide both sides by -53: x = -4743831/53"], "final_answer": "-4743831/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 90542) - 6312 = 18(x + 89557) - 43477", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 90542, \"c\": 6312, \"d\": 18, \"e\": 89557, \"f\": 43477}", "seed": "6254447664438871645", "semantic_fingerprint": "sha256:1385d37367efa81bed9693478e40037f9d8b19cc3ead70f0400d3f80477ba6da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005320", "prompt": "Compute: -4140 / (-9486 - (-9141))", "solution_steps": ["Subtract: -9486 - (-9141) = -345", "Divide: -4140 / (-345) = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "-4140 / (-9486 - (-9141))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4140, \"b\": -9486, \"c\": -9141}", "seed": "11634355942096417958", "semantic_fingerprint": "sha256:c58d2461cc76ecf175ecd21da1cc88cd641e2aadd61085d373d51437cdd46c11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005321", "prompt": "What value of x satisfies -35(x + 2863) = -19(x + 7950) + 3509?", "solution_steps": ["Expand: -35x - 100205 = -19(x + 7950) + 3509", "Expand: -35x - 100205 = -19x - 151050 + 3509", "Combine constants: -35x - 100205 = -19x - 147541", "Add 19x to both sides: -16x - 100205 = -147541", "Add 100205 to both sides: -16x = -47336", "Divide both sides by -16: x = 5917/2"], "final_answer": "5917/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 2863) = -19(x + 7950) + 3509", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 2863, \"c\": -19, \"d\": 7950, \"e\": 3509}", "seed": "4327476765041081078", "semantic_fingerprint": "sha256:4a34c40aa4fdff279d2a7c364af5af9dc5c653d929ea6e8bf171c7ce83fddda4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005322", "prompt": "Evaluate: -83708 / (4710 + 9893 + 4406)", "solution_steps": ["Add: 4710 + 9893 = 14603", "Add: 14603 + 4406 = 19009", "Divide: -83708 / 19009 = -83708/19009"], "final_answer": "-83708/19009", "answer_type": "rational", "kind": "expression", "math_text": "-83708 / (4710 + 9893 + 4406)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83708, \"b\": 4710, \"c\": 9893, \"d\": 4406}", "seed": "10104844575414032392", "semantic_fingerprint": "sha256:4046930cd532296c83a8afd403184fc2feffb4fde3574b5b93be695253d1d71c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005323", "prompt": "Evaluate: 8716 * (-55864)", "solution_steps": ["Multiply: 8716 * (-55864) = -486910624"], "final_answer": "-486910624", "answer_type": "integer", "kind": "expression", "math_text": "8716 * (-55864)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8716, \"b\": -55864}", "seed": "2253765395879944696", "semantic_fingerprint": "sha256:f141227ed938df55a6f22f94c851d803e59db57a7c9dcc926cc89894e115c942", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005324", "prompt": "Calculate: -2413 - 4738", "solution_steps": ["Subtract: -2413 - 4738 = -7151"], "final_answer": "-7151", "answer_type": "integer", "kind": "expression", "math_text": "-2413 - 4738", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2413, \"b\": 4738}", "seed": "495652175339765920", "semantic_fingerprint": "sha256:f1ad35e90aa1fec66836ef20576ba6b92bfd4b33f8b575317fca371fc799403e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005325", "prompt": "Evaluate: 67318 / (-41328)", "solution_steps": ["Divide: 67318 / (-41328) = -33659/20664"], "final_answer": "-33659/20664", "answer_type": "rational", "kind": "expression", "math_text": "67318 / (-41328)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 67318, \"b\": -41328}", "seed": "13667044233488950578", "semantic_fingerprint": "sha256:ec4d8efc54daec506f60a45633bf85198d0a844d46ad72fbdaeed3a6943232c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005326", "prompt": "Evaluate: -8744 * (-9598 - (-2025)) + (-82149) / (-2977)", "solution_steps": ["Subtract: -9598 - (-2025) = -7573", "Multiply: -8744 * (-7573) = 66218312", "Divide: -82149 / (-2977) = 82149/2977", "Add: 66218312 + 82149/2977 = 197131996973/2977"], "final_answer": "197131996973/2977", "answer_type": "rational", "kind": "expression", "math_text": "-8744 * (-9598 - (-2025)) + (-82149) / (-2977)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8744, \"b\": -9598, \"c\": -2025, \"d\": -82149, \"e\": -2977}", "seed": "4907000506173565689", "semantic_fingerprint": "sha256:7fd3a6eb7e5f5f203181ecc43856d34d529ea3b06b99f7a1e86d043aa12561f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005327", "prompt": "Calculate: -5475 * 61401 * 1210", "solution_steps": ["Multiply: -5475 * 61401 = -336170475", "Multiply: -336170475 * 1210 = -406766274750"], "final_answer": "-406766274750", "answer_type": "integer", "kind": "expression", "math_text": "-5475 * 61401 * 1210", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5475, \"b\": 61401, \"c\": 1210}", "seed": "5281587041070894817", "semantic_fingerprint": "sha256:db81ed587e0d0316b15349928d10f43064ba727fb6ca248d0e53ed8e1928b716", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005328", "prompt": "Compute: -5783 / (-5806) * (78041 + 8273)", "solution_steps": ["Divide: -5783 / (-5806) = 5783/5806", "Add: 78041 + 8273 = 86314", "Multiply: (5783/5806) * 86314 = 249576931/2903"], "final_answer": "249576931/2903", "answer_type": "rational", "kind": "expression", "math_text": "-5783 / (-5806) * (78041 + 8273)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5783, \"b\": -5806, \"c\": 78041, \"d\": 8273}", "seed": "11935066663857362581", "semantic_fingerprint": "sha256:b30a7ee612ecefc35d3537b22c8405af4a628c33f5b90163da56186a2487ff32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005329", "prompt": "Calculate: 64968 * 93970 + 6391", "solution_steps": ["Multiply: 64968 * 93970 = 6105042960", "Add: 6105042960 + 6391 = 6105049351"], "final_answer": "6105049351", "answer_type": "integer", "kind": "expression", "math_text": "64968 * 93970 + 6391", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64968, \"b\": 93970, \"c\": 6391}", "seed": "7744148797570490049", "semantic_fingerprint": "sha256:9c92897d166b62c3bb2541814344d705447ce50a0592b02ecaa7a3bf5c54d942", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005330", "prompt": "Compute: -40968 * (-23250)", "solution_steps": ["Multiply: -40968 * (-23250) = 952506000"], "final_answer": "952506000", "answer_type": "integer", "kind": "expression", "math_text": "-40968 * (-23250)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -40968, \"b\": -23250}", "seed": "9494305592087044235", "semantic_fingerprint": "sha256:278d5b31d33bdc40faa98d93c380915c764efc2b6b6fd3a3cef0a8387388e80b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005331", "prompt": "What is -3079 * (-3612 + 34156 - (-6595) / 3628)?", "solution_steps": ["Add: -3612 + 34156 = 30544", "Divide: -6595 / 3628 = -6595/3628", "Subtract: 30544 - (-6595/3628) = 110820227/3628", "Multiply: -3079 * (110820227/3628) = -341215478933/3628"], "final_answer": "-341215478933/3628", "answer_type": "rational", "kind": "expression", "math_text": "-3079 * (-3612 + 34156 - (-6595) / 3628)", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3079, \"b\": -3612, \"c\": 34156, \"d\": -6595, \"e\": 3628}", "seed": "15995835522493652091", "semantic_fingerprint": "sha256:04517210a860fe0c1084de28e0e3d878c7d4ee204c06cd26c544fdab6c8ca620", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005332", "prompt": "Evaluate: -4528 / 3427 * (-52359) - 3195 + 4910", "solution_steps": ["Divide: -4528 / 3427 = -4528/3427", "Multiply: (-4528/3427) * (-52359) = 237081552/3427", "Subtract: 237081552/3427 - 3195 = 226132287/3427", "Add: 226132287/3427 + 4910 = 242958857/3427"], "final_answer": "242958857/3427", "answer_type": "rational", "kind": "expression", "math_text": "-4528 / 3427 * (-52359) - 3195 + 4910", "variable": null, "family": "expression_4op", "shape": "(+ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4528, \"b\": 3427, \"c\": -52359, \"d\": 3195, \"e\": 4910}", "seed": "8075422436910798278", "semantic_fingerprint": "sha256:034716fff78c3740e996bd2dcdd6c1dfdde21e2e42d62f52849e1334def9a33b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005333", "prompt": "Compute: -3392 + 27986", "solution_steps": ["Add: -3392 + 27986 = 24594"], "final_answer": "24594", "answer_type": "integer", "kind": "expression", "math_text": "-3392 + 27986", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3392, \"b\": 27986}", "seed": "13364822552600518724", "semantic_fingerprint": "sha256:97078a2ffd70947ae3c40daa639ce1bc49ef9eeee8432015ae19bb5e908e99c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005334", "prompt": "What is -9547 / 5471?", "solution_steps": ["Divide: -9547 / 5471 = -9547/5471"], "final_answer": "-9547/5471", "answer_type": "rational", "kind": "expression", "math_text": "-9547 / 5471", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9547, \"b\": 5471}", "seed": "18397802921841748946", "semantic_fingerprint": "sha256:e5c29772fc86774fc392dcbb493800b4291897e96fa5c537e4aaa2a6691b2ddc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005335", "prompt": "Compute: -9906 * 6197", "solution_steps": ["Multiply: -9906 * 6197 = -61387482"], "final_answer": "-61387482", "answer_type": "integer", "kind": "expression", "math_text": "-9906 * 6197", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9906, \"b\": 6197}", "seed": "8245588725143510839", "semantic_fingerprint": "sha256:3acefaf194cc06409a32e7c1ed5f43d0b3e6323df8fec832610546b1d338c943", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005336", "prompt": "Calculate: -8872 + (-43956) + (-8423 + 12086 + (2872 - 68512))", "solution_steps": ["Add: -8872 + (-43956) = -52828", "Add: -8423 + 12086 = 3663", "Subtract: 2872 - 68512 = -65640", "Add: 3663 + (-65640) = -61977", "Add: -52828 + (-61977) = -114805"], "final_answer": "-114805", "answer_type": "integer", "kind": "expression", "math_text": "-8872 + (-43956) + (-8423 + 12086 + (2872 - 68512))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8872, \"b\": -43956, \"c\": -8423, \"d\": 12086, \"e\": 2872, \"f\": 68512}", "seed": "16779073779136961490", "semantic_fingerprint": "sha256:b92b1cf9750700915651d7546f06ccf4aa35a0090fa6863112c83ef060b9d321", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005337", "prompt": "What value of x satisfies -24x + 3634 = 81256?", "solution_steps": ["Subtract 3634 from both sides: -24x = 77622", "Divide both sides by -24: x = -12937/4"], "final_answer": "-12937/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x + 3634 = 81256", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 3634, \"c\": 81256}", "seed": "12682150222999121848", "semantic_fingerprint": "sha256:53e1101ace23d8331469016fb6104e5d464b3abc0b9cce9645e61cfdf61fa73e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005338", "prompt": "Evaluate: -8797 + (-6743) - (-1016) * (-1290)", "solution_steps": ["Add: -8797 + (-6743) = -15540", "Multiply: -1016 * (-1290) = 1310640", "Subtract: -15540 - 1310640 = -1326180"], "final_answer": "-1326180", "answer_type": "integer", "kind": "expression", "math_text": "-8797 + (-6743) - (-1016) * (-1290)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8797, \"b\": -6743, \"c\": -1016, \"d\": -1290}", "seed": "10135550890582432986", "semantic_fingerprint": "sha256:2a04297f90c3800c22cbe92319b7d1ff9681604755f0dbc3c2521a76c8f1b9b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005339", "prompt": "Compute: 71770 * (-93360)", "solution_steps": ["Multiply: 71770 * (-93360) = -6700447200"], "final_answer": "-6700447200", "answer_type": "integer", "kind": "expression", "math_text": "71770 * (-93360)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 71770, \"b\": -93360}", "seed": "17625296573510221838", "semantic_fingerprint": "sha256:b0a57a913dbdbb48445827a5534c39a17c289b8a2bcb28776dcdaae569e89337", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005340", "prompt": "Evaluate: (78156 + (-1382 + (-24052) + 7524)) / 2527", "solution_steps": ["Add: -1382 + (-24052) = -25434", "Add: -25434 + 7524 = -17910", "Add: 78156 + (-17910) = 60246", "Divide: 60246 / 2527 = 60246/2527"], "final_answer": "60246/2527", "answer_type": "rational", "kind": "expression", "math_text": "(78156 + (-1382 + (-24052) + 7524)) / 2527", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 78156, \"b\": -1382, \"c\": -24052, \"d\": 7524, \"e\": 2527}", "seed": "16596177657079772914", "semantic_fingerprint": "sha256:eae927a4b7ec326dc6e5b7bdca6d1e37fc2eb6db37331033121956e95802fd90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005341", "prompt": "What value of x satisfies -18(x + 71300) + 16440 = x - 38991?", "solution_steps": ["Expand: -18x - 1283400 + 16440 = x - 38991", "Combine constants: -18x - 1266960 = x - 38991", "Subtract x from both sides: -19x - 1266960 = -38991", "Add 1266960 to both sides: -19x = 1227969", "Divide both sides by -19: x = -1227969/19"], "final_answer": "-1227969/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x + 71300) + 16440 = x - 38991", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 71300, \"c\": 16440, \"d\": 38991}", "seed": "6187489046657886343", "semantic_fingerprint": "sha256:e764fec0d521c3be89d05e731dd7db071290122658e477ac6b249eece11b4129", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005342", "prompt": "What is -9793 + (-4016) * (-6097)?", "solution_steps": ["Multiply: -4016 * (-6097) = 24485552", "Add: -9793 + 24485552 = 24475759"], "final_answer": "24475759", "answer_type": "integer", "kind": "expression", "math_text": "-9793 + (-4016) * (-6097)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9793, \"b\": -4016, \"c\": -6097}", "seed": "9409189027429240456", "semantic_fingerprint": "sha256:f531bc0a937d2f16b1c7ad0345c83727b4d6822f3f205bf2de3b1505e6bb7319", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005343", "prompt": "Solve for x: 14(x - 2979) + 31203 = x - 4781", "solution_steps": ["Expand: 14x - 41706 + 31203 = x - 4781", "Combine constants: 14x - 10503 = x - 4781", "Subtract x from both sides: 13x - 10503 = -4781", "Add 10503 to both sides: 13x = 5722", "Divide both sides by 13: x = 5722/13"], "final_answer": "5722/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 2979) + 31203 = x - 4781", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2979, \"c\": 31203, \"d\": 4781}", "seed": "4052643981392347794", "semantic_fingerprint": "sha256:7f6922c135efec0e14cd3a256ab834bdef8fdb6ede3f80ffecf73c4fbac3e766", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005344", "prompt": "Evaluate: -2981 / (5364 + 48565)", "solution_steps": ["Add: 5364 + 48565 = 53929", "Divide: -2981 / 53929 = -11/199"], "final_answer": "-11/199", "answer_type": "rational", "kind": "expression", "math_text": "-2981 / (5364 + 48565)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2981, \"b\": 5364, \"c\": 48565}", "seed": "16494495285870375594", "semantic_fingerprint": "sha256:b064da750fec1ac918e9ec47f6c77d45997632bb9ee56e454cc4c708a82df5e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005345", "prompt": "What is -83927 * 3753 / (-27453)?", "solution_steps": ["Multiply: -83927 * 3753 = -314978031", "Divide: -314978031 / (-27453) = 104992677/9151"], "final_answer": "104992677/9151", "answer_type": "rational", "kind": "expression", "math_text": "-83927 * 3753 / (-27453)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83927, \"b\": 3753, \"c\": -27453}", "seed": "12409597267895129848", "semantic_fingerprint": "sha256:d490d5755a21f8a00a45a35fe65779cfa9f342f00b15d67ff5bfee0cced4d94e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005346", "prompt": "What is 5668 + (5721 + 95857)?", "solution_steps": ["Add: 5721 + 95857 = 101578", "Add: 5668 + 101578 = 107246"], "final_answer": "107246", "answer_type": "integer", "kind": "expression", "math_text": "5668 + (5721 + 95857)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5668, \"b\": 5721, \"c\": 95857}", "seed": "12128733034328486853", "semantic_fingerprint": "sha256:31b3f308b2a79339bf19cb345dad442e480d92633d70e0c159976db42ec68861", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005347", "prompt": "Evaluate: (-4425 + (-7720)) * 22587", "solution_steps": ["Add: -4425 + (-7720) = -12145", "Multiply: -12145 * 22587 = -274319115"], "final_answer": "-274319115", "answer_type": "integer", "kind": "expression", "math_text": "(-4425 + (-7720)) * 22587", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4425, \"b\": -7720, \"c\": 22587}", "seed": "3271418682221000059", "semantic_fingerprint": "sha256:259fd750112997535c20dc2a443a6ed642daeb9e524f176fdf84acb41e7632e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005348", "prompt": "Solve the equation x + 6957 = 25(x + 2129) + 3867 for x.", "solution_steps": ["Expand: x + 6957 = 25x + 53225 + 3867", "Combine constants: x + 6957 = 25x + 57092", "Subtract 25x from both sides: -24x + 6957 = 57092", "Subtract 6957 from both sides: -24x = 50135", "Divide both sides by -24: x = -50135/24"], "final_answer": "-50135/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6957 = 25(x + 2129) + 3867", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6957, \"b\": 25, \"c\": 2129, \"d\": 3867}", "seed": "13834522699485368370", "semantic_fingerprint": "sha256:bd1b1c88f532e4c9580c285d189091b1cc0c87f2852879444bb560510fc2cf34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005349", "prompt": "Find x: -25(x + 2157) - 6148 = -31(x - 20397) + 5581", "solution_steps": ["Expand: -25x - 53925 - 6148 = -31(x - 20397) + 5581", "Expand: -25x - 53925 - 6148 = -31x + 632307 + 5581", "Combine constants: -25x - 60073 = -31x + 632307 + 5581", "Combine constants: -25x - 60073 = -31x + 637888", "Add 31x to both sides: 6x - 60073 = 637888", "Add 60073 to both sides: 6x = 697961", "Divide both sides by 6: x = 697961/6"], "final_answer": "697961/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 2157) - 6148 = -31(x - 20397) + 5581", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 2157, \"c\": 6148, \"d\": -31, \"e\": 20397, \"f\": 5581}", "seed": "2123334590041861650", "semantic_fingerprint": "sha256:5b50ef9078f1eaec7b7cfaf412b0a648d1bddc7d6924f1287b7f432f46f1eca0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005350", "prompt": "Solve the equation -37(x - 1158) = -26(x - 2057) for x.", "solution_steps": ["Expand: -37x + 42846 = -26(x - 2057)", "Expand: -37x + 42846 = -26x + 53482", "Add 26x to both sides: -11x + 42846 = 53482", "Subtract 42846 from both sides: -11x = 10636", "Divide both sides by -11: x = -10636/11"], "final_answer": "-10636/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x - 1158) = -26(x - 2057)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1158, \"c\": -26, \"d\": 2057}", "seed": "8792197852379305130", "semantic_fingerprint": "sha256:52edb563aca70ac018c6305766162beb2f4797376f9b5f451e5dde4829feeb14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005351", "prompt": "Solve for x: 28(x + 24877) = 38x + 5216", "solution_steps": ["Expand: 28x + 696556 = 38x + 5216", "Subtract 38x from both sides: -10x + 696556 = 5216", "Subtract 696556 from both sides: -10x = -691340", "Divide both sides by -10: x = 69134"], "final_answer": "69134", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 24877) = 38x + 5216", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 24877, \"c\": 38, \"d\": 5216}", "seed": "10708963482740557645", "semantic_fingerprint": "sha256:cc0d14a7d8547fc0a5b9927abe7e60b202460252e8eeaf7e2f1fd4f11d33d004", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005352", "prompt": "Evaluate: 16265 - 7803", "solution_steps": ["Subtract: 16265 - 7803 = 8462"], "final_answer": "8462", "answer_type": "integer", "kind": "expression", "math_text": "16265 - 7803", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16265, \"b\": 7803}", "seed": "5303801941696708037", "semantic_fingerprint": "sha256:47e3a6d52bd71367c3742c2d73cdefe494625bd7e6138a69cc3f874847634c2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005353", "prompt": "Compute: -14165 * (-3356) / 86133 - (-7743)", "solution_steps": ["Multiply: -14165 * (-3356) = 47537740", "Divide: 47537740 / 86133 = 47537740/86133", "Subtract: 47537740/86133 - (-7743) = 714465559/86133"], "final_answer": "714465559/86133", "answer_type": "rational", "kind": "expression", "math_text": "-14165 * (-3356) / 86133 - (-7743)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14165, \"b\": -3356, \"c\": 86133, \"d\": -7743}", "seed": "5481000325996155368", "semantic_fingerprint": "sha256:62281fbc726d97b1a22bcf0bf481717b4060a4bf534c11860e337e57ec1bd576", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005354", "prompt": "What is 3625 / 59933?", "solution_steps": ["Divide: 3625 / 59933 = 3625/59933"], "final_answer": "3625/59933", "answer_type": "rational", "kind": "expression", "math_text": "3625 / 59933", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3625, \"b\": 59933}", "seed": "5684892226679522390", "semantic_fingerprint": "sha256:8b9e146f19d48117d0b2ccc386f8d393298999ccf4b85b2c58c77c87547e157f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005355", "prompt": "Calculate: -5033 * (-3731 + 3444)", "solution_steps": ["Add: -3731 + 3444 = -287", "Multiply: -5033 * (-287) = 1444471"], "final_answer": "1444471", "answer_type": "integer", "kind": "expression", "math_text": "-5033 * (-3731 + 3444)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5033, \"b\": -3731, \"c\": 3444}", "seed": "6643315522588482542", "semantic_fingerprint": "sha256:e23fa38fc8612f14c6ead439beba60f11e3f1b9c079850df5c223f0f4a3fcba1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005356", "prompt": "Evaluate: -5568 + (-9346)", "solution_steps": ["Add: -5568 + (-9346) = -14914"], "final_answer": "-14914", "answer_type": "integer", "kind": "expression", "math_text": "-5568 + (-9346)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5568, \"b\": -9346}", "seed": "8268308290208909794", "semantic_fingerprint": "sha256:71e6c50e352c71cccd1e50b6b3a1b73343cfc511313be5f02f7baee41224bd4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005357", "prompt": "Calculate: (59826 - (-38156)) / (-59992)", "solution_steps": ["Subtract: 59826 - (-38156) = 97982", "Divide: 97982 / (-59992) = -48991/29996"], "final_answer": "-48991/29996", "answer_type": "rational", "kind": "expression", "math_text": "(59826 - (-38156)) / (-59992)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59826, \"b\": -38156, \"c\": -59992}", "seed": "10261018490494945921", "semantic_fingerprint": "sha256:d54e43a9323c94cd42b9ec06b05a3bdf3bfabbef8cbab09aa8c6f96b4950f8b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005358", "prompt": "Evaluate: 88785 - (8536 * 7303 + (-1319) * 7745)", "solution_steps": ["Multiply: 8536 * 7303 = 62338408", "Multiply: -1319 * 7745 = -10215655", "Add: 62338408 + (-10215655) = 52122753", "Subtract: 88785 - 52122753 = -52033968"], "final_answer": "-52033968", "answer_type": "integer", "kind": "expression", "math_text": "88785 - (8536 * 7303 + (-1319) * 7745)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 88785, \"b\": 8536, \"c\": 7303, \"d\": -1319, \"e\": 7745}", "seed": "3134788273833421110", "semantic_fingerprint": "sha256:71ef881aa8c126b5ddd213eb9b6c458dee6758c7f1abe3d44564325cee592633", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005359", "prompt": "Calculate: 88124 / (-1257 - (-1644)) * 8929", "solution_steps": ["Subtract: -1257 - (-1644) = 387", "Divide: 88124 / 387 = 88124/387", "Multiply: (88124/387) * 8929 = 786859196/387"], "final_answer": "786859196/387", "answer_type": "rational", "kind": "expression", "math_text": "88124 / (-1257 - (-1644)) * 8929", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 88124, \"b\": -1257, \"c\": -1644, \"d\": 8929}", "seed": "14360745847924579513", "semantic_fingerprint": "sha256:dbd472e0a95f404c2399f8c23b740c935dec6c944172bfa571cece24d91eebdb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005360", "prompt": "Calculate: -7126 / 69437 * (-4622 * 5391)", "solution_steps": ["Divide: -7126 / 69437 = -7126/69437", "Multiply: -4622 * 5391 = -24917202", "Multiply: (-7126/69437) * (-24917202) = 177559981452/69437"], "final_answer": "177559981452/69437", "answer_type": "rational", "kind": "expression", "math_text": "-7126 / 69437 * (-4622 * 5391)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7126, \"b\": 69437, \"c\": -4622, \"d\": 5391}", "seed": "10844518891903623522", "semantic_fingerprint": "sha256:05966309c73b584286f655007410c1b0140dbebef21936b0e51738d9dd55ec1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005361", "prompt": "Evaluate: 2991 - 57429 + 2918", "solution_steps": ["Subtract: 2991 - 57429 = -54438", "Add: -54438 + 2918 = -51520"], "final_answer": "-51520", "answer_type": "integer", "kind": "expression", "math_text": "2991 - 57429 + 2918", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2991, \"b\": 57429, \"c\": 2918}", "seed": "15996678833001881647", "semantic_fingerprint": "sha256:d27796419fa42490bdd246891f6aacc6ec278382e8f7175e25fd020784a242e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005362", "prompt": "Solve the equation x + 70673 = 22x + 67985 for x.", "solution_steps": ["Subtract 22x from both sides: -21x + 70673 = 67985", "Subtract 70673 from both sides: -21x = -2688", "Divide both sides by -21: x = 128"], "final_answer": "128", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 70673 = 22x + 67985", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70673, \"b\": 22, \"d\": 67985, \"x\": 128}", "seed": "8452137624680463054", "semantic_fingerprint": "sha256:6d51b76807c4e37fa9623af5877374a0da43a5df567ade004bb034f9e37d2f55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005363", "prompt": "Compute: 5883 - (7740 * 1996 - (-2782) / (-4587))", "solution_steps": ["Multiply: 7740 * 1996 = 15449040", "Divide: -2782 / (-4587) = 2782/4587", "Subtract: 15449040 - 2782/4587 = 70864743698/4587", "Subtract: 5883 - 70864743698/4587 = -70837758377/4587"], "final_answer": "-70837758377/4587", "answer_type": "rational", "kind": "expression", "math_text": "5883 - (7740 * 1996 - (-2782) / (-4587))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5883, \"b\": 7740, \"c\": 1996, \"d\": -2782, \"e\": -4587}", "seed": "489809883329838077", "semantic_fingerprint": "sha256:10121b3484cdb3a5a9bb9cf81916b0bb114be7dcb94f1dc212994fbc18f781f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005364", "prompt": "Calculate: 63672 / 4691 * (-3807 + 6790)", "solution_steps": ["Divide: 63672 / 4691 = 63672/4691", "Add: -3807 + 6790 = 2983", "Multiply: (63672/4691) * 2983 = 189933576/4691"], "final_answer": "189933576/4691", "answer_type": "rational", "kind": "expression", "math_text": "63672 / 4691 * (-3807 + 6790)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 63672, \"b\": 4691, \"c\": -3807, \"d\": 6790}", "seed": "15396117964018219543", "semantic_fingerprint": "sha256:af16a1402ae94c469a3e3be1f264cbff2082afdd355f95317ecdb2954cc5a8fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005365", "prompt": "What value of x satisfies -35(x - 98856) = 33x?", "solution_steps": ["Expand: -35x + 3459960 = 33x", "Subtract 33x from both sides: -68x + 3459960 = 0", "Subtract 3459960 from both sides: -68x = -3459960", "Divide both sides by -68: x = 864990/17"], "final_answer": "864990/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 98856) = 33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 98856, \"c\": 33}", "seed": "9203167768120070195", "semantic_fingerprint": "sha256:e007ad891fe61e0198e8d607402e66672fce92560602295122b84be27a48075c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005366", "prompt": "Compute: 1310 * 1237", "solution_steps": ["Multiply: 1310 * 1237 = 1620470"], "final_answer": "1620470", "answer_type": "integer", "kind": "expression", "math_text": "1310 * 1237", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1310, \"b\": 1237}", "seed": "35710206800263757", "semantic_fingerprint": "sha256:623bbcf624f26e5ec6e102b62c482e480610c33cbf68218158e1a946d45fc3c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005367", "prompt": "What is -6186 / (-1095) / (-1689)?", "solution_steps": ["Divide: -6186 / (-1095) = 2062/365", "Divide: (2062/365) / (-1689) = -2062/616485"], "final_answer": "-2062/616485", "answer_type": "rational", "kind": "expression", "math_text": "-6186 / (-1095) / (-1689)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6186, \"b\": -1095, \"c\": -1689}", "seed": "13751138764027521986", "semantic_fingerprint": "sha256:62983e29b551fdeab10cb59f12f79e47d4db0cee858c377ae1da5695f209956c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005368", "prompt": "Evaluate: 9370 - (-9511) * (-24045)", "solution_steps": ["Multiply: -9511 * (-24045) = 228691995", "Subtract: 9370 - 228691995 = -228682625"], "final_answer": "-228682625", "answer_type": "integer", "kind": "expression", "math_text": "9370 - (-9511) * (-24045)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9370, \"b\": -9511, \"c\": -24045}", "seed": "11120893619133485658", "semantic_fingerprint": "sha256:77de477611aa9e28ca95a87990e0021aba953b93d9b52988094b7c22ffbe52fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005369", "prompt": "What is -5610 / (-1285 / (-2821))?", "solution_steps": ["Divide: -1285 / (-2821) = 1285/2821", "Divide: -5610 / (1285/2821) = -3165162/257"], "final_answer": "-3165162/257", "answer_type": "rational", "kind": "expression", "math_text": "-5610 / (-1285 / (-2821))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5610, \"b\": -1285, \"c\": -2821}", "seed": "2788612645678713069", "semantic_fingerprint": "sha256:76f1f3b77272ca70bb91392450c0153aa2c9ce0dd1f83a478ce22065162904c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005370", "prompt": "Solve the equation 32(x - 84450) - 4262 = 31(x + 80585) for x.", "solution_steps": ["Expand: 32x - 2702400 - 4262 = 31(x + 80585)", "Expand: 32x - 2702400 - 4262 = 31x + 2498135", "Combine constants: 32x - 2706662 = 31x + 2498135", "Subtract 31x from both sides: x - 2706662 = 2498135", "Add 2706662 to both sides: x = 5204797"], "final_answer": "5204797", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 84450) - 4262 = 31(x + 80585)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 84450, \"c\": 4262, \"d\": 31, \"e\": 80585}", "seed": "4704823080385108876", "semantic_fingerprint": "sha256:f1bc8670bdfa3e6af272fcea16af030c0ca6a7e8d8de8567b88da63469924667", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005371", "prompt": "Evaluate: -9061 - 95118 - (-96632) + (-9232)", "solution_steps": ["Subtract: -9061 - 95118 = -104179", "Subtract: -104179 - (-96632) = -7547", "Add: -7547 + (-9232) = -16779"], "final_answer": "-16779", "answer_type": "integer", "kind": "expression", "math_text": "-9061 - 95118 - (-96632) + (-9232)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9061, \"b\": 95118, \"c\": -96632, \"d\": -9232}", "seed": "4576307506946202662", "semantic_fingerprint": "sha256:09782118313e2d84ecc6f37b77fb70390d277b55ba93fb71b120de7fd0a5052c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005372", "prompt": "Calculate: 9544 / (-69995 / 6952)", "solution_steps": ["Divide: -69995 / 6952 = -69995/6952", "Divide: 9544 / (-69995/6952) = -66349888/69995"], "final_answer": "-66349888/69995", "answer_type": "rational", "kind": "expression", "math_text": "9544 / (-69995 / 6952)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9544, \"b\": -69995, \"c\": 6952}", "seed": "3382920782206113205", "semantic_fingerprint": "sha256:e37a55c9d6c8d86ab7aaa20ab97e02b16bfc8b7a2b07c38436e7b6d6f363e0b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005373", "prompt": "What value of x satisfies x + 66061 = -27(x - 2315)?", "solution_steps": ["Expand: x + 66061 = -27x + 62505", "Add 27x to both sides: 28x + 66061 = 62505", "Subtract 66061 from both sides: 28x = -3556", "Divide both sides by 28: x = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 66061 = -27(x - 2315)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2315, \"d\": 66061, \"x\": -127}", "seed": "5695942819199241219", "semantic_fingerprint": "sha256:ef7111837e70f8ae82df427bfd7bc73327a84369e940b807fda838a404ea6ffe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005374", "prompt": "What value of x satisfies 30(x + 41654) = x?", "solution_steps": ["Expand: 30x + 1249620 = x", "Subtract x from both sides: 29x + 1249620 = 0", "Subtract 1249620 from both sides: 29x = -1249620", "Divide both sides by 29: x = -1249620/29"], "final_answer": "-1249620/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 41654) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 41654}", "seed": "2825805451854160425", "semantic_fingerprint": "sha256:979be6af42c40688e158f8988da225899e8c85ac4369a0cac009efd2a360864f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005375", "prompt": "What is 5644 + (-8951) / (-97663)?", "solution_steps": ["Divide: -8951 / (-97663) = 8951/97663", "Add: 5644 + 8951/97663 = 551218923/97663"], "final_answer": "551218923/97663", "answer_type": "rational", "kind": "expression", "math_text": "5644 + (-8951) / (-97663)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5644, \"b\": -8951, \"c\": -97663}", "seed": "816783987972250585", "semantic_fingerprint": "sha256:9656f19fb7b5a483dc8c11c58b7f0fd3a0605666a0b38bd1860267bb4afbb70d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005376", "prompt": "Compute: 22379 * (5243 + (-51934))", "solution_steps": ["Add: 5243 + (-51934) = -46691", "Multiply: 22379 * (-46691) = -1044897889"], "final_answer": "-1044897889", "answer_type": "integer", "kind": "expression", "math_text": "22379 * (5243 + (-51934))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22379, \"b\": 5243, \"c\": -51934}", "seed": "13721905818707529185", "semantic_fingerprint": "sha256:99a14e4cb090ac7082d9e52adab8d2d2df623c86edfae0bc5472221cf559ac83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005377", "prompt": "What is 55225 / 25096?", "solution_steps": ["Divide: 55225 / 25096 = 55225/25096"], "final_answer": "55225/25096", "answer_type": "rational", "kind": "expression", "math_text": "55225 / 25096", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55225, \"b\": 25096}", "seed": "7531574999342180331", "semantic_fingerprint": "sha256:f619aa7b3fe3023d08c56d3ba597bb9abc9021220a4e820a0d4301a8c4ddb96c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005378", "prompt": "Find x: 19x + 49421 = x + 52373", "solution_steps": ["Subtract x from both sides: 18x + 49421 = 52373", "Subtract 49421 from both sides: 18x = 2952", "Divide both sides by 18: x = 164"], "final_answer": "164", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 49421 = x + 52373", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 49421, \"d\": 52373, \"x\": 164}", "seed": "300606830979428742", "semantic_fingerprint": "sha256:a91b014fdcbf6dc5b549a23b3763a1a61da9ffe5edaccc82dff04221c661983f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005379", "prompt": "What is 82776 + (-9409) + 9865?", "solution_steps": ["Add: 82776 + (-9409) = 73367", "Add: 73367 + 9865 = 83232"], "final_answer": "83232", "answer_type": "integer", "kind": "expression", "math_text": "82776 + (-9409) + 9865", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82776, \"b\": -9409, \"c\": 9865}", "seed": "3121876031504090582", "semantic_fingerprint": "sha256:99041730cb8c6bf5c0a1705c6d058800b0604868fbfc54b98f604e08b5f822f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005380", "prompt": "Solve for x: 32(x - 1668) + 1778 = 37(x - 7838) + 90553", "solution_steps": ["Expand: 32x - 53376 + 1778 = 37(x - 7838) + 90553", "Expand: 32x - 53376 + 1778 = 37x - 290006 + 90553", "Combine constants: 32x - 51598 = 37x - 290006 + 90553", "Combine constants: 32x - 51598 = 37x - 199453", "Subtract 37x from both sides: -5x - 51598 = -199453", "Add 51598 to both sides: -5x = -147855", "Divide both sides by -5: x = 29571"], "final_answer": "29571", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 1668) + 1778 = 37(x - 7838) + 90553", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1668, \"c\": 1778, \"d\": 37, \"e\": 7838, \"f\": 90553}", "seed": "505716021484190587", "semantic_fingerprint": "sha256:c3af742b9cec2696d874e5203bc4942c58d3bf9a8808bd0aa9a572b9fc1d3bb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005381", "prompt": "Solve the equation -34(x + 72092) - 45925 = x for x.", "solution_steps": ["Expand: -34x - 2451128 - 45925 = x", "Combine constants: -34x - 2497053 = x", "Subtract x from both sides: -35x - 2497053 = 0", "Add 2497053 to both sides: -35x = 2497053", "Divide both sides by -35: x = -2497053/35"], "final_answer": "-2497053/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x + 72092) - 45925 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 72092, \"c\": 45925}", "seed": "5145441608020433708", "semantic_fingerprint": "sha256:c319720892eb3a8899ab0f339d6dabe7a5194530ca3b832f0ceef1df3228012c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005382", "prompt": "What value of x satisfies x - 52785 = 36(x - 1650)?", "solution_steps": ["Expand: x - 52785 = 36x - 59400", "Subtract 36x from both sides: -35x - 52785 = -59400", "Add 52785 to both sides: -35x = -6615", "Divide both sides by -35: x = 189"], "final_answer": "189", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 52785 = 36(x - 1650)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1650, \"d\": -52785, \"x\": 189}", "seed": "17320952953837944930", "semantic_fingerprint": "sha256:af189b8b63d31433d8d5e2ee632ec92d697e5a6fc76e6ec730f4b9c3e3f17586", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005383", "prompt": "Calculate: 2379 * (-31824) * (-6656)", "solution_steps": ["Multiply: 2379 * (-31824) = -75709296", "Multiply: -75709296 * (-6656) = 503921074176"], "final_answer": "503921074176", "answer_type": "integer", "kind": "expression", "math_text": "2379 * (-31824) * (-6656)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2379, \"b\": -31824, \"c\": -6656}", "seed": "7781794625569201049", "semantic_fingerprint": "sha256:0a47e6faf4a309aa92609e76f3c081e6414948d010b6ab78abebb077ed050e83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005384", "prompt": "Find x: 14(x + 40424) + 1613 = 27x + 53732", "solution_steps": ["Expand: 14x + 565936 + 1613 = 27x + 53732", "Combine constants: 14x + 567549 = 27x + 53732", "Subtract 27x from both sides: -13x + 567549 = 53732", "Subtract 567549 from both sides: -13x = -513817", "Divide both sides by -13: x = 513817/13"], "final_answer": "513817/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 40424) + 1613 = 27x + 53732", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 40424, \"c\": 1613, \"d\": 27, \"e\": 53732}", "seed": "1024289810874694264", "semantic_fingerprint": "sha256:5adce396d8119a5e1d436eae4b5d4ed23adc4d1f7aa0f8c885fd150ccb30926c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005385", "prompt": "Find x: 14(x + 2151) - 27966 = 26x", "solution_steps": ["Expand: 14x + 30114 - 27966 = 26x", "Combine constants: 14x + 2148 = 26x", "Subtract 26x from both sides: -12x + 2148 = 0", "Subtract 2148 from both sides: -12x = -2148", "Divide both sides by -12: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x + 2151) - 27966 = 26x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2151, \"c\": 26, \"e\": -27966, \"x\": 179}", "seed": "4712976159270050570", "semantic_fingerprint": "sha256:3139736819de68f9840ceea36bd3fa0695ad74a78924acd19af781fe315cc1b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005386", "prompt": "Find x: 18(x + 3667) = 25(x - 45879)", "solution_steps": ["Expand: 18x + 66006 = 25(x - 45879)", "Expand: 18x + 66006 = 25x - 1146975", "Subtract 25x from both sides: -7x + 66006 = -1146975", "Subtract 66006 from both sides: -7x = -1212981", "Divide both sides by -7: x = 173283"], "final_answer": "173283", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 3667) = 25(x - 45879)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3667, \"c\": 25, \"d\": 45879}", "seed": "8950541224878164336", "semantic_fingerprint": "sha256:b9906c491675be34562d5dda9e247efd6f44f15cf6a970491fccf9a2791ae4d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005387", "prompt": "Solve the equation -16(x - 4695) = x + 72264 for x.", "solution_steps": ["Expand: -16x + 75120 = x + 72264", "Subtract x from both sides: -17x + 75120 = 72264", "Subtract 75120 from both sides: -17x = -2856", "Divide both sides by -17: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16(x - 4695) = x + 72264", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 4695, \"d\": 72264, \"x\": 168}", "seed": "5160011201367243381", "semantic_fingerprint": "sha256:491b25a376d84999df1dead14ed98a41db23c06570c5719aaffcf0500c8c90e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005388", "prompt": "What value of x satisfies 35x + 7835 = 33x + 7671?", "solution_steps": ["Subtract 33x from both sides: 2x + 7835 = 7671", "Subtract 7835 from both sides: 2x = -164", "Divide both sides by 2: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 7835 = 33x + 7671", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7835, \"c\": 33, \"e\": 7671, \"x\": -82}", "seed": "17964431205922232817", "semantic_fingerprint": "sha256:c3a72fcf2cdced0931bf532b7fbbd815637f2aa3834185a88a6ee0518134fbee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005389", "prompt": "Compute: 48710 - (-11559)", "solution_steps": ["Subtract: 48710 - (-11559) = 60269"], "final_answer": "60269", "answer_type": "integer", "kind": "expression", "math_text": "48710 - (-11559)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48710, \"b\": -11559}", "seed": "136942451579579495", "semantic_fingerprint": "sha256:6bb519324b261b3ce22c89c343b2fa31cdac23989696dafbc266e0043bbf186e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005390", "prompt": "What is (50970 + 1249) / (-30242)?", "solution_steps": ["Add: 50970 + 1249 = 52219", "Divide: 52219 / (-30242) = -52219/30242"], "final_answer": "-52219/30242", "answer_type": "rational", "kind": "expression", "math_text": "(50970 + 1249) / (-30242)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50970, \"b\": 1249, \"c\": -30242}", "seed": "18318044669517754391", "semantic_fingerprint": "sha256:a814843ea387b8a26ba75e87329c8f60f3770be62ee408af2c8be56de5f751a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005391", "prompt": "Calculate: (5180 - 38260) / 7206", "solution_steps": ["Subtract: 5180 - 38260 = -33080", "Divide: -33080 / 7206 = -16540/3603"], "final_answer": "-16540/3603", "answer_type": "rational", "kind": "expression", "math_text": "(5180 - 38260) / 7206", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5180, \"b\": 38260, \"c\": 7206}", "seed": "9569444899345508382", "semantic_fingerprint": "sha256:5a2235e64be84f757715b0dd22bf99cb0168d7519e4922e38b905a02e60e575c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005392", "prompt": "Compute: 8864 - 9316 * (-4251 * (-4438 / (-1673)))", "solution_steps": ["Divide: -4438 / (-1673) = 634/239", "Multiply: -4251 * (634/239) = -2695134/239", "Multiply: 9316 * (-2695134/239) = -25107868344/239", "Subtract: 8864 - (-25107868344/239) = 25109986840/239"], "final_answer": "25109986840/239", "answer_type": "rational", "kind": "expression", "math_text": "8864 - 9316 * (-4251 * (-4438 / (-1673)))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (* n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8864, \"b\": 9316, \"c\": -4251, \"d\": -4438, \"e\": -1673}", "seed": "6213900329211988626", "semantic_fingerprint": "sha256:10f1b1db238e3e433cb2b32b40605969356e2adf5ee5baa44f1f8f75504282aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005393", "prompt": "Calculate: 2017 * (6099 - (-3592))", "solution_steps": ["Subtract: 6099 - (-3592) = 9691", "Multiply: 2017 * 9691 = 19546747"], "final_answer": "19546747", "answer_type": "integer", "kind": "expression", "math_text": "2017 * (6099 - (-3592))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2017, \"b\": 6099, \"c\": -3592}", "seed": "8319262036336426619", "semantic_fingerprint": "sha256:113e96afb3959a5363253f573393321ac97b5bb5b0ed833081754d839f3f8a00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005394", "prompt": "Find x: 22x - 51465 = -48319", "solution_steps": ["Add 51465 to both sides: 22x = 3146", "Divide both sides by 22: x = 143"], "final_answer": "143", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x - 51465 = -48319", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 51465, \"d\": -48319, \"x\": 143}", "seed": "2910125552740956339", "semantic_fingerprint": "sha256:b5a8cdcc913c5c53e3a90847ae8dcf8c66e87badcd3bd04338bbe7aec53bfb05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005395", "prompt": "Evaluate: -72401 * (-57572 + (-64633)) - (-2960)", "solution_steps": ["Add: -57572 + (-64633) = -122205", "Multiply: -72401 * (-122205) = 8847764205", "Subtract: 8847764205 - (-2960) = 8847767165"], "final_answer": "8847767165", "answer_type": "integer", "kind": "expression", "math_text": "-72401 * (-57572 + (-64633)) - (-2960)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -72401, \"b\": -57572, \"c\": -64633, \"d\": -2960}", "seed": "125879220371956262", "semantic_fingerprint": "sha256:f09e6254931b914f2a919a2a7e2a17e2b70c10f1821ad2ad9fc6c87c4fa3c3c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005396", "prompt": "Solve the equation -40(x + 6243) = 19(x - 2285) for x.", "solution_steps": ["Expand: -40x - 249720 = 19(x - 2285)", "Expand: -40x - 249720 = 19x - 43415", "Subtract 19x from both sides: -59x - 249720 = -43415", "Add 249720 to both sides: -59x = 206305", "Divide both sides by -59: x = -206305/59"], "final_answer": "-206305/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 6243) = 19(x - 2285)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 6243, \"c\": 19, \"d\": 2285}", "seed": "11738509946686520687", "semantic_fingerprint": "sha256:e1e9becaa7324a52f2895a1b5626691687d93e8458204f3fea2d012eec2baa3f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005397", "prompt": "Solve the equation 17(x - 5065) = -33(x + 3601) + 27578 for x.", "solution_steps": ["Expand: 17x - 86105 = -33(x + 3601) + 27578", "Expand: 17x - 86105 = -33x - 118833 + 27578", "Combine constants: 17x - 86105 = -33x - 91255", "Add 33x to both sides: 50x - 86105 = -91255", "Add 86105 to both sides: 50x = -5150", "Divide both sides by 50: x = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 5065) = -33(x + 3601) + 27578", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5065, \"c\": -33, \"d\": 3601, \"f\": 27578, \"x\": -103}", "seed": "12197904915941254428", "semantic_fingerprint": "sha256:a8306fc1bbd4b8d932396cbfaef45c061dee5c7411d1284d2cfb48ad0abbb15f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005398", "prompt": "Evaluate: -6574 * (-5422) / 1201 - 4755", "solution_steps": ["Multiply: -6574 * (-5422) = 35644228", "Divide: 35644228 / 1201 = 35644228/1201", "Subtract: 35644228/1201 - 4755 = 29933473/1201"], "final_answer": "29933473/1201", "answer_type": "rational", "kind": "expression", "math_text": "-6574 * (-5422) / 1201 - 4755", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6574, \"b\": -5422, \"c\": 1201, \"d\": 4755}", "seed": "2930642949937965184", "semantic_fingerprint": "sha256:921389f4d2fda0773190c512429204e7ef4b62df017321f9f68e04aecd131252", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005399", "prompt": "Calculate: -5486 - (-69368 * 9824 - 33779)", "solution_steps": ["Multiply: -69368 * 9824 = -681471232", "Subtract: -681471232 - 33779 = -681505011", "Subtract: -5486 - (-681505011) = 681499525"], "final_answer": "681499525", "answer_type": "integer", "kind": "expression", "math_text": "-5486 - (-69368 * 9824 - 33779)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5486, \"b\": -69368, \"c\": 9824, \"d\": 33779}", "seed": "597042652365132746", "semantic_fingerprint": "sha256:2e2ed7ae9cd47a9f6adc4fcb79c3dc3dd09e2740839c518c23c0772e7415c934", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005400", "prompt": "What is -2304 + (-7024) / (-6283) + 60863?", "solution_steps": ["Divide: -7024 / (-6283) = 7024/6283", "Add: -2304 + 7024/6283 = -14469008/6283", "Add: -14469008/6283 + 60863 = 367933221/6283"], "final_answer": "367933221/6283", "answer_type": "rational", "kind": "expression", "math_text": "-2304 + (-7024) / (-6283) + 60863", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2304, \"b\": -7024, \"c\": -6283, \"d\": 60863}", "seed": "1011850726828719810", "semantic_fingerprint": "sha256:4f8d7e8c8bd11e2fac3cf1daa3cd1be60b3a8236a3c80930cb8b0e2c90f75d10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005401", "prompt": "Calculate: (-35125 - 6817) / 9472", "solution_steps": ["Subtract: -35125 - 6817 = -41942", "Divide: -41942 / 9472 = -20971/4736"], "final_answer": "-20971/4736", "answer_type": "rational", "kind": "expression", "math_text": "(-35125 - 6817) / 9472", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35125, \"b\": 6817, \"c\": 9472}", "seed": "4313303474408946743", "semantic_fingerprint": "sha256:08cf0a324204691c8c43d227ee40623de037e6dac6589a5341c677bf8cfa2dd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005402", "prompt": "Solve the equation x = -31(x + 4130) for x.", "solution_steps": ["Expand: x = -31x - 128030", "Add 31x to both sides: 32x = -128030", "Divide both sides by 32: x = -64015/16"], "final_answer": "-64015/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -31(x + 4130)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 4130}", "seed": "68499550730569486", "semantic_fingerprint": "sha256:223d58ccf2746869f4a889ae05a3fe07380a899ce709d0f820f089fd873f3ff6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005403", "prompt": "What value of x satisfies -24x - 84690 = 18(x - 42986) - 4577?", "solution_steps": ["Expand: -24x - 84690 = 18x - 773748 - 4577", "Combine constants: -24x - 84690 = 18x - 778325", "Subtract 18x from both sides: -42x - 84690 = -778325", "Add 84690 to both sides: -42x = -693635", "Divide both sides by -42: x = 693635/42"], "final_answer": "693635/42", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x - 84690 = 18(x - 42986) - 4577", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 84690, \"c\": 18, \"d\": 42986, \"e\": 4577}", "seed": "1482256135514623216", "semantic_fingerprint": "sha256:1208bb3df467738ed92466917de807677cf17efbe273e02b2662fe27cd5cc75d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005404", "prompt": "Compute: -2441 - (-43362) + 45115 / (-29353)", "solution_steps": ["Subtract: -2441 - (-43362) = 40921", "Divide: 45115 / (-29353) = -45115/29353", "Add: 40921 + (-45115/29353) = 1201108998/29353"], "final_answer": "1201108998/29353", "answer_type": "rational", "kind": "expression", "math_text": "-2441 - (-43362) + 45115 / (-29353)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2441, \"b\": -43362, \"c\": 45115, \"d\": -29353}", "seed": "2162207441837515703", "semantic_fingerprint": "sha256:5d884959f4dc7577ee989e0dfc723ccb92038201f1e81c3d8b601509bd5067d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005405", "prompt": "Compute: 96597 / (-3128) - 3738", "solution_steps": ["Divide: 96597 / (-3128) = -96597/3128", "Subtract: -96597/3128 - 3738 = -11789061/3128"], "final_answer": "-11789061/3128", "answer_type": "rational", "kind": "expression", "math_text": "96597 / (-3128) - 3738", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96597, \"b\": -3128, \"c\": 3738}", "seed": "4584519571934561166", "semantic_fingerprint": "sha256:1593e420bfb66f3d66179894bb7570f1f801edbe1e148c9bcb4c1e729be068ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005406", "prompt": "Compute: 8958 - (1671 + 5970)", "solution_steps": ["Add: 1671 + 5970 = 7641", "Subtract: 8958 - 7641 = 1317"], "final_answer": "1317", "answer_type": "integer", "kind": "expression", "math_text": "8958 - (1671 + 5970)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8958, \"b\": 1671, \"c\": 5970}", "seed": "16000070237578513413", "semantic_fingerprint": "sha256:52e3f0e4217c5966d146654b1d7bb490d56735b75c60f9e986b56f585b8f71b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005407", "prompt": "What value of x satisfies 38x - 33668 = 25(x - 93230) + 8286?", "solution_steps": ["Expand: 38x - 33668 = 25x - 2330750 + 8286", "Combine constants: 38x - 33668 = 25x - 2322464", "Subtract 25x from both sides: 13x - 33668 = -2322464", "Add 33668 to both sides: 13x = -2288796", "Divide both sides by 13: x = -2288796/13"], "final_answer": "-2288796/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x - 33668 = 25(x - 93230) + 8286", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 33668, \"c\": 25, \"d\": 93230, \"e\": 8286}", "seed": "15499740036843634477", "semantic_fingerprint": "sha256:46f53f246904b4dd69cfd66c166ca11afb5f46fac273984705cc64fe6e6c9345", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005408", "prompt": "Find x: -22(x + 3704) = x + 63297", "solution_steps": ["Expand: -22x - 81488 = x + 63297", "Subtract x from both sides: -23x - 81488 = 63297", "Add 81488 to both sides: -23x = 144785", "Divide both sides by -23: x = -6295"], "final_answer": "-6295", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22(x + 3704) = x + 63297", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 3704, \"c\": 63297}", "seed": "13896045248675689306", "semantic_fingerprint": "sha256:d23fc7fac64720302cd4fac32e9bb4ad4185d168df9d9ecad45dc54ea0217295", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005409", "prompt": "Calculate: (-4542 + 47419) / 2521", "solution_steps": ["Add: -4542 + 47419 = 42877", "Divide: 42877 / 2521 = 42877/2521"], "final_answer": "42877/2521", "answer_type": "rational", "kind": "expression", "math_text": "(-4542 + 47419) / 2521", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4542, \"b\": 47419, \"c\": 2521}", "seed": "5410289967764283954", "semantic_fingerprint": "sha256:55e748c96c1d5de86d200cf78940d45697e128000612047b44eeddf9948f44ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005410", "prompt": "What is -4554 + (-19487) * 5554 / (-7743)?", "solution_steps": ["Multiply: -19487 * 5554 = -108230798", "Divide: -108230798 / (-7743) = 108230798/7743", "Add: -4554 + 108230798/7743 = 72969176/7743"], "final_answer": "72969176/7743", "answer_type": "rational", "kind": "expression", "math_text": "-4554 + (-19487) * 5554 / (-7743)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4554, \"b\": -19487, \"c\": 5554, \"d\": -7743}", "seed": "3420699902103796360", "semantic_fingerprint": "sha256:4be63a3d3209d7601366f87c62b8838dc2ae6a97982413f9b819a9aa2e98790c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005411", "prompt": "Solve for x: x + 93360 = 26x + 49808", "solution_steps": ["Subtract 26x from both sides: -25x + 93360 = 49808", "Subtract 93360 from both sides: -25x = -43552", "Divide both sides by -25: x = 43552/25"], "final_answer": "43552/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 93360 = 26x + 49808", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93360, \"b\": 26, \"c\": 49808}", "seed": "17896869535312399232", "semantic_fingerprint": "sha256:e33639724e9339199afa479c5a07d2840332ba3bdb689dd366b8f6fd9de2aee9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005412", "prompt": "Compute: 3577 - 40447 - (-66309)", "solution_steps": ["Subtract: 3577 - 40447 = -36870", "Subtract: -36870 - (-66309) = 29439"], "final_answer": "29439", "answer_type": "integer", "kind": "expression", "math_text": "3577 - 40447 - (-66309)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3577, \"b\": 40447, \"c\": -66309}", "seed": "15405391088331312466", "semantic_fingerprint": "sha256:065cd5e8498fcbdd6b801691046d54d28e246b06952db3c3dbf7b615f31760a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005413", "prompt": "What value of x satisfies 38(x - 3730) = x?", "solution_steps": ["Expand: 38x - 141740 = x", "Subtract x from both sides: 37x - 141740 = 0", "Add 141740 to both sides: 37x = 141740", "Divide both sides by 37: x = 141740/37"], "final_answer": "141740/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 3730) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 3730}", "seed": "17221922214987405644", "semantic_fingerprint": "sha256:38e3395604a11e0cd096f0665ae29fdb266e7debc95696bf98cac9d4113da2b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005414", "prompt": "Evaluate: (5207 - 7594 - 53086) * (-47515) / (-6486)", "solution_steps": ["Subtract: 5207 - 7594 = -2387", "Subtract: -2387 - 53086 = -55473", "Multiply: -55473 * (-47515) = 2635799595", "Divide: 2635799595 / (-6486) = -878599865/2162"], "final_answer": "-878599865/2162", "answer_type": "rational", "kind": "expression", "math_text": "(5207 - 7594 - 53086) * (-47515) / (-6486)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5207, \"b\": 7594, \"c\": 53086, \"d\": -47515, \"e\": -6486}", "seed": "5689490516899577549", "semantic_fingerprint": "sha256:f5f165fc4c4a68b5f8f86ef2443b77c55ff85456e5f7cb4764aaceae1e4c7571", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005415", "prompt": "What is -4569 - 7780 * (2556 * (-8230) + (-4640))?", "solution_steps": ["Multiply: 2556 * (-8230) = -21035880", "Add: -21035880 + (-4640) = -21040520", "Multiply: 7780 * (-21040520) = -163695245600", "Subtract: -4569 - (-163695245600) = 163695241031"], "final_answer": "163695241031", "answer_type": "integer", "kind": "expression", "math_text": "-4569 - 7780 * (2556 * (-8230) + (-4640))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (+ (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4569, \"b\": 7780, \"c\": 2556, \"d\": -8230, \"e\": -4640}", "seed": "7978675286092267872", "semantic_fingerprint": "sha256:9580d98d678e5862262f6ebea7e5d226eb72eda75159f4973451a9bb21011c3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005416", "prompt": "What is 4967 - (-3538)?", "solution_steps": ["Subtract: 4967 - (-3538) = 8505"], "final_answer": "8505", "answer_type": "integer", "kind": "expression", "math_text": "4967 - (-3538)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4967, \"b\": -3538}", "seed": "15936460886392098492", "semantic_fingerprint": "sha256:35bb755bb082811e2a6985b1b1ffb808e8e78120958f55148572d709516935b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005417", "prompt": "Evaluate: -52257 * (35285 + 7701)", "solution_steps": ["Add: 35285 + 7701 = 42986", "Multiply: -52257 * 42986 = -2246319402"], "final_answer": "-2246319402", "answer_type": "integer", "kind": "expression", "math_text": "-52257 * (35285 + 7701)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52257, \"b\": 35285, \"c\": 7701}", "seed": "12835124567350315193", "semantic_fingerprint": "sha256:d751525643b8d7ff8986deedcd7c15a313c9197c3a4b3660d89a3cc12bc10cfc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005418", "prompt": "Calculate: -8807 - (-6618)", "solution_steps": ["Subtract: -8807 - (-6618) = -2189"], "final_answer": "-2189", "answer_type": "integer", "kind": "expression", "math_text": "-8807 - (-6618)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8807, \"b\": -6618}", "seed": "436131853647902937", "semantic_fingerprint": "sha256:6a5238b7b38bd0aa3eb09ef4d94d56c3bb828fb00683d6f32021919118e61cce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005419", "prompt": "Solve for x: 16(x + 5059) = 32x", "solution_steps": ["Expand: 16x + 80944 = 32x", "Subtract 32x from both sides: -16x + 80944 = 0", "Subtract 80944 from both sides: -16x = -80944", "Divide both sides by -16: x = 5059"], "final_answer": "5059", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 5059) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5059, \"c\": 32}", "seed": "8918417415916292195", "semantic_fingerprint": "sha256:f9a997da6a2b476f678a2737792eeb28a58b9041516a8a518614211a87f9ff1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005420", "prompt": "Solve the equation 17x + 1044 = x + 1668 for x.", "solution_steps": ["Subtract x from both sides: 16x + 1044 = 1668", "Subtract 1044 from both sides: 16x = 624", "Divide both sides by 16: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 1044 = x + 1668", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1044, \"d\": 1668, \"x\": 39}", "seed": "849172622749812155", "semantic_fingerprint": "sha256:3f1ace33bf9d381d242f48c4569643710d60c79626137acc087f3a7445f95dd4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005421", "prompt": "Evaluate: -8604 + (-8668)", "solution_steps": ["Add: -8604 + (-8668) = -17272"], "final_answer": "-17272", "answer_type": "integer", "kind": "expression", "math_text": "-8604 + (-8668)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8604, \"b\": -8668}", "seed": "2964099181849266805", "semantic_fingerprint": "sha256:f97ae1f84de120b42ac2f5ee0d8614dffe4237a3ab266f9fe9de7d77ecabb57c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005422", "prompt": "Solve the equation -21(x + 3917) - 6586 = 27x for x.", "solution_steps": ["Expand: -21x - 82257 - 6586 = 27x", "Combine constants: -21x - 88843 = 27x", "Subtract 27x from both sides: -48x - 88843 = 0", "Add 88843 to both sides: -48x = 88843", "Divide both sides by -48: x = -88843/48"], "final_answer": "-88843/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x + 3917) - 6586 = 27x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 3917, \"c\": 6586, \"d\": 27}", "seed": "4982051775294301472", "semantic_fingerprint": "sha256:10a3dd5b8738010ee6ec3583879941bf31ca46c4981be1534f55f66115d8ede0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005423", "prompt": "Compute: -11505 * (60753 + 49022)", "solution_steps": ["Add: 60753 + 49022 = 109775", "Multiply: -11505 * 109775 = -1262961375"], "final_answer": "-1262961375", "answer_type": "integer", "kind": "expression", "math_text": "-11505 * (60753 + 49022)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11505, \"b\": 60753, \"c\": 49022}", "seed": "3915129502131215145", "semantic_fingerprint": "sha256:94acd6da4a4077037ed53dcd9c749c619481a2a60d9d0463754dfc9992144bd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005424", "prompt": "Solve for x: 26x + 3461 = 6607", "solution_steps": ["Subtract 3461 from both sides: 26x = 3146", "Divide both sides by 26: x = 121"], "final_answer": "121", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 3461 = 6607", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 3461, \"d\": 6607, \"x\": 121}", "seed": "8636872681788695517", "semantic_fingerprint": "sha256:368ef7286bef5b608d7f335a8b9f5e8689529833b95b5020f292aec814d2df7d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005425", "prompt": "Find x: x - 68607 = 26x - 73032", "solution_steps": ["Subtract 26x from both sides: -25x - 68607 = -73032", "Add 68607 to both sides: -25x = -4425", "Divide both sides by -25: x = 177"], "final_answer": "177", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 68607 = 26x - 73032", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68607, \"b\": 26, \"d\": -73032, \"x\": 177}", "seed": "7600489585529455432", "semantic_fingerprint": "sha256:7224e7ed5a6d9ca1a9a3e1d279ac923b4be8d65c5091e786f6735bf8c2c52842", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005426", "prompt": "What is 2948 / 6063 + 3130 - (-7596) - 1218?", "solution_steps": ["Divide: 2948 / 6063 = 2948/6063", "Add: 2948/6063 + 3130 = 18980138/6063", "Subtract: 18980138/6063 - (-7596) = 65034686/6063", "Subtract: 65034686/6063 - 1218 = 57649952/6063"], "final_answer": "57649952/6063", "answer_type": "rational", "kind": "expression", "math_text": "2948 / 6063 + 3130 - (-7596) - 1218", "variable": null, "family": "expression_4op", "shape": "(- (- (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2948, \"b\": 6063, \"c\": 3130, \"d\": -7596, \"e\": 1218}", "seed": "3447117137768002972", "semantic_fingerprint": "sha256:45639e7b8ac5261a6cf918cc264818fb0ae6253a166da856d11361405f1ba327", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005427", "prompt": "Calculate: 4293 / (-6430) + (-7459)", "solution_steps": ["Divide: 4293 / (-6430) = -4293/6430", "Add: -4293/6430 + (-7459) = -47965663/6430"], "final_answer": "-47965663/6430", "answer_type": "rational", "kind": "expression", "math_text": "4293 / (-6430) + (-7459)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4293, \"b\": -6430, \"c\": -7459}", "seed": "15870319467254735980", "semantic_fingerprint": "sha256:0e0520aac4617d0b761214ac130f31c2699d14f0cd64cbe5c19b2fb95541878a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005428", "prompt": "Compute: -24065 / (-8992 / 7814)", "solution_steps": ["Divide: -8992 / 7814 = -4496/3907", "Divide: -24065 / (-4496/3907) = 94021955/4496"], "final_answer": "94021955/4496", "answer_type": "rational", "kind": "expression", "math_text": "-24065 / (-8992 / 7814)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24065, \"b\": -8992, \"c\": 7814}", "seed": "15984912336115263756", "semantic_fingerprint": "sha256:686bd7573fa7545586f4a1ed564c22d70b4dd71ffc61414a279a88b021ddb042", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005429", "prompt": "Compute: -3696 + 4536 * (-5161)", "solution_steps": ["Multiply: 4536 * (-5161) = -23410296", "Add: -3696 + (-23410296) = -23413992"], "final_answer": "-23413992", "answer_type": "integer", "kind": "expression", "math_text": "-3696 + 4536 * (-5161)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3696, \"b\": 4536, \"c\": -5161}", "seed": "14048642848025189491", "semantic_fingerprint": "sha256:1de2878a18f2a98343ba099d00f41aeea53727e53a5b75ea84cbf98365ea5b5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005430", "prompt": "Find x: x = 27(x + 1272) - 38400", "solution_steps": ["Expand: x = 27x + 34344 - 38400", "Combine constants: x = 27x - 4056", "Subtract 27x from both sides: -26x = -4056", "Divide both sides by -26: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 27(x + 1272) - 38400", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1272, \"d\": -38400, \"x\": 156}", "seed": "5683163017988600619", "semantic_fingerprint": "sha256:a8a5dd33c0fca514d76bb46894d76eb8d9d28ef6d3dcc2d664d2e407331e1056", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005431", "prompt": "Evaluate: 5552 - (-6766) / ((3535 - 1837) / (-85026 - 5173))", "solution_steps": ["Subtract: 3535 - 1837 = 1698", "Subtract: -85026 - 5173 = -90199", "Divide: 1698 / (-90199) = -1698/90199", "Divide: -6766 / (-1698/90199) = 305143217/849", "Subtract: 5552 - 305143217/849 = -300429569/849"], "final_answer": "-300429569/849", "answer_type": "rational", "kind": "expression", "math_text": "5552 - (-6766) / ((3535 - 1837) / (-85026 - 5173))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (/ (- n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5552, \"b\": -6766, \"c\": 3535, \"d\": 1837, \"e\": -85026, \"f\": 5173}", "seed": "7307830037888320267", "semantic_fingerprint": "sha256:62a459aec18b36dee5125703d8497f21153f678434ba4109753c75a7ba617c44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005432", "prompt": "What is -4549 / (75395 + (-7624))?", "solution_steps": ["Add: 75395 + (-7624) = 67771", "Divide: -4549 / 67771 = -4549/67771"], "final_answer": "-4549/67771", "answer_type": "rational", "kind": "expression", "math_text": "-4549 / (75395 + (-7624))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4549, \"b\": 75395, \"c\": -7624}", "seed": "11885242128343988201", "semantic_fingerprint": "sha256:0ba9a2c0168931d25db445497f15098853d267ad1018a88a867553f768f8f4cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005433", "prompt": "What is -83588 / (9677 - (4592 - (-9752))) + 55426?", "solution_steps": ["Subtract: 4592 - (-9752) = 14344", "Subtract: 9677 - 14344 = -4667", "Divide: -83588 / (-4667) = 83588/4667", "Add: 83588/4667 + 55426 = 258756730/4667"], "final_answer": "258756730/4667", "answer_type": "rational", "kind": "expression", "math_text": "-83588 / (9677 - (4592 - (-9752))) + 55426", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -83588, \"b\": 9677, \"c\": 4592, \"d\": -9752, \"e\": 55426}", "seed": "1822738214279215263", "semantic_fingerprint": "sha256:56b3bc6696f987ca7a4770064ac23e6c7d60829c1efac0dcbcc4be8413b82525", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005434", "prompt": "Calculate: (75288 - 16921) / (-86714 - (5652 + (-11833)))", "solution_steps": ["Subtract: 75288 - 16921 = 58367", "Add: 5652 + (-11833) = -6181", "Subtract: -86714 - (-6181) = -80533", "Divide: 58367 / (-80533) = -58367/80533"], "final_answer": "-58367/80533", "answer_type": "rational", "kind": "expression", "math_text": "(75288 - 16921) / (-86714 - (5652 + (-11833)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 75288, \"b\": 16921, \"c\": -86714, \"d\": 5652, \"e\": -11833}", "seed": "4083462497625670768", "semantic_fingerprint": "sha256:4495a6e88143ace39720c56ea3be37d4b94f382a7deb406956fc7067753a0b48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005435", "prompt": "What is -2266 / (-90861) - 1095 + 9319?", "solution_steps": ["Divide: -2266 / (-90861) = 2266/90861", "Subtract: 2266/90861 - 1095 = -99490529/90861", "Add: -99490529/90861 + 9319 = 747243130/90861"], "final_answer": "747243130/90861", "answer_type": "rational", "kind": "expression", "math_text": "-2266 / (-90861) - 1095 + 9319", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2266, \"b\": -90861, \"c\": 1095, \"d\": 9319}", "seed": "7498461116572823664", "semantic_fingerprint": "sha256:e2b76c0980235f7a7f0574971d2fae0e7cef17af2ab537124bcf702e2655a7b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005436", "prompt": "Compute: 46216 - 1421", "solution_steps": ["Subtract: 46216 - 1421 = 44795"], "final_answer": "44795", "answer_type": "integer", "kind": "expression", "math_text": "46216 - 1421", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46216, \"b\": 1421}", "seed": "1562040695474416430", "semantic_fingerprint": "sha256:b3b108125b004c7cee11861ac42dcd84611b15feb3fb2f3531b0c70d7b43475a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005437", "prompt": "Evaluate: -66572 / 7645", "solution_steps": ["Divide: -66572 / 7645 = -6052/695"], "final_answer": "-6052/695", "answer_type": "rational", "kind": "expression", "math_text": "-66572 / 7645", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -66572, \"b\": 7645}", "seed": "16229725414097198207", "semantic_fingerprint": "sha256:a7ad37600e7d54a247bd66259942dc157d31a30cfb5dc56c8d86e63a4252bfae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005438", "prompt": "Evaluate: 3634 + (-95686) + (-4658) * 3763 * (-5613)", "solution_steps": ["Add: 3634 + (-95686) = -92052", "Multiply: -4658 * 3763 = -17528054", "Multiply: -17528054 * (-5613) = 98384967102", "Add: -92052 + 98384967102 = 98384875050"], "final_answer": "98384875050", "answer_type": "integer", "kind": "expression", "math_text": "3634 + (-95686) + (-4658) * 3763 * (-5613)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3634, \"b\": -95686, \"c\": -4658, \"d\": 3763, \"e\": -5613}", "seed": "278610562511799461", "semantic_fingerprint": "sha256:aff177fdeba5c00920b1d275d74d7d99c2222522ca8cf58bd78b6631f37c1016", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005439", "prompt": "Compute: 19403 + 8499 + (-4903) * 2795", "solution_steps": ["Add: 19403 + 8499 = 27902", "Multiply: -4903 * 2795 = -13703885", "Add: 27902 + (-13703885) = -13675983"], "final_answer": "-13675983", "answer_type": "integer", "kind": "expression", "math_text": "19403 + 8499 + (-4903) * 2795", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19403, \"b\": 8499, \"c\": -4903, \"d\": 2795}", "seed": "16394529772717597738", "semantic_fingerprint": "sha256:4bb13a2b44b840309a3eb9161236873bd166bb56dc954b474d7e96966e7c29c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005440", "prompt": "Evaluate: -72332 - 46240 * 5665 / 46569", "solution_steps": ["Multiply: 46240 * 5665 = 261949600", "Divide: 261949600 / 46569 = 261949600/46569", "Subtract: -72332 - 261949600/46569 = -3630378508/46569"], "final_answer": "-3630378508/46569", "answer_type": "rational", "kind": "expression", "math_text": "-72332 - 46240 * 5665 / 46569", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -72332, \"b\": 46240, \"c\": 5665, \"d\": 46569}", "seed": "3633149215516177202", "semantic_fingerprint": "sha256:47247892d7c0c94a5ebc1234cfb5dd0c1833c5e4a140a0a9d149dcfd6cf64fe0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005441", "prompt": "Evaluate: -6948 / 9681", "solution_steps": ["Divide: -6948 / 9681 = -2316/3227"], "final_answer": "-2316/3227", "answer_type": "rational", "kind": "expression", "math_text": "-6948 / 9681", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6948, \"b\": 9681}", "seed": "2895943142049492712", "semantic_fingerprint": "sha256:f9aa53e99574d00a423a9370bb8254fc43647c90805e99b602609c1ba0e454a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005442", "prompt": "Find x: -20(x - 35893) + 83246 = 13x - 86743", "solution_steps": ["Expand: -20x + 717860 + 83246 = 13x - 86743", "Combine constants: -20x + 801106 = 13x - 86743", "Subtract 13x from both sides: -33x + 801106 = -86743", "Subtract 801106 from both sides: -33x = -887849", "Divide both sides by -33: x = 887849/33"], "final_answer": "887849/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 35893) + 83246 = 13x - 86743", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 35893, \"c\": 83246, \"d\": 13, \"e\": 86743}", "seed": "3815934835215074711", "semantic_fingerprint": "sha256:b8931ecff1b21404f933855767313a57afdd7075f0374df22e4b1d6fc3b9a76a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005443", "prompt": "Compute: -1993 + 3076 - (-79185 - 5672)", "solution_steps": ["Add: -1993 + 3076 = 1083", "Subtract: -79185 - 5672 = -84857", "Subtract: 1083 - (-84857) = 85940"], "final_answer": "85940", "answer_type": "integer", "kind": "expression", "math_text": "-1993 + 3076 - (-79185 - 5672)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1993, \"b\": 3076, \"c\": -79185, \"d\": 5672}", "seed": "6939269281698547687", "semantic_fingerprint": "sha256:d12c12b4d1af47eb3946bddb2c489ab9241689a55a9db518952da97b49a02037", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005444", "prompt": "Calculate: -45769 / 1658 - 8595 / (-5000)", "solution_steps": ["Divide: -45769 / 1658 = -45769/1658", "Divide: 8595 / (-5000) = -1719/1000", "Subtract: -45769/1658 - (-1719/1000) = -21459449/829000"], "final_answer": "-21459449/829000", "answer_type": "rational", "kind": "expression", "math_text": "-45769 / 1658 - 8595 / (-5000)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45769, \"b\": 1658, \"c\": 8595, \"d\": -5000}", "seed": "6437796449224543317", "semantic_fingerprint": "sha256:a77854dea29b91fd528bae52e33e185075d96b92761f42df25254d06f99d66d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005445", "prompt": "Evaluate: -4515 / 92211", "solution_steps": ["Divide: -4515 / 92211 = -215/4391"], "final_answer": "-215/4391", "answer_type": "rational", "kind": "expression", "math_text": "-4515 / 92211", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4515, \"b\": 92211}", "seed": "9423371757729084361", "semantic_fingerprint": "sha256:a5031d7fae34b05dc643e37448bd7402b81128e2e3a258125105bee82e45463e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005446", "prompt": "What value of x satisfies 32x - 1147 = x + 2863?", "solution_steps": ["Subtract x from both sides: 31x - 1147 = 2863", "Add 1147 to both sides: 31x = 4010", "Divide both sides by 31: x = 4010/31"], "final_answer": "4010/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x - 1147 = x + 2863", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1147, \"c\": 2863}", "seed": "7148784472908947744", "semantic_fingerprint": "sha256:3492313581c543a1b8ab1e7af59ba2779bd1dc377025e920c5aa635f29f1b7be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005447", "prompt": "Find x: x - 47684 = -47650", "solution_steps": ["Add 47684 to both sides: x = 34"], "final_answer": "34", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 47684 = -47650", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47684, \"c\": -47650, \"x\": 34}", "seed": "8778944357456265173", "semantic_fingerprint": "sha256:06aac842d16a29fa43d8c5d2dc13affeb4df9fc5062af94e2bd6a1a752d1cceb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005448", "prompt": "Compute: 6633 / 7055 + (-7690 + (6539 - (-51304)))", "solution_steps": ["Divide: 6633 / 7055 = 6633/7055", "Subtract: 6539 - (-51304) = 57843", "Add: -7690 + 57843 = 50153", "Add: 6633/7055 + 50153 = 353836048/7055"], "final_answer": "353836048/7055", "answer_type": "rational", "kind": "expression", "math_text": "6633 / 7055 + (-7690 + (6539 - (-51304)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6633, \"b\": 7055, \"c\": -7690, \"d\": 6539, \"e\": -51304}", "seed": "16285102145802994969", "semantic_fingerprint": "sha256:42322e03290f6448e9bc2072909c126fe1bce209e3cd483b7fca9671f842ff7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005449", "prompt": "Solve for x: x = 40(x + 1800) - 4284", "solution_steps": ["Expand: x = 40x + 72000 - 4284", "Combine constants: x = 40x + 67716", "Subtract 40x from both sides: -39x = 67716", "Divide both sides by -39: x = -22572/13"], "final_answer": "-22572/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 40(x + 1800) - 4284", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1800, \"c\": 4284}", "seed": "5320578610378138802", "semantic_fingerprint": "sha256:9a4177ee8db094f6a3d997829e5f9748c39045cc38171e4b6ed735bccc7a1f3d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005450", "prompt": "What is 77214 + 8005 - (-93275) + (-2326 - 57051)?", "solution_steps": ["Add: 77214 + 8005 = 85219", "Subtract: 85219 - (-93275) = 178494", "Subtract: -2326 - 57051 = -59377", "Add: 178494 + (-59377) = 119117"], "final_answer": "119117", "answer_type": "integer", "kind": "expression", "math_text": "77214 + 8005 - (-93275) + (-2326 - 57051)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 77214, \"b\": 8005, \"c\": -93275, \"d\": -2326, \"e\": 57051}", "seed": "13551618132669717661", "semantic_fingerprint": "sha256:b0501eb90f78740fd201232e8589260bb6cec5caf08710fbefca211cc3c64d9d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005451", "prompt": "What value of x satisfies -16(x + 1058) = -9485?", "solution_steps": ["Expand: -16x - 16928 = -9485", "Add 16928 to both sides: -16x = 7443", "Divide both sides by -16: x = -7443/16"], "final_answer": "-7443/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 1058) = -9485", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 1058, \"c\": -9485}", "seed": "5720121635158042884", "semantic_fingerprint": "sha256:30b7073d413034afbf12aab2ecce495674cc0f85d2c6669645bdfc469e4738e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005452", "prompt": "Calculate: 1352 / (3851 + (-5976)) - 84984 + (-1272)", "solution_steps": ["Add: 3851 + (-5976) = -2125", "Divide: 1352 / (-2125) = -1352/2125", "Subtract: -1352/2125 - 84984 = -180592352/2125", "Add: -180592352/2125 + (-1272) = -183295352/2125"], "final_answer": "-183295352/2125", "answer_type": "rational", "kind": "expression", "math_text": "1352 / (3851 + (-5976)) - 84984 + (-1272)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1352, \"b\": 3851, \"c\": -5976, \"d\": 84984, \"e\": -1272}", "seed": "17709830762249084636", "semantic_fingerprint": "sha256:320f70030290c7dc7c80a27769d8994ea5a979652b35aabffa25e4c4fbcc719e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005453", "prompt": "Calculate: 4617 * 7089 + 5816", "solution_steps": ["Multiply: 4617 * 7089 = 32729913", "Add: 32729913 + 5816 = 32735729"], "final_answer": "32735729", "answer_type": "integer", "kind": "expression", "math_text": "4617 * 7089 + 5816", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4617, \"b\": 7089, \"c\": 5816}", "seed": "7512696015130861665", "semantic_fingerprint": "sha256:cde97528d875f9369009d27610746c0badaf29b203fb9350457f7b6a0913e95c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005454", "prompt": "Calculate: -6385 * (-9900)", "solution_steps": ["Multiply: -6385 * (-9900) = 63211500"], "final_answer": "63211500", "answer_type": "integer", "kind": "expression", "math_text": "-6385 * (-9900)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6385, \"b\": -9900}", "seed": "4633682863704729744", "semantic_fingerprint": "sha256:8a598bfd897dedf2fa0c647b3c8dd4ebb10de9f76e24d5a473fca93f1cda7a06", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005455", "prompt": "What value of x satisfies 20(x - 3760) + 73450 = -30x?", "solution_steps": ["Expand: 20x - 75200 + 73450 = -30x", "Combine constants: 20x - 1750 = -30x", "Add 30x to both sides: 50x - 1750 = 0", "Add 1750 to both sides: 50x = 1750", "Divide both sides by 50: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 3760) + 73450 = -30x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3760, \"c\": -30, \"e\": 73450, \"x\": 35}", "seed": "11057315792710918251", "semantic_fingerprint": "sha256:bdf3f7913c57553e6ace70168777ead55554d4c777f29e24923067e9d4621cf2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005456", "prompt": "Evaluate: -6804 - 52789 + 20265", "solution_steps": ["Subtract: -6804 - 52789 = -59593", "Add: -59593 + 20265 = -39328"], "final_answer": "-39328", "answer_type": "integer", "kind": "expression", "math_text": "-6804 - 52789 + 20265", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6804, \"b\": 52789, \"c\": 20265}", "seed": "3745934102241641605", "semantic_fingerprint": "sha256:4cb82a1f7a3d2bbd478e8a51335b703112b1b6881f53a87489e6ed56a839b34a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005457", "prompt": "Compute: -46482 - 2809", "solution_steps": ["Subtract: -46482 - 2809 = -49291"], "final_answer": "-49291", "answer_type": "integer", "kind": "expression", "math_text": "-46482 - 2809", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -46482, \"b\": 2809}", "seed": "9618172270634448794", "semantic_fingerprint": "sha256:b1a6b20cfabeb9df63074755b42407379da3f4e1fd045cf483338270fc0e14b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005458", "prompt": "What value of x satisfies 20(x - 5881) - 46995 = -24(x + 8575) + 29030?", "solution_steps": ["Expand: 20x - 117620 - 46995 = -24(x + 8575) + 29030", "Expand: 20x - 117620 - 46995 = -24x - 205800 + 29030", "Combine constants: 20x - 164615 = -24x - 205800 + 29030", "Combine constants: 20x - 164615 = -24x - 176770", "Add 24x to both sides: 44x - 164615 = -176770", "Add 164615 to both sides: 44x = -12155", "Divide both sides by 44: x = -1105/4"], "final_answer": "-1105/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 5881) - 46995 = -24(x + 8575) + 29030", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 5881, \"c\": 46995, \"d\": -24, \"e\": 8575, \"f\": 29030}", "seed": "5571901623511861526", "semantic_fingerprint": "sha256:87b52dfd70c1400ecd89030e97a962b31256a7582cac8cefd33aa8ec705086b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005459", "prompt": "What is -17294 - (29038 / 6904 + 15016)?", "solution_steps": ["Divide: 29038 / 6904 = 14519/3452", "Add: 14519/3452 + 15016 = 51849751/3452", "Subtract: -17294 - 51849751/3452 = -111548639/3452"], "final_answer": "-111548639/3452", "answer_type": "rational", "kind": "expression", "math_text": "-17294 - (29038 / 6904 + 15016)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17294, \"b\": 29038, \"c\": 6904, \"d\": 15016}", "seed": "18330385533311119799", "semantic_fingerprint": "sha256:0414054958cb9985222d7eb25c148245b8763e28b37aafbb42c0fc7acee590a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005460", "prompt": "What is -9911 + (-59306)?", "solution_steps": ["Add: -9911 + (-59306) = -69217"], "final_answer": "-69217", "answer_type": "integer", "kind": "expression", "math_text": "-9911 + (-59306)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9911, \"b\": -59306}", "seed": "9206721767008189626", "semantic_fingerprint": "sha256:25b09c469a4515385294bbec8327e4d783947aaa33c2777df78973fdd73e565f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005461", "prompt": "What is (61172 - (-6743)) * (-5282 + 9533)?", "solution_steps": ["Subtract: 61172 - (-6743) = 67915", "Add: -5282 + 9533 = 4251", "Multiply: 67915 * 4251 = 288706665"], "final_answer": "288706665", "answer_type": "integer", "kind": "expression", "math_text": "(61172 - (-6743)) * (-5282 + 9533)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61172, \"b\": -6743, \"c\": -5282, \"d\": 9533}", "seed": "9861517148354481367", "semantic_fingerprint": "sha256:8fbe0e9c5938c4e7b7e8ad35cb1f69b416c36e950676da0d46635c6501e9abd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005462", "prompt": "What is -26586 - (4852 + 8918)?", "solution_steps": ["Add: 4852 + 8918 = 13770", "Subtract: -26586 - 13770 = -40356"], "final_answer": "-40356", "answer_type": "integer", "kind": "expression", "math_text": "-26586 - (4852 + 8918)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26586, \"b\": 4852, \"c\": 8918}", "seed": "45086258532880864", "semantic_fingerprint": "sha256:7ff163cdcdddbec670d10cc66ed07bf42c3dcc0e32a9e942957aeed42f2d7754", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005463", "prompt": "Compute: 3311 + (3579 + (-4144))", "solution_steps": ["Add: 3579 + (-4144) = -565", "Add: 3311 + (-565) = 2746"], "final_answer": "2746", "answer_type": "integer", "kind": "expression", "math_text": "3311 + (3579 + (-4144))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3311, \"b\": 3579, \"c\": -4144}", "seed": "794263198517757971", "semantic_fingerprint": "sha256:233d85d69a39a6c6f95b6ded91b5e70fe734b8f2d455ca75e646fb23579bb79b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005464", "prompt": "What value of x satisfies x + 30632 = 34x + 33965?", "solution_steps": ["Subtract 34x from both sides: -33x + 30632 = 33965", "Subtract 30632 from both sides: -33x = 3333", "Divide both sides by -33: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 30632 = 34x + 33965", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30632, \"b\": 34, \"d\": 33965, \"x\": -101}", "seed": "2132298025398836576", "semantic_fingerprint": "sha256:145aff7574efca84dd8ac4e814c5e0ebb6f179af04024aa5e811dcc9a106d839", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005465", "prompt": "Compute: -22679 * 3127", "solution_steps": ["Multiply: -22679 * 3127 = -70917233"], "final_answer": "-70917233", "answer_type": "integer", "kind": "expression", "math_text": "-22679 * 3127", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -22679, \"b\": 3127}", "seed": "15566104894545923888", "semantic_fingerprint": "sha256:93df0b2a7d80871d42f217ecc2781f76e86956d3e2de581b0dc1a52d34e74df1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005466", "prompt": "Compute: -33325 + (-1727) / 2176", "solution_steps": ["Divide: -1727 / 2176 = -1727/2176", "Add: -33325 + (-1727/2176) = -72516927/2176"], "final_answer": "-72516927/2176", "answer_type": "rational", "kind": "expression", "math_text": "-33325 + (-1727) / 2176", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33325, \"b\": -1727, \"c\": 2176}", "seed": "13747484456278861910", "semantic_fingerprint": "sha256:5e50a0a2a452b57f37b12e39bce409dacfc1569bc5093df92c72dd882e26ad30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005467", "prompt": "Solve the equation x - 2157 = -2045 for x.", "solution_steps": ["Add 2157 to both sides: x = 112"], "final_answer": "112", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2157 = -2045", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2157, \"c\": -2045, \"x\": 112}", "seed": "7231687446531576585", "semantic_fingerprint": "sha256:4d3f53771702d207970b9a9da58a01df5e78029cadc905a12339e1d363249135", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005468", "prompt": "What value of x satisfies x - 53790 = 13(x - 4050)?", "solution_steps": ["Expand: x - 53790 = 13x - 52650", "Subtract 13x from both sides: -12x - 53790 = -52650", "Add 53790 to both sides: -12x = 1140", "Divide both sides by -12: x = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 53790 = 13(x - 4050)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4050, \"d\": -53790, \"x\": -95}", "seed": "6143848414855621433", "semantic_fingerprint": "sha256:b30ce8b1e550f18a7f7a71a8e01b61c16896a50548b4e69a26dd08e9863ebd8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005469", "prompt": "Calculate: 30335 * (-4861)", "solution_steps": ["Multiply: 30335 * (-4861) = -147458435"], "final_answer": "-147458435", "answer_type": "integer", "kind": "expression", "math_text": "30335 * (-4861)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 30335, \"b\": -4861}", "seed": "15554265967453077752", "semantic_fingerprint": "sha256:f2779bb80a171acb54ed71f429d4da8ed48849d992a955c73a08123c2d935d20", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005470", "prompt": "Calculate: -4112 + 60202 + 5188", "solution_steps": ["Add: -4112 + 60202 = 56090", "Add: 56090 + 5188 = 61278"], "final_answer": "61278", "answer_type": "integer", "kind": "expression", "math_text": "-4112 + 60202 + 5188", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4112, \"b\": 60202, \"c\": 5188}", "seed": "11887064249203991531", "semantic_fingerprint": "sha256:f45a38344ee46c7d235b17397b0e65339dbb2884da28872230ffed2d3d65041a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005471", "prompt": "Compute: -5230 * (-62936) / (-4252)", "solution_steps": ["Multiply: -5230 * (-62936) = 329155280", "Divide: 329155280 / (-4252) = -82288820/1063"], "final_answer": "-82288820/1063", "answer_type": "rational", "kind": "expression", "math_text": "-5230 * (-62936) / (-4252)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5230, \"b\": -62936, \"c\": -4252}", "seed": "14602007734566849470", "semantic_fingerprint": "sha256:b567d9123fff9ae2394231eb04e8667c316e6f84520c1b92878d42f752fefca8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005472", "prompt": "What is (-9441 + (-23446)) * (-66580) + (-74429) + 71110?", "solution_steps": ["Add: -9441 + (-23446) = -32887", "Multiply: -32887 * (-66580) = 2189616460", "Add: 2189616460 + (-74429) = 2189542031", "Add: 2189542031 + 71110 = 2189613141"], "final_answer": "2189613141", "answer_type": "integer", "kind": "expression", "math_text": "(-9441 + (-23446)) * (-66580) + (-74429) + 71110", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9441, \"b\": -23446, \"c\": -66580, \"d\": -74429, \"e\": 71110}", "seed": "14589404442733223653", "semantic_fingerprint": "sha256:def0e7ca8ed7902d4a89b7be4bd5dfa8aab1369a59a9cdd36ac6e92d5413b04d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005473", "prompt": "Compute: 4278 + (-5141)", "solution_steps": ["Add: 4278 + (-5141) = -863"], "final_answer": "-863", "answer_type": "integer", "kind": "expression", "math_text": "4278 + (-5141)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4278, \"b\": -5141}", "seed": "3475172974796807836", "semantic_fingerprint": "sha256:e84d9044aca9177f319a1fcb5d6365ef0716986ecf1b727b21e06cda20013208", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005474", "prompt": "Solve for x: x + 96737 = -15(x + 8757) + 7939", "solution_steps": ["Expand: x + 96737 = -15x - 131355 + 7939", "Combine constants: x + 96737 = -15x - 123416", "Add 15x to both sides: 16x + 96737 = -123416", "Subtract 96737 from both sides: 16x = -220153", "Divide both sides by 16: x = -220153/16"], "final_answer": "-220153/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 96737 = -15(x + 8757) + 7939", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 96737, \"b\": -15, \"c\": 8757, \"d\": 7939}", "seed": "11388051125005373486", "semantic_fingerprint": "sha256:0157eb2dfcb47584c82df9822831497e1a627e8dcebb14feffaafbb45dd1d644", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005475", "prompt": "Calculate: -25786 * (-1417) + 1531", "solution_steps": ["Multiply: -25786 * (-1417) = 36538762", "Add: 36538762 + 1531 = 36540293"], "final_answer": "36540293", "answer_type": "integer", "kind": "expression", "math_text": "-25786 * (-1417) + 1531", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25786, \"b\": -1417, \"c\": 1531}", "seed": "1011554792683539227", "semantic_fingerprint": "sha256:31e35f654fb59987b43e5df294b47754042f1f05f66d20d2923c2798be81dd74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005476", "prompt": "What value of x satisfies 20(x - 16530) - 78374 = x?", "solution_steps": ["Expand: 20x - 330600 - 78374 = x", "Combine constants: 20x - 408974 = x", "Subtract x from both sides: 19x - 408974 = 0", "Add 408974 to both sides: 19x = 408974", "Divide both sides by 19: x = 408974/19"], "final_answer": "408974/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 16530) - 78374 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 16530, \"c\": 78374}", "seed": "13215025840301802588", "semantic_fingerprint": "sha256:08e4cd5d12329c1d7477a8a4e64577bd5395ecb10fee28ab0afddd70e5f9cc73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005477", "prompt": "What is 8078 * ((1114 + 13970) / 31274) + (-88988 - (-6774))?", "solution_steps": ["Add: 1114 + 13970 = 15084", "Divide: 15084 / 31274 = 7542/15637", "Multiply: 8078 * (7542/15637) = 60924276/15637", "Subtract: -88988 - (-6774) = -82214", "Add: 60924276/15637 + (-82214) = -1224656042/15637"], "final_answer": "-1224656042/15637", "answer_type": "rational", "kind": "expression", "math_text": "8078 * ((1114 + 13970) / 31274) + (-88988 - (-6774))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8078, \"b\": 1114, \"c\": 13970, \"d\": 31274, \"e\": -88988, \"f\": -6774}", "seed": "13180016696002018201", "semantic_fingerprint": "sha256:eeafe7cd09be94f5f5938c1ed397deb3aba60333c6c322ce6de74bb45ab3bb26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005478", "prompt": "Compute: -47839 + (8783 + 4468) * (-67778 + 70058)", "solution_steps": ["Add: 8783 + 4468 = 13251", "Add: -67778 + 70058 = 2280", "Multiply: 13251 * 2280 = 30212280", "Add: -47839 + 30212280 = 30164441"], "final_answer": "30164441", "answer_type": "integer", "kind": "expression", "math_text": "-47839 + (8783 + 4468) * (-67778 + 70058)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -47839, \"b\": 8783, \"c\": 4468, \"d\": -67778, \"e\": 70058}", "seed": "5364932010608037182", "semantic_fingerprint": "sha256:c989afce49cd1295203b9b949f25afc18794ab3737c33204f5223e5d4558e97c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005479", "prompt": "Evaluate: (-2884 + 41124 * (-9260)) / (-8825 + (-19572))", "solution_steps": ["Multiply: 41124 * (-9260) = -380808240", "Add: -2884 + (-380808240) = -380811124", "Add: -8825 + (-19572) = -28397", "Divide: -380811124 / (-28397) = 380811124/28397"], "final_answer": "380811124/28397", "answer_type": "rational", "kind": "expression", "math_text": "(-2884 + 41124 * (-9260)) / (-8825 + (-19572))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2884, \"b\": 41124, \"c\": -9260, \"d\": -8825, \"e\": -19572}", "seed": "8159800395399679014", "semantic_fingerprint": "sha256:561360acf858464d2f22a703e2e255e674a2dbb82d00fcf85717b17a2e0c8c6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005480", "prompt": "Calculate: 76049 / 5682", "solution_steps": ["Divide: 76049 / 5682 = 76049/5682"], "final_answer": "76049/5682", "answer_type": "rational", "kind": "expression", "math_text": "76049 / 5682", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 76049, \"b\": 5682}", "seed": "9560490569153862852", "semantic_fingerprint": "sha256:1dd80cedd131dcabdd3d4f4f6e0a34d2288e6e2b332e7854a8618ce7847dd54f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005481", "prompt": "What value of x satisfies -23x = -14x + 12013?", "solution_steps": ["Add 14x to both sides: -9x = 12013", "Divide both sides by -9: x = -12013/9"], "final_answer": "-12013/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23x = -14x + 12013", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": -14, \"c\": 12013}", "seed": "6156798995481006027", "semantic_fingerprint": "sha256:d3b6bd212092070322327e52ceb71fd5a767127c71748c1cedb3a81ce8552958", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005482", "prompt": "What value of x satisfies 34(x + 89302) - 10279 = -36x?", "solution_steps": ["Expand: 34x + 3036268 - 10279 = -36x", "Combine constants: 34x + 3025989 = -36x", "Add 36x to both sides: 70x + 3025989 = 0", "Subtract 3025989 from both sides: 70x = -3025989", "Divide both sides by 70: x = -3025989/70"], "final_answer": "-3025989/70", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 89302) - 10279 = -36x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 89302, \"c\": 10279, \"d\": -36}", "seed": "4983262365762117197", "semantic_fingerprint": "sha256:d95454904d6a711ac88ad7a9654fb4bc6c5b3610ab5dc8d774c4c67b9e2c6d45", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005483", "prompt": "What is -80364 / 34638?", "solution_steps": ["Divide: -80364 / 34638 = -13394/5773"], "final_answer": "-13394/5773", "answer_type": "rational", "kind": "expression", "math_text": "-80364 / 34638", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -80364, \"b\": 34638}", "seed": "10655134903006577238", "semantic_fingerprint": "sha256:6b903631ed88db2c4edcfdf42f04b42884abfcf9c45735637613d7b2d310ee66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005484", "prompt": "Evaluate: (-76751 + 4516) * (1988 + (-88980))", "solution_steps": ["Add: -76751 + 4516 = -72235", "Add: 1988 + (-88980) = -86992", "Multiply: -72235 * (-86992) = 6283867120"], "final_answer": "6283867120", "answer_type": "integer", "kind": "expression", "math_text": "(-76751 + 4516) * (1988 + (-88980))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -76751, \"b\": 4516, \"c\": 1988, \"d\": -88980}", "seed": "7197742410074127274", "semantic_fingerprint": "sha256:b9eca61ab6389b54932ff14f57b359399d0252d3719f1bb6ca6ca5534d9ca3dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005485", "prompt": "Compute: -2709 / (-4262) - (-2502)", "solution_steps": ["Divide: -2709 / (-4262) = 2709/4262", "Subtract: 2709/4262 - (-2502) = 10666233/4262"], "final_answer": "10666233/4262", "answer_type": "rational", "kind": "expression", "math_text": "-2709 / (-4262) - (-2502)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2709, \"b\": -4262, \"c\": -2502}", "seed": "9872655607731798027", "semantic_fingerprint": "sha256:f9bd431f56cda8dbee4c938005b2eb3ec348d04176f91ea1712cc731c3e66bbe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005486", "prompt": "Solve for x: x - 7024 = 15(x + 50692) - 20181", "solution_steps": ["Expand: x - 7024 = 15x + 760380 - 20181", "Combine constants: x - 7024 = 15x + 740199", "Subtract 15x from both sides: -14x - 7024 = 740199", "Add 7024 to both sides: -14x = 747223", "Divide both sides by -14: x = -747223/14"], "final_answer": "-747223/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7024 = 15(x + 50692) - 20181", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7024, \"b\": 15, \"c\": 50692, \"d\": 20181}", "seed": "12524845641748180450", "semantic_fingerprint": "sha256:c9864a846d0d51234f869a27dcdedb886442fc5f19414965d387e74bdd9a0df2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005487", "prompt": "What is 6437 / (-4971)?", "solution_steps": ["Divide: 6437 / (-4971) = -6437/4971"], "final_answer": "-6437/4971", "answer_type": "rational", "kind": "expression", "math_text": "6437 / (-4971)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6437, \"b\": -4971}", "seed": "11560383320001686591", "semantic_fingerprint": "sha256:d642d2c0c85c9c36c90f8c397ef6ebc3b7237b79ce52575ece62293004740ac6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005488", "prompt": "Calculate: -7271 - 2092 - (8227 + 7549)", "solution_steps": ["Subtract: -7271 - 2092 = -9363", "Add: 8227 + 7549 = 15776", "Subtract: -9363 - 15776 = -25139"], "final_answer": "-25139", "answer_type": "integer", "kind": "expression", "math_text": "-7271 - 2092 - (8227 + 7549)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7271, \"b\": 2092, \"c\": 8227, \"d\": 7549}", "seed": "5420909539205711607", "semantic_fingerprint": "sha256:55e56a87592c34920dec838fc25b91b566a0ef13639a41722d9190b7bd9582ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005489", "prompt": "Compute: -59698 / 4431 - (18513 - 21145)", "solution_steps": ["Divide: -59698 / 4431 = -59698/4431", "Subtract: 18513 - 21145 = -2632", "Subtract: -59698/4431 - (-2632) = 11602694/4431"], "final_answer": "11602694/4431", "answer_type": "rational", "kind": "expression", "math_text": "-59698 / 4431 - (18513 - 21145)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -59698, \"b\": 4431, \"c\": 18513, \"d\": 21145}", "seed": "16108516234476394244", "semantic_fingerprint": "sha256:44b1190e64febb6cd997f54bd916371575ee6063d41837f858f7f6baccc05291", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005490", "prompt": "Compute: -65331 / (83511 - (-37874))", "solution_steps": ["Subtract: 83511 - (-37874) = 121385", "Divide: -65331 / 121385 = -65331/121385"], "final_answer": "-65331/121385", "answer_type": "rational", "kind": "expression", "math_text": "-65331 / (83511 - (-37874))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65331, \"b\": 83511, \"c\": -37874}", "seed": "2977203241906669435", "semantic_fingerprint": "sha256:e26047b9aa6f48a6c7f4e9de6f991ad3055e361c88aa081a0d8e6dbbeeeb34fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005491", "prompt": "Compute: -7299 + (-5513) * 1626", "solution_steps": ["Multiply: -5513 * 1626 = -8964138", "Add: -7299 + (-8964138) = -8971437"], "final_answer": "-8971437", "answer_type": "integer", "kind": "expression", "math_text": "-7299 + (-5513) * 1626", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7299, \"b\": -5513, \"c\": 1626}", "seed": "12857743451885042085", "semantic_fingerprint": "sha256:0acb3fd22e18c6bb40ecb33dde63eea3572c14eacc5e67104a208c667174170d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005492", "prompt": "Calculate: (-27740 - (-31199)) * (-90412) + (-46721)", "solution_steps": ["Subtract: -27740 - (-31199) = 3459", "Multiply: 3459 * (-90412) = -312735108", "Add: -312735108 + (-46721) = -312781829"], "final_answer": "-312781829", "answer_type": "integer", "kind": "expression", "math_text": "(-27740 - (-31199)) * (-90412) + (-46721)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27740, \"b\": -31199, \"c\": -90412, \"d\": -46721}", "seed": "3173027988550611690", "semantic_fingerprint": "sha256:1c7e208edbb4e6310cc3427e0747052dbce7da43993b6dfa5ae3448ff4d6d8fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005493", "prompt": "Calculate: -90863 + (8745 - 35386)", "solution_steps": ["Subtract: 8745 - 35386 = -26641", "Add: -90863 + (-26641) = -117504"], "final_answer": "-117504", "answer_type": "integer", "kind": "expression", "math_text": "-90863 + (8745 - 35386)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90863, \"b\": 8745, \"c\": 35386}", "seed": "3398527959060985843", "semantic_fingerprint": "sha256:f58501fc34e7b37e552a010f8c9a3ad930aec51592fd7b27bb4a6e5e8e67afdb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005494", "prompt": "Evaluate: -8212 - (3217 - (-28324))", "solution_steps": ["Subtract: 3217 - (-28324) = 31541", "Subtract: -8212 - 31541 = -39753"], "final_answer": "-39753", "answer_type": "integer", "kind": "expression", "math_text": "-8212 - (3217 - (-28324))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8212, \"b\": 3217, \"c\": -28324}", "seed": "7705455640633312262", "semantic_fingerprint": "sha256:318c940987df7119d389ff47c0501802ade854e7136e20fde8140c092421f780", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005495", "prompt": "Evaluate: 7674 / (80395 + 10043)", "solution_steps": ["Add: 80395 + 10043 = 90438", "Divide: 7674 / 90438 = 1279/15073"], "final_answer": "1279/15073", "answer_type": "rational", "kind": "expression", "math_text": "7674 / (80395 + 10043)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7674, \"b\": 80395, \"c\": 10043}", "seed": "1096187940314169829", "semantic_fingerprint": "sha256:a9c4de9e3eb3642f040bcd4e5a70cbbc8b54c4dcd73fc70c44a603cf592518e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005496", "prompt": "Evaluate: 5310 + (-65963)", "solution_steps": ["Add: 5310 + (-65963) = -60653"], "final_answer": "-60653", "answer_type": "integer", "kind": "expression", "math_text": "5310 + (-65963)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5310, \"b\": -65963}", "seed": "4098129079401496209", "semantic_fingerprint": "sha256:df3d7bfd277bd4e42ab4dbdeb9dcf37825b3046482c4fa4ee555702c4298fcc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005497", "prompt": "Find x: 20x = 13x", "solution_steps": ["Subtract 13x from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 13x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 13}", "seed": "17719646695946792409", "semantic_fingerprint": "sha256:bce7f00067e7813c7de0c75a9cef90683936916f4182a5b5289bec7a62db255b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005498", "prompt": "Evaluate: 2435 + 1602", "solution_steps": ["Add: 2435 + 1602 = 4037"], "final_answer": "4037", "answer_type": "integer", "kind": "expression", "math_text": "2435 + 1602", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2435, \"b\": 1602}", "seed": "16255653143642063209", "semantic_fingerprint": "sha256:852933781c27da205920585685f0e17d299bc2154ce663edb5e503dd8c650f72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005499", "prompt": "Evaluate: -5225 + (-59733) / (-6548)", "solution_steps": ["Divide: -59733 / (-6548) = 59733/6548", "Add: -5225 + 59733/6548 = -34153567/6548"], "final_answer": "-34153567/6548", "answer_type": "rational", "kind": "expression", "math_text": "-5225 + (-59733) / (-6548)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5225, \"b\": -59733, \"c\": -6548}", "seed": "5525028070224057431", "semantic_fingerprint": "sha256:a87e17fa0891424b29ba647fab7a661dbf564aaa2984d8d9a37b61e69125f726", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005500", "prompt": "Compute: 7067 - 6843 * 3445", "solution_steps": ["Multiply: 6843 * 3445 = 23574135", "Subtract: 7067 - 23574135 = -23567068"], "final_answer": "-23567068", "answer_type": "integer", "kind": "expression", "math_text": "7067 - 6843 * 3445", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7067, \"b\": 6843, \"c\": 3445}", "seed": "601270091693363237", "semantic_fingerprint": "sha256:c43efb9a7e155e17ae5afaca2fb3cc45eaa55f969be8cd815d1131e2a32eaae4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005501", "prompt": "Evaluate: -83802 + 32694 * (-47615)", "solution_steps": ["Multiply: 32694 * (-47615) = -1556724810", "Add: -83802 + (-1556724810) = -1556808612"], "final_answer": "-1556808612", "answer_type": "integer", "kind": "expression", "math_text": "-83802 + 32694 * (-47615)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83802, \"b\": 32694, \"c\": -47615}", "seed": "4211561629188127158", "semantic_fingerprint": "sha256:2a9f61120828cbf4d6496b2bd727920155a2e12402a329aa97e699683236dd54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005502", "prompt": "What is 7826 + (-6851)?", "solution_steps": ["Add: 7826 + (-6851) = 975"], "final_answer": "975", "answer_type": "integer", "kind": "expression", "math_text": "7826 + (-6851)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7826, \"b\": -6851}", "seed": "14287363790121349378", "semantic_fingerprint": "sha256:6c7c4295132c6a3bbaee641313f769f37abcced490dcaddc9be3fba82972f7d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005503", "prompt": "Evaluate: 8288 + (-45683) - (-5748)", "solution_steps": ["Add: 8288 + (-45683) = -37395", "Subtract: -37395 - (-5748) = -31647"], "final_answer": "-31647", "answer_type": "integer", "kind": "expression", "math_text": "8288 + (-45683) - (-5748)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8288, \"b\": -45683, \"c\": -5748}", "seed": "3054880083315240001", "semantic_fingerprint": "sha256:d6052136f2d1f36165d9ef0fcddd805e51f0960e589b61dfe185b8ddb84beb84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005504", "prompt": "What is -1798 / (-3079) * (-31285)?", "solution_steps": ["Divide: -1798 / (-3079) = 1798/3079", "Multiply: (1798/3079) * (-31285) = -56250430/3079"], "final_answer": "-56250430/3079", "answer_type": "rational", "kind": "expression", "math_text": "-1798 / (-3079) * (-31285)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1798, \"b\": -3079, \"c\": -31285}", "seed": "16072274773068929066", "semantic_fingerprint": "sha256:ff3411806b671f57b45d62eec993a31c359c321bf59a9f6bb05699d38691a9a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005505", "prompt": "What is -3042 - (-5135)?", "solution_steps": ["Subtract: -3042 - (-5135) = 2093"], "final_answer": "2093", "answer_type": "integer", "kind": "expression", "math_text": "-3042 - (-5135)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3042, \"b\": -5135}", "seed": "7524785258967868540", "semantic_fingerprint": "sha256:142351bd0d9d4bdb07c975e7b35bf07cf2c8ac21c10e9a05280027bc97fbcca5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005506", "prompt": "Calculate: -5337 * 11288 + (-1684 * 4270 + 73799) * 8004", "solution_steps": ["Multiply: -5337 * 11288 = -60244056", "Multiply: -1684 * 4270 = -7190680", "Add: -7190680 + 73799 = -7116881", "Multiply: -7116881 * 8004 = -56963515524", "Add: -60244056 + (-56963515524) = -57023759580"], "final_answer": "-57023759580", "answer_type": "integer", "kind": "expression", "math_text": "-5337 * 11288 + (-1684 * 4270 + 73799) * 8004", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ (* n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5337, \"b\": 11288, \"c\": -1684, \"d\": 4270, \"e\": 73799, \"f\": 8004}", "seed": "13291104204910976252", "semantic_fingerprint": "sha256:32b4acb55c682c4d698688d68ebde1f524453fff1b7db41e32699ffe7745eabf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005507", "prompt": "Compute: 87294 * ((-24696 - (-3011)) / (-7858 + (-93666)))", "solution_steps": ["Subtract: -24696 - (-3011) = -21685", "Add: -7858 + (-93666) = -101524", "Divide: -21685 / (-101524) = 21685/101524", "Multiply: 87294 * (21685/101524) = 946485195/50762"], "final_answer": "946485195/50762", "answer_type": "rational", "kind": "expression", "math_text": "87294 * ((-24696 - (-3011)) / (-7858 + (-93666)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 87294, \"b\": -24696, \"c\": -3011, \"d\": -7858, \"e\": -93666}", "seed": "17770961231608722885", "semantic_fingerprint": "sha256:3cbffd0ec18b4d39c8ba34409b1445ed73790bc2f8c2d454a6d42d6120b473b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005508", "prompt": "Find x: x - 88596 = -88747", "solution_steps": ["Add 88596 to both sides: x = -151"], "final_answer": "-151", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 88596 = -88747", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88596, \"c\": -88747, \"x\": -151}", "seed": "16383638110128297276", "semantic_fingerprint": "sha256:b2d210e1d96a3cce496b256a75f3075417c51602b2f8a49e5f993186f4bfa82d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005509", "prompt": "Find x: -38(x + 12970) + 66654 = 35x + 3118", "solution_steps": ["Expand: -38x - 492860 + 66654 = 35x + 3118", "Combine constants: -38x - 426206 = 35x + 3118", "Subtract 35x from both sides: -73x - 426206 = 3118", "Add 426206 to both sides: -73x = 429324", "Divide both sides by -73: x = -429324/73"], "final_answer": "-429324/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 12970) + 66654 = 35x + 3118", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 12970, \"c\": 66654, \"d\": 35, \"e\": 3118}", "seed": "17579316288621733303", "semantic_fingerprint": "sha256:c452f39793f5612c53d4d4851bbd335bcf1b18e16cd5bad9026065ff48fe6dc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005510", "prompt": "Solve for x: x + 4791 = 35(x - 88610)", "solution_steps": ["Expand: x + 4791 = 35x - 3101350", "Subtract 35x from both sides: -34x + 4791 = -3101350", "Subtract 4791 from both sides: -34x = -3106141", "Divide both sides by -34: x = 3106141/34"], "final_answer": "3106141/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4791 = 35(x - 88610)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4791, \"b\": 35, \"c\": 88610}", "seed": "9624316408305082227", "semantic_fingerprint": "sha256:f11c21051f7e96d4e71603fba974f1390c59b37ac3354d339a4a34b1dc937d7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005511", "prompt": "Solve the equation 38(x + 7813) = 32(x + 82093) for x.", "solution_steps": ["Expand: 38x + 296894 = 32(x + 82093)", "Expand: 38x + 296894 = 32x + 2626976", "Subtract 32x from both sides: 6x + 296894 = 2626976", "Subtract 296894 from both sides: 6x = 2330082", "Divide both sides by 6: x = 388347"], "final_answer": "388347", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 7813) = 32(x + 82093)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7813, \"c\": 32, \"d\": 82093}", "seed": "15017720138681569268", "semantic_fingerprint": "sha256:2db1505bfa250af9f4708554634f9470549df7617abb76224ebecbb47ee0151e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005512", "prompt": "What is 2880 * (-31804 + (-7539)) - (-92933) * 2495?", "solution_steps": ["Add: -31804 + (-7539) = -39343", "Multiply: 2880 * (-39343) = -113307840", "Multiply: -92933 * 2495 = -231867835", "Subtract: -113307840 - (-231867835) = 118559995"], "final_answer": "118559995", "answer_type": "integer", "kind": "expression", "math_text": "2880 * (-31804 + (-7539)) - (-92933) * 2495", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2880, \"b\": -31804, \"c\": -7539, \"d\": -92933, \"e\": 2495}", "seed": "14474342862223154239", "semantic_fingerprint": "sha256:79636cc71d9334bace308db443782416e89234291414e1f9052b18bbabe9a154", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005513", "prompt": "Solve for x: 38x = x - 1739", "solution_steps": ["Subtract x from both sides: 37x = -1739", "Divide both sides by 37: x = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = x - 1739", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": -1739, \"x\": -47}", "seed": "2178190215679876572", "semantic_fingerprint": "sha256:664f36b47eb3ac2f5f1b1d54fe3a41e61f07f954c971ed423b6cfccd74b1c13d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005514", "prompt": "Compute: 6589 - 51805", "solution_steps": ["Subtract: 6589 - 51805 = -45216"], "final_answer": "-45216", "answer_type": "integer", "kind": "expression", "math_text": "6589 - 51805", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6589, \"b\": 51805}", "seed": "10176727290365099152", "semantic_fingerprint": "sha256:40b8c3c5441ea8ef1883752fe1e89417a486b4b9fa409b519e8d9c5d35d1e4b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005515", "prompt": "Evaluate: -35831 / (-58100) * (-70734) - (-88395)", "solution_steps": ["Divide: -35831 / (-58100) = 35831/58100", "Multiply: (35831/58100) * (-70734) = -1267234977/29050", "Subtract: -1267234977/29050 - (-88395) = 1300639773/29050"], "final_answer": "1300639773/29050", "answer_type": "rational", "kind": "expression", "math_text": "-35831 / (-58100) * (-70734) - (-88395)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35831, \"b\": -58100, \"c\": -70734, \"d\": -88395}", "seed": "2267083276087212636", "semantic_fingerprint": "sha256:35e9ebe446354f11ebab2a22e3704c8a84fdd6d2383df883b5c0b61385e2ea30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005516", "prompt": "Solve the equation 36x + 5801 = x + 60522 for x.", "solution_steps": ["Subtract x from both sides: 35x + 5801 = 60522", "Subtract 5801 from both sides: 35x = 54721", "Divide both sides by 35: x = 54721/35"], "final_answer": "54721/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x + 5801 = x + 60522", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 5801, \"c\": 60522}", "seed": "7550389602652296299", "semantic_fingerprint": "sha256:b7eb4c206ceb8e3b03ca1222e22c924e0cc936acc6909adfbfb8711584c1b69f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005517", "prompt": "Calculate: 26017 / 1490 - (1983 - (-30617))", "solution_steps": ["Divide: 26017 / 1490 = 26017/1490", "Subtract: 1983 - (-30617) = 32600", "Subtract: 26017/1490 - 32600 = -48547983/1490"], "final_answer": "-48547983/1490", "answer_type": "rational", "kind": "expression", "math_text": "26017 / 1490 - (1983 - (-30617))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26017, \"b\": 1490, \"c\": 1983, \"d\": -30617}", "seed": "11985455534466458676", "semantic_fingerprint": "sha256:a27791ba3df623f58953f425266cc5a859052390ddab221ecc55bf30407c02ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005518", "prompt": "Calculate: -22505 / (-8365 + (-64931))", "solution_steps": ["Add: -8365 + (-64931) = -73296", "Divide: -22505 / (-73296) = 22505/73296"], "final_answer": "22505/73296", "answer_type": "rational", "kind": "expression", "math_text": "-22505 / (-8365 + (-64931))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22505, \"b\": -8365, \"c\": -64931}", "seed": "13930182945237248139", "semantic_fingerprint": "sha256:a46cdb709a17ed2501c2935f1e7db89bb7e6baa42c02c0eb96c6b6da9f8a07f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005519", "prompt": "Calculate: 18822 + (-56134) + (-51633)", "solution_steps": ["Add: 18822 + (-56134) = -37312", "Add: -37312 + (-51633) = -88945"], "final_answer": "-88945", "answer_type": "integer", "kind": "expression", "math_text": "18822 + (-56134) + (-51633)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18822, \"b\": -56134, \"c\": -51633}", "seed": "12881897103191699746", "semantic_fingerprint": "sha256:2672f94c809a1fbe065e945d37557e4b846a628ea863b945a1bc0d527ead4516", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005520", "prompt": "What value of x satisfies 19(x + 8663) = x?", "solution_steps": ["Expand: 19x + 164597 = x", "Subtract x from both sides: 18x + 164597 = 0", "Subtract 164597 from both sides: 18x = -164597", "Divide both sides by 18: x = -164597/18"], "final_answer": "-164597/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 8663) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 8663}", "seed": "953473877625792534", "semantic_fingerprint": "sha256:caa5c76741f8f4b41d7dff0cb3c0fa52361ecf336c32b029f08c97975ab63e36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005521", "prompt": "What is 97632 * (4785 + (-64335 + (-10722))) - 6584?", "solution_steps": ["Add: -64335 + (-10722) = -75057", "Add: 4785 + (-75057) = -70272", "Multiply: 97632 * (-70272) = -6860795904", "Subtract: -6860795904 - 6584 = -6860802488"], "final_answer": "-6860802488", "answer_type": "integer", "kind": "expression", "math_text": "97632 * (4785 + (-64335 + (-10722))) - 6584", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 97632, \"b\": 4785, \"c\": -64335, \"d\": -10722, \"e\": 6584}", "seed": "12410409830750369263", "semantic_fingerprint": "sha256:c2593b65453be9c29292e191bdc2f4509ab4f5e00a105ebbd3ea7fe9be0bd309", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005522", "prompt": "Solve for x: -16(x + 2952) + 6319 = 14(x - 42916)", "solution_steps": ["Expand: -16x - 47232 + 6319 = 14(x - 42916)", "Expand: -16x - 47232 + 6319 = 14x - 600824", "Combine constants: -16x - 40913 = 14x - 600824", "Subtract 14x from both sides: -30x - 40913 = -600824", "Add 40913 to both sides: -30x = -559911", "Divide both sides by -30: x = 186637/10"], "final_answer": "186637/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 2952) + 6319 = 14(x - 42916)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 2952, \"c\": 6319, \"d\": 14, \"e\": 42916}", "seed": "7018466750496964600", "semantic_fingerprint": "sha256:f247b31a096a01ebad410d7f9223f71932200cf78dbeb3b6a21bfe5364194e77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005523", "prompt": "Evaluate: -29722 * (-5282) - (43518 - (-83024)) - 8825 / (-2468)", "solution_steps": ["Multiply: -29722 * (-5282) = 156991604", "Subtract: 43518 - (-83024) = 126542", "Subtract: 156991604 - 126542 = 156865062", "Divide: 8825 / (-2468) = -8825/2468", "Subtract: 156865062 - (-8825/2468) = 387142981841/2468"], "final_answer": "387142981841/2468", "answer_type": "rational", "kind": "expression", "math_text": "-29722 * (-5282) - (43518 - (-83024)) - 8825 / (-2468)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29722, \"b\": -5282, \"c\": 43518, \"d\": -83024, \"e\": 8825, \"f\": -2468}", "seed": "14708301338011794406", "semantic_fingerprint": "sha256:6e09111626593b78153b4c98b242ed775ef1aabcbebb6e0a8ca016508d9f34a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005524", "prompt": "Compute: (5979 + 2313 + 1596) / (-80249)", "solution_steps": ["Add: 5979 + 2313 = 8292", "Add: 8292 + 1596 = 9888", "Divide: 9888 / (-80249) = -9888/80249"], "final_answer": "-9888/80249", "answer_type": "rational", "kind": "expression", "math_text": "(5979 + 2313 + 1596) / (-80249)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5979, \"b\": 2313, \"c\": 1596, \"d\": -80249}", "seed": "531761519202352466", "semantic_fingerprint": "sha256:726f82ff3cf206559b581763a0ed78f37bb0a8fd7f9d47d3131815026f090a1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005525", "prompt": "Compute: 2145 / 6026", "solution_steps": ["Divide: 2145 / 6026 = 2145/6026"], "final_answer": "2145/6026", "answer_type": "rational", "kind": "expression", "math_text": "2145 / 6026", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2145, \"b\": 6026}", "seed": "11748397541317128559", "semantic_fingerprint": "sha256:e7d9204f6abaf15f0a31bdd617e3d232d290d3ce544bde4002e9690de683cde8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005526", "prompt": "Solve for x: x = 26(x + 8934)", "solution_steps": ["Expand: x = 26x + 232284", "Subtract 26x from both sides: -25x = 232284", "Divide both sides by -25: x = -232284/25"], "final_answer": "-232284/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 26(x + 8934)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 8934}", "seed": "18190768816181554323", "semantic_fingerprint": "sha256:ed50ccbae007e73e542a1e8c4879c8eae27a0c8908fda5233b6334bf8cc67292", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005527", "prompt": "Find x: x + 3522 = -39x", "solution_steps": ["Add 39x to both sides: 40x + 3522 = 0", "Subtract 3522 from both sides: 40x = -3522", "Divide both sides by 40: x = -1761/20"], "final_answer": "-1761/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3522 = -39x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3522, \"b\": -39}", "seed": "4739477236904338559", "semantic_fingerprint": "sha256:06fc46bbceb59b89f92ad7804dfdfd402bff59a0e4f21457b0bf83f9861db394", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005528", "prompt": "Evaluate: 40105 + 8345", "solution_steps": ["Add: 40105 + 8345 = 48450"], "final_answer": "48450", "answer_type": "integer", "kind": "expression", "math_text": "40105 + 8345", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 40105, \"b\": 8345}", "seed": "11876506553532216309", "semantic_fingerprint": "sha256:1ffb3da6c9e4d04a69f14549102ee7d34157d6836f1a7936671fe16f6c251819", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005529", "prompt": "Evaluate: 6545 - (1589 - 5687)", "solution_steps": ["Subtract: 1589 - 5687 = -4098", "Subtract: 6545 - (-4098) = 10643"], "final_answer": "10643", "answer_type": "integer", "kind": "expression", "math_text": "6545 - (1589 - 5687)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6545, \"b\": 1589, \"c\": 5687}", "seed": "2972069505915175071", "semantic_fingerprint": "sha256:9108db68bfed8d8048be7c2e6b2968fe72e0611256bd43354d6d743d997a5745", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005530", "prompt": "Evaluate: -3024 - 8083 / (-71966) * 10001", "solution_steps": ["Divide: 8083 / (-71966) = -8083/71966", "Multiply: (-8083/71966) * 10001 = -80838083/71966", "Subtract: -3024 - (-80838083/71966) = -136787101/71966"], "final_answer": "-136787101/71966", "answer_type": "rational", "kind": "expression", "math_text": "-3024 - 8083 / (-71966) * 10001", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3024, \"b\": 8083, \"c\": -71966, \"d\": 10001}", "seed": "5999593713782968745", "semantic_fingerprint": "sha256:c27a17a61ba8f0f30bf35a90588b19d279c8680237c94980109e675c0b52202e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005531", "prompt": "What is 48532 + (-72512) + (-58577 + (-81032))?", "solution_steps": ["Add: 48532 + (-72512) = -23980", "Add: -58577 + (-81032) = -139609", "Add: -23980 + (-139609) = -163589"], "final_answer": "-163589", "answer_type": "integer", "kind": "expression", "math_text": "48532 + (-72512) + (-58577 + (-81032))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48532, \"b\": -72512, \"c\": -58577, \"d\": -81032}", "seed": "17514504705553148588", "semantic_fingerprint": "sha256:858f2096470250c3a643acc666a71dafa01d3ffd585a0c1a7df5f05dfa1a6975", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005532", "prompt": "Evaluate: 48751 * 4657 + (-81859 + 24415) + (-61168)", "solution_steps": ["Multiply: 48751 * 4657 = 227033407", "Add: -81859 + 24415 = -57444", "Add: 227033407 + (-57444) = 226975963", "Add: 226975963 + (-61168) = 226914795"], "final_answer": "226914795", "answer_type": "integer", "kind": "expression", "math_text": "48751 * 4657 + (-81859 + 24415) + (-61168)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 48751, \"b\": 4657, \"c\": -81859, \"d\": 24415, \"e\": -61168}", "seed": "7502555097769426612", "semantic_fingerprint": "sha256:62c499240aba2a2d4bc6490b10eb183642d12bb4bf950706a639ad0816255b74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005533", "prompt": "Find x: 36(x - 2864) - 1285 = x - 38319", "solution_steps": ["Expand: 36x - 103104 - 1285 = x - 38319", "Combine constants: 36x - 104389 = x - 38319", "Subtract x from both sides: 35x - 104389 = -38319", "Add 104389 to both sides: 35x = 66070", "Divide both sides by 35: x = 13214/7"], "final_answer": "13214/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 2864) - 1285 = x - 38319", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 2864, \"c\": 1285, \"d\": 38319}", "seed": "16955641745779387332", "semantic_fingerprint": "sha256:e4650451dd3fd05d45803ca90906e9a45db44e33f9416ef21d0d5414b9d32590", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005534", "prompt": "Compute: (49384 + (-4334)) / (-5427)", "solution_steps": ["Add: 49384 + (-4334) = 45050", "Divide: 45050 / (-5427) = -45050/5427"], "final_answer": "-45050/5427", "answer_type": "rational", "kind": "expression", "math_text": "(49384 + (-4334)) / (-5427)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49384, \"b\": -4334, \"c\": -5427}", "seed": "3134996608630410770", "semantic_fingerprint": "sha256:5a7b5d0b765edca0f7c60dc5c80b11402d76549e85848ff006a0adb2f5f17b16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005535", "prompt": "What value of x satisfies -38x - 5747 = x - 8165?", "solution_steps": ["Subtract x from both sides: -39x - 5747 = -8165", "Add 5747 to both sides: -39x = -2418", "Divide both sides by -39: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x - 5747 = x - 8165", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 5747, \"d\": -8165, \"x\": 62}", "seed": "161302938487082078", "semantic_fingerprint": "sha256:4abc9bfac988d1957a5a1ec79f8fc6f627b16d9995926ba05e8657ca885c3cbd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005536", "prompt": "Calculate: -49527 * (-7264)", "solution_steps": ["Multiply: -49527 * (-7264) = 359764128"], "final_answer": "359764128", "answer_type": "integer", "kind": "expression", "math_text": "-49527 * (-7264)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -49527, \"b\": -7264}", "seed": "17111719848363612171", "semantic_fingerprint": "sha256:999f2bb23460d1e6a876440fe36bcb48b700e9b9d34c61e837123dd7b51db35e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005537", "prompt": "What is -3879 - (42805 - 5781 * 10878) - 90219?", "solution_steps": ["Multiply: 5781 * 10878 = 62885718", "Subtract: 42805 - 62885718 = -62842913", "Subtract: -3879 - (-62842913) = 62839034", "Subtract: 62839034 - 90219 = 62748815"], "final_answer": "62748815", "answer_type": "integer", "kind": "expression", "math_text": "-3879 - (42805 - 5781 * 10878) - 90219", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3879, \"b\": 42805, \"c\": 5781, \"d\": 10878, \"e\": 90219}", "seed": "14436718228337767614", "semantic_fingerprint": "sha256:fa5d26d06df95eab87a38b72f4c574ec0bd2320f085de9d0fd1dd0ec7c4d7192", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005538", "prompt": "Calculate: -88333 * (4992 - 4959)", "solution_steps": ["Subtract: 4992 - 4959 = 33", "Multiply: -88333 * 33 = -2914989"], "final_answer": "-2914989", "answer_type": "integer", "kind": "expression", "math_text": "-88333 * (4992 - 4959)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88333, \"b\": 4992, \"c\": 4959}", "seed": "14548237148929081859", "semantic_fingerprint": "sha256:d94cb33c08a5e641810055a7afa8cf2ab4408b9adfe5aa4c80051fbaeca2fcd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005539", "prompt": "Compute: -99258 + (-17480 + 28355)", "solution_steps": ["Add: -17480 + 28355 = 10875", "Add: -99258 + 10875 = -88383"], "final_answer": "-88383", "answer_type": "integer", "kind": "expression", "math_text": "-99258 + (-17480 + 28355)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99258, \"b\": -17480, \"c\": 28355}", "seed": "2928813090998630322", "semantic_fingerprint": "sha256:dbf1120b24bb60866fb8cbdbec1cd5fabddab243dc0812540d37f406ccf47aba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005540", "prompt": "What is (86437 + (-17059) + (-60112) / (-8192)) * 8896?", "solution_steps": ["Add: 86437 + (-17059) = 69378", "Divide: -60112 / (-8192) = 3757/512", "Add: 69378 + 3757/512 = 35525293/512", "Multiply: (35525293/512) * 8896 = 4938015727/8"], "final_answer": "4938015727/8", "answer_type": "rational", "kind": "expression", "math_text": "(86437 + (-17059) + (-60112) / (-8192)) * 8896", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 86437, \"b\": -17059, \"c\": -60112, \"d\": -8192, \"e\": 8896}", "seed": "9974988407324152383", "semantic_fingerprint": "sha256:d1160d52e3668da98f1e617759fde2d306372e2c287e6f910e0635e11b5e1408", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005541", "prompt": "Solve for x: x + 9764 = 33x + 15108", "solution_steps": ["Subtract 33x from both sides: -32x + 9764 = 15108", "Subtract 9764 from both sides: -32x = 5344", "Divide both sides by -32: x = -167"], "final_answer": "-167", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9764 = 33x + 15108", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9764, \"b\": 33, \"d\": 15108, \"x\": -167}", "seed": "4449341249500318961", "semantic_fingerprint": "sha256:0936dd4f3999a04f6d62fd09d06e470a94a42837c4550bd05aa26fd3c733c082", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005542", "prompt": "Compute: -4034 / (-9084) * (-5503 * (-6231))", "solution_steps": ["Divide: -4034 / (-9084) = 2017/4542", "Multiply: -5503 * (-6231) = 34289193", "Multiply: (2017/4542) * 34289193 = 23053767427/1514"], "final_answer": "23053767427/1514", "answer_type": "rational", "kind": "expression", "math_text": "-4034 / (-9084) * (-5503 * (-6231))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4034, \"b\": -9084, \"c\": -5503, \"d\": -6231}", "seed": "772162526524024413", "semantic_fingerprint": "sha256:85e0d2a9f8a43d314bbe32b7fb19377102f38fe644c658a93a39d513c02e20b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005543", "prompt": "What is (5078 + (1952 + 31590)) / (5233 * (1507 - 1152))?", "solution_steps": ["Add: 1952 + 31590 = 33542", "Add: 5078 + 33542 = 38620", "Subtract: 1507 - 1152 = 355", "Multiply: 5233 * 355 = 1857715", "Divide: 38620 / 1857715 = 7724/371543"], "final_answer": "7724/371543", "answer_type": "rational", "kind": "expression", "math_text": "(5078 + (1952 + 31590)) / (5233 * (1507 - 1152))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5078, \"b\": 1952, \"c\": 31590, \"d\": 5233, \"e\": 1507, \"f\": 1152}", "seed": "674410464577073578", "semantic_fingerprint": "sha256:fff91ef9bc0966b4d8bbd851548727f9a4bd4c2b70d1335153149e7e06bb70dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005544", "prompt": "Calculate: -5298 - (-97518)", "solution_steps": ["Subtract: -5298 - (-97518) = 92220"], "final_answer": "92220", "answer_type": "integer", "kind": "expression", "math_text": "-5298 - (-97518)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5298, \"b\": -97518}", "seed": "10865425254154690248", "semantic_fingerprint": "sha256:1b47812f0d2bf061d9bbb449a6830c761f299b4271ca445b9f63ca83c72dd21c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005545", "prompt": "Solve for x: x = 37(x - 1607)", "solution_steps": ["Expand: x = 37x - 59459", "Subtract 37x from both sides: -36x = -59459", "Divide both sides by -36: x = 59459/36"], "final_answer": "59459/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x - 1607)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 1607}", "seed": "13363470388662640243", "semantic_fingerprint": "sha256:fc4ed3841876ecf0b0329497f8299a303d8ed6ca92948956a77e327d297a7e01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005546", "prompt": "Calculate: (-85074 - (-12390)) * (41001 + (-18600))", "solution_steps": ["Subtract: -85074 - (-12390) = -72684", "Add: 41001 + (-18600) = 22401", "Multiply: -72684 * 22401 = -1628194284"], "final_answer": "-1628194284", "answer_type": "integer", "kind": "expression", "math_text": "(-85074 - (-12390)) * (41001 + (-18600))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -85074, \"b\": -12390, \"c\": 41001, \"d\": -18600}", "seed": "1468428653589935151", "semantic_fingerprint": "sha256:3cbb7809a9455d8e43c2a1ef7923b5bc149530d350a5b7fcb758e133eacdc96d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005547", "prompt": "What is -3161 - (-61552 - 9661)?", "solution_steps": ["Subtract: -61552 - 9661 = -71213", "Subtract: -3161 - (-71213) = 68052"], "final_answer": "68052", "answer_type": "integer", "kind": "expression", "math_text": "-3161 - (-61552 - 9661)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3161, \"b\": -61552, \"c\": 9661}", "seed": "8217583803695808280", "semantic_fingerprint": "sha256:07accb5d9f85599630787a37edc2183bebeddbe120f3cbf0c586525d223c6551", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005548", "prompt": "What is 6022 - (-16989) + 8465?", "solution_steps": ["Subtract: 6022 - (-16989) = 23011", "Add: 23011 + 8465 = 31476"], "final_answer": "31476", "answer_type": "integer", "kind": "expression", "math_text": "6022 - (-16989) + 8465", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6022, \"b\": -16989, \"c\": 8465}", "seed": "16778467875260588971", "semantic_fingerprint": "sha256:34ea5b7a70aac8fab0e277cd268f9a75f6ce3b2538927a476a613362bf678491", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005549", "prompt": "Compute: (-12045 - 5320) * (-78030 - 9543 * 3904)", "solution_steps": ["Subtract: -12045 - 5320 = -17365", "Multiply: 9543 * 3904 = 37255872", "Subtract: -78030 - 37255872 = -37333902", "Multiply: -17365 * (-37333902) = 648303208230"], "final_answer": "648303208230", "answer_type": "integer", "kind": "expression", "math_text": "(-12045 - 5320) * (-78030 - 9543 * 3904)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -12045, \"b\": 5320, \"c\": -78030, \"d\": 9543, \"e\": 3904}", "seed": "2212649427951456161", "semantic_fingerprint": "sha256:f5bde9191d55ad2ae116a0dab01f1d5b5e8d3e1f9e99fd60f5fd9215d078b6b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005550", "prompt": "What is 67929 - (-8836)?", "solution_steps": ["Subtract: 67929 - (-8836) = 76765"], "final_answer": "76765", "answer_type": "integer", "kind": "expression", "math_text": "67929 - (-8836)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 67929, \"b\": -8836}", "seed": "15352127440163905072", "semantic_fingerprint": "sha256:6575d51acd378c0fe177b147f32b6e86bbed21e964825e633055ea9fe2be740e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005551", "prompt": "Evaluate: -3789 + (-2929)", "solution_steps": ["Add: -3789 + (-2929) = -6718"], "final_answer": "-6718", "answer_type": "integer", "kind": "expression", "math_text": "-3789 + (-2929)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3789, \"b\": -2929}", "seed": "3265264196906053771", "semantic_fingerprint": "sha256:153d3871e2ab46327b322752c40002bd94282f9c4d7beca6be944afd990e6579", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005552", "prompt": "Compute: 2545 * 7811", "solution_steps": ["Multiply: 2545 * 7811 = 19878995"], "final_answer": "19878995", "answer_type": "integer", "kind": "expression", "math_text": "2545 * 7811", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2545, \"b\": 7811}", "seed": "13564308248381785839", "semantic_fingerprint": "sha256:6bfd71ffa91c555a19506fc292748da0172f02745660c242e64800041c741238", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005553", "prompt": "Evaluate: 2484 - (-1015) + 3443 * (-40645) * (-6289)", "solution_steps": ["Subtract: 2484 - (-1015) = 3499", "Multiply: 3443 * (-40645) = -139940735", "Multiply: -139940735 * (-6289) = 880087282415", "Add: 3499 + 880087282415 = 880087285914"], "final_answer": "880087285914", "answer_type": "integer", "kind": "expression", "math_text": "2484 - (-1015) + 3443 * (-40645) * (-6289)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2484, \"b\": -1015, \"c\": 3443, \"d\": -40645, \"e\": -6289}", "seed": "3058866305264526969", "semantic_fingerprint": "sha256:395f8ea61d7b4cd9082c822c5e59a941ea5a304dcff45ed716ee91bb5fdef5c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005554", "prompt": "Compute: -4088 + (-1225)", "solution_steps": ["Add: -4088 + (-1225) = -5313"], "final_answer": "-5313", "answer_type": "integer", "kind": "expression", "math_text": "-4088 + (-1225)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4088, \"b\": -1225}", "seed": "12167952870693814995", "semantic_fingerprint": "sha256:63ac4dd0a32fc10e797323543f34fec12611a58955b749e1d1e8af83737df25d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005555", "prompt": "Solve the equation -31x = 17(x + 6031) for x.", "solution_steps": ["Expand: -31x = 17x + 102527", "Subtract 17x from both sides: -48x = 102527", "Divide both sides by -48: x = -102527/48"], "final_answer": "-102527/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x = 17(x + 6031)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 17, \"c\": 6031}", "seed": "10535863880828962099", "semantic_fingerprint": "sha256:39fac05a711c1b7556fbed0062e3961b48fc325d58ebbcd2426102bf5ec6a00a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005556", "prompt": "Find x: 40x = x - 6786", "solution_steps": ["Subtract x from both sides: 39x = -6786", "Divide both sides by 39: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = x - 6786", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -6786, \"x\": -174}", "seed": "685954444488202333", "semantic_fingerprint": "sha256:c5a900b869b347af7619e87adeed4c1662a282bf33af9a83613039c39c434a25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005557", "prompt": "Solve for x: 25(x - 2208) - 79297 = -39(x + 64244) + 8914", "solution_steps": ["Expand: 25x - 55200 - 79297 = -39(x + 64244) + 8914", "Expand: 25x - 55200 - 79297 = -39x - 2505516 + 8914", "Combine constants: 25x - 134497 = -39x - 2505516 + 8914", "Combine constants: 25x - 134497 = -39x - 2496602", "Add 39x to both sides: 64x - 134497 = -2496602", "Add 134497 to both sides: 64x = -2362105", "Divide both sides by 64: x = -2362105/64"], "final_answer": "-2362105/64", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 2208) - 79297 = -39(x + 64244) + 8914", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2208, \"c\": 79297, \"d\": -39, \"e\": 64244, \"f\": 8914}", "seed": "13943095526830152376", "semantic_fingerprint": "sha256:73df1bd885f1a41853d29c0757a750644c1026e6ae1580c98a93901217df1372", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005558", "prompt": "Evaluate: 8992 - (39087 + (-4013 + 70316)) - 2296", "solution_steps": ["Add: -4013 + 70316 = 66303", "Add: 39087 + 66303 = 105390", "Subtract: 8992 - 105390 = -96398", "Subtract: -96398 - 2296 = -98694"], "final_answer": "-98694", "answer_type": "integer", "kind": "expression", "math_text": "8992 - (39087 + (-4013 + 70316)) - 2296", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8992, \"b\": 39087, \"c\": -4013, \"d\": 70316, \"e\": 2296}", "seed": "6583495120800689336", "semantic_fingerprint": "sha256:347e9cc7b40e6733ce42f5e9101fda8f23f5ac5934c79c37719f696ea0670ef4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005559", "prompt": "Solve the equation -20(x - 74782) - 83954 = 21(x - 1002) + 27864 for x.", "solution_steps": ["Expand: -20x + 1495640 - 83954 = 21(x - 1002) + 27864", "Expand: -20x + 1495640 - 83954 = 21x - 21042 + 27864", "Combine constants: -20x + 1411686 = 21x - 21042 + 27864", "Combine constants: -20x + 1411686 = 21x + 6822", "Subtract 21x from both sides: -41x + 1411686 = 6822", "Subtract 1411686 from both sides: -41x = -1404864", "Divide both sides by -41: x = 1404864/41"], "final_answer": "1404864/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 74782) - 83954 = 21(x - 1002) + 27864", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 74782, \"c\": 83954, \"d\": 21, \"e\": 1002, \"f\": 27864}", "seed": "4130986216704839874", "semantic_fingerprint": "sha256:a35218220f81f839d2fd8ef73d5b5498881171feb54c9395154c5999b637c620", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005560", "prompt": "Solve the equation x + 6281 = -40(x - 72115) - 59276 for x.", "solution_steps": ["Expand: x + 6281 = -40x + 2884600 - 59276", "Combine constants: x + 6281 = -40x + 2825324", "Add 40x to both sides: 41x + 6281 = 2825324", "Subtract 6281 from both sides: 41x = 2819043", "Divide both sides by 41: x = 2819043/41"], "final_answer": "2819043/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6281 = -40(x - 72115) - 59276", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6281, \"b\": -40, \"c\": 72115, \"d\": 59276}", "seed": "10722536402283356327", "semantic_fingerprint": "sha256:d90f668290184500f32b3ae45251fdd1be2da8baee618db7a0f9726dbcf4af0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005561", "prompt": "What is 4627 + (3712 + (-9905) + (-3087) * (-7552))?", "solution_steps": ["Add: 3712 + (-9905) = -6193", "Multiply: -3087 * (-7552) = 23313024", "Add: -6193 + 23313024 = 23306831", "Add: 4627 + 23306831 = 23311458"], "final_answer": "23311458", "answer_type": "integer", "kind": "expression", "math_text": "4627 + (3712 + (-9905) + (-3087) * (-7552))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4627, \"b\": 3712, \"c\": -9905, \"d\": -3087, \"e\": -7552}", "seed": "10973642007036169175", "semantic_fingerprint": "sha256:07f79d75a0fb2edd2930d0187648e950543410f995cb18ad535f70e54174b500", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005562", "prompt": "Compute: -31912 - 90662 + (-7315 - 96291) * (-40077)", "solution_steps": ["Subtract: -31912 - 90662 = -122574", "Subtract: -7315 - 96291 = -103606", "Multiply: -103606 * (-40077) = 4152217662", "Add: -122574 + 4152217662 = 4152095088"], "final_answer": "4152095088", "answer_type": "integer", "kind": "expression", "math_text": "-31912 - 90662 + (-7315 - 96291) * (-40077)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31912, \"b\": 90662, \"c\": -7315, \"d\": 96291, \"e\": -40077}", "seed": "394531041534068876", "semantic_fingerprint": "sha256:4829adaa88173ee9d4b49dc4b17378276dc593e4cb9f449d4cfdb6bd25ce0982", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005563", "prompt": "What is 27331 / 3359?", "solution_steps": ["Divide: 27331 / 3359 = 27331/3359"], "final_answer": "27331/3359", "answer_type": "rational", "kind": "expression", "math_text": "27331 / 3359", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27331, \"b\": 3359}", "seed": "14067788114197680672", "semantic_fingerprint": "sha256:b96df540a40842cc4d8581c8fe5e35c7d737f7103c08d8134baccb65ac431339", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005564", "prompt": "Calculate: 95048 - (-6914 - 4137) + (-11967) + (-24965)", "solution_steps": ["Subtract: -6914 - 4137 = -11051", "Subtract: 95048 - (-11051) = 106099", "Add: 106099 + (-11967) = 94132", "Add: 94132 + (-24965) = 69167"], "final_answer": "69167", "answer_type": "integer", "kind": "expression", "math_text": "95048 - (-6914 - 4137) + (-11967) + (-24965)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 95048, \"b\": -6914, \"c\": 4137, \"d\": -11967, \"e\": -24965}", "seed": "18132720276280353454", "semantic_fingerprint": "sha256:64e1f00512cec535bf88322e9c59123fc54c8bff0bc3d0c9ec0e21eaf895211d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005565", "prompt": "Evaluate: 82675 + (8712 - 23208 * (-5926))", "solution_steps": ["Multiply: 23208 * (-5926) = -137530608", "Subtract: 8712 - (-137530608) = 137539320", "Add: 82675 + 137539320 = 137621995"], "final_answer": "137621995", "answer_type": "integer", "kind": "expression", "math_text": "82675 + (8712 - 23208 * (-5926))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82675, \"b\": 8712, \"c\": 23208, \"d\": -5926}", "seed": "16642382595209752989", "semantic_fingerprint": "sha256:20b48aa2f596bf255df681821113f4fd56cf1ee7dde6e92bc32a358663f80692", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005566", "prompt": "Evaluate: 6932 + (-98046)", "solution_steps": ["Add: 6932 + (-98046) = -91114"], "final_answer": "-91114", "answer_type": "integer", "kind": "expression", "math_text": "6932 + (-98046)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6932, \"b\": -98046}", "seed": "14963353608061700582", "semantic_fingerprint": "sha256:e47293c80a1064d24e054146f6f3fefdd7274154c87940cffd120eac8895d5b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005567", "prompt": "Solve the equation 38x - 2460 = 18x for x.", "solution_steps": ["Subtract 18x from both sides: 20x - 2460 = 0", "Add 2460 to both sides: 20x = 2460", "Divide both sides by 20: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x - 2460 = 18x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 18, \"d\": -2460, \"x\": 123}", "seed": "11991546218616849975", "semantic_fingerprint": "sha256:8adf2a217b8207e2d21e2ed2259cfc5c24d9953578dc3ad3154df2c8fd4f75e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005568", "prompt": "Calculate: (3291 * (-4075) - 7913) / 7798", "solution_steps": ["Multiply: 3291 * (-4075) = -13410825", "Subtract: -13410825 - 7913 = -13418738", "Divide: -13418738 / 7798 = -6709369/3899"], "final_answer": "-6709369/3899", "answer_type": "rational", "kind": "expression", "math_text": "(3291 * (-4075) - 7913) / 7798", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3291, \"b\": -4075, \"c\": 7913, \"d\": 7798}", "seed": "1287861950818688580", "semantic_fingerprint": "sha256:2ce15e238e42a8916ac0110b7395997681753cdd57d014fcc5c78d995472d2fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005569", "prompt": "Calculate: 1439 - 6664 * (-90930)", "solution_steps": ["Multiply: 6664 * (-90930) = -605957520", "Subtract: 1439 - (-605957520) = 605958959"], "final_answer": "605958959", "answer_type": "integer", "kind": "expression", "math_text": "1439 - 6664 * (-90930)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1439, \"b\": 6664, \"c\": -90930}", "seed": "8709937030482981089", "semantic_fingerprint": "sha256:16a62070441b6d5a3b85be92d74114ca35a39082b663920357f01c3b0a41edbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005570", "prompt": "Evaluate: 7548 / (-3698) - (-1317) + (-4796)", "solution_steps": ["Divide: 7548 / (-3698) = -3774/1849", "Subtract: -3774/1849 - (-1317) = 2431359/1849", "Add: 2431359/1849 + (-4796) = -6436445/1849"], "final_answer": "-6436445/1849", "answer_type": "rational", "kind": "expression", "math_text": "7548 / (-3698) - (-1317) + (-4796)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7548, \"b\": -3698, \"c\": -1317, \"d\": -4796}", "seed": "12450513227335557426", "semantic_fingerprint": "sha256:2a80a1b2eb30a8866dbe757d8014d88d53c3383cdc521c03b0c9e9960bccf005", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005571", "prompt": "Calculate: (57262 - (98449 - (-39454 + 9073)) - (-1949)) * (-2156)", "solution_steps": ["Add: -39454 + 9073 = -30381", "Subtract: 98449 - (-30381) = 128830", "Subtract: 57262 - 128830 = -71568", "Subtract: -71568 - (-1949) = -69619", "Multiply: -69619 * (-2156) = 150098564"], "final_answer": "150098564", "answer_type": "integer", "kind": "expression", "math_text": "(57262 - (98449 - (-39454 + 9073)) - (-1949)) * (-2156)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n (- n (+ n n))) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 57262, \"b\": 98449, \"c\": -39454, \"d\": 9073, \"e\": -1949, \"f\": -2156}", "seed": "6742976022174925267", "semantic_fingerprint": "sha256:784f8f21d920bfd27fc42d2db00fae2789755b0db5be3558c4d0f8199f2730f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005572", "prompt": "Compute: 97209 * (6363 + 85953)", "solution_steps": ["Add: 6363 + 85953 = 92316", "Multiply: 97209 * 92316 = 8973946044"], "final_answer": "8973946044", "answer_type": "integer", "kind": "expression", "math_text": "97209 * (6363 + 85953)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97209, \"b\": 6363, \"c\": 85953}", "seed": "18276520515604371781", "semantic_fingerprint": "sha256:0d5cddf88fed7aedab3d13b2944cd1214c20feaf27581e2919484f7341e7bc56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005573", "prompt": "What value of x satisfies 25(x - 1485) = x - 2580?", "solution_steps": ["Expand: 25x - 37125 = x - 2580", "Subtract x from both sides: 24x - 37125 = -2580", "Add 37125 to both sides: 24x = 34545", "Divide both sides by 24: x = 11515/8"], "final_answer": "11515/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 1485) = x - 2580", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1485, \"c\": 2580}", "seed": "11110130741659962985", "semantic_fingerprint": "sha256:39bf16802f2c87eee15b1936f2d5ad3bd2985177919e6fe1ede0c03bb0768f55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005574", "prompt": "Compute: -77281 / (6130 / (6315 + (-16310)))", "solution_steps": ["Add: 6315 + (-16310) = -9995", "Divide: 6130 / (-9995) = -1226/1999", "Divide: -77281 / (-1226/1999) = 154484719/1226"], "final_answer": "154484719/1226", "answer_type": "rational", "kind": "expression", "math_text": "-77281 / (6130 / (6315 + (-16310)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77281, \"b\": 6130, \"c\": 6315, \"d\": -16310}", "seed": "4008157750949532309", "semantic_fingerprint": "sha256:30b869f3da11800ddb6ff79e876de8925c5e1dba7c88d79f904652df7109109e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005575", "prompt": "Calculate: -4590 + (-8021) - 29352 / (-5721)", "solution_steps": ["Add: -4590 + (-8021) = -12611", "Divide: 29352 / (-5721) = -9784/1907", "Subtract: -12611 - (-9784/1907) = -24039393/1907"], "final_answer": "-24039393/1907", "answer_type": "rational", "kind": "expression", "math_text": "-4590 + (-8021) - 29352 / (-5721)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4590, \"b\": -8021, \"c\": 29352, \"d\": -5721}", "seed": "14233133055355113102", "semantic_fingerprint": "sha256:1764cbae1ec7c9bf64197f0cef2f7617a9c873dc99ba09e1fc301a3840ac55f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005576", "prompt": "Compute: -9987 + (-51229 + (-33201))", "solution_steps": ["Add: -51229 + (-33201) = -84430", "Add: -9987 + (-84430) = -94417"], "final_answer": "-94417", "answer_type": "integer", "kind": "expression", "math_text": "-9987 + (-51229 + (-33201))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9987, \"b\": -51229, \"c\": -33201}", "seed": "10259457725289377181", "semantic_fingerprint": "sha256:f178bd806853e2adc769f90ef65302a0b0a0003d7288b6f8bffd3d590edee3a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005577", "prompt": "What is (-9426 + 11102 + (-94866)) * (-31559 + (-3658))?", "solution_steps": ["Add: -9426 + 11102 = 1676", "Add: 1676 + (-94866) = -93190", "Add: -31559 + (-3658) = -35217", "Multiply: -93190 * (-35217) = 3281872230"], "final_answer": "3281872230", "answer_type": "integer", "kind": "expression", "math_text": "(-9426 + 11102 + (-94866)) * (-31559 + (-3658))", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9426, \"b\": 11102, \"c\": -94866, \"d\": -31559, \"e\": -3658}", "seed": "11248567271087184600", "semantic_fingerprint": "sha256:4bf89f9481de9875c21fa474dd29bb644ec290e456076a07674062d0f236bb00", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005578", "prompt": "Evaluate: -9209 * 4374", "solution_steps": ["Multiply: -9209 * 4374 = -40280166"], "final_answer": "-40280166", "answer_type": "integer", "kind": "expression", "math_text": "-9209 * 4374", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9209, \"b\": 4374}", "seed": "15327063235145590908", "semantic_fingerprint": "sha256:1645bde54310aefc83437400021d6b71f9780e0d9f35b07b75c540f7e9a0ed63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005579", "prompt": "Compute: -61717 * (-60263)", "solution_steps": ["Multiply: -61717 * (-60263) = 3719251571"], "final_answer": "3719251571", "answer_type": "integer", "kind": "expression", "math_text": "-61717 * (-60263)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -61717, \"b\": -60263}", "seed": "842525763245661250", "semantic_fingerprint": "sha256:1981de3a4c98c05153ac33f374ec551e6e6253664bc26e8174baaa36c15124e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005580", "prompt": "What is (2967 - (-44404)) / (-54426 + (-4510)) * (-3180)?", "solution_steps": ["Subtract: 2967 - (-44404) = 47371", "Add: -54426 + (-4510) = -58936", "Divide: 47371 / (-58936) = -47371/58936", "Multiply: (-47371/58936) * (-3180) = 710565/278"], "final_answer": "710565/278", "answer_type": "rational", "kind": "expression", "math_text": "(2967 - (-44404)) / (-54426 + (-4510)) * (-3180)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2967, \"b\": -44404, \"c\": -54426, \"d\": -4510, \"e\": -3180}", "seed": "1782269483131042622", "semantic_fingerprint": "sha256:e800155db811026abf1d091b09aece06f55d1913c5005aab14e14d0844cb53d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005581", "prompt": "Calculate: -83617 / (-90520) * (-16288)", "solution_steps": ["Divide: -83617 / (-90520) = 83617/90520", "Multiply: (83617/90520) * (-16288) = -170244212/11315"], "final_answer": "-170244212/11315", "answer_type": "rational", "kind": "expression", "math_text": "-83617 / (-90520) * (-16288)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83617, \"b\": -90520, \"c\": -16288}", "seed": "8069833214008711764", "semantic_fingerprint": "sha256:f735f27802f88a6a034901f4afc67a00398c7ea3871641028d25e085082c9722", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005582", "prompt": "Compute: 16136 / (-6541)", "solution_steps": ["Divide: 16136 / (-6541) = -16136/6541"], "final_answer": "-16136/6541", "answer_type": "rational", "kind": "expression", "math_text": "16136 / (-6541)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16136, \"b\": -6541}", "seed": "8088464261544933141", "semantic_fingerprint": "sha256:6c93fec938e6eb789bedf583bc944a49a1adeab36a66970ea438f48343f7b7d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005583", "prompt": "Compute: -20529 + (-1720)", "solution_steps": ["Add: -20529 + (-1720) = -22249"], "final_answer": "-22249", "answer_type": "integer", "kind": "expression", "math_text": "-20529 + (-1720)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -20529, \"b\": -1720}", "seed": "1748262431578715466", "semantic_fingerprint": "sha256:48d30af666045d58f8327ffc629fc97478e9bc0b262709c7ceacdfb515aa3da4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005584", "prompt": "Compute: 8447 / 9182", "solution_steps": ["Divide: 8447 / 9182 = 8447/9182"], "final_answer": "8447/9182", "answer_type": "rational", "kind": "expression", "math_text": "8447 / 9182", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8447, \"b\": 9182}", "seed": "14299446281935985377", "semantic_fingerprint": "sha256:591c1dd6aca599a1c2ca56d8a6da5e13b8c43006250340a5748b199b98cdab49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005585", "prompt": "Compute: 86030 + (62461 - 81972)", "solution_steps": ["Subtract: 62461 - 81972 = -19511", "Add: 86030 + (-19511) = 66519"], "final_answer": "66519", "answer_type": "integer", "kind": "expression", "math_text": "86030 + (62461 - 81972)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86030, \"b\": 62461, \"c\": 81972}", "seed": "9558060391721100361", "semantic_fingerprint": "sha256:d2f29ea30aa5d11cb52af92c69bcd2857c1a6c1af9d4b11e77321d3651989635", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005586", "prompt": "Calculate: -84922 / (6488 / 4240)", "solution_steps": ["Divide: 6488 / 4240 = 811/530", "Divide: -84922 / (811/530) = -45008660/811"], "final_answer": "-45008660/811", "answer_type": "rational", "kind": "expression", "math_text": "-84922 / (6488 / 4240)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84922, \"b\": 6488, \"c\": 4240}", "seed": "9648804823656419185", "semantic_fingerprint": "sha256:6d6d66382f9951794aa827b347309911abb3cb1d9793abc95fd5746116eb84ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005587", "prompt": "Solve for x: 24x + 13289 = x + 14370", "solution_steps": ["Subtract x from both sides: 23x + 13289 = 14370", "Subtract 13289 from both sides: 23x = 1081", "Divide both sides by 23: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 13289 = x + 14370", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 13289, \"d\": 14370, \"x\": 47}", "seed": "4180420813935131077", "semantic_fingerprint": "sha256:9381f64ab9e3a2325989b29d07e694df8bd1212622afeedf90fbf482326781f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005588", "prompt": "Solve the equation x + 60794 = 18(x + 6761) - 61890 for x.", "solution_steps": ["Expand: x + 60794 = 18x + 121698 - 61890", "Combine constants: x + 60794 = 18x + 59808", "Subtract 18x from both sides: -17x + 60794 = 59808", "Subtract 60794 from both sides: -17x = -986", "Divide both sides by -17: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60794 = 18(x + 6761) - 61890", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 60794, \"b\": 18, \"c\": 6761, \"e\": -61890, \"x\": 58}", "seed": "8294563048216242479", "semantic_fingerprint": "sha256:05c5cb72ddb26957709b5240e9bcfcec438fa871dcaca5be3ecc8e627a5106f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005589", "prompt": "Evaluate: -7662 - (-8883) * (-8413)", "solution_steps": ["Multiply: -8883 * (-8413) = 74732679", "Subtract: -7662 - 74732679 = -74740341"], "final_answer": "-74740341", "answer_type": "integer", "kind": "expression", "math_text": "-7662 - (-8883) * (-8413)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7662, \"b\": -8883, \"c\": -8413}", "seed": "6381951515725241428", "semantic_fingerprint": "sha256:6ca9cc25292cccf14225beb4d5455643b7026553169e86c717b649262aaaef52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005590", "prompt": "Evaluate: 66180 - (-2710 + (-8663))", "solution_steps": ["Add: -2710 + (-8663) = -11373", "Subtract: 66180 - (-11373) = 77553"], "final_answer": "77553", "answer_type": "integer", "kind": "expression", "math_text": "66180 - (-2710 + (-8663))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66180, \"b\": -2710, \"c\": -8663}", "seed": "12231955808024361701", "semantic_fingerprint": "sha256:48d6ac6e28a5023bae475e924c22323f46d85e612fbc7ff68fae2ff39b64876f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005591", "prompt": "Compute: -66473 * 26265", "solution_steps": ["Multiply: -66473 * 26265 = -1745913345"], "final_answer": "-1745913345", "answer_type": "integer", "kind": "expression", "math_text": "-66473 * 26265", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -66473, \"b\": 26265}", "seed": "9319940627972435516", "semantic_fingerprint": "sha256:d2e6f8ec96e183602abac81f11ef4788e49258564944871f15a585dd4100b61a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005592", "prompt": "What is 4792 + (6784 + 2733 - (-5410 + 40755) + 93504)?", "solution_steps": ["Add: 6784 + 2733 = 9517", "Add: -5410 + 40755 = 35345", "Subtract: 9517 - 35345 = -25828", "Add: -25828 + 93504 = 67676", "Add: 4792 + 67676 = 72468"], "final_answer": "72468", "answer_type": "integer", "kind": "expression", "math_text": "4792 + (6784 + 2733 - (-5410 + 40755) + 93504)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- (+ n n) (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4792, \"b\": 6784, \"c\": 2733, \"d\": -5410, \"e\": 40755, \"f\": 93504}", "seed": "12334192871662766080", "semantic_fingerprint": "sha256:f4ac6e1637d6065df01e4391f66275657ddfe4954c3e8cdbacbf242f6d308a86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005593", "prompt": "Evaluate: 35486 + 8087 - (-31591 + (3548 - 67422))", "solution_steps": ["Add: 35486 + 8087 = 43573", "Subtract: 3548 - 67422 = -63874", "Add: -31591 + (-63874) = -95465", "Subtract: 43573 - (-95465) = 139038"], "final_answer": "139038", "answer_type": "integer", "kind": "expression", "math_text": "35486 + 8087 - (-31591 + (3548 - 67422))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35486, \"b\": 8087, \"c\": -31591, \"d\": 3548, \"e\": 67422}", "seed": "7467411737954850503", "semantic_fingerprint": "sha256:e70e1e7ad58083c8096013dd0d6d12bbc4d533a4073ef196df89074e5c6f47fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005594", "prompt": "Solve for x: x + 3429 = 28x", "solution_steps": ["Subtract 28x from both sides: -27x + 3429 = 0", "Subtract 3429 from both sides: -27x = -3429", "Divide both sides by -27: x = 127"], "final_answer": "127", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3429 = 28x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 3429, \"x\": 127}", "seed": "13422833123403449323", "semantic_fingerprint": "sha256:50dc3274b3b19e57ff809696743a0fa5d4c719ca296140553bc4f69481ed2520", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005595", "prompt": "Find x: 29x = 3857", "solution_steps": ["Divide both sides by 29: x = 133"], "final_answer": "133", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = 3857", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 3857, \"x\": 133}", "seed": "4225865857731709564", "semantic_fingerprint": "sha256:168ab64e1232599e94b4f36388dc2f297c1cda3a6cb2d355232ef177267c3672", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005596", "prompt": "What is (-18518 - 51316 - (70631 - (-17293) / 13225)) * 8165?", "solution_steps": ["Subtract: -18518 - 51316 = -69834", "Divide: -17293 / 13225 = -17293/13225", "Subtract: 70631 - (-17293/13225) = 934112268/13225", "Subtract: -69834 - 934112268/13225 = -1857666918/13225", "Multiply: (-1857666918/13225) * 8165 = -131894351178/115"], "final_answer": "-131894351178/115", "answer_type": "rational", "kind": "expression", "math_text": "(-18518 - 51316 - (70631 - (-17293) / 13225)) * 8165", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (- n (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18518, \"b\": 51316, \"c\": 70631, \"d\": -17293, \"e\": 13225, \"f\": 8165}", "seed": "11822113041351785510", "semantic_fingerprint": "sha256:9711e70219349110bb22af3487df83bb88b11e2881b56d89c712ca1cf3f7213a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005597", "prompt": "Find x: 17(x - 4447) = x + 7709", "solution_steps": ["Expand: 17x - 75599 = x + 7709", "Subtract x from both sides: 16x - 75599 = 7709", "Add 75599 to both sides: 16x = 83308", "Divide both sides by 16: x = 20827/4"], "final_answer": "20827/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 4447) = x + 7709", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4447, \"c\": 7709}", "seed": "3039732318509863541", "semantic_fingerprint": "sha256:79a13b514155cb16bfe90dd46486003394d5b67a226302a9f2c558bea489eade", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005598", "prompt": "Evaluate: 6217 / 9876", "solution_steps": ["Divide: 6217 / 9876 = 6217/9876"], "final_answer": "6217/9876", "answer_type": "rational", "kind": "expression", "math_text": "6217 / 9876", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6217, \"b\": 9876}", "seed": "10109646159266876410", "semantic_fingerprint": "sha256:a28f8f087261a5eb08aea35f2dba683a45576bf240b33d4349ece8b5a67b215c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005599", "prompt": "Evaluate: -7796 - 2665 / 4118", "solution_steps": ["Divide: 2665 / 4118 = 2665/4118", "Subtract: -7796 - 2665/4118 = -32106593/4118"], "final_answer": "-32106593/4118", "answer_type": "rational", "kind": "expression", "math_text": "-7796 - 2665 / 4118", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7796, \"b\": 2665, \"c\": 4118}", "seed": "3836074922789813025", "semantic_fingerprint": "sha256:775bddad36aa7a8f6b7c3b0c76797182e58115a1071db0ff636c4cd8106b40e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005600", "prompt": "What is 53186 - 2675?", "solution_steps": ["Subtract: 53186 - 2675 = 50511"], "final_answer": "50511", "answer_type": "integer", "kind": "expression", "math_text": "53186 - 2675", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 53186, \"b\": 2675}", "seed": "11545757114820971312", "semantic_fingerprint": "sha256:210bf69a869bba10c547143442d2a848261a67e036cd4570bd11e63f194dfac0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005601", "prompt": "Calculate: 12507 / 5703 - 16601", "solution_steps": ["Divide: 12507 / 5703 = 4169/1901", "Subtract: 4169/1901 - 16601 = -31554332/1901"], "final_answer": "-31554332/1901", "answer_type": "rational", "kind": "expression", "math_text": "12507 / 5703 - 16601", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12507, \"b\": 5703, \"c\": 16601}", "seed": "17058450554607594400", "semantic_fingerprint": "sha256:efd514f4b97a9abf91716b746e5370709993567ab3826dacc1802e55b06a562d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005602", "prompt": "Evaluate: 2613 - 7065", "solution_steps": ["Subtract: 2613 - 7065 = -4452"], "final_answer": "-4452", "answer_type": "integer", "kind": "expression", "math_text": "2613 - 7065", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2613, \"b\": 7065}", "seed": "4162491892889300120", "semantic_fingerprint": "sha256:0b2519c1ef8ed548ffeeee600a5fa33b46db7d7094c42443f5338655b4a332fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005603", "prompt": "Solve for x: x - 53820 = 33(x - 1500)", "solution_steps": ["Expand: x - 53820 = 33x - 49500", "Subtract 33x from both sides: -32x - 53820 = -49500", "Add 53820 to both sides: -32x = 4320", "Divide both sides by -32: x = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 53820 = 33(x - 1500)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1500, \"d\": -53820, \"x\": -135}", "seed": "13064234430287654867", "semantic_fingerprint": "sha256:f4dc825c9f2d576b4ad99f20bab7cea340b5c3c117d6889ed8de87ab94cd64d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005604", "prompt": "What is -99413 * (-42654 / 29509)?", "solution_steps": ["Divide: -42654 / 29509 = -42654/29509", "Multiply: -99413 * (-42654/29509) = 4240362102/29509"], "final_answer": "4240362102/29509", "answer_type": "rational", "kind": "expression", "math_text": "-99413 * (-42654 / 29509)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99413, \"b\": -42654, \"c\": 29509}", "seed": "6262269299740139343", "semantic_fingerprint": "sha256:3d0d479782707ca4e050c21ba7ec9d02e3b7cc42e11cb82e8033cb977745706d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005605", "prompt": "Evaluate: -75505 + (-6369) + (-6476)", "solution_steps": ["Add: -75505 + (-6369) = -81874", "Add: -81874 + (-6476) = -88350"], "final_answer": "-88350", "answer_type": "integer", "kind": "expression", "math_text": "-75505 + (-6369) + (-6476)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75505, \"b\": -6369, \"c\": -6476}", "seed": "6380489528712796195", "semantic_fingerprint": "sha256:da762712207f5eb706d76a082fc6f1a5b12f0d51eceaf03d01061da859a18c06", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005606", "prompt": "Calculate: 6246 + 6266", "solution_steps": ["Add: 6246 + 6266 = 12512"], "final_answer": "12512", "answer_type": "integer", "kind": "expression", "math_text": "6246 + 6266", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6246, \"b\": 6266}", "seed": "16614467157171746767", "semantic_fingerprint": "sha256:23f6e0ef068b4c8ba7d43f7bbaf301efed38cba9b9364980bd8fbf3e3adcdaf7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005607", "prompt": "Compute: -1576 / (-9623)", "solution_steps": ["Divide: -1576 / (-9623) = 1576/9623"], "final_answer": "1576/9623", "answer_type": "rational", "kind": "expression", "math_text": "-1576 / (-9623)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1576, \"b\": -9623}", "seed": "3331743267942553256", "semantic_fingerprint": "sha256:cc7d4c50fa4ab62bf4dc596dbda3edeeb1d00ff77f6410bf719ac5bbcf56934e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005608", "prompt": "What value of x satisfies -38x + 96856 = 32(x - 49922)?", "solution_steps": ["Expand: -38x + 96856 = 32x - 1597504", "Subtract 32x from both sides: -70x + 96856 = -1597504", "Subtract 96856 from both sides: -70x = -1694360", "Divide both sides by -70: x = 169436/7"], "final_answer": "169436/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x + 96856 = 32(x - 49922)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 96856, \"c\": 32, \"d\": 49922}", "seed": "12958118227526969187", "semantic_fingerprint": "sha256:462bdd20655a7531f79cc896f2cf70595829f34fabdfccba54c3be8ccae43c11", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005609", "prompt": "Evaluate: -7478 * (6950 - (-8767) - 24787 / (-54766 + 54873))", "solution_steps": ["Subtract: 6950 - (-8767) = 15717", "Add: -54766 + 54873 = 107", "Divide: 24787 / 107 = 24787/107", "Subtract: 15717 - 24787/107 = 1656932/107", "Multiply: -7478 * (1656932/107) = -12390537496/107"], "final_answer": "-12390537496/107", "answer_type": "rational", "kind": "expression", "math_text": "-7478 * (6950 - (-8767) - 24787 / (-54766 + 54873))", "variable": null, "family": "expression_5op", "shape": "(* n (- (- n n) (/ n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7478, \"b\": 6950, \"c\": -8767, \"d\": 24787, \"e\": -54766, \"f\": 54873}", "seed": "5479876308337124176", "semantic_fingerprint": "sha256:b70c838acbaa39de7551c426c8155359b51624a3c14fb5c09b6cb279a7bddae0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005610", "prompt": "Compute: (-59379 + 68023) * 3422 * 9901", "solution_steps": ["Add: -59379 + 68023 = 8644", "Multiply: 8644 * 3422 = 29579768", "Multiply: 29579768 * 9901 = 292869282968"], "final_answer": "292869282968", "answer_type": "integer", "kind": "expression", "math_text": "(-59379 + 68023) * 3422 * 9901", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -59379, \"b\": 68023, \"c\": 3422, \"d\": 9901}", "seed": "16512782827886523277", "semantic_fingerprint": "sha256:9a80aea4da800f80f22c85b1bea9584ef7c96c6a0396876966e912f17deaae25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005611", "prompt": "Solve the equation -38x = x - 1911 for x.", "solution_steps": ["Subtract x from both sides: -39x = -1911", "Divide both sides by -39: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x = x - 1911", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"c\": -1911, \"x\": 49}", "seed": "6086556896665674935", "semantic_fingerprint": "sha256:b6505c23a81ed8e04e2fad3411b7a2bf232650bcac9d12a63e8fe8371ba75ed9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005612", "prompt": "Solve the equation 26(x - 4804) - 6689 = 25(x + 7742) for x.", "solution_steps": ["Expand: 26x - 124904 - 6689 = 25(x + 7742)", "Expand: 26x - 124904 - 6689 = 25x + 193550", "Combine constants: 26x - 131593 = 25x + 193550", "Subtract 25x from both sides: x - 131593 = 193550", "Add 131593 to both sides: x = 325143"], "final_answer": "325143", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 4804) - 6689 = 25(x + 7742)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 4804, \"c\": 6689, \"d\": 25, \"e\": 7742}", "seed": "17581504867466444946", "semantic_fingerprint": "sha256:50ff5da1c552363f23de2169ad07cf2b004c0c21541394c633199d3263b9cb7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005613", "prompt": "Solve the equation 29(x - 2343) = x - 26151 for x.", "solution_steps": ["Expand: 29x - 67947 = x - 26151", "Subtract x from both sides: 28x - 67947 = -26151", "Add 67947 to both sides: 28x = 41796", "Divide both sides by 28: x = 10449/7"], "final_answer": "10449/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 2343) = x - 26151", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2343, \"c\": 26151}", "seed": "6149685152881701082", "semantic_fingerprint": "sha256:52bb4df75e6a79ded956693f3adbbb1822b4b4307accfc92e7727ecfee1dd9e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005614", "prompt": "Evaluate: 2290 - (5219 + 9496 / (-39477))", "solution_steps": ["Divide: 9496 / (-39477) = -9496/39477", "Add: 5219 + (-9496/39477) = 206020967/39477", "Subtract: 2290 - 206020967/39477 = -115618637/39477"], "final_answer": "-115618637/39477", "answer_type": "rational", "kind": "expression", "math_text": "2290 - (5219 + 9496 / (-39477))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2290, \"b\": 5219, \"c\": 9496, \"d\": -39477}", "seed": "14086025524959126937", "semantic_fingerprint": "sha256:20bde481df3e914f111fcabb3a8d44559467c075cff82ffdda43a9766248e2e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005615", "prompt": "What is 98531 + (-3802)?", "solution_steps": ["Add: 98531 + (-3802) = 94729"], "final_answer": "94729", "answer_type": "integer", "kind": "expression", "math_text": "98531 + (-3802)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98531, \"b\": -3802}", "seed": "730063424850053642", "semantic_fingerprint": "sha256:322c10458352ddc051309e46c4eb7461db582a672322118aa5d1b01f9aa8f2af", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005616", "prompt": "What is -2616 - (2871 + (-4216))?", "solution_steps": ["Add: 2871 + (-4216) = -1345", "Subtract: -2616 - (-1345) = -1271"], "final_answer": "-1271", "answer_type": "integer", "kind": "expression", "math_text": "-2616 - (2871 + (-4216))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2616, \"b\": 2871, \"c\": -4216}", "seed": "4285071241288057546", "semantic_fingerprint": "sha256:94a6daaa8bb9355d43a9498d8e3b0f39f1539fae29c2c0679cb288d41c03ef9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005617", "prompt": "What is 94941 + 55470 * (-1075)?", "solution_steps": ["Multiply: 55470 * (-1075) = -59630250", "Add: 94941 + (-59630250) = -59535309"], "final_answer": "-59535309", "answer_type": "integer", "kind": "expression", "math_text": "94941 + 55470 * (-1075)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94941, \"b\": 55470, \"c\": -1075}", "seed": "12961341677604106463", "semantic_fingerprint": "sha256:bf8b4e4103e2a58844aaafa13d9baf48acd20343fa8abbaf6127e0728cf56b22", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005618", "prompt": "Find x: 25(x + 4329) = 31(x + 4795) - 40900", "solution_steps": ["Expand: 25x + 108225 = 31(x + 4795) - 40900", "Expand: 25x + 108225 = 31x + 148645 - 40900", "Combine constants: 25x + 108225 = 31x + 107745", "Subtract 31x from both sides: -6x + 108225 = 107745", "Subtract 108225 from both sides: -6x = -480", "Divide both sides by -6: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 4329) = 31(x + 4795) - 40900", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4329, \"c\": 31, \"d\": 4795, \"f\": -40900, \"x\": 80}", "seed": "2625260681726255241", "semantic_fingerprint": "sha256:0ea30e060126e7590c46528d0155ec2ec2d364f850487d908a086f51b5a8ce2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005619", "prompt": "Evaluate: (4976 - (-64177)) / (-6193)", "solution_steps": ["Subtract: 4976 - (-64177) = 69153", "Divide: 69153 / (-6193) = -69153/6193"], "final_answer": "-69153/6193", "answer_type": "rational", "kind": "expression", "math_text": "(4976 - (-64177)) / (-6193)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4976, \"b\": -64177, \"c\": -6193}", "seed": "5263314183604125280", "semantic_fingerprint": "sha256:5df65b5e2327536e499a2bf9b3b4374b8077089afbb61487445e265d1c8a0bc0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005620", "prompt": "Evaluate: -8426 * (-21147) - (-3411) - (-46090)", "solution_steps": ["Multiply: -8426 * (-21147) = 178184622", "Subtract: 178184622 - (-3411) = 178188033", "Subtract: 178188033 - (-46090) = 178234123"], "final_answer": "178234123", "answer_type": "integer", "kind": "expression", "math_text": "-8426 * (-21147) - (-3411) - (-46090)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8426, \"b\": -21147, \"c\": -3411, \"d\": -46090}", "seed": "2458244244773090082", "semantic_fingerprint": "sha256:8f4eb20aaabdb26e8b1af6c534b441720f9435a8c39436eaf3be19b816ccff99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005621", "prompt": "Find x: x = 17(x + 4770) + 3899", "solution_steps": ["Expand: x = 17x + 81090 + 3899", "Combine constants: x = 17x + 84989", "Subtract 17x from both sides: -16x = 84989", "Divide both sides by -16: x = -84989/16"], "final_answer": "-84989/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17(x + 4770) + 3899", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4770, \"c\": 3899}", "seed": "7381190122763851317", "semantic_fingerprint": "sha256:7ce5f4d5e8f686f46228b43003052cc6f416f252633d5f74a8bd6d53064064e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005622", "prompt": "Compute: -3139 - (-3323) - 7873 - (-3129)", "solution_steps": ["Subtract: -3139 - (-3323) = 184", "Subtract: 184 - 7873 = -7689", "Subtract: -7689 - (-3129) = -4560"], "final_answer": "-4560", "answer_type": "integer", "kind": "expression", "math_text": "-3139 - (-3323) - 7873 - (-3129)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3139, \"b\": -3323, \"c\": 7873, \"d\": -3129}", "seed": "8825618706415920799", "semantic_fingerprint": "sha256:9ef7864cf96a347428da0e69ecd36cd7f1a5a91d0675ada56378d7a4d0fa7725", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005623", "prompt": "Compute: (1486 - 1236 + (-23781)) * (-9301 - 9924)", "solution_steps": ["Subtract: 1486 - 1236 = 250", "Add: 250 + (-23781) = -23531", "Subtract: -9301 - 9924 = -19225", "Multiply: -23531 * (-19225) = 452383475"], "final_answer": "452383475", "answer_type": "integer", "kind": "expression", "math_text": "(1486 - 1236 + (-23781)) * (-9301 - 9924)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1486, \"b\": 1236, \"c\": -23781, \"d\": -9301, \"e\": 9924}", "seed": "18050847678673673467", "semantic_fingerprint": "sha256:dd497d66b9cbf4feaaae29c522decf1b42a0fdf4883be40b3db8dba412ab5321", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005624", "prompt": "Compute: -53650 / 9483", "solution_steps": ["Divide: -53650 / 9483 = -1850/327"], "final_answer": "-1850/327", "answer_type": "rational", "kind": "expression", "math_text": "-53650 / 9483", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53650, \"b\": 9483}", "seed": "15097039558292103887", "semantic_fingerprint": "sha256:66b415b1bad3db81e7a7fd7b187bfa1e33714ab768d81ea3730160af6a217d57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005625", "prompt": "Solve for x: x + 7912 = -1416", "solution_steps": ["Subtract 7912 from both sides: x = -9328"], "final_answer": "-9328", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7912 = -1416", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7912, \"b\": -1416}", "seed": "9008126642129263246", "semantic_fingerprint": "sha256:5d879321a902ecdfc3c16c51747224fff5a1ce3cd662707798650e2ed7daddfa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005626", "prompt": "What is 1282 + 7074?", "solution_steps": ["Add: 1282 + 7074 = 8356"], "final_answer": "8356", "answer_type": "integer", "kind": "expression", "math_text": "1282 + 7074", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1282, \"b\": 7074}", "seed": "14196865085214971496", "semantic_fingerprint": "sha256:690155d733bc2e8c0dc6cf2edd360fb7696e8d8b142b7e895f0af51f436ab515", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005627", "prompt": "Find x: x + 59693 = -25x", "solution_steps": ["Add 25x to both sides: 26x + 59693 = 0", "Subtract 59693 from both sides: 26x = -59693", "Divide both sides by 26: x = -59693/26"], "final_answer": "-59693/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 59693 = -25x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59693, \"b\": -25}", "seed": "2299905062414511716", "semantic_fingerprint": "sha256:b068e9ecfc1c0ef31decb98d65b71eacc22711e81be4a16a0646c89699408813", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005628", "prompt": "What value of x satisfies 35(x - 4840) = -81140?", "solution_steps": ["Expand: 35x - 169400 = -81140", "Add 169400 to both sides: 35x = 88260", "Divide both sides by 35: x = 17652/7"], "final_answer": "17652/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 4840) = -81140", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4840, \"c\": -81140}", "seed": "2392522164253743983", "semantic_fingerprint": "sha256:ae476a7a1fee782204cfde768547193dc6eaecd91f99931d3e462885acea0bc4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005629", "prompt": "Solve the equation -13(x + 1889) - 6902 = -16(x - 7374) - 3395 for x.", "solution_steps": ["Expand: -13x - 24557 - 6902 = -16(x - 7374) - 3395", "Expand: -13x - 24557 - 6902 = -16x + 117984 - 3395", "Combine constants: -13x - 31459 = -16x + 117984 - 3395", "Combine constants: -13x - 31459 = -16x + 114589", "Add 16x to both sides: 3x - 31459 = 114589", "Add 31459 to both sides: 3x = 146048", "Divide both sides by 3: x = 146048/3"], "final_answer": "146048/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 1889) - 6902 = -16(x - 7374) - 3395", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 1889, \"c\": 6902, \"d\": -16, \"e\": 7374, \"f\": 3395}", "seed": "17327376066892289840", "semantic_fingerprint": "sha256:68023924e93d301059ec2ae5adddbf983f650468b5b4252dcbb42b285529c97d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005630", "prompt": "Solve the equation -36(x - 8559) = -22x + 4353 for x.", "solution_steps": ["Expand: -36x + 308124 = -22x + 4353", "Add 22x to both sides: -14x + 308124 = 4353", "Subtract 308124 from both sides: -14x = -303771", "Divide both sides by -14: x = 303771/14"], "final_answer": "303771/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x - 8559) = -22x + 4353", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 8559, \"c\": -22, \"d\": 4353}", "seed": "4676951285263524291", "semantic_fingerprint": "sha256:824c914ee50ec656c3dbcc9666c8d5430f635bed9b6a3e058496370a13b7f4ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005631", "prompt": "Solve the equation -15x + 77683 = 14(x - 7500) - 37614 for x.", "solution_steps": ["Expand: -15x + 77683 = 14x - 105000 - 37614", "Combine constants: -15x + 77683 = 14x - 142614", "Subtract 14x from both sides: -29x + 77683 = -142614", "Subtract 77683 from both sides: -29x = -220297", "Divide both sides by -29: x = 220297/29"], "final_answer": "220297/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15x + 77683 = 14(x - 7500) - 37614", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 77683, \"c\": 14, \"d\": 7500, \"e\": 37614}", "seed": "11486004072591635646", "semantic_fingerprint": "sha256:245ebd52d68cff3b9ad6950124d993e1b83c2b4ff77ac06331c7ab6c75c1297a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005632", "prompt": "Solve for x: x - 2840 = 15x", "solution_steps": ["Subtract 15x from both sides: -14x - 2840 = 0", "Add 2840 to both sides: -14x = 2840", "Divide both sides by -14: x = -1420/7"], "final_answer": "-1420/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2840 = 15x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2840, \"b\": 15}", "seed": "2898946815526100496", "semantic_fingerprint": "sha256:c92e3a6509c8836fe36b43b1d1d5b33c1143b4a9ddb06861ec44f299f8488d9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005633", "prompt": "What value of x satisfies 38x = -24x - 8060?", "solution_steps": ["Add 24x to both sides: 62x = -8060", "Divide both sides by 62: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = -24x - 8060", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": -24, \"d\": -8060, \"x\": -130}", "seed": "6444932253616586590", "semantic_fingerprint": "sha256:b5df196bdf9b14e46d6db4d8b02e1ae314ba1d5a0f0b68771c259eb4600fefb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005634", "prompt": "Evaluate: -5648 * 12376", "solution_steps": ["Multiply: -5648 * 12376 = -69899648"], "final_answer": "-69899648", "answer_type": "integer", "kind": "expression", "math_text": "-5648 * 12376", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5648, \"b\": 12376}", "seed": "13654636952882705584", "semantic_fingerprint": "sha256:a460a478be14b3062cd89b776e725770ee905c9e78cea489678d3428f1ad628b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005635", "prompt": "Calculate: -29946 * (-6709 - 9673 + (-4873 - (-47638)))", "solution_steps": ["Subtract: -6709 - 9673 = -16382", "Subtract: -4873 - (-47638) = 42765", "Add: -16382 + 42765 = 26383", "Multiply: -29946 * 26383 = -790065318"], "final_answer": "-790065318", "answer_type": "integer", "kind": "expression", "math_text": "-29946 * (-6709 - 9673 + (-4873 - (-47638)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29946, \"b\": -6709, \"c\": 9673, \"d\": -4873, \"e\": -47638}", "seed": "15011020067485909816", "semantic_fingerprint": "sha256:7a54b5f15f561f576ce73fffde20e9f0ee43d8faa4c53b9cd5debd7b25ab0361", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005636", "prompt": "Compute: 2050 + (-5287) + (-8912) - (8376 - 50081)", "solution_steps": ["Add: 2050 + (-5287) = -3237", "Add: -3237 + (-8912) = -12149", "Subtract: 8376 - 50081 = -41705", "Subtract: -12149 - (-41705) = 29556"], "final_answer": "29556", "answer_type": "integer", "kind": "expression", "math_text": "2050 + (-5287) + (-8912) - (8376 - 50081)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2050, \"b\": -5287, \"c\": -8912, \"d\": 8376, \"e\": 50081}", "seed": "14785046044635882321", "semantic_fingerprint": "sha256:eff5a6f72e118866dc22a70bf9b0161e27aed5fdbb1aabd085941d11310275bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005637", "prompt": "Calculate: -13269 * (-57528 + 6414)", "solution_steps": ["Add: -57528 + 6414 = -51114", "Multiply: -13269 * (-51114) = 678231666"], "final_answer": "678231666", "answer_type": "integer", "kind": "expression", "math_text": "-13269 * (-57528 + 6414)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13269, \"b\": -57528, \"c\": 6414}", "seed": "895084905355421050", "semantic_fingerprint": "sha256:b02ad1fd84b110b3a62cf0cdd6aaa7f09f033cbfac4d125405ea5ee005a4cc52", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005638", "prompt": "Compute: -56171 / (-15497)", "solution_steps": ["Divide: -56171 / (-15497) = 56171/15497"], "final_answer": "56171/15497", "answer_type": "rational", "kind": "expression", "math_text": "-56171 / (-15497)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56171, \"b\": -15497}", "seed": "2863613817822593829", "semantic_fingerprint": "sha256:269b0c2abd6350d934d7b256889f0fe319efc3dd03afac0e024d5c68d54411b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005639", "prompt": "Calculate: -3680 / (-2879) - (-49590)", "solution_steps": ["Divide: -3680 / (-2879) = 3680/2879", "Subtract: 3680/2879 - (-49590) = 142773290/2879"], "final_answer": "142773290/2879", "answer_type": "rational", "kind": "expression", "math_text": "-3680 / (-2879) - (-49590)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3680, \"b\": -2879, \"c\": -49590}", "seed": "15909991972598041746", "semantic_fingerprint": "sha256:b79d57775052a4eedb4f7295b0890b81e2f57d302e38be1a30472ed3ad623f88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005640", "prompt": "Evaluate: 26652 - 7294 * (44691 + (-19583))", "solution_steps": ["Add: 44691 + (-19583) = 25108", "Multiply: 7294 * 25108 = 183137752", "Subtract: 26652 - 183137752 = -183111100"], "final_answer": "-183111100", "answer_type": "integer", "kind": "expression", "math_text": "26652 - 7294 * (44691 + (-19583))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26652, \"b\": 7294, \"c\": 44691, \"d\": -19583}", "seed": "16228551844958732214", "semantic_fingerprint": "sha256:900dea038fa7913ca288a4997486dd24c4f1280ecd95b67076075891fa8f2736", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005641", "prompt": "Evaluate: 3161 * (-51127) - (-6049)", "solution_steps": ["Multiply: 3161 * (-51127) = -161612447", "Subtract: -161612447 - (-6049) = -161606398"], "final_answer": "-161606398", "answer_type": "integer", "kind": "expression", "math_text": "3161 * (-51127) - (-6049)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3161, \"b\": -51127, \"c\": -6049}", "seed": "15493391166678417155", "semantic_fingerprint": "sha256:4d647360600535f21d2947d3fa58a250071ada8ad8a0d7e0127e1c5e873a5603", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005642", "prompt": "Compute: -11304 / 91358 - (-7204)", "solution_steps": ["Divide: -11304 / 91358 = -5652/45679", "Subtract: -5652/45679 - (-7204) = 329065864/45679"], "final_answer": "329065864/45679", "answer_type": "rational", "kind": "expression", "math_text": "-11304 / 91358 - (-7204)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11304, \"b\": 91358, \"c\": -7204}", "seed": "17347050844631659458", "semantic_fingerprint": "sha256:8898839819dd1f14bb580d3528092d40759cb3828203fdd984f67ba0abb3508c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005643", "prompt": "What value of x satisfies x - 9725 = 35x - 12717?", "solution_steps": ["Subtract 35x from both sides: -34x - 9725 = -12717", "Add 9725 to both sides: -34x = -2992", "Divide both sides by -34: x = 88"], "final_answer": "88", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9725 = 35x - 12717", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9725, \"b\": 35, \"d\": -12717, \"x\": 88}", "seed": "10150948110867027440", "semantic_fingerprint": "sha256:8472e454d14a3475190649756c6c920fa25e1bcc7cfdb083fcc07955c8afa437", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005644", "prompt": "Calculate: -6223 * (66228 - 5774)", "solution_steps": ["Subtract: 66228 - 5774 = 60454", "Multiply: -6223 * 60454 = -376205242"], "final_answer": "-376205242", "answer_type": "integer", "kind": "expression", "math_text": "-6223 * (66228 - 5774)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6223, \"b\": 66228, \"c\": 5774}", "seed": "10077815776301654800", "semantic_fingerprint": "sha256:b34b9999ce7bf3605be2df992316172e95bb22867e821479260f42f25708a9a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005645", "prompt": "Solve the equation 35x - 9709 = 19915 for x.", "solution_steps": ["Add 9709 to both sides: 35x = 29624", "Divide both sides by 35: x = 4232/5"], "final_answer": "4232/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x - 9709 = 19915", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9709, \"c\": 19915}", "seed": "9737335808621353096", "semantic_fingerprint": "sha256:3f329c68181e492ae76ac57820587d8eac6059889b07a41a6948289cc2a9623e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005646", "prompt": "Compute: 5808 * (-6065) + (-3502 + (-1323))", "solution_steps": ["Multiply: 5808 * (-6065) = -35225520", "Add: -3502 + (-1323) = -4825", "Add: -35225520 + (-4825) = -35230345"], "final_answer": "-35230345", "answer_type": "integer", "kind": "expression", "math_text": "5808 * (-6065) + (-3502 + (-1323))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5808, \"b\": -6065, \"c\": -3502, \"d\": -1323}", "seed": "1902553884767871508", "semantic_fingerprint": "sha256:81f559ebc4bc9126e51c3ab3b3bc93daca66cd2dc29e0b9e9d7f15a121e149c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005647", "prompt": "Compute: 9851 * (-76018)", "solution_steps": ["Multiply: 9851 * (-76018) = -748853318"], "final_answer": "-748853318", "answer_type": "integer", "kind": "expression", "math_text": "9851 * (-76018)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9851, \"b\": -76018}", "seed": "16868898808938586460", "semantic_fingerprint": "sha256:eafb5b0d574c6fe392d6567a10e33cc3169ba88d5190782b5ea5db374c5df84d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005648", "prompt": "Solve for x: -15(x - 1254) = 15930", "solution_steps": ["Expand: -15x + 18810 = 15930", "Subtract 18810 from both sides: -15x = -2880", "Divide both sides by -15: x = 192"], "final_answer": "192", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x - 1254) = 15930", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 1254, \"d\": 15930, \"x\": 192}", "seed": "13892918844072739784", "semantic_fingerprint": "sha256:cbd8784a084737ef8684e12755fec2240f813aa6764f7a420ca15f3d200c357c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005649", "prompt": "Calculate: -4351 + (-98095) + (-14353)", "solution_steps": ["Add: -4351 + (-98095) = -102446", "Add: -102446 + (-14353) = -116799"], "final_answer": "-116799", "answer_type": "integer", "kind": "expression", "math_text": "-4351 + (-98095) + (-14353)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4351, \"b\": -98095, \"c\": -14353}", "seed": "14659282987420880554", "semantic_fingerprint": "sha256:caa2f49aac69b0b02614f7dcaeba5a87091967828063ccc6702711316f7a8168", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005650", "prompt": "Compute: -6303 * (-1583)", "solution_steps": ["Multiply: -6303 * (-1583) = 9977649"], "final_answer": "9977649", "answer_type": "integer", "kind": "expression", "math_text": "-6303 * (-1583)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6303, \"b\": -1583}", "seed": "8680938344847567518", "semantic_fingerprint": "sha256:0654a846fcbbc101e3d03803f02ad2453ce7e2db92606bec625c9aff9611f6d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005651", "prompt": "Solve the equation 23x + 8857 = 34x + 7240 for x.", "solution_steps": ["Subtract 34x from both sides: -11x + 8857 = 7240", "Subtract 8857 from both sides: -11x = -1617", "Divide both sides by -11: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 8857 = 34x + 7240", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8857, \"c\": 34, \"e\": 7240, \"x\": 147}", "seed": "17903613730048034650", "semantic_fingerprint": "sha256:58757bc3715c4fc3f0b5612e99c9701ade382d7930430f863f2513250b060801", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005652", "prompt": "What is (-8169 + 7309 + 60124 + 96359) * 9087?", "solution_steps": ["Add: -8169 + 7309 = -860", "Add: -860 + 60124 = 59264", "Add: 59264 + 96359 = 155623", "Multiply: 155623 * 9087 = 1414146201"], "final_answer": "1414146201", "answer_type": "integer", "kind": "expression", "math_text": "(-8169 + 7309 + 60124 + 96359) * 9087", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8169, \"b\": 7309, \"c\": 60124, \"d\": 96359, \"e\": 9087}", "seed": "12281005291024539699", "semantic_fingerprint": "sha256:1f8c626feac39ddba639bffb55f1995058970bf337577ff20012b91f117fdfe7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005653", "prompt": "Evaluate: 22404 * 8528", "solution_steps": ["Multiply: 22404 * 8528 = 191061312"], "final_answer": "191061312", "answer_type": "integer", "kind": "expression", "math_text": "22404 * 8528", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 22404, \"b\": 8528}", "seed": "18016225948289252563", "semantic_fingerprint": "sha256:e7624478343ab55249dc88d1304fef25cb98721158359055b2b5f8ca6b3983c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005654", "prompt": "Solve for x: 16x - 2062 = x + 8436", "solution_steps": ["Subtract x from both sides: 15x - 2062 = 8436", "Add 2062 to both sides: 15x = 10498", "Divide both sides by 15: x = 10498/15"], "final_answer": "10498/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x - 2062 = x + 8436", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 2062, \"c\": 8436}", "seed": "10043764747849942377", "semantic_fingerprint": "sha256:668612aceb60edfdb5728dd68abcc5a4574a85df6e705f9d3b787ea136c9db99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005655", "prompt": "Compute: 2286 - (-66465 / (-5704) + 2760 * (-11314))", "solution_steps": ["Divide: -66465 / (-5704) = 66465/5704", "Multiply: 2760 * (-11314) = -31226640", "Add: 66465/5704 + (-31226640) = -178116688095/5704", "Subtract: 2286 - (-178116688095/5704) = 178129727439/5704"], "final_answer": "178129727439/5704", "answer_type": "rational", "kind": "expression", "math_text": "2286 - (-66465 / (-5704) + 2760 * (-11314))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2286, \"b\": -66465, \"c\": -5704, \"d\": 2760, \"e\": -11314}", "seed": "3036598566022230910", "semantic_fingerprint": "sha256:fefb7d4f31a477a0548764247297117fe862fa2751c41b00551400d11625dba1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005656", "prompt": "Compute: -91062 / 9885 - (-36471)", "solution_steps": ["Divide: -91062 / 9885 = -30354/3295", "Subtract: -30354/3295 - (-36471) = 120141591/3295"], "final_answer": "120141591/3295", "answer_type": "rational", "kind": "expression", "math_text": "-91062 / 9885 - (-36471)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91062, \"b\": 9885, \"c\": -36471}", "seed": "4428857064171377336", "semantic_fingerprint": "sha256:73800606a65f64e03ae8f14deba0b49ccb9f321f22b4ed2f54d349f4beec9c9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005657", "prompt": "What is (-2817 + 24709) / (-45178)?", "solution_steps": ["Add: -2817 + 24709 = 21892", "Divide: 21892 / (-45178) = -10946/22589"], "final_answer": "-10946/22589", "answer_type": "rational", "kind": "expression", "math_text": "(-2817 + 24709) / (-45178)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2817, \"b\": 24709, \"c\": -45178}", "seed": "12804361891701480989", "semantic_fingerprint": "sha256:b2e2e285f38a9c54b8a0b5acbe643e6e587a3e257f964ec73530fbb5a9198fac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005658", "prompt": "Compute: -5097 * 32952", "solution_steps": ["Multiply: -5097 * 32952 = -167956344"], "final_answer": "-167956344", "answer_type": "integer", "kind": "expression", "math_text": "-5097 * 32952", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5097, \"b\": 32952}", "seed": "6742057625596280711", "semantic_fingerprint": "sha256:9a2730631ed15567c2f07909b6fd81ce9278020e50e854f5c84a1d2002e8f86c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005659", "prompt": "Solve for x: x - 1799 = 14x - 3541", "solution_steps": ["Subtract 14x from both sides: -13x - 1799 = -3541", "Add 1799 to both sides: -13x = -1742", "Divide both sides by -13: x = 134"], "final_answer": "134", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1799 = 14x - 3541", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1799, \"b\": 14, \"d\": -3541, \"x\": 134}", "seed": "15413746691067218759", "semantic_fingerprint": "sha256:458e42cfe95e28fae426c415db3ec4edef21f608fe3cbb3871c4c9dfb4d66995", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005660", "prompt": "Calculate: 70950 * 9189 / (-1947)", "solution_steps": ["Multiply: 70950 * 9189 = 651959550", "Divide: 651959550 / (-1947) = -19756350/59"], "final_answer": "-19756350/59", "answer_type": "rational", "kind": "expression", "math_text": "70950 * 9189 / (-1947)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70950, \"b\": 9189, \"c\": -1947}", "seed": "8205035376407959871", "semantic_fingerprint": "sha256:62302ee19b03b440c96b2e7f33527b0ab47f43ca381d535606fdd76e79455de7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005661", "prompt": "Solve the equation -16x - 3848 = 34(x - 6059) - 9887 for x.", "solution_steps": ["Expand: -16x - 3848 = 34x - 206006 - 9887", "Combine constants: -16x - 3848 = 34x - 215893", "Subtract 34x from both sides: -50x - 3848 = -215893", "Add 3848 to both sides: -50x = -212045", "Divide both sides by -50: x = 42409/10"], "final_answer": "42409/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x - 3848 = 34(x - 6059) - 9887", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 3848, \"c\": 34, \"d\": 6059, \"e\": 9887}", "seed": "531427235422022044", "semantic_fingerprint": "sha256:6387d68aa9c8b854e1a74cad1c90d6abfc67f61a4e83a2cd00f62cc5cd726fbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005662", "prompt": "Solve the equation 26x + 2182 = 22x - 6457 for x.", "solution_steps": ["Subtract 22x from both sides: 4x + 2182 = -6457", "Subtract 2182 from both sides: 4x = -8639", "Divide both sides by 4: x = -8639/4"], "final_answer": "-8639/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 2182 = 22x - 6457", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2182, \"c\": 22, \"d\": 6457}", "seed": "8648451268774358120", "semantic_fingerprint": "sha256:763dbf33754d46ae24dc0d5f426952874b9aa36f7e5c266048d135f6b21c259d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005663", "prompt": "What value of x satisfies 16(x - 22107) + 54516 = 18x - 46082?", "solution_steps": ["Expand: 16x - 353712 + 54516 = 18x - 46082", "Combine constants: 16x - 299196 = 18x - 46082", "Subtract 18x from both sides: -2x - 299196 = -46082", "Add 299196 to both sides: -2x = 253114", "Divide both sides by -2: x = -126557"], "final_answer": "-126557", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 22107) + 54516 = 18x - 46082", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 22107, \"c\": 54516, \"d\": 18, \"e\": 46082}", "seed": "12973306972501848553", "semantic_fingerprint": "sha256:c5dc74458876c370ae1ab184c884507e7052995614f972a76cc6afe0b1bd62ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005664", "prompt": "Solve the equation 13x + 80585 = -39(x - 5829) for x.", "solution_steps": ["Expand: 13x + 80585 = -39x + 227331", "Add 39x to both sides: 52x + 80585 = 227331", "Subtract 80585 from both sides: 52x = 146746", "Divide both sides by 52: x = 73373/26"], "final_answer": "73373/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 80585 = -39(x - 5829)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 80585, \"c\": -39, \"d\": 5829}", "seed": "15612952538032285047", "semantic_fingerprint": "sha256:604247112e29339e3301c00006588ee7e03f876c1dff3bec4efa374f146b3788", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005665", "prompt": "What is -8785 / 5634?", "solution_steps": ["Divide: -8785 / 5634 = -8785/5634"], "final_answer": "-8785/5634", "answer_type": "rational", "kind": "expression", "math_text": "-8785 / 5634", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8785, \"b\": 5634}", "seed": "12452287201157242789", "semantic_fingerprint": "sha256:ece8159b52ca651bdbd7fb0e78c1d236dba1966310cb4b343d6097460eb615cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005666", "prompt": "Compute: -71997 * (2755 + (-39822))", "solution_steps": ["Add: 2755 + (-39822) = -37067", "Multiply: -71997 * (-37067) = 2668712799"], "final_answer": "2668712799", "answer_type": "integer", "kind": "expression", "math_text": "-71997 * (2755 + (-39822))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71997, \"b\": 2755, \"c\": -39822}", "seed": "3051324596681366620", "semantic_fingerprint": "sha256:ce6e6e206fb20d01bb4b45433637ad3d537b0688b2f5389ee1decc3bdbb30ace", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005667", "prompt": "Calculate: -84787 + 17972", "solution_steps": ["Add: -84787 + 17972 = -66815"], "final_answer": "-66815", "answer_type": "integer", "kind": "expression", "math_text": "-84787 + 17972", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -84787, \"b\": 17972}", "seed": "16753322895222529055", "semantic_fingerprint": "sha256:d72d9c6c3cd8bdbb86b7d19a90d4bdd1ccb4c60a0f76f548743738fe52379849", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005668", "prompt": "Solve the equation 21(x - 3623) = x for x.", "solution_steps": ["Expand: 21x - 76083 = x", "Subtract x from both sides: 20x - 76083 = 0", "Add 76083 to both sides: 20x = 76083", "Divide both sides by 20: x = 76083/20"], "final_answer": "76083/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 3623) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 3623}", "seed": "8856972425663097887", "semantic_fingerprint": "sha256:a6878742045915609484add89c10374983adadf820dff52f7f64bb3dfa590506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005669", "prompt": "What value of x satisfies 33x = x - 3648?", "solution_steps": ["Subtract x from both sides: 32x = -3648", "Divide both sides by 32: x = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = x - 3648", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": -3648, \"x\": -114}", "seed": "3792283542705463555", "semantic_fingerprint": "sha256:43d774fe3f5d9a8cbea82a4825959c50de572f02e0125d53dcbfdae578079408", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005670", "prompt": "What value of x satisfies -17x - 55500 = 20(x + 1481) - 82715?", "solution_steps": ["Expand: -17x - 55500 = 20x + 29620 - 82715", "Combine constants: -17x - 55500 = 20x - 53095", "Subtract 20x from both sides: -37x - 55500 = -53095", "Add 55500 to both sides: -37x = 2405", "Divide both sides by -37: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x - 55500 = 20(x + 1481) - 82715", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 55500, \"c\": 20, \"d\": 1481, \"f\": -82715, \"x\": -65}", "seed": "10977010600063027010", "semantic_fingerprint": "sha256:9a7b77f79633592170b4354e5b1d9869e7f4dbc7f5c41ac6152835dd742ad4c8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005671", "prompt": "Solve for x: 26(x + 81339) + 79334 = 38(x - 2173) + 7753", "solution_steps": ["Expand: 26x + 2114814 + 79334 = 38(x - 2173) + 7753", "Expand: 26x + 2114814 + 79334 = 38x - 82574 + 7753", "Combine constants: 26x + 2194148 = 38x - 82574 + 7753", "Combine constants: 26x + 2194148 = 38x - 74821", "Subtract 38x from both sides: -12x + 2194148 = -74821", "Subtract 2194148 from both sides: -12x = -2268969", "Divide both sides by -12: x = 756323/4"], "final_answer": "756323/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 81339) + 79334 = 38(x - 2173) + 7753", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 81339, \"c\": 79334, \"d\": 38, \"e\": 2173, \"f\": 7753}", "seed": "7566261550956000548", "semantic_fingerprint": "sha256:036227a7039a21651cf9b45ab5748cc787c99b54b0e32428497ee92df679c637", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005672", "prompt": "What value of x satisfies -38(x + 97237) - 7929 = 30(x + 23462) + 4604?", "solution_steps": ["Expand: -38x - 3695006 - 7929 = 30(x + 23462) + 4604", "Expand: -38x - 3695006 - 7929 = 30x + 703860 + 4604", "Combine constants: -38x - 3702935 = 30x + 703860 + 4604", "Combine constants: -38x - 3702935 = 30x + 708464", "Subtract 30x from both sides: -68x - 3702935 = 708464", "Add 3702935 to both sides: -68x = 4411399", "Divide both sides by -68: x = -4411399/68"], "final_answer": "-4411399/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 97237) - 7929 = 30(x + 23462) + 4604", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 97237, \"c\": 7929, \"d\": 30, \"e\": 23462, \"f\": 4604}", "seed": "6640411473411009963", "semantic_fingerprint": "sha256:bea1f2b29a009ea194d8c656cbc90570dab0a0d70de589323e56fab333d4d7a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005673", "prompt": "Calculate: (5787 - 3273) * (7207 + 1950) * 6143", "solution_steps": ["Subtract: 5787 - 3273 = 2514", "Add: 7207 + 1950 = 9157", "Multiply: 2514 * 9157 = 23020698", "Multiply: 23020698 * 6143 = 141416147814"], "final_answer": "141416147814", "answer_type": "integer", "kind": "expression", "math_text": "(5787 - 3273) * (7207 + 1950) * 6143", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5787, \"b\": 3273, \"c\": 7207, \"d\": 1950, \"e\": 6143}", "seed": "16317857185645695205", "semantic_fingerprint": "sha256:951b8eb5b7051d8ac93219e6c7625b7183507c13348ded43e27b877c2d86ed43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005674", "prompt": "Find x: x = -25(x - 75174)", "solution_steps": ["Expand: x = -25x + 1879350", "Add 25x to both sides: 26x = 1879350", "Divide both sides by 26: x = 939675/13"], "final_answer": "939675/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -25(x - 75174)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 75174}", "seed": "8811385104584725686", "semantic_fingerprint": "sha256:056bbd577782be2a2e8562442bedf142ffe902631dae51069af74e7bcec8c014", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005675", "prompt": "Compute: -7363 - 6750", "solution_steps": ["Subtract: -7363 - 6750 = -14113"], "final_answer": "-14113", "answer_type": "integer", "kind": "expression", "math_text": "-7363 - 6750", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7363, \"b\": 6750}", "seed": "6360983386419283327", "semantic_fingerprint": "sha256:7479e115ed667e05717cc5b9f973056b84c67cd4fd21084e447c1e2231514794", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005676", "prompt": "Solve the equation 40x = -3360 for x.", "solution_steps": ["Divide both sides by 40: x = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = -3360", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -3360, \"x\": -84}", "seed": "5087305447618317948", "semantic_fingerprint": "sha256:517d5614c27bbe8399a12adc3cebfa61a5cb11c943b108b3771e733c65d1394d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005677", "prompt": "Evaluate: -35433 + 1620 - 5564 * 8106 + (-7214)", "solution_steps": ["Add: -35433 + 1620 = -33813", "Multiply: 5564 * 8106 = 45101784", "Subtract: -33813 - 45101784 = -45135597", "Add: -45135597 + (-7214) = -45142811"], "final_answer": "-45142811", "answer_type": "integer", "kind": "expression", "math_text": "-35433 + 1620 - 5564 * 8106 + (-7214)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35433, \"b\": 1620, \"c\": 5564, \"d\": 8106, \"e\": -7214}", "seed": "17832238197547648992", "semantic_fingerprint": "sha256:e74df78c3f3e4fa8c22e2b4d7cf77f60cb2c9c822036fb5704a95bf1f1e78639", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005678", "prompt": "Compute: (65693 + (-8600)) * (-8426)", "solution_steps": ["Add: 65693 + (-8600) = 57093", "Multiply: 57093 * (-8426) = -481065618"], "final_answer": "-481065618", "answer_type": "integer", "kind": "expression", "math_text": "(65693 + (-8600)) * (-8426)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65693, \"b\": -8600, \"c\": -8426}", "seed": "7526215992549384113", "semantic_fingerprint": "sha256:b92ac7ea76fa0d8195cccda7301e9db58d65cb82287018223da94e744a415baf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005679", "prompt": "Calculate: 9223 / (-1500) + (79152 + 96687)", "solution_steps": ["Divide: 9223 / (-1500) = -9223/1500", "Add: 79152 + 96687 = 175839", "Add: -9223/1500 + 175839 = 263749277/1500"], "final_answer": "263749277/1500", "answer_type": "rational", "kind": "expression", "math_text": "9223 / (-1500) + (79152 + 96687)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9223, \"b\": -1500, \"c\": 79152, \"d\": 96687}", "seed": "8982793373251854808", "semantic_fingerprint": "sha256:d0b2c8c35d2dc813915da093688946fc9eb5957992f7cb27b21edbb4933cf561", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005680", "prompt": "Evaluate: -5448 + 44493", "solution_steps": ["Add: -5448 + 44493 = 39045"], "final_answer": "39045", "answer_type": "integer", "kind": "expression", "math_text": "-5448 + 44493", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5448, \"b\": 44493}", "seed": "10975226197794014397", "semantic_fingerprint": "sha256:80dc3f14f21e7fd3edf3b41bcdccb53eeb36aeee37be4ec085a2805971619226", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005681", "prompt": "What value of x satisfies 36(x + 62816) = 35x?", "solution_steps": ["Expand: 36x + 2261376 = 35x", "Subtract 35x from both sides: x + 2261376 = 0", "Subtract 2261376 from both sides: x = -2261376"], "final_answer": "-2261376", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x + 62816) = 35x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 62816, \"c\": 35}", "seed": "16159950791405096907", "semantic_fingerprint": "sha256:eec077869a5ee7c7265f121dd0413a18be4455054c47426c032c9f9050875ca7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005682", "prompt": "Find x: -32x + 14582 = x + 16331", "solution_steps": ["Subtract x from both sides: -33x + 14582 = 16331", "Subtract 14582 from both sides: -33x = 1749", "Divide both sides by -33: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x + 14582 = x + 16331", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 14582, \"d\": 16331, \"x\": -53}", "seed": "410862322624689982", "semantic_fingerprint": "sha256:e947f77f02c6f422b21944f2ffef4431514ad68987107d156da8e7bce04120ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005683", "prompt": "Solve the equation x = -34x + 5250 for x.", "solution_steps": ["Add 34x to both sides: 35x = 5250", "Divide both sides by 35: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -34x + 5250", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34, \"c\": 5250, \"x\": 150}", "seed": "15959509945708042344", "semantic_fingerprint": "sha256:394b23ca9368568ea1f04750270b82779386c57e3f8bbc6347396dd245be82b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005684", "prompt": "What is 6727 * (-22172) - (96839 + (-1057) + (57673 + (-1715)))?", "solution_steps": ["Multiply: 6727 * (-22172) = -149151044", "Add: 96839 + (-1057) = 95782", "Add: 57673 + (-1715) = 55958", "Add: 95782 + 55958 = 151740", "Subtract: -149151044 - 151740 = -149302784"], "final_answer": "-149302784", "answer_type": "integer", "kind": "expression", "math_text": "6727 * (-22172) - (96839 + (-1057) + (57673 + (-1715)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6727, \"b\": -22172, \"c\": 96839, \"d\": -1057, \"e\": 57673, \"f\": -1715}", "seed": "10442274650217946340", "semantic_fingerprint": "sha256:f58f1925440fe517b7e1fad01b3556c087ce7186ecb297e2eb88322c811fb897", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005685", "prompt": "Compute: -1120 * 3443 * 5347 / (-8327)", "solution_steps": ["Multiply: -1120 * 3443 = -3856160", "Multiply: -3856160 * 5347 = -20618887520", "Divide: -20618887520 / (-8327) = 1874444320/757"], "final_answer": "1874444320/757", "answer_type": "rational", "kind": "expression", "math_text": "-1120 * 3443 * 5347 / (-8327)", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1120, \"b\": 3443, \"c\": 5347, \"d\": -8327}", "seed": "3872733559405983523", "semantic_fingerprint": "sha256:4b19bb352131ec2b7eeb28cf13d102dc1479b5da99763170a8e24f353b43baa3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005686", "prompt": "Evaluate: 6947 - (-8144) + 2079", "solution_steps": ["Subtract: 6947 - (-8144) = 15091", "Add: 15091 + 2079 = 17170"], "final_answer": "17170", "answer_type": "integer", "kind": "expression", "math_text": "6947 - (-8144) + 2079", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6947, \"b\": -8144, \"c\": 2079}", "seed": "12636758409082654032", "semantic_fingerprint": "sha256:a85c71cebc11e8461028afdebb172d7650b7f4ee7407bf8f32ef14e2670cbdc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005687", "prompt": "What is -89105 / (-86295 + (-2443))?", "solution_steps": ["Add: -86295 + (-2443) = -88738", "Divide: -89105 / (-88738) = 89105/88738"], "final_answer": "89105/88738", "answer_type": "rational", "kind": "expression", "math_text": "-89105 / (-86295 + (-2443))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89105, \"b\": -86295, \"c\": -2443}", "seed": "1501983110309658007", "semantic_fingerprint": "sha256:309433cef21e7d82270620838e50e534972ad3f547e936cbae26db38bdefbc3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005688", "prompt": "Evaluate: 6103 + (-21442 - 70688 / 69048)", "solution_steps": ["Divide: 70688 / 69048 = 8836/8631", "Subtract: -21442 - 8836/8631 = -185074738/8631", "Add: 6103 + (-185074738/8631) = -132399745/8631"], "final_answer": "-132399745/8631", "answer_type": "rational", "kind": "expression", "math_text": "6103 + (-21442 - 70688 / 69048)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6103, \"b\": -21442, \"c\": 70688, \"d\": 69048}", "seed": "15864668925096061768", "semantic_fingerprint": "sha256:0760f58ac18e8af0ab225ef571b0444897cba3c4042d6214715312f7940c4461", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005689", "prompt": "Calculate: 78385 + (-8905)", "solution_steps": ["Add: 78385 + (-8905) = 69480"], "final_answer": "69480", "answer_type": "integer", "kind": "expression", "math_text": "78385 + (-8905)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 78385, \"b\": -8905}", "seed": "17058866486294932391", "semantic_fingerprint": "sha256:75052d56e76b9be41464d9e8becca4a338290378ad2af0dbcbd2d6cf51a687b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005690", "prompt": "Calculate: -1927 - (-5866) + (27878 + (9165 + (-89263)))", "solution_steps": ["Subtract: -1927 - (-5866) = 3939", "Add: 9165 + (-89263) = -80098", "Add: 27878 + (-80098) = -52220", "Add: 3939 + (-52220) = -48281"], "final_answer": "-48281", "answer_type": "integer", "kind": "expression", "math_text": "-1927 - (-5866) + (27878 + (9165 + (-89263)))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1927, \"b\": -5866, \"c\": 27878, \"d\": 9165, \"e\": -89263}", "seed": "11659942454234487106", "semantic_fingerprint": "sha256:a162f1d1072ebb06b038ab6696e832e5b45410e43e3d60c779f43de2005609ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005691", "prompt": "What is 9411 / (-7737)?", "solution_steps": ["Divide: 9411 / (-7737) = -3137/2579"], "final_answer": "-3137/2579", "answer_type": "rational", "kind": "expression", "math_text": "9411 / (-7737)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9411, \"b\": -7737}", "seed": "16532202830292551800", "semantic_fingerprint": "sha256:56f233c2c24fccac3f9806d0d39345bda339a52bd4e6eceb14f6160541a058f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005692", "prompt": "Solve for x: x - 7310 = 17(x + 1231) - 30381", "solution_steps": ["Expand: x - 7310 = 17x + 20927 - 30381", "Combine constants: x - 7310 = 17x - 9454", "Subtract 17x from both sides: -16x - 7310 = -9454", "Add 7310 to both sides: -16x = -2144", "Divide both sides by -16: x = 134"], "final_answer": "134", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7310 = 17(x + 1231) - 30381", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7310, \"b\": 17, \"c\": 1231, \"e\": -30381, \"x\": 134}", "seed": "5048611893649778512", "semantic_fingerprint": "sha256:55266f9136778af3ec8d7d22e29b2ef6ed8c899aef846b3c9bf5475d6f354d6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005693", "prompt": "Evaluate: (3869 + 12201) / (-65252)", "solution_steps": ["Add: 3869 + 12201 = 16070", "Divide: 16070 / (-65252) = -8035/32626"], "final_answer": "-8035/32626", "answer_type": "rational", "kind": "expression", "math_text": "(3869 + 12201) / (-65252)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3869, \"b\": 12201, \"c\": -65252}", "seed": "9589449815486708556", "semantic_fingerprint": "sha256:400c6c22db88a186289317da1f1dd0815fa95d574a99a634630d7889714946bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005694", "prompt": "Evaluate: -2724 / (-5623) - (-3836)", "solution_steps": ["Divide: -2724 / (-5623) = 2724/5623", "Subtract: 2724/5623 - (-3836) = 21572552/5623"], "final_answer": "21572552/5623", "answer_type": "rational", "kind": "expression", "math_text": "-2724 / (-5623) - (-3836)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2724, \"b\": -5623, \"c\": -3836}", "seed": "16302114914742216643", "semantic_fingerprint": "sha256:2769b74147364b107eb5d581cc5e1d601f315e1517dca206e44976b23758f05a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005695", "prompt": "What value of x satisfies 38(x + 3154) - 61323 = -24x + 46935?", "solution_steps": ["Expand: 38x + 119852 - 61323 = -24x + 46935", "Combine constants: 38x + 58529 = -24x + 46935", "Add 24x to both sides: 62x + 58529 = 46935", "Subtract 58529 from both sides: 62x = -11594", "Divide both sides by 62: x = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 3154) - 61323 = -24x + 46935", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 3154, \"c\": 61323, \"d\": -24, \"f\": 46935, \"x\": -187}", "seed": "2229862807647491331", "semantic_fingerprint": "sha256:e9aff6abcd751c0fe0204b97209608657dc84cdcf440369be049e6078f844892", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005696", "prompt": "What value of x satisfies -23(x + 3207) - 17126 = 25(x - 3839)?", "solution_steps": ["Expand: -23x - 73761 - 17126 = 25(x - 3839)", "Expand: -23x - 73761 - 17126 = 25x - 95975", "Combine constants: -23x - 90887 = 25x - 95975", "Subtract 25x from both sides: -48x - 90887 = -95975", "Add 90887 to both sides: -48x = -5088", "Divide both sides by -48: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23(x + 3207) - 17126 = 25(x - 3839)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 3207, \"c\": 25, \"d\": 3839, \"f\": -17126, \"x\": 106}", "seed": "8916320487791641187", "semantic_fingerprint": "sha256:88578bdad2220807899630f493be38c1272cf709ecb424739d7589f03705f0dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005697", "prompt": "Evaluate: -67147 - (-9082) + (3698 + (-2902) - (-5937) + (-2662))", "solution_steps": ["Subtract: -67147 - (-9082) = -58065", "Add: 3698 + (-2902) = 796", "Subtract: 796 - (-5937) = 6733", "Add: 6733 + (-2662) = 4071", "Add: -58065 + 4071 = -53994"], "final_answer": "-53994", "answer_type": "integer", "kind": "expression", "math_text": "-67147 - (-9082) + (3698 + (-2902) - (-5937) + (-2662))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ (- (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -67147, \"b\": -9082, \"c\": 3698, \"d\": -2902, \"e\": -5937, \"f\": -2662}", "seed": "12299565828621056701", "semantic_fingerprint": "sha256:4985b97e55cf1bf5b1c556a079a39daa5b0c5a4bd790a9acac138e676b85b496", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005698", "prompt": "What value of x satisfies 14(x + 4389) = 62748?", "solution_steps": ["Expand: 14x + 61446 = 62748", "Subtract 61446 from both sides: 14x = 1302", "Divide both sides by 14: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x + 4389) = 62748", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4389, \"d\": 62748, \"x\": 93}", "seed": "11743731137327947769", "semantic_fingerprint": "sha256:0d2aff848eccd8275edbb63c3b3477133e11f0fb77cfe3e57abfe613cc44c584", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005699", "prompt": "Evaluate: 9475 + (66625 + 45461) / 3993", "solution_steps": ["Add: 66625 + 45461 = 112086", "Divide: 112086 / 3993 = 37362/1331", "Add: 9475 + 37362/1331 = 12648587/1331"], "final_answer": "12648587/1331", "answer_type": "rational", "kind": "expression", "math_text": "9475 + (66625 + 45461) / 3993", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9475, \"b\": 66625, \"c\": 45461, \"d\": 3993}", "seed": "11184585460532487644", "semantic_fingerprint": "sha256:75f40411e98c31ade20d37614fbdfa4910df34e4cd933fff463b215886dcdfc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005700", "prompt": "Find x: -39(x + 35650) = 56952", "solution_steps": ["Expand: -39x - 1390350 = 56952", "Add 1390350 to both sides: -39x = 1447302", "Divide both sides by -39: x = -482434/13"], "final_answer": "-482434/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 35650) = 56952", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 35650, \"c\": 56952}", "seed": "13824095816218351432", "semantic_fingerprint": "sha256:96ac0d4d32ac5121ec9f8db0de9057a94f40b946bd04be854c258f1b4d25efc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005701", "prompt": "Solve for x: 38x - 3904 = x + 5444", "solution_steps": ["Subtract x from both sides: 37x - 3904 = 5444", "Add 3904 to both sides: 37x = 9348", "Divide both sides by 37: x = 9348/37"], "final_answer": "9348/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x - 3904 = x + 5444", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 3904, \"c\": 5444}", "seed": "12308283184210592120", "semantic_fingerprint": "sha256:0006f04359378e845a1d4ca77c44e1cf8d12758776c716ec3da570eee647da43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005702", "prompt": "Calculate: -7820 - (-6908) - (34244 - 9461)", "solution_steps": ["Subtract: -7820 - (-6908) = -912", "Subtract: 34244 - 9461 = 24783", "Subtract: -912 - 24783 = -25695"], "final_answer": "-25695", "answer_type": "integer", "kind": "expression", "math_text": "-7820 - (-6908) - (34244 - 9461)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7820, \"b\": -6908, \"c\": 34244, \"d\": 9461}", "seed": "3972424469070918004", "semantic_fingerprint": "sha256:175bb8c02c90631673aef098a4dc527b415e45cb7e7e6579a51ade7aaa87875a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005703", "prompt": "Compute: -37996 + 50954", "solution_steps": ["Add: -37996 + 50954 = 12958"], "final_answer": "12958", "answer_type": "integer", "kind": "expression", "math_text": "-37996 + 50954", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -37996, \"b\": 50954}", "seed": "17123959997203715633", "semantic_fingerprint": "sha256:5c9482c7c3eca57cce1ff6bd4f09998d28936412eb1ebdad6c8d15b0cf088e94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005704", "prompt": "Evaluate: 50062 + (-87780) / (-92613)", "solution_steps": ["Divide: -87780 / (-92613) = 29260/30871", "Add: 50062 + 29260/30871 = 1545493262/30871"], "final_answer": "1545493262/30871", "answer_type": "rational", "kind": "expression", "math_text": "50062 + (-87780) / (-92613)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50062, \"b\": -87780, \"c\": -92613}", "seed": "12432771682128567480", "semantic_fingerprint": "sha256:b119c478d21919a19a07f66f4fe5355fd48a4ca2b6f7494270d93b4ec130cd87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005705", "prompt": "Calculate: 6328 - (2456 + (-2205))", "solution_steps": ["Add: 2456 + (-2205) = 251", "Subtract: 6328 - 251 = 6077"], "final_answer": "6077", "answer_type": "integer", "kind": "expression", "math_text": "6328 - (2456 + (-2205))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6328, \"b\": 2456, \"c\": -2205}", "seed": "12718746205200941371", "semantic_fingerprint": "sha256:3e4f20ef077a7f7c5cba8301f93cb1a5fe84b648c868a0376490de25e95bc45d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005706", "prompt": "Solve the equation -27x - 5522 = 15(x + 4655) - 67703 for x.", "solution_steps": ["Expand: -27x - 5522 = 15x + 69825 - 67703", "Combine constants: -27x - 5522 = 15x + 2122", "Subtract 15x from both sides: -42x - 5522 = 2122", "Add 5522 to both sides: -42x = 7644", "Divide both sides by -42: x = -182"], "final_answer": "-182", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27x - 5522 = 15(x + 4655) - 67703", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 5522, \"c\": 15, \"d\": 4655, \"f\": -67703, \"x\": -182}", "seed": "1683828031360981549", "semantic_fingerprint": "sha256:63f7ed75ac7cb6b460ec8fa301ab83713ff3f36d90e5bc0f98c6b909db0ddead", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005707", "prompt": "Solve the equation -20(x - 2167) = x - 4175 for x.", "solution_steps": ["Expand: -20x + 43340 = x - 4175", "Subtract x from both sides: -21x + 43340 = -4175", "Subtract 43340 from both sides: -21x = -47515", "Divide both sides by -21: x = 47515/21"], "final_answer": "47515/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 2167) = x - 4175", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 2167, \"c\": 4175}", "seed": "4916556745981419418", "semantic_fingerprint": "sha256:c6ae31e8fade81c9e8132d59a53eb240e2131fe2c26b1122b6ce30b1e4e6b9dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005708", "prompt": "Calculate: -9943 - (-49311)", "solution_steps": ["Subtract: -9943 - (-49311) = 39368"], "final_answer": "39368", "answer_type": "integer", "kind": "expression", "math_text": "-9943 - (-49311)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9943, \"b\": -49311}", "seed": "639988322195035734", "semantic_fingerprint": "sha256:534d3b0034d34dca2b0100298a0b76ea0a33096cc920cc68b7974413b7bb3905", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005709", "prompt": "Compute: 38854 - (-8800)", "solution_steps": ["Subtract: 38854 - (-8800) = 47654"], "final_answer": "47654", "answer_type": "integer", "kind": "expression", "math_text": "38854 - (-8800)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 38854, \"b\": -8800}", "seed": "14071924511056507619", "semantic_fingerprint": "sha256:e4217a662af1c6ab4334665641414a298e837a20e5db3a26b2166c48418f4195", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005710", "prompt": "Calculate: -4133 * 33105 / (-8918)", "solution_steps": ["Multiply: -4133 * 33105 = -136822965", "Divide: -136822965 / (-8918) = 136822965/8918"], "final_answer": "136822965/8918", "answer_type": "rational", "kind": "expression", "math_text": "-4133 * 33105 / (-8918)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4133, \"b\": 33105, \"c\": -8918}", "seed": "4170048495337488517", "semantic_fingerprint": "sha256:89a4f882a32a3efde90eb665f4024de25cd113ade2aaf11b9364b53aea905acf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005711", "prompt": "Solve the equation 13x = 40(x - 6710) + 1493 for x.", "solution_steps": ["Expand: 13x = 40x - 268400 + 1493", "Combine constants: 13x = 40x - 266907", "Subtract 40x from both sides: -27x = -266907", "Divide both sides by -27: x = 88969/9"], "final_answer": "88969/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 40(x - 6710) + 1493", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 40, \"c\": 6710, \"d\": 1493}", "seed": "13467786301645300062", "semantic_fingerprint": "sha256:1fee025b5074c09919091b02680cea1d036aab6539c3fd7e65a8df6b988e5b57", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005712", "prompt": "Solve the equation x - 81202 = -6865 for x.", "solution_steps": ["Add 81202 to both sides: x = 74337"], "final_answer": "74337", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 81202 = -6865", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81202, \"b\": -6865}", "seed": "2452891827768780236", "semantic_fingerprint": "sha256:37e23e7f09d8c0eb6194c3fa5461e3c38f140380125f1fc2838bae432213a55e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005713", "prompt": "Find x: -30(x - 1201) + 6183 = x + 36044", "solution_steps": ["Expand: -30x + 36030 + 6183 = x + 36044", "Combine constants: -30x + 42213 = x + 36044", "Subtract x from both sides: -31x + 42213 = 36044", "Subtract 42213 from both sides: -31x = -6169", "Divide both sides by -31: x = 199"], "final_answer": "199", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30(x - 1201) + 6183 = x + 36044", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 1201, \"c\": 6183, \"e\": 36044, \"x\": 199}", "seed": "14921548087660584488", "semantic_fingerprint": "sha256:8320613882989b1025c4e3fa497b9335ed9bdb9594d892ede061df64cd5d8460", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005714", "prompt": "Solve for x: 31(x - 6061) = 19(x + 8754)", "solution_steps": ["Expand: 31x - 187891 = 19(x + 8754)", "Expand: 31x - 187891 = 19x + 166326", "Subtract 19x from both sides: 12x - 187891 = 166326", "Add 187891 to both sides: 12x = 354217", "Divide both sides by 12: x = 354217/12"], "final_answer": "354217/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 6061) = 19(x + 8754)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 6061, \"c\": 19, \"d\": 8754}", "seed": "8400154827359629981", "semantic_fingerprint": "sha256:64027e870d2df54de11aa3279a9d50f83c3b9b619fd4b2baa20a2d06c2cae523", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005715", "prompt": "Find x: x + 9085 = 37(x + 5955)", "solution_steps": ["Expand: x + 9085 = 37x + 220335", "Subtract 37x from both sides: -36x + 9085 = 220335", "Subtract 9085 from both sides: -36x = 211250", "Divide both sides by -36: x = -105625/18"], "final_answer": "-105625/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9085 = 37(x + 5955)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9085, \"b\": 37, \"c\": 5955}", "seed": "10782469167635869852", "semantic_fingerprint": "sha256:408c7971d655f4a0b6e19865df89df9d059251bea56fcfb6728427575a4ba494", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005716", "prompt": "Compute: 4061 * (-7491)", "solution_steps": ["Multiply: 4061 * (-7491) = -30420951"], "final_answer": "-30420951", "answer_type": "integer", "kind": "expression", "math_text": "4061 * (-7491)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4061, \"b\": -7491}", "seed": "8270429127470022751", "semantic_fingerprint": "sha256:8d29894db73f44fdad0018901b16fe0285eb720b543e45fc6bc2869d739a9757", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005717", "prompt": "What is -44483 - 97968 + (-2467)?", "solution_steps": ["Subtract: -44483 - 97968 = -142451", "Add: -142451 + (-2467) = -144918"], "final_answer": "-144918", "answer_type": "integer", "kind": "expression", "math_text": "-44483 - 97968 + (-2467)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44483, \"b\": 97968, \"c\": -2467}", "seed": "11149622696871865523", "semantic_fingerprint": "sha256:78ae2c7ae311b3f26a3858fd2d200d017f06783eb1cc22a6556458378b64db61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005718", "prompt": "Compute: -4116 * 5557", "solution_steps": ["Multiply: -4116 * 5557 = -22872612"], "final_answer": "-22872612", "answer_type": "integer", "kind": "expression", "math_text": "-4116 * 5557", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4116, \"b\": 5557}", "seed": "8545374198352778163", "semantic_fingerprint": "sha256:43cabf16619a96f8e8bb624e0a434ec1499653e429c48d6af26ebdb0d465b207", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005719", "prompt": "Evaluate: 32601 * 27419 - (2447 - 4811)", "solution_steps": ["Multiply: 32601 * 27419 = 893886819", "Subtract: 2447 - 4811 = -2364", "Subtract: 893886819 - (-2364) = 893889183"], "final_answer": "893889183", "answer_type": "integer", "kind": "expression", "math_text": "32601 * 27419 - (2447 - 4811)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32601, \"b\": 27419, \"c\": 2447, \"d\": 4811}", "seed": "18372051656118991203", "semantic_fingerprint": "sha256:15decbb831acf88d62acea97cd06feae58d33adfe39a8cfba7615c27608b6626", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005720", "prompt": "What is -69769 / (-1460) * 5860?", "solution_steps": ["Divide: -69769 / (-1460) = 69769/1460", "Multiply: (69769/1460) * 5860 = 20442317/73"], "final_answer": "20442317/73", "answer_type": "rational", "kind": "expression", "math_text": "-69769 / (-1460) * 5860", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69769, \"b\": -1460, \"c\": 5860}", "seed": "13040934888939902168", "semantic_fingerprint": "sha256:d2f95f97247494c6a3b47dd9a842979f959fae57b0b48e0ab27868f6b4162170", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005721", "prompt": "What value of x satisfies 13(x + 4825) + 7527 = x?", "solution_steps": ["Expand: 13x + 62725 + 7527 = x", "Combine constants: 13x + 70252 = x", "Subtract x from both sides: 12x + 70252 = 0", "Subtract 70252 from both sides: 12x = -70252", "Divide both sides by 12: x = -17563/3"], "final_answer": "-17563/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 4825) + 7527 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4825, \"c\": 7527}", "seed": "3851508439833137590", "semantic_fingerprint": "sha256:d64355ad6f991114278cc4dcf0a09048c123548a535cee59e90735e7235d44d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005722", "prompt": "Solve the equation 30(x + 20806) = x - 2710 for x.", "solution_steps": ["Expand: 30x + 624180 = x - 2710", "Subtract x from both sides: 29x + 624180 = -2710", "Subtract 624180 from both sides: 29x = -626890", "Divide both sides by 29: x = -626890/29"], "final_answer": "-626890/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 20806) = x - 2710", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 20806, \"c\": 2710}", "seed": "15329070842775356845", "semantic_fingerprint": "sha256:b5e3d1ca43b0851f947b9e5d6f789b671f493de246284396288a4d2a4fe8e921", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005723", "prompt": "Solve for x: -34(x + 2293) + 74414 = -37x - 3896", "solution_steps": ["Expand: -34x - 77962 + 74414 = -37x - 3896", "Combine constants: -34x - 3548 = -37x - 3896", "Add 37x to both sides: 3x - 3548 = -3896", "Add 3548 to both sides: 3x = -348", "Divide both sides by 3: x = -116"], "final_answer": "-116", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34(x + 2293) + 74414 = -37x - 3896", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 2293, \"c\": 74414, \"d\": -37, \"f\": -3896, \"x\": -116}", "seed": "5598712745141586282", "semantic_fingerprint": "sha256:479390a4c60c993dd544dc249e447dcec53faa77f51f0b06b50cc65329ddbccf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005724", "prompt": "Solve for x: -18(x + 6826) = -21x", "solution_steps": ["Expand: -18x - 122868 = -21x", "Add 21x to both sides: 3x - 122868 = 0", "Add 122868 to both sides: 3x = 122868", "Divide both sides by 3: x = 40956"], "final_answer": "40956", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x + 6826) = -21x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 6826, \"c\": -21}", "seed": "12848888221429440650", "semantic_fingerprint": "sha256:fb5f6ea41133c4660d7e7e766e6dee9890e95217b01faf3634d25f42dc9d0b9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005725", "prompt": "Evaluate: 4131 + (-40295 - 3757)", "solution_steps": ["Subtract: -40295 - 3757 = -44052", "Add: 4131 + (-44052) = -39921"], "final_answer": "-39921", "answer_type": "integer", "kind": "expression", "math_text": "4131 + (-40295 - 3757)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4131, \"b\": -40295, \"c\": 3757}", "seed": "15385212894293822923", "semantic_fingerprint": "sha256:4476767d2b27800b9e63b262225fb6466a1cd57f1c3b8dcd4d6c10c8edc16d8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005726", "prompt": "Solve the equation x - 5137 = -5236 for x.", "solution_steps": ["Add 5137 to both sides: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5137 = -5236", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5137, \"c\": -5236, \"x\": -99}", "seed": "6601035464549523066", "semantic_fingerprint": "sha256:6368da196bed31847aea58e5f26388ed92953902c6245462868bfbe1acc506e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005727", "prompt": "What is 61776 / (-71904)?", "solution_steps": ["Divide: 61776 / (-71904) = -1287/1498"], "final_answer": "-1287/1498", "answer_type": "rational", "kind": "expression", "math_text": "61776 / (-71904)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61776, \"b\": -71904}", "seed": "10837314657285314582", "semantic_fingerprint": "sha256:c6df219eb5c471c9dd6ab4b67e8b3983ac8098e52dadeb429dd9e53b515fb207", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005728", "prompt": "What is -66063 * (-47823) + (-6274 + 5735)?", "solution_steps": ["Multiply: -66063 * (-47823) = 3159330849", "Add: -6274 + 5735 = -539", "Add: 3159330849 + (-539) = 3159330310"], "final_answer": "3159330310", "answer_type": "integer", "kind": "expression", "math_text": "-66063 * (-47823) + (-6274 + 5735)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -66063, \"b\": -47823, \"c\": -6274, \"d\": 5735}", "seed": "6704946446736412235", "semantic_fingerprint": "sha256:2e0449b7804dfb2f7ca6ba3dd9b9efe8cb673cdd7a86795f995ba8cd0c715247", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005729", "prompt": "What value of x satisfies 34(x + 43783) + 9128 = 37(x - 6052) - 4115?", "solution_steps": ["Expand: 34x + 1488622 + 9128 = 37(x - 6052) - 4115", "Expand: 34x + 1488622 + 9128 = 37x - 223924 - 4115", "Combine constants: 34x + 1497750 = 37x - 223924 - 4115", "Combine constants: 34x + 1497750 = 37x - 228039", "Subtract 37x from both sides: -3x + 1497750 = -228039", "Subtract 1497750 from both sides: -3x = -1725789", "Divide both sides by -3: x = 575263"], "final_answer": "575263", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x + 43783) + 9128 = 37(x - 6052) - 4115", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 43783, \"c\": 9128, \"d\": 37, \"e\": 6052, \"f\": 4115}", "seed": "16367012420246485557", "semantic_fingerprint": "sha256:a2756807b573700b3650cc45b75bfc43333dd9b86dc6b2f97f3b4159c980596b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005730", "prompt": "Solve for x: 17(x + 8215) - 42374 = 36(x - 77476) + 65107", "solution_steps": ["Expand: 17x + 139655 - 42374 = 36(x - 77476) + 65107", "Expand: 17x + 139655 - 42374 = 36x - 2789136 + 65107", "Combine constants: 17x + 97281 = 36x - 2789136 + 65107", "Combine constants: 17x + 97281 = 36x - 2724029", "Subtract 36x from both sides: -19x + 97281 = -2724029", "Subtract 97281 from both sides: -19x = -2821310", "Divide both sides by -19: x = 148490"], "final_answer": "148490", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 8215) - 42374 = 36(x - 77476) + 65107", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 8215, \"c\": 42374, \"d\": 36, \"e\": 77476, \"f\": 65107}", "seed": "15538378144903891645", "semantic_fingerprint": "sha256:9d432033bf6a291a27823d28b2a5f1136713dd10727f5a8bfee1a043dcbeb3e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005731", "prompt": "Calculate: 13251 * 31783 - (-8231)", "solution_steps": ["Multiply: 13251 * 31783 = 421156533", "Subtract: 421156533 - (-8231) = 421164764"], "final_answer": "421164764", "answer_type": "integer", "kind": "expression", "math_text": "13251 * 31783 - (-8231)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13251, \"b\": 31783, \"c\": -8231}", "seed": "3885874767813178167", "semantic_fingerprint": "sha256:f7ee13a1794541ebd45c6adb2945b43c5623cb408e10b1712fe0881c4dfd0f55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005732", "prompt": "Solve the equation x - 87452 = 23(x + 38199) + 6689 for x.", "solution_steps": ["Expand: x - 87452 = 23x + 878577 + 6689", "Combine constants: x - 87452 = 23x + 885266", "Subtract 23x from both sides: -22x - 87452 = 885266", "Add 87452 to both sides: -22x = 972718", "Divide both sides by -22: x = -486359/11"], "final_answer": "-486359/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 87452 = 23(x + 38199) + 6689", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 87452, \"b\": 23, \"c\": 38199, \"d\": 6689}", "seed": "8617302973408238972", "semantic_fingerprint": "sha256:3a4351e5239951557de0a994377689ebd943347179e590e93e081b394501e749", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005733", "prompt": "Calculate: 3429 * (-8946 * 4589) / (-1400)", "solution_steps": ["Multiply: -8946 * 4589 = -41053194", "Multiply: 3429 * (-41053194) = -140771402226", "Divide: -140771402226 / (-1400) = 10055100159/100"], "final_answer": "10055100159/100", "answer_type": "rational", "kind": "expression", "math_text": "3429 * (-8946 * 4589) / (-1400)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3429, \"b\": -8946, \"c\": 4589, \"d\": -1400}", "seed": "6474712268166415343", "semantic_fingerprint": "sha256:550c618365a65803d64e4579ab1969ffe36e74fc35d1c260561868ddab05c6ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005734", "prompt": "Solve for x: x = 24(x - 6146) + 1167", "solution_steps": ["Expand: x = 24x - 147504 + 1167", "Combine constants: x = 24x - 146337", "Subtract 24x from both sides: -23x = -146337", "Divide both sides by -23: x = 146337/23"], "final_answer": "146337/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 24(x - 6146) + 1167", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6146, \"c\": 1167}", "seed": "2249790371650514046", "semantic_fingerprint": "sha256:05923f72d04c623dd5a35265a2b24e8bc1ff99f144619716fb16305a29f2c895", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005735", "prompt": "Solve for x: x + 5979 = 1375", "solution_steps": ["Subtract 5979 from both sides: x = -4604"], "final_answer": "-4604", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5979 = 1375", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5979, \"b\": 1375}", "seed": "790684370155702515", "semantic_fingerprint": "sha256:5bd35b98eb158001d9d6cc65d6998a1b63f305f2439cd8a5cb5a84d8a9481913", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005736", "prompt": "Evaluate: 4518 + (31353 + 6947)", "solution_steps": ["Add: 31353 + 6947 = 38300", "Add: 4518 + 38300 = 42818"], "final_answer": "42818", "answer_type": "integer", "kind": "expression", "math_text": "4518 + (31353 + 6947)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4518, \"b\": 31353, \"c\": 6947}", "seed": "15347442255972318042", "semantic_fingerprint": "sha256:982af91837b48e45831b068e0c73e4e1e1de81fd2e066f3f2ad6bec158b6518b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005737", "prompt": "Compute: -5171 / 8244", "solution_steps": ["Divide: -5171 / 8244 = -5171/8244"], "final_answer": "-5171/8244", "answer_type": "rational", "kind": "expression", "math_text": "-5171 / 8244", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5171, \"b\": 8244}", "seed": "7559446493689671216", "semantic_fingerprint": "sha256:1e606a916cfe0e30e96301642d8319f581c10144472f72f870917ed19ef39d42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005738", "prompt": "Compute: (-9189 - (-2306 - 64394)) * 51940", "solution_steps": ["Subtract: -2306 - 64394 = -66700", "Subtract: -9189 - (-66700) = 57511", "Multiply: 57511 * 51940 = 2987121340"], "final_answer": "2987121340", "answer_type": "integer", "kind": "expression", "math_text": "(-9189 - (-2306 - 64394)) * 51940", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9189, \"b\": -2306, \"c\": 64394, \"d\": 51940}", "seed": "10779147177227725206", "semantic_fingerprint": "sha256:1f9bd952e858547ed99365a8c52421dd1c36e46d05ed7692f26998a5f6d1c1cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005739", "prompt": "Solve for x: 24(x - 9840) = 20(x - 8867) - 58320", "solution_steps": ["Expand: 24x - 236160 = 20(x - 8867) - 58320", "Expand: 24x - 236160 = 20x - 177340 - 58320", "Combine constants: 24x - 236160 = 20x - 235660", "Subtract 20x from both sides: 4x - 236160 = -235660", "Add 236160 to both sides: 4x = 500", "Divide both sides by 4: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 9840) = 20(x - 8867) - 58320", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 9840, \"c\": 20, \"d\": 8867, \"f\": -58320, \"x\": 125}", "seed": "3018458083987826235", "semantic_fingerprint": "sha256:cd991393d001e2c4ec3619395cf2ab6fa548af88b3ae4d9ca3bd20d41b6eed6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005740", "prompt": "Compute: (-5221 - (-59928)) * (-18387)", "solution_steps": ["Subtract: -5221 - (-59928) = 54707", "Multiply: 54707 * (-18387) = -1005897609"], "final_answer": "-1005897609", "answer_type": "integer", "kind": "expression", "math_text": "(-5221 - (-59928)) * (-18387)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5221, \"b\": -59928, \"c\": -18387}", "seed": "6304809051148620873", "semantic_fingerprint": "sha256:0a3539be555b6d3be5f769f2a52cdffca8c6b31b279e6ba31be67d6585426946", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005741", "prompt": "What is -80664 - (-4792)?", "solution_steps": ["Subtract: -80664 - (-4792) = -75872"], "final_answer": "-75872", "answer_type": "integer", "kind": "expression", "math_text": "-80664 - (-4792)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -80664, \"b\": -4792}", "seed": "7977662386928875878", "semantic_fingerprint": "sha256:d36123f1d72bbd44eb652379013e8858400e899137d96c200f0dda5b9963b61f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005742", "prompt": "Find x: 15x = 35(x + 4918)", "solution_steps": ["Expand: 15x = 35x + 172130", "Subtract 35x from both sides: -20x = 172130", "Divide both sides by -20: x = -17213/2"], "final_answer": "-17213/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = 35(x + 4918)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 35, \"c\": 4918}", "seed": "10226089033664725745", "semantic_fingerprint": "sha256:c73e5ecb44eb1cc72e2686e2e6f30ea691549fdc1b95e8f9d1f062a04fdbe802", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005743", "prompt": "Find x: -17x = 29x - 6486", "solution_steps": ["Subtract 29x from both sides: -46x = -6486", "Divide both sides by -46: x = 141"], "final_answer": "141", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x = 29x - 6486", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 29, \"d\": -6486, \"x\": 141}", "seed": "11587441412835288916", "semantic_fingerprint": "sha256:f535bf807f45fd2b41c542aaa38f347552e204684019dc7e909c76d440678b92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005744", "prompt": "Evaluate: 6135 - (-18397) - (-1029) + (-65003 + (-8983))", "solution_steps": ["Subtract: 6135 - (-18397) = 24532", "Subtract: 24532 - (-1029) = 25561", "Add: -65003 + (-8983) = -73986", "Add: 25561 + (-73986) = -48425"], "final_answer": "-48425", "answer_type": "integer", "kind": "expression", "math_text": "6135 - (-18397) - (-1029) + (-65003 + (-8983))", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6135, \"b\": -18397, \"c\": -1029, \"d\": -65003, \"e\": -8983}", "seed": "30494345425704104", "semantic_fingerprint": "sha256:82711cede2109aff15d1ab9a9ec4233599cf8d5a008bfa88195f794809a8f248", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005745", "prompt": "Evaluate: -71704 - (-11480 - 6298) + 33996 * 2972 * (-2992)", "solution_steps": ["Subtract: -11480 - 6298 = -17778", "Subtract: -71704 - (-17778) = -53926", "Multiply: 33996 * 2972 = 101036112", "Multiply: 101036112 * (-2992) = -302300047104", "Add: -53926 + (-302300047104) = -302300101030"], "final_answer": "-302300101030", "answer_type": "integer", "kind": "expression", "math_text": "-71704 - (-11480 - 6298) + 33996 * 2972 * (-2992)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (* (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -71704, \"b\": -11480, \"c\": 6298, \"d\": 33996, \"e\": 2972, \"f\": -2992}", "seed": "13183864240581979580", "semantic_fingerprint": "sha256:9939ae851b64439f48fea3c78f6f91162595de1ab53cc04be0349caad2d56bde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005746", "prompt": "Calculate: -24234 + (-2609) / 5701", "solution_steps": ["Divide: -2609 / 5701 = -2609/5701", "Add: -24234 + (-2609/5701) = -138160643/5701"], "final_answer": "-138160643/5701", "answer_type": "rational", "kind": "expression", "math_text": "-24234 + (-2609) / 5701", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24234, \"b\": -2609, \"c\": 5701}", "seed": "17004395925150001095", "semantic_fingerprint": "sha256:05033f6bbede208dded82d18c35abf793866ed00940baf381887c4a52e3ca8e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005747", "prompt": "What is -65841 * 8348 / (-9632 + (-8919) - 10395)?", "solution_steps": ["Multiply: -65841 * 8348 = -549640668", "Add: -9632 + (-8919) = -18551", "Subtract: -18551 - 10395 = -28946", "Divide: -549640668 / (-28946) = 274820334/14473"], "final_answer": "274820334/14473", "answer_type": "rational", "kind": "expression", "math_text": "-65841 * 8348 / (-9632 + (-8919) - 10395)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -65841, \"b\": 8348, \"c\": -9632, \"d\": -8919, \"e\": 10395}", "seed": "11532406301438870063", "semantic_fingerprint": "sha256:ca5286541e4cc7d859cb2c9f78ccd7f504eb2958c6519a551a13a859c40f02e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005748", "prompt": "Calculate: 72067 * (-9634 / 6927) - 4995", "solution_steps": ["Divide: -9634 / 6927 = -9634/6927", "Multiply: 72067 * (-9634/6927) = -694293478/6927", "Subtract: -694293478/6927 - 4995 = -728893843/6927"], "final_answer": "-728893843/6927", "answer_type": "rational", "kind": "expression", "math_text": "72067 * (-9634 / 6927) - 4995", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72067, \"b\": -9634, \"c\": 6927, \"d\": 4995}", "seed": "17370845788822787735", "semantic_fingerprint": "sha256:daaf68884155f8c7a2c13342c4100ad81a93bcb1f9dfef137879292ac98e0548", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005749", "prompt": "Compute: (-3439 + (-9310)) / (98788 / (-6945)) + 9733 - (-3098)", "solution_steps": ["Add: -3439 + (-9310) = -12749", "Divide: 98788 / (-6945) = -98788/6945", "Divide: -12749 / (-98788/6945) = 88541805/98788", "Add: 88541805/98788 + 9733 = 1050045409/98788", "Subtract: 1050045409/98788 - (-3098) = 1356090633/98788"], "final_answer": "1356090633/98788", "answer_type": "rational", "kind": "expression", "math_text": "(-3439 + (-9310)) / (98788 / (-6945)) + 9733 - (-3098)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ (+ n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3439, \"b\": -9310, \"c\": 98788, \"d\": -6945, \"e\": 9733, \"f\": -3098}", "seed": "8408692436309617337", "semantic_fingerprint": "sha256:6a82ae8c03950a044e6ac019673aed6c82f7fa63e551957b43c7873aa88dd00f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005750", "prompt": "Evaluate: 9129 / (-7645)", "solution_steps": ["Divide: 9129 / (-7645) = -9129/7645"], "final_answer": "-9129/7645", "answer_type": "rational", "kind": "expression", "math_text": "9129 / (-7645)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9129, \"b\": -7645}", "seed": "17850855988717831419", "semantic_fingerprint": "sha256:a70991fac2143dcbe2da4e45e5f70d78e0b1c4e25d4638d4a77e46c5ed10be01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005751", "prompt": "Evaluate: 68693 + (-3778) * 76702 / (-7047)", "solution_steps": ["Multiply: -3778 * 76702 = -289780156", "Divide: -289780156 / (-7047) = 289780156/7047", "Add: 68693 + 289780156/7047 = 773859727/7047"], "final_answer": "773859727/7047", "answer_type": "rational", "kind": "expression", "math_text": "68693 + (-3778) * 76702 / (-7047)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68693, \"b\": -3778, \"c\": 76702, \"d\": -7047}", "seed": "16040257075861256665", "semantic_fingerprint": "sha256:df3780f2a947beca840cd1fa7ef9ed3cf71f5d8550357f62c99c96c3c3181553", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005752", "prompt": "Compute: -91626 * 7907", "solution_steps": ["Multiply: -91626 * 7907 = -724486782"], "final_answer": "-724486782", "answer_type": "integer", "kind": "expression", "math_text": "-91626 * 7907", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91626, \"b\": 7907}", "seed": "9183594375333224779", "semantic_fingerprint": "sha256:0fae03508113d605c58e6eb6ae897e7bdc24ba8ab294803a60692aaf1ac696f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005753", "prompt": "Evaluate: 3951 + 2551", "solution_steps": ["Add: 3951 + 2551 = 6502"], "final_answer": "6502", "answer_type": "integer", "kind": "expression", "math_text": "3951 + 2551", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3951, \"b\": 2551}", "seed": "10167307784880800497", "semantic_fingerprint": "sha256:3f7e67a49be2246236b650f1d3ca44e5e239b596b2b34559d95ac96ed5dee0c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005754", "prompt": "Evaluate: -31605 + 4619", "solution_steps": ["Add: -31605 + 4619 = -26986"], "final_answer": "-26986", "answer_type": "integer", "kind": "expression", "math_text": "-31605 + 4619", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -31605, \"b\": 4619}", "seed": "15660662806311143549", "semantic_fingerprint": "sha256:d7c87ad8c6d4223271918ef0504c438a9c67a899e551f4eacefe8166dcea8fac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005755", "prompt": "Calculate: -8505 / 98964", "solution_steps": ["Divide: -8505 / 98964 = -945/10996"], "final_answer": "-945/10996", "answer_type": "rational", "kind": "expression", "math_text": "-8505 / 98964", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8505, \"b\": 98964}", "seed": "4916544806892779578", "semantic_fingerprint": "sha256:3e74439b1122df60d0d2533d62aee2e02898228e5a9101b03e3fbadfd7d4f7ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005756", "prompt": "Solve the equation -37(x + 1857) = -71521 for x.", "solution_steps": ["Expand: -37x - 68709 = -71521", "Add 68709 to both sides: -37x = -2812", "Divide both sides by -37: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37(x + 1857) = -71521", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1857, \"d\": -71521, \"x\": 76}", "seed": "13953925445842755137", "semantic_fingerprint": "sha256:9bda425ca023528182def7880af82548ee7d12974a2f7f023352f022ee81df6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005757", "prompt": "What value of x satisfies -18x = x - 2166?", "solution_steps": ["Subtract x from both sides: -19x = -2166", "Divide both sides by -19: x = 114"], "final_answer": "114", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18x = x - 2166", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"c\": -2166, \"x\": 114}", "seed": "2599921134550459706", "semantic_fingerprint": "sha256:336154dbfbd13d45db2b7af103ed638f2ef6809514149ee803e9a2bc872106c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005758", "prompt": "Evaluate: -72288 + 6834", "solution_steps": ["Add: -72288 + 6834 = -65454"], "final_answer": "-65454", "answer_type": "integer", "kind": "expression", "math_text": "-72288 + 6834", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -72288, \"b\": 6834}", "seed": "8861646834650544462", "semantic_fingerprint": "sha256:9a5850e1334fc44c67aab611c9a363c4683fe51997f3cd384226cc079698b032", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005759", "prompt": "Calculate: -20801 * (-5886) + 81065", "solution_steps": ["Multiply: -20801 * (-5886) = 122434686", "Add: 122434686 + 81065 = 122515751"], "final_answer": "122515751", "answer_type": "integer", "kind": "expression", "math_text": "-20801 * (-5886) + 81065", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20801, \"b\": -5886, \"c\": 81065}", "seed": "706371780861726359", "semantic_fingerprint": "sha256:d006bc82e8d824263057b762a7ddaba8c6d7d98bd94c1a5ec7b42937d03ed716", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005760", "prompt": "What is -2936 + (-98983) + 6692?", "solution_steps": ["Add: -2936 + (-98983) = -101919", "Add: -101919 + 6692 = -95227"], "final_answer": "-95227", "answer_type": "integer", "kind": "expression", "math_text": "-2936 + (-98983) + 6692", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2936, \"b\": -98983, \"c\": 6692}", "seed": "2710459637072514194", "semantic_fingerprint": "sha256:6d76f1906e758aa2afcc345c918e5eb233c7a0712aace84ba1c9a6f916e08df2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005761", "prompt": "Find x: 40(x + 69855) + 17208 = 14(x - 55241) + 2569", "solution_steps": ["Expand: 40x + 2794200 + 17208 = 14(x - 55241) + 2569", "Expand: 40x + 2794200 + 17208 = 14x - 773374 + 2569", "Combine constants: 40x + 2811408 = 14x - 773374 + 2569", "Combine constants: 40x + 2811408 = 14x - 770805", "Subtract 14x from both sides: 26x + 2811408 = -770805", "Subtract 2811408 from both sides: 26x = -3582213", "Divide both sides by 26: x = -3582213/26"], "final_answer": "-3582213/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 69855) + 17208 = 14(x - 55241) + 2569", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 69855, \"c\": 17208, \"d\": 14, \"e\": 55241, \"f\": 2569}", "seed": "16100043224326834763", "semantic_fingerprint": "sha256:49653a856951efeb3c2d5b3a5d10bb22b2d60582de9a0d0e6f6c3d26aa43d5a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005762", "prompt": "Calculate: (-3071 + 3991) / 78308", "solution_steps": ["Add: -3071 + 3991 = 920", "Divide: 920 / 78308 = 230/19577"], "final_answer": "230/19577", "answer_type": "rational", "kind": "expression", "math_text": "(-3071 + 3991) / 78308", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3071, \"b\": 3991, \"c\": 78308}", "seed": "12590800156004584655", "semantic_fingerprint": "sha256:c61178260c7081746f96221b32d7ff3c6706a3056cf2045dbe2229c589004c44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005763", "prompt": "What is (-1714 - (-4638)) / 31798?", "solution_steps": ["Subtract: -1714 - (-4638) = 2924", "Divide: 2924 / 31798 = 1462/15899"], "final_answer": "1462/15899", "answer_type": "rational", "kind": "expression", "math_text": "(-1714 - (-4638)) / 31798", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1714, \"b\": -4638, \"c\": 31798}", "seed": "7510021412427506204", "semantic_fingerprint": "sha256:eafc0e1ed73f01a6407e827f2f541e9dc6289603fd8007f2af6fbafbb97aa84f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005764", "prompt": "Compute: 5018 * (-25584)", "solution_steps": ["Multiply: 5018 * (-25584) = -128380512"], "final_answer": "-128380512", "answer_type": "integer", "kind": "expression", "math_text": "5018 * (-25584)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5018, \"b\": -25584}", "seed": "7199066919153908807", "semantic_fingerprint": "sha256:0a698eacf7893ec33c82d54c37dd31e40224512b5f6427049e9d2163bdf9d5ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005765", "prompt": "Evaluate: -56688 * (3627 - (-3138)) + (-20205) + 9200", "solution_steps": ["Subtract: 3627 - (-3138) = 6765", "Multiply: -56688 * 6765 = -383494320", "Add: -383494320 + (-20205) = -383514525", "Add: -383514525 + 9200 = -383505325"], "final_answer": "-383505325", "answer_type": "integer", "kind": "expression", "math_text": "-56688 * (3627 - (-3138)) + (-20205) + 9200", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -56688, \"b\": 3627, \"c\": -3138, \"d\": -20205, \"e\": 9200}", "seed": "3652769107052876138", "semantic_fingerprint": "sha256:c5f4479293950ae6d15071e4987fdf9d6fd40aa2fd5b1bec6b81d5bb58b121f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005766", "prompt": "Solve the equation 26(x + 2809) = 22(x + 4244) - 20758 for x.", "solution_steps": ["Expand: 26x + 73034 = 22(x + 4244) - 20758", "Expand: 26x + 73034 = 22x + 93368 - 20758", "Combine constants: 26x + 73034 = 22x + 72610", "Subtract 22x from both sides: 4x + 73034 = 72610", "Subtract 73034 from both sides: 4x = -424", "Divide both sides by 4: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x + 2809) = 22(x + 4244) - 20758", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2809, \"c\": 22, \"d\": 4244, \"f\": -20758, \"x\": -106}", "seed": "14810165717051424990", "semantic_fingerprint": "sha256:d1d9e82cc0fd6ac35b7be0f01e2ffdb65c9a682d8e6ea7e31d18a999af2963ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005767", "prompt": "Solve for x: 15x = x + 7625", "solution_steps": ["Subtract x from both sides: 14x = 7625", "Divide both sides by 14: x = 7625/14"], "final_answer": "7625/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = x + 7625", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 7625}", "seed": "16868346846852891765", "semantic_fingerprint": "sha256:6b191c713a202423e9c568461ae267793d8641d21feb7f229daeba74c574fa13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005768", "prompt": "Evaluate: -49529 + (-4525 - 34402)", "solution_steps": ["Subtract: -4525 - 34402 = -38927", "Add: -49529 + (-38927) = -88456"], "final_answer": "-88456", "answer_type": "integer", "kind": "expression", "math_text": "-49529 + (-4525 - 34402)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49529, \"b\": -4525, \"c\": 34402}", "seed": "8962953565320006770", "semantic_fingerprint": "sha256:5d73a0f5cac15037f4bc505a672db4e11a817bf551225cd5272c4968d6ebc960", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005769", "prompt": "Compute: 3669 / (-4764 - (-1886 - (-6425)))", "solution_steps": ["Subtract: -1886 - (-6425) = 4539", "Subtract: -4764 - 4539 = -9303", "Divide: 3669 / (-9303) = -1223/3101"], "final_answer": "-1223/3101", "answer_type": "rational", "kind": "expression", "math_text": "3669 / (-4764 - (-1886 - (-6425)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3669, \"b\": -4764, \"c\": -1886, \"d\": -6425}", "seed": "355191956633843259", "semantic_fingerprint": "sha256:1d6c62f01b44ecdc93f3eadbd1da73c5713a13eb652281fe8d7b62eca8500daa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005770", "prompt": "Evaluate: -4845 / 3909", "solution_steps": ["Divide: -4845 / 3909 = -1615/1303"], "final_answer": "-1615/1303", "answer_type": "rational", "kind": "expression", "math_text": "-4845 / 3909", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4845, \"b\": 3909}", "seed": "8557223893349964963", "semantic_fingerprint": "sha256:91bf0a48940823f4a646c63325ef9103c02aea246dc5054689b69890bbf061b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005771", "prompt": "Evaluate: 39966 * (-1811 - (-47608))", "solution_steps": ["Subtract: -1811 - (-47608) = 45797", "Multiply: 39966 * 45797 = 1830322902"], "final_answer": "1830322902", "answer_type": "integer", "kind": "expression", "math_text": "39966 * (-1811 - (-47608))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39966, \"b\": -1811, \"c\": -47608}", "seed": "4500831583512412441", "semantic_fingerprint": "sha256:60b1a1d87e5643a841d9aa90cf57744fd2783e5107b1c6af4b3c94153931a3c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005772", "prompt": "Compute: 6245 * 17401", "solution_steps": ["Multiply: 6245 * 17401 = 108669245"], "final_answer": "108669245", "answer_type": "integer", "kind": "expression", "math_text": "6245 * 17401", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6245, \"b\": 17401}", "seed": "5406980790867446313", "semantic_fingerprint": "sha256:59ccd6ec02497d12c3be79491a5c7a571b7cbc062a1c6b61eb60ec9e83898d34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005773", "prompt": "Evaluate: -1767 / (1536 - (-7037))", "solution_steps": ["Subtract: 1536 - (-7037) = 8573", "Divide: -1767 / 8573 = -1767/8573"], "final_answer": "-1767/8573", "answer_type": "rational", "kind": "expression", "math_text": "-1767 / (1536 - (-7037))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1767, \"b\": 1536, \"c\": -7037}", "seed": "6888030022982738899", "semantic_fingerprint": "sha256:25f825cbdac27141746d163e40d5553d15a21bc970587b554cd7f8a5b15a2652", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005774", "prompt": "Calculate: -45965 / (-6194) - (28773 + (-2545))", "solution_steps": ["Divide: -45965 / (-6194) = 45965/6194", "Add: 28773 + (-2545) = 26228", "Subtract: 45965/6194 - 26228 = -162410267/6194"], "final_answer": "-162410267/6194", "answer_type": "rational", "kind": "expression", "math_text": "-45965 / (-6194) - (28773 + (-2545))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45965, \"b\": -6194, \"c\": 28773, \"d\": -2545}", "seed": "8186883632389782250", "semantic_fingerprint": "sha256:4ed31a58d2567ee48b66f06c2771352d97bc8ce3ff44926d72d8b223d01a101e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005775", "prompt": "Compute: (7606 / 5153 + 12706) * 7434 - (-42004)", "solution_steps": ["Divide: 7606 / 5153 = 7606/5153", "Add: 7606/5153 + 12706 = 65481624/5153", "Multiply: (65481624/5153) * 7434 = 486790392816/5153", "Subtract: 486790392816/5153 - (-42004) = 487006839428/5153"], "final_answer": "487006839428/5153", "answer_type": "rational", "kind": "expression", "math_text": "(7606 / 5153 + 12706) * 7434 - (-42004)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7606, \"b\": 5153, \"c\": 12706, \"d\": 7434, \"e\": -42004}", "seed": "2353091521615934233", "semantic_fingerprint": "sha256:b6bb0dc51ed69e9d03ed7bcbfef1c07e96cfae1065cebfe2926088fe6aaadfca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005776", "prompt": "Calculate: -67640 - 39196", "solution_steps": ["Subtract: -67640 - 39196 = -106836"], "final_answer": "-106836", "answer_type": "integer", "kind": "expression", "math_text": "-67640 - 39196", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67640, \"b\": 39196}", "seed": "8283953930825996212", "semantic_fingerprint": "sha256:b13046b85992a46a05a13dad17937ce8c32e08a4a1630121b19f7edc573c4369", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005777", "prompt": "Calculate: 32690 + (-38415 * (-55208) - (-1995) * (-4496))", "solution_steps": ["Multiply: -38415 * (-55208) = 2120815320", "Multiply: -1995 * (-4496) = 8969520", "Subtract: 2120815320 - 8969520 = 2111845800", "Add: 32690 + 2111845800 = 2111878490"], "final_answer": "2111878490", "answer_type": "integer", "kind": "expression", "math_text": "32690 + (-38415 * (-55208) - (-1995) * (-4496))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32690, \"b\": -38415, \"c\": -55208, \"d\": -1995, \"e\": -4496}", "seed": "9920663427398307873", "semantic_fingerprint": "sha256:7cd0849af6807f7d098f496baa736d452741c0bddf9a53b1327d52c493229b87", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005778", "prompt": "Compute: -6826 / 7493 * 2064", "solution_steps": ["Divide: -6826 / 7493 = -6826/7493", "Multiply: (-6826/7493) * 2064 = -14088864/7493"], "final_answer": "-14088864/7493", "answer_type": "rational", "kind": "expression", "math_text": "-6826 / 7493 * 2064", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6826, \"b\": 7493, \"c\": 2064}", "seed": "3163906465085820372", "semantic_fingerprint": "sha256:d9dd7e11cf34f31c28b921fc0d069b35126d7072bf44d6ab5296d092eac822e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005779", "prompt": "What is 17588 + (-20792) - (-2050)?", "solution_steps": ["Add: 17588 + (-20792) = -3204", "Subtract: -3204 - (-2050) = -1154"], "final_answer": "-1154", "answer_type": "integer", "kind": "expression", "math_text": "17588 + (-20792) - (-2050)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17588, \"b\": -20792, \"c\": -2050}", "seed": "7898624483697645591", "semantic_fingerprint": "sha256:66e5cc12ed37a6eb00c8e8fa8749786d32317a055b45d3881fc3127f3e24e913", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005780", "prompt": "Evaluate: -9097 / 1908", "solution_steps": ["Divide: -9097 / 1908 = -9097/1908"], "final_answer": "-9097/1908", "answer_type": "rational", "kind": "expression", "math_text": "-9097 / 1908", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9097, \"b\": 1908}", "seed": "3412005711222160917", "semantic_fingerprint": "sha256:5d03c9a011b65d40f696b600fe5ff8a2ef4c1a31e9e1bb5f77a537d84dfa648b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005781", "prompt": "Calculate: 8062 - (-69565)", "solution_steps": ["Subtract: 8062 - (-69565) = 77627"], "final_answer": "77627", "answer_type": "integer", "kind": "expression", "math_text": "8062 - (-69565)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8062, \"b\": -69565}", "seed": "17781629017446490446", "semantic_fingerprint": "sha256:45958fd1ef7b25bdd7baeb141222cb3418ff87d2ed24ea710ca0a5e6408948b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005782", "prompt": "Evaluate: 55884 - (-88199 * (-75125) - (-5078)) + 21469 * 4096", "solution_steps": ["Multiply: -88199 * (-75125) = 6625949875", "Subtract: 6625949875 - (-5078) = 6625954953", "Subtract: 55884 - 6625954953 = -6625899069", "Multiply: 21469 * 4096 = 87937024", "Add: -6625899069 + 87937024 = -6537962045"], "final_answer": "-6537962045", "answer_type": "integer", "kind": "expression", "math_text": "55884 - (-88199 * (-75125) - (-5078)) + 21469 * 4096", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (* n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 55884, \"b\": -88199, \"c\": -75125, \"d\": -5078, \"e\": 21469, \"f\": 4096}", "seed": "6904811335691183942", "semantic_fingerprint": "sha256:3a81be3898501be9e3f96b608adf560b52518900b601639536b8ec54e471c797", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005783", "prompt": "Solve for x: 17(x - 2866) = x + 44321", "solution_steps": ["Expand: 17x - 48722 = x + 44321", "Subtract x from both sides: 16x - 48722 = 44321", "Add 48722 to both sides: 16x = 93043", "Divide both sides by 16: x = 93043/16"], "final_answer": "93043/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 2866) = x + 44321", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2866, \"c\": 44321}", "seed": "11870597901372579338", "semantic_fingerprint": "sha256:7d6575d025e170a5e465082f643a5f37359805092cef01184de4a5a459716c39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005784", "prompt": "Evaluate: -3706 * (-2214 / 29872)", "solution_steps": ["Divide: -2214 / 29872 = -1107/14936", "Multiply: -3706 * (-1107/14936) = 2051271/7468"], "final_answer": "2051271/7468", "answer_type": "rational", "kind": "expression", "math_text": "-3706 * (-2214 / 29872)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3706, \"b\": -2214, \"c\": 29872}", "seed": "65321748451904038", "semantic_fingerprint": "sha256:72595f1832de00eb4877b56d77cb544fdc2e03a530c96395031acb45c1aadb9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005785", "prompt": "Solve the equation 24(x + 29150) + 2879 = x for x.", "solution_steps": ["Expand: 24x + 699600 + 2879 = x", "Combine constants: 24x + 702479 = x", "Subtract x from both sides: 23x + 702479 = 0", "Subtract 702479 from both sides: 23x = -702479", "Divide both sides by 23: x = -702479/23"], "final_answer": "-702479/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 29150) + 2879 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 29150, \"c\": 2879}", "seed": "1125527809744292762", "semantic_fingerprint": "sha256:87d859429b129beca1bfeb48776d94947ee0cc8cbff1957249f965dfd2268569", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005786", "prompt": "Solve for x: 18(x + 1984) - 82981 = 20x - 47319", "solution_steps": ["Expand: 18x + 35712 - 82981 = 20x - 47319", "Combine constants: 18x - 47269 = 20x - 47319", "Subtract 20x from both sides: -2x - 47269 = -47319", "Add 47269 to both sides: -2x = -50", "Divide both sides by -2: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 1984) - 82981 = 20x - 47319", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 1984, \"c\": 82981, \"d\": 20, \"f\": -47319, \"x\": 25}", "seed": "13077908147686075122", "semantic_fingerprint": "sha256:8bbefbdfc7a494763aab0b1a9d18b60d0a7c7cd9109c9c483ab6206dad7b1339", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005787", "prompt": "Evaluate: (39313 + (6114 + 28410)) * (4622 / (-9690 - 53193))", "solution_steps": ["Add: 6114 + 28410 = 34524", "Add: 39313 + 34524 = 73837", "Subtract: -9690 - 53193 = -62883", "Divide: 4622 / (-62883) = -4622/62883", "Multiply: 73837 * (-4622/62883) = -341274614/62883"], "final_answer": "-341274614/62883", "answer_type": "rational", "kind": "expression", "math_text": "(39313 + (6114 + 28410)) * (4622 / (-9690 - 53193))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39313, \"b\": 6114, \"c\": 28410, \"d\": 4622, \"e\": -9690, \"f\": 53193}", "seed": "6090167667872560661", "semantic_fingerprint": "sha256:7eb1f46a1e0a2381fdd4f8d56bcf41012bf55cff7b6b0b5bb73901fa77728cf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005788", "prompt": "Solve the equation 30x + 29664 = 32(x - 6173) for x.", "solution_steps": ["Expand: 30x + 29664 = 32x - 197536", "Subtract 32x from both sides: -2x + 29664 = -197536", "Subtract 29664 from both sides: -2x = -227200", "Divide both sides by -2: x = 113600"], "final_answer": "113600", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 29664 = 32(x - 6173)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 29664, \"c\": 32, \"d\": 6173}", "seed": "4928378201703532608", "semantic_fingerprint": "sha256:d887d745e73022942dddd040ce55356f36776f291841aca4bb5e8d1cee1eee79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005789", "prompt": "Solve the equation 37(x + 8337) - 33802 = 26(x + 7257) for x.", "solution_steps": ["Expand: 37x + 308469 - 33802 = 26(x + 7257)", "Expand: 37x + 308469 - 33802 = 26x + 188682", "Combine constants: 37x + 274667 = 26x + 188682", "Subtract 26x from both sides: 11x + 274667 = 188682", "Subtract 274667 from both sides: 11x = -85985", "Divide both sides by 11: x = -85985/11"], "final_answer": "-85985/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 8337) - 33802 = 26(x + 7257)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 8337, \"c\": 33802, \"d\": 26, \"e\": 7257}", "seed": "4397808760346121517", "semantic_fingerprint": "sha256:8fa73f94f2fb885b118e8a09ed431c50cf784458febc144c9901b54fc041b9e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005790", "prompt": "Evaluate: -21240 - (-19490)", "solution_steps": ["Subtract: -21240 - (-19490) = -1750"], "final_answer": "-1750", "answer_type": "integer", "kind": "expression", "math_text": "-21240 - (-19490)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -21240, \"b\": -19490}", "seed": "11421843875377683172", "semantic_fingerprint": "sha256:329ab882d237ad21a142736ab1ed10c625879415d8a994ed60624917f9ef31c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005791", "prompt": "Calculate: -1893 * (-6952)", "solution_steps": ["Multiply: -1893 * (-6952) = 13160136"], "final_answer": "13160136", "answer_type": "integer", "kind": "expression", "math_text": "-1893 * (-6952)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1893, \"b\": -6952}", "seed": "10355003400158251085", "semantic_fingerprint": "sha256:71b9c776ca8723058f19a0bf84463c28cdb2dc0b48947b6119d99615f8a0198c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005792", "prompt": "Evaluate: -52239 / (4371 + (-7915) + (-6570))", "solution_steps": ["Add: 4371 + (-7915) = -3544", "Add: -3544 + (-6570) = -10114", "Divide: -52239 / (-10114) = 52239/10114"], "final_answer": "52239/10114", "answer_type": "rational", "kind": "expression", "math_text": "-52239 / (4371 + (-7915) + (-6570))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -52239, \"b\": 4371, \"c\": -7915, \"d\": -6570}", "seed": "15457159254053723547", "semantic_fingerprint": "sha256:e0d5c2ef576d0c17b49e67fd6d4f88b887249a6d10fefdc0216ff1ac9430f88e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005793", "prompt": "Solve the equation 16x = -33x for x.", "solution_steps": ["Add 33x to both sides: 49x = 0", "Divide both sides by 49: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = -33x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": -33}", "seed": "15368614730221486463", "semantic_fingerprint": "sha256:614472965e4fed21b6dd0b425a26a6295a853a9f14aa5a5b208252a8d6530767", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005794", "prompt": "Find x: 33(x - 2354) = -14x + 3225", "solution_steps": ["Expand: 33x - 77682 = -14x + 3225", "Add 14x to both sides: 47x - 77682 = 3225", "Add 77682 to both sides: 47x = 80907", "Divide both sides by 47: x = 80907/47"], "final_answer": "80907/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 2354) = -14x + 3225", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2354, \"c\": -14, \"d\": 3225}", "seed": "8724411481226835369", "semantic_fingerprint": "sha256:c0ec01cf8e7b7a2ec82cc0cc123c78802d82af8bdaee4239801d9314a5d55ef7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005795", "prompt": "Evaluate: 28379 * (-60711) - 97705", "solution_steps": ["Multiply: 28379 * (-60711) = -1722917469", "Subtract: -1722917469 - 97705 = -1723015174"], "final_answer": "-1723015174", "answer_type": "integer", "kind": "expression", "math_text": "28379 * (-60711) - 97705", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28379, \"b\": -60711, \"c\": 97705}", "seed": "1920752603583804603", "semantic_fingerprint": "sha256:057bfe99d356a6be79194dd25a93f0e2e5041d44701c2c4205a3ac60a2213d90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005796", "prompt": "Solve for x: x - 62720 = 13(x + 1654) - 82866", "solution_steps": ["Expand: x - 62720 = 13x + 21502 - 82866", "Combine constants: x - 62720 = 13x - 61364", "Subtract 13x from both sides: -12x - 62720 = -61364", "Add 62720 to both sides: -12x = 1356", "Divide both sides by -12: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 62720 = 13(x + 1654) - 82866", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 62720, \"b\": 13, \"c\": 1654, \"e\": -82866, \"x\": -113}", "seed": "14959742879001304408", "semantic_fingerprint": "sha256:92ed9d7d299bd8ecfd6a51582414cd86102846fb1c5f87de8dbf0f8f800c39a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005797", "prompt": "Compute: (2305 - 5864) / 33845", "solution_steps": ["Subtract: 2305 - 5864 = -3559", "Divide: -3559 / 33845 = -3559/33845"], "final_answer": "-3559/33845", "answer_type": "rational", "kind": "expression", "math_text": "(2305 - 5864) / 33845", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2305, \"b\": 5864, \"c\": 33845}", "seed": "865928588764220778", "semantic_fingerprint": "sha256:fc46d70016368f3a4a90d20978ffe3102baab18d612f921566e7ff48e270a0e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005798", "prompt": "What is 6443 * (-2525 + (-4272))?", "solution_steps": ["Add: -2525 + (-4272) = -6797", "Multiply: 6443 * (-6797) = -43793071"], "final_answer": "-43793071", "answer_type": "integer", "kind": "expression", "math_text": "6443 * (-2525 + (-4272))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6443, \"b\": -2525, \"c\": -4272}", "seed": "12843905979271606283", "semantic_fingerprint": "sha256:5f8617c896dc6435c5f31e8e5ec998af3ce82f70c1927df659eb5b01614ea881", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005799", "prompt": "Evaluate: 80653 + 4205 + (-95038)", "solution_steps": ["Add: 80653 + 4205 = 84858", "Add: 84858 + (-95038) = -10180"], "final_answer": "-10180", "answer_type": "integer", "kind": "expression", "math_text": "80653 + 4205 + (-95038)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80653, \"b\": 4205, \"c\": -95038}", "seed": "1742788908942589632", "semantic_fingerprint": "sha256:bf8f90038f3ab9a64747b7a3c442abe11de403368a7092d4905a6a92fedeeb85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005800", "prompt": "Solve the equation x - 57458 = -57264 for x.", "solution_steps": ["Add 57458 to both sides: x = 194"], "final_answer": "194", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 57458 = -57264", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57458, \"c\": -57264, \"x\": 194}", "seed": "6061209930033248380", "semantic_fingerprint": "sha256:7ecee410478a764fa7d174352d388fee6d2863d400a2e05a3bcd08e01ed3146f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005801", "prompt": "Find x: 22(x + 2609) - 9336 = 24(x - 64738) - 88869", "solution_steps": ["Expand: 22x + 57398 - 9336 = 24(x - 64738) - 88869", "Expand: 22x + 57398 - 9336 = 24x - 1553712 - 88869", "Combine constants: 22x + 48062 = 24x - 1553712 - 88869", "Combine constants: 22x + 48062 = 24x - 1642581", "Subtract 24x from both sides: -2x + 48062 = -1642581", "Subtract 48062 from both sides: -2x = -1690643", "Divide both sides by -2: x = 1690643/2"], "final_answer": "1690643/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 2609) - 9336 = 24(x - 64738) - 88869", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2609, \"c\": 9336, \"d\": 24, \"e\": 64738, \"f\": 88869}", "seed": "2599620996591852010", "semantic_fingerprint": "sha256:d31ab1bdfc23c5a8939cfb4b84ce0fb9a95df7362e9afa2b341bd3a9e3a600ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005802", "prompt": "What is -19426 - (-7353)?", "solution_steps": ["Subtract: -19426 - (-7353) = -12073"], "final_answer": "-12073", "answer_type": "integer", "kind": "expression", "math_text": "-19426 - (-7353)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -19426, \"b\": -7353}", "seed": "10759747520078480519", "semantic_fingerprint": "sha256:440982c31058178b6fc69911a4417bd56217f64f82919cbbd4bd78c612c38b73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005803", "prompt": "Compute: 65141 * 9879", "solution_steps": ["Multiply: 65141 * 9879 = 643527939"], "final_answer": "643527939", "answer_type": "integer", "kind": "expression", "math_text": "65141 * 9879", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 65141, \"b\": 9879}", "seed": "8635398393396281245", "semantic_fingerprint": "sha256:1b5d0a028914076f72403065ffe616253c582be60757fa9ff74455b9d4234fbb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005804", "prompt": "Calculate: 46220 - (18311 + 4571 + (-9935))", "solution_steps": ["Add: 18311 + 4571 = 22882", "Add: 22882 + (-9935) = 12947", "Subtract: 46220 - 12947 = 33273"], "final_answer": "33273", "answer_type": "integer", "kind": "expression", "math_text": "46220 - (18311 + 4571 + (-9935))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 46220, \"b\": 18311, \"c\": 4571, \"d\": -9935}", "seed": "8588564984976127307", "semantic_fingerprint": "sha256:124fa776efdec2d3b972ed2ef1427becaa9c93f965aa0f26e05d7543d2b923f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005805", "prompt": "What is -5385 - (6573 + (-40013)) - (-28882) - 44213?", "solution_steps": ["Add: 6573 + (-40013) = -33440", "Subtract: -5385 - (-33440) = 28055", "Subtract: 28055 - (-28882) = 56937", "Subtract: 56937 - 44213 = 12724"], "final_answer": "12724", "answer_type": "integer", "kind": "expression", "math_text": "-5385 - (6573 + (-40013)) - (-28882) - 44213", "variable": null, "family": "expression_4op", "shape": "(- (- (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5385, \"b\": 6573, \"c\": -40013, \"d\": -28882, \"e\": 44213}", "seed": "9341194916974132919", "semantic_fingerprint": "sha256:a6b567a825e7c2074daacdb4d0e109168eea5d6dc40b3ebf633b262b75db482b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005806", "prompt": "Evaluate: 1859 / (-1787 - (-46396 + (-21560)))", "solution_steps": ["Add: -46396 + (-21560) = -67956", "Subtract: -1787 - (-67956) = 66169", "Divide: 1859 / 66169 = 1859/66169"], "final_answer": "1859/66169", "answer_type": "rational", "kind": "expression", "math_text": "1859 / (-1787 - (-46396 + (-21560)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1859, \"b\": -1787, \"c\": -46396, \"d\": -21560}", "seed": "15325819605956653553", "semantic_fingerprint": "sha256:589143e76bd20f505f70d07c20a5e9a316002fc06a9f2d6317326870ac1d8faa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005807", "prompt": "Solve the equation -34x = x for x.", "solution_steps": ["Subtract x from both sides: -35x = 0", "Divide both sides by -35: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34}", "seed": "2769863518175391416", "semantic_fingerprint": "sha256:227a51e4cb4e8727d7f701b43dea51db1ab76452f839d58296560cbdb33e83e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005808", "prompt": "What value of x satisfies 26(x + 55833) - 2096 = -22(x - 8496) + 4461?", "solution_steps": ["Expand: 26x + 1451658 - 2096 = -22(x - 8496) + 4461", "Expand: 26x + 1451658 - 2096 = -22x + 186912 + 4461", "Combine constants: 26x + 1449562 = -22x + 186912 + 4461", "Combine constants: 26x + 1449562 = -22x + 191373", "Add 22x to both sides: 48x + 1449562 = 191373", "Subtract 1449562 from both sides: 48x = -1258189", "Divide both sides by 48: x = -1258189/48"], "final_answer": "-1258189/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 55833) - 2096 = -22(x - 8496) + 4461", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 55833, \"c\": 2096, \"d\": -22, \"e\": 8496, \"f\": 4461}", "seed": "15726294277317603560", "semantic_fingerprint": "sha256:b2d1fc2d0d4255039f5dc1fa8703f786e5887d7145d679f63da95c32da33dce9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005809", "prompt": "Calculate: 9378 + (3891 + 5869) + 3601 + (-6648)", "solution_steps": ["Add: 3891 + 5869 = 9760", "Add: 9378 + 9760 = 19138", "Add: 19138 + 3601 = 22739", "Add: 22739 + (-6648) = 16091"], "final_answer": "16091", "answer_type": "integer", "kind": "expression", "math_text": "9378 + (3891 + 5869) + 3601 + (-6648)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9378, \"b\": 3891, \"c\": 5869, \"d\": 3601, \"e\": -6648}", "seed": "11328560831431433194", "semantic_fingerprint": "sha256:da47a47e1b078a38bbd8c7ff094c089624a38427fc870f2b5c731b590bb27b96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005810", "prompt": "Find x: 19(x + 60032) = x", "solution_steps": ["Expand: 19x + 1140608 = x", "Subtract x from both sides: 18x + 1140608 = 0", "Subtract 1140608 from both sides: 18x = -1140608", "Divide both sides by 18: x = -570304/9"], "final_answer": "-570304/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 60032) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 60032}", "seed": "10387166962715945707", "semantic_fingerprint": "sha256:2dc64d62f1190ccc93d60630d4994ce793fc09d78978f32a9eda6528a4273b92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005811", "prompt": "What is 4578 * 1997 / 3512?", "solution_steps": ["Multiply: 4578 * 1997 = 9142266", "Divide: 9142266 / 3512 = 4571133/1756"], "final_answer": "4571133/1756", "answer_type": "rational", "kind": "expression", "math_text": "4578 * 1997 / 3512", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4578, \"b\": 1997, \"c\": 3512}", "seed": "308289961326827462", "semantic_fingerprint": "sha256:c4ac686ba3cb717b9dc9b2e6f0991b24ecf32214e9395479de0f7acbf18c3dad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005812", "prompt": "Solve the equation 13x = x - 67635 for x.", "solution_steps": ["Subtract x from both sides: 12x = -67635", "Divide both sides by 12: x = -22545/4"], "final_answer": "-22545/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = x - 67635", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 67635}", "seed": "17778330312018016817", "semantic_fingerprint": "sha256:b3801febcca0c778326ae1e5f2eef2594aefede4832574eb54019cbb070e387c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005813", "prompt": "Solve for x: -24(x + 6228) - 35429 = -29(x + 31915) - 5056", "solution_steps": ["Expand: -24x - 149472 - 35429 = -29(x + 31915) - 5056", "Expand: -24x - 149472 - 35429 = -29x - 925535 - 5056", "Combine constants: -24x - 184901 = -29x - 925535 - 5056", "Combine constants: -24x - 184901 = -29x - 930591", "Add 29x to both sides: 5x - 184901 = -930591", "Add 184901 to both sides: 5x = -745690", "Divide both sides by 5: x = -149138"], "final_answer": "-149138", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x + 6228) - 35429 = -29(x + 31915) - 5056", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 6228, \"c\": 35429, \"d\": -29, \"e\": 31915, \"f\": 5056}", "seed": "12268984021529326258", "semantic_fingerprint": "sha256:4643b1b7de6ac0f8e5cf5c79db98bbb579243a4dd6c9b54981eff778194cdf71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005814", "prompt": "Evaluate: 5763 / (-89232 + (84859 + 84359))", "solution_steps": ["Add: 84859 + 84359 = 169218", "Add: -89232 + 169218 = 79986", "Divide: 5763 / 79986 = 1921/26662"], "final_answer": "1921/26662", "answer_type": "rational", "kind": "expression", "math_text": "5763 / (-89232 + (84859 + 84359))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5763, \"b\": -89232, \"c\": 84859, \"d\": 84359}", "seed": "11007500945474437015", "semantic_fingerprint": "sha256:0c61ab5e86fd1c67bb260f0d2752341e4401503303f96508d397aa6ab474b538", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005815", "prompt": "Calculate: (6545 - (80569 + (-9216) + 1762)) * 17520", "solution_steps": ["Add: 80569 + (-9216) = 71353", "Add: 71353 + 1762 = 73115", "Subtract: 6545 - 73115 = -66570", "Multiply: -66570 * 17520 = -1166306400"], "final_answer": "-1166306400", "answer_type": "integer", "kind": "expression", "math_text": "(6545 - (80569 + (-9216) + 1762)) * 17520", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6545, \"b\": 80569, \"c\": -9216, \"d\": 1762, \"e\": 17520}", "seed": "11716904956552669056", "semantic_fingerprint": "sha256:2aae715a4e7c8d86af5f51143e9f778d08df6ff6d74f654079ff01c0a6aab8ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005816", "prompt": "Calculate: 58570 * (-5298)", "solution_steps": ["Multiply: 58570 * (-5298) = -310303860"], "final_answer": "-310303860", "answer_type": "integer", "kind": "expression", "math_text": "58570 * (-5298)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 58570, \"b\": -5298}", "seed": "13664151999724797883", "semantic_fingerprint": "sha256:02996408c8a0d77b4517891691ad62eeb1643655ac05748289fa6ce3d4dacc6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005817", "prompt": "Solve for x: 20(x + 3140) = 16(x + 1202) + 42976", "solution_steps": ["Expand: 20x + 62800 = 16(x + 1202) + 42976", "Expand: 20x + 62800 = 16x + 19232 + 42976", "Combine constants: 20x + 62800 = 16x + 62208", "Subtract 16x from both sides: 4x + 62800 = 62208", "Subtract 62800 from both sides: 4x = -592", "Divide both sides by 4: x = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 3140) = 16(x + 1202) + 42976", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3140, \"c\": 16, \"d\": 1202, \"f\": 42976, \"x\": -148}", "seed": "1882798200652268396", "semantic_fingerprint": "sha256:386301bcdb1eaacc77e8cb9965a9eaf3dda021641b6906d1e7a8d276c922550e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005818", "prompt": "Solve for x: -21(x + 8108) = 30x", "solution_steps": ["Expand: -21x - 170268 = 30x", "Subtract 30x from both sides: -51x - 170268 = 0", "Add 170268 to both sides: -51x = 170268", "Divide both sides by -51: x = -56756/17"], "final_answer": "-56756/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x + 8108) = 30x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 8108, \"c\": 30}", "seed": "6387836563064801025", "semantic_fingerprint": "sha256:3111fa9f1d2034909fb219a1a3bb072d083fc61ee6b96d0ec01475ced10e2e2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005819", "prompt": "Find x: x - 48225 = -26x - 13821", "solution_steps": ["Add 26x to both sides: 27x - 48225 = -13821", "Add 48225 to both sides: 27x = 34404", "Divide both sides by 27: x = 11468/9"], "final_answer": "11468/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 48225 = -26x - 13821", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48225, \"b\": -26, \"c\": 13821}", "seed": "6925222981189812424", "semantic_fingerprint": "sha256:1ef403b78a5c65b9ca0ea020fb712aada0b0d81de4e16dfe5443443dfde153fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005820", "prompt": "Evaluate: 80115 - (-53055)", "solution_steps": ["Subtract: 80115 - (-53055) = 133170"], "final_answer": "133170", "answer_type": "integer", "kind": "expression", "math_text": "80115 - (-53055)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 80115, \"b\": -53055}", "seed": "17694360431911147392", "semantic_fingerprint": "sha256:f48b0dbe75e5419075b5f65da54783ab719e459d74284af33af383e25f7881eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005821", "prompt": "What value of x satisfies x = 34x - 3102?", "solution_steps": ["Subtract 34x from both sides: -33x = -3102", "Divide both sides by -33: x = 94"], "final_answer": "94", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 34x - 3102", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"c\": -3102, \"x\": 94}", "seed": "8619025475969212541", "semantic_fingerprint": "sha256:a8358812a4cc29e68fbd425190059db5272351042aab4a61a04d378cb7e591cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005822", "prompt": "Evaluate: -8559 + (-7707 + (-3994)) * (-8809)", "solution_steps": ["Add: -7707 + (-3994) = -11701", "Multiply: -11701 * (-8809) = 103074109", "Add: -8559 + 103074109 = 103065550"], "final_answer": "103065550", "answer_type": "integer", "kind": "expression", "math_text": "-8559 + (-7707 + (-3994)) * (-8809)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8559, \"b\": -7707, \"c\": -3994, \"d\": -8809}", "seed": "7181833250394288854", "semantic_fingerprint": "sha256:7b5d11e9c0bd13bff2c271e31b5c997afdf47cd7a3908084ee6e2e5c17a72281", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005823", "prompt": "Solve for x: 21x - 7582 = x - 8382", "solution_steps": ["Subtract x from both sides: 20x - 7582 = -8382", "Add 7582 to both sides: 20x = -800", "Divide both sides by 20: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x - 7582 = x - 8382", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 7582, \"d\": -8382, \"x\": -40}", "seed": "13287733640963873762", "semantic_fingerprint": "sha256:d5c821be44b710558f2083bc5aade7964a7f240a566d8dcf066e8ea59bbcca2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005824", "prompt": "What value of x satisfies x = 39(x + 28547)?", "solution_steps": ["Expand: x = 39x + 1113333", "Subtract 39x from both sides: -38x = 1113333", "Divide both sides by -38: x = -1113333/38"], "final_answer": "-1113333/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 39(x + 28547)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 28547}", "seed": "10519906992884388060", "semantic_fingerprint": "sha256:21c2f1d0afc7d9c8dd002c602882bb0c1da12cee7566ced72aebedc57ac9b676", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005825", "prompt": "Calculate: 85529 / 8607", "solution_steps": ["Divide: 85529 / 8607 = 85529/8607"], "final_answer": "85529/8607", "answer_type": "rational", "kind": "expression", "math_text": "85529 / 8607", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85529, \"b\": 8607}", "seed": "16101984009746501266", "semantic_fingerprint": "sha256:bb7108d3993fd6d02e863883ed0edd6ce64d28d844ec7786d4979499b022d888", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005826", "prompt": "Calculate: (-8020 - (47538 - (-5384) + 1034)) * (5291 + (-8544))", "solution_steps": ["Subtract: 47538 - (-5384) = 52922", "Add: 52922 + 1034 = 53956", "Subtract: -8020 - 53956 = -61976", "Add: 5291 + (-8544) = -3253", "Multiply: -61976 * (-3253) = 201607928"], "final_answer": "201607928", "answer_type": "integer", "kind": "expression", "math_text": "(-8020 - (47538 - (-5384) + 1034)) * (5291 + (-8544))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8020, \"b\": 47538, \"c\": -5384, \"d\": 1034, \"e\": 5291, \"f\": -8544}", "seed": "8243436636194021295", "semantic_fingerprint": "sha256:19b8db21d8073f2682157694b9fba4151a5f838fb2675ac82037db698ed1b950", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005827", "prompt": "What value of x satisfies 31x - 3786 = x - 7806?", "solution_steps": ["Subtract x from both sides: 30x - 3786 = -7806", "Add 3786 to both sides: 30x = -4020", "Divide both sides by 30: x = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x - 3786 = x - 7806", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3786, \"d\": -7806, \"x\": -134}", "seed": "4038130093681084964", "semantic_fingerprint": "sha256:1c25bc4ed63f870d335f7aa90d44994cd96aa55d018f9280245f5e3626e67a9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005828", "prompt": "Solve the equation 27x - 27154 = x - 24606 for x.", "solution_steps": ["Subtract x from both sides: 26x - 27154 = -24606", "Add 27154 to both sides: 26x = 2548", "Divide both sides by 26: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 27154 = x - 24606", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 27154, \"d\": -24606, \"x\": 98}", "seed": "2166249348180181067", "semantic_fingerprint": "sha256:124d5a71eb8262d447e70ac60883119bcf473ab9cc3d554dfb8f849bff0a2a66", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005829", "prompt": "Solve for x: x = 15(x + 74142) - 9035", "solution_steps": ["Expand: x = 15x + 1112130 - 9035", "Combine constants: x = 15x + 1103095", "Subtract 15x from both sides: -14x = 1103095", "Divide both sides by -14: x = -157585/2"], "final_answer": "-157585/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 15(x + 74142) - 9035", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 74142, \"c\": 9035}", "seed": "15526496063289661639", "semantic_fingerprint": "sha256:2df3b8b9cc404c409ebdb506cffbd1e914f0a37326ce2794ffff7a4b675c163e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005830", "prompt": "What is -8831 + 42941 - (-6770) * (-4301)?", "solution_steps": ["Add: -8831 + 42941 = 34110", "Multiply: -6770 * (-4301) = 29117770", "Subtract: 34110 - 29117770 = -29083660"], "final_answer": "-29083660", "answer_type": "integer", "kind": "expression", "math_text": "-8831 + 42941 - (-6770) * (-4301)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8831, \"b\": 42941, \"c\": -6770, \"d\": -4301}", "seed": "7936119583462984896", "semantic_fingerprint": "sha256:b4b7003682d000d9e7075378ab265f504a8da5ee949dbabee4e58413ad04b43a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005831", "prompt": "What is -72997 - (-92926) / (-3393)?", "solution_steps": ["Divide: -92926 / (-3393) = 92926/3393", "Subtract: -72997 - 92926/3393 = -247771747/3393"], "final_answer": "-247771747/3393", "answer_type": "rational", "kind": "expression", "math_text": "-72997 - (-92926) / (-3393)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72997, \"b\": -92926, \"c\": -3393}", "seed": "6613975271560337591", "semantic_fingerprint": "sha256:0fb7727ea9df963bd55ff9a02482b3b4b715e46599453b0607c3123fa4d8c54a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005832", "prompt": "What is -1440 / (-48102) * (-20400 * (-5829) - 68240)?", "solution_steps": ["Divide: -1440 / (-48102) = 240/8017", "Multiply: -20400 * (-5829) = 118911600", "Subtract: 118911600 - 68240 = 118843360", "Multiply: (240/8017) * 118843360 = 28522406400/8017"], "final_answer": "28522406400/8017", "answer_type": "rational", "kind": "expression", "math_text": "-1440 / (-48102) * (-20400 * (-5829) - 68240)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1440, \"b\": -48102, \"c\": -20400, \"d\": -5829, \"e\": 68240}", "seed": "7304073801675505281", "semantic_fingerprint": "sha256:1807e0ccbd578e12be2041ca14b2a52a7f326855f05dec3326b1ec431a389eea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005833", "prompt": "What value of x satisfies x - 83837 = 13(x - 6617)?", "solution_steps": ["Expand: x - 83837 = 13x - 86021", "Subtract 13x from both sides: -12x - 83837 = -86021", "Add 83837 to both sides: -12x = -2184", "Divide both sides by -12: x = 182"], "final_answer": "182", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 83837 = 13(x - 6617)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6617, \"d\": -83837, \"x\": 182}", "seed": "1241459192263981591", "semantic_fingerprint": "sha256:a0945dc67f10a54a246b004ef4cc3299e1a305c5b2371108e0a7c4410f071269", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005834", "prompt": "What is 2037 * 2952 + (-32034)?", "solution_steps": ["Multiply: 2037 * 2952 = 6013224", "Add: 6013224 + (-32034) = 5981190"], "final_answer": "5981190", "answer_type": "integer", "kind": "expression", "math_text": "2037 * 2952 + (-32034)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2037, \"b\": 2952, \"c\": -32034}", "seed": "6749129560359975603", "semantic_fingerprint": "sha256:8a8e4b798e4d21b7d66026a5d71e4a57e4289985573e343b227d85726872b088", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005835", "prompt": "Find x: 30(x - 1741) - 8102 = -10973", "solution_steps": ["Expand: 30x - 52230 - 8102 = -10973", "Combine constants: 30x - 60332 = -10973", "Add 60332 to both sides: 30x = 49359", "Divide both sides by 30: x = 16453/10"], "final_answer": "16453/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 1741) - 8102 = -10973", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1741, \"c\": 8102, \"d\": -10973}", "seed": "14749393687757575516", "semantic_fingerprint": "sha256:e94a1ee04d183695bf332fc2f732b1566060cbe44764dee2c7c5fc126ed84c7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005836", "prompt": "Solve the equation 23(x - 4295) + 8134 = -89639 for x.", "solution_steps": ["Expand: 23x - 98785 + 8134 = -89639", "Combine constants: 23x - 90651 = -89639", "Add 90651 to both sides: 23x = 1012", "Divide both sides by 23: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x - 4295) + 8134 = -89639", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 4295, \"c\": 8134, \"e\": -89639, \"x\": 44}", "seed": "1978516996509093252", "semantic_fingerprint": "sha256:df51e95fc8f567c715fc1d43af26b675b62c990727a52e8fbf4a5dfeacc4cad7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005837", "prompt": "Find x: 13x - 2290 = x - 4474", "solution_steps": ["Subtract x from both sides: 12x - 2290 = -4474", "Add 2290 to both sides: 12x = -2184", "Divide both sides by 12: x = -182"], "final_answer": "-182", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x - 2290 = x - 4474", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2290, \"d\": -4474, \"x\": -182}", "seed": "10793620064160687779", "semantic_fingerprint": "sha256:b8b7f973d14e6fcb1b0e4068b8c2db1313e90184371a3872978db07f199cd69b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005838", "prompt": "What value of x satisfies 13(x - 12109) = x?", "solution_steps": ["Expand: 13x - 157417 = x", "Subtract x from both sides: 12x - 157417 = 0", "Add 157417 to both sides: 12x = 157417", "Divide both sides by 12: x = 157417/12"], "final_answer": "157417/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 12109) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 12109}", "seed": "14179490902132981321", "semantic_fingerprint": "sha256:c6c1793f9fc7ef22b1f8f7fe87b98ffac672c069d2c020cc4baed3ef88e5dc36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005839", "prompt": "Find x: 27x = 40(x - 7637)", "solution_steps": ["Expand: 27x = 40x - 305480", "Subtract 40x from both sides: -13x = -305480", "Divide both sides by -13: x = 305480/13"], "final_answer": "305480/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x = 40(x - 7637)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 40, \"c\": 7637}", "seed": "15824187801484696354", "semantic_fingerprint": "sha256:483c6c5581cd17a57b621691aa44deb3bcdd3bb71f173f32c803e20d5843d02c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005840", "prompt": "Compute: (5783 - (-4111)) * (-6632 + 78443)", "solution_steps": ["Subtract: 5783 - (-4111) = 9894", "Add: -6632 + 78443 = 71811", "Multiply: 9894 * 71811 = 710498034"], "final_answer": "710498034", "answer_type": "integer", "kind": "expression", "math_text": "(5783 - (-4111)) * (-6632 + 78443)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5783, \"b\": -4111, \"c\": -6632, \"d\": 78443}", "seed": "4230780884017419443", "semantic_fingerprint": "sha256:241ed85e9e734fb030480487b438bc4a89a751ff13e025e256a5982beee6dddc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005841", "prompt": "Compute: -4870 + 37129 - 9055 / (-3322)", "solution_steps": ["Add: -4870 + 37129 = 32259", "Divide: 9055 / (-3322) = -9055/3322", "Subtract: 32259 - (-9055/3322) = 107173453/3322"], "final_answer": "107173453/3322", "answer_type": "rational", "kind": "expression", "math_text": "-4870 + 37129 - 9055 / (-3322)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4870, \"b\": 37129, \"c\": 9055, \"d\": -3322}", "seed": "4624536789430836327", "semantic_fingerprint": "sha256:9450eebb5a621f4c30518bf340cc8558bbb761bd1d51428a809e76bd53acfadf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005842", "prompt": "Evaluate: -8097 - (5365 + 3853)", "solution_steps": ["Add: 5365 + 3853 = 9218", "Subtract: -8097 - 9218 = -17315"], "final_answer": "-17315", "answer_type": "integer", "kind": "expression", "math_text": "-8097 - (5365 + 3853)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8097, \"b\": 5365, \"c\": 3853}", "seed": "2292827974108924025", "semantic_fingerprint": "sha256:adb642104a584e34bfd3c0901eaf5def6ef4e39fbe486dbd3c5f0daafe85b674", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005843", "prompt": "What is (-1010 * (-4666) - (-69425 - (-1846))) / (-9568)?", "solution_steps": ["Multiply: -1010 * (-4666) = 4712660", "Subtract: -69425 - (-1846) = -67579", "Subtract: 4712660 - (-67579) = 4780239", "Divide: 4780239 / (-9568) = -4780239/9568"], "final_answer": "-4780239/9568", "answer_type": "rational", "kind": "expression", "math_text": "(-1010 * (-4666) - (-69425 - (-1846))) / (-9568)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1010, \"b\": -4666, \"c\": -69425, \"d\": -1846, \"e\": -9568}", "seed": "9887085004361768658", "semantic_fingerprint": "sha256:2aa5090f49c4657f565a989dea19d90f5a6935abe54f9471bfc3adb0ce173801", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005844", "prompt": "Calculate: 39534 + (-95964 + (-9532) * (7314 - (-91664)))", "solution_steps": ["Subtract: 7314 - (-91664) = 98978", "Multiply: -9532 * 98978 = -943458296", "Add: -95964 + (-943458296) = -943554260", "Add: 39534 + (-943554260) = -943514726"], "final_answer": "-943514726", "answer_type": "integer", "kind": "expression", "math_text": "39534 + (-95964 + (-9532) * (7314 - (-91664)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39534, \"b\": -95964, \"c\": -9532, \"d\": 7314, \"e\": -91664}", "seed": "7243491506864447308", "semantic_fingerprint": "sha256:c85e7a42d8a0b6de447b0d76567c791b4682c5646d46a735c6c18aaddcbe8c9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005845", "prompt": "What is 6971 * (-22583 / 5345)?", "solution_steps": ["Divide: -22583 / 5345 = -22583/5345", "Multiply: 6971 * (-22583/5345) = -157426093/5345"], "final_answer": "-157426093/5345", "answer_type": "rational", "kind": "expression", "math_text": "6971 * (-22583 / 5345)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6971, \"b\": -22583, \"c\": 5345}", "seed": "11179829843600019164", "semantic_fingerprint": "sha256:c5dea7c1d4c0567ac533cda9308a6e736a3c4dc08a6094ce403825a71ac1f5b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005846", "prompt": "Compute: -91558 + (-6679)", "solution_steps": ["Add: -91558 + (-6679) = -98237"], "final_answer": "-98237", "answer_type": "integer", "kind": "expression", "math_text": "-91558 + (-6679)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91558, \"b\": -6679}", "seed": "4409278867397605849", "semantic_fingerprint": "sha256:50c9e3d700fd0f7528b2d6a3be433d863affd6d9cc49a36ca828ede9210df985", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005847", "prompt": "Solve the equation 27(x + 3199) = 18(x - 2813) - 1096 for x.", "solution_steps": ["Expand: 27x + 86373 = 18(x - 2813) - 1096", "Expand: 27x + 86373 = 18x - 50634 - 1096", "Combine constants: 27x + 86373 = 18x - 51730", "Subtract 18x from both sides: 9x + 86373 = -51730", "Subtract 86373 from both sides: 9x = -138103", "Divide both sides by 9: x = -138103/9"], "final_answer": "-138103/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 3199) = 18(x - 2813) - 1096", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 3199, \"c\": 18, \"d\": 2813, \"e\": 1096}", "seed": "8356738849343713345", "semantic_fingerprint": "sha256:0018b0105a477a947c02251041bb8a0c1e8d60f4eb2ce5d08510d0a114f3ba2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005848", "prompt": "Compute: -2309 * (-1201) / (-78770)", "solution_steps": ["Multiply: -2309 * (-1201) = 2773109", "Divide: 2773109 / (-78770) = -2773109/78770"], "final_answer": "-2773109/78770", "answer_type": "rational", "kind": "expression", "math_text": "-2309 * (-1201) / (-78770)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2309, \"b\": -1201, \"c\": -78770}", "seed": "18297697258014954568", "semantic_fingerprint": "sha256:f0c798708474edc38fbb90d57f3aef0e5b341b0818efacf4bf87f38f4ddcc1ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005849", "prompt": "Compute: -4042 + (-24806 + 57603) / 16760", "solution_steps": ["Add: -24806 + 57603 = 32797", "Divide: 32797 / 16760 = 32797/16760", "Add: -4042 + 32797/16760 = -67711123/16760"], "final_answer": "-67711123/16760", "answer_type": "rational", "kind": "expression", "math_text": "-4042 + (-24806 + 57603) / 16760", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4042, \"b\": -24806, \"c\": 57603, \"d\": 16760}", "seed": "14989684245312859362", "semantic_fingerprint": "sha256:b336e08d32f39b5567e1f1f08a69f0f625c91909b13e086c3153ecb191c41e5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005850", "prompt": "Find x: 21(x + 1907) = 5187", "solution_steps": ["Expand: 21x + 40047 = 5187", "Subtract 40047 from both sides: 21x = -34860", "Divide both sides by 21: x = -1660"], "final_answer": "-1660", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 1907) = 5187", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1907, \"c\": 5187}", "seed": "3208620165183517606", "semantic_fingerprint": "sha256:5e96dc3e62302e6bdcb46a4cec8e0a63079f661f84a011b9afe64465b0ed5b77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005851", "prompt": "What value of x satisfies x - 8695 = 31(x + 4161) + 70940?", "solution_steps": ["Expand: x - 8695 = 31x + 128991 + 70940", "Combine constants: x - 8695 = 31x + 199931", "Subtract 31x from both sides: -30x - 8695 = 199931", "Add 8695 to both sides: -30x = 208626", "Divide both sides by -30: x = -34771/5"], "final_answer": "-34771/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8695 = 31(x + 4161) + 70940", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8695, \"b\": 31, \"c\": 4161, \"d\": 70940}", "seed": "11887279850683806213", "semantic_fingerprint": "sha256:cc7fba1bd9f25ba3b822ba40ff9d9216215d6602326cd705db66dda6c2de804e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005852", "prompt": "Calculate: -16674 - (-73422) * 2329 + (-4363)", "solution_steps": ["Multiply: -73422 * 2329 = -170999838", "Subtract: -16674 - (-170999838) = 170983164", "Add: 170983164 + (-4363) = 170978801"], "final_answer": "170978801", "answer_type": "integer", "kind": "expression", "math_text": "-16674 - (-73422) * 2329 + (-4363)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16674, \"b\": -73422, \"c\": 2329, \"d\": -4363}", "seed": "9528878808299329748", "semantic_fingerprint": "sha256:acb3994dc85d7130b61b4dc39790b017a5e25627924ffaf0309cc6952c9c23cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005853", "prompt": "Calculate: (1421 + 77293) / (-37104) + (-3664 - (-5272)) + (-35841)", "solution_steps": ["Add: 1421 + 77293 = 78714", "Divide: 78714 / (-37104) = -13119/6184", "Subtract: -3664 - (-5272) = 1608", "Add: -13119/6184 + 1608 = 9930753/6184", "Add: 9930753/6184 + (-35841) = -211709991/6184"], "final_answer": "-211709991/6184", "answer_type": "rational", "kind": "expression", "math_text": "(1421 + 77293) / (-37104) + (-3664 - (-5272)) + (-35841)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ (+ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1421, \"b\": 77293, \"c\": -37104, \"d\": -3664, \"e\": -5272, \"f\": -35841}", "seed": "17386003146419760866", "semantic_fingerprint": "sha256:8a89a94024990e10b34be782acb63c3cccf219b189922ac1caa7e34ca9c57979", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005854", "prompt": "What is (8673 - 6826) * (5365 + 2490 * 7784)?", "solution_steps": ["Subtract: 8673 - 6826 = 1847", "Multiply: 2490 * 7784 = 19382160", "Add: 5365 + 19382160 = 19387525", "Multiply: 1847 * 19387525 = 35808758675"], "final_answer": "35808758675", "answer_type": "integer", "kind": "expression", "math_text": "(8673 - 6826) * (5365 + 2490 * 7784)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8673, \"b\": 6826, \"c\": 5365, \"d\": 2490, \"e\": 7784}", "seed": "13562013698647247649", "semantic_fingerprint": "sha256:3ace185ceb85b9616028ab7f2358cdbddc6b4209f237ee6890c79dec2dc13bc8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005855", "prompt": "Solve for x: 29(x - 89655) = 16x", "solution_steps": ["Expand: 29x - 2599995 = 16x", "Subtract 16x from both sides: 13x - 2599995 = 0", "Add 2599995 to both sides: 13x = 2599995", "Divide both sides by 13: x = 2599995/13"], "final_answer": "2599995/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 89655) = 16x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 89655, \"c\": 16}", "seed": "15630931970789226216", "semantic_fingerprint": "sha256:087f4cf5941613f6b73076e73f98422c00c4f3e428149c4fe1ae2b4f9a62fc14", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005856", "prompt": "What value of x satisfies x - 30047 = -30178?", "solution_steps": ["Add 30047 to both sides: x = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 30047 = -30178", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30047, \"c\": -30178, \"x\": -131}", "seed": "9297382430165335889", "semantic_fingerprint": "sha256:df34fbf58ba1cfdaf15f5768772a6e86071ed2f5f51be27c7e8941e6250df419", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005857", "prompt": "Compute: 70288 + (6868 + 29427)", "solution_steps": ["Add: 6868 + 29427 = 36295", "Add: 70288 + 36295 = 106583"], "final_answer": "106583", "answer_type": "integer", "kind": "expression", "math_text": "70288 + (6868 + 29427)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70288, \"b\": 6868, \"c\": 29427}", "seed": "13680363123984130538", "semantic_fingerprint": "sha256:47913234aeaa3b2539194f0e34f7946d5c720b011c826859ed517aedc72dc71c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005858", "prompt": "Find x: 22(x + 2177) = 23(x + 5382) - 76061", "solution_steps": ["Expand: 22x + 47894 = 23(x + 5382) - 76061", "Expand: 22x + 47894 = 23x + 123786 - 76061", "Combine constants: 22x + 47894 = 23x + 47725", "Subtract 23x from both sides: -x + 47894 = 47725", "Subtract 47894 from both sides: -x = -169", "Divide both sides by -1: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 2177) = 23(x + 5382) - 76061", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2177, \"c\": 23, \"d\": 5382, \"f\": -76061, \"x\": 169}", "seed": "1864249848851706225", "semantic_fingerprint": "sha256:f01ca426cd63be552818e9087dd71c5c04d92a08ac4251b81cbd8f9c613a7aa9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005859", "prompt": "What value of x satisfies -22(x + 9546) = 17(x + 74313)?", "solution_steps": ["Expand: -22x - 210012 = 17(x + 74313)", "Expand: -22x - 210012 = 17x + 1263321", "Subtract 17x from both sides: -39x - 210012 = 1263321", "Add 210012 to both sides: -39x = 1473333", "Divide both sides by -39: x = -491111/13"], "final_answer": "-491111/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x + 9546) = 17(x + 74313)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 9546, \"c\": 17, \"d\": 74313}", "seed": "3935782325570260041", "semantic_fingerprint": "sha256:670d1ccfa15ad87114f12f9a1046cb6552ee9237c952b89f4b4c5728e3f4b6e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005860", "prompt": "Calculate: -2553 - 7909 + (-1678)", "solution_steps": ["Subtract: -2553 - 7909 = -10462", "Add: -10462 + (-1678) = -12140"], "final_answer": "-12140", "answer_type": "integer", "kind": "expression", "math_text": "-2553 - 7909 + (-1678)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2553, \"b\": 7909, \"c\": -1678}", "seed": "5524467229155571379", "semantic_fingerprint": "sha256:6a84c592ee592c5be209fd08108fe659da324921508358e3ef3d288e0daf8237", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005861", "prompt": "Solve the equation 28(x + 73076) = 30x for x.", "solution_steps": ["Expand: 28x + 2046128 = 30x", "Subtract 30x from both sides: -2x + 2046128 = 0", "Subtract 2046128 from both sides: -2x = -2046128", "Divide both sides by -2: x = 1023064"], "final_answer": "1023064", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 73076) = 30x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 73076, \"c\": 30}", "seed": "12042249001098684352", "semantic_fingerprint": "sha256:6717a37f6ecafe9767cc0bd4b73e8ee2a302a5b080e6004bc3445f50de32ff7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005862", "prompt": "Evaluate: 7960 + 46929", "solution_steps": ["Add: 7960 + 46929 = 54889"], "final_answer": "54889", "answer_type": "integer", "kind": "expression", "math_text": "7960 + 46929", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7960, \"b\": 46929}", "seed": "3418820333407714386", "semantic_fingerprint": "sha256:b9ab76ac42efed365b190a38f3705eb635c3750edd9c9f102489de8790b77728", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005863", "prompt": "Solve for x: 31(x - 3083) = -26(x + 7549)", "solution_steps": ["Expand: 31x - 95573 = -26(x + 7549)", "Expand: 31x - 95573 = -26x - 196274", "Add 26x to both sides: 57x - 95573 = -196274", "Add 95573 to both sides: 57x = -100701", "Divide both sides by 57: x = -33567/19"], "final_answer": "-33567/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 3083) = -26(x + 7549)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3083, \"c\": -26, \"d\": 7549}", "seed": "5480434046389409253", "semantic_fingerprint": "sha256:d51b3bc25f0b41ae562f4b575bf81ad0e16fafdf284e2e0f68c13bef79fc14e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005864", "prompt": "Evaluate: -7374 * (12004 - 34456)", "solution_steps": ["Subtract: 12004 - 34456 = -22452", "Multiply: -7374 * (-22452) = 165561048"], "final_answer": "165561048", "answer_type": "integer", "kind": "expression", "math_text": "-7374 * (12004 - 34456)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7374, \"b\": 12004, \"c\": 34456}", "seed": "6329267360799727241", "semantic_fingerprint": "sha256:e09c05eab66aef4cd3e9927f5f070b4ae3aa77a19ad58d653c546217ad5c91cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005865", "prompt": "What value of x satisfies -36(x + 5442) = 34(x + 2756)?", "solution_steps": ["Expand: -36x - 195912 = 34(x + 2756)", "Expand: -36x - 195912 = 34x + 93704", "Subtract 34x from both sides: -70x - 195912 = 93704", "Add 195912 to both sides: -70x = 289616", "Divide both sides by -70: x = -144808/35"], "final_answer": "-144808/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 5442) = 34(x + 2756)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 5442, \"c\": 34, \"d\": 2756}", "seed": "13898349414009453174", "semantic_fingerprint": "sha256:b3779ec9e24a01d08769a0ccf5e1e83edc280b813cfacb1d43ab85dfeb8bc2c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005866", "prompt": "Solve the equation x = 29(x - 9218) for x.", "solution_steps": ["Expand: x = 29x - 267322", "Subtract 29x from both sides: -28x = -267322", "Divide both sides by -28: x = 133661/14"], "final_answer": "133661/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 29(x - 9218)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 9218}", "seed": "12011427766093227438", "semantic_fingerprint": "sha256:1df39e34169e2e36d812ecd41d95d6ddefa550246a06598069b79e213bcdb7a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005867", "prompt": "What value of x satisfies 24(x + 55279) = x - 1532?", "solution_steps": ["Expand: 24x + 1326696 = x - 1532", "Subtract x from both sides: 23x + 1326696 = -1532", "Subtract 1326696 from both sides: 23x = -1328228", "Divide both sides by 23: x = -1328228/23"], "final_answer": "-1328228/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 55279) = x - 1532", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 55279, \"c\": 1532}", "seed": "17322898961499936532", "semantic_fingerprint": "sha256:82c30235f07857253b1e6391007c26d4ddf167311704d7b39bca53b579894334", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005868", "prompt": "Evaluate: 7327 + 98899 - (-4802) * 7038", "solution_steps": ["Add: 7327 + 98899 = 106226", "Multiply: -4802 * 7038 = -33796476", "Subtract: 106226 - (-33796476) = 33902702"], "final_answer": "33902702", "answer_type": "integer", "kind": "expression", "math_text": "7327 + 98899 - (-4802) * 7038", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7327, \"b\": 98899, \"c\": -4802, \"d\": 7038}", "seed": "2944547407437988589", "semantic_fingerprint": "sha256:ad6bcb0c025ca7b703e7348a954e5a64f308db1954470ee4acf5e50fde6ed573", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005869", "prompt": "What is 6027 / (-90603 - (2829 + (-6981 + (-97346))))?", "solution_steps": ["Add: -6981 + (-97346) = -104327", "Add: 2829 + (-104327) = -101498", "Subtract: -90603 - (-101498) = 10895", "Divide: 6027 / 10895 = 6027/10895"], "final_answer": "6027/10895", "answer_type": "rational", "kind": "expression", "math_text": "6027 / (-90603 - (2829 + (-6981 + (-97346))))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6027, \"b\": -90603, \"c\": 2829, \"d\": -6981, \"e\": -97346}", "seed": "6605732720712749037", "semantic_fingerprint": "sha256:030c35dc3102da6118f6c2c75ff6125c6efed9ff2bc78418698e7d62eaa50963", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005870", "prompt": "Solve the equation 21x + 80933 = x for x.", "solution_steps": ["Subtract x from both sides: 20x + 80933 = 0", "Subtract 80933 from both sides: 20x = -80933", "Divide both sides by 20: x = -80933/20"], "final_answer": "-80933/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 80933 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 80933}", "seed": "1363017409783048266", "semantic_fingerprint": "sha256:a18b2f2bd31e95a6cd51cb181630a4a9b20ce828a2114d2016e24bb8fad3abf8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005871", "prompt": "Compute: (-39192 - (-6037 * (-5474) - 7990 * (-2622))) / 99910", "solution_steps": ["Multiply: -6037 * (-5474) = 33046538", "Multiply: 7990 * (-2622) = -20949780", "Subtract: 33046538 - (-20949780) = 53996318", "Subtract: -39192 - 53996318 = -54035510", "Divide: -54035510 / 99910 = -5403551/9991"], "final_answer": "-5403551/9991", "answer_type": "rational", "kind": "expression", "math_text": "(-39192 - (-6037 * (-5474) - 7990 * (-2622))) / 99910", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- (* n n) (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39192, \"b\": -6037, \"c\": -5474, \"d\": 7990, \"e\": -2622, \"f\": 99910}", "seed": "7801919370487617846", "semantic_fingerprint": "sha256:d0dbe66ccb192805fd7f2096ad261a9c0056ed3d1b83ba2a49be355423aa86c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005872", "prompt": "Solve the equation x = 22x + 3255 for x.", "solution_steps": ["Subtract 22x from both sides: -21x = 3255", "Divide both sides by -21: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 22x + 3255", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 3255, \"x\": -155}", "seed": "5897908071806437417", "semantic_fingerprint": "sha256:6fe02fff08a622f9d06b305b41ea69197c8eb3ad708f4e607bc881b4ec4a1a84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005873", "prompt": "Compute: 2804 - (-6192 - (-67519) * (-95450)) - (-80827)", "solution_steps": ["Multiply: -67519 * (-95450) = 6444688550", "Subtract: -6192 - 6444688550 = -6444694742", "Subtract: 2804 - (-6444694742) = 6444697546", "Subtract: 6444697546 - (-80827) = 6444778373"], "final_answer": "6444778373", "answer_type": "integer", "kind": "expression", "math_text": "2804 - (-6192 - (-67519) * (-95450)) - (-80827)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2804, \"b\": -6192, \"c\": -67519, \"d\": -95450, \"e\": -80827}", "seed": "4825041909809514232", "semantic_fingerprint": "sha256:cac4a63556db82b8849713cd735a06dfcc2b285ef9c83792414a14da2f7e9934", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005874", "prompt": "What is (6945 - (-8762)) * (8974 + 95971)?", "solution_steps": ["Subtract: 6945 - (-8762) = 15707", "Add: 8974 + 95971 = 104945", "Multiply: 15707 * 104945 = 1648371115"], "final_answer": "1648371115", "answer_type": "integer", "kind": "expression", "math_text": "(6945 - (-8762)) * (8974 + 95971)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6945, \"b\": -8762, \"c\": 8974, \"d\": 95971}", "seed": "251674802235296283", "semantic_fingerprint": "sha256:d4b9721a81bc4e519e15648a46e46a986cfb04ecb664fa30ebb95e837bc0c410", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005875", "prompt": "Calculate: 9499 + (-71087) + (-8624 + (-13532) / 39339)", "solution_steps": ["Add: 9499 + (-71087) = -61588", "Divide: -13532 / 39339 = -13532/39339", "Add: -8624 + (-13532/39339) = -339273068/39339", "Add: -61588 + (-339273068/39339) = -2762083400/39339"], "final_answer": "-2762083400/39339", "answer_type": "rational", "kind": "expression", "math_text": "9499 + (-71087) + (-8624 + (-13532) / 39339)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9499, \"b\": -71087, \"c\": -8624, \"d\": -13532, \"e\": 39339}", "seed": "8889627314678729176", "semantic_fingerprint": "sha256:a7b948da97bb77658b3692ee9fbac9437c2b4ac78ed5582a8e3e88d25515bebd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005876", "prompt": "Compute: 1751 + (-65698 - (-90682))", "solution_steps": ["Subtract: -65698 - (-90682) = 24984", "Add: 1751 + 24984 = 26735"], "final_answer": "26735", "answer_type": "integer", "kind": "expression", "math_text": "1751 + (-65698 - (-90682))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1751, \"b\": -65698, \"c\": -90682}", "seed": "4444165841698598256", "semantic_fingerprint": "sha256:ec85cdd7b2283617fe022bd22cdd850c53e8eeaf0c8bbd56b88ba4dfe37d7f9c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005877", "prompt": "Solve the equation 19(x + 2092) = 39(x + 26415) for x.", "solution_steps": ["Expand: 19x + 39748 = 39(x + 26415)", "Expand: 19x + 39748 = 39x + 1030185", "Subtract 39x from both sides: -20x + 39748 = 1030185", "Subtract 39748 from both sides: -20x = 990437", "Divide both sides by -20: x = -990437/20"], "final_answer": "-990437/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 2092) = 39(x + 26415)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2092, \"c\": 39, \"d\": 26415}", "seed": "18372975857797183640", "semantic_fingerprint": "sha256:3b823581dd1d83039cd5a5ebfb74f086057415c75fd6a42e4d42e97ec4ac4e6e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005878", "prompt": "Calculate: 21216 / (-7669) - (-5402)", "solution_steps": ["Divide: 21216 / (-7669) = -21216/7669", "Subtract: -21216/7669 - (-5402) = 41406722/7669"], "final_answer": "41406722/7669", "answer_type": "rational", "kind": "expression", "math_text": "21216 / (-7669) - (-5402)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21216, \"b\": -7669, \"c\": -5402}", "seed": "14969110593161136655", "semantic_fingerprint": "sha256:c31e36fc7565709fd1e33450b07779f1ad3f6860479717f39ed71cc38413cfba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005879", "prompt": "What value of x satisfies -32(x - 8023) = 37(x + 3579) + 93674?", "solution_steps": ["Expand: -32x + 256736 = 37(x + 3579) + 93674", "Expand: -32x + 256736 = 37x + 132423 + 93674", "Combine constants: -32x + 256736 = 37x + 226097", "Subtract 37x from both sides: -69x + 256736 = 226097", "Subtract 256736 from both sides: -69x = -30639", "Divide both sides by -69: x = 10213/23"], "final_answer": "10213/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 8023) = 37(x + 3579) + 93674", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 8023, \"c\": 37, \"d\": 3579, \"e\": 93674}", "seed": "3372589953300278112", "semantic_fingerprint": "sha256:b7ab284558eb65b800ac0e5ec4e4bc6591576a2a6985a794e6bbb08b3d82a9e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005880", "prompt": "Find x: 27(x - 1916) + 3165 = 29(x + 9944) + 2526", "solution_steps": ["Expand: 27x - 51732 + 3165 = 29(x + 9944) + 2526", "Expand: 27x - 51732 + 3165 = 29x + 288376 + 2526", "Combine constants: 27x - 48567 = 29x + 288376 + 2526", "Combine constants: 27x - 48567 = 29x + 290902", "Subtract 29x from both sides: -2x - 48567 = 290902", "Add 48567 to both sides: -2x = 339469", "Divide both sides by -2: x = -339469/2"], "final_answer": "-339469/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 1916) + 3165 = 29(x + 9944) + 2526", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1916, \"c\": 3165, \"d\": 29, \"e\": 9944, \"f\": 2526}", "seed": "11097210918424366323", "semantic_fingerprint": "sha256:e5bd2bf48ddb3e8b5a0de594cdde298cf56e6d5e9352802ef174144260938f6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005881", "prompt": "Calculate: -6193 - 4293", "solution_steps": ["Subtract: -6193 - 4293 = -10486"], "final_answer": "-10486", "answer_type": "integer", "kind": "expression", "math_text": "-6193 - 4293", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6193, \"b\": 4293}", "seed": "888017180978904352", "semantic_fingerprint": "sha256:6852a02216a2cc2a1bcfa8d912a9584cab660a67da57979e1e6903279e01160d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005882", "prompt": "Compute: 4016 + 21175", "solution_steps": ["Add: 4016 + 21175 = 25191"], "final_answer": "25191", "answer_type": "integer", "kind": "expression", "math_text": "4016 + 21175", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4016, \"b\": 21175}", "seed": "6055113578627475967", "semantic_fingerprint": "sha256:c6fbc68af97afe5be070c511376a0b2913c6a427405e9b95d10d37c58ed0d6cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005883", "prompt": "Calculate: -3742 - (-97180)", "solution_steps": ["Subtract: -3742 - (-97180) = 93438"], "final_answer": "93438", "answer_type": "integer", "kind": "expression", "math_text": "-3742 - (-97180)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3742, \"b\": -97180}", "seed": "7518147336029761796", "semantic_fingerprint": "sha256:05a3e2e0f6374079690aadeca8c97c5b581be5b4f31bc37fb8818eace162dfa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005884", "prompt": "Evaluate: 1154 + (-2651 + 1003) + 37711", "solution_steps": ["Add: -2651 + 1003 = -1648", "Add: 1154 + (-1648) = -494", "Add: -494 + 37711 = 37217"], "final_answer": "37217", "answer_type": "integer", "kind": "expression", "math_text": "1154 + (-2651 + 1003) + 37711", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1154, \"b\": -2651, \"c\": 1003, \"d\": 37711}", "seed": "11277642543941612518", "semantic_fingerprint": "sha256:3a91a05c4a85fc8a6f23ae3d421badd7e2eeb0b67c7484883cc92a1a2a11a3ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005885", "prompt": "Compute: -15031 * (-2147)", "solution_steps": ["Multiply: -15031 * (-2147) = 32271557"], "final_answer": "32271557", "answer_type": "integer", "kind": "expression", "math_text": "-15031 * (-2147)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -15031, \"b\": -2147}", "seed": "6674260821505620902", "semantic_fingerprint": "sha256:f2a3b24b28765663a7d9f1797de36e6199426027701ff3815d71a18ccde4e00d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005886", "prompt": "What is 7116 - 1877 * (-8579)?", "solution_steps": ["Multiply: 1877 * (-8579) = -16102783", "Subtract: 7116 - (-16102783) = 16109899"], "final_answer": "16109899", "answer_type": "integer", "kind": "expression", "math_text": "7116 - 1877 * (-8579)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7116, \"b\": 1877, \"c\": -8579}", "seed": "17313870175815951813", "semantic_fingerprint": "sha256:56279d972700e14e4dd1de382bd3925c79aef31470de7b33e1df948025157d02", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005887", "prompt": "Evaluate: 18658 - 84145", "solution_steps": ["Subtract: 18658 - 84145 = -65487"], "final_answer": "-65487", "answer_type": "integer", "kind": "expression", "math_text": "18658 - 84145", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 18658, \"b\": 84145}", "seed": "7092917679494308171", "semantic_fingerprint": "sha256:75d5b3549c42bf9ba2fcb79d217011d34cf65988fa27a5043fe119b0070c4fd7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005888", "prompt": "Solve for x: -17x = -21083", "solution_steps": ["Divide both sides by -17: x = 21083/17"], "final_answer": "21083/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x = -21083", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": -21083}", "seed": "15012016913933858790", "semantic_fingerprint": "sha256:f84b4e323f608c5003d5397e7169f8782ec2610d472650691994585de5582f13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005889", "prompt": "Solve for x: x - 4973 = 21(x + 7620) - 6051", "solution_steps": ["Expand: x - 4973 = 21x + 160020 - 6051", "Combine constants: x - 4973 = 21x + 153969", "Subtract 21x from both sides: -20x - 4973 = 153969", "Add 4973 to both sides: -20x = 158942", "Divide both sides by -20: x = -79471/10"], "final_answer": "-79471/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4973 = 21(x + 7620) - 6051", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4973, \"b\": 21, \"c\": 7620, \"d\": 6051}", "seed": "11085285482650878202", "semantic_fingerprint": "sha256:d51667b69a1f80f25db9e7de6ac53632f6b648a786c9f6bc406cac306f2a2c23", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005890", "prompt": "Evaluate: 51337 - 9372 - (-2213) / 27673", "solution_steps": ["Subtract: 51337 - 9372 = 41965", "Divide: -2213 / 27673 = -2213/27673", "Subtract: 41965 - (-2213/27673) = 1161299658/27673"], "final_answer": "1161299658/27673", "answer_type": "rational", "kind": "expression", "math_text": "51337 - 9372 - (-2213) / 27673", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 51337, \"b\": 9372, \"c\": -2213, \"d\": 27673}", "seed": "5499726286631687408", "semantic_fingerprint": "sha256:38ffe65e276a736a029bed0523e7f1d4da18b04e78320171fa4358b084499cd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005891", "prompt": "Compute: -1471 * (7179 * 6906)", "solution_steps": ["Multiply: 7179 * 6906 = 49578174", "Multiply: -1471 * 49578174 = -72929493954"], "final_answer": "-72929493954", "answer_type": "integer", "kind": "expression", "math_text": "-1471 * (7179 * 6906)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1471, \"b\": 7179, \"c\": 6906}", "seed": "6794275142300799420", "semantic_fingerprint": "sha256:7fb39fad7b505a3fb5bf5e09f4460b67122c4a87a4e389d9b22b2efd26bc9381", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005892", "prompt": "What is 11833 * (-4413)?", "solution_steps": ["Multiply: 11833 * (-4413) = -52219029"], "final_answer": "-52219029", "answer_type": "integer", "kind": "expression", "math_text": "11833 * (-4413)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 11833, \"b\": -4413}", "seed": "16476449141783320930", "semantic_fingerprint": "sha256:aa8e23ccf4696f889a3706e1bceca8ab211fa13ed6778b3efc111fa5e980319c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005893", "prompt": "Evaluate: -2057 * (5523 / (-47529)) * (-8114)", "solution_steps": ["Divide: 5523 / (-47529) = -1841/15843", "Multiply: -2057 * (-1841/15843) = 3786937/15843", "Multiply: (3786937/15843) * (-8114) = -30727206818/15843"], "final_answer": "-30727206818/15843", "answer_type": "rational", "kind": "expression", "math_text": "-2057 * (5523 / (-47529)) * (-8114)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2057, \"b\": 5523, \"c\": -47529, \"d\": -8114}", "seed": "5969678233435722384", "semantic_fingerprint": "sha256:eb4dcb3b02e09ce218e5c5d666ba7d3fc522c6f7d2f3addd0acdf3030540f378", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005894", "prompt": "Compute: 2775 * (22687 - 2172) + 9442 / (-3322)", "solution_steps": ["Subtract: 22687 - 2172 = 20515", "Multiply: 2775 * 20515 = 56929125", "Divide: 9442 / (-3322) = -4721/1661", "Add: 56929125 + (-4721/1661) = 94559271904/1661"], "final_answer": "94559271904/1661", "answer_type": "rational", "kind": "expression", "math_text": "2775 * (22687 - 2172) + 9442 / (-3322)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2775, \"b\": 22687, \"c\": 2172, \"d\": 9442, \"e\": -3322}", "seed": "2699495374270569511", "semantic_fingerprint": "sha256:fd59e34e4e0f8ac527928751cfe3f256396489997f82529ce4b59efbf991ae61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005895", "prompt": "Compute: -3317 + (-1143) / (-6741) * 60330", "solution_steps": ["Divide: -1143 / (-6741) = 127/749", "Multiply: (127/749) * 60330 = 7661910/749", "Add: -3317 + 7661910/749 = 5177477/749"], "final_answer": "5177477/749", "answer_type": "rational", "kind": "expression", "math_text": "-3317 + (-1143) / (-6741) * 60330", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3317, \"b\": -1143, \"c\": -6741, \"d\": 60330}", "seed": "7682115278021937754", "semantic_fingerprint": "sha256:4976893494238372eee720f26d00ba34c1e579c862300bb1dacbb1d9aac59432", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005896", "prompt": "What value of x satisfies 25(x - 36734) - 5402 = x - 2795?", "solution_steps": ["Expand: 25x - 918350 - 5402 = x - 2795", "Combine constants: 25x - 923752 = x - 2795", "Subtract x from both sides: 24x - 923752 = -2795", "Add 923752 to both sides: 24x = 920957", "Divide both sides by 24: x = 920957/24"], "final_answer": "920957/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 36734) - 5402 = x - 2795", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 36734, \"c\": 5402, \"d\": 2795}", "seed": "4473568153994896974", "semantic_fingerprint": "sha256:aeb0297953aa1d2048b295a007a73ae71c0b7462d8d7e73cbf1c64510094446c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005897", "prompt": "Compute: -26046 * (-55544 / 44712)", "solution_steps": ["Divide: -55544 / 44712 = -6943/5589", "Multiply: -26046 * (-6943/5589) = 20093042/621"], "final_answer": "20093042/621", "answer_type": "rational", "kind": "expression", "math_text": "-26046 * (-55544 / 44712)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26046, \"b\": -55544, \"c\": 44712}", "seed": "7361649410251678116", "semantic_fingerprint": "sha256:3e1f826892ec00f64487e5780dc9eeef56a7fccb8d57b642530e98a355bf4474", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005898", "prompt": "Evaluate: 5169 / (-2727) + 8021", "solution_steps": ["Divide: 5169 / (-2727) = -1723/909", "Add: -1723/909 + 8021 = 7289366/909"], "final_answer": "7289366/909", "answer_type": "rational", "kind": "expression", "math_text": "5169 / (-2727) + 8021", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5169, \"b\": -2727, \"c\": 8021}", "seed": "8848942841407178278", "semantic_fingerprint": "sha256:7f5b768a217161ce457fffea16797d6a417c64ddb01a72b7a2707e3390156b3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005899", "prompt": "Compute: 7035 * (-18408) / (-73599)", "solution_steps": ["Multiply: 7035 * (-18408) = -129500280", "Divide: -129500280 / (-73599) = 43166760/24533"], "final_answer": "43166760/24533", "answer_type": "rational", "kind": "expression", "math_text": "7035 * (-18408) / (-73599)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7035, \"b\": -18408, \"c\": -73599}", "seed": "9977495546667925452", "semantic_fingerprint": "sha256:ff28331c38bffbb0f36455ba0b1bf3aaa0402827f56226cf89188b50facd4fad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005900", "prompt": "Calculate: -5628 * 40027", "solution_steps": ["Multiply: -5628 * 40027 = -225271956"], "final_answer": "-225271956", "answer_type": "integer", "kind": "expression", "math_text": "-5628 * 40027", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5628, \"b\": 40027}", "seed": "2374959584883790073", "semantic_fingerprint": "sha256:3257bfc8de59467fb01c3de50f268624a9ea25287885614e6d8e13776674da54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005901", "prompt": "Evaluate: -75041 + (1102 + (-19184))", "solution_steps": ["Add: 1102 + (-19184) = -18082", "Add: -75041 + (-18082) = -93123"], "final_answer": "-93123", "answer_type": "integer", "kind": "expression", "math_text": "-75041 + (1102 + (-19184))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75041, \"b\": 1102, \"c\": -19184}", "seed": "18070017557990321212", "semantic_fingerprint": "sha256:1ca3ec89460edb546ede5a9c35a8222d6b847b0959e4fc22c83f6ca265d69368", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005902", "prompt": "What is 2764 * (34515 / (-93846))?", "solution_steps": ["Divide: 34515 / (-93846) = -11505/31282", "Multiply: 2764 * (-11505/31282) = -15899910/15641"], "final_answer": "-15899910/15641", "answer_type": "rational", "kind": "expression", "math_text": "2764 * (34515 / (-93846))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2764, \"b\": 34515, \"c\": -93846}", "seed": "6077629110102359545", "semantic_fingerprint": "sha256:77280db9fe66ca3b51fc9c7e367fb0a6e431adaba75a97779141150ee9683ff9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005903", "prompt": "Compute: 72046 + (-3711 - 8278)", "solution_steps": ["Subtract: -3711 - 8278 = -11989", "Add: 72046 + (-11989) = 60057"], "final_answer": "60057", "answer_type": "integer", "kind": "expression", "math_text": "72046 + (-3711 - 8278)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72046, \"b\": -3711, \"c\": 8278}", "seed": "16824283289246873930", "semantic_fingerprint": "sha256:ee754cd8ae231f90d7f49d4a4c8c4d226c1d53274a2287f5bbd47095ce9ed88a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005904", "prompt": "Calculate: 1338 - 6786 + 9315 - 1974", "solution_steps": ["Subtract: 1338 - 6786 = -5448", "Add: -5448 + 9315 = 3867", "Subtract: 3867 - 1974 = 1893"], "final_answer": "1893", "answer_type": "integer", "kind": "expression", "math_text": "1338 - 6786 + 9315 - 1974", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1338, \"b\": 6786, \"c\": 9315, \"d\": 1974}", "seed": "5637391800916261776", "semantic_fingerprint": "sha256:a511c452a4c3d633bc674164451ff42a64905be0ece564f747fb1f2ff7ed884c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005905", "prompt": "Calculate: -4315 * (61511 + (-2785 + (-3186)))", "solution_steps": ["Add: -2785 + (-3186) = -5971", "Add: 61511 + (-5971) = 55540", "Multiply: -4315 * 55540 = -239655100"], "final_answer": "-239655100", "answer_type": "integer", "kind": "expression", "math_text": "-4315 * (61511 + (-2785 + (-3186)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4315, \"b\": 61511, \"c\": -2785, \"d\": -3186}", "seed": "15319266355942419866", "semantic_fingerprint": "sha256:9f059c9ce1512e73143aca7ba11e754edbde177eb5532f7a7d4ed569c01239e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005906", "prompt": "Calculate: -3460 + (-97417) - 38085", "solution_steps": ["Add: -3460 + (-97417) = -100877", "Subtract: -100877 - 38085 = -138962"], "final_answer": "-138962", "answer_type": "integer", "kind": "expression", "math_text": "-3460 + (-97417) - 38085", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3460, \"b\": -97417, \"c\": 38085}", "seed": "962401724703757568", "semantic_fingerprint": "sha256:6031a06c64eb33b004635f8f25329b99669da99dadde11c33e0e1994a6171ca0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005907", "prompt": "Calculate: 93676 + (-3996)", "solution_steps": ["Add: 93676 + (-3996) = 89680"], "final_answer": "89680", "answer_type": "integer", "kind": "expression", "math_text": "93676 + (-3996)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 93676, \"b\": -3996}", "seed": "12162357383274787946", "semantic_fingerprint": "sha256:aa7bfc6188660222b7eaa9eb042616f7c12e62c24e7b5c10b72334cca623bf7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005908", "prompt": "Calculate: -2489 / (-43244) - (-4456)", "solution_steps": ["Divide: -2489 / (-43244) = 131/2276", "Subtract: 131/2276 - (-4456) = 10141987/2276"], "final_answer": "10141987/2276", "answer_type": "rational", "kind": "expression", "math_text": "-2489 / (-43244) - (-4456)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2489, \"b\": -43244, \"c\": -4456}", "seed": "12083818316986976233", "semantic_fingerprint": "sha256:b56f4df9a01c6a1b714569b3c2793c633bde0ba45caf844fed9d35617dcdaec8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005909", "prompt": "Find x: 16(x + 8554) + 8970 = 34(x - 47842) + 52089", "solution_steps": ["Expand: 16x + 136864 + 8970 = 34(x - 47842) + 52089", "Expand: 16x + 136864 + 8970 = 34x - 1626628 + 52089", "Combine constants: 16x + 145834 = 34x - 1626628 + 52089", "Combine constants: 16x + 145834 = 34x - 1574539", "Subtract 34x from both sides: -18x + 145834 = -1574539", "Subtract 145834 from both sides: -18x = -1720373", "Divide both sides by -18: x = 1720373/18"], "final_answer": "1720373/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 8554) + 8970 = 34(x - 47842) + 52089", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 8554, \"c\": 8970, \"d\": 34, \"e\": 47842, \"f\": 52089}", "seed": "8931375248645143136", "semantic_fingerprint": "sha256:85a78ecb8ccf8a762e6630f3d724de292668da0a41aeebdb5f811f86f0966ad2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005910", "prompt": "Find x: x = 28(x + 1805) - 7801", "solution_steps": ["Expand: x = 28x + 50540 - 7801", "Combine constants: x = 28x + 42739", "Subtract 28x from both sides: -27x = 42739", "Divide both sides by -27: x = -42739/27"], "final_answer": "-42739/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x + 1805) - 7801", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1805, \"c\": 7801}", "seed": "6243324174128271797", "semantic_fingerprint": "sha256:ed4293193da304659c12707cd82dd388fe7500cdd453bcbed3ab6fdd2a80676b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005911", "prompt": "Solve for x: -27x + 87864 = 28(x + 3468)", "solution_steps": ["Expand: -27x + 87864 = 28x + 97104", "Subtract 28x from both sides: -55x + 87864 = 97104", "Subtract 87864 from both sides: -55x = 9240", "Divide both sides by -55: x = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27x + 87864 = 28(x + 3468)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 28, \"c\": 3468, \"e\": 87864, \"x\": -168}", "seed": "14305563829693037960", "semantic_fingerprint": "sha256:9952a111a44b87cf8541e7064533d51e607776d61bb26427ab535115aaa3431e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005912", "prompt": "Solve the equation -34x - 6386 = 25(x - 31531) + 53234 for x.", "solution_steps": ["Expand: -34x - 6386 = 25x - 788275 + 53234", "Combine constants: -34x - 6386 = 25x - 735041", "Subtract 25x from both sides: -59x - 6386 = -735041", "Add 6386 to both sides: -59x = -728655", "Divide both sides by -59: x = 728655/59"], "final_answer": "728655/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34x - 6386 = 25(x - 31531) + 53234", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 6386, \"c\": 25, \"d\": 31531, \"e\": 53234}", "seed": "16154923426833781671", "semantic_fingerprint": "sha256:1825457a47e84837ae6f889a293bf04c2f4287af2d2088a6a543f325bc14046d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005913", "prompt": "Evaluate: 2834 - (-24374 + (-1321))", "solution_steps": ["Add: -24374 + (-1321) = -25695", "Subtract: 2834 - (-25695) = 28529"], "final_answer": "28529", "answer_type": "integer", "kind": "expression", "math_text": "2834 - (-24374 + (-1321))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2834, \"b\": -24374, \"c\": -1321}", "seed": "7029628932248775843", "semantic_fingerprint": "sha256:bcb26bc2b1538e1a982149d1277cd6fe7d1c8eb8873146b73c0805c3d7c58ec7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005914", "prompt": "What is -83668 + (-6583 / (-8401) + (-6896))?", "solution_steps": ["Divide: -6583 / (-8401) = 6583/8401", "Add: 6583/8401 + (-6896) = -57926713/8401", "Add: -83668 + (-57926713/8401) = -760821581/8401"], "final_answer": "-760821581/8401", "answer_type": "rational", "kind": "expression", "math_text": "-83668 + (-6583 / (-8401) + (-6896))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -83668, \"b\": -6583, \"c\": -8401, \"d\": -6896}", "seed": "2001960471333055565", "semantic_fingerprint": "sha256:7fee50912202a2c8d2a3cfeb0012087574f49120cc5b262d75b996d6f43c1c77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005915", "prompt": "What is -4443 / 9425 - (-39741) - (9900 + 55413)?", "solution_steps": ["Divide: -4443 / 9425 = -4443/9425", "Subtract: -4443/9425 - (-39741) = 374554482/9425", "Add: 9900 + 55413 = 65313", "Subtract: 374554482/9425 - 65313 = -241020543/9425"], "final_answer": "-241020543/9425", "answer_type": "rational", "kind": "expression", "math_text": "-4443 / 9425 - (-39741) - (9900 + 55413)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4443, \"b\": 9425, \"c\": -39741, \"d\": 9900, \"e\": 55413}", "seed": "13023008814607966629", "semantic_fingerprint": "sha256:c838c882246d136ca7a28654fd2c3ac56bbbbe5069a7414801cf45c853e1d108", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005916", "prompt": "Calculate: 4354 * (-5930)", "solution_steps": ["Multiply: 4354 * (-5930) = -25819220"], "final_answer": "-25819220", "answer_type": "integer", "kind": "expression", "math_text": "4354 * (-5930)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4354, \"b\": -5930}", "seed": "7864028100007406509", "semantic_fingerprint": "sha256:d77ef520e798163460ac8d709a6299785c93ccc9e300f8ecd0b4ee35123f9663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005917", "prompt": "Calculate: (61825 + (-78014)) * (-8809)", "solution_steps": ["Add: 61825 + (-78014) = -16189", "Multiply: -16189 * (-8809) = 142608901"], "final_answer": "142608901", "answer_type": "integer", "kind": "expression", "math_text": "(61825 + (-78014)) * (-8809)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61825, \"b\": -78014, \"c\": -8809}", "seed": "2370333221991848021", "semantic_fingerprint": "sha256:fec57e47ef27c0f96941f46f82fe6e5be5cc6978b50b7c4980b9297c41927010", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005918", "prompt": "Solve the equation x + 40178 = -32(x - 55327) for x.", "solution_steps": ["Expand: x + 40178 = -32x + 1770464", "Add 32x to both sides: 33x + 40178 = 1770464", "Subtract 40178 from both sides: 33x = 1730286", "Divide both sides by 33: x = 576762/11"], "final_answer": "576762/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 40178 = -32(x - 55327)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40178, \"b\": -32, \"c\": 55327}", "seed": "14819253596456299651", "semantic_fingerprint": "sha256:aead3b2ec3cef9d10ff387d4c4a5af9240db55b0a5e9f327ff8f40522b510569", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005919", "prompt": "Calculate: -52764 + 86019", "solution_steps": ["Add: -52764 + 86019 = 33255"], "final_answer": "33255", "answer_type": "integer", "kind": "expression", "math_text": "-52764 + 86019", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -52764, \"b\": 86019}", "seed": "16935009183947083808", "semantic_fingerprint": "sha256:6e0a9ee7df07ae7aa0d3d445fbc2922d97e5b50824bf21b15b11763eeaf1140d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005920", "prompt": "Calculate: 23588 - 1377", "solution_steps": ["Subtract: 23588 - 1377 = 22211"], "final_answer": "22211", "answer_type": "integer", "kind": "expression", "math_text": "23588 - 1377", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 23588, \"b\": 1377}", "seed": "2472898611076308302", "semantic_fingerprint": "sha256:1756aed7b5e9b636cd938056e437ced8dd15eed645b1bc9476cb3f157da30605", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005921", "prompt": "What is (-4504 + (-2914 - 4576)) / (-1477)?", "solution_steps": ["Subtract: -2914 - 4576 = -7490", "Add: -4504 + (-7490) = -11994", "Divide: -11994 / (-1477) = 11994/1477"], "final_answer": "11994/1477", "answer_type": "rational", "kind": "expression", "math_text": "(-4504 + (-2914 - 4576)) / (-1477)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4504, \"b\": -2914, \"c\": 4576, \"d\": -1477}", "seed": "11095196851020817958", "semantic_fingerprint": "sha256:9994a1087daf019c8e0f7d77dc6dc1faa15219ee7ed5272e77da03c87bb1ddd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005922", "prompt": "What is -95122 - 81007 + (-3081) / (-9625) - 4757?", "solution_steps": ["Subtract: -95122 - 81007 = -176129", "Divide: -3081 / (-9625) = 3081/9625", "Add: -176129 + 3081/9625 = -1695238544/9625", "Subtract: -1695238544/9625 - 4757 = -1741024669/9625"], "final_answer": "-1741024669/9625", "answer_type": "rational", "kind": "expression", "math_text": "-95122 - 81007 + (-3081) / (-9625) - 4757", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -95122, \"b\": 81007, \"c\": -3081, \"d\": -9625, \"e\": 4757}", "seed": "1884745148205767803", "semantic_fingerprint": "sha256:a0d64e8878a2488bc35f3d22802c20e070e2c164014da3f60c9bbb32a93519ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005923", "prompt": "What value of x satisfies x + 4757 = 28(x + 4022) - 8271?", "solution_steps": ["Expand: x + 4757 = 28x + 112616 - 8271", "Combine constants: x + 4757 = 28x + 104345", "Subtract 28x from both sides: -27x + 4757 = 104345", "Subtract 4757 from both sides: -27x = 99588", "Divide both sides by -27: x = -33196/9"], "final_answer": "-33196/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4757 = 28(x + 4022) - 8271", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4757, \"b\": 28, \"c\": 4022, \"d\": 8271}", "seed": "14833661547024711754", "semantic_fingerprint": "sha256:086b74451c60ef9ccc5d5b4897fa9ad10244a583b8c42471a6c295ec49416eb9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005924", "prompt": "Compute: -7220 + (-2898 * 3985 + (-64602))", "solution_steps": ["Multiply: -2898 * 3985 = -11548530", "Add: -11548530 + (-64602) = -11613132", "Add: -7220 + (-11613132) = -11620352"], "final_answer": "-11620352", "answer_type": "integer", "kind": "expression", "math_text": "-7220 + (-2898 * 3985 + (-64602))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7220, \"b\": -2898, \"c\": 3985, \"d\": -64602}", "seed": "13222574539853206523", "semantic_fingerprint": "sha256:e566d5e3f4f25c099744b2fdf54292352f249daaf122db8fa0f89b392c1b8f72", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005925", "prompt": "Solve for x: 38(x - 83760) + 2741 = 36(x - 87536) - 8731", "solution_steps": ["Expand: 38x - 3182880 + 2741 = 36(x - 87536) - 8731", "Expand: 38x - 3182880 + 2741 = 36x - 3151296 - 8731", "Combine constants: 38x - 3180139 = 36x - 3151296 - 8731", "Combine constants: 38x - 3180139 = 36x - 3160027", "Subtract 36x from both sides: 2x - 3180139 = -3160027", "Add 3180139 to both sides: 2x = 20112", "Divide both sides by 2: x = 10056"], "final_answer": "10056", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x - 83760) + 2741 = 36(x - 87536) - 8731", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 83760, \"c\": 2741, \"d\": 36, \"e\": 87536, \"f\": 8731}", "seed": "11457385050535249287", "semantic_fingerprint": "sha256:3ec4535a55655bf3e1a7e145541f335fc297a540ce50bc6009178d48dad173ab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005926", "prompt": "What is -1816 - 9180 / (2687 - (-89582))?", "solution_steps": ["Subtract: 2687 - (-89582) = 92269", "Divide: 9180 / 92269 = 9180/92269", "Subtract: -1816 - 9180/92269 = -167569684/92269"], "final_answer": "-167569684/92269", "answer_type": "rational", "kind": "expression", "math_text": "-1816 - 9180 / (2687 - (-89582))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1816, \"b\": 9180, \"c\": 2687, \"d\": -89582}", "seed": "13306476286536066982", "semantic_fingerprint": "sha256:960c0c7f42bddaa1d0a3ca9b2651c1c54c374222b256c79aa93bef0154dd8b8f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005927", "prompt": "Evaluate: -1791 + 1102", "solution_steps": ["Add: -1791 + 1102 = -689"], "final_answer": "-689", "answer_type": "integer", "kind": "expression", "math_text": "-1791 + 1102", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1791, \"b\": 1102}", "seed": "1748545881993012530", "semantic_fingerprint": "sha256:18b24cdc5da717f61fcc93319438a7e834597624db2c4ad176108f24e1d66f58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005928", "prompt": "Compute: (1466 - (-28428)) / 2804", "solution_steps": ["Subtract: 1466 - (-28428) = 29894", "Divide: 29894 / 2804 = 14947/1402"], "final_answer": "14947/1402", "answer_type": "rational", "kind": "expression", "math_text": "(1466 - (-28428)) / 2804", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1466, \"b\": -28428, \"c\": 2804}", "seed": "2573360084059396265", "semantic_fingerprint": "sha256:e39e9ccd9d92f8629c0307675b0958f576e1f7ed227978b502d17f0b057e5361", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005929", "prompt": "Solve the equation 27x + 23526 = 25173 for x.", "solution_steps": ["Subtract 23526 from both sides: 27x = 1647", "Divide both sides by 27: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 23526 = 25173", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 23526, \"d\": 25173, \"x\": 61}", "seed": "9839605184207685660", "semantic_fingerprint": "sha256:9d90f8e5f8dc9a616547fd106769e60474c1be4cad018d0c0e23b3121c6d929d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005930", "prompt": "Solve the equation 17(x - 3809) - 1951 = x - 68288 for x.", "solution_steps": ["Expand: 17x - 64753 - 1951 = x - 68288", "Combine constants: 17x - 66704 = x - 68288", "Subtract x from both sides: 16x - 66704 = -68288", "Add 66704 to both sides: 16x = -1584", "Divide both sides by 16: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 3809) - 1951 = x - 68288", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3809, \"c\": 1951, \"e\": -68288, \"x\": -99}", "seed": "10050816126426658281", "semantic_fingerprint": "sha256:32d3673257c7543e5cf68017477890a034afad99676f42553084664e27488d89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005931", "prompt": "Calculate: 1557 * (-1513) * 18321 / (-59610 - (-54732 - 48187))", "solution_steps": ["Multiply: 1557 * (-1513) = -2355741", "Multiply: -2355741 * 18321 = -43159530861", "Subtract: -54732 - 48187 = -102919", "Subtract: -59610 - (-102919) = 43309", "Divide: -43159530861 / 43309 = -43159530861/43309"], "final_answer": "-43159530861/43309", "answer_type": "rational", "kind": "expression", "math_text": "1557 * (-1513) * 18321 / (-59610 - (-54732 - 48187))", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1557, \"b\": -1513, \"c\": 18321, \"d\": -59610, \"e\": -54732, \"f\": 48187}", "seed": "7892141174050623385", "semantic_fingerprint": "sha256:9f833473b9a3c52bb6ad19b10cdfa8fab8acd7bfdd26bed01dc87a83f25a6abd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005932", "prompt": "Evaluate: (-26903 - (-9868) * (-6673)) / (4492 + (-5248))", "solution_steps": ["Multiply: -9868 * (-6673) = 65849164", "Subtract: -26903 - 65849164 = -65876067", "Add: 4492 + (-5248) = -756", "Divide: -65876067 / (-756) = 7319563/84"], "final_answer": "7319563/84", "answer_type": "rational", "kind": "expression", "math_text": "(-26903 - (-9868) * (-6673)) / (4492 + (-5248))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26903, \"b\": -9868, \"c\": -6673, \"d\": 4492, \"e\": -5248}", "seed": "11334693080292865386", "semantic_fingerprint": "sha256:d5233e6b500a9f14bf6c864c58c565907e54736b36db5c2671d28f96b05cc0cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005933", "prompt": "Evaluate: -24096 * (-72277)", "solution_steps": ["Multiply: -24096 * (-72277) = 1741586592"], "final_answer": "1741586592", "answer_type": "integer", "kind": "expression", "math_text": "-24096 * (-72277)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -24096, \"b\": -72277}", "seed": "17112138256742883510", "semantic_fingerprint": "sha256:641facd710b415cd7d7e0b7222745b4b3af69abb8c5bb4cf4b19da176b363f0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005934", "prompt": "Solve for x: 32(x - 1602) + 2453 = 24x - 49947", "solution_steps": ["Expand: 32x - 51264 + 2453 = 24x - 49947", "Combine constants: 32x - 48811 = 24x - 49947", "Subtract 24x from both sides: 8x - 48811 = -49947", "Add 48811 to both sides: 8x = -1136", "Divide both sides by 8: x = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 1602) + 2453 = 24x - 49947", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1602, \"c\": 2453, \"d\": 24, \"f\": -49947, \"x\": -142}", "seed": "8892880853004432754", "semantic_fingerprint": "sha256:950772e78c40ced33deec36db5b6cd6352200ef318703411d0d314e0c56cb80f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005935", "prompt": "What is 24539 - 2628 * (-35791)?", "solution_steps": ["Multiply: 2628 * (-35791) = -94058748", "Subtract: 24539 - (-94058748) = 94083287"], "final_answer": "94083287", "answer_type": "integer", "kind": "expression", "math_text": "24539 - 2628 * (-35791)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24539, \"b\": 2628, \"c\": -35791}", "seed": "36090806297917102", "semantic_fingerprint": "sha256:1f8037eda626e4ebde3c7d75f93db27e469ee9c61be0ff96ab908cd9263f6571", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005936", "prompt": "What is -70839 + (-15369 - (-4341 + 9361) / (-1795))?", "solution_steps": ["Add: -4341 + 9361 = 5020", "Divide: 5020 / (-1795) = -1004/359", "Subtract: -15369 - (-1004/359) = -5516467/359", "Add: -70839 + (-5516467/359) = -30947668/359"], "final_answer": "-30947668/359", "answer_type": "rational", "kind": "expression", "math_text": "-70839 + (-15369 - (-4341 + 9361) / (-1795))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -70839, \"b\": -15369, \"c\": -4341, \"d\": 9361, \"e\": -1795}", "seed": "9139889646086700022", "semantic_fingerprint": "sha256:5393a46f436f5892e45757fe5635b009739edc0f58c6a17a1d9302b1f3e47a9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005937", "prompt": "Evaluate: 94229 / (4751 + 84772 - (-9971))", "solution_steps": ["Add: 4751 + 84772 = 89523", "Subtract: 89523 - (-9971) = 99494", "Divide: 94229 / 99494 = 94229/99494"], "final_answer": "94229/99494", "answer_type": "rational", "kind": "expression", "math_text": "94229 / (4751 + 84772 - (-9971))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 94229, \"b\": 4751, \"c\": 84772, \"d\": -9971}", "seed": "1586692944148708863", "semantic_fingerprint": "sha256:c917f1134ef0a14495e63523a29d0d510bdcb3ae7f590893c50c7ca9b8c00774", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005938", "prompt": "Solve for x: 17(x - 3615) = x", "solution_steps": ["Expand: 17x - 61455 = x", "Subtract x from both sides: 16x - 61455 = 0", "Add 61455 to both sides: 16x = 61455", "Divide both sides by 16: x = 61455/16"], "final_answer": "61455/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 3615) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3615}", "seed": "1201098301546871195", "semantic_fingerprint": "sha256:ece5bdeb7746cec5fc94bea9e63f7d0f691c1cad67aeb58d14ba5ce2f8f2ba1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005939", "prompt": "Evaluate: -48419 * (7496 / (-3571)) - (-4066 + 57435)", "solution_steps": ["Divide: 7496 / (-3571) = -7496/3571", "Multiply: -48419 * (-7496/3571) = 362948824/3571", "Add: -4066 + 57435 = 53369", "Subtract: 362948824/3571 - 53369 = 172368125/3571"], "final_answer": "172368125/3571", "answer_type": "rational", "kind": "expression", "math_text": "-48419 * (7496 / (-3571)) - (-4066 + 57435)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -48419, \"b\": 7496, \"c\": -3571, \"d\": -4066, \"e\": 57435}", "seed": "8699454867678719402", "semantic_fingerprint": "sha256:cc15dd15c084943871772d0587f12cde806dfd104d904253da856dd9474eeb04", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005940", "prompt": "Calculate: 4467 - (-7208) / (-7676) + 7146", "solution_steps": ["Divide: -7208 / (-7676) = 1802/1919", "Subtract: 4467 - 1802/1919 = 8570371/1919", "Add: 8570371/1919 + 7146 = 22283545/1919"], "final_answer": "22283545/1919", "answer_type": "rational", "kind": "expression", "math_text": "4467 - (-7208) / (-7676) + 7146", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4467, \"b\": -7208, \"c\": -7676, \"d\": 7146}", "seed": "10451299842777724564", "semantic_fingerprint": "sha256:2f9852a7fd95505525693241249f58c25b73421be11d35ca06bca284cf01c9ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005941", "prompt": "Compute: 92519 / (-25846) + (-91891 + (-9194))", "solution_steps": ["Divide: 92519 / (-25846) = -92519/25846", "Add: -91891 + (-9194) = -101085", "Add: -92519/25846 + (-101085) = -2612735429/25846"], "final_answer": "-2612735429/25846", "answer_type": "rational", "kind": "expression", "math_text": "92519 / (-25846) + (-91891 + (-9194))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 92519, \"b\": -25846, \"c\": -91891, \"d\": -9194}", "seed": "15224599134928808339", "semantic_fingerprint": "sha256:bc9a7e49d81cfd872151529b5cf0427e61a2889fe50644cf5809977a151d7ac9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005942", "prompt": "Calculate: -7548 / 4815", "solution_steps": ["Divide: -7548 / 4815 = -2516/1605"], "final_answer": "-2516/1605", "answer_type": "rational", "kind": "expression", "math_text": "-7548 / 4815", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7548, \"b\": 4815}", "seed": "3453411078411055020", "semantic_fingerprint": "sha256:7b05048e86e390c3484acd1864ef037ac7b1aa4892dbff57999a35592cb5dabc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005943", "prompt": "What is 7315 / 72286 * 24684?", "solution_steps": ["Divide: 7315 / 72286 = 7315/72286", "Multiply: (7315/72286) * 24684 = 90281730/36143"], "final_answer": "90281730/36143", "answer_type": "rational", "kind": "expression", "math_text": "7315 / 72286 * 24684", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7315, \"b\": 72286, \"c\": 24684}", "seed": "13569589197466426552", "semantic_fingerprint": "sha256:9e009519cb347884348b3afc47bd136b0496b444681bba5bad3579f87a28a9cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005944", "prompt": "Calculate: -4910 - (-3614) - 78346", "solution_steps": ["Subtract: -4910 - (-3614) = -1296", "Subtract: -1296 - 78346 = -79642"], "final_answer": "-79642", "answer_type": "integer", "kind": "expression", "math_text": "-4910 - (-3614) - 78346", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4910, \"b\": -3614, \"c\": 78346}", "seed": "8458940392844891833", "semantic_fingerprint": "sha256:41d088ecb8d10eaeae2d097bd79f977ddb97f11c8f01ec0f719bb99cc8cf848d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005945", "prompt": "Evaluate: 8825 - (-2720)", "solution_steps": ["Subtract: 8825 - (-2720) = 11545"], "final_answer": "11545", "answer_type": "integer", "kind": "expression", "math_text": "8825 - (-2720)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8825, \"b\": -2720}", "seed": "9875815384168827319", "semantic_fingerprint": "sha256:d7607d2034ce0be90d00bf3862d3a93f55b76ea4589e6c7127760a85652abdaa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005946", "prompt": "Compute: -5265 + 9430 - (1075 - 67330 / (-15501))", "solution_steps": ["Add: -5265 + 9430 = 4165", "Divide: 67330 / (-15501) = -67330/15501", "Subtract: 1075 - (-67330/15501) = 16730905/15501", "Subtract: 4165 - 16730905/15501 = 47830760/15501"], "final_answer": "47830760/15501", "answer_type": "rational", "kind": "expression", "math_text": "-5265 + 9430 - (1075 - 67330 / (-15501))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5265, \"b\": 9430, \"c\": 1075, \"d\": 67330, \"e\": -15501}", "seed": "14907738667969801284", "semantic_fingerprint": "sha256:64a588f1eba5c3d5addb6b386b9639a3aa45df868d8ddd55f238fe30da0be2d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005947", "prompt": "Evaluate: 9385 * 64525", "solution_steps": ["Multiply: 9385 * 64525 = 605567125"], "final_answer": "605567125", "answer_type": "integer", "kind": "expression", "math_text": "9385 * 64525", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9385, \"b\": 64525}", "seed": "7945459609229744722", "semantic_fingerprint": "sha256:379ca13b140e57b75cc243f1c208e2875dffa04b369c8357b257729858d72563", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005948", "prompt": "Solve for x: 17x = 23x", "solution_steps": ["Subtract 23x from both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = 23x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 23}", "seed": "2664191497837059427", "semantic_fingerprint": "sha256:7140bbd73aea18ded1360ada986ff065869c318576d32a0dfcd7ff2a3fe43cca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005949", "prompt": "Calculate: -80594 - 97807", "solution_steps": ["Subtract: -80594 - 97807 = -178401"], "final_answer": "-178401", "answer_type": "integer", "kind": "expression", "math_text": "-80594 - 97807", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -80594, \"b\": 97807}", "seed": "5594373097187902467", "semantic_fingerprint": "sha256:70e8edd9a04ddcbc1cbbd7ab4dd6699e635e56976fadeddbda67078807801d25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005950", "prompt": "What is 81562 - (-2799)?", "solution_steps": ["Subtract: 81562 - (-2799) = 84361"], "final_answer": "84361", "answer_type": "integer", "kind": "expression", "math_text": "81562 - (-2799)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 81562, \"b\": -2799}", "seed": "4365352040227667016", "semantic_fingerprint": "sha256:4f646acc00841c5893c7b2e42df4f4b00230c0fa399b1a25ba6b037a3d07f332", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005951", "prompt": "What is -55087 + 8980?", "solution_steps": ["Add: -55087 + 8980 = -46107"], "final_answer": "-46107", "answer_type": "integer", "kind": "expression", "math_text": "-55087 + 8980", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -55087, \"b\": 8980}", "seed": "4773257372884288341", "semantic_fingerprint": "sha256:16a2df34ea1601284fe6454d68c8b46243ad969ae9a389346f0fc3b142292933", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005952", "prompt": "Evaluate: 9056 + 1161", "solution_steps": ["Add: 9056 + 1161 = 10217"], "final_answer": "10217", "answer_type": "integer", "kind": "expression", "math_text": "9056 + 1161", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9056, \"b\": 1161}", "seed": "5297665308158703002", "semantic_fingerprint": "sha256:33703a0558be6fbbee06514f11885ccf0785173b8ff81dc2aa1e8d3be50d7c3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005953", "prompt": "Solve the equation x = -22(x - 6029) for x.", "solution_steps": ["Expand: x = -22x + 132638", "Add 22x to both sides: 23x = 132638", "Divide both sides by 23: x = 132638/23"], "final_answer": "132638/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22(x - 6029)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 6029}", "seed": "8262203016399220437", "semantic_fingerprint": "sha256:25541e926c2f7032e9d2a71333e138f52d60eb9a17aa3a2219fcfec42ab1d38b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005954", "prompt": "Calculate: -5648 - 30969", "solution_steps": ["Subtract: -5648 - 30969 = -36617"], "final_answer": "-36617", "answer_type": "integer", "kind": "expression", "math_text": "-5648 - 30969", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5648, \"b\": 30969}", "seed": "1176485275005869368", "semantic_fingerprint": "sha256:9d68c84cff07c0356657daf656729816a2e0b34dd0a45db6b19af4dd1630ab27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005955", "prompt": "Compute: (-1077 - 97436) / (-1790)", "solution_steps": ["Subtract: -1077 - 97436 = -98513", "Divide: -98513 / (-1790) = 98513/1790"], "final_answer": "98513/1790", "answer_type": "rational", "kind": "expression", "math_text": "(-1077 - 97436) / (-1790)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1077, \"b\": 97436, \"c\": -1790}", "seed": "6535195638122714179", "semantic_fingerprint": "sha256:35d5bc48244ff29b40e8d4f615ad2ed6223baa8d6b02ac667e11f3bb3db1333d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005956", "prompt": "What is -80140 + (5861 - (-94140))?", "solution_steps": ["Subtract: 5861 - (-94140) = 100001", "Add: -80140 + 100001 = 19861"], "final_answer": "19861", "answer_type": "integer", "kind": "expression", "math_text": "-80140 + (5861 - (-94140))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -80140, \"b\": 5861, \"c\": -94140}", "seed": "12620205801800628900", "semantic_fingerprint": "sha256:432caaf520b163b673aaf137e5f0e85d5ece02b4a37003b2133045465747143e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005957", "prompt": "What value of x satisfies 29(x - 8304) - 3196 = 36x?", "solution_steps": ["Expand: 29x - 240816 - 3196 = 36x", "Combine constants: 29x - 244012 = 36x", "Subtract 36x from both sides: -7x - 244012 = 0", "Add 244012 to both sides: -7x = 244012", "Divide both sides by -7: x = -244012/7"], "final_answer": "-244012/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 8304) - 3196 = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8304, \"c\": 3196, \"d\": 36}", "seed": "2062113911142266419", "semantic_fingerprint": "sha256:c7166e121a9eec918554d5beffdf2a83d4e638749ff1b519608411dac7707bf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005958", "prompt": "What is (8051 + 5372) / (-72911)?", "solution_steps": ["Add: 8051 + 5372 = 13423", "Divide: 13423 / (-72911) = -13423/72911"], "final_answer": "-13423/72911", "answer_type": "rational", "kind": "expression", "math_text": "(8051 + 5372) / (-72911)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8051, \"b\": 5372, \"c\": -72911}", "seed": "15622916465712049844", "semantic_fingerprint": "sha256:bc64dba723d639c68a82da8b715f944f3c3ecbda85dc4fc7f65189a411900301", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005959", "prompt": "Evaluate: 4701 - (-3229 - 3802)", "solution_steps": ["Subtract: -3229 - 3802 = -7031", "Subtract: 4701 - (-7031) = 11732"], "final_answer": "11732", "answer_type": "integer", "kind": "expression", "math_text": "4701 - (-3229 - 3802)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4701, \"b\": -3229, \"c\": 3802}", "seed": "16514957667034352080", "semantic_fingerprint": "sha256:eae73584af67488d2953dd5cbfd8d18c246fd2b355badb7cac9f5bce3f6fa2b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005960", "prompt": "Calculate: -2306 * 6394", "solution_steps": ["Multiply: -2306 * 6394 = -14744564"], "final_answer": "-14744564", "answer_type": "integer", "kind": "expression", "math_text": "-2306 * 6394", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2306, \"b\": 6394}", "seed": "8601840538730336397", "semantic_fingerprint": "sha256:f193719555715583abdac95f97299a437e2b5d42793cbfa3dee058940f795eab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005961", "prompt": "Solve for x: 29(x + 9961) + 9380 = -34(x - 49313) + 2119", "solution_steps": ["Expand: 29x + 288869 + 9380 = -34(x - 49313) + 2119", "Expand: 29x + 288869 + 9380 = -34x + 1676642 + 2119", "Combine constants: 29x + 298249 = -34x + 1676642 + 2119", "Combine constants: 29x + 298249 = -34x + 1678761", "Add 34x to both sides: 63x + 298249 = 1678761", "Subtract 298249 from both sides: 63x = 1380512", "Divide both sides by 63: x = 197216/9"], "final_answer": "197216/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 9961) + 9380 = -34(x - 49313) + 2119", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 9961, \"c\": 9380, \"d\": -34, \"e\": 49313, \"f\": 2119}", "seed": "17201694197566457274", "semantic_fingerprint": "sha256:ad0f1cec6439685f5a30eb1a65c975cc157c8224a66b6c7582550e6f4721bca0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005962", "prompt": "Solve for x: x = 40(x + 22784)", "solution_steps": ["Expand: x = 40x + 911360", "Subtract 40x from both sides: -39x = 911360", "Divide both sides by -39: x = -911360/39"], "final_answer": "-911360/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 40(x + 22784)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 22784}", "seed": "15075504860890747059", "semantic_fingerprint": "sha256:b24b9585ff417317ddf41a1568b9c15be03258c672996b52cc403a9b28a9f5cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005963", "prompt": "Compute: -74314 + (-2584) * (-22640 - (-4577) + (-7822))", "solution_steps": ["Subtract: -22640 - (-4577) = -18063", "Add: -18063 + (-7822) = -25885", "Multiply: -2584 * (-25885) = 66886840", "Add: -74314 + 66886840 = 66812526"], "final_answer": "66812526", "answer_type": "integer", "kind": "expression", "math_text": "-74314 + (-2584) * (-22640 - (-4577) + (-7822))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (+ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -74314, \"b\": -2584, \"c\": -22640, \"d\": -4577, \"e\": -7822}", "seed": "5528597288469217399", "semantic_fingerprint": "sha256:ce275c25c709abd7ce9de4691ff602b4b129e48ed43b3cdf436e94b0091c07c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005964", "prompt": "Solve the equation 36(x - 18230) = x for x.", "solution_steps": ["Expand: 36x - 656280 = x", "Subtract x from both sides: 35x - 656280 = 0", "Add 656280 to both sides: 35x = 656280", "Divide both sides by 35: x = 131256/7"], "final_answer": "131256/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 18230) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 18230}", "seed": "13975758512945030485", "semantic_fingerprint": "sha256:a17c7e04d12b9066b0870a69fffc60c4d8c9ae818d025c6fbd677a7a8025bf03", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005965", "prompt": "Compute: -7997 / (-77095) * (-8799)", "solution_steps": ["Divide: -7997 / (-77095) = 7997/77095", "Multiply: (7997/77095) * (-8799) = -70365603/77095"], "final_answer": "-70365603/77095", "answer_type": "rational", "kind": "expression", "math_text": "-7997 / (-77095) * (-8799)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7997, \"b\": -77095, \"c\": -8799}", "seed": "9322141643853441277", "semantic_fingerprint": "sha256:88ae5520a2af0da37916da2e1887160f6f0c804b662de0c6cba894126ce16a6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005966", "prompt": "Find x: 37x + 5796 = x", "solution_steps": ["Subtract x from both sides: 36x + 5796 = 0", "Subtract 5796 from both sides: 36x = -5796", "Divide both sides by 36: x = -161"], "final_answer": "-161", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x + 5796 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": 5796, \"x\": -161}", "seed": "15854425874080822314", "semantic_fingerprint": "sha256:6079dd43a3bf9001a28900c710508ec88ad176d558d80f959220a0d2e01eb4b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005967", "prompt": "Find x: 28x = 16(x + 4408)", "solution_steps": ["Expand: 28x = 16x + 70528", "Subtract 16x from both sides: 12x = 70528", "Divide both sides by 12: x = 17632/3"], "final_answer": "17632/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "28x = 16(x + 4408)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 16, \"c\": 4408}", "seed": "2918078343074740084", "semantic_fingerprint": "sha256:dad4900ca91248ad661d335ec47d7d5ce62699d54f234d111b1a6f214ab062fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005968", "prompt": "What value of x satisfies 35x = -14x - 4195?", "solution_steps": ["Add 14x to both sides: 49x = -4195", "Divide both sides by 49: x = -4195/49"], "final_answer": "-4195/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x = -14x - 4195", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": -14, \"c\": 4195}", "seed": "15876915781231000725", "semantic_fingerprint": "sha256:c2f1937a58e27585fbc58b1b798c8ef3e20ddd63d92217cde2c3c3aec24d9bc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005969", "prompt": "Compute: (8878 - 1423) * 2644 + (-4930)", "solution_steps": ["Subtract: 8878 - 1423 = 7455", "Multiply: 7455 * 2644 = 19711020", "Add: 19711020 + (-4930) = 19706090"], "final_answer": "19706090", "answer_type": "integer", "kind": "expression", "math_text": "(8878 - 1423) * 2644 + (-4930)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8878, \"b\": 1423, \"c\": 2644, \"d\": -4930}", "seed": "17529408206626040944", "semantic_fingerprint": "sha256:e8a2e825c1311c43ea512cf41b4b4cf0237a7abade3cff98a004acae74cddce3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005970", "prompt": "Solve for x: x - 2484 = 15(x - 1611) - 1181", "solution_steps": ["Expand: x - 2484 = 15x - 24165 - 1181", "Combine constants: x - 2484 = 15x - 25346", "Subtract 15x from both sides: -14x - 2484 = -25346", "Add 2484 to both sides: -14x = -22862", "Divide both sides by -14: x = 1633"], "final_answer": "1633", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2484 = 15(x - 1611) - 1181", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2484, \"b\": 15, \"c\": 1611, \"d\": 1181}", "seed": "8841933864960239252", "semantic_fingerprint": "sha256:5b9e2a86c9a0772f6e98d51dade92eb8837370b5b3c85d7e1f220fea19237be7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005971", "prompt": "Compute: 59751 / (-82288 + (-10020))", "solution_steps": ["Add: -82288 + (-10020) = -92308", "Divide: 59751 / (-92308) = -59751/92308"], "final_answer": "-59751/92308", "answer_type": "rational", "kind": "expression", "math_text": "59751 / (-82288 + (-10020))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59751, \"b\": -82288, \"c\": -10020}", "seed": "3185670760832803488", "semantic_fingerprint": "sha256:bdb78082507d0b7173dcbb6675454ec0140797aeda5f09157b5ed286250529dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005972", "prompt": "Calculate: -3276 / 13257 + (7960 - (-21817) + 29994)", "solution_steps": ["Divide: -3276 / 13257 = -364/1473", "Subtract: 7960 - (-21817) = 29777", "Add: 29777 + 29994 = 59771", "Add: -364/1473 + 59771 = 88042319/1473"], "final_answer": "88042319/1473", "answer_type": "rational", "kind": "expression", "math_text": "-3276 / 13257 + (7960 - (-21817) + 29994)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3276, \"b\": 13257, \"c\": 7960, \"d\": -21817, \"e\": 29994}", "seed": "12265815551789714157", "semantic_fingerprint": "sha256:1e65d30928960531e95bb5b3f9e62bb095440f03af30f5ae62f1da004a05d33b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005973", "prompt": "What is -9539 - 35309?", "solution_steps": ["Subtract: -9539 - 35309 = -44848"], "final_answer": "-44848", "answer_type": "integer", "kind": "expression", "math_text": "-9539 - 35309", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9539, \"b\": 35309}", "seed": "7036566695381620372", "semantic_fingerprint": "sha256:1d22e0accaa6e18e8e8c4dd5ab4780b91d0375763d626a05b3e93f5324290395", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005974", "prompt": "Solve for x: 31x + 22660 = 40x + 23191", "solution_steps": ["Subtract 40x from both sides: -9x + 22660 = 23191", "Subtract 22660 from both sides: -9x = 531", "Divide both sides by -9: x = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 22660 = 40x + 23191", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 22660, \"c\": 40, \"e\": 23191, \"x\": -59}", "seed": "14362847890192053771", "semantic_fingerprint": "sha256:b1dd9bbe17bbb88a414199fc843274fa04c11a6b0da30505dccdc8816c9b8a6b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005975", "prompt": "Solve for x: x = -17(x + 4839)", "solution_steps": ["Expand: x = -17x - 82263", "Add 17x to both sides: 18x = -82263", "Divide both sides by 18: x = -27421/6"], "final_answer": "-27421/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -17(x + 4839)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 4839}", "seed": "9081938702833932188", "semantic_fingerprint": "sha256:2c00178ac92fb656471fc4b72f55c9f5779fdcc425b98e9b8cb79520882f0369", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005976", "prompt": "What is -5722 + 83315?", "solution_steps": ["Add: -5722 + 83315 = 77593"], "final_answer": "77593", "answer_type": "integer", "kind": "expression", "math_text": "-5722 + 83315", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5722, \"b\": 83315}", "seed": "15475701914080922715", "semantic_fingerprint": "sha256:43b0a9b1a7abf0d50a6feaf1bc79508d3f142485c6b1a0722860d97b614a1f1d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005977", "prompt": "Compute: -4305 * (-64281) + 49975", "solution_steps": ["Multiply: -4305 * (-64281) = 276729705", "Add: 276729705 + 49975 = 276779680"], "final_answer": "276779680", "answer_type": "integer", "kind": "expression", "math_text": "-4305 * (-64281) + 49975", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4305, \"b\": -64281, \"c\": 49975}", "seed": "7485610422966257019", "semantic_fingerprint": "sha256:8b86e7dafd835fea6f82a868d446274599cec4813fff764b312b8d1ba3dc69bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005978", "prompt": "Compute: 6742 + (-3411 + 2118) + 82390", "solution_steps": ["Add: -3411 + 2118 = -1293", "Add: 6742 + (-1293) = 5449", "Add: 5449 + 82390 = 87839"], "final_answer": "87839", "answer_type": "integer", "kind": "expression", "math_text": "6742 + (-3411 + 2118) + 82390", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6742, \"b\": -3411, \"c\": 2118, \"d\": 82390}", "seed": "5754596258078101616", "semantic_fingerprint": "sha256:19908c56a524f3ba546638b37f4b08f84fdc0d7ef16ee727fea173ec794493d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005979", "prompt": "Calculate: 6730 + (-90506) - (36110 + (-6087) - (-6550) * (-8131))", "solution_steps": ["Add: 6730 + (-90506) = -83776", "Add: 36110 + (-6087) = 30023", "Multiply: -6550 * (-8131) = 53258050", "Subtract: 30023 - 53258050 = -53228027", "Subtract: -83776 - (-53228027) = 53144251"], "final_answer": "53144251", "answer_type": "integer", "kind": "expression", "math_text": "6730 + (-90506) - (36110 + (-6087) - (-6550) * (-8131))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (+ n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6730, \"b\": -90506, \"c\": 36110, \"d\": -6087, \"e\": -6550, \"f\": -8131}", "seed": "15408008543941615841", "semantic_fingerprint": "sha256:f1f170b14c15cb650a5cd876db6debba792bd49ec8fbde4116eeaf5ec57b3595", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005980", "prompt": "Calculate: 5466 / 37754 * (-1882)", "solution_steps": ["Divide: 5466 / 37754 = 2733/18877", "Multiply: (2733/18877) * (-1882) = -5143506/18877"], "final_answer": "-5143506/18877", "answer_type": "rational", "kind": "expression", "math_text": "5466 / 37754 * (-1882)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5466, \"b\": 37754, \"c\": -1882}", "seed": "300235537895920600", "semantic_fingerprint": "sha256:545d2530bef3ab95b43284b989aae661f336b5d0dac3fc8b092531a17276cd18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005981", "prompt": "What value of x satisfies 29(x - 2080) - 1243 = x?", "solution_steps": ["Expand: 29x - 60320 - 1243 = x", "Combine constants: 29x - 61563 = x", "Subtract x from both sides: 28x - 61563 = 0", "Add 61563 to both sides: 28x = 61563", "Divide both sides by 28: x = 61563/28"], "final_answer": "61563/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 2080) - 1243 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2080, \"c\": 1243}", "seed": "8498323348152871957", "semantic_fingerprint": "sha256:85afaddfd0bae669298ee7e78a02d59232511570f8ebd54fc44a789e6ccd7c5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005982", "prompt": "What is 48663 + (-6783)?", "solution_steps": ["Add: 48663 + (-6783) = 41880"], "final_answer": "41880", "answer_type": "integer", "kind": "expression", "math_text": "48663 + (-6783)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48663, \"b\": -6783}", "seed": "11627415632118902846", "semantic_fingerprint": "sha256:1bd45c4c804e6d59c196fb721e014ec11449aeaa61c952a9eaf4b83c912fc743", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005983", "prompt": "Compute: (75202 + 88516) * (-2378 + 1451)", "solution_steps": ["Add: 75202 + 88516 = 163718", "Add: -2378 + 1451 = -927", "Multiply: 163718 * (-927) = -151766586"], "final_answer": "-151766586", "answer_type": "integer", "kind": "expression", "math_text": "(75202 + 88516) * (-2378 + 1451)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75202, \"b\": 88516, \"c\": -2378, \"d\": 1451}", "seed": "2557001864824359177", "semantic_fingerprint": "sha256:0d41eccb72c530a649f78cced0329f86e2116ecf435978ece1239e2096690085", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005984", "prompt": "Compute: -85644 + (-5502 + (-4080) * 6416 / (-52118))", "solution_steps": ["Multiply: -4080 * 6416 = -26177280", "Divide: -26177280 / (-52118) = 13088640/26059", "Add: -5502 + 13088640/26059 = -130287978/26059", "Add: -85644 + (-130287978/26059) = -2362084974/26059"], "final_answer": "-2362084974/26059", "answer_type": "rational", "kind": "expression", "math_text": "-85644 + (-5502 + (-4080) * 6416 / (-52118))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (/ (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85644, \"b\": -5502, \"c\": -4080, \"d\": 6416, \"e\": -52118}", "seed": "4787407078402844512", "semantic_fingerprint": "sha256:9c0d7cb2cd8bedbd1f6c62867091d5e8f2bfc8d4f51db325d5393bb3899b4c6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005985", "prompt": "What value of x satisfies 32x - 8056 = -6904?", "solution_steps": ["Add 8056 to both sides: 32x = 1152", "Divide both sides by 32: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x - 8056 = -6904", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8056, \"d\": -6904, \"x\": 36}", "seed": "11955253849677840725", "semantic_fingerprint": "sha256:5dd92b8c97114f3d9caf79a03c4fb75f391f38426c110d005d01501a844432d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005986", "prompt": "Solve for x: 34x = 28(x - 35778) + 2106", "solution_steps": ["Expand: 34x = 28x - 1001784 + 2106", "Combine constants: 34x = 28x - 999678", "Subtract 28x from both sides: 6x = -999678", "Divide both sides by 6: x = -166613"], "final_answer": "-166613", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x = 28(x - 35778) + 2106", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 28, \"c\": 35778, \"d\": 2106}", "seed": "13517540284133667485", "semantic_fingerprint": "sha256:a34dd8cb3dd5a6ad13f660e09f7f491ccb7b0216654fb70949e78334560bf0cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005987", "prompt": "Solve the equation 19(x + 5456) - 75584 = 21x for x.", "solution_steps": ["Expand: 19x + 103664 - 75584 = 21x", "Combine constants: 19x + 28080 = 21x", "Subtract 21x from both sides: -2x + 28080 = 0", "Subtract 28080 from both sides: -2x = -28080", "Divide both sides by -2: x = 14040"], "final_answer": "14040", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 5456) - 75584 = 21x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5456, \"c\": 75584, \"d\": 21}", "seed": "16049732762698175092", "semantic_fingerprint": "sha256:d058c261eeda884a04d4510ca13a8f33d2d7651abc95cd3c0b45ec1f471a4c96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005988", "prompt": "Compute: 5238 / 4248 * (6945 + 3886)", "solution_steps": ["Divide: 5238 / 4248 = 291/236", "Add: 6945 + 3886 = 10831", "Multiply: (291/236) * 10831 = 3151821/236"], "final_answer": "3151821/236", "answer_type": "rational", "kind": "expression", "math_text": "5238 / 4248 * (6945 + 3886)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5238, \"b\": 4248, \"c\": 6945, \"d\": 3886}", "seed": "11731394099920899149", "semantic_fingerprint": "sha256:27093376f6b3b919c8b41e5a22eb02f6bbab7952be2502608d5bce753f55f542", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005989", "prompt": "Compute: 4091 * (6614 - (-4389 - (-61092)))", "solution_steps": ["Subtract: -4389 - (-61092) = 56703", "Subtract: 6614 - 56703 = -50089", "Multiply: 4091 * (-50089) = -204914099"], "final_answer": "-204914099", "answer_type": "integer", "kind": "expression", "math_text": "4091 * (6614 - (-4389 - (-61092)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4091, \"b\": 6614, \"c\": -4389, \"d\": -61092}", "seed": "3837413605679567608", "semantic_fingerprint": "sha256:6ba6c8fd17cf880b249ee70c9a0df0e798b5777053cf9f13b5a7bfee4c5f88bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005990", "prompt": "Calculate: -7904 / (9324 / (-7459)) - 7065 - 9708 * (-3202)", "solution_steps": ["Divide: 9324 / (-7459) = -9324/7459", "Divide: -7904 / (-9324/7459) = 14738984/2331", "Subtract: 14738984/2331 - 7065 = -1729531/2331", "Multiply: 9708 * (-3202) = -31085016", "Subtract: -1729531/2331 - (-31085016) = 72457442765/2331"], "final_answer": "72457442765/2331", "answer_type": "rational", "kind": "expression", "math_text": "-7904 / (9324 / (-7459)) - 7065 - 9708 * (-3202)", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n (/ n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7904, \"b\": 9324, \"c\": -7459, \"d\": 7065, \"e\": 9708, \"f\": -3202}", "seed": "968730013335800419", "semantic_fingerprint": "sha256:02f332e9874e3fe8518588dea8710057439bdcaa2196956802eebc40c32e5811", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005991", "prompt": "Compute: -2558 - (-61849) - 4285 * (-89784) / (-3608)", "solution_steps": ["Subtract: -2558 - (-61849) = 59291", "Multiply: 4285 * (-89784) = -384724440", "Divide: -384724440 / (-3608) = 48090555/451", "Subtract: 59291 - 48090555/451 = -21350314/451"], "final_answer": "-21350314/451", "answer_type": "rational", "kind": "expression", "math_text": "-2558 - (-61849) - 4285 * (-89784) / (-3608)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2558, \"b\": -61849, \"c\": 4285, \"d\": -89784, \"e\": -3608}", "seed": "3642684200809763482", "semantic_fingerprint": "sha256:e58728a31053d198b79f0ec2f78993bee926ec35eec70f84d171e85b63cee08f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005992", "prompt": "Calculate: 6552 - (-2371) + 71436", "solution_steps": ["Subtract: 6552 - (-2371) = 8923", "Add: 8923 + 71436 = 80359"], "final_answer": "80359", "answer_type": "integer", "kind": "expression", "math_text": "6552 - (-2371) + 71436", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6552, \"b\": -2371, \"c\": 71436}", "seed": "1441528046392766070", "semantic_fingerprint": "sha256:e5d36cefdefa96fcd028e91920aed19b480e5d5f3d11a1b6955ceb3d36b6caf9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005993", "prompt": "Evaluate: (67650 - (-4544)) * 9882", "solution_steps": ["Subtract: 67650 - (-4544) = 72194", "Multiply: 72194 * 9882 = 713421108"], "final_answer": "713421108", "answer_type": "integer", "kind": "expression", "math_text": "(67650 - (-4544)) * 9882", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 67650, \"b\": -4544, \"c\": 9882}", "seed": "16871086953931785163", "semantic_fingerprint": "sha256:ac1dc9dfa9a17c789ec5e6ad0528907fabd99d2a00349370864a89bdddeb46bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005994", "prompt": "Find x: x = -22(x - 1516) - 33996", "solution_steps": ["Expand: x = -22x + 33352 - 33996", "Combine constants: x = -22x - 644", "Add 22x to both sides: 23x = -644", "Divide both sides by 23: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -22(x - 1516) - 33996", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 1516, \"d\": -33996, \"x\": -28}", "seed": "74535038030860204", "semantic_fingerprint": "sha256:2bb2cdd9ccd0f01c544b0795df081f82d1760d0a02b81f698a997d698cd3e255", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005995", "prompt": "Calculate: 5360 * ((34189 + (-4245)) / 60202 * 2595)", "solution_steps": ["Add: 34189 + (-4245) = 29944", "Divide: 29944 / 60202 = 14972/30101", "Multiply: (14972/30101) * 2595 = 38852340/30101", "Multiply: 5360 * (38852340/30101) = 208248542400/30101"], "final_answer": "208248542400/30101", "answer_type": "rational", "kind": "expression", "math_text": "5360 * ((34189 + (-4245)) / 60202 * 2595)", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5360, \"b\": 34189, \"c\": -4245, \"d\": 60202, \"e\": 2595}", "seed": "5042978865098548174", "semantic_fingerprint": "sha256:ebe4b0269288fc130f1afb88b180dfb0851ff90a3857485c161498ad27ab1eee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005996", "prompt": "Find x: -29x + 43535 = x + 40955", "solution_steps": ["Subtract x from both sides: -30x + 43535 = 40955", "Subtract 43535 from both sides: -30x = -2580", "Divide both sides by -30: x = 86"], "final_answer": "86", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x + 43535 = x + 40955", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 43535, \"d\": 40955, \"x\": 86}", "seed": "991443938063188329", "semantic_fingerprint": "sha256:0a3b77f7d7953e412c925a1c2eb1d6ea0aa950d54842defb7b750cfd73f4e33b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005997", "prompt": "Calculate: -20848 - 9843 - (-5041) - (-6868 - (-54371 + (-4012)))", "solution_steps": ["Subtract: -20848 - 9843 = -30691", "Subtract: -30691 - (-5041) = -25650", "Add: -54371 + (-4012) = -58383", "Subtract: -6868 - (-58383) = 51515", "Subtract: -25650 - 51515 = -77165"], "final_answer": "-77165", "answer_type": "integer", "kind": "expression", "math_text": "-20848 - 9843 - (-5041) - (-6868 - (-54371 + (-4012)))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20848, \"b\": 9843, \"c\": -5041, \"d\": -6868, \"e\": -54371, \"f\": -4012}", "seed": "13711330197981831173", "semantic_fingerprint": "sha256:ee7962cb3b845bd128c570014e6c6f9f1d4f30d7a01143ed036f8710bcfa3169", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005998", "prompt": "Evaluate: -6846 - 5716", "solution_steps": ["Subtract: -6846 - 5716 = -12562"], "final_answer": "-12562", "answer_type": "integer", "kind": "expression", "math_text": "-6846 - 5716", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6846, \"b\": 5716}", "seed": "2428547602452529816", "semantic_fingerprint": "sha256:9e23c3d9ac5a01d81ccb7b83fe11227e60accfad8a945073ef74e7bd283ca191", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00005999", "prompt": "Evaluate: 3846 + (-4937 + (-94218 - (-13866)))", "solution_steps": ["Subtract: -94218 - (-13866) = -80352", "Add: -4937 + (-80352) = -85289", "Add: 3846 + (-85289) = -81443"], "final_answer": "-81443", "answer_type": "integer", "kind": "expression", "math_text": "3846 + (-4937 + (-94218 - (-13866)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3846, \"b\": -4937, \"c\": -94218, \"d\": -13866}", "seed": "5641212072218034729", "semantic_fingerprint": "sha256:01250c9c011a11337126f4c63917d52be1c48835697468b1ba0ca40386df8bd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006000", "prompt": "Calculate: -81177 + 4856 + (-9442)", "solution_steps": ["Add: -81177 + 4856 = -76321", "Add: -76321 + (-9442) = -85763"], "final_answer": "-85763", "answer_type": "integer", "kind": "expression", "math_text": "-81177 + 4856 + (-9442)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81177, \"b\": 4856, \"c\": -9442}", "seed": "13392566244724325261", "semantic_fingerprint": "sha256:dcdff2f0a13a8d48ca86001ea432d83eb0dc8af3eceb52bea77878b0c9655aae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006001", "prompt": "Evaluate: 1780 * ((-9133 + (-5460)) * (-8104))", "solution_steps": ["Add: -9133 + (-5460) = -14593", "Multiply: -14593 * (-8104) = 118261672", "Multiply: 1780 * 118261672 = 210505776160"], "final_answer": "210505776160", "answer_type": "integer", "kind": "expression", "math_text": "1780 * ((-9133 + (-5460)) * (-8104))", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1780, \"b\": -9133, \"c\": -5460, \"d\": -8104}", "seed": "3085791720579088215", "semantic_fingerprint": "sha256:a03a688f8d8c97816950f6a3f7260f05f5a10930078aec45a5b523f626059c77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006002", "prompt": "What is 9841 - (-4293) + ((-2637 - (-4220)) / (-9774) - 4959)?", "solution_steps": ["Subtract: 9841 - (-4293) = 14134", "Subtract: -2637 - (-4220) = 1583", "Divide: 1583 / (-9774) = -1583/9774", "Subtract: -1583/9774 - 4959 = -48470849/9774", "Add: 14134 + (-48470849/9774) = 89674867/9774"], "final_answer": "89674867/9774", "answer_type": "rational", "kind": "expression", "math_text": "9841 - (-4293) + ((-2637 - (-4220)) / (-9774) - 4959)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (/ (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9841, \"b\": -4293, \"c\": -2637, \"d\": -4220, \"e\": -9774, \"f\": 4959}", "seed": "17752369006575281535", "semantic_fingerprint": "sha256:f15a2aa53aae8089e8c2c89347b0886d2c7ca6fca0391f8ddb7d2a39942a82c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006003", "prompt": "What is 1351 / (38875 / (-1535)) - 3858?", "solution_steps": ["Divide: 38875 / (-1535) = -7775/307", "Divide: 1351 / (-7775/307) = -414757/7775", "Subtract: -414757/7775 - 3858 = -30410707/7775"], "final_answer": "-30410707/7775", "answer_type": "rational", "kind": "expression", "math_text": "1351 / (38875 / (-1535)) - 3858", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1351, \"b\": 38875, \"c\": -1535, \"d\": 3858}", "seed": "9498162906118577641", "semantic_fingerprint": "sha256:441f56d05bf9dcaffcb482efd9f7cc7665f86a8744c441af8c3871b342de3499", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006004", "prompt": "Evaluate: (18454 + 35272 * (-2620)) / 6417", "solution_steps": ["Multiply: 35272 * (-2620) = -92412640", "Add: 18454 + (-92412640) = -92394186", "Divide: -92394186 / 6417 = -30798062/2139"], "final_answer": "-30798062/2139", "answer_type": "rational", "kind": "expression", "math_text": "(18454 + 35272 * (-2620)) / 6417", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18454, \"b\": 35272, \"c\": -2620, \"d\": 6417}", "seed": "9515195708905838016", "semantic_fingerprint": "sha256:93454dc366a843c389e99c55c597da3e1e28b5a48fa40be4de75d27ff77ad69a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006005", "prompt": "Compute: (6730 + (89157 + 15911)) / (-1997 / (3991 - (-35204)))", "solution_steps": ["Add: 89157 + 15911 = 105068", "Add: 6730 + 105068 = 111798", "Subtract: 3991 - (-35204) = 39195", "Divide: -1997 / 39195 = -1997/39195", "Divide: 111798 / (-1997/39195) = -4381922610/1997"], "final_answer": "-4381922610/1997", "answer_type": "rational", "kind": "expression", "math_text": "(6730 + (89157 + 15911)) / (-1997 / (3991 - (-35204)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6730, \"b\": 89157, \"c\": 15911, \"d\": -1997, \"e\": 3991, \"f\": -35204}", "seed": "4804255128335615726", "semantic_fingerprint": "sha256:8368b0ed66980df2d0d969020f5824342eb76fddb03cee47d9648dd6d5175495", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006006", "prompt": "What is 6993 / 2411 * (-17432 - 5445)?", "solution_steps": ["Divide: 6993 / 2411 = 6993/2411", "Subtract: -17432 - 5445 = -22877", "Multiply: (6993/2411) * (-22877) = -159978861/2411"], "final_answer": "-159978861/2411", "answer_type": "rational", "kind": "expression", "math_text": "6993 / 2411 * (-17432 - 5445)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6993, \"b\": 2411, \"c\": -17432, \"d\": 5445}", "seed": "2459912963716748318", "semantic_fingerprint": "sha256:67faa5b51ab2537645e74e40e3691cf4795cf8af42532192cdcf5b74b5388495", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006007", "prompt": "Calculate: 6879 + (-2947) + (-3017) - 7225 * (-22276)", "solution_steps": ["Add: 6879 + (-2947) = 3932", "Add: 3932 + (-3017) = 915", "Multiply: 7225 * (-22276) = -160944100", "Subtract: 915 - (-160944100) = 160945015"], "final_answer": "160945015", "answer_type": "integer", "kind": "expression", "math_text": "6879 + (-2947) + (-3017) - 7225 * (-22276)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6879, \"b\": -2947, \"c\": -3017, \"d\": 7225, \"e\": -22276}", "seed": "16501533767848689448", "semantic_fingerprint": "sha256:4e85ffbe7cc426a657b75b369e20a7e7e7114ab254276a7957ec4156edc72d12", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006008", "prompt": "Evaluate: 9561 / (17226 - 36169)", "solution_steps": ["Subtract: 17226 - 36169 = -18943", "Divide: 9561 / (-18943) = -9561/18943"], "final_answer": "-9561/18943", "answer_type": "rational", "kind": "expression", "math_text": "9561 / (17226 - 36169)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9561, \"b\": 17226, \"c\": 36169}", "seed": "2197872666932580406", "semantic_fingerprint": "sha256:560dbaf928e92bb5ddc21046048ad5324504df3db81af73145d4e57baabf48eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006009", "prompt": "Compute: 9281 - 1800 + (-88454)", "solution_steps": ["Subtract: 9281 - 1800 = 7481", "Add: 7481 + (-88454) = -80973"], "final_answer": "-80973", "answer_type": "integer", "kind": "expression", "math_text": "9281 - 1800 + (-88454)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9281, \"b\": 1800, \"c\": -88454}", "seed": "8573122963943192964", "semantic_fingerprint": "sha256:ea0df6fdd3a303e63138ac7015da7f6a5f9583efaaf7f9af114bb608387274ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006010", "prompt": "What value of x satisfies 34(x + 2408) + 1612 = 19x?", "solution_steps": ["Expand: 34x + 81872 + 1612 = 19x", "Combine constants: 34x + 83484 = 19x", "Subtract 19x from both sides: 15x + 83484 = 0", "Subtract 83484 from both sides: 15x = -83484", "Divide both sides by 15: x = -27828/5"], "final_answer": "-27828/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 2408) + 1612 = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2408, \"c\": 1612, \"d\": 19}", "seed": "2760238273568402488", "semantic_fingerprint": "sha256:0467dc4202799220dc074400a99d9ad345faefb840273698e33bcc9d6f0a7390", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006011", "prompt": "Solve the equation 14(x - 6694) - 45716 = 15x - 55812 for x.", "solution_steps": ["Expand: 14x - 93716 - 45716 = 15x - 55812", "Combine constants: 14x - 139432 = 15x - 55812", "Subtract 15x from both sides: -x - 139432 = -55812", "Add 139432 to both sides: -x = 83620", "Divide both sides by -1: x = -83620"], "final_answer": "-83620", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 6694) - 45716 = 15x - 55812", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6694, \"c\": 45716, \"d\": 15, \"e\": 55812}", "seed": "7269605626071730888", "semantic_fingerprint": "sha256:40fc970a28d4ffe28b33765026fb307337f027648f1252a133c29064e458dc24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006012", "prompt": "What is 31118 + (8966 - 4755 - (-60338))?", "solution_steps": ["Subtract: 8966 - 4755 = 4211", "Subtract: 4211 - (-60338) = 64549", "Add: 31118 + 64549 = 95667"], "final_answer": "95667", "answer_type": "integer", "kind": "expression", "math_text": "31118 + (8966 - 4755 - (-60338))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31118, \"b\": 8966, \"c\": 4755, \"d\": -60338}", "seed": "14849202121480243759", "semantic_fingerprint": "sha256:bdfac62410746df324ebb684db82d40240f7a4b4e4feacf6f380e4c402c71348", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006013", "prompt": "Evaluate: -40903 / 25877", "solution_steps": ["Divide: -40903 / 25877 = -40903/25877"], "final_answer": "-40903/25877", "answer_type": "rational", "kind": "expression", "math_text": "-40903 / 25877", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40903, \"b\": 25877}", "seed": "12426773810560028137", "semantic_fingerprint": "sha256:84a72cb791fb6c3fb006a1c7a25180adaa30bc4ae874e8bfcdd972902a240345", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006014", "prompt": "Calculate: 39346 - 7801 + 93950", "solution_steps": ["Subtract: 39346 - 7801 = 31545", "Add: 31545 + 93950 = 125495"], "final_answer": "125495", "answer_type": "integer", "kind": "expression", "math_text": "39346 - 7801 + 93950", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39346, \"b\": 7801, \"c\": 93950}", "seed": "7767141817122032865", "semantic_fingerprint": "sha256:ba942f49d0f389487da42871c14cd74c200278e520aaa686c902f8ceec7e1c18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006015", "prompt": "What value of x satisfies x + 96155 = -20(x - 4960)?", "solution_steps": ["Expand: x + 96155 = -20x + 99200", "Add 20x to both sides: 21x + 96155 = 99200", "Subtract 96155 from both sides: 21x = 3045", "Divide both sides by 21: x = 145"], "final_answer": "145", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 96155 = -20(x - 4960)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 4960, \"d\": 96155, \"x\": 145}", "seed": "13750650886633825370", "semantic_fingerprint": "sha256:84663de93abe4b3b2fc9b4529e5d0a9d117329269f2fac6d19e98dcb34903a51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006016", "prompt": "Solve the equation -39(x + 40893) - 9269 = 32(x + 39917) for x.", "solution_steps": ["Expand: -39x - 1594827 - 9269 = 32(x + 39917)", "Expand: -39x - 1594827 - 9269 = 32x + 1277344", "Combine constants: -39x - 1604096 = 32x + 1277344", "Subtract 32x from both sides: -71x - 1604096 = 1277344", "Add 1604096 to both sides: -71x = 2881440", "Divide both sides by -71: x = -2881440/71"], "final_answer": "-2881440/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 40893) - 9269 = 32(x + 39917)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 40893, \"c\": 9269, \"d\": 32, \"e\": 39917}", "seed": "11274783803288139976", "semantic_fingerprint": "sha256:b3c9e10beae686fdf12a4825829574513fba4657e3b687f21c8e903a3787a3c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006017", "prompt": "Find x: 13(x - 7638) = x", "solution_steps": ["Expand: 13x - 99294 = x", "Subtract x from both sides: 12x - 99294 = 0", "Add 99294 to both sides: 12x = 99294", "Divide both sides by 12: x = 16549/2"], "final_answer": "16549/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 7638) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7638}", "seed": "13546785274829307825", "semantic_fingerprint": "sha256:ea9dce79d57c54427c7663374cc63f3ae76bbb7611986b2e0f9dcf065392043c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006018", "prompt": "Solve for x: 25x = -23(x - 2045) - 53899", "solution_steps": ["Expand: 25x = -23x + 47035 - 53899", "Combine constants: 25x = -23x - 6864", "Add 23x to both sides: 48x = -6864", "Divide both sides by 48: x = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = -23(x - 2045) - 53899", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": -23, \"c\": 2045, \"e\": -53899, \"x\": -143}", "seed": "17655212824140274891", "semantic_fingerprint": "sha256:0009917dc30d892b1102ebc9f59bd39a57f5e63ceb821eda76136be80d5be72a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006019", "prompt": "What is -1048 + 3771?", "solution_steps": ["Add: -1048 + 3771 = 2723"], "final_answer": "2723", "answer_type": "integer", "kind": "expression", "math_text": "-1048 + 3771", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1048, \"b\": 3771}", "seed": "8629540869488859875", "semantic_fingerprint": "sha256:a2e21c222972bb6db4f3517a0df8cc90e4179e4970cf4726fd2a035662676bd9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006020", "prompt": "Compute: (-74357 + 6844) / (-4846)", "solution_steps": ["Add: -74357 + 6844 = -67513", "Divide: -67513 / (-4846) = 67513/4846"], "final_answer": "67513/4846", "answer_type": "rational", "kind": "expression", "math_text": "(-74357 + 6844) / (-4846)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74357, \"b\": 6844, \"c\": -4846}", "seed": "14872945990543447325", "semantic_fingerprint": "sha256:aeb028dcd0d05fdf81503fd8eacd4d3176e77012a5b37bdf376060723dec3e1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006021", "prompt": "Calculate: -88323 / 10940 * (-1385)", "solution_steps": ["Divide: -88323 / 10940 = -88323/10940", "Multiply: (-88323/10940) * (-1385) = 24465471/2188"], "final_answer": "24465471/2188", "answer_type": "rational", "kind": "expression", "math_text": "-88323 / 10940 * (-1385)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88323, \"b\": 10940, \"c\": -1385}", "seed": "7064485289761178310", "semantic_fingerprint": "sha256:5892fdffa5c90cc28eee6998b69183ca0c508532f59237653a5e43be53d30108", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006022", "prompt": "What is -14189 + 4280 + (-75543) - (-56199)?", "solution_steps": ["Add: -14189 + 4280 = -9909", "Add: -9909 + (-75543) = -85452", "Subtract: -85452 - (-56199) = -29253"], "final_answer": "-29253", "answer_type": "integer", "kind": "expression", "math_text": "-14189 + 4280 + (-75543) - (-56199)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14189, \"b\": 4280, \"c\": -75543, \"d\": -56199}", "seed": "8535226433772655664", "semantic_fingerprint": "sha256:2bc1bd0cb0a21a16843601beb9f16a39e61481f951dc56ac6d7839cf2f4d63ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006023", "prompt": "Compute: -65810 * 22404", "solution_steps": ["Multiply: -65810 * 22404 = -1474407240"], "final_answer": "-1474407240", "answer_type": "integer", "kind": "expression", "math_text": "-65810 * 22404", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -65810, \"b\": 22404}", "seed": "12194236665433707420", "semantic_fingerprint": "sha256:5d6113f1eedcef80a6864b5e2079cf539d63bae018a5a5cae07757f9b63bcf30", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006024", "prompt": "Compute: -5703 - 4280", "solution_steps": ["Subtract: -5703 - 4280 = -9983"], "final_answer": "-9983", "answer_type": "integer", "kind": "expression", "math_text": "-5703 - 4280", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5703, \"b\": 4280}", "seed": "1933436355607497882", "semantic_fingerprint": "sha256:da5e6c1f312879322fb7910d82fca0e75e4072dd148fbcfd258159611e042710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006025", "prompt": "Find x: 28(x + 35623) = x - 3465", "solution_steps": ["Expand: 28x + 997444 = x - 3465", "Subtract x from both sides: 27x + 997444 = -3465", "Subtract 997444 from both sides: 27x = -1000909", "Divide both sides by 27: x = -1000909/27"], "final_answer": "-1000909/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 35623) = x - 3465", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 35623, \"c\": 3465}", "seed": "16920485450559294310", "semantic_fingerprint": "sha256:71494c1cd8f36cff7a3838a87899216e6e75a6754f3a3be54bc278d90660d6e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006026", "prompt": "Calculate: -45173 * (-4206) / (-92050)", "solution_steps": ["Multiply: -45173 * (-4206) = 189997638", "Divide: 189997638 / (-92050) = -94998819/46025"], "final_answer": "-94998819/46025", "answer_type": "rational", "kind": "expression", "math_text": "-45173 * (-4206) / (-92050)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45173, \"b\": -4206, \"c\": -92050}", "seed": "15458423998704679325", "semantic_fingerprint": "sha256:9c22d2433d49b958ca64e01f7b5dddd686643701d2e4930327ae403dd41f31d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006027", "prompt": "Evaluate: 7177 * (-6519) * 4977 - 8023", "solution_steps": ["Multiply: 7177 * (-6519) = -46786863", "Multiply: -46786863 * 4977 = -232858217151", "Subtract: -232858217151 - 8023 = -232858225174"], "final_answer": "-232858225174", "answer_type": "integer", "kind": "expression", "math_text": "7177 * (-6519) * 4977 - 8023", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7177, \"b\": -6519, \"c\": 4977, \"d\": 8023}", "seed": "10470568252973237315", "semantic_fingerprint": "sha256:5ed44fac6048686180b049ca6fdcedece5b2a6e105caf8be1fc826ddb0ffc83c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006028", "prompt": "Evaluate: -71359 + (-8824) * 5185 / (-9206)", "solution_steps": ["Multiply: -8824 * 5185 = -45752440", "Divide: -45752440 / (-9206) = 22876220/4603", "Add: -71359 + 22876220/4603 = -305589257/4603"], "final_answer": "-305589257/4603", "answer_type": "rational", "kind": "expression", "math_text": "-71359 + (-8824) * 5185 / (-9206)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71359, \"b\": -8824, \"c\": 5185, \"d\": -9206}", "seed": "11248537308408644663", "semantic_fingerprint": "sha256:99e1af14a657d114654724c7c6c67dc1c135b5a25b6686b88064f2d3eb3d322c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006029", "prompt": "Compute: -6005 + 74339 - 6565 * (-58042)", "solution_steps": ["Add: -6005 + 74339 = 68334", "Multiply: 6565 * (-58042) = -381045730", "Subtract: 68334 - (-381045730) = 381114064"], "final_answer": "381114064", "answer_type": "integer", "kind": "expression", "math_text": "-6005 + 74339 - 6565 * (-58042)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6005, \"b\": 74339, \"c\": 6565, \"d\": -58042}", "seed": "9515246836172178344", "semantic_fingerprint": "sha256:d44826d1b00f30fa18375de1a8abe8ef128c48e2f11add8ad22352c6ad03a3a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006030", "prompt": "What is -6502 * 65725?", "solution_steps": ["Multiply: -6502 * 65725 = -427343950"], "final_answer": "-427343950", "answer_type": "integer", "kind": "expression", "math_text": "-6502 * 65725", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6502, \"b\": 65725}", "seed": "17048399610803207287", "semantic_fingerprint": "sha256:cf310c084d42bd9fd1a44cc2940cc89887c758b7463530615d999e3302477faa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006031", "prompt": "What value of x satisfies 25x - 73786 = x - 9591?", "solution_steps": ["Subtract x from both sides: 24x - 73786 = -9591", "Add 73786 to both sides: 24x = 64195", "Divide both sides by 24: x = 64195/24"], "final_answer": "64195/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 73786 = x - 9591", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 73786, \"c\": 9591}", "seed": "14537540434798833340", "semantic_fingerprint": "sha256:0df51ef6ac124a62ec1ece90061b80d748dfa1196680ae83f1a72ce0340759c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006032", "prompt": "Solve for x: x = -37x + 5890", "solution_steps": ["Add 37x to both sides: 38x = 5890", "Divide both sides by 38: x = 155"], "final_answer": "155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -37x + 5890", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"c\": 5890, \"x\": 155}", "seed": "9638962083734268184", "semantic_fingerprint": "sha256:d7bb8ea65880340016b9a5cb648a4cced432b76aefbc3cf3cb7026a4c352107b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006033", "prompt": "Find x: 19(x - 3162) = -33(x + 25744)", "solution_steps": ["Expand: 19x - 60078 = -33(x + 25744)", "Expand: 19x - 60078 = -33x - 849552", "Add 33x to both sides: 52x - 60078 = -849552", "Add 60078 to both sides: 52x = -789474", "Divide both sides by 52: x = -394737/26"], "final_answer": "-394737/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 3162) = -33(x + 25744)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3162, \"c\": -33, \"d\": 25744}", "seed": "17131521193590345801", "semantic_fingerprint": "sha256:e0ef77d88ac478e5caec4edc3142ce0440f9f542e199c4bc0f10c8f4ee759e2e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006034", "prompt": "Evaluate: 11823 * (5255 / 13087)", "solution_steps": ["Divide: 5255 / 13087 = 5255/13087", "Multiply: 11823 * (5255/13087) = 62129865/13087"], "final_answer": "62129865/13087", "answer_type": "rational", "kind": "expression", "math_text": "11823 * (5255 / 13087)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 11823, \"b\": 5255, \"c\": 13087}", "seed": "3644046786249142812", "semantic_fingerprint": "sha256:8953cf7ad9fc3901799b1aa8349ece3acac01e9c9c9458ff83b45c483bdee0ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006035", "prompt": "Solve the equation 28(x + 3277) = 23x + 92736 for x.", "solution_steps": ["Expand: 28x + 91756 = 23x + 92736", "Subtract 23x from both sides: 5x + 91756 = 92736", "Subtract 91756 from both sides: 5x = 980", "Divide both sides by 5: x = 196"], "final_answer": "196", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 3277) = 23x + 92736", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 3277, \"c\": 23, \"e\": 92736, \"x\": 196}", "seed": "7949953179902513874", "semantic_fingerprint": "sha256:8d07943f8a7f3e5bbde45965cc19df0c2d69d1ed275b5febeabd59eef2e7100d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006036", "prompt": "Evaluate: (4512 - (9519 + (-8750))) * (96419 - (-1527))", "solution_steps": ["Add: 9519 + (-8750) = 769", "Subtract: 4512 - 769 = 3743", "Subtract: 96419 - (-1527) = 97946", "Multiply: 3743 * 97946 = 366611878"], "final_answer": "366611878", "answer_type": "integer", "kind": "expression", "math_text": "(4512 - (9519 + (-8750))) * (96419 - (-1527))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4512, \"b\": 9519, \"c\": -8750, \"d\": 96419, \"e\": -1527}", "seed": "17010322041655400600", "semantic_fingerprint": "sha256:7d1fef855fe40e5710be0b673141eec880ce70159a4b773c84e0ccabd325c0c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006037", "prompt": "Compute: 96742 * (-56826)", "solution_steps": ["Multiply: 96742 * (-56826) = -5497460892"], "final_answer": "-5497460892", "answer_type": "integer", "kind": "expression", "math_text": "96742 * (-56826)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 96742, \"b\": -56826}", "seed": "3273583708448292995", "semantic_fingerprint": "sha256:51cb99e68d230a534467a1afcc0358274533150847dd141ee8aec23d737568fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006038", "prompt": "Solve the equation x + 1447 = 1603 for x.", "solution_steps": ["Subtract 1447 from both sides: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1447 = 1603", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1447, \"c\": 1603, \"x\": 156}", "seed": "15885302077496827225", "semantic_fingerprint": "sha256:13171e61e27dc3c1389bb4c67bc054ea5d7e977277e3ee0bf2934926f303e2fa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006039", "prompt": "Calculate: 7733 / (-83431)", "solution_steps": ["Divide: 7733 / (-83431) = -7733/83431"], "final_answer": "-7733/83431", "answer_type": "rational", "kind": "expression", "math_text": "7733 / (-83431)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7733, \"b\": -83431}", "seed": "7528260162962507888", "semantic_fingerprint": "sha256:e0fb85a9a22007da16f5e8b3d9d7cf1bf8f9a9848308d34e4c319bdea89029a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006040", "prompt": "Calculate: (92607 - 9290) * 11322", "solution_steps": ["Subtract: 92607 - 9290 = 83317", "Multiply: 83317 * 11322 = 943315074"], "final_answer": "943315074", "answer_type": "integer", "kind": "expression", "math_text": "(92607 - 9290) * 11322", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 92607, \"b\": 9290, \"c\": 11322}", "seed": "2688262033438280999", "semantic_fingerprint": "sha256:0eb5ca39cdd83afbc3c0bd047557883f3220d77a41aac8933f63f16541f50194", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006041", "prompt": "Solve for x: 21(x + 4157) + 8733 = 29x + 96486", "solution_steps": ["Expand: 21x + 87297 + 8733 = 29x + 96486", "Combine constants: 21x + 96030 = 29x + 96486", "Subtract 29x from both sides: -8x + 96030 = 96486", "Subtract 96030 from both sides: -8x = 456", "Divide both sides by -8: x = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 4157) + 8733 = 29x + 96486", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4157, \"c\": 8733, \"d\": 29, \"f\": 96486, \"x\": -57}", "seed": "9250078125787594186", "semantic_fingerprint": "sha256:c29348637989a3f79d987bf90ea346d97eeb241c579d43a09c3f6d4fc00e09d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006042", "prompt": "What value of x satisfies 27(x + 12910) + 44797 = x?", "solution_steps": ["Expand: 27x + 348570 + 44797 = x", "Combine constants: 27x + 393367 = x", "Subtract x from both sides: 26x + 393367 = 0", "Subtract 393367 from both sides: 26x = -393367", "Divide both sides by 26: x = -30259/2"], "final_answer": "-30259/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 12910) + 44797 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 12910, \"c\": 44797}", "seed": "6190572925866567487", "semantic_fingerprint": "sha256:d7f5b4d50a67e6ee59942c7bf0aa926a80317a2c5ca5fd60b36116a25d62c8d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006043", "prompt": "Calculate: -3293 + 4339", "solution_steps": ["Add: -3293 + 4339 = 1046"], "final_answer": "1046", "answer_type": "integer", "kind": "expression", "math_text": "-3293 + 4339", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3293, \"b\": 4339}", "seed": "5428765071855446211", "semantic_fingerprint": "sha256:611f110c264e0b6d8309c0b002462c5ffb99bbdcaca9b9d2b8d5f63e85921025", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006044", "prompt": "Evaluate: -6410 / (93055 + 2858)", "solution_steps": ["Add: 93055 + 2858 = 95913", "Divide: -6410 / 95913 = -6410/95913"], "final_answer": "-6410/95913", "answer_type": "rational", "kind": "expression", "math_text": "-6410 / (93055 + 2858)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6410, \"b\": 93055, \"c\": 2858}", "seed": "13498625035628515310", "semantic_fingerprint": "sha256:3f4e6daf08f9e4fb98caedf3ebba5856b6c1fb6bd975a9d2a8f81dabed59cc38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006045", "prompt": "Calculate: -13203 + 7086 - 9261 - 20918 * 76526", "solution_steps": ["Add: -13203 + 7086 = -6117", "Subtract: -6117 - 9261 = -15378", "Multiply: 20918 * 76526 = 1600770868", "Subtract: -15378 - 1600770868 = -1600786246"], "final_answer": "-1600786246", "answer_type": "integer", "kind": "expression", "math_text": "-13203 + 7086 - 9261 - 20918 * 76526", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13203, \"b\": 7086, \"c\": 9261, \"d\": 20918, \"e\": 76526}", "seed": "9240049371395022603", "semantic_fingerprint": "sha256:42b7d0a834956cb103cbbacdc5b404910177e7a4b644e89ed9fd7ed05620268c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006046", "prompt": "Calculate: -24045 / (-3695)", "solution_steps": ["Divide: -24045 / (-3695) = 4809/739"], "final_answer": "4809/739", "answer_type": "rational", "kind": "expression", "math_text": "-24045 / (-3695)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24045, \"b\": -3695}", "seed": "3479682628263958371", "semantic_fingerprint": "sha256:e225bc989836535935e82ea1197866f96e467494b971ed4addf984ef846b15f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006047", "prompt": "Compute: 25133 - 88018", "solution_steps": ["Subtract: 25133 - 88018 = -62885"], "final_answer": "-62885", "answer_type": "integer", "kind": "expression", "math_text": "25133 - 88018", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 25133, \"b\": 88018}", "seed": "2817259597168547571", "semantic_fingerprint": "sha256:52e2050e8924a3e9f7f9d510550dcdc4997c34cb601bf3b3d77a86eb83fb9b3a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006048", "prompt": "What is (-32959 - 3430) / (3989 + (-7160) - (-43075))?", "solution_steps": ["Subtract: -32959 - 3430 = -36389", "Add: 3989 + (-7160) = -3171", "Subtract: -3171 - (-43075) = 39904", "Divide: -36389 / 39904 = -36389/39904"], "final_answer": "-36389/39904", "answer_type": "rational", "kind": "expression", "math_text": "(-32959 - 3430) / (3989 + (-7160) - (-43075))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32959, \"b\": 3430, \"c\": 3989, \"d\": -7160, \"e\": -43075}", "seed": "8851323893721700773", "semantic_fingerprint": "sha256:3003da3d1ae7a64683edb97a8be958eb2c126527d1e9461ff3174a3226a2497d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006049", "prompt": "Compute: -2784 / (-4832 * 6336)", "solution_steps": ["Multiply: -4832 * 6336 = -30615552", "Divide: -2784 / (-30615552) = 29/318912"], "final_answer": "29/318912", "answer_type": "rational", "kind": "expression", "math_text": "-2784 / (-4832 * 6336)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2784, \"b\": -4832, \"c\": 6336}", "seed": "4497824521770020457", "semantic_fingerprint": "sha256:5f848404802918481c375ef7b80b7764fa9e8d5da6f62a8935c5c31fea9820bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006050", "prompt": "Find x: -14(x + 8872) = x + 82030", "solution_steps": ["Expand: -14x - 124208 = x + 82030", "Subtract x from both sides: -15x - 124208 = 82030", "Add 124208 to both sides: -15x = 206238", "Divide both sides by -15: x = -68746/5"], "final_answer": "-68746/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 8872) = x + 82030", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 8872, \"c\": 82030}", "seed": "12364920238549058383", "semantic_fingerprint": "sha256:bd5d640e0a6f205bb4bf5e6d3e72764d0bb8dc240ab71d562f69ee99a50943bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006051", "prompt": "Calculate: (44229 - (-53129)) / 2936 + (2467 - (-12256))", "solution_steps": ["Subtract: 44229 - (-53129) = 97358", "Divide: 97358 / 2936 = 48679/1468", "Subtract: 2467 - (-12256) = 14723", "Add: 48679/1468 + 14723 = 21662043/1468"], "final_answer": "21662043/1468", "answer_type": "rational", "kind": "expression", "math_text": "(44229 - (-53129)) / 2936 + (2467 - (-12256))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 44229, \"b\": -53129, \"c\": 2936, \"d\": 2467, \"e\": -12256}", "seed": "5363913711345619880", "semantic_fingerprint": "sha256:fbf17995fb95ad97176974a15bf4257ae4d54a328b9e83fa81864d8f3cdf93bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006052", "prompt": "Calculate: -2462 - 17372 - 30573", "solution_steps": ["Subtract: -2462 - 17372 = -19834", "Subtract: -19834 - 30573 = -50407"], "final_answer": "-50407", "answer_type": "integer", "kind": "expression", "math_text": "-2462 - 17372 - 30573", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2462, \"b\": 17372, \"c\": 30573}", "seed": "13371953425865051802", "semantic_fingerprint": "sha256:24af5732e738d7622e5f86d0782d4a29a20d5df18eea8057b9161c799b473d3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006053", "prompt": "Solve the equation 25(x - 3329) + 13180 = 40(x - 43694) - 37531 for x.", "solution_steps": ["Expand: 25x - 83225 + 13180 = 40(x - 43694) - 37531", "Expand: 25x - 83225 + 13180 = 40x - 1747760 - 37531", "Combine constants: 25x - 70045 = 40x - 1747760 - 37531", "Combine constants: 25x - 70045 = 40x - 1785291", "Subtract 40x from both sides: -15x - 70045 = -1785291", "Add 70045 to both sides: -15x = -1715246", "Divide both sides by -15: x = 1715246/15"], "final_answer": "1715246/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 3329) + 13180 = 40(x - 43694) - 37531", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3329, \"c\": 13180, \"d\": 40, \"e\": 43694, \"f\": 37531}", "seed": "13531593499245900756", "semantic_fingerprint": "sha256:e256162a0548b0768e8ff7882931c7489924ebea44c33ef226ea3475e95ce506", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006054", "prompt": "Find x: 37(x - 33682) = -7807", "solution_steps": ["Expand: 37x - 1246234 = -7807", "Add 1246234 to both sides: 37x = 1238427", "Divide both sides by 37: x = 33471"], "final_answer": "33471", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x - 33682) = -7807", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 33682, \"c\": -7807}", "seed": "1232498142736511108", "semantic_fingerprint": "sha256:f1b2fdd5060c343b383d5c4341d45187527d4a8aff1a249f18424e19b51e9154", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006055", "prompt": "Solve the equation -27(x + 3583) = -25(x + 3090) - 19767 for x.", "solution_steps": ["Expand: -27x - 96741 = -25(x + 3090) - 19767", "Expand: -27x - 96741 = -25x - 77250 - 19767", "Combine constants: -27x - 96741 = -25x - 97017", "Add 25x to both sides: -2x - 96741 = -97017", "Add 96741 to both sides: -2x = -276", "Divide both sides by -2: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x + 3583) = -25(x + 3090) - 19767", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 3583, \"c\": -25, \"d\": 3090, \"f\": -19767, \"x\": 138}", "seed": "15133635055961348423", "semantic_fingerprint": "sha256:d0a9b1dc50f0223e5e07a31ee8bc032c5b7fddbb5944a16db8d2e5f56874489f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006056", "prompt": "Solve the equation 23x + 9894 = -16x - 68437 for x.", "solution_steps": ["Add 16x to both sides: 39x + 9894 = -68437", "Subtract 9894 from both sides: 39x = -78331", "Divide both sides by 39: x = -78331/39"], "final_answer": "-78331/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 9894 = -16x - 68437", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 9894, \"c\": -16, \"d\": 68437}", "seed": "5955941207521426785", "semantic_fingerprint": "sha256:5836ee5663fc25f2e8f5f253ad3f2520ad0264bfc1446735df1b64433c97eb76", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006057", "prompt": "Calculate: 94280 - 7746", "solution_steps": ["Subtract: 94280 - 7746 = 86534"], "final_answer": "86534", "answer_type": "integer", "kind": "expression", "math_text": "94280 - 7746", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94280, \"b\": 7746}", "seed": "8256430119923192114", "semantic_fingerprint": "sha256:0d6a88c0303fbda1e26df45cf294d16d3589f69be4e03b3c262b38591ba413c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006058", "prompt": "Find x: 37x = 36(x + 4742)", "solution_steps": ["Expand: 37x = 36x + 170712", "Subtract 36x from both sides: x = 170712"], "final_answer": "170712", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = 36(x + 4742)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 36, \"c\": 4742}", "seed": "850193330462921224", "semantic_fingerprint": "sha256:416947ea1dfcfe3d186b7be7389be05176114977cd3c10ccc487f4abdc75cfd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006059", "prompt": "Evaluate: -57726 + (5027 + (-65700 + 7681))", "solution_steps": ["Add: -65700 + 7681 = -58019", "Add: 5027 + (-58019) = -52992", "Add: -57726 + (-52992) = -110718"], "final_answer": "-110718", "answer_type": "integer", "kind": "expression", "math_text": "-57726 + (5027 + (-65700 + 7681))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -57726, \"b\": 5027, \"c\": -65700, \"d\": 7681}", "seed": "10530704572592080311", "semantic_fingerprint": "sha256:85b35d59c0537048dafe15bc3a04e122705a24a39c378c7cc10c8d01636aa8ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006060", "prompt": "Evaluate: 4843 + (-2531) * (10988 * (-9434))", "solution_steps": ["Multiply: 10988 * (-9434) = -103660792", "Multiply: -2531 * (-103660792) = 262365464552", "Add: 4843 + 262365464552 = 262365469395"], "final_answer": "262365469395", "answer_type": "integer", "kind": "expression", "math_text": "4843 + (-2531) * (10988 * (-9434))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4843, \"b\": -2531, \"c\": 10988, \"d\": -9434}", "seed": "9920276201775748069", "semantic_fingerprint": "sha256:87377765c07f4ab0caf2cecf3049f93a91f90d058f78268fccc364133c55d0c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006061", "prompt": "What is 7149 * 4882 + 8856?", "solution_steps": ["Multiply: 7149 * 4882 = 34901418", "Add: 34901418 + 8856 = 34910274"], "final_answer": "34910274", "answer_type": "integer", "kind": "expression", "math_text": "7149 * 4882 + 8856", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7149, \"b\": 4882, \"c\": 8856}", "seed": "12690409082069259966", "semantic_fingerprint": "sha256:097c3b3c50ee0cc9b225eb249a4483e3170fe663fcaaa269a722576854016dc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006062", "prompt": "Evaluate: 7226 + 97774 * (-97727)", "solution_steps": ["Multiply: 97774 * (-97727) = -9555159698", "Add: 7226 + (-9555159698) = -9555152472"], "final_answer": "-9555152472", "answer_type": "integer", "kind": "expression", "math_text": "7226 + 97774 * (-97727)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7226, \"b\": 97774, \"c\": -97727}", "seed": "12364232610822289156", "semantic_fingerprint": "sha256:db50366cab84863bb3b6eb9d8f4b1d6848420fe5f617ca233267567af3e74223", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006063", "prompt": "What value of x satisfies x + 3007 = 36x + 4014?", "solution_steps": ["Subtract 36x from both sides: -35x + 3007 = 4014", "Subtract 3007 from both sides: -35x = 1007", "Divide both sides by -35: x = -1007/35"], "final_answer": "-1007/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3007 = 36x + 4014", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3007, \"b\": 36, \"c\": 4014}", "seed": "11492297771235196150", "semantic_fingerprint": "sha256:c2dd3bdb9849452283cae3f23154927251cfb1a3b005fd366aeb6d23cb6362d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006064", "prompt": "Compute: -77181 / 8555", "solution_steps": ["Divide: -77181 / 8555 = -77181/8555"], "final_answer": "-77181/8555", "answer_type": "rational", "kind": "expression", "math_text": "-77181 / 8555", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77181, \"b\": 8555}", "seed": "16819914004320442444", "semantic_fingerprint": "sha256:1df897947af6fc38154386790f607f1fbdc1c2d6f7045d432ff92a94b9f0f3cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006065", "prompt": "Solve for x: -28x + 3741 = x", "solution_steps": ["Subtract x from both sides: -29x + 3741 = 0", "Subtract 3741 from both sides: -29x = -3741", "Divide both sides by -29: x = 129"], "final_answer": "129", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28x + 3741 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28, \"c\": 3741, \"x\": 129}", "seed": "14053178828077880160", "semantic_fingerprint": "sha256:eb0af5f9956344999253a6553a90454d2650ff146b47c14dd10140773cc4905e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006066", "prompt": "Evaluate: 4209 / 31668 * (8365 * (-7455))", "solution_steps": ["Divide: 4209 / 31668 = 1403/10556", "Multiply: 8365 * (-7455) = -62361075", "Multiply: (1403/10556) * (-62361075) = -12498941175/1508"], "final_answer": "-12498941175/1508", "answer_type": "rational", "kind": "expression", "math_text": "4209 / 31668 * (8365 * (-7455))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4209, \"b\": 31668, \"c\": 8365, \"d\": -7455}", "seed": "15095193260205880192", "semantic_fingerprint": "sha256:23f2c1997fdbb3b7cadc375d367fc4f6e48b728531b2f9f3865a49d6ba763827", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006067", "prompt": "Compute: -61284 + 90776 - (-9444 - (-1284) + (-2599))", "solution_steps": ["Add: -61284 + 90776 = 29492", "Subtract: -9444 - (-1284) = -8160", "Add: -8160 + (-2599) = -10759", "Subtract: 29492 - (-10759) = 40251"], "final_answer": "40251", "answer_type": "integer", "kind": "expression", "math_text": "-61284 + 90776 - (-9444 - (-1284) + (-2599))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -61284, \"b\": 90776, \"c\": -9444, \"d\": -1284, \"e\": -2599}", "seed": "8030055020487558595", "semantic_fingerprint": "sha256:2f6704aa91103c34ae6aa3d6911e8ee522d3509cc0b4563fe21f5e1c7e2a9235", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006068", "prompt": "Evaluate: 45190 / 68663 - 1491", "solution_steps": ["Divide: 45190 / 68663 = 45190/68663", "Subtract: 45190/68663 - 1491 = -102331343/68663"], "final_answer": "-102331343/68663", "answer_type": "rational", "kind": "expression", "math_text": "45190 / 68663 - 1491", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45190, \"b\": 68663, \"c\": 1491}", "seed": "4752714231916367364", "semantic_fingerprint": "sha256:20aee707eca29dba58a21ed0e05417a40e69841e078b449bcccbc066a88f4261", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006069", "prompt": "What is -66714 / (-66852) - 6972 + 1715?", "solution_steps": ["Divide: -66714 / (-66852) = 11119/11142", "Subtract: 11119/11142 - 6972 = -77670905/11142", "Add: -77670905/11142 + 1715 = -58562375/11142"], "final_answer": "-58562375/11142", "answer_type": "rational", "kind": "expression", "math_text": "-66714 / (-66852) - 6972 + 1715", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -66714, \"b\": -66852, \"c\": 6972, \"d\": 1715}", "seed": "11993782199505594752", "semantic_fingerprint": "sha256:19c10eee73c592fecd74b24d486207625612bed799080672ad1df570009d6910", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006070", "prompt": "Solve the equation x - 19111 = 34x - 17131 for x.", "solution_steps": ["Subtract 34x from both sides: -33x - 19111 = -17131", "Add 19111 to both sides: -33x = 1980", "Divide both sides by -33: x = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 19111 = 34x - 17131", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19111, \"b\": 34, \"d\": -17131, \"x\": -60}", "seed": "27364468922495087", "semantic_fingerprint": "sha256:b6e246216bb945251266563d9671dce175a23ece8e48fd31f04ec8c3fcd40368", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006071", "prompt": "Evaluate: -6689 * 7067", "solution_steps": ["Multiply: -6689 * 7067 = -47271163"], "final_answer": "-47271163", "answer_type": "integer", "kind": "expression", "math_text": "-6689 * 7067", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6689, \"b\": 7067}", "seed": "17978432858664113768", "semantic_fingerprint": "sha256:4d7b3816ab0d1c8808e355c3ab6ec1b3db08e67516350cff882c865a7fc1225f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006072", "prompt": "Find x: -33(x + 3637) - 34603 = -31(x - 4436)", "solution_steps": ["Expand: -33x - 120021 - 34603 = -31(x - 4436)", "Expand: -33x - 120021 - 34603 = -31x + 137516", "Combine constants: -33x - 154624 = -31x + 137516", "Add 31x to both sides: -2x - 154624 = 137516", "Add 154624 to both sides: -2x = 292140", "Divide both sides by -2: x = -146070"], "final_answer": "-146070", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33(x + 3637) - 34603 = -31(x - 4436)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 3637, \"c\": 34603, \"d\": -31, \"e\": 4436}", "seed": "18069914434238034387", "semantic_fingerprint": "sha256:be0c559b76b545813606c0110d97003aad20c343ce772e8668c60c81e650f46b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006073", "prompt": "Find x: 37(x - 7155) + 68202 = x", "solution_steps": ["Expand: 37x - 264735 + 68202 = x", "Combine constants: 37x - 196533 = x", "Subtract x from both sides: 36x - 196533 = 0", "Add 196533 to both sides: 36x = 196533", "Divide both sides by 36: x = 21837/4"], "final_answer": "21837/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 7155) + 68202 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 7155, \"c\": 68202}", "seed": "13419604399718032874", "semantic_fingerprint": "sha256:8c9f72ebb43640a288586a3e009270e7019b0e8940a9ca1e81c4b5be7902e55b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006074", "prompt": "Evaluate: -4033 * 2478", "solution_steps": ["Multiply: -4033 * 2478 = -9993774"], "final_answer": "-9993774", "answer_type": "integer", "kind": "expression", "math_text": "-4033 * 2478", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4033, \"b\": 2478}", "seed": "12350508610032630934", "semantic_fingerprint": "sha256:6809aa7ad6df8e79a09c9757f1882d23c96bc5488b07e72b6bd82d603fbce4ce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006075", "prompt": "Solve the equation 16x = -2032 for x.", "solution_steps": ["Divide both sides by 16: x = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = -2032", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"c\": -2032, \"x\": -127}", "seed": "2873235790643975507", "semantic_fingerprint": "sha256:e2766bf33cd36c7fe941459099fc6a7935436d3c90061162d1776840aea34ded", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006076", "prompt": "Find x: x = 36(x + 1338)", "solution_steps": ["Expand: x = 36x + 48168", "Subtract 36x from both sides: -35x = 48168", "Divide both sides by -35: x = -48168/35"], "final_answer": "-48168/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 36(x + 1338)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1338}", "seed": "12884463072407940096", "semantic_fingerprint": "sha256:b28b231533e69428c150119b6571406b94b9f7af16b6674b14562a95e1286da0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006077", "prompt": "Evaluate: -9688 / 4762 * (-12654)", "solution_steps": ["Divide: -9688 / 4762 = -4844/2381", "Multiply: (-4844/2381) * (-12654) = 61295976/2381"], "final_answer": "61295976/2381", "answer_type": "rational", "kind": "expression", "math_text": "-9688 / 4762 * (-12654)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9688, \"b\": 4762, \"c\": -12654}", "seed": "12347058664352562883", "semantic_fingerprint": "sha256:60d68e154fc7719deee7f27372c2cc63c64c645c47e3e29b684ca2cca2560159", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006078", "prompt": "Solve for x: x = -33(x - 51220)", "solution_steps": ["Expand: x = -33x + 1690260", "Add 33x to both sides: 34x = 1690260", "Divide both sides by 34: x = 845130/17"], "final_answer": "845130/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -33(x - 51220)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 51220}", "seed": "132066877603488297", "semantic_fingerprint": "sha256:a53be40bb7ee3bab930ede540255d5425f3d7a672a28fa41ffa315635ab4a9b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006079", "prompt": "Compute: -2562 / 35192 + 59898", "solution_steps": ["Divide: -2562 / 35192 = -1281/17596", "Add: -1281/17596 + 59898 = 1053963927/17596"], "final_answer": "1053963927/17596", "answer_type": "rational", "kind": "expression", "math_text": "-2562 / 35192 + 59898", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2562, \"b\": 35192, \"c\": 59898}", "seed": "84051300066765769", "semantic_fingerprint": "sha256:fc5a56f795affea5a8e097908d7e6bff71d9371a2b1b7eef1181b9c56a66efd9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006080", "prompt": "Calculate: -18848 * 9637 - (-9407 + 5465)", "solution_steps": ["Multiply: -18848 * 9637 = -181638176", "Add: -9407 + 5465 = -3942", "Subtract: -181638176 - (-3942) = -181634234"], "final_answer": "-181634234", "answer_type": "integer", "kind": "expression", "math_text": "-18848 * 9637 - (-9407 + 5465)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18848, \"b\": 9637, \"c\": -9407, \"d\": 5465}", "seed": "284023994672860995", "semantic_fingerprint": "sha256:fc273b971c161a43d1538239215016b202bd531d22fa7829cecdf59ff44d44b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006081", "prompt": "Find x: 30(x + 2356) = x + 66794", "solution_steps": ["Expand: 30x + 70680 = x + 66794", "Subtract x from both sides: 29x + 70680 = 66794", "Subtract 70680 from both sides: 29x = -3886", "Divide both sides by 29: x = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "linear_equation", "math_text": "30(x + 2356) = x + 66794", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 2356, \"d\": 66794, \"x\": -134}", "seed": "914879009736606470", "semantic_fingerprint": "sha256:aa549fa581105a43aebac9c7c9566a648abcfd482dcfd917b02cf32423fd2613", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006082", "prompt": "Evaluate: 5565 * (-4538 / (-3056))", "solution_steps": ["Divide: -4538 / (-3056) = 2269/1528", "Multiply: 5565 * (2269/1528) = 12626985/1528"], "final_answer": "12626985/1528", "answer_type": "rational", "kind": "expression", "math_text": "5565 * (-4538 / (-3056))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5565, \"b\": -4538, \"c\": -3056}", "seed": "7165773320521171260", "semantic_fingerprint": "sha256:3a47ce287d695d0f15824652c4b749974fed9b6393c3d80bdbc6825fa0aa7e70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006083", "prompt": "What is (2846 - 1377) * 6053 + (-4027)?", "solution_steps": ["Subtract: 2846 - 1377 = 1469", "Multiply: 1469 * 6053 = 8891857", "Add: 8891857 + (-4027) = 8887830"], "final_answer": "8887830", "answer_type": "integer", "kind": "expression", "math_text": "(2846 - 1377) * 6053 + (-4027)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2846, \"b\": 1377, \"c\": 6053, \"d\": -4027}", "seed": "1795634975881667043", "semantic_fingerprint": "sha256:21f7e90c40637f95796183d05a5490dd915e17d60bce89cdf0e2e6d967bb7d40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006084", "prompt": "What is (-76322 + (-1075 - 1644)) / (-65591)?", "solution_steps": ["Subtract: -1075 - 1644 = -2719", "Add: -76322 + (-2719) = -79041", "Divide: -79041 / (-65591) = 79041/65591"], "final_answer": "79041/65591", "answer_type": "rational", "kind": "expression", "math_text": "(-76322 + (-1075 - 1644)) / (-65591)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -76322, \"b\": -1075, \"c\": 1644, \"d\": -65591}", "seed": "8576388798231474236", "semantic_fingerprint": "sha256:8ffaf7c8f5c3cc2b4dce573cb75291650804056fdff5a26570f33dec3ec29279", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006085", "prompt": "Compute: (7978 - (10498 + (-81873)) - (93375 - 8007)) / (-3911)", "solution_steps": ["Add: 10498 + (-81873) = -71375", "Subtract: 7978 - (-71375) = 79353", "Subtract: 93375 - 8007 = 85368", "Subtract: 79353 - 85368 = -6015", "Divide: -6015 / (-3911) = 6015/3911"], "final_answer": "6015/3911", "answer_type": "rational", "kind": "expression", "math_text": "(7978 - (10498 + (-81873)) - (93375 - 8007)) / (-3911)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7978, \"b\": 10498, \"c\": -81873, \"d\": 93375, \"e\": 8007, \"f\": -3911}", "seed": "5566156324002370531", "semantic_fingerprint": "sha256:813c92e4e2fc680dc54f8e388a1da8912ebefeff29591ee556324c277e22652a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006086", "prompt": "Find x: 39(x + 49369) + 33275 = 25(x + 5990)", "solution_steps": ["Expand: 39x + 1925391 + 33275 = 25(x + 5990)", "Expand: 39x + 1925391 + 33275 = 25x + 149750", "Combine constants: 39x + 1958666 = 25x + 149750", "Subtract 25x from both sides: 14x + 1958666 = 149750", "Subtract 1958666 from both sides: 14x = -1808916", "Divide both sides by 14: x = -904458/7"], "final_answer": "-904458/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 49369) + 33275 = 25(x + 5990)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 49369, \"c\": 33275, \"d\": 25, \"e\": 5990}", "seed": "844514164995198900", "semantic_fingerprint": "sha256:3855125cc6413f8179ca34b1b35ec3478f6a142b72af5f35a64568cb4e67002e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006087", "prompt": "Calculate: (-47065 + 1866) / (-6584)", "solution_steps": ["Add: -47065 + 1866 = -45199", "Divide: -45199 / (-6584) = 45199/6584"], "final_answer": "45199/6584", "answer_type": "rational", "kind": "expression", "math_text": "(-47065 + 1866) / (-6584)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47065, \"b\": 1866, \"c\": -6584}", "seed": "5434387503430839943", "semantic_fingerprint": "sha256:109e8f9675a7440f71aeeb61a0a19115ac16839cda7dd35c714226c7b8716f82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006088", "prompt": "Solve the equation 22(x - 18872) = -19(x + 1217) for x.", "solution_steps": ["Expand: 22x - 415184 = -19(x + 1217)", "Expand: 22x - 415184 = -19x - 23123", "Add 19x to both sides: 41x - 415184 = -23123", "Add 415184 to both sides: 41x = 392061", "Divide both sides by 41: x = 392061/41"], "final_answer": "392061/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 18872) = -19(x + 1217)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 18872, \"c\": -19, \"d\": 1217}", "seed": "16905096162321158825", "semantic_fingerprint": "sha256:abc95a448f3b363b72c03933d7f4ac79d7b7ed2c889f9a586c9e4c830757b56b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006089", "prompt": "Calculate: 4924 - 8372 - (-7784)", "solution_steps": ["Subtract: 4924 - 8372 = -3448", "Subtract: -3448 - (-7784) = 4336"], "final_answer": "4336", "answer_type": "integer", "kind": "expression", "math_text": "4924 - 8372 - (-7784)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4924, \"b\": 8372, \"c\": -7784}", "seed": "1923137954748723277", "semantic_fingerprint": "sha256:65958eac7d18d8ac5eb025aa6d4b748fbf74d76322c730b5bca350373256f9ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006090", "prompt": "Calculate: -1290 + (2106 - (-5147))", "solution_steps": ["Subtract: 2106 - (-5147) = 7253", "Add: -1290 + 7253 = 5963"], "final_answer": "5963", "answer_type": "integer", "kind": "expression", "math_text": "-1290 + (2106 - (-5147))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1290, \"b\": 2106, \"c\": -5147}", "seed": "10653376055328985572", "semantic_fingerprint": "sha256:fcbd8a440ab108f85b93e3f8d950123af185f3a8d6c8ca9fff28bf5903d3c7dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006091", "prompt": "What value of x satisfies 25x - 6122 = 17(x + 5092)?", "solution_steps": ["Expand: 25x - 6122 = 17x + 86564", "Subtract 17x from both sides: 8x - 6122 = 86564", "Add 6122 to both sides: 8x = 92686", "Divide both sides by 8: x = 46343/4"], "final_answer": "46343/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 6122 = 17(x + 5092)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 6122, \"c\": 17, \"d\": 5092}", "seed": "18250992009648457269", "semantic_fingerprint": "sha256:2db41575218a38f498653807f18aa9513bc389a39566e3b7122c25d41975780c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006092", "prompt": "What is 8310 - (-78847) / 1673?", "solution_steps": ["Divide: -78847 / 1673 = -78847/1673", "Subtract: 8310 - (-78847/1673) = 13981477/1673"], "final_answer": "13981477/1673", "answer_type": "rational", "kind": "expression", "math_text": "8310 - (-78847) / 1673", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8310, \"b\": -78847, \"c\": 1673}", "seed": "14630426723816059078", "semantic_fingerprint": "sha256:fbcff7e906cf35dce507ca567d71813b97fd6a03020b303c86c565a85410e550", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006093", "prompt": "Calculate: 5422 + (-8272)", "solution_steps": ["Add: 5422 + (-8272) = -2850"], "final_answer": "-2850", "answer_type": "integer", "kind": "expression", "math_text": "5422 + (-8272)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5422, \"b\": -8272}", "seed": "1591993937502263627", "semantic_fingerprint": "sha256:87e276242f80ba05ddf2b0358d2e1d1829906ebbe8745fd23915731ce9adc139", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006094", "prompt": "Find x: 33x + 8966 = 16(x + 2730) - 37791", "solution_steps": ["Expand: 33x + 8966 = 16x + 43680 - 37791", "Combine constants: 33x + 8966 = 16x + 5889", "Subtract 16x from both sides: 17x + 8966 = 5889", "Subtract 8966 from both sides: 17x = -3077", "Divide both sides by 17: x = -181"], "final_answer": "-181", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x + 8966 = 16(x + 2730) - 37791", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 8966, \"c\": 16, \"d\": 2730, \"f\": -37791, \"x\": -181}", "seed": "2040482318335840981", "semantic_fingerprint": "sha256:70996023d28b6b7766c5533b2e7c834ad52a3a2a1834b026b7ce842db84805b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006095", "prompt": "Calculate: 2380 * (-14523)", "solution_steps": ["Multiply: 2380 * (-14523) = -34564740"], "final_answer": "-34564740", "answer_type": "integer", "kind": "expression", "math_text": "2380 * (-14523)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2380, \"b\": -14523}", "seed": "11458210567415436875", "semantic_fingerprint": "sha256:c117caa7411627101169221f44bda93fee7a7120b6f0ab057ca848d3e77df5c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006096", "prompt": "Calculate: 43267 * 59352", "solution_steps": ["Multiply: 43267 * 59352 = 2567982984"], "final_answer": "2567982984", "answer_type": "integer", "kind": "expression", "math_text": "43267 * 59352", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43267, \"b\": 59352}", "seed": "2068164836004072458", "semantic_fingerprint": "sha256:bd1bd4033a5fc20e9b11d523aa859d5432777e8cefd30d59254e9ff650120694", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006097", "prompt": "Calculate: 81671 - 7757 * (-6759 + (-7065) * 4196)", "solution_steps": ["Multiply: -7065 * 4196 = -29644740", "Add: -6759 + (-29644740) = -29651499", "Multiply: 7757 * (-29651499) = -230006677743", "Subtract: 81671 - (-230006677743) = 230006759414"], "final_answer": "230006759414", "answer_type": "integer", "kind": "expression", "math_text": "81671 - 7757 * (-6759 + (-7065) * 4196)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (+ n (* n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 81671, \"b\": 7757, \"c\": -6759, \"d\": -7065, \"e\": 4196}", "seed": "9015565129023667041", "semantic_fingerprint": "sha256:00b20fd1cb5e46d8edc3057e585e1891e0b33ab6f0e5ca834d9621b95c4eeb01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006098", "prompt": "Compute: -2987 * (-28189)", "solution_steps": ["Multiply: -2987 * (-28189) = 84200543"], "final_answer": "84200543", "answer_type": "integer", "kind": "expression", "math_text": "-2987 * (-28189)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2987, \"b\": -28189}", "seed": "9695951974661524191", "semantic_fingerprint": "sha256:264b82f87f8e499bdc7fb7be9c7c9802ebea40a042f938f0d7495cc43cf3587c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006099", "prompt": "Solve the equation 14x = x + 2249 for x.", "solution_steps": ["Subtract x from both sides: 13x = 2249", "Divide both sides by 13: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = x + 2249", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": 2249, \"x\": 173}", "seed": "11659408456029915489", "semantic_fingerprint": "sha256:142bd442bab6eb20da6f50517e1ed9951aad94d350fbaa072eb1a842ea36926d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006100", "prompt": "Calculate: (-33593 + (-4645)) / (-7452)", "solution_steps": ["Add: -33593 + (-4645) = -38238", "Divide: -38238 / (-7452) = 6373/1242"], "final_answer": "6373/1242", "answer_type": "rational", "kind": "expression", "math_text": "(-33593 + (-4645)) / (-7452)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33593, \"b\": -4645, \"c\": -7452}", "seed": "13570335920247279080", "semantic_fingerprint": "sha256:56b9d85df9d43537dad45c8c4d60a3b43b870877816bfc8c6f74ade1216c3714", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006101", "prompt": "Find x: 21(x - 1436) - 3243 = x - 30279", "solution_steps": ["Expand: 21x - 30156 - 3243 = x - 30279", "Combine constants: 21x - 33399 = x - 30279", "Subtract x from both sides: 20x - 33399 = -30279", "Add 33399 to both sides: 20x = 3120", "Divide both sides by 20: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 1436) - 3243 = x - 30279", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1436, \"c\": 3243, \"e\": -30279, \"x\": 156}", "seed": "2356552635429476561", "semantic_fingerprint": "sha256:da15010928ee3a3386c06afa36cc85521174e036f8e4370831decca3932d3710", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006102", "prompt": "Compute: 6313 / 14323 + 4810", "solution_steps": ["Divide: 6313 / 14323 = 6313/14323", "Add: 6313/14323 + 4810 = 68899943/14323"], "final_answer": "68899943/14323", "answer_type": "rational", "kind": "expression", "math_text": "6313 / 14323 + 4810", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6313, \"b\": 14323, \"c\": 4810}", "seed": "3925079851488081812", "semantic_fingerprint": "sha256:f643dccaac6aaacfa1e30e38b54a4bf177a7887e63c7f466e83a6d16f12ddb33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006103", "prompt": "What is -46046 * ((-4617 + 8602) / 80050)?", "solution_steps": ["Add: -4617 + 8602 = 3985", "Divide: 3985 / 80050 = 797/16010", "Multiply: -46046 * (797/16010) = -18349331/8005"], "final_answer": "-18349331/8005", "answer_type": "rational", "kind": "expression", "math_text": "-46046 * ((-4617 + 8602) / 80050)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -46046, \"b\": -4617, \"c\": 8602, \"d\": 80050}", "seed": "9708120865831262301", "semantic_fingerprint": "sha256:2f1f98c29ae3362aa79cbc16a5496203b5924cc3b621f329a1f8f8f2af527a40", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006104", "prompt": "Calculate: -92104 * 16916 - 90185 * 8832", "solution_steps": ["Multiply: -92104 * 16916 = -1558031264", "Multiply: 90185 * 8832 = 796513920", "Subtract: -1558031264 - 796513920 = -2354545184"], "final_answer": "-2354545184", "answer_type": "integer", "kind": "expression", "math_text": "-92104 * 16916 - 90185 * 8832", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -92104, \"b\": 16916, \"c\": 90185, \"d\": 8832}", "seed": "5974450195466741182", "semantic_fingerprint": "sha256:dbeb328024eefb02a8e7ad39ee6e62dd049f25e1029d8fc1e311d8f39ca5393b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006105", "prompt": "Evaluate: 3328 * 8017 + 6109", "solution_steps": ["Multiply: 3328 * 8017 = 26680576", "Add: 26680576 + 6109 = 26686685"], "final_answer": "26686685", "answer_type": "integer", "kind": "expression", "math_text": "3328 * 8017 + 6109", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3328, \"b\": 8017, \"c\": 6109}", "seed": "7144905466867128817", "semantic_fingerprint": "sha256:0a0f648833bbda63cf2bcf4afe8b650c7df31782ba090a45c0a82931719f1cbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006106", "prompt": "Solve the equation -23(x - 2461) - 95196 = -24(x + 4538) + 70242 for x.", "solution_steps": ["Expand: -23x + 56603 - 95196 = -24(x + 4538) + 70242", "Expand: -23x + 56603 - 95196 = -24x - 108912 + 70242", "Combine constants: -23x - 38593 = -24x - 108912 + 70242", "Combine constants: -23x - 38593 = -24x - 38670", "Add 24x to both sides: x - 38593 = -38670", "Add 38593 to both sides: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23(x - 2461) - 95196 = -24(x + 4538) + 70242", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 2461, \"c\": 95196, \"d\": -24, \"e\": 4538, \"g\": 70242, \"x\": -77}", "seed": "15474873507810935275", "semantic_fingerprint": "sha256:32485805809529d8549b48105aa5fbaa146792bb7b61592806e8a18f7abcbbd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006107", "prompt": "Calculate: (5450 - 8417) * 47117", "solution_steps": ["Subtract: 5450 - 8417 = -2967", "Multiply: -2967 * 47117 = -139796139"], "final_answer": "-139796139", "answer_type": "integer", "kind": "expression", "math_text": "(5450 - 8417) * 47117", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5450, \"b\": 8417, \"c\": 47117}", "seed": "13431604470717831436", "semantic_fingerprint": "sha256:011ba7aa835f5a5032d6777fc7c6e4c1d7ebbb31ea9587857c8ca3a6e5be784a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006108", "prompt": "Solve for x: -25x - 2730 = x", "solution_steps": ["Subtract x from both sides: -26x - 2730 = 0", "Add 2730 to both sides: -26x = 2730", "Divide both sides by -26: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x - 2730 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": -2730, \"x\": -105}", "seed": "14875316767827759294", "semantic_fingerprint": "sha256:20c225a84d512d378facb0af3a1d2122f742a9011652d5eb7746be039f0abfbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006109", "prompt": "Solve the equation -21(x + 4158) + 83512 = x for x.", "solution_steps": ["Expand: -21x - 87318 + 83512 = x", "Combine constants: -21x - 3806 = x", "Subtract x from both sides: -22x - 3806 = 0", "Add 3806 to both sides: -22x = 3806", "Divide both sides by -22: x = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x + 4158) + 83512 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 4158, \"d\": 83512, \"x\": -173}", "seed": "7531299645841544647", "semantic_fingerprint": "sha256:60cde287f934582dfee5b04cb9b9f4903c0dafa04d4d84afa399f30b8d9b34ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006110", "prompt": "Calculate: -88180 / 1182 - (8614 + (-83597) + (-32298))", "solution_steps": ["Divide: -88180 / 1182 = -44090/591", "Add: 8614 + (-83597) = -74983", "Add: -74983 + (-32298) = -107281", "Subtract: -44090/591 - (-107281) = 63358981/591"], "final_answer": "63358981/591", "answer_type": "rational", "kind": "expression", "math_text": "-88180 / 1182 - (8614 + (-83597) + (-32298))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -88180, \"b\": 1182, \"c\": 8614, \"d\": -83597, \"e\": -32298}", "seed": "3726752098308235052", "semantic_fingerprint": "sha256:696876b01c0884804b19df1b7b5740872230776fcb6a3373677624fe6e15cd68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006111", "prompt": "Evaluate: 1241 * (-9780)", "solution_steps": ["Multiply: 1241 * (-9780) = -12136980"], "final_answer": "-12136980", "answer_type": "integer", "kind": "expression", "math_text": "1241 * (-9780)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1241, \"b\": -9780}", "seed": "4364824155812836704", "semantic_fingerprint": "sha256:3b141454ad3700b7327e67a3ad976624845e93ecc647337a22fb5b7125b25a3a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006112", "prompt": "What is -5080 * 14216 * 8393?", "solution_steps": ["Multiply: -5080 * 14216 = -72217280", "Multiply: -72217280 * 8393 = -606119631040"], "final_answer": "-606119631040", "answer_type": "integer", "kind": "expression", "math_text": "-5080 * 14216 * 8393", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5080, \"b\": 14216, \"c\": 8393}", "seed": "6551507196955959367", "semantic_fingerprint": "sha256:de8c34d6fd202593dfec551638aab36727da5dce61ff273a41987963e426f937", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006113", "prompt": "Calculate: 89609 * 72161 / 30934", "solution_steps": ["Multiply: 89609 * 72161 = 6466275049", "Divide: 6466275049 / 30934 = 6466275049/30934"], "final_answer": "6466275049/30934", "answer_type": "rational", "kind": "expression", "math_text": "89609 * 72161 / 30934", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 89609, \"b\": 72161, \"c\": 30934}", "seed": "17433263957488995936", "semantic_fingerprint": "sha256:528b1f47e99649ac3fe5a73bd867c165ae188d99e467c44b6462046412605da2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006114", "prompt": "Calculate: -3442 + (-75283) + (-70915) + (-2922)", "solution_steps": ["Add: -3442 + (-75283) = -78725", "Add: -78725 + (-70915) = -149640", "Add: -149640 + (-2922) = -152562"], "final_answer": "-152562", "answer_type": "integer", "kind": "expression", "math_text": "-3442 + (-75283) + (-70915) + (-2922)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3442, \"b\": -75283, \"c\": -70915, \"d\": -2922}", "seed": "15192508244388833250", "semantic_fingerprint": "sha256:b939b8a1bfc66937d050389aec8ad4702b243cfe198cff94c1b8bd87bc4aac2d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006115", "prompt": "What value of x satisfies -30x - 89131 = x - 93409?", "solution_steps": ["Subtract x from both sides: -31x - 89131 = -93409", "Add 89131 to both sides: -31x = -4278", "Divide both sides by -31: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x - 89131 = x - 93409", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 89131, \"d\": -93409, \"x\": 138}", "seed": "9330095379577391739", "semantic_fingerprint": "sha256:84b24b554b4005c9402b53a587af4a25e4f5226a91b74cac94cd69d952805d2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006116", "prompt": "Find x: x = -31(x + 74132) - 93638", "solution_steps": ["Expand: x = -31x - 2298092 - 93638", "Combine constants: x = -31x - 2391730", "Add 31x to both sides: 32x = -2391730", "Divide both sides by 32: x = -1195865/16"], "final_answer": "-1195865/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -31(x + 74132) - 93638", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 74132, \"c\": 93638}", "seed": "11440996316202513435", "semantic_fingerprint": "sha256:dbf8d78eb872260e70ce4c7f315ca2fff1e20f240699eb1dfdb5dc1f87632044", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006117", "prompt": "Compute: -2245 + (-3906) - (-18270) + (-7473) * (-73428 - 77810)", "solution_steps": ["Add: -2245 + (-3906) = -6151", "Subtract: -6151 - (-18270) = 12119", "Subtract: -73428 - 77810 = -151238", "Multiply: -7473 * (-151238) = 1130201574", "Add: 12119 + 1130201574 = 1130213693"], "final_answer": "1130213693", "answer_type": "integer", "kind": "expression", "math_text": "-2245 + (-3906) - (-18270) + (-7473) * (-73428 - 77810)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2245, \"b\": -3906, \"c\": -18270, \"d\": -7473, \"e\": -73428, \"f\": 77810}", "seed": "13322236075481910140", "semantic_fingerprint": "sha256:0f2ac2891da835f4fb85127a696c75c794d66f2332cececa276f961ba501a4db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006118", "prompt": "Find x: x + 1790 = 74762", "solution_steps": ["Subtract 1790 from both sides: x = 72972"], "final_answer": "72972", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1790 = 74762", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1790, \"b\": 74762}", "seed": "4668667031973860591", "semantic_fingerprint": "sha256:20a72f75d089ddfd90a617f7e3c0e4736035d08085dc15b10f7549bd1ca30f93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006119", "prompt": "Compute: 72713 * (-7007) / 85974", "solution_steps": ["Multiply: 72713 * (-7007) = -509499991", "Divide: -509499991 / 85974 = -817817/138"], "final_answer": "-817817/138", "answer_type": "rational", "kind": "expression", "math_text": "72713 * (-7007) / 85974", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72713, \"b\": -7007, \"c\": 85974}", "seed": "12235252662980497726", "semantic_fingerprint": "sha256:8ad80cd1f9ee0efbf56bd0f2fa6cb36d59a94ff3a8a69451b0f280633abdf3b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006120", "prompt": "What is -9631 + 8821 + (-4257) * (-9482)?", "solution_steps": ["Add: -9631 + 8821 = -810", "Multiply: -4257 * (-9482) = 40364874", "Add: -810 + 40364874 = 40364064"], "final_answer": "40364064", "answer_type": "integer", "kind": "expression", "math_text": "-9631 + 8821 + (-4257) * (-9482)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9631, \"b\": 8821, \"c\": -4257, \"d\": -9482}", "seed": "15569782012337229817", "semantic_fingerprint": "sha256:cfc6e9b0e1e23c329978b3fd9fa4de6a407faf766bb49e535f1c9eacf3f727a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006121", "prompt": "Evaluate: (3543 - (-4726)) / (-6762)", "solution_steps": ["Subtract: 3543 - (-4726) = 8269", "Divide: 8269 / (-6762) = -8269/6762"], "final_answer": "-8269/6762", "answer_type": "rational", "kind": "expression", "math_text": "(3543 - (-4726)) / (-6762)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3543, \"b\": -4726, \"c\": -6762}", "seed": "7385617324522061021", "semantic_fingerprint": "sha256:8f125b77b74d93f39dc728c1b9aeea60cd1666460403bf3d1cf1fe94e65a01d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006122", "prompt": "Calculate: (-79529 - (6178 - (-4067))) / (-3264)", "solution_steps": ["Subtract: 6178 - (-4067) = 10245", "Subtract: -79529 - 10245 = -89774", "Divide: -89774 / (-3264) = 44887/1632"], "final_answer": "44887/1632", "answer_type": "rational", "kind": "expression", "math_text": "(-79529 - (6178 - (-4067))) / (-3264)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -79529, \"b\": 6178, \"c\": -4067, \"d\": -3264}", "seed": "5226760499869833427", "semantic_fingerprint": "sha256:df08ceded58fe15123a47ffa7eba504471a1f7635d119b581a41fc2d3b10c952", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006123", "prompt": "What value of x satisfies 38x = 30(x - 36559)?", "solution_steps": ["Expand: 38x = 30x - 1096770", "Subtract 30x from both sides: 8x = -1096770", "Divide both sides by 8: x = -548385/4"], "final_answer": "-548385/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x = 30(x - 36559)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 30, \"c\": 36559}", "seed": "14224972838431153124", "semantic_fingerprint": "sha256:e8459c0b2fb930bd9503d5d22403d8432d63d951143a41a67e4cf52abc71a743", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006124", "prompt": "What is 82767 * 3637?", "solution_steps": ["Multiply: 82767 * 3637 = 301023579"], "final_answer": "301023579", "answer_type": "integer", "kind": "expression", "math_text": "82767 * 3637", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 82767, \"b\": 3637}", "seed": "6873823092232771421", "semantic_fingerprint": "sha256:6fd87c0e33b8f1c913f7e35104bae1cf81458ebfea514a959decb10d7b88188f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006125", "prompt": "Solve for x: 40(x + 4526) = 38(x + 23083)", "solution_steps": ["Expand: 40x + 181040 = 38(x + 23083)", "Expand: 40x + 181040 = 38x + 877154", "Subtract 38x from both sides: 2x + 181040 = 877154", "Subtract 181040 from both sides: 2x = 696114", "Divide both sides by 2: x = 348057"], "final_answer": "348057", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x + 4526) = 38(x + 23083)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 4526, \"c\": 38, \"d\": 23083}", "seed": "17552393249676269895", "semantic_fingerprint": "sha256:1fe3ebce7c3214b232e5d4449beadb3d3d40f7e533ebee1f9c9eac8bb30016a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006126", "prompt": "Find x: 39(x + 97082) = 27(x + 84716)", "solution_steps": ["Expand: 39x + 3786198 = 27(x + 84716)", "Expand: 39x + 3786198 = 27x + 2287332", "Subtract 27x from both sides: 12x + 3786198 = 2287332", "Subtract 3786198 from both sides: 12x = -1498866", "Divide both sides by 12: x = -249811/2"], "final_answer": "-249811/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 97082) = 27(x + 84716)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 97082, \"c\": 27, \"d\": 84716}", "seed": "13080993053019713730", "semantic_fingerprint": "sha256:085052495b8f508583fb8c3a379b1af14e5edcd2eef2596834635a9ac95c7093", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006127", "prompt": "Solve the equation -39x + 8716 = 16(x + 2490) for x.", "solution_steps": ["Expand: -39x + 8716 = 16x + 39840", "Subtract 16x from both sides: -55x + 8716 = 39840", "Subtract 8716 from both sides: -55x = 31124", "Divide both sides by -55: x = -31124/55"], "final_answer": "-31124/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39x + 8716 = 16(x + 2490)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 8716, \"c\": 16, \"d\": 2490}", "seed": "15376782789597426878", "semantic_fingerprint": "sha256:a6c43b8bd2358447702c4ed0b0f0195995eefed92ce9191ad38e113df1e66bb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006128", "prompt": "Compute: -5612 / (-5512)", "solution_steps": ["Divide: -5612 / (-5512) = 1403/1378"], "final_answer": "1403/1378", "answer_type": "rational", "kind": "expression", "math_text": "-5612 / (-5512)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5612, \"b\": -5512}", "seed": "12397778624272791319", "semantic_fingerprint": "sha256:95156db5d7e13fcbc90088f0fa09c41d1cbd932c15b47c37822e7b5bd42233c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006129", "prompt": "What value of x satisfies 38(x - 7776) = x?", "solution_steps": ["Expand: 38x - 295488 = x", "Subtract x from both sides: 37x - 295488 = 0", "Add 295488 to both sides: 37x = 295488", "Divide both sides by 37: x = 295488/37"], "final_answer": "295488/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 7776) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7776}", "seed": "6175122666026886931", "semantic_fingerprint": "sha256:551f4c95ebe1aeadb8eeb926ba618a7981928c9b3d2b48f332accc9cca0e15de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006130", "prompt": "Compute: 1068 * (-7693 * ((6872 - 37162) / (-30685)))", "solution_steps": ["Subtract: 6872 - 37162 = -30290", "Divide: -30290 / (-30685) = 6058/6137", "Multiply: -7693 * (6058/6137) = -46604194/6137", "Multiply: 1068 * (-46604194/6137) = -49773279192/6137"], "final_answer": "-49773279192/6137", "answer_type": "rational", "kind": "expression", "math_text": "1068 * (-7693 * ((6872 - 37162) / (-30685)))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (/ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1068, \"b\": -7693, \"c\": 6872, \"d\": 37162, \"e\": -30685}", "seed": "15157834364630575551", "semantic_fingerprint": "sha256:f75e9550fe081c47ec63991d111edcf29e6c736533d22b26cc65d10b19ca00bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006131", "prompt": "Evaluate: -1738 * 5068 / (-5864 / 1558) - (-2355)", "solution_steps": ["Multiply: -1738 * 5068 = -8808184", "Divide: -5864 / 1558 = -2932/779", "Divide: -8808184 / (-2932/779) = 1715393834/733", "Subtract: 1715393834/733 - (-2355) = 1717120049/733"], "final_answer": "1717120049/733", "answer_type": "rational", "kind": "expression", "math_text": "-1738 * 5068 / (-5864 / 1558) - (-2355)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1738, \"b\": 5068, \"c\": -5864, \"d\": 1558, \"e\": -2355}", "seed": "7343712000316638740", "semantic_fingerprint": "sha256:de2b39c5d807379c0ee0eaf6e55aa38334518603ded773d4be00fbd3b2dd921f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006132", "prompt": "What is -4283 * (-14230)?", "solution_steps": ["Multiply: -4283 * (-14230) = 60947090"], "final_answer": "60947090", "answer_type": "integer", "kind": "expression", "math_text": "-4283 * (-14230)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4283, \"b\": -14230}", "seed": "13433039762250032578", "semantic_fingerprint": "sha256:929d4f3e0a5edc594a71b97ba9c016e7d47e3f334bd134ef725de40aa4c3b9b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006133", "prompt": "Solve the equation 33(x + 82169) - 9482 = 34(x - 8036) for x.", "solution_steps": ["Expand: 33x + 2711577 - 9482 = 34(x - 8036)", "Expand: 33x + 2711577 - 9482 = 34x - 273224", "Combine constants: 33x + 2702095 = 34x - 273224", "Subtract 34x from both sides: -x + 2702095 = -273224", "Subtract 2702095 from both sides: -x = -2975319", "Divide both sides by -1: x = 2975319"], "final_answer": "2975319", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x + 82169) - 9482 = 34(x - 8036)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 82169, \"c\": 9482, \"d\": 34, \"e\": 8036}", "seed": "9130991847578434724", "semantic_fingerprint": "sha256:1e5159577a930cd564f6ec5d77e4e222e06d517e9634f7b2b2cee293565e5dd0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006134", "prompt": "Find x: x - 63985 = -63894", "solution_steps": ["Add 63985 to both sides: x = 91"], "final_answer": "91", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 63985 = -63894", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63985, \"c\": -63894, \"x\": 91}", "seed": "857145326877367193", "semantic_fingerprint": "sha256:feb8d57b423799722cd7e65c9fbcdaa402b4f716ec661cb3f1c1326baaa30b6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006135", "prompt": "Compute: 93793 * (-4938 - (-8362))", "solution_steps": ["Subtract: -4938 - (-8362) = 3424", "Multiply: 93793 * 3424 = 321147232"], "final_answer": "321147232", "answer_type": "integer", "kind": "expression", "math_text": "93793 * (-4938 - (-8362))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93793, \"b\": -4938, \"c\": -8362}", "seed": "3741724301288503302", "semantic_fingerprint": "sha256:cc5a0f51ddad6117f949efa9a0f405aec51b562a38b56c2a5d1f87ece299805e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006136", "prompt": "Evaluate: -77457 / (-9907 + 7952 - (-7898))", "solution_steps": ["Add: -9907 + 7952 = -1955", "Subtract: -1955 - (-7898) = 5943", "Divide: -77457 / 5943 = -25819/1981"], "final_answer": "-25819/1981", "answer_type": "rational", "kind": "expression", "math_text": "-77457 / (-9907 + 7952 - (-7898))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77457, \"b\": -9907, \"c\": 7952, \"d\": -7898}", "seed": "6914187605691187623", "semantic_fingerprint": "sha256:6cc32ebfbcec62dae5febae4e57b53aff0d9e53c611412d58554980750e5bac7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006137", "prompt": "Find x: 27x + 52174 = x + 5334", "solution_steps": ["Subtract x from both sides: 26x + 52174 = 5334", "Subtract 52174 from both sides: 26x = -46840", "Divide both sides by 26: x = -23420/13"], "final_answer": "-23420/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 52174 = x + 5334", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 52174, \"c\": 5334}", "seed": "5303783943727383637", "semantic_fingerprint": "sha256:3f360956a75a337a56c2bb068254e83195779ef4efd1386d16e6c003b92948f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006138", "prompt": "Solve for x: 16(x + 1918) = -25x + 35239", "solution_steps": ["Expand: 16x + 30688 = -25x + 35239", "Add 25x to both sides: 41x + 30688 = 35239", "Subtract 30688 from both sides: 41x = 4551", "Divide both sides by 41: x = 111"], "final_answer": "111", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 1918) = -25x + 35239", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 1918, \"c\": -25, \"e\": 35239, \"x\": 111}", "seed": "3690021567317534618", "semantic_fingerprint": "sha256:3c6adf1e37ac01de8827476a310ee1da63814ab23194e1961f626fd7dad1cf84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006139", "prompt": "What value of x satisfies 31(x - 9911) = 35(x - 10922) - 8776?", "solution_steps": ["Expand: 31x - 307241 = 35(x - 10922) - 8776", "Expand: 31x - 307241 = 35x - 382270 - 8776", "Combine constants: 31x - 307241 = 35x - 391046", "Subtract 35x from both sides: -4x - 307241 = -391046", "Add 307241 to both sides: -4x = -83805", "Divide both sides by -4: x = 83805/4"], "final_answer": "83805/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 9911) = 35(x - 10922) - 8776", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 9911, \"c\": 35, \"d\": 10922, \"e\": 8776}", "seed": "1914194496047423428", "semantic_fingerprint": "sha256:7a6c1d16a58858db4fcd90bad8855024d9a03542594246fc2acce1694c8806c4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006140", "prompt": "Find x: -24(x - 85072) - 68574 = -35(x + 84922)", "solution_steps": ["Expand: -24x + 2041728 - 68574 = -35(x + 84922)", "Expand: -24x + 2041728 - 68574 = -35x - 2972270", "Combine constants: -24x + 1973154 = -35x - 2972270", "Add 35x to both sides: 11x + 1973154 = -2972270", "Subtract 1973154 from both sides: 11x = -4945424", "Divide both sides by 11: x = -449584"], "final_answer": "-449584", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x - 85072) - 68574 = -35(x + 84922)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 85072, \"c\": 68574, \"d\": -35, \"e\": 84922}", "seed": "16793163082742889498", "semantic_fingerprint": "sha256:27becd8e7337e6f1ee2969dc2c76d6bc5d6062c568c6bb9b2171152c06c6d8ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006141", "prompt": "Compute: 42030 / (63250 - (42401 - (-7952)) + 5448)", "solution_steps": ["Subtract: 42401 - (-7952) = 50353", "Subtract: 63250 - 50353 = 12897", "Add: 12897 + 5448 = 18345", "Divide: 42030 / 18345 = 2802/1223"], "final_answer": "2802/1223", "answer_type": "rational", "kind": "expression", "math_text": "42030 / (63250 - (42401 - (-7952)) + 5448)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42030, \"b\": 63250, \"c\": 42401, \"d\": -7952, \"e\": 5448}", "seed": "13509662176402179213", "semantic_fingerprint": "sha256:aaade0aa94d8135d3c644f21af8b0e74e79a42dadc86eb559a2706b6a5b738c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006142", "prompt": "Find x: -16x = x - 2499", "solution_steps": ["Subtract x from both sides: -17x = -2499", "Divide both sides by -17: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x = x - 2499", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"c\": -2499, \"x\": 147}", "seed": "15437799053284804083", "semantic_fingerprint": "sha256:8501c32b699fff2ca8afa6f24297d11d7f2ce83b0fef3129abc2d7fa6ef8c54b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006143", "prompt": "Solve the equation 30x = x - 1827 for x.", "solution_steps": ["Subtract x from both sides: 29x = -1827", "Divide both sides by 29: x = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = x - 1827", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": -1827, \"x\": -63}", "seed": "871147560684526254", "semantic_fingerprint": "sha256:32d068ff2fce5df8317be4b63a800e5de7be17c7d83d4fa2ac9fca025f86ed0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006144", "prompt": "What is (8441 + (-1942) + 6035) / (-48466)?", "solution_steps": ["Add: 8441 + (-1942) = 6499", "Add: 6499 + 6035 = 12534", "Divide: 12534 / (-48466) = -6267/24233"], "final_answer": "-6267/24233", "answer_type": "rational", "kind": "expression", "math_text": "(8441 + (-1942) + 6035) / (-48466)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8441, \"b\": -1942, \"c\": 6035, \"d\": -48466}", "seed": "10368748401010417504", "semantic_fingerprint": "sha256:cf0b5a14fd2f276166364ffc2a4a13e7448ebc6a171950924564dbde9259733f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006145", "prompt": "Solve for x: -22(x - 9824) - 63661 = 38(x + 9056) + 9045", "solution_steps": ["Expand: -22x + 216128 - 63661 = 38(x + 9056) + 9045", "Expand: -22x + 216128 - 63661 = 38x + 344128 + 9045", "Combine constants: -22x + 152467 = 38x + 344128 + 9045", "Combine constants: -22x + 152467 = 38x + 353173", "Subtract 38x from both sides: -60x + 152467 = 353173", "Subtract 152467 from both sides: -60x = 200706", "Divide both sides by -60: x = -33451/10"], "final_answer": "-33451/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x - 9824) - 63661 = 38(x + 9056) + 9045", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 9824, \"c\": 63661, \"d\": 38, \"e\": 9056, \"f\": 9045}", "seed": "5915931415736360229", "semantic_fingerprint": "sha256:f6b6c3cdde4297047b5d7721fa167e0f2f0264c7cb637ce4fbdd96f2fcc2acf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006146", "prompt": "Evaluate: (-8616 + 9638 / (-3866)) * (-8185)", "solution_steps": ["Divide: 9638 / (-3866) = -4819/1933", "Add: -8616 + (-4819/1933) = -16659547/1933", "Multiply: (-16659547/1933) * (-8185) = 136358392195/1933"], "final_answer": "136358392195/1933", "answer_type": "rational", "kind": "expression", "math_text": "(-8616 + 9638 / (-3866)) * (-8185)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8616, \"b\": 9638, \"c\": -3866, \"d\": -8185}", "seed": "10298576680753476483", "semantic_fingerprint": "sha256:e64981775a7218caf516ce18ff81c72b2f971a795ef52746309d79c3da8c68e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006147", "prompt": "What value of x satisfies -17(x + 1660) = 15x - 30204?", "solution_steps": ["Expand: -17x - 28220 = 15x - 30204", "Subtract 15x from both sides: -32x - 28220 = -30204", "Add 28220 to both sides: -32x = -1984", "Divide both sides by -32: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17(x + 1660) = 15x - 30204", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 1660, \"c\": 15, \"e\": -30204, \"x\": 62}", "seed": "18005893909133073978", "semantic_fingerprint": "sha256:0f2c776493c8ec44a036fff38920a1ed76fea0b9e9f2d8bd73d6be0932931e51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006148", "prompt": "What value of x satisfies -34x = -38(x + 27674)?", "solution_steps": ["Expand: -34x = -38x - 1051612", "Add 38x to both sides: 4x = -1051612", "Divide both sides by 4: x = -262903"], "final_answer": "-262903", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x = -38(x + 27674)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": -38, \"c\": 27674}", "seed": "16041838759716680006", "semantic_fingerprint": "sha256:f00c0a6bbb5d74ef4edd32e87270d8fb5d15892e5a9d5d44468ee64034fc0bcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006149", "prompt": "Calculate: 1401 * 76150 * 9194", "solution_steps": ["Multiply: 1401 * 76150 = 106686150", "Multiply: 106686150 * 9194 = 980872463100"], "final_answer": "980872463100", "answer_type": "integer", "kind": "expression", "math_text": "1401 * 76150 * 9194", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1401, \"b\": 76150, \"c\": 9194}", "seed": "16120926400700930434", "semantic_fingerprint": "sha256:fc860fb24d256caa9e42235009ec3f5eaeeff6f6e4c8e9291f5c26561b7b4f6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006150", "prompt": "Evaluate: -96633 + 63036 * (6298 - (-8488))", "solution_steps": ["Subtract: 6298 - (-8488) = 14786", "Multiply: 63036 * 14786 = 932050296", "Add: -96633 + 932050296 = 931953663"], "final_answer": "931953663", "answer_type": "integer", "kind": "expression", "math_text": "-96633 + 63036 * (6298 - (-8488))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -96633, \"b\": 63036, \"c\": 6298, \"d\": -8488}", "seed": "11639647986588891285", "semantic_fingerprint": "sha256:c5ab571f69c65d6c4a3dc1f3bf4cfd474c64031053e1fc4dccafab9188c2dc5b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006151", "prompt": "Evaluate: -35352 + (-3238) - 37154", "solution_steps": ["Add: -35352 + (-3238) = -38590", "Subtract: -38590 - 37154 = -75744"], "final_answer": "-75744", "answer_type": "integer", "kind": "expression", "math_text": "-35352 + (-3238) - 37154", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35352, \"b\": -3238, \"c\": 37154}", "seed": "5219150245898670795", "semantic_fingerprint": "sha256:cff24a2f9ef5127e7cd34166d2ece515d1c1b9e04cab83cb99eac93414df181a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006152", "prompt": "Calculate: -8640 * 51265 / (6461 - 7540)", "solution_steps": ["Multiply: -8640 * 51265 = -442929600", "Subtract: 6461 - 7540 = -1079", "Divide: -442929600 / (-1079) = 442929600/1079"], "final_answer": "442929600/1079", "answer_type": "rational", "kind": "expression", "math_text": "-8640 * 51265 / (6461 - 7540)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8640, \"b\": 51265, \"c\": 6461, \"d\": 7540}", "seed": "12138742781256685431", "semantic_fingerprint": "sha256:b18e6d191fb4b552c962083e571144ad1f76be2d6521cedacb1a5c8cc9084b01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006153", "prompt": "Compute: (-47958 + (-8253)) * 6809", "solution_steps": ["Add: -47958 + (-8253) = -56211", "Multiply: -56211 * 6809 = -382740699"], "final_answer": "-382740699", "answer_type": "integer", "kind": "expression", "math_text": "(-47958 + (-8253)) * 6809", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47958, \"b\": -8253, \"c\": 6809}", "seed": "4891263751881452886", "semantic_fingerprint": "sha256:a16a30b3c882af70ef53987f2dfc17de9d9ce44d4f124990735aad945f54d0f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006154", "prompt": "Calculate: 5981 / (1628 + 9874) * (-7636)", "solution_steps": ["Add: 1628 + 9874 = 11502", "Divide: 5981 / 11502 = 5981/11502", "Multiply: (5981/11502) * (-7636) = -22835458/5751"], "final_answer": "-22835458/5751", "answer_type": "rational", "kind": "expression", "math_text": "5981 / (1628 + 9874) * (-7636)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5981, \"b\": 1628, \"c\": 9874, \"d\": -7636}", "seed": "10902747503763136586", "semantic_fingerprint": "sha256:ccc962ed08449c5efa093177fb4871a4024be9a86a515028e04f26a78bd8935a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006155", "prompt": "Find x: -37(x + 49664) = 38x - 53821", "solution_steps": ["Expand: -37x - 1837568 = 38x - 53821", "Subtract 38x from both sides: -75x - 1837568 = -53821", "Add 1837568 to both sides: -75x = 1783747", "Divide both sides by -75: x = -1783747/75"], "final_answer": "-1783747/75", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 49664) = 38x - 53821", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 49664, \"c\": 38, \"d\": 53821}", "seed": "3338538040397578750", "semantic_fingerprint": "sha256:834e1cd1604f24216fabdd4ecf3c1929a876219602c84be5b32361517a3afe17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006156", "prompt": "Evaluate: (25511 + (-2748) - (-63147)) / (-13589)", "solution_steps": ["Add: 25511 + (-2748) = 22763", "Subtract: 22763 - (-63147) = 85910", "Divide: 85910 / (-13589) = -85910/13589"], "final_answer": "-85910/13589", "answer_type": "rational", "kind": "expression", "math_text": "(25511 + (-2748) - (-63147)) / (-13589)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25511, \"b\": -2748, \"c\": -63147, \"d\": -13589}", "seed": "2319400313621589474", "semantic_fingerprint": "sha256:3b2cd9d2e4bbaf787f5735d536c3f13dafe58d75519c743a9e74cfa863ba6a60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006157", "prompt": "What value of x satisfies x + 5580 = -35x?", "solution_steps": ["Add 35x to both sides: 36x + 5580 = 0", "Subtract 5580 from both sides: 36x = -5580", "Divide both sides by 36: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5580 = -35x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": 5580, \"x\": -155}", "seed": "13892193780183022719", "semantic_fingerprint": "sha256:a3f49e4f5ba5dbce8d054d807e38e3bae13572fb0403c8954ae3b215c30d7926", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006158", "prompt": "Compute: 83612 * (-2991 + (-30239))", "solution_steps": ["Add: -2991 + (-30239) = -33230", "Multiply: 83612 * (-33230) = -2778426760"], "final_answer": "-2778426760", "answer_type": "integer", "kind": "expression", "math_text": "83612 * (-2991 + (-30239))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83612, \"b\": -2991, \"c\": -30239}", "seed": "5909200982335451130", "semantic_fingerprint": "sha256:c775c377ff9b3611c2276480bc30c94d6ba08b51f6c388c44f81a73a9d4f1cc3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006159", "prompt": "What value of x satisfies x - 5856 = -5756?", "solution_steps": ["Add 5856 to both sides: x = 100"], "final_answer": "100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5856 = -5756", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5856, \"c\": -5756, \"x\": 100}", "seed": "5768016198298191311", "semantic_fingerprint": "sha256:b5b55f459ce894e8dc86302eef24d667ebeef19e0fdc7dc7f5be35f158484f89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006160", "prompt": "Compute: 88238 + (-7191 * 7252 - (-2132) / 4037)", "solution_steps": ["Multiply: -7191 * 7252 = -52149132", "Divide: -2132 / 4037 = -2132/4037", "Subtract: -52149132 - (-2132/4037) = -210526043752/4037", "Add: 88238 + (-210526043752/4037) = -210169826946/4037"], "final_answer": "-210169826946/4037", "answer_type": "rational", "kind": "expression", "math_text": "88238 + (-7191 * 7252 - (-2132) / 4037)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 88238, \"b\": -7191, \"c\": 7252, \"d\": -2132, \"e\": 4037}", "seed": "18418556239282339539", "semantic_fingerprint": "sha256:8fb57089acb819eb7fb0ac05b0cc9bc71585a8cc6f50efe38d0abed9d09566e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006161", "prompt": "What value of x satisfies x + 15267 = 26x + 19317?", "solution_steps": ["Subtract 26x from both sides: -25x + 15267 = 19317", "Subtract 15267 from both sides: -25x = 4050", "Divide both sides by -25: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 15267 = 26x + 19317", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15267, \"b\": 26, \"d\": 19317, \"x\": -162}", "seed": "15053714229331322138", "semantic_fingerprint": "sha256:b5d85aaa7814588373988fabde67645f1d518147fe747a9c9b1fd5bd36f545a1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006162", "prompt": "Evaluate: -33143 / (-7730) * 9606", "solution_steps": ["Divide: -33143 / (-7730) = 33143/7730", "Multiply: (33143/7730) * 9606 = 159185829/3865"], "final_answer": "159185829/3865", "answer_type": "rational", "kind": "expression", "math_text": "-33143 / (-7730) * 9606", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33143, \"b\": -7730, \"c\": 9606}", "seed": "5581082742942209225", "semantic_fingerprint": "sha256:3acc44541915a2653b3a65460f18c0a93481bb50b672149a1d48bc00ea5c4a70", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006163", "prompt": "Compute: -83319 * (-1861 / (-6660))", "solution_steps": ["Divide: -1861 / (-6660) = 1861/6660", "Multiply: -83319 * (1861/6660) = -51685553/2220"], "final_answer": "-51685553/2220", "answer_type": "rational", "kind": "expression", "math_text": "-83319 * (-1861 / (-6660))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83319, \"b\": -1861, \"c\": -6660}", "seed": "16634912299680000469", "semantic_fingerprint": "sha256:259323756eca7f317a17ed7a25c4ecc4b08a5adb63bab8a61bdc537e0b794230", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006164", "prompt": "Solve the equation x + 3539 = 14x + 2603 for x.", "solution_steps": ["Subtract 14x from both sides: -13x + 3539 = 2603", "Subtract 3539 from both sides: -13x = -936", "Divide both sides by -13: x = 72"], "final_answer": "72", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3539 = 14x + 2603", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3539, \"b\": 14, \"d\": 2603, \"x\": 72}", "seed": "2439099668294990660", "semantic_fingerprint": "sha256:92d3378abe016936e994ca0d6ca6e946248c58f3f695fb822314f6e0fd22bee5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006165", "prompt": "Calculate: (-2398 - (-7346)) * 60712", "solution_steps": ["Subtract: -2398 - (-7346) = 4948", "Multiply: 4948 * 60712 = 300402976"], "final_answer": "300402976", "answer_type": "integer", "kind": "expression", "math_text": "(-2398 - (-7346)) * 60712", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2398, \"b\": -7346, \"c\": 60712}", "seed": "11895081935316094338", "semantic_fingerprint": "sha256:c12ee51ea672359b845815e04858d1edae70290bb3004766ec79bcd14916ee33", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006166", "prompt": "What is (-3077 * 7290 - 55646) * (-9325)?", "solution_steps": ["Multiply: -3077 * 7290 = -22431330", "Subtract: -22431330 - 55646 = -22486976", "Multiply: -22486976 * (-9325) = 209691051200"], "final_answer": "209691051200", "answer_type": "integer", "kind": "expression", "math_text": "(-3077 * 7290 - 55646) * (-9325)", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3077, \"b\": 7290, \"c\": 55646, \"d\": -9325}", "seed": "15614111362681326509", "semantic_fingerprint": "sha256:3039c1b20a66f9a238a7b3817475765a2eaeec469f59f92183908d6814f51ca7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006167", "prompt": "Compute: 49895 * 5521 / (7318 - (-4876))", "solution_steps": ["Multiply: 49895 * 5521 = 275470295", "Subtract: 7318 - (-4876) = 12194", "Divide: 275470295 / 12194 = 275470295/12194"], "final_answer": "275470295/12194", "answer_type": "rational", "kind": "expression", "math_text": "49895 * 5521 / (7318 - (-4876))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 49895, \"b\": 5521, \"c\": 7318, \"d\": -4876}", "seed": "12634856258746130010", "semantic_fingerprint": "sha256:f81597aeb73f56b862bcee3976ebcae15d55905dae95a54a9f9365a3cce05615", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006168", "prompt": "Calculate: (-8501 - 5958) * 3228 + (-79452) * 60048 + 5502", "solution_steps": ["Subtract: -8501 - 5958 = -14459", "Multiply: -14459 * 3228 = -46673652", "Multiply: -79452 * 60048 = -4770933696", "Add: -46673652 + (-4770933696) = -4817607348", "Add: -4817607348 + 5502 = -4817601846"], "final_answer": "-4817601846", "answer_type": "integer", "kind": "expression", "math_text": "(-8501 - 5958) * 3228 + (-79452) * 60048 + 5502", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (- n n) n) (* n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8501, \"b\": 5958, \"c\": 3228, \"d\": -79452, \"e\": 60048, \"f\": 5502}", "seed": "14692365888505206123", "semantic_fingerprint": "sha256:69b0de6c8c1c61cb56ef89f7658cfef38b53c0db60a120eeb8038ab7c2448c24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006169", "prompt": "Solve for x: x = 24(x - 7945)", "solution_steps": ["Expand: x = 24x - 190680", "Subtract 24x from both sides: -23x = -190680", "Divide both sides by -23: x = 190680/23"], "final_answer": "190680/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 24(x - 7945)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 7945}", "seed": "12323835365090932325", "semantic_fingerprint": "sha256:2a319e78128a003fdc07d7e163acfc7e6c3bce49298a31f2ace18111bda69afc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006170", "prompt": "Find x: 15(x - 92437) + 5227 = 20(x - 4399) + 10045", "solution_steps": ["Expand: 15x - 1386555 + 5227 = 20(x - 4399) + 10045", "Expand: 15x - 1386555 + 5227 = 20x - 87980 + 10045", "Combine constants: 15x - 1381328 = 20x - 87980 + 10045", "Combine constants: 15x - 1381328 = 20x - 77935", "Subtract 20x from both sides: -5x - 1381328 = -77935", "Add 1381328 to both sides: -5x = 1303393", "Divide both sides by -5: x = -1303393/5"], "final_answer": "-1303393/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 92437) + 5227 = 20(x - 4399) + 10045", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 92437, \"c\": 5227, \"d\": 20, \"e\": 4399, \"f\": 10045}", "seed": "16019383681946520399", "semantic_fingerprint": "sha256:f3f5cd9602a5fc04ee1822658bee19640ea4e4dd910ee4920bc3d61fb743bc2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006171", "prompt": "Compute: 19769 - (2381 - 42514)", "solution_steps": ["Subtract: 2381 - 42514 = -40133", "Subtract: 19769 - (-40133) = 59902"], "final_answer": "59902", "answer_type": "integer", "kind": "expression", "math_text": "19769 - (2381 - 42514)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19769, \"b\": 2381, \"c\": 42514}", "seed": "8401687289984143678", "semantic_fingerprint": "sha256:4a27d11bb5b913416c8b02a1fbd19176c9515992440f4e347390017a361b0079", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006172", "prompt": "Calculate: (-59341 + 4342) * 9863", "solution_steps": ["Add: -59341 + 4342 = -54999", "Multiply: -54999 * 9863 = -542455137"], "final_answer": "-542455137", "answer_type": "integer", "kind": "expression", "math_text": "(-59341 + 4342) * 9863", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59341, \"b\": 4342, \"c\": 9863}", "seed": "7116375043232592062", "semantic_fingerprint": "sha256:a222b903243171c203dc61cfa8e93a72ae95de767821182060a594fddec2a8e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006173", "prompt": "Evaluate: -7181 + 9754 * 68562 + (-67461) * 6176", "solution_steps": ["Multiply: 9754 * 68562 = 668753748", "Add: -7181 + 668753748 = 668746567", "Multiply: -67461 * 6176 = -416639136", "Add: 668746567 + (-416639136) = 252107431"], "final_answer": "252107431", "answer_type": "integer", "kind": "expression", "math_text": "-7181 + 9754 * 68562 + (-67461) * 6176", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7181, \"b\": 9754, \"c\": 68562, \"d\": -67461, \"e\": 6176}", "seed": "14630088046841383636", "semantic_fingerprint": "sha256:f409bf687151231c99978ae45d81cbe9420d1e4c29bfbce37cd7c17250b7e871", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006174", "prompt": "Evaluate: 8854 / (-6859)", "solution_steps": ["Divide: 8854 / (-6859) = -466/361"], "final_answer": "-466/361", "answer_type": "rational", "kind": "expression", "math_text": "8854 / (-6859)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8854, \"b\": -6859}", "seed": "12895980706986511776", "semantic_fingerprint": "sha256:67de2a1763bf0e46faf419aad1dabe6c19d7cc5abc777886ed2539aaad06d637", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006175", "prompt": "Evaluate: 6651 * (-5349)", "solution_steps": ["Multiply: 6651 * (-5349) = -35576199"], "final_answer": "-35576199", "answer_type": "integer", "kind": "expression", "math_text": "6651 * (-5349)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6651, \"b\": -5349}", "seed": "14059884693790499595", "semantic_fingerprint": "sha256:f8658b9e060eaed159042932f8e8fb7028f156e15a6cc6c5b0ada029cc58e0d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006176", "prompt": "Calculate: -3997 * (-7085) / (-38268)", "solution_steps": ["Multiply: -3997 * (-7085) = 28318745", "Divide: 28318745 / (-38268) = -28318745/38268"], "final_answer": "-28318745/38268", "answer_type": "rational", "kind": "expression", "math_text": "-3997 * (-7085) / (-38268)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3997, \"b\": -7085, \"c\": -38268}", "seed": "10384309088733785462", "semantic_fingerprint": "sha256:48d3794d44b347ce1e7cbf579b13b524589c90acd76f8f0a7b73a3ac5fe47c6d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006177", "prompt": "Solve the equation 26x + 28139 = 20(x + 6655) - 97145 for x.", "solution_steps": ["Expand: 26x + 28139 = 20x + 133100 - 97145", "Combine constants: 26x + 28139 = 20x + 35955", "Subtract 20x from both sides: 6x + 28139 = 35955", "Subtract 28139 from both sides: 6x = 7816", "Divide both sides by 6: x = 3908/3"], "final_answer": "3908/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 28139 = 20(x + 6655) - 97145", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 28139, \"c\": 20, \"d\": 6655, \"e\": 97145}", "seed": "12434168016740294848", "semantic_fingerprint": "sha256:317d8ce315fe04c00abdbf760f572b540fa6d86eae9b16b3bb5cb8dda2aa9485", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006178", "prompt": "Compute: -65854 - 47155", "solution_steps": ["Subtract: -65854 - 47155 = -113009"], "final_answer": "-113009", "answer_type": "integer", "kind": "expression", "math_text": "-65854 - 47155", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -65854, \"b\": 47155}", "seed": "5636564160862581065", "semantic_fingerprint": "sha256:7eb3627a21f5ee88b552d73683dd69a8f5ca6afd52cf9851e4e7a16150f0418b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006179", "prompt": "Compute: 7860 / 84147 + (-9222 - 9119)", "solution_steps": ["Divide: 7860 / 84147 = 2620/28049", "Subtract: -9222 - 9119 = -18341", "Add: 2620/28049 + (-18341) = -514444089/28049"], "final_answer": "-514444089/28049", "answer_type": "rational", "kind": "expression", "math_text": "7860 / 84147 + (-9222 - 9119)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7860, \"b\": 84147, \"c\": -9222, \"d\": 9119}", "seed": "2893422987692605185", "semantic_fingerprint": "sha256:5b55fdefca29baa89fa378eea4d353efd8aac376362d8c86a99d95a3888c8702", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006180", "prompt": "Find x: 28(x - 1016) = x + 72521", "solution_steps": ["Expand: 28x - 28448 = x + 72521", "Subtract x from both sides: 27x - 28448 = 72521", "Add 28448 to both sides: 27x = 100969", "Divide both sides by 27: x = 100969/27"], "final_answer": "100969/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 1016) = x + 72521", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1016, \"c\": 72521}", "seed": "419557186860301872", "semantic_fingerprint": "sha256:92a865a14278c265b79c54ac569619aa928bec3358d12b8bb7ae50ae4f4ca609", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006181", "prompt": "Solve for x: 16(x + 5162) - 2985 = 29(x - 9676) + 64762", "solution_steps": ["Expand: 16x + 82592 - 2985 = 29(x - 9676) + 64762", "Expand: 16x + 82592 - 2985 = 29x - 280604 + 64762", "Combine constants: 16x + 79607 = 29x - 280604 + 64762", "Combine constants: 16x + 79607 = 29x - 215842", "Subtract 29x from both sides: -13x + 79607 = -215842", "Subtract 79607 from both sides: -13x = -295449", "Divide both sides by -13: x = 295449/13"], "final_answer": "295449/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 5162) - 2985 = 29(x - 9676) + 64762", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5162, \"c\": 2985, \"d\": 29, \"e\": 9676, \"f\": 64762}", "seed": "3197217171775687173", "semantic_fingerprint": "sha256:c59e41ff7fb96df6b7694b5998513e990326429f1a317937db3442eaed079481", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006182", "prompt": "Evaluate: -86450 - (-3777 - (-7706))", "solution_steps": ["Subtract: -3777 - (-7706) = 3929", "Subtract: -86450 - 3929 = -90379"], "final_answer": "-90379", "answer_type": "integer", "kind": "expression", "math_text": "-86450 - (-3777 - (-7706))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86450, \"b\": -3777, \"c\": -7706}", "seed": "729265270541088032", "semantic_fingerprint": "sha256:8f6ae1f8d1c8a2d2d3b59680ec6d8a3b1fce58eaa4c24bc99e5dcca1faa93c1b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006183", "prompt": "Solve the equation -19(x + 1004) + 49905 = 35(x + 8179) + 7721 for x.", "solution_steps": ["Expand: -19x - 19076 + 49905 = 35(x + 8179) + 7721", "Expand: -19x - 19076 + 49905 = 35x + 286265 + 7721", "Combine constants: -19x + 30829 = 35x + 286265 + 7721", "Combine constants: -19x + 30829 = 35x + 293986", "Subtract 35x from both sides: -54x + 30829 = 293986", "Subtract 30829 from both sides: -54x = 263157", "Divide both sides by -54: x = -87719/18"], "final_answer": "-87719/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 1004) + 49905 = 35(x + 8179) + 7721", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1004, \"c\": 49905, \"d\": 35, \"e\": 8179, \"f\": 7721}", "seed": "5404889067412221425", "semantic_fingerprint": "sha256:06328c465f7400a21fda0b8dbd22335b75ef121c78955fdc0c443c842668cfa6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006184", "prompt": "Calculate: -7547 * (-2603) / (-88157)", "solution_steps": ["Multiply: -7547 * (-2603) = 19644841", "Divide: 19644841 / (-88157) = -19644841/88157"], "final_answer": "-19644841/88157", "answer_type": "rational", "kind": "expression", "math_text": "-7547 * (-2603) / (-88157)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7547, \"b\": -2603, \"c\": -88157}", "seed": "17211273414820380225", "semantic_fingerprint": "sha256:f3482bb8fc252d5f17fa2c6e4fd7f548270a707f6e290d2e75749d2908a1e4ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006185", "prompt": "Evaluate: 8770 / 8927", "solution_steps": ["Divide: 8770 / 8927 = 8770/8927"], "final_answer": "8770/8927", "answer_type": "rational", "kind": "expression", "math_text": "8770 / 8927", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8770, \"b\": 8927}", "seed": "9775748813168504346", "semantic_fingerprint": "sha256:b03fbc36d804930d04b86fff67469f6910f6786ae5e73d011edcc449730c2e44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006186", "prompt": "Find x: 39x = 32(x - 3468)", "solution_steps": ["Expand: 39x = 32x - 110976", "Subtract 32x from both sides: 7x = -110976", "Divide both sides by 7: x = -110976/7"], "final_answer": "-110976/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x = 32(x - 3468)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 32, \"c\": 3468}", "seed": "15136115662982263727", "semantic_fingerprint": "sha256:09bad89e752584943a5c257df5859b596ff7eb66ff3c72ffb68759130d8f06a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006187", "prompt": "Find x: x + 11395 = -33x + 51206", "solution_steps": ["Add 33x to both sides: 34x + 11395 = 51206", "Subtract 11395 from both sides: 34x = 39811", "Divide both sides by 34: x = 39811/34"], "final_answer": "39811/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 11395 = -33x + 51206", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 11395, \"b\": -33, \"c\": 51206}", "seed": "9423354283608024984", "semantic_fingerprint": "sha256:3ed409f958df91a9d2e455d78e4ca2d3b3e55e6b99717097842d9037327057e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006188", "prompt": "Compute: 4616 * (-27419 + (6249 - 57969))", "solution_steps": ["Subtract: 6249 - 57969 = -51720", "Add: -27419 + (-51720) = -79139", "Multiply: 4616 * (-79139) = -365305624"], "final_answer": "-365305624", "answer_type": "integer", "kind": "expression", "math_text": "4616 * (-27419 + (6249 - 57969))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4616, \"b\": -27419, \"c\": 6249, \"d\": 57969}", "seed": "6642916564548422869", "semantic_fingerprint": "sha256:24a1af9055567a3767735cbe405db28a5f52abda94ca9a65edbd67a40b8a9c8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006189", "prompt": "Compute: -1978 - (-36102) / (-57928)", "solution_steps": ["Divide: -36102 / (-57928) = 18051/28964", "Subtract: -1978 - 18051/28964 = -57308843/28964"], "final_answer": "-57308843/28964", "answer_type": "rational", "kind": "expression", "math_text": "-1978 - (-36102) / (-57928)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1978, \"b\": -36102, \"c\": -57928}", "seed": "18260994652106710621", "semantic_fingerprint": "sha256:701e63ae3f4abca73ab1444b5794ac7c90980477f02e266b7c0cf62d20949f27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006190", "prompt": "Calculate: 3169 / 8564", "solution_steps": ["Divide: 3169 / 8564 = 3169/8564"], "final_answer": "3169/8564", "answer_type": "rational", "kind": "expression", "math_text": "3169 / 8564", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3169, \"b\": 8564}", "seed": "1499041973658941228", "semantic_fingerprint": "sha256:060699ffcf8e6e31968f3fd4d5ee8c5b41af46f97145e5047e5462bb9bc850d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006191", "prompt": "Compute: -77767 - (2850 / (5306 - (-3674)) - (-2412 + (-3466)))", "solution_steps": ["Subtract: 5306 - (-3674) = 8980", "Divide: 2850 / 8980 = 285/898", "Add: -2412 + (-3466) = -5878", "Subtract: 285/898 - (-5878) = 5278729/898", "Subtract: -77767 - 5278729/898 = -75113495/898"], "final_answer": "-75113495/898", "answer_type": "rational", "kind": "expression", "math_text": "-77767 - (2850 / (5306 - (-3674)) - (-2412 + (-3466)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n (- n n)) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -77767, \"b\": 2850, \"c\": 5306, \"d\": -3674, \"e\": -2412, \"f\": -3466}", "seed": "749829558443083026", "semantic_fingerprint": "sha256:2215a1c8dff037ac1a8425c12cb6392310a7095276bdd235639878f4c24af1b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006192", "prompt": "What is -4659 * (-5030)?", "solution_steps": ["Multiply: -4659 * (-5030) = 23434770"], "final_answer": "23434770", "answer_type": "integer", "kind": "expression", "math_text": "-4659 * (-5030)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4659, \"b\": -5030}", "seed": "3813469503784475860", "semantic_fingerprint": "sha256:5557d0d6496dc2f8d72dedf1f12800e0a74bb78225dda5dfcce831f4f2a14f74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006193", "prompt": "Calculate: -8993 - (-35384)", "solution_steps": ["Subtract: -8993 - (-35384) = 26391"], "final_answer": "26391", "answer_type": "integer", "kind": "expression", "math_text": "-8993 - (-35384)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8993, \"b\": -35384}", "seed": "4692927307046399366", "semantic_fingerprint": "sha256:9d87dc5d908aff2bc426a6a6e77101772e022b982a28da02d63912f278f67a83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006194", "prompt": "Compute: -6493 / (-25624 + (-26758) - (-91552))", "solution_steps": ["Add: -25624 + (-26758) = -52382", "Subtract: -52382 - (-91552) = 39170", "Divide: -6493 / 39170 = -6493/39170"], "final_answer": "-6493/39170", "answer_type": "rational", "kind": "expression", "math_text": "-6493 / (-25624 + (-26758) - (-91552))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6493, \"b\": -25624, \"c\": -26758, \"d\": -91552}", "seed": "1998635966336118519", "semantic_fingerprint": "sha256:24a25a35587c049a9bacb4e1bbbc2dfb8d7f0f54672de62da103fbde790a4c96", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006195", "prompt": "Solve the equation 14x = -28(x - 2966) - 5068 for x.", "solution_steps": ["Expand: 14x = -28x + 83048 - 5068", "Combine constants: 14x = -28x + 77980", "Add 28x to both sides: 42x = 77980", "Divide both sides by 42: x = 5570/3"], "final_answer": "5570/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x = -28(x - 2966) - 5068", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": -28, \"c\": 2966, \"d\": 5068}", "seed": "8361986129573146930", "semantic_fingerprint": "sha256:4906d532ded8567d5e45a1391346ab2de2d07ca1b718e7645a08b76226366088", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006196", "prompt": "Compute: 4227 / (-2837 - (-6720))", "solution_steps": ["Subtract: -2837 - (-6720) = 3883", "Divide: 4227 / 3883 = 4227/3883"], "final_answer": "4227/3883", "answer_type": "rational", "kind": "expression", "math_text": "4227 / (-2837 - (-6720))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4227, \"b\": -2837, \"c\": -6720}", "seed": "1957689426583261177", "semantic_fingerprint": "sha256:fdf63b6d575323deb5a573668c55dd1919fb76f35a64de7937b2b53ea6f28a4d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006197", "prompt": "Calculate: 6677 * 63090 / (-2130)", "solution_steps": ["Multiply: 6677 * 63090 = 421251930", "Divide: 421251930 / (-2130) = -14041731/71"], "final_answer": "-14041731/71", "answer_type": "rational", "kind": "expression", "math_text": "6677 * 63090 / (-2130)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6677, \"b\": 63090, \"c\": -2130}", "seed": "216385015251666072", "semantic_fingerprint": "sha256:3a6fc8eb485792f78bdd93ca410f733d05dae2b5eb0d29168e7a3fadef3e8c77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006198", "prompt": "Solve the equation 29x = 32x + 5817 for x.", "solution_steps": ["Subtract 32x from both sides: -3x = 5817", "Divide both sides by -3: x = -1939"], "final_answer": "-1939", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = 32x + 5817", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 32, \"c\": 5817}", "seed": "10779821176151707299", "semantic_fingerprint": "sha256:e325f200872d2a31ea9269c3a66cd96a77ee9a273e1c513e9ce59dd8bb0a6f35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006199", "prompt": "Calculate: -4888 / 91700 - (-4630)", "solution_steps": ["Divide: -4888 / 91700 = -1222/22925", "Subtract: -1222/22925 - (-4630) = 106141528/22925"], "final_answer": "106141528/22925", "answer_type": "rational", "kind": "expression", "math_text": "-4888 / 91700 - (-4630)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4888, \"b\": 91700, \"c\": -4630}", "seed": "7160576058053061980", "semantic_fingerprint": "sha256:b2fcdd751f9d4c812ef443d2e24a099be9fa13e56ec880abfc204e414f745e90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006200", "prompt": "Compute: (-4807 + 34980) * (48345 / (-2796))", "solution_steps": ["Add: -4807 + 34980 = 30173", "Divide: 48345 / (-2796) = -16115/932", "Multiply: 30173 * (-16115/932) = -486237895/932"], "final_answer": "-486237895/932", "answer_type": "rational", "kind": "expression", "math_text": "(-4807 + 34980) * (48345 / (-2796))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4807, \"b\": 34980, \"c\": 48345, \"d\": -2796}", "seed": "8892786674712228782", "semantic_fingerprint": "sha256:3640803a466f3ce00592d9f18787de58c4eb223ed98895c51cd8def1d0758b9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006201", "prompt": "Evaluate: -4474 - 16584", "solution_steps": ["Subtract: -4474 - 16584 = -21058"], "final_answer": "-21058", "answer_type": "integer", "kind": "expression", "math_text": "-4474 - 16584", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4474, \"b\": 16584}", "seed": "15645604771923873323", "semantic_fingerprint": "sha256:12a0b55295c9aa20e251c53e5f82631647033e3308fc8b2065232e9059dd3dad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006202", "prompt": "Calculate: -19138 * (-16129)", "solution_steps": ["Multiply: -19138 * (-16129) = 308676802"], "final_answer": "308676802", "answer_type": "integer", "kind": "expression", "math_text": "-19138 * (-16129)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -19138, \"b\": -16129}", "seed": "13945444236858403937", "semantic_fingerprint": "sha256:57ff1cbedb13da798395389437f8d49a827590af243c757e479a210fa2d50e9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006203", "prompt": "Evaluate: 41708 - (-8083)", "solution_steps": ["Subtract: 41708 - (-8083) = 49791"], "final_answer": "49791", "answer_type": "integer", "kind": "expression", "math_text": "41708 - (-8083)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 41708, \"b\": -8083}", "seed": "8127860348490256059", "semantic_fingerprint": "sha256:9fa5a4a968e02ad87a30087b87e830d803bb28056dc2af381584a2ca1203f205", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006204", "prompt": "What is -2703 - 3138 + (-8826 - (-3182) / (-15282) * 15030)?", "solution_steps": ["Subtract: -2703 - 3138 = -5841", "Divide: -3182 / (-15282) = 1591/7641", "Multiply: (1591/7641) * 15030 = 2656970/849", "Subtract: -8826 - 2656970/849 = -10150244/849", "Add: -5841 + (-10150244/849) = -15109253/849"], "final_answer": "-15109253/849", "answer_type": "rational", "kind": "expression", "math_text": "-2703 - 3138 + (-8826 - (-3182) / (-15282) * 15030)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (* (/ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2703, \"b\": 3138, \"c\": -8826, \"d\": -3182, \"e\": -15282, \"f\": 15030}", "seed": "1122424723024319181", "semantic_fingerprint": "sha256:001d8a7e62bd3b8b1ed595fb697a3cf110ed6fa6b9da6c01e465c14bf845e4e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006205", "prompt": "What value of x satisfies 40(x + 1568) - 56441 = x?", "solution_steps": ["Expand: 40x + 62720 - 56441 = x", "Combine constants: 40x + 6279 = x", "Subtract x from both sides: 39x + 6279 = 0", "Subtract 6279 from both sides: 39x = -6279", "Divide both sides by 39: x = -161"], "final_answer": "-161", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x + 1568) - 56441 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1568, \"d\": -56441, \"x\": -161}", "seed": "16139605734839559171", "semantic_fingerprint": "sha256:533c7a8e5af40dfddeda504e4e2f7852fe1018a9fb32032735221dd1c5e113d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006206", "prompt": "Solve the equation x = 14(x + 5586) - 80687 for x.", "solution_steps": ["Expand: x = 14x + 78204 - 80687", "Combine constants: x = 14x - 2483", "Subtract 14x from both sides: -13x = -2483", "Divide both sides by -13: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14(x + 5586) - 80687", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5586, \"d\": -80687, \"x\": 191}", "seed": "5207515960676772272", "semantic_fingerprint": "sha256:89aba50d064267aa4856fe072413646b1263c02c1fb49ab829725238dd077c2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006207", "prompt": "Evaluate: 12209 / (-9339)", "solution_steps": ["Divide: 12209 / (-9339) = -12209/9339"], "final_answer": "-12209/9339", "answer_type": "rational", "kind": "expression", "math_text": "12209 / (-9339)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12209, \"b\": -9339}", "seed": "9478523551356998311", "semantic_fingerprint": "sha256:616b53907e0e4c4a83871550c638c162d8fe5d7e99458b929013d78bf351b5c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006208", "prompt": "What value of x satisfies 22(x + 6017) - 99255 = 35x + 32404?", "solution_steps": ["Expand: 22x + 132374 - 99255 = 35x + 32404", "Combine constants: 22x + 33119 = 35x + 32404", "Subtract 35x from both sides: -13x + 33119 = 32404", "Subtract 33119 from both sides: -13x = -715", "Divide both sides by -13: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 6017) - 99255 = 35x + 32404", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6017, \"c\": 99255, \"d\": 35, \"f\": 32404, \"x\": 55}", "seed": "4591242416776578259", "semantic_fingerprint": "sha256:17708f168f084bd6b6cbd4b8e24c3e7a2476fcc110999ab2218df053b50e4f8a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006209", "prompt": "What is 9954 / 89261?", "solution_steps": ["Divide: 9954 / 89261 = 9954/89261"], "final_answer": "9954/89261", "answer_type": "rational", "kind": "expression", "math_text": "9954 / 89261", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9954, \"b\": 89261}", "seed": "8300032828456792546", "semantic_fingerprint": "sha256:6117b4c99516d0eb0c1db8fc0368b2b216e309939287086be26d4194ab084838", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006210", "prompt": "Evaluate: 77966 + 11695 / (-5686)", "solution_steps": ["Divide: 11695 / (-5686) = -11695/5686", "Add: 77966 + (-11695/5686) = 443302981/5686"], "final_answer": "443302981/5686", "answer_type": "rational", "kind": "expression", "math_text": "77966 + 11695 / (-5686)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77966, \"b\": 11695, \"c\": -5686}", "seed": "5393341863024319330", "semantic_fingerprint": "sha256:11a1041773225393d29a01f97e86ff6f2bce1f56e501e4ee3c93c9986560fa06", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006211", "prompt": "Compute: 1675 / (-5992 / (-1992)) - (-9606 + (-7975))", "solution_steps": ["Divide: -5992 / (-1992) = 749/249", "Divide: 1675 / (749/249) = 417075/749", "Add: -9606 + (-7975) = -17581", "Subtract: 417075/749 - (-17581) = 13585244/749"], "final_answer": "13585244/749", "answer_type": "rational", "kind": "expression", "math_text": "1675 / (-5992 / (-1992)) - (-9606 + (-7975))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1675, \"b\": -5992, \"c\": -1992, \"d\": -9606, \"e\": -7975}", "seed": "2564281798997626055", "semantic_fingerprint": "sha256:14b5e9c10b297f61dfb9c03e7329747b6a2844d9c405cb6569edfff38770f497", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006212", "prompt": "Compute: -98730 / 1267", "solution_steps": ["Divide: -98730 / 1267 = -98730/1267"], "final_answer": "-98730/1267", "answer_type": "rational", "kind": "expression", "math_text": "-98730 / 1267", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98730, \"b\": 1267}", "seed": "11257551572443082121", "semantic_fingerprint": "sha256:1f48f2edcdcd3281f2e6a557bd6123506e69f94506cf3be3d14d7b384372af86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006213", "prompt": "Find x: 22x = -19(x + 6372)", "solution_steps": ["Expand: 22x = -19x - 121068", "Add 19x to both sides: 41x = -121068", "Divide both sides by 41: x = -121068/41"], "final_answer": "-121068/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x = -19(x + 6372)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": -19, \"c\": 6372}", "seed": "4135548643925449254", "semantic_fingerprint": "sha256:3a8925fec1c7e83a6de947e6ba0687a41d72b9276f42b55657ae1a021afabae5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006214", "prompt": "Compute: -46256 * (-5909) - 23313", "solution_steps": ["Multiply: -46256 * (-5909) = 273326704", "Subtract: 273326704 - 23313 = 273303391"], "final_answer": "273303391", "answer_type": "integer", "kind": "expression", "math_text": "-46256 * (-5909) - 23313", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46256, \"b\": -5909, \"c\": 23313}", "seed": "2021194174707246871", "semantic_fingerprint": "sha256:d08e3916b7ba1f240ccfa6ea3fe2b3863449f8e04294be3e82d02e98a3b0aa2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006215", "prompt": "Calculate: 74806 - 70288", "solution_steps": ["Subtract: 74806 - 70288 = 4518"], "final_answer": "4518", "answer_type": "integer", "kind": "expression", "math_text": "74806 - 70288", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74806, \"b\": 70288}", "seed": "12987141988775194818", "semantic_fingerprint": "sha256:ca3184cf2c4c768484dd68468d88566959162b82f845260604bcede0f232abc3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006216", "prompt": "Solve the equation x - 2960 = -15x for x.", "solution_steps": ["Add 15x to both sides: 16x - 2960 = 0", "Add 2960 to both sides: 16x = 2960", "Divide both sides by 16: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2960 = -15x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15, \"c\": -2960, \"x\": 185}", "seed": "7817807063499950169", "semantic_fingerprint": "sha256:b469c233fa9a292ae50b2dede2866de9b77b033d9337f098dd37e6ed574129da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006217", "prompt": "Solve for x: x - 2670 = 17x - 5438", "solution_steps": ["Subtract 17x from both sides: -16x - 2670 = -5438", "Add 2670 to both sides: -16x = -2768", "Divide both sides by -16: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2670 = 17x - 5438", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2670, \"b\": 17, \"d\": -5438, \"x\": 173}", "seed": "14015620263855230842", "semantic_fingerprint": "sha256:6e83bffde78e0493e4d707cde1edb37608564b64fe058b3b4a37a70e955c9702", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006218", "prompt": "Calculate: 3748 + 51173 + 8288 * (-45977)", "solution_steps": ["Add: 3748 + 51173 = 54921", "Multiply: 8288 * (-45977) = -381057376", "Add: 54921 + (-381057376) = -381002455"], "final_answer": "-381002455", "answer_type": "integer", "kind": "expression", "math_text": "3748 + 51173 + 8288 * (-45977)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3748, \"b\": 51173, \"c\": 8288, \"d\": -45977}", "seed": "16664605067668230501", "semantic_fingerprint": "sha256:17abaf471c0f30ff07cf105025bd8f146249a1a5d2587bafc151d48073d76974", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006219", "prompt": "Solve for x: 17(x - 5888) + 97440 = x", "solution_steps": ["Expand: 17x - 100096 + 97440 = x", "Combine constants: 17x - 2656 = x", "Subtract x from both sides: 16x - 2656 = 0", "Add 2656 to both sides: 16x = 2656", "Divide both sides by 16: x = 166"], "final_answer": "166", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 5888) + 97440 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5888, \"d\": 97440, \"x\": 166}", "seed": "2533343733757045207", "semantic_fingerprint": "sha256:34507e3b84c0406c2a6b559f9bf2f165c7e263be3e8405b248fe90bec84aaf91", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006220", "prompt": "Evaluate: -6499 / 78427", "solution_steps": ["Divide: -6499 / 78427 = -6499/78427"], "final_answer": "-6499/78427", "answer_type": "rational", "kind": "expression", "math_text": "-6499 / 78427", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6499, \"b\": 78427}", "seed": "14514441276310409616", "semantic_fingerprint": "sha256:fcd9c9f624f59e32e9cd2c959f72574616afde0044ff2aedb5e979658dc03d19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006221", "prompt": "Calculate: -9260 * (-2844 * 21392)", "solution_steps": ["Multiply: -2844 * 21392 = -60838848", "Multiply: -9260 * (-60838848) = 563367732480"], "final_answer": "563367732480", "answer_type": "integer", "kind": "expression", "math_text": "-9260 * (-2844 * 21392)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9260, \"b\": -2844, \"c\": 21392}", "seed": "8001014687299649907", "semantic_fingerprint": "sha256:1baef2eb518a99d4bf7cf2547b8a9c4d869bf7802b9b630f368dbd6642f3d82e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006222", "prompt": "Solve for x: x - 16942 = 36x - 19567", "solution_steps": ["Subtract 36x from both sides: -35x - 16942 = -19567", "Add 16942 to both sides: -35x = -2625", "Divide both sides by -35: x = 75"], "final_answer": "75", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 16942 = 36x - 19567", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16942, \"b\": 36, \"d\": -19567, \"x\": 75}", "seed": "14212082070132887997", "semantic_fingerprint": "sha256:dfe2ae566363d9d2fb0267d6d97b53cb31e505a49f7c27a0b6c15078e14e8eb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006223", "prompt": "What is 5089 - 3639 - 1227 * (1417 / 2472)?", "solution_steps": ["Subtract: 5089 - 3639 = 1450", "Divide: 1417 / 2472 = 1417/2472", "Multiply: 1227 * (1417/2472) = 579553/824", "Subtract: 1450 - 579553/824 = 615247/824"], "final_answer": "615247/824", "answer_type": "rational", "kind": "expression", "math_text": "5089 - 3639 - 1227 * (1417 / 2472)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5089, \"b\": 3639, \"c\": 1227, \"d\": 1417, \"e\": 2472}", "seed": "11790234416355622249", "semantic_fingerprint": "sha256:362a42338433d527d94dda33380c789c0eba38dc45eca81b49beb84359013348", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006224", "prompt": "Solve for x: x - 81181 = -81303", "solution_steps": ["Add 81181 to both sides: x = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 81181 = -81303", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81181, \"c\": -81303, \"x\": -122}", "seed": "15351680339493002932", "semantic_fingerprint": "sha256:02c9012b629abd9c11f36561094be5d8a73713b357839361f67c155310bebd75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006225", "prompt": "Evaluate: -8014 / 3568 * 13217", "solution_steps": ["Divide: -8014 / 3568 = -4007/1784", "Multiply: (-4007/1784) * 13217 = -52960519/1784"], "final_answer": "-52960519/1784", "answer_type": "rational", "kind": "expression", "math_text": "-8014 / 3568 * 13217", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8014, \"b\": 3568, \"c\": 13217}", "seed": "10239636869080040898", "semantic_fingerprint": "sha256:29c847738def3eff10efca8c337e44a05f6eda4e96e69194fd03f2f94a13159a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006226", "prompt": "What is -76292 * (9523 + (-45743))?", "solution_steps": ["Add: 9523 + (-45743) = -36220", "Multiply: -76292 * (-36220) = 2763296240"], "final_answer": "2763296240", "answer_type": "integer", "kind": "expression", "math_text": "-76292 * (9523 + (-45743))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76292, \"b\": 9523, \"c\": -45743}", "seed": "12636399316063437701", "semantic_fingerprint": "sha256:20d8304e7b547cc6277dfb7e693a21300b6b93f02c25af70a3a31e3784a2c0e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006227", "prompt": "Calculate: (5446 - (-10316) + (-44773) * (-8111)) / 1938", "solution_steps": ["Subtract: 5446 - (-10316) = 15762", "Multiply: -44773 * (-8111) = 363153803", "Add: 15762 + 363153803 = 363169565", "Divide: 363169565 / 1938 = 363169565/1938"], "final_answer": "363169565/1938", "answer_type": "rational", "kind": "expression", "math_text": "(5446 - (-10316) + (-44773) * (-8111)) / 1938", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5446, \"b\": -10316, \"c\": -44773, \"d\": -8111, \"e\": 1938}", "seed": "11283976699594115006", "semantic_fingerprint": "sha256:125abe69a76e345c962b8e3ee7636e3e0b65c10cc97af4709be0b50e8addcbd3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006228", "prompt": "Evaluate: (-2768 + 1298) * (-98530)", "solution_steps": ["Add: -2768 + 1298 = -1470", "Multiply: -1470 * (-98530) = 144839100"], "final_answer": "144839100", "answer_type": "integer", "kind": "expression", "math_text": "(-2768 + 1298) * (-98530)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2768, \"b\": 1298, \"c\": -98530}", "seed": "17594049959374275759", "semantic_fingerprint": "sha256:ff1ed8ae8f4d1de519eccea7f387b90fa541ab7a736a7865cf80064317b8f1c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006229", "prompt": "Evaluate: (7857 + (-9812)) * 8618", "solution_steps": ["Add: 7857 + (-9812) = -1955", "Multiply: -1955 * 8618 = -16848190"], "final_answer": "-16848190", "answer_type": "integer", "kind": "expression", "math_text": "(7857 + (-9812)) * 8618", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7857, \"b\": -9812, \"c\": 8618}", "seed": "15675311932635647363", "semantic_fingerprint": "sha256:060363ef7949b4abeae2b9b88f2f7d7f5d9838b7d9c54e2896a9c6d424163089", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006230", "prompt": "Find x: 34(x + 1240) - 2493 = -17(x + 75832) - 5776", "solution_steps": ["Expand: 34x + 42160 - 2493 = -17(x + 75832) - 5776", "Expand: 34x + 42160 - 2493 = -17x - 1289144 - 5776", "Combine constants: 34x + 39667 = -17x - 1289144 - 5776", "Combine constants: 34x + 39667 = -17x - 1294920", "Add 17x to both sides: 51x + 39667 = -1294920", "Subtract 39667 from both sides: 51x = -1334587", "Divide both sides by 51: x = -1334587/51"], "final_answer": "-1334587/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 1240) - 2493 = -17(x + 75832) - 5776", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 1240, \"c\": 2493, \"d\": -17, \"e\": 75832, \"f\": 5776}", "seed": "10165501259166950056", "semantic_fingerprint": "sha256:c043136dd842266cb5ee7725f73a9a2b70edfd26a9459ae127fdd1bc5b811060", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006231", "prompt": "What is (6027 - (-9800 - 7791)) * (-8044 - (-98985 - (-6550)))?", "solution_steps": ["Subtract: -9800 - 7791 = -17591", "Subtract: 6027 - (-17591) = 23618", "Subtract: -98985 - (-6550) = -92435", "Subtract: -8044 - (-92435) = 84391", "Multiply: 23618 * 84391 = 1993146638"], "final_answer": "1993146638", "answer_type": "integer", "kind": "expression", "math_text": "(6027 - (-9800 - 7791)) * (-8044 - (-98985 - (-6550)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n n)) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6027, \"b\": -9800, \"c\": 7791, \"d\": -8044, \"e\": -98985, \"f\": -6550}", "seed": "3909347709601005650", "semantic_fingerprint": "sha256:028245f0f108520a333713a00cfdd199d1538772ae17826efda9cb30eebd2c25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006232", "prompt": "Compute: -6222 / 7057 + (-27398)", "solution_steps": ["Divide: -6222 / 7057 = -6222/7057", "Add: -6222/7057 + (-27398) = -193353908/7057"], "final_answer": "-193353908/7057", "answer_type": "rational", "kind": "expression", "math_text": "-6222 / 7057 + (-27398)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6222, \"b\": 7057, \"c\": -27398}", "seed": "16508279310745450551", "semantic_fingerprint": "sha256:ea2bc106f301d4257d5eff339b3c6d65e28cec0ed0a6bceb34e345777c131eec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006233", "prompt": "Compute: -45159 + 29357", "solution_steps": ["Add: -45159 + 29357 = -15802"], "final_answer": "-15802", "answer_type": "integer", "kind": "expression", "math_text": "-45159 + 29357", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -45159, \"b\": 29357}", "seed": "429997253484516647", "semantic_fingerprint": "sha256:880d149ee4d77879cb32a85c20829918f88316cc923df7bfb10c6349412e8e63", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006234", "prompt": "Solve the equation 31(x + 41458) + 75148 = -17(x - 31929) for x.", "solution_steps": ["Expand: 31x + 1285198 + 75148 = -17(x - 31929)", "Expand: 31x + 1285198 + 75148 = -17x + 542793", "Combine constants: 31x + 1360346 = -17x + 542793", "Add 17x to both sides: 48x + 1360346 = 542793", "Subtract 1360346 from both sides: 48x = -817553", "Divide both sides by 48: x = -817553/48"], "final_answer": "-817553/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 41458) + 75148 = -17(x - 31929)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 41458, \"c\": 75148, \"d\": -17, \"e\": 31929}", "seed": "13693300862509370207", "semantic_fingerprint": "sha256:9a888505415d859b0c37437ff91cc45aa7465c78f698bf15a8c5a08c5947036c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006235", "prompt": "What is 67759 - (-2822) - (8567 + 32210) + 8742?", "solution_steps": ["Subtract: 67759 - (-2822) = 70581", "Add: 8567 + 32210 = 40777", "Subtract: 70581 - 40777 = 29804", "Add: 29804 + 8742 = 38546"], "final_answer": "38546", "answer_type": "integer", "kind": "expression", "math_text": "67759 - (-2822) - (8567 + 32210) + 8742", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 67759, \"b\": -2822, \"c\": 8567, \"d\": 32210, \"e\": 8742}", "seed": "797169621966029821", "semantic_fingerprint": "sha256:354359c3916a4cc24c6bb75af552764b06666ecf1c42a8454754b181e0b7e3fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006236", "prompt": "Calculate: -27032 + (-39559) + (-8400 + (9578 - 7089))", "solution_steps": ["Add: -27032 + (-39559) = -66591", "Subtract: 9578 - 7089 = 2489", "Add: -8400 + 2489 = -5911", "Add: -66591 + (-5911) = -72502"], "final_answer": "-72502", "answer_type": "integer", "kind": "expression", "math_text": "-27032 + (-39559) + (-8400 + (9578 - 7089))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27032, \"b\": -39559, \"c\": -8400, \"d\": 9578, \"e\": 7089}", "seed": "3693873594461310154", "semantic_fingerprint": "sha256:0a5511b6a501fb9f74d1acba21809b6a6558b83c755b2da9fc561576dca24a0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006237", "prompt": "Evaluate: 2855 - (-6437) * (-2844) / (-56009) - (-66997)", "solution_steps": ["Multiply: -6437 * (-2844) = 18306828", "Divide: 18306828 / (-56009) = -18306828/56009", "Subtract: 2855 - (-18306828/56009) = 178212523/56009", "Subtract: 178212523/56009 - (-66997) = 3930647496/56009"], "final_answer": "3930647496/56009", "answer_type": "rational", "kind": "expression", "math_text": "2855 - (-6437) * (-2844) / (-56009) - (-66997)", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2855, \"b\": -6437, \"c\": -2844, \"d\": -56009, \"e\": -66997}", "seed": "18074410988904704741", "semantic_fingerprint": "sha256:c0451c0546af09aa137a9d3cbc252f595394dfe19f2d4890ab31deffc652c460", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006238", "prompt": "Compute: 26057 / (-3465) - (-1464)", "solution_steps": ["Divide: 26057 / (-3465) = -26057/3465", "Subtract: -26057/3465 - (-1464) = 5046703/3465"], "final_answer": "5046703/3465", "answer_type": "rational", "kind": "expression", "math_text": "26057 / (-3465) - (-1464)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26057, \"b\": -3465, \"c\": -1464}", "seed": "13958815460271594683", "semantic_fingerprint": "sha256:fe3b53459e5f3aba580226eb6a91bb911ffd1831cf73005d2a2be298fccee395", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006239", "prompt": "Evaluate: 64401 + ((-30950 - 6709) * 71922 + 10763)", "solution_steps": ["Subtract: -30950 - 6709 = -37659", "Multiply: -37659 * 71922 = -2708510598", "Add: -2708510598 + 10763 = -2708499835", "Add: 64401 + (-2708499835) = -2708435434"], "final_answer": "-2708435434", "answer_type": "integer", "kind": "expression", "math_text": "64401 + ((-30950 - 6709) * 71922 + 10763)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 64401, \"b\": -30950, \"c\": 6709, \"d\": 71922, \"e\": 10763}", "seed": "17050920748383086357", "semantic_fingerprint": "sha256:3bc6fba62529977dee356b196e33d8e8ab9ce2e7f18f90c8664ade3e8031b187", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006240", "prompt": "Compute: -9285 * (93010 - 1780 - (-4787))", "solution_steps": ["Subtract: 93010 - 1780 = 91230", "Subtract: 91230 - (-4787) = 96017", "Multiply: -9285 * 96017 = -891517845"], "final_answer": "-891517845", "answer_type": "integer", "kind": "expression", "math_text": "-9285 * (93010 - 1780 - (-4787))", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9285, \"b\": 93010, \"c\": 1780, \"d\": -4787}", "seed": "3353985381089265931", "semantic_fingerprint": "sha256:051c852f940701be92c03a71f2ebac46c2260f4f85cd0f4a18798c10c5e72719", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006241", "prompt": "Calculate: -43165 + (-5934 + (-8693)) * 46925 - (-3058) * 61121", "solution_steps": ["Add: -5934 + (-8693) = -14627", "Multiply: -14627 * 46925 = -686371975", "Add: -43165 + (-686371975) = -686415140", "Multiply: -3058 * 61121 = -186908018", "Subtract: -686415140 - (-186908018) = -499507122"], "final_answer": "-499507122", "answer_type": "integer", "kind": "expression", "math_text": "-43165 + (-5934 + (-8693)) * 46925 - (-3058) * 61121", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -43165, \"b\": -5934, \"c\": -8693, \"d\": 46925, \"e\": -3058, \"f\": 61121}", "seed": "13321308720081562893", "semantic_fingerprint": "sha256:da804e4715f5719a33184f8a4cde313342b1445d62ce2a926755c7f734084e80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006242", "prompt": "Compute: -46278 - 7124", "solution_steps": ["Subtract: -46278 - 7124 = -53402"], "final_answer": "-53402", "answer_type": "integer", "kind": "expression", "math_text": "-46278 - 7124", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -46278, \"b\": 7124}", "seed": "7962024727149975553", "semantic_fingerprint": "sha256:2da3d8b62bd04d7da0253f53df8c67f89a5e76c4da9d879a388aa900dec32067", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006243", "prompt": "Calculate: -7591 * (7836 + 6381) * 1140", "solution_steps": ["Add: 7836 + 6381 = 14217", "Multiply: -7591 * 14217 = -107921247", "Multiply: -107921247 * 1140 = -123030221580"], "final_answer": "-123030221580", "answer_type": "integer", "kind": "expression", "math_text": "-7591 * (7836 + 6381) * 1140", "variable": null, "family": "expression_3op", "shape": "(* (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7591, \"b\": 7836, \"c\": 6381, \"d\": 1140}", "seed": "11932601351566696725", "semantic_fingerprint": "sha256:7d3e28fb431481d4b43f8f82d745e581fbabc484b4c60249e1cf9b5d73e5dbd6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006244", "prompt": "Compute: -5663 / 66552", "solution_steps": ["Divide: -5663 / 66552 = -5663/66552"], "final_answer": "-5663/66552", "answer_type": "rational", "kind": "expression", "math_text": "-5663 / 66552", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5663, \"b\": 66552}", "seed": "16884034090960178701", "semantic_fingerprint": "sha256:9abd1e5a34843587c8eb7d4884bfe6837340d2eca0788dee6fe54ca77282f05e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006245", "prompt": "Find x: 16(x + 9878) - 70217 = -30(x - 5967) - 86625", "solution_steps": ["Expand: 16x + 158048 - 70217 = -30(x - 5967) - 86625", "Expand: 16x + 158048 - 70217 = -30x + 179010 - 86625", "Combine constants: 16x + 87831 = -30x + 179010 - 86625", "Combine constants: 16x + 87831 = -30x + 92385", "Add 30x to both sides: 46x + 87831 = 92385", "Subtract 87831 from both sides: 46x = 4554", "Divide both sides by 46: x = 99"], "final_answer": "99", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 9878) - 70217 = -30(x - 5967) - 86625", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 9878, \"c\": 70217, \"d\": -30, \"e\": 5967, \"g\": -86625, \"x\": 99}", "seed": "17083479849692934149", "semantic_fingerprint": "sha256:01ea8cde2dfeecb03b98ba3d84593b2d434e0b1fbed8b29ed817cb0e115d15d8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006246", "prompt": "What is -92252 + 7676 - (23339 / 7584 - 92946)?", "solution_steps": ["Add: -92252 + 7676 = -84576", "Divide: 23339 / 7584 = 23339/7584", "Subtract: 23339/7584 - 92946 = -704879125/7584", "Subtract: -84576 - (-704879125/7584) = 63454741/7584"], "final_answer": "63454741/7584", "answer_type": "rational", "kind": "expression", "math_text": "-92252 + 7676 - (23339 / 7584 - 92946)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -92252, \"b\": 7676, \"c\": 23339, \"d\": 7584, \"e\": 92946}", "seed": "15822586699099496820", "semantic_fingerprint": "sha256:67bdf5e0ed7531f422cab66cd1aa16d9a0721d7e198199681c76f10e3a044f3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006247", "prompt": "What is 2954 / 5563 - 2794?", "solution_steps": ["Divide: 2954 / 5563 = 2954/5563", "Subtract: 2954/5563 - 2794 = -15540068/5563"], "final_answer": "-15540068/5563", "answer_type": "rational", "kind": "expression", "math_text": "2954 / 5563 - 2794", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2954, \"b\": 5563, \"c\": 2794}", "seed": "7714589341811435787", "semantic_fingerprint": "sha256:26c8b6f300bdc813f7c552910c8b87118a2186defe4576a9958ba4c3f34c5241", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006248", "prompt": "Compute: (-19164 + (-6651)) / (-4114) - (2416 - 16295)", "solution_steps": ["Add: -19164 + (-6651) = -25815", "Divide: -25815 / (-4114) = 25815/4114", "Subtract: 2416 - 16295 = -13879", "Subtract: 25815/4114 - (-13879) = 57124021/4114"], "final_answer": "57124021/4114", "answer_type": "rational", "kind": "expression", "math_text": "(-19164 + (-6651)) / (-4114) - (2416 - 16295)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19164, \"b\": -6651, \"c\": -4114, \"d\": 2416, \"e\": 16295}", "seed": "9437190033958996645", "semantic_fingerprint": "sha256:3fd446a69a6a747dc24f01e45b6aaac839e6d16d5a16f7f0e31a467f609757ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006249", "prompt": "Evaluate: -6778 / (-8235) - (-38272) - (8071 - (-9227 + (-14444)))", "solution_steps": ["Divide: -6778 / (-8235) = 6778/8235", "Subtract: 6778/8235 - (-38272) = 315176698/8235", "Add: -9227 + (-14444) = -23671", "Subtract: 8071 - (-23671) = 31742", "Subtract: 315176698/8235 - 31742 = 53781328/8235"], "final_answer": "53781328/8235", "answer_type": "rational", "kind": "expression", "math_text": "-6778 / (-8235) - (-38272) - (8071 - (-9227 + (-14444)))", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6778, \"b\": -8235, \"c\": -38272, \"d\": 8071, \"e\": -9227, \"f\": -14444}", "seed": "14043221208637262404", "semantic_fingerprint": "sha256:910d5bd686a164b11b1bacc15b89c1fc4353d29823e8cd94958132f73b135128", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006250", "prompt": "Evaluate: -21333 - (-5189 + (-94532))", "solution_steps": ["Add: -5189 + (-94532) = -99721", "Subtract: -21333 - (-99721) = 78388"], "final_answer": "78388", "answer_type": "integer", "kind": "expression", "math_text": "-21333 - (-5189 + (-94532))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21333, \"b\": -5189, \"c\": -94532}", "seed": "17877178473923058319", "semantic_fingerprint": "sha256:10e0fdc3e134002201e6dab1e2e2c0d26cc9d0041cdfa887c23e2eeaa2742158", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006251", "prompt": "Solve the equation 17(x + 5856) = 36x for x.", "solution_steps": ["Expand: 17x + 99552 = 36x", "Subtract 36x from both sides: -19x + 99552 = 0", "Subtract 99552 from both sides: -19x = -99552", "Divide both sides by -19: x = 99552/19"], "final_answer": "99552/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 5856) = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5856, \"c\": 36}", "seed": "490518325662029996", "semantic_fingerprint": "sha256:2b70c5049b7dbdee55034998d567602edd341f4b99f08a54eef636208e633552", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006252", "prompt": "Find x: -22(x - 58323) + 7071 = -35x - 5606", "solution_steps": ["Expand: -22x + 1283106 + 7071 = -35x - 5606", "Combine constants: -22x + 1290177 = -35x - 5606", "Add 35x to both sides: 13x + 1290177 = -5606", "Subtract 1290177 from both sides: 13x = -1295783", "Divide both sides by 13: x = -1295783/13"], "final_answer": "-1295783/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x - 58323) + 7071 = -35x - 5606", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 58323, \"c\": 7071, \"d\": -35, \"e\": 5606}", "seed": "4232458456854912407", "semantic_fingerprint": "sha256:41bfde76a1b7305afd5801b0d68607b314531a0547c5f6d0e13ba2aa09e9c7b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006253", "prompt": "Calculate: -1485 - 91913 - (3599 + (-46788)) - (-4870 + (-16693))", "solution_steps": ["Subtract: -1485 - 91913 = -93398", "Add: 3599 + (-46788) = -43189", "Subtract: -93398 - (-43189) = -50209", "Add: -4870 + (-16693) = -21563", "Subtract: -50209 - (-21563) = -28646"], "final_answer": "-28646", "answer_type": "integer", "kind": "expression", "math_text": "-1485 - 91913 - (3599 + (-46788)) - (-4870 + (-16693))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1485, \"b\": 91913, \"c\": 3599, \"d\": -46788, \"e\": -4870, \"f\": -16693}", "seed": "3052355254956922370", "semantic_fingerprint": "sha256:06b714d2fe3261cf816ac7f80890e93dbecefb7684fa00cba0a9dff0ebea5204", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006254", "prompt": "Compute: 6393 / (-5491) - (-78595 - (3025 + (-6773)))", "solution_steps": ["Divide: 6393 / (-5491) = -6393/5491", "Add: 3025 + (-6773) = -3748", "Subtract: -78595 - (-3748) = -74847", "Subtract: -6393/5491 - (-74847) = 410978484/5491"], "final_answer": "410978484/5491", "answer_type": "rational", "kind": "expression", "math_text": "6393 / (-5491) - (-78595 - (3025 + (-6773)))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6393, \"b\": -5491, \"c\": -78595, \"d\": 3025, \"e\": -6773}", "seed": "17981710265549031594", "semantic_fingerprint": "sha256:774500047d5aca128eb09d83f8a811dc367533a585339d029e2255d178242559", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006255", "prompt": "What value of x satisfies 22x + 5973 = 39(x + 1304) + 2531?", "solution_steps": ["Expand: 22x + 5973 = 39x + 50856 + 2531", "Combine constants: 22x + 5973 = 39x + 53387", "Subtract 39x from both sides: -17x + 5973 = 53387", "Subtract 5973 from both sides: -17x = 47414", "Divide both sides by -17: x = -47414/17"], "final_answer": "-47414/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x + 5973 = 39(x + 1304) + 2531", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5973, \"c\": 39, \"d\": 1304, \"e\": 2531}", "seed": "17604924153760281831", "semantic_fingerprint": "sha256:2b8ad06c77a47905c6149ede7e145b2c55aa3873d8fae2a7e0c93a7f6c0b0783", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006256", "prompt": "Solve the equation 32(x + 1934) = 40x + 7518 for x.", "solution_steps": ["Expand: 32x + 61888 = 40x + 7518", "Subtract 40x from both sides: -8x + 61888 = 7518", "Subtract 61888 from both sides: -8x = -54370", "Divide both sides by -8: x = 27185/4"], "final_answer": "27185/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 1934) = 40x + 7518", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1934, \"c\": 40, \"d\": 7518}", "seed": "2499797879950862578", "semantic_fingerprint": "sha256:8a67c19acdd6b17d74602b92ad5c55a4978595272a15b878068344a0f1db5697", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006257", "prompt": "Find x: 14(x + 90461) + 84069 = 22x - 6039", "solution_steps": ["Expand: 14x + 1266454 + 84069 = 22x - 6039", "Combine constants: 14x + 1350523 = 22x - 6039", "Subtract 22x from both sides: -8x + 1350523 = -6039", "Subtract 1350523 from both sides: -8x = -1356562", "Divide both sides by -8: x = 678281/4"], "final_answer": "678281/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 90461) + 84069 = 22x - 6039", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 90461, \"c\": 84069, \"d\": 22, \"e\": 6039}", "seed": "8858474092808964967", "semantic_fingerprint": "sha256:dbdd143ddeb0861ff73f9a1b33fb1ca5a13b1e513bbcae88049afccb6c764249", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006258", "prompt": "What is -2395 + (-79309) * 89697?", "solution_steps": ["Multiply: -79309 * 89697 = -7113779373", "Add: -2395 + (-7113779373) = -7113781768"], "final_answer": "-7113781768", "answer_type": "integer", "kind": "expression", "math_text": "-2395 + (-79309) * 89697", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2395, \"b\": -79309, \"c\": 89697}", "seed": "11735794695366536178", "semantic_fingerprint": "sha256:eedbfbe1fe6d1aa406185aa4e33e3a2057baf807d602f5e85ffed24e86baef29", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006259", "prompt": "Calculate: -1480 * (8468 * 6729 - (-99818 + 9766))", "solution_steps": ["Multiply: 8468 * 6729 = 56981172", "Add: -99818 + 9766 = -90052", "Subtract: 56981172 - (-90052) = 57071224", "Multiply: -1480 * 57071224 = -84465411520"], "final_answer": "-84465411520", "answer_type": "integer", "kind": "expression", "math_text": "-1480 * (8468 * 6729 - (-99818 + 9766))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1480, \"b\": 8468, \"c\": 6729, \"d\": -99818, \"e\": 9766}", "seed": "12990554141242155239", "semantic_fingerprint": "sha256:b956fc349dbd6d0d72836a31aad87838d59f919e7e85013bab079fe1ce5a16d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006260", "prompt": "Compute: 7829 - (3411 + (-3543) - (-75986))", "solution_steps": ["Add: 3411 + (-3543) = -132", "Subtract: -132 - (-75986) = 75854", "Subtract: 7829 - 75854 = -68025"], "final_answer": "-68025", "answer_type": "integer", "kind": "expression", "math_text": "7829 - (3411 + (-3543) - (-75986))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7829, \"b\": 3411, \"c\": -3543, \"d\": -75986}", "seed": "12926806783037625963", "semantic_fingerprint": "sha256:3e06ce376c40a13ae03135e1a0d083e3eaa361d414f2c40326e2db38b7e4e725", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006261", "prompt": "What is (-6569 - (-69399)) * (1763 / 53848) + 33664?", "solution_steps": ["Subtract: -6569 - (-69399) = 62830", "Divide: 1763 / 53848 = 1763/53848", "Multiply: 62830 * (1763/53848) = 55384645/26924", "Add: 55384645/26924 + 33664 = 961754181/26924"], "final_answer": "961754181/26924", "answer_type": "rational", "kind": "expression", "math_text": "(-6569 - (-69399)) * (1763 / 53848) + 33664", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6569, \"b\": -69399, \"c\": 1763, \"d\": 53848, \"e\": 33664}", "seed": "7223278120861115615", "semantic_fingerprint": "sha256:8858f83d3d548896e45f5c9b334b00a637519f466cd5de99ca7a0e2ef4d4bdb4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006262", "prompt": "Calculate: -5620 / ((-5669 + (-48830)) / (-4765))", "solution_steps": ["Add: -5669 + (-48830) = -54499", "Divide: -54499 / (-4765) = 54499/4765", "Divide: -5620 / (54499/4765) = -26779300/54499"], "final_answer": "-26779300/54499", "answer_type": "rational", "kind": "expression", "math_text": "-5620 / ((-5669 + (-48830)) / (-4765))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5620, \"b\": -5669, \"c\": -48830, \"d\": -4765}", "seed": "15948024562236370557", "semantic_fingerprint": "sha256:5d4f12e4edde6da1ab4d61d4098681ad0c24ac05505d2263edf6883ba1f63432", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006263", "prompt": "Compute: 9788 - (-28428 / (-24837) + 8433)", "solution_steps": ["Divide: -28428 / (-24837) = 9476/8279", "Add: 9476/8279 + 8433 = 69826283/8279", "Subtract: 9788 - 69826283/8279 = 11208569/8279"], "final_answer": "11208569/8279", "answer_type": "rational", "kind": "expression", "math_text": "9788 - (-28428 / (-24837) + 8433)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9788, \"b\": -28428, \"c\": -24837, \"d\": 8433}", "seed": "13384482135072351859", "semantic_fingerprint": "sha256:60bbafc11d9842579ba96aafb96691eec384ae67cfcd04492238fc2d7b9c4311", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006264", "prompt": "Evaluate: 59800 + (2993 + 2472) * (-3996 - (-6195))", "solution_steps": ["Add: 2993 + 2472 = 5465", "Subtract: -3996 - (-6195) = 2199", "Multiply: 5465 * 2199 = 12017535", "Add: 59800 + 12017535 = 12077335"], "final_answer": "12077335", "answer_type": "integer", "kind": "expression", "math_text": "59800 + (2993 + 2472) * (-3996 - (-6195))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 59800, \"b\": 2993, \"c\": 2472, \"d\": -3996, \"e\": -6195}", "seed": "8968363379335789489", "semantic_fingerprint": "sha256:219b6339e70e7ea8933606f9436925b04202b192a5729fe5b7a97b8d835afad8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006265", "prompt": "What value of x satisfies x + 1536 = 1480?", "solution_steps": ["Subtract 1536 from both sides: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1536 = 1480", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1536, \"c\": 1480, \"x\": -56}", "seed": "9018268523534228439", "semantic_fingerprint": "sha256:2865d8df07d2cf2dd485dc2d055a19e6de9631a880d3d40404c53d9c2df2bb73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006266", "prompt": "Solve for x: 14(x - 14448) + 98085 = 40(x - 6650) + 33462", "solution_steps": ["Expand: 14x - 202272 + 98085 = 40(x - 6650) + 33462", "Expand: 14x - 202272 + 98085 = 40x - 266000 + 33462", "Combine constants: 14x - 104187 = 40x - 266000 + 33462", "Combine constants: 14x - 104187 = 40x - 232538", "Subtract 40x from both sides: -26x - 104187 = -232538", "Add 104187 to both sides: -26x = -128351", "Divide both sides by -26: x = 128351/26"], "final_answer": "128351/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 14448) + 98085 = 40(x - 6650) + 33462", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 14448, \"c\": 98085, \"d\": 40, \"e\": 6650, \"f\": 33462}", "seed": "1378227742834996305", "semantic_fingerprint": "sha256:7f75a89a916e2b217e84668d41b4a1f2c6fcbd2edb1a4d66b30ccb72989fd293", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006267", "prompt": "Evaluate: (31290 - 25750) * (-4295) / (-93301 + 4232)", "solution_steps": ["Subtract: 31290 - 25750 = 5540", "Multiply: 5540 * (-4295) = -23794300", "Add: -93301 + 4232 = -89069", "Divide: -23794300 / (-89069) = 23794300/89069"], "final_answer": "23794300/89069", "answer_type": "rational", "kind": "expression", "math_text": "(31290 - 25750) * (-4295) / (-93301 + 4232)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31290, \"b\": 25750, \"c\": -4295, \"d\": -93301, \"e\": 4232}", "seed": "8367604076134475732", "semantic_fingerprint": "sha256:39c38b5c23c6df942299144ad6490323a1a42ecd7bcd12792d8b81db34de88f4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006268", "prompt": "Evaluate: -17811 * 99597 - (8827 + (-18116 + (2300 - 5362)))", "solution_steps": ["Multiply: -17811 * 99597 = -1773922167", "Subtract: 2300 - 5362 = -3062", "Add: -18116 + (-3062) = -21178", "Add: 8827 + (-21178) = -12351", "Subtract: -1773922167 - (-12351) = -1773909816"], "final_answer": "-1773909816", "answer_type": "integer", "kind": "expression", "math_text": "-17811 * 99597 - (8827 + (-18116 + (2300 - 5362)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ n (+ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17811, \"b\": 99597, \"c\": 8827, \"d\": -18116, \"e\": 2300, \"f\": 5362}", "seed": "7757234934120727105", "semantic_fingerprint": "sha256:f9898b372f57227db020f09f8d1577a932096ef1ed3059112b4cf90a8de3bb21", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006269", "prompt": "Solve the equation x + 33901 = -8147 for x.", "solution_steps": ["Subtract 33901 from both sides: x = -42048"], "final_answer": "-42048", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33901 = -8147", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33901, \"b\": -8147}", "seed": "14528919849391378261", "semantic_fingerprint": "sha256:8c5422b344321e9f2aff54dfd4744057d4568df381577657352b96360b091818", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006270", "prompt": "Find x: 16x + 7810 = -17(x + 21532)", "solution_steps": ["Expand: 16x + 7810 = -17x - 366044", "Add 17x to both sides: 33x + 7810 = -366044", "Subtract 7810 from both sides: 33x = -373854", "Divide both sides by 33: x = -124618/11"], "final_answer": "-124618/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x + 7810 = -17(x + 21532)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 7810, \"c\": -17, \"d\": 21532}", "seed": "2908295794999656511", "semantic_fingerprint": "sha256:d8d50090c271da1a68f71fbe21d91846d5094ea5cf8352197a55413473917561", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006271", "prompt": "What is 8721 - 66904 + (-5766) * 52316?", "solution_steps": ["Subtract: 8721 - 66904 = -58183", "Multiply: -5766 * 52316 = -301654056", "Add: -58183 + (-301654056) = -301712239"], "final_answer": "-301712239", "answer_type": "integer", "kind": "expression", "math_text": "8721 - 66904 + (-5766) * 52316", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8721, \"b\": 66904, \"c\": -5766, \"d\": 52316}", "seed": "18148672672504297357", "semantic_fingerprint": "sha256:00d9394939c53ffa67e8f791cc8fff23bb1af46980322475e36c423cdbf7d7a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006272", "prompt": "Find x: x - 3224 = -25x", "solution_steps": ["Add 25x to both sides: 26x - 3224 = 0", "Add 3224 to both sides: 26x = 3224", "Divide both sides by 26: x = 124"], "final_answer": "124", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3224 = -25x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": -3224, \"x\": 124}", "seed": "1435874028892782620", "semantic_fingerprint": "sha256:ab6db8b78f8f7433b0c8e56cf25c568edbf7eb42a06d730437f46fa90578e8fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006273", "prompt": "Compute: -89180 / 1481 + 8725", "solution_steps": ["Divide: -89180 / 1481 = -89180/1481", "Add: -89180/1481 + 8725 = 12832545/1481"], "final_answer": "12832545/1481", "answer_type": "rational", "kind": "expression", "math_text": "-89180 / 1481 + 8725", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89180, \"b\": 1481, \"c\": 8725}", "seed": "281197948371672209", "semantic_fingerprint": "sha256:2a2f4c2452f8f98d72a58f04677bc1932f75519c62a951d59836c42856433d2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006274", "prompt": "Compute: -3682 - 6551", "solution_steps": ["Subtract: -3682 - 6551 = -10233"], "final_answer": "-10233", "answer_type": "integer", "kind": "expression", "math_text": "-3682 - 6551", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3682, \"b\": 6551}", "seed": "5677192194345515351", "semantic_fingerprint": "sha256:bd8fc009d6a75aa2ea501f0437ed48520790f4d0bc8b70659f6151a807b3f6dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006275", "prompt": "Solve the equation -17(x + 3240) = 64224 for x.", "solution_steps": ["Expand: -17x - 55080 = 64224", "Add 55080 to both sides: -17x = 119304", "Divide both sides by -17: x = -119304/17"], "final_answer": "-119304/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 3240) = 64224", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 3240, \"c\": 64224}", "seed": "14118641645584352713", "semantic_fingerprint": "sha256:a28745d9a6ae2205d39b1061f0e65622c544e85cf82f99cd55f41de3f9f21c69", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006276", "prompt": "Calculate: (-2787 - (-8568)) * (-63929)", "solution_steps": ["Subtract: -2787 - (-8568) = 5781", "Multiply: 5781 * (-63929) = -369573549"], "final_answer": "-369573549", "answer_type": "integer", "kind": "expression", "math_text": "(-2787 - (-8568)) * (-63929)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2787, \"b\": -8568, \"c\": -63929}", "seed": "15788858546880796166", "semantic_fingerprint": "sha256:97a2e9ea73aaf513b90f06d615e18c0e76f627f855210e18b6f2bed833234cff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006277", "prompt": "What is 7323 * 2491?", "solution_steps": ["Multiply: 7323 * 2491 = 18241593"], "final_answer": "18241593", "answer_type": "integer", "kind": "expression", "math_text": "7323 * 2491", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7323, \"b\": 2491}", "seed": "7081618127077817422", "semantic_fingerprint": "sha256:fdf739d8705aeb6a8f6fae29dfb32e0a5c12aa5a23de14d9145f4c53898c2a9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006278", "prompt": "Solve the equation 34x + 17209 = 24x + 95662 for x.", "solution_steps": ["Subtract 24x from both sides: 10x + 17209 = 95662", "Subtract 17209 from both sides: 10x = 78453", "Divide both sides by 10: x = 78453/10"], "final_answer": "78453/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 17209 = 24x + 95662", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 17209, \"c\": 24, \"d\": 95662}", "seed": "9109834892825102319", "semantic_fingerprint": "sha256:83b164787082cd8247344cec032563cf09287a2e7c39c6833ce5b3c44f4fd95e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006279", "prompt": "Calculate: (-7954 - 41958) / (-60084)", "solution_steps": ["Subtract: -7954 - 41958 = -49912", "Divide: -49912 / (-60084) = 12478/15021"], "final_answer": "12478/15021", "answer_type": "rational", "kind": "expression", "math_text": "(-7954 - 41958) / (-60084)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7954, \"b\": 41958, \"c\": -60084}", "seed": "16984814595657761368", "semantic_fingerprint": "sha256:7af791f144e413c8e2094dc580b14e2d0dd44ee8760411309eca74e5c5488662", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006280", "prompt": "What is 10032 - (-82753) / 6890?", "solution_steps": ["Divide: -82753 / 6890 = -82753/6890", "Subtract: 10032 - (-82753/6890) = 69203233/6890"], "final_answer": "69203233/6890", "answer_type": "rational", "kind": "expression", "math_text": "10032 - (-82753) / 6890", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10032, \"b\": -82753, \"c\": 6890}", "seed": "1651367211198934491", "semantic_fingerprint": "sha256:4f4871c29550398ebc27c658626af7517a87ee7a1a244688ae88c16b1334441a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006281", "prompt": "Find x: -27x - 2394 = 26(x - 2109) - 49776", "solution_steps": ["Expand: -27x - 2394 = 26x - 54834 - 49776", "Combine constants: -27x - 2394 = 26x - 104610", "Subtract 26x from both sides: -53x - 2394 = -104610", "Add 2394 to both sides: -53x = -102216", "Divide both sides by -53: x = 102216/53"], "final_answer": "102216/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x - 2394 = 26(x - 2109) - 49776", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2394, \"c\": 26, \"d\": 2109, \"e\": 49776}", "seed": "13135936718378125165", "semantic_fingerprint": "sha256:435f4baa0cc22d85b586cb84a2060f73e83757bd6d42575751f509fd6aa11874", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006282", "prompt": "What is -12763 * 3117 / (-34537)?", "solution_steps": ["Multiply: -12763 * 3117 = -39782271", "Divide: -39782271 / (-34537) = 39782271/34537"], "final_answer": "39782271/34537", "answer_type": "rational", "kind": "expression", "math_text": "-12763 * 3117 / (-34537)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12763, \"b\": 3117, \"c\": -34537}", "seed": "10324929702399558485", "semantic_fingerprint": "sha256:19dab26dcda85e0ae8b465d4cfcc035e795bd5153aaee90d58d4b141800d1965", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006283", "prompt": "Compute: -3321 + 5959 - 6630 - (-9116)", "solution_steps": ["Add: -3321 + 5959 = 2638", "Subtract: 2638 - 6630 = -3992", "Subtract: -3992 - (-9116) = 5124"], "final_answer": "5124", "answer_type": "integer", "kind": "expression", "math_text": "-3321 + 5959 - 6630 - (-9116)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3321, \"b\": 5959, \"c\": 6630, \"d\": -9116}", "seed": "117676872900152109", "semantic_fingerprint": "sha256:b35b792b24c5e26b0a09cefd8fc3d02e4687a61ae8f41afd53169922f8fb6663", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006284", "prompt": "Compute: 27674 - 9315 * 1519", "solution_steps": ["Multiply: 9315 * 1519 = 14149485", "Subtract: 27674 - 14149485 = -14121811"], "final_answer": "-14121811", "answer_type": "integer", "kind": "expression", "math_text": "27674 - 9315 * 1519", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27674, \"b\": 9315, \"c\": 1519}", "seed": "1746795783916279036", "semantic_fingerprint": "sha256:1a7bd584a238c9797f0594fb4c81a6b5255a9a89f40970d300e283106ceed42f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006285", "prompt": "Evaluate: 12581 - 7240", "solution_steps": ["Subtract: 12581 - 7240 = 5341"], "final_answer": "5341", "answer_type": "integer", "kind": "expression", "math_text": "12581 - 7240", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 12581, \"b\": 7240}", "seed": "13168415576467926751", "semantic_fingerprint": "sha256:7aacb2c1e4e11326f779ce9546a767768da70c728521bf57740f603b56934487", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006286", "prompt": "Evaluate: -4888 - 91515 / (-46094 - 9885 + (-7458) - 2048)", "solution_steps": ["Subtract: -46094 - 9885 = -55979", "Add: -55979 + (-7458) = -63437", "Subtract: -63437 - 2048 = -65485", "Divide: 91515 / (-65485) = -18303/13097", "Subtract: -4888 - (-18303/13097) = -63999833/13097"], "final_answer": "-63999833/13097", "answer_type": "rational", "kind": "expression", "math_text": "-4888 - 91515 / (-46094 - 9885 + (-7458) - 2048)", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (- (+ (- n n) n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4888, \"b\": 91515, \"c\": -46094, \"d\": 9885, \"e\": -7458, \"f\": 2048}", "seed": "10211625418838516863", "semantic_fingerprint": "sha256:562c2d323c5fc406d5335d83c27bcb9709f176bfb71eac707ecd9e93f7849fa5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006287", "prompt": "What value of x satisfies 36(x - 21364) = 38x?", "solution_steps": ["Expand: 36x - 769104 = 38x", "Subtract 38x from both sides: -2x - 769104 = 0", "Add 769104 to both sides: -2x = 769104", "Divide both sides by -2: x = -384552"], "final_answer": "-384552", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x - 21364) = 38x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 21364, \"c\": 38}", "seed": "14584538599908597130", "semantic_fingerprint": "sha256:e0bc913d8529111cc6fe34dcc526a8372a25015a71ca964ed424b92f7ce3efea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006288", "prompt": "Evaluate: 2884 / (48070 - 6177)", "solution_steps": ["Subtract: 48070 - 6177 = 41893", "Divide: 2884 / 41893 = 2884/41893"], "final_answer": "2884/41893", "answer_type": "rational", "kind": "expression", "math_text": "2884 / (48070 - 6177)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2884, \"b\": 48070, \"c\": 6177}", "seed": "9468614473494379344", "semantic_fingerprint": "sha256:175b47e5ecb71902e0502b393eb8f23bcc000ca98970927909a06bc3b3a42218", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006289", "prompt": "Calculate: 8226 - (-3467) * (-7550)", "solution_steps": ["Multiply: -3467 * (-7550) = 26175850", "Subtract: 8226 - 26175850 = -26167624"], "final_answer": "-26167624", "answer_type": "integer", "kind": "expression", "math_text": "8226 - (-3467) * (-7550)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8226, \"b\": -3467, \"c\": -7550}", "seed": "7841809720715765878", "semantic_fingerprint": "sha256:7e2f4d940b1aa8fb88de5a19d4c4b3e4bd2190f02f5af01f10e557505cd5090f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006290", "prompt": "Solve for x: 33x - 1444 = 14x", "solution_steps": ["Subtract 14x from both sides: 19x - 1444 = 0", "Add 1444 to both sides: 19x = 1444", "Divide both sides by 19: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 1444 = 14x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 14, \"d\": -1444, \"x\": 76}", "seed": "3067925683861139152", "semantic_fingerprint": "sha256:da9d95af6d401b4978543dcd1a2e69c63ac095424a7e1c9d2199d8843ef0d7e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006291", "prompt": "Solve the equation x = -19(x + 1410) + 23310 for x.", "solution_steps": ["Expand: x = -19x - 26790 + 23310", "Combine constants: x = -19x - 3480", "Add 19x to both sides: 20x = -3480", "Divide both sides by 20: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -19(x + 1410) + 23310", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1410, \"d\": 23310, \"x\": -174}", "seed": "4916959047960680555", "semantic_fingerprint": "sha256:5ee55dd3ed46066388b9cbce945a58db712f7882d5aa62f3375f8c2852239306", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006292", "prompt": "Compute: -38987 * 11652", "solution_steps": ["Multiply: -38987 * 11652 = -454276524"], "final_answer": "-454276524", "answer_type": "integer", "kind": "expression", "math_text": "-38987 * 11652", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -38987, \"b\": 11652}", "seed": "10073839165058446925", "semantic_fingerprint": "sha256:3d6582c08fcdd68f30fabcd81fa181e3b142a6c42ad6d2229f9a3b7820fbd9a5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006293", "prompt": "What is (-5394 + (-1423) + (3351 + 67928)) * 42047 - (-5234)?", "solution_steps": ["Add: -5394 + (-1423) = -6817", "Add: 3351 + 67928 = 71279", "Add: -6817 + 71279 = 64462", "Multiply: 64462 * 42047 = 2710433714", "Subtract: 2710433714 - (-5234) = 2710438948"], "final_answer": "2710438948", "answer_type": "integer", "kind": "expression", "math_text": "(-5394 + (-1423) + (3351 + 67928)) * 42047 - (-5234)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ (+ n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5394, \"b\": -1423, \"c\": 3351, \"d\": 67928, \"e\": 42047, \"f\": -5234}", "seed": "12519017842725683887", "semantic_fingerprint": "sha256:892b6483f3af6910c6a611bb2c5b493de27c1834c77b44250553e3eeead10404", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006294", "prompt": "What is (-39751 - (-43939)) * 28219 + 64721?", "solution_steps": ["Subtract: -39751 - (-43939) = 4188", "Multiply: 4188 * 28219 = 118181172", "Add: 118181172 + 64721 = 118245893"], "final_answer": "118245893", "answer_type": "integer", "kind": "expression", "math_text": "(-39751 - (-43939)) * 28219 + 64721", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39751, \"b\": -43939, \"c\": 28219, \"d\": 64721}", "seed": "18065434838394717294", "semantic_fingerprint": "sha256:6eb8a6b1e34ca9c8ee523ceac2bd4b6f8d914dd527387ac9ddb5d077f7a083fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006295", "prompt": "Calculate: 5268 - 1752", "solution_steps": ["Subtract: 5268 - 1752 = 3516"], "final_answer": "3516", "answer_type": "integer", "kind": "expression", "math_text": "5268 - 1752", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5268, \"b\": 1752}", "seed": "728109377293747038", "semantic_fingerprint": "sha256:0638cbd8bd2bc9f1583bbc5d01a22aaed9c5ad29c38b87b5b960c99c57d63b93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006296", "prompt": "What is 4486 - (-8261) * 69526?", "solution_steps": ["Multiply: -8261 * 69526 = -574354286", "Subtract: 4486 - (-574354286) = 574358772"], "final_answer": "574358772", "answer_type": "integer", "kind": "expression", "math_text": "4486 - (-8261) * 69526", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4486, \"b\": -8261, \"c\": 69526}", "seed": "13424756779959678279", "semantic_fingerprint": "sha256:779fe6652777e482ae13531e6de9f5bbfb4c1c64b2353ba2fbcba2be5cc037d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006297", "prompt": "Evaluate: -94350 + 7430 * (-3291)", "solution_steps": ["Multiply: 7430 * (-3291) = -24452130", "Add: -94350 + (-24452130) = -24546480"], "final_answer": "-24546480", "answer_type": "integer", "kind": "expression", "math_text": "-94350 + 7430 * (-3291)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94350, \"b\": 7430, \"c\": -3291}", "seed": "1369533382577974582", "semantic_fingerprint": "sha256:b668c9cf52f4f414526d68ad94e4ca0f1ae69a11ef2c6ecf392bcde340d34556", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006298", "prompt": "Solve for x: 16(x - 3702) + 17919 = -35(x + 3733) + 94187", "solution_steps": ["Expand: 16x - 59232 + 17919 = -35(x + 3733) + 94187", "Expand: 16x - 59232 + 17919 = -35x - 130655 + 94187", "Combine constants: 16x - 41313 = -35x - 130655 + 94187", "Combine constants: 16x - 41313 = -35x - 36468", "Add 35x to both sides: 51x - 41313 = -36468", "Add 41313 to both sides: 51x = 4845", "Divide both sides by 51: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 3702) + 17919 = -35(x + 3733) + 94187", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3702, \"c\": 17919, \"d\": -35, \"e\": 3733, \"g\": 94187, \"x\": 95}", "seed": "13264245719993040158", "semantic_fingerprint": "sha256:83dfbdcc2772b1f034400bbc64dba347d6e4cdd23226481e9bd410963d3a259c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006299", "prompt": "Compute: -6965 + (-1194) * 1425", "solution_steps": ["Multiply: -1194 * 1425 = -1701450", "Add: -6965 + (-1701450) = -1708415"], "final_answer": "-1708415", "answer_type": "integer", "kind": "expression", "math_text": "-6965 + (-1194) * 1425", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6965, \"b\": -1194, \"c\": 1425}", "seed": "11832067979466066215", "semantic_fingerprint": "sha256:1358e2b244ad32684f44d0b14d8a6b7aa4d103ec82d2767fd13719e6fe93a861", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006300", "prompt": "Compute: (3253 - 46601) * (42340 - (-85396)) - 1209", "solution_steps": ["Subtract: 3253 - 46601 = -43348", "Subtract: 42340 - (-85396) = 127736", "Multiply: -43348 * 127736 = -5537100128", "Subtract: -5537100128 - 1209 = -5537101337"], "final_answer": "-5537101337", "answer_type": "integer", "kind": "expression", "math_text": "(3253 - 46601) * (42340 - (-85396)) - 1209", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3253, \"b\": 46601, \"c\": 42340, \"d\": -85396, \"e\": 1209}", "seed": "13491162811611532493", "semantic_fingerprint": "sha256:f9f740e622c081e0e9a98e61a56059cd764168a4a36647e6abb589ab43c5c8bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006301", "prompt": "What is -8342 + (-6544) * (-38962)?", "solution_steps": ["Multiply: -6544 * (-38962) = 254967328", "Add: -8342 + 254967328 = 254958986"], "final_answer": "254958986", "answer_type": "integer", "kind": "expression", "math_text": "-8342 + (-6544) * (-38962)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8342, \"b\": -6544, \"c\": -38962}", "seed": "1475512867703824766", "semantic_fingerprint": "sha256:5e48dcb269bcb06d81af38c47f22d903b87256b42f37d5ebb10adb52cfa7fe61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006302", "prompt": "Solve the equation x - 7691 = 24(x + 27989) for x.", "solution_steps": ["Expand: x - 7691 = 24x + 671736", "Subtract 24x from both sides: -23x - 7691 = 671736", "Add 7691 to both sides: -23x = 679427", "Divide both sides by -23: x = -679427/23"], "final_answer": "-679427/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7691 = 24(x + 27989)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7691, \"b\": 24, \"c\": 27989}", "seed": "11918093226381723585", "semantic_fingerprint": "sha256:002a4fc97c9b9708cf8c5a45aeac95c44261b30cce6bacbe82701c3d3dbe0c83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006303", "prompt": "What is 6787 * (-9812) * (-7893)?", "solution_steps": ["Multiply: 6787 * (-9812) = -66594044", "Multiply: -66594044 * (-7893) = 525626789292"], "final_answer": "525626789292", "answer_type": "integer", "kind": "expression", "math_text": "6787 * (-9812) * (-7893)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6787, \"b\": -9812, \"c\": -7893}", "seed": "13874565959245103136", "semantic_fingerprint": "sha256:7c1b294e694edd85434d3d5ca849096121febef12d6081859ef033e665d1b6ee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006304", "prompt": "Compute: 77376 - (6191 + (45255 - (-1763)) / (39117 / (-8615)))", "solution_steps": ["Subtract: 45255 - (-1763) = 47018", "Divide: 39117 / (-8615) = -39117/8615", "Divide: 47018 / (-39117/8615) = -405060070/39117", "Add: 6191 + (-405060070/39117) = -162886723/39117", "Subtract: 77376 - (-162886723/39117) = 3189603715/39117"], "final_answer": "3189603715/39117", "answer_type": "rational", "kind": "expression", "math_text": "77376 - (6191 + (45255 - (-1763)) / (39117 / (-8615)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (/ (- n n) (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 77376, \"b\": 6191, \"c\": 45255, \"d\": -1763, \"e\": 39117, \"f\": -8615}", "seed": "16955543771096263018", "semantic_fingerprint": "sha256:66a18035f6f98f43ac1e9bc39e167a8a841e1103f4c27909403269f7acb28292", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006305", "prompt": "What is 4860 + (-9525 - 45994 - 23855)?", "solution_steps": ["Subtract: -9525 - 45994 = -55519", "Subtract: -55519 - 23855 = -79374", "Add: 4860 + (-79374) = -74514"], "final_answer": "-74514", "answer_type": "integer", "kind": "expression", "math_text": "4860 + (-9525 - 45994 - 23855)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4860, \"b\": -9525, \"c\": 45994, \"d\": 23855}", "seed": "2922354361295178941", "semantic_fingerprint": "sha256:0c845528621631989ecf6c1692bec67dfb4cf4e869b3e6721f4fbab9d2f1d050", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006306", "prompt": "Find x: -18x - 29831 = x + 2411", "solution_steps": ["Subtract x from both sides: -19x - 29831 = 2411", "Add 29831 to both sides: -19x = 32242", "Divide both sides by -19: x = -32242/19"], "final_answer": "-32242/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x - 29831 = x + 2411", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 29831, \"c\": 2411}", "seed": "13874126450352187573", "semantic_fingerprint": "sha256:f5b9807e67393841921698501b3a53bcd29327614a0aca67d7d1fc4c3b74a33a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006307", "prompt": "Compute: (9278 + (-6855) - 6672) * 2653", "solution_steps": ["Add: 9278 + (-6855) = 2423", "Subtract: 2423 - 6672 = -4249", "Multiply: -4249 * 2653 = -11272597"], "final_answer": "-11272597", "answer_type": "integer", "kind": "expression", "math_text": "(9278 + (-6855) - 6672) * 2653", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9278, \"b\": -6855, \"c\": 6672, \"d\": 2653}", "seed": "10604478205568904338", "semantic_fingerprint": "sha256:767e401dfbb4917866c623e6ce6ff1de6d80097c9c7827c2ae9690a1d0ecf699", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006308", "prompt": "Evaluate: 1733 / 46107", "solution_steps": ["Divide: 1733 / 46107 = 1733/46107"], "final_answer": "1733/46107", "answer_type": "rational", "kind": "expression", "math_text": "1733 / 46107", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1733, \"b\": 46107}", "seed": "4398815650664130940", "semantic_fingerprint": "sha256:fc1b2a7d239aa985a4534d236369cc26b95303aeb5d9b5593ef54018958b2819", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006309", "prompt": "Compute: -1471 * (3147 - (-8646))", "solution_steps": ["Subtract: 3147 - (-8646) = 11793", "Multiply: -1471 * 11793 = -17347503"], "final_answer": "-17347503", "answer_type": "integer", "kind": "expression", "math_text": "-1471 * (3147 - (-8646))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1471, \"b\": 3147, \"c\": -8646}", "seed": "8256532517499209558", "semantic_fingerprint": "sha256:d0d5edd11a686ea1f60469d1cd5b6c01911bd3c88e24db331409b1af07f48a4f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006310", "prompt": "Solve for x: x = 14(x + 39320)", "solution_steps": ["Expand: x = 14x + 550480", "Subtract 14x from both sides: -13x = 550480", "Divide both sides by -13: x = -550480/13"], "final_answer": "-550480/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14(x + 39320)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 39320}", "seed": "8371058232976266810", "semantic_fingerprint": "sha256:938990cabc486790480c81840061e782f271ea10d7032725891374ae397731a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006311", "prompt": "What value of x satisfies 40(x - 50299) + 3407 = -19(x + 2550) + 4868?", "solution_steps": ["Expand: 40x - 2011960 + 3407 = -19(x + 2550) + 4868", "Expand: 40x - 2011960 + 3407 = -19x - 48450 + 4868", "Combine constants: 40x - 2008553 = -19x - 48450 + 4868", "Combine constants: 40x - 2008553 = -19x - 43582", "Add 19x to both sides: 59x - 2008553 = -43582", "Add 2008553 to both sides: 59x = 1964971", "Divide both sides by 59: x = 1964971/59"], "final_answer": "1964971/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 50299) + 3407 = -19(x + 2550) + 4868", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 50299, \"c\": 3407, \"d\": -19, \"e\": 2550, \"f\": 4868}", "seed": "7940518157398501271", "semantic_fingerprint": "sha256:5b41f69d478813201229b8ea2333a6ca66e6588e7beca0132641d20f3c596247", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006312", "prompt": "What value of x satisfies 22x = -31(x - 2760)?", "solution_steps": ["Expand: 22x = -31x + 85560", "Add 31x to both sides: 53x = 85560", "Divide both sides by 53: x = 85560/53"], "final_answer": "85560/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x = -31(x - 2760)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": -31, \"c\": 2760}", "seed": "14116334396245921212", "semantic_fingerprint": "sha256:35301cafe0b95d945ee3653b7c18495f269425ca50af19f08a880175ddb777a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006313", "prompt": "Evaluate: 28111 * (-17006) / (-5197 - (-40987))", "solution_steps": ["Multiply: 28111 * (-17006) = -478055666", "Subtract: -5197 - (-40987) = 35790", "Divide: -478055666 / 35790 = -239027833/17895"], "final_answer": "-239027833/17895", "answer_type": "rational", "kind": "expression", "math_text": "28111 * (-17006) / (-5197 - (-40987))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28111, \"b\": -17006, \"c\": -5197, \"d\": -40987}", "seed": "567776125954618855", "semantic_fingerprint": "sha256:44af8251431c4951ed51fe65e995e6e19f291865ca362f1dd94f639635fa1285", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006314", "prompt": "Calculate: (-2665 - (-87326)) * (44912 - (-7948) + 98074)", "solution_steps": ["Subtract: -2665 - (-87326) = 84661", "Subtract: 44912 - (-7948) = 52860", "Add: 52860 + 98074 = 150934", "Multiply: 84661 * 150934 = 12778223374"], "final_answer": "12778223374", "answer_type": "integer", "kind": "expression", "math_text": "(-2665 - (-87326)) * (44912 - (-7948) + 98074)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2665, \"b\": -87326, \"c\": 44912, \"d\": -7948, \"e\": 98074}", "seed": "12175519727423200420", "semantic_fingerprint": "sha256:c59b43a5c2519a665d3ec98696d90836cdf49d5c81807f3e4e8fd47f4813a7e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006315", "prompt": "Compute: -91602 / (-7536) + (-1505)", "solution_steps": ["Divide: -91602 / (-7536) = 15267/1256", "Add: 15267/1256 + (-1505) = -1875013/1256"], "final_answer": "-1875013/1256", "answer_type": "rational", "kind": "expression", "math_text": "-91602 / (-7536) + (-1505)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91602, \"b\": -7536, \"c\": -1505}", "seed": "6289182100213610191", "semantic_fingerprint": "sha256:acac73e07b51b4583fb27deaeccc09e98fa63b4242e4628686927dcaaa56bbb6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006316", "prompt": "Compute: (-1417 + (-5711)) / 32621", "solution_steps": ["Add: -1417 + (-5711) = -7128", "Divide: -7128 / 32621 = -7128/32621"], "final_answer": "-7128/32621", "answer_type": "rational", "kind": "expression", "math_text": "(-1417 + (-5711)) / 32621", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1417, \"b\": -5711, \"c\": 32621}", "seed": "7496122639056740664", "semantic_fingerprint": "sha256:60a41949f6efecfe46bdd012948b86a8ac5c69b399d911aecba269ff72275089", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006317", "prompt": "Compute: 4538 - 9416 + (98554 * (-7679 / 6138) - 1830)", "solution_steps": ["Subtract: 4538 - 9416 = -4878", "Divide: -7679 / 6138 = -7679/6138", "Multiply: 98554 * (-7679/6138) = -378398083/3069", "Subtract: -378398083/3069 - 1830 = -384014353/3069", "Add: -4878 + (-384014353/3069) = -398984935/3069"], "final_answer": "-398984935/3069", "answer_type": "rational", "kind": "expression", "math_text": "4538 - 9416 + (98554 * (-7679 / 6138) - 1830)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (* n (/ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4538, \"b\": 9416, \"c\": 98554, \"d\": -7679, \"e\": 6138, \"f\": 1830}", "seed": "1789493712256570665", "semantic_fingerprint": "sha256:ae8bbf2c48c6f59ccfd6e6ae723d768cc5cc6cfc9beb0d3f5917ceb181935c68", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006318", "prompt": "What is 82044 + (2078 - 75649)?", "solution_steps": ["Subtract: 2078 - 75649 = -73571", "Add: 82044 + (-73571) = 8473"], "final_answer": "8473", "answer_type": "integer", "kind": "expression", "math_text": "82044 + (2078 - 75649)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82044, \"b\": 2078, \"c\": 75649}", "seed": "8174757710434828555", "semantic_fingerprint": "sha256:e14355d09756eee14146eff5d6ba6ad3decb6cdc7380b3bb83d7af275da38e58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006319", "prompt": "Compute: -42019 * (-1745) + (-3038)", "solution_steps": ["Multiply: -42019 * (-1745) = 73323155", "Add: 73323155 + (-3038) = 73320117"], "final_answer": "73320117", "answer_type": "integer", "kind": "expression", "math_text": "-42019 * (-1745) + (-3038)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -42019, \"b\": -1745, \"c\": -3038}", "seed": "7094712731004736993", "semantic_fingerprint": "sha256:496d2435e318abf8b9667fbe1f7f4673cf19baebada8418467277cbe085ea3aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006320", "prompt": "Solve the equation x = 38(x + 6095) + 91113 for x.", "solution_steps": ["Expand: x = 38x + 231610 + 91113", "Combine constants: x = 38x + 322723", "Subtract 38x from both sides: -37x = 322723", "Divide both sides by -37: x = -322723/37"], "final_answer": "-322723/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 38(x + 6095) + 91113", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 6095, \"c\": 91113}", "seed": "1616183438066191057", "semantic_fingerprint": "sha256:4746e29793475c79529aed7ba6b208a64700ef3caded09589cc03f991cf2ead5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006321", "prompt": "Solve for x: x - 56617 = 40(x - 1237)", "solution_steps": ["Expand: x - 56617 = 40x - 49480", "Subtract 40x from both sides: -39x - 56617 = -49480", "Add 56617 to both sides: -39x = 7137", "Divide both sides by -39: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56617 = 40(x - 1237)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1237, \"d\": -56617, \"x\": -183}", "seed": "8668944753569961989", "semantic_fingerprint": "sha256:9c4904cab2fcbadcd5b70e6d15f48d7e989ae07cf1df23bfcdb93b19528bb750", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006322", "prompt": "What is 5272 + (-9269 + 45608) / 7811?", "solution_steps": ["Add: -9269 + 45608 = 36339", "Divide: 36339 / 7811 = 36339/7811", "Add: 5272 + 36339/7811 = 41215931/7811"], "final_answer": "41215931/7811", "answer_type": "rational", "kind": "expression", "math_text": "5272 + (-9269 + 45608) / 7811", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5272, \"b\": -9269, \"c\": 45608, \"d\": 7811}", "seed": "6375380199161019653", "semantic_fingerprint": "sha256:ee81b64dc13ce95a74ae6da54329ca651a9ca74a2016d8ad9a9ff00a2a25f6a2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006323", "prompt": "Calculate: 7858 + 93790", "solution_steps": ["Add: 7858 + 93790 = 101648"], "final_answer": "101648", "answer_type": "integer", "kind": "expression", "math_text": "7858 + 93790", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7858, \"b\": 93790}", "seed": "2787962737955691138", "semantic_fingerprint": "sha256:90dec0cfbff6183df273eae1168b15c7323dce514e0a490c2952e7011402cd1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006324", "prompt": "What value of x satisfies 28(x + 4012) = x - 5121?", "solution_steps": ["Expand: 28x + 112336 = x - 5121", "Subtract x from both sides: 27x + 112336 = -5121", "Subtract 112336 from both sides: 27x = -117457", "Divide both sides by 27: x = -117457/27"], "final_answer": "-117457/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 4012) = x - 5121", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 4012, \"c\": 5121}", "seed": "6762312731053645690", "semantic_fingerprint": "sha256:533b7d601df5f6594d404f181a09f7004a84a96cb80c8ab757745ac2dc381eb2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006325", "prompt": "Solve for x: 40(x - 1095) - 1041 = x", "solution_steps": ["Expand: 40x - 43800 - 1041 = x", "Combine constants: 40x - 44841 = x", "Subtract x from both sides: 39x - 44841 = 0", "Add 44841 to both sides: 39x = 44841", "Divide both sides by 39: x = 14947/13"], "final_answer": "14947/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 1095) - 1041 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1095, \"c\": 1041}", "seed": "12214991867282254229", "semantic_fingerprint": "sha256:9d7ba2675cc155f22075d4f7494c1367ebef2baeaa0c8c4c54de85c96b02cf1f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006326", "prompt": "What is -2554 + (-9942 - 38121) + (95662 + (-30138))?", "solution_steps": ["Subtract: -9942 - 38121 = -48063", "Add: -2554 + (-48063) = -50617", "Add: 95662 + (-30138) = 65524", "Add: -50617 + 65524 = 14907"], "final_answer": "14907", "answer_type": "integer", "kind": "expression", "math_text": "-2554 + (-9942 - 38121) + (95662 + (-30138))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2554, \"b\": -9942, \"c\": 38121, \"d\": 95662, \"e\": -30138}", "seed": "15740849696053115693", "semantic_fingerprint": "sha256:6080fb4f85eb20ea45d0597596b61b89a2c8b15b8e39dceeed136de50b8c71fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006327", "prompt": "Evaluate: (82602 - 7786) * (2150 - 52214)", "solution_steps": ["Subtract: 82602 - 7786 = 74816", "Subtract: 2150 - 52214 = -50064", "Multiply: 74816 * (-50064) = -3745588224"], "final_answer": "-3745588224", "answer_type": "integer", "kind": "expression", "math_text": "(82602 - 7786) * (2150 - 52214)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82602, \"b\": 7786, \"c\": 2150, \"d\": 52214}", "seed": "16868361425873486158", "semantic_fingerprint": "sha256:277788a720b5bd633acd361ddf729dc0d5174432cce1d84716ef9616184ece01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006328", "prompt": "What value of x satisfies x + 4500 = 31x?", "solution_steps": ["Subtract 31x from both sides: -30x + 4500 = 0", "Subtract 4500 from both sides: -30x = -4500", "Divide both sides by -30: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4500 = 31x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 4500, \"x\": 150}", "seed": "2326868469889938294", "semantic_fingerprint": "sha256:bddc25f8c1d5f2d025c631e43a273ac19ccb0c531ae9b8ea539fa3a091631273", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006329", "prompt": "Calculate: (57879 + (-7598)) * 2426", "solution_steps": ["Add: 57879 + (-7598) = 50281", "Multiply: 50281 * 2426 = 121981706"], "final_answer": "121981706", "answer_type": "integer", "kind": "expression", "math_text": "(57879 + (-7598)) * 2426", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57879, \"b\": -7598, \"c\": 2426}", "seed": "3093866647097277652", "semantic_fingerprint": "sha256:7d397ceccdedb34859e29f34f61a27402f7520c940871252efbc9df38becb08f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006330", "prompt": "Compute: -3063 / (-5418)", "solution_steps": ["Divide: -3063 / (-5418) = 1021/1806"], "final_answer": "1021/1806", "answer_type": "rational", "kind": "expression", "math_text": "-3063 / (-5418)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3063, \"b\": -5418}", "seed": "17918966869791282020", "semantic_fingerprint": "sha256:77443008dc2cbe7fe9e38516d284a95adf0c5ed972a9962ee01b7de6d2f5360a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006331", "prompt": "What is 98418 * (8193 / (-9959)) - (-8769)?", "solution_steps": ["Divide: 8193 / (-9959) = -8193/9959", "Multiply: 98418 * (-8193/9959) = -806338674/9959", "Subtract: -806338674/9959 - (-8769) = -719008203/9959"], "final_answer": "-719008203/9959", "answer_type": "rational", "kind": "expression", "math_text": "98418 * (8193 / (-9959)) - (-8769)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98418, \"b\": 8193, \"c\": -9959, \"d\": -8769}", "seed": "4295065661980021291", "semantic_fingerprint": "sha256:3e0d855fce0a22860fb011055ff8ed179b79eea586b1e58ec21432c9887cd84d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006332", "prompt": "Solve the equation x = 21(x - 9761) for x.", "solution_steps": ["Expand: x = 21x - 204981", "Subtract 21x from both sides: -20x = -204981", "Divide both sides by -20: x = 204981/20"], "final_answer": "204981/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 21(x - 9761)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9761}", "seed": "9593106901783225560", "semantic_fingerprint": "sha256:3cdf8681205f6f84c799524af4cdb9f98919aeb8088ac65cadb8bb9a46e1c0ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006333", "prompt": "Compute: 5911 / 34713 - (-5326)", "solution_steps": ["Divide: 5911 / 34713 = 5911/34713", "Subtract: 5911/34713 - (-5326) = 184887349/34713"], "final_answer": "184887349/34713", "answer_type": "rational", "kind": "expression", "math_text": "5911 / 34713 - (-5326)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5911, \"b\": 34713, \"c\": -5326}", "seed": "15262727739601326256", "semantic_fingerprint": "sha256:b6743c56c0ba0bdab444755ccb28f2e61980387b09a9a5b673f9ae71c500c114", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006334", "prompt": "What is 6684 + 67669 * (-8128) - (-8152)?", "solution_steps": ["Multiply: 67669 * (-8128) = -550013632", "Add: 6684 + (-550013632) = -550006948", "Subtract: -550006948 - (-8152) = -549998796"], "final_answer": "-549998796", "answer_type": "integer", "kind": "expression", "math_text": "6684 + 67669 * (-8128) - (-8152)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6684, \"b\": 67669, \"c\": -8128, \"d\": -8152}", "seed": "5333392069213230395", "semantic_fingerprint": "sha256:835929b5e5ef91812af034379e8456f8c139cc1371173902ff9757a26cde2b18", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006335", "prompt": "Find x: -30(x + 5498) + 43383 = 25(x - 63724) - 8684", "solution_steps": ["Expand: -30x - 164940 + 43383 = 25(x - 63724) - 8684", "Expand: -30x - 164940 + 43383 = 25x - 1593100 - 8684", "Combine constants: -30x - 121557 = 25x - 1593100 - 8684", "Combine constants: -30x - 121557 = 25x - 1601784", "Subtract 25x from both sides: -55x - 121557 = -1601784", "Add 121557 to both sides: -55x = -1480227", "Divide both sides by -55: x = 1480227/55"], "final_answer": "1480227/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 5498) + 43383 = 25(x - 63724) - 8684", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 5498, \"c\": 43383, \"d\": 25, \"e\": 63724, \"f\": 8684}", "seed": "10552642903050521958", "semantic_fingerprint": "sha256:6a64bfa1ac679d6d7e01168bcd6512122e4cdc7e6628418838d739db3ca04380", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006336", "prompt": "Compute: -56087 - (-8848 + (-5048))", "solution_steps": ["Add: -8848 + (-5048) = -13896", "Subtract: -56087 - (-13896) = -42191"], "final_answer": "-42191", "answer_type": "integer", "kind": "expression", "math_text": "-56087 - (-8848 + (-5048))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56087, \"b\": -8848, \"c\": -5048}", "seed": "5988979751850619394", "semantic_fingerprint": "sha256:566921cf84173b21f2bdef65f233956ccaeccead34e60d86d14c2dbf1605bd26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006337", "prompt": "Evaluate: 4289 - (-2716) / (-1571 - (-95552))", "solution_steps": ["Subtract: -1571 - (-95552) = 93981", "Divide: -2716 / 93981 = -2716/93981", "Subtract: 4289 - (-2716/93981) = 403087225/93981"], "final_answer": "403087225/93981", "answer_type": "rational", "kind": "expression", "math_text": "4289 - (-2716) / (-1571 - (-95552))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4289, \"b\": -2716, \"c\": -1571, \"d\": -95552}", "seed": "10346266935503285047", "semantic_fingerprint": "sha256:04a90f075d1c72bbe5da21e0901dc530c2824fed3a0bef77669ca0e8f7698073", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006338", "prompt": "What is 25976 - 2452 + 2359?", "solution_steps": ["Subtract: 25976 - 2452 = 23524", "Add: 23524 + 2359 = 25883"], "final_answer": "25883", "answer_type": "integer", "kind": "expression", "math_text": "25976 - 2452 + 2359", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25976, \"b\": 2452, \"c\": 2359}", "seed": "5442457537255070013", "semantic_fingerprint": "sha256:8618e5a830dc60849296db0bd52f2d77f811401c42b59221c3c5d8a6b4fcc845", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006339", "prompt": "Find x: -15x + 35341 = -28(x - 1232)", "solution_steps": ["Expand: -15x + 35341 = -28x + 34496", "Add 28x to both sides: 13x + 35341 = 34496", "Subtract 35341 from both sides: 13x = -845", "Divide both sides by 13: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x + 35341 = -28(x - 1232)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": -28, \"c\": 1232, \"e\": 35341, \"x\": -65}", "seed": "2692267228102867076", "semantic_fingerprint": "sha256:bc56e0f7302128a2740be794debf8c0d48094b4e6240361ccaa0159b8a8b1d16", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006340", "prompt": "Compute: 1017 * (4166 - (-2172) * (-77676))", "solution_steps": ["Multiply: -2172 * (-77676) = 168712272", "Subtract: 4166 - 168712272 = -168708106", "Multiply: 1017 * (-168708106) = -171576143802"], "final_answer": "-171576143802", "answer_type": "integer", "kind": "expression", "math_text": "1017 * (4166 - (-2172) * (-77676))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1017, \"b\": 4166, \"c\": -2172, \"d\": -77676}", "seed": "13642947746090472104", "semantic_fingerprint": "sha256:f8f6c0710c101580fb4f9536d9c1bb40cab3169e8c89e3bcde73427301633723", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006341", "prompt": "Calculate: -33441 / (-7064) * (-4212)", "solution_steps": ["Divide: -33441 / (-7064) = 33441/7064", "Multiply: (33441/7064) * (-4212) = -35213373/1766"], "final_answer": "-35213373/1766", "answer_type": "rational", "kind": "expression", "math_text": "-33441 / (-7064) * (-4212)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33441, \"b\": -7064, \"c\": -4212}", "seed": "16899197242018955839", "semantic_fingerprint": "sha256:d310131844c493b8299bf29545e89c92f4c27275f32ef3cff09cda6a85f9098a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006342", "prompt": "Solve the equation -14x + 76643 = 31(x - 75794) - 9090 for x.", "solution_steps": ["Expand: -14x + 76643 = 31x - 2349614 - 9090", "Combine constants: -14x + 76643 = 31x - 2358704", "Subtract 31x from both sides: -45x + 76643 = -2358704", "Subtract 76643 from both sides: -45x = -2435347", "Divide both sides by -45: x = 2435347/45"], "final_answer": "2435347/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x + 76643 = 31(x - 75794) - 9090", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 76643, \"c\": 31, \"d\": 75794, \"e\": 9090}", "seed": "10800040809077161057", "semantic_fingerprint": "sha256:b0f02d98cf4e880e804fd51e933728c12fc66bda11fa4b0efe54859a32e4de5e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006343", "prompt": "What value of x satisfies 13(x + 8874) = 39(x + 3431) - 19201?", "solution_steps": ["Expand: 13x + 115362 = 39(x + 3431) - 19201", "Expand: 13x + 115362 = 39x + 133809 - 19201", "Combine constants: 13x + 115362 = 39x + 114608", "Subtract 39x from both sides: -26x + 115362 = 114608", "Subtract 115362 from both sides: -26x = -754", "Divide both sides by -26: x = 29"], "final_answer": "29", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 8874) = 39(x + 3431) - 19201", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 8874, \"c\": 39, \"d\": 3431, \"f\": -19201, \"x\": 29}", "seed": "8135125225058867307", "semantic_fingerprint": "sha256:eee2e90640e0bcdbaec2ed26a29aece80157777db82060d92a5d4a3eae2d5fdc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006344", "prompt": "What is -1000 + (-8766) - (-6853)?", "solution_steps": ["Add: -1000 + (-8766) = -9766", "Subtract: -9766 - (-6853) = -2913"], "final_answer": "-2913", "answer_type": "integer", "kind": "expression", "math_text": "-1000 + (-8766) - (-6853)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1000, \"b\": -8766, \"c\": -6853}", "seed": "6069153352424142351", "semantic_fingerprint": "sha256:4773e7fb5899f0846844b242e37053362a5797cf7d30793a15ba9181bfbc7f36", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006345", "prompt": "What is 94158 * (-8064)?", "solution_steps": ["Multiply: 94158 * (-8064) = -759290112"], "final_answer": "-759290112", "answer_type": "integer", "kind": "expression", "math_text": "94158 * (-8064)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94158, \"b\": -8064}", "seed": "4938303227850480997", "semantic_fingerprint": "sha256:409a01cd2aa7a5d2f5766ef2330aff1b87a55dc157039ca3c8a25afd2aed476b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006346", "prompt": "Compute: (-69599 + 6352) / 4524", "solution_steps": ["Add: -69599 + 6352 = -63247", "Divide: -63247 / 4524 = -63247/4524"], "final_answer": "-63247/4524", "answer_type": "rational", "kind": "expression", "math_text": "(-69599 + 6352) / 4524", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69599, \"b\": 6352, \"c\": 4524}", "seed": "14441111888088178198", "semantic_fingerprint": "sha256:e6800f817b74561d19bba973719b16d93ce74ac1221225c387fc032ee6df8c3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006347", "prompt": "What is -8159 + (-1765 - 75949 / (-7104 - 5765))?", "solution_steps": ["Subtract: -7104 - 5765 = -12869", "Divide: 75949 / (-12869) = -75949/12869", "Subtract: -1765 - (-75949/12869) = -22637836/12869", "Add: -8159 + (-22637836/12869) = -127636007/12869"], "final_answer": "-127636007/12869", "answer_type": "rational", "kind": "expression", "math_text": "-8159 + (-1765 - 75949 / (-7104 - 5765))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8159, \"b\": -1765, \"c\": 75949, \"d\": -7104, \"e\": 5765}", "seed": "10405473959001272639", "semantic_fingerprint": "sha256:430f2b0976bbc9b94293dbbb6f4c7ac8d80f02cf66e18bc54b946264cbd38743", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006348", "prompt": "Evaluate: -65191 - (-3478) * 5165", "solution_steps": ["Multiply: -3478 * 5165 = -17963870", "Subtract: -65191 - (-17963870) = 17898679"], "final_answer": "17898679", "answer_type": "integer", "kind": "expression", "math_text": "-65191 - (-3478) * 5165", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65191, \"b\": -3478, \"c\": 5165}", "seed": "15027322445020171393", "semantic_fingerprint": "sha256:2e3de0d314a2a81b446cdb2653ca83c0ec7f879f65f7688372fad56ca26e3e28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006349", "prompt": "Evaluate: (27809 + (-1360)) / (-1995) * (-9400 - 4048)", "solution_steps": ["Add: 27809 + (-1360) = 26449", "Divide: 26449 / (-1995) = -26449/1995", "Subtract: -9400 - 4048 = -13448", "Multiply: (-26449/1995) * (-13448) = 355686152/1995"], "final_answer": "355686152/1995", "answer_type": "rational", "kind": "expression", "math_text": "(27809 + (-1360)) / (-1995) * (-9400 - 4048)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27809, \"b\": -1360, \"c\": -1995, \"d\": -9400, \"e\": 4048}", "seed": "7577775655502242387", "semantic_fingerprint": "sha256:4a6464b3f85dbb78186f8154c0d355cd16e6979016d2460b49436445c9931cf1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006350", "prompt": "What is 3081 / (-84251 - (-7092) - (-21217 + (-1567)))?", "solution_steps": ["Subtract: -84251 - (-7092) = -77159", "Add: -21217 + (-1567) = -22784", "Subtract: -77159 - (-22784) = -54375", "Divide: 3081 / (-54375) = -1027/18125"], "final_answer": "-1027/18125", "answer_type": "rational", "kind": "expression", "math_text": "3081 / (-84251 - (-7092) - (-21217 + (-1567)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3081, \"b\": -84251, \"c\": -7092, \"d\": -21217, \"e\": -1567}", "seed": "4271349079885089836", "semantic_fingerprint": "sha256:b3299f4e7fcf9d87485360e7da84b1373fd71863dae5f38a82427dd97b6461b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006351", "prompt": "Compute: -7772 - 3924 - (6843 + 49154)", "solution_steps": ["Subtract: -7772 - 3924 = -11696", "Add: 6843 + 49154 = 55997", "Subtract: -11696 - 55997 = -67693"], "final_answer": "-67693", "answer_type": "integer", "kind": "expression", "math_text": "-7772 - 3924 - (6843 + 49154)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7772, \"b\": 3924, \"c\": 6843, \"d\": 49154}", "seed": "1980728636741782909", "semantic_fingerprint": "sha256:e166b5e106fda39a91f254f6cb441238cb9fae8c29357fb2718b12af23308c6c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006352", "prompt": "Compute: -2753 / ((-65948 + (-92719)) / (-4966))", "solution_steps": ["Add: -65948 + (-92719) = -158667", "Divide: -158667 / (-4966) = 158667/4966", "Divide: -2753 / (158667/4966) = -13671398/158667"], "final_answer": "-13671398/158667", "answer_type": "rational", "kind": "expression", "math_text": "-2753 / ((-65948 + (-92719)) / (-4966))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2753, \"b\": -65948, \"c\": -92719, \"d\": -4966}", "seed": "16765733743363070075", "semantic_fingerprint": "sha256:affe86509d1cd8dee4f040b0800eb4912309feac235cb20b3522ff9a64b66ae0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006353", "prompt": "Find x: 14(x - 2994) - 90984 = 33(x + 64359)", "solution_steps": ["Expand: 14x - 41916 - 90984 = 33(x + 64359)", "Expand: 14x - 41916 - 90984 = 33x + 2123847", "Combine constants: 14x - 132900 = 33x + 2123847", "Subtract 33x from both sides: -19x - 132900 = 2123847", "Add 132900 to both sides: -19x = 2256747", "Divide both sides by -19: x = -2256747/19"], "final_answer": "-2256747/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 2994) - 90984 = 33(x + 64359)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2994, \"c\": 90984, \"d\": 33, \"e\": 64359}", "seed": "5033382492594086018", "semantic_fingerprint": "sha256:1b1f9f23581f16bbcfddb7372588256978654aeda64d19a1b6e12f46bdb46292", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006354", "prompt": "Evaluate: (-9594 - 4395) / (4131 / (-64479 + 7249 + (-9898)))", "solution_steps": ["Subtract: -9594 - 4395 = -13989", "Add: -64479 + 7249 = -57230", "Add: -57230 + (-9898) = -67128", "Divide: 4131 / (-67128) = -1377/22376", "Divide: -13989 / (-1377/22376) = 104339288/459"], "final_answer": "104339288/459", "answer_type": "rational", "kind": "expression", "math_text": "(-9594 - 4395) / (4131 / (-64479 + 7249 + (-9898)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9594, \"b\": 4395, \"c\": 4131, \"d\": -64479, \"e\": 7249, \"f\": -9898}", "seed": "7625049525803750434", "semantic_fingerprint": "sha256:ccec4204ddcd2b96241d6a6743ec8d6785c0a3b5ebde31c4521233cf1f507393", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006355", "prompt": "Compute: -3009 / 4754 + 28403 * (-2379)", "solution_steps": ["Divide: -3009 / 4754 = -3009/4754", "Multiply: 28403 * (-2379) = -67570737", "Add: -3009/4754 + (-67570737) = -321231286707/4754"], "final_answer": "-321231286707/4754", "answer_type": "rational", "kind": "expression", "math_text": "-3009 / 4754 + 28403 * (-2379)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3009, \"b\": 4754, \"c\": 28403, \"d\": -2379}", "seed": "11938409898618981032", "semantic_fingerprint": "sha256:99c668f98722973f438a1cd50fd9df4a5c4becacb2444a195bc47f0013e50209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006356", "prompt": "What is 6981 - (79711 * 5144 + (-3663) * (-6447))?", "solution_steps": ["Multiply: 79711 * 5144 = 410033384", "Multiply: -3663 * (-6447) = 23615361", "Add: 410033384 + 23615361 = 433648745", "Subtract: 6981 - 433648745 = -433641764"], "final_answer": "-433641764", "answer_type": "integer", "kind": "expression", "math_text": "6981 - (79711 * 5144 + (-3663) * (-6447))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6981, \"b\": 79711, \"c\": 5144, \"d\": -3663, \"e\": -6447}", "seed": "5473349249006757995", "semantic_fingerprint": "sha256:5b52497041e2d08f3052df8dac62b6924854efa7901ff443ec8e92447c4ef4ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006357", "prompt": "Calculate: 2432 - (-29604 - (-4275))", "solution_steps": ["Subtract: -29604 - (-4275) = -25329", "Subtract: 2432 - (-25329) = 27761"], "final_answer": "27761", "answer_type": "integer", "kind": "expression", "math_text": "2432 - (-29604 - (-4275))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2432, \"b\": -29604, \"c\": -4275}", "seed": "14946078372144016771", "semantic_fingerprint": "sha256:8f6e6abdb1dc1d5761bd9a73d1d7f51052193bc2340e20e2204d35cf6cec10f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006358", "prompt": "Compute: (94895 + (-68172)) / (60603 - 74737 - (-4536)) - 67587", "solution_steps": ["Add: 94895 + (-68172) = 26723", "Subtract: 60603 - 74737 = -14134", "Subtract: -14134 - (-4536) = -9598", "Divide: 26723 / (-9598) = -26723/9598", "Subtract: -26723/9598 - 67587 = -648726749/9598"], "final_answer": "-648726749/9598", "answer_type": "rational", "kind": "expression", "math_text": "(94895 + (-68172)) / (60603 - 74737 - (-4536)) - 67587", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (- (- n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 94895, \"b\": -68172, \"c\": 60603, \"d\": 74737, \"e\": -4536, \"f\": 67587}", "seed": "9174205588233270505", "semantic_fingerprint": "sha256:8fdb4cdf29c2a2b2f237883e0d6f21a101fe836fd921070d8071c5c6641b3094", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006359", "prompt": "Solve the equation 32x = x + 2759 for x.", "solution_steps": ["Subtract x from both sides: 31x = 2759", "Divide both sides by 31: x = 89"], "final_answer": "89", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = x + 2759", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": 2759, \"x\": 89}", "seed": "14748275549559944637", "semantic_fingerprint": "sha256:a2f6ef4e2752ff58b82b321135b20b13bcb31acc334ef09e0627ec9d9fc814cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006360", "prompt": "What is -1912 + (-58154 + (-28802))?", "solution_steps": ["Add: -58154 + (-28802) = -86956", "Add: -1912 + (-86956) = -88868"], "final_answer": "-88868", "answer_type": "integer", "kind": "expression", "math_text": "-1912 + (-58154 + (-28802))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1912, \"b\": -58154, \"c\": -28802}", "seed": "3664136577441873599", "semantic_fingerprint": "sha256:0e31486aaa0a47e416f3286ec7f72293907ce49f4fcf15e49b3dea6e6c0158b9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006361", "prompt": "Compute: 42690 - (-21066) + 8716 - 11205", "solution_steps": ["Subtract: 42690 - (-21066) = 63756", "Add: 63756 + 8716 = 72472", "Subtract: 72472 - 11205 = 61267"], "final_answer": "61267", "answer_type": "integer", "kind": "expression", "math_text": "42690 - (-21066) + 8716 - 11205", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 42690, \"b\": -21066, \"c\": 8716, \"d\": 11205}", "seed": "7632254996724756075", "semantic_fingerprint": "sha256:6c7192d09ce6c77f9a05d2f79ab3e828f5f8714dfd9201ea71aa55e21fb9aa56", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006362", "prompt": "Calculate: 4651 * (-96692 - 4491) - 4146", "solution_steps": ["Subtract: -96692 - 4491 = -101183", "Multiply: 4651 * (-101183) = -470602133", "Subtract: -470602133 - 4146 = -470606279"], "final_answer": "-470606279", "answer_type": "integer", "kind": "expression", "math_text": "4651 * (-96692 - 4491) - 4146", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4651, \"b\": -96692, \"c\": 4491, \"d\": 4146}", "seed": "14397272125370358498", "semantic_fingerprint": "sha256:b845fc92e4f941794764f9e8fb56619918b9cdc3f1028038dd1e578aaf123899", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006363", "prompt": "Solve the equation 27(x + 6557) - 5714 = 38x - 5513 for x.", "solution_steps": ["Expand: 27x + 177039 - 5714 = 38x - 5513", "Combine constants: 27x + 171325 = 38x - 5513", "Subtract 38x from both sides: -11x + 171325 = -5513", "Subtract 171325 from both sides: -11x = -176838", "Divide both sides by -11: x = 176838/11"], "final_answer": "176838/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 6557) - 5714 = 38x - 5513", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 6557, \"c\": 5714, \"d\": 38, \"e\": 5513}", "seed": "5274445958372474211", "semantic_fingerprint": "sha256:3b67889b87607bbcc840689eae7400ac8b876cdc91ac552bf2cf4f497f008e85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006364", "prompt": "What is (-4714 + 92535) / 10840?", "solution_steps": ["Add: -4714 + 92535 = 87821", "Divide: 87821 / 10840 = 87821/10840"], "final_answer": "87821/10840", "answer_type": "rational", "kind": "expression", "math_text": "(-4714 + 92535) / 10840", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4714, \"b\": 92535, \"c\": 10840}", "seed": "3056485097096703965", "semantic_fingerprint": "sha256:c4d2133dcc868567ae7bac52795e65d27b1c80e9116e8775c0261aea36a44f74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006365", "prompt": "What is -11570 / (-2091 - 1020)?", "solution_steps": ["Subtract: -2091 - 1020 = -3111", "Divide: -11570 / (-3111) = 11570/3111"], "final_answer": "11570/3111", "answer_type": "rational", "kind": "expression", "math_text": "-11570 / (-2091 - 1020)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11570, \"b\": -2091, \"c\": 1020}", "seed": "12817677324191246317", "semantic_fingerprint": "sha256:27b583d42d023fa5387beea9e5e36ea8a584326ef522791f2b714be8cb65f360", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006366", "prompt": "What is 6444 + (-4923)?", "solution_steps": ["Add: 6444 + (-4923) = 1521"], "final_answer": "1521", "answer_type": "integer", "kind": "expression", "math_text": "6444 + (-4923)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6444, \"b\": -4923}", "seed": "3158385563127245694", "semantic_fingerprint": "sha256:0a34f5ca9568bd3e2380f4493e3a8d29a84cb4f1e20a35b6e3023abad348061b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006367", "prompt": "What value of x satisfies 39(x - 6042) - 6033 = 24x - 95476?", "solution_steps": ["Expand: 39x - 235638 - 6033 = 24x - 95476", "Combine constants: 39x - 241671 = 24x - 95476", "Subtract 24x from both sides: 15x - 241671 = -95476", "Add 241671 to both sides: 15x = 146195", "Divide both sides by 15: x = 29239/3"], "final_answer": "29239/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 6042) - 6033 = 24x - 95476", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 6042, \"c\": 6033, \"d\": 24, \"e\": 95476}", "seed": "8828849489314165542", "semantic_fingerprint": "sha256:d63e4d65f12f49cf0e3c69c02af48f0cf08b7c7697621438d0d2656682fa9005", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006368", "prompt": "What value of x satisfies 34x - 9887 = x - 3518?", "solution_steps": ["Subtract x from both sides: 33x - 9887 = -3518", "Add 9887 to both sides: 33x = 6369", "Divide both sides by 33: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 9887 = x - 3518", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 9887, \"d\": -3518, \"x\": 193}", "seed": "16415267262140089596", "semantic_fingerprint": "sha256:c30c95d85d5763c003b2e280674a247d0554626d59bbf0ffd450b01bacad9d44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006369", "prompt": "What value of x satisfies 18x - 9614 = -23(x + 4215) - 9195?", "solution_steps": ["Expand: 18x - 9614 = -23x - 96945 - 9195", "Combine constants: 18x - 9614 = -23x - 106140", "Add 23x to both sides: 41x - 9614 = -106140", "Add 9614 to both sides: 41x = -96526", "Divide both sides by 41: x = -96526/41"], "final_answer": "-96526/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x - 9614 = -23(x + 4215) - 9195", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 9614, \"c\": -23, \"d\": 4215, \"e\": 9195}", "seed": "17528711248781194301", "semantic_fingerprint": "sha256:f3d8ce2654143b5db56d50f70be5fb8e6e0f9a6500d0f3977c473d5610744901", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006370", "prompt": "What value of x satisfies 36(x + 27088) + 27824 = 20x - 6758?", "solution_steps": ["Expand: 36x + 975168 + 27824 = 20x - 6758", "Combine constants: 36x + 1002992 = 20x - 6758", "Subtract 20x from both sides: 16x + 1002992 = -6758", "Subtract 1002992 from both sides: 16x = -1009750", "Divide both sides by 16: x = -504875/8"], "final_answer": "-504875/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 27088) + 27824 = 20x - 6758", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 27088, \"c\": 27824, \"d\": 20, \"e\": 6758}", "seed": "849103691050877029", "semantic_fingerprint": "sha256:b7cd858506b10af718af2237ad1d05045218dbf31621ede974bd2f4ed300b0f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006371", "prompt": "Solve for x: -36(x - 6050) - 1628 = 26(x + 4994) + 83166", "solution_steps": ["Expand: -36x + 217800 - 1628 = 26(x + 4994) + 83166", "Expand: -36x + 217800 - 1628 = 26x + 129844 + 83166", "Combine constants: -36x + 216172 = 26x + 129844 + 83166", "Combine constants: -36x + 216172 = 26x + 213010", "Subtract 26x from both sides: -62x + 216172 = 213010", "Subtract 216172 from both sides: -62x = -3162", "Divide both sides by -62: x = 51"], "final_answer": "51", "answer_type": "integer", "kind": "linear_equation", "math_text": "-36(x - 6050) - 1628 = 26(x + 4994) + 83166", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 6050, \"c\": 1628, \"d\": 26, \"e\": 4994, \"g\": 83166, \"x\": 51}", "seed": "1635212222695045747", "semantic_fingerprint": "sha256:3a679263c7403f38e8bf7d54c0256747d5f6660d9054598325772a1854603579", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006372", "prompt": "Compute: -41114 / 89827", "solution_steps": ["Divide: -41114 / 89827 = -41114/89827"], "final_answer": "-41114/89827", "answer_type": "rational", "kind": "expression", "math_text": "-41114 / 89827", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41114, \"b\": 89827}", "seed": "16697189474376606136", "semantic_fingerprint": "sha256:776419af109912d7c191a5132f1bcacf75683c8462fdaafbd9c7a1bd56138a49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006373", "prompt": "Compute: 41763 / 1457 - (-4617)", "solution_steps": ["Divide: 41763 / 1457 = 41763/1457", "Subtract: 41763/1457 - (-4617) = 6768732/1457"], "final_answer": "6768732/1457", "answer_type": "rational", "kind": "expression", "math_text": "41763 / 1457 - (-4617)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41763, \"b\": 1457, \"c\": -4617}", "seed": "17466832786431341862", "semantic_fingerprint": "sha256:a5a501526ceb7bea63a8ac3c553e1eb7b6f83679adacbee38036e4bd322be6c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006374", "prompt": "What is 90456 + (-1839 + (-3582)) - (54577 / (-91409) + (-24096))?", "solution_steps": ["Add: -1839 + (-3582) = -5421", "Add: 90456 + (-5421) = 85035", "Divide: 54577 / (-91409) = -54577/91409", "Add: -54577/91409 + (-24096) = -2202645841/91409", "Subtract: 85035 - (-2202645841/91409) = 9975610156/91409"], "final_answer": "9975610156/91409", "answer_type": "rational", "kind": "expression", "math_text": "90456 + (-1839 + (-3582)) - (54577 / (-91409) + (-24096))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 90456, \"b\": -1839, \"c\": -3582, \"d\": 54577, \"e\": -91409, \"f\": -24096}", "seed": "17999682091366050165", "semantic_fingerprint": "sha256:f19a617d1c995f6d88e7d5400afc7fa9d47c033980022373cdc41712bb6145a6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006375", "prompt": "Evaluate: 74410 + (-7549 * (-7955) / 3710 + (-76909 + 1131))", "solution_steps": ["Multiply: -7549 * (-7955) = 60052295", "Divide: 60052295 / 3710 = 12010459/742", "Add: -76909 + 1131 = -75778", "Add: 12010459/742 + (-75778) = -44216817/742", "Add: 74410 + (-44216817/742) = 10995403/742"], "final_answer": "10995403/742", "answer_type": "rational", "kind": "expression", "math_text": "74410 + (-7549 * (-7955) / 3710 + (-76909 + 1131))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 74410, \"b\": -7549, \"c\": -7955, \"d\": 3710, \"e\": -76909, \"f\": 1131}", "seed": "10261984687053327306", "semantic_fingerprint": "sha256:719c2b689d08b9c53f5ab0d575117b859275b179f58f6a001859c35a7a51d53f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006376", "prompt": "Compute: (-75512 + 39087) * (-9859)", "solution_steps": ["Add: -75512 + 39087 = -36425", "Multiply: -36425 * (-9859) = 359114075"], "final_answer": "359114075", "answer_type": "integer", "kind": "expression", "math_text": "(-75512 + 39087) * (-9859)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75512, \"b\": 39087, \"c\": -9859}", "seed": "9147368783862000790", "semantic_fingerprint": "sha256:1a75e64d559f0d0cf4cc8387b622e578b1fc487fb75cf2fc3d1ff09c9ee081fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006377", "prompt": "What is 89933 * (9630 - 95869 - (-8460 - (-3999)) * (-1827))?", "solution_steps": ["Subtract: 9630 - 95869 = -86239", "Subtract: -8460 - (-3999) = -4461", "Multiply: -4461 * (-1827) = 8150247", "Subtract: -86239 - 8150247 = -8236486", "Multiply: 89933 * (-8236486) = -740731895438"], "final_answer": "-740731895438", "answer_type": "integer", "kind": "expression", "math_text": "89933 * (9630 - 95869 - (-8460 - (-3999)) * (-1827))", "variable": null, "family": "expression_5op", "shape": "(* n (- (- n n) (* (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 89933, \"b\": 9630, \"c\": 95869, \"d\": -8460, \"e\": -3999, \"f\": -1827}", "seed": "1323450813146886919", "semantic_fingerprint": "sha256:267889d9f39aae9dcab08dd97df61a0f52bb2305f350149b40f81d5abb921b42", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006378", "prompt": "Calculate: 69329 * 30118 / 26462", "solution_steps": ["Multiply: 69329 * 30118 = 2088050822", "Divide: 2088050822 / 26462 = 1044025411/13231"], "final_answer": "1044025411/13231", "answer_type": "rational", "kind": "expression", "math_text": "69329 * 30118 / 26462", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69329, \"b\": 30118, \"c\": 26462}", "seed": "7441834989465255057", "semantic_fingerprint": "sha256:8bb618a3949420ebeadb50fe6e23d7cf4c92977c04c3058068dbe858870722b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006379", "prompt": "Calculate: 3787 - 21024 * (-8996)", "solution_steps": ["Multiply: 21024 * (-8996) = -189131904", "Subtract: 3787 - (-189131904) = 189135691"], "final_answer": "189135691", "answer_type": "integer", "kind": "expression", "math_text": "3787 - 21024 * (-8996)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3787, \"b\": 21024, \"c\": -8996}", "seed": "3799835076712441864", "semantic_fingerprint": "sha256:4d929293ac30f6ca69da1d4e873eded6b02af95a29f6cd466a6cef7df59388d3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006380", "prompt": "Evaluate: 46262 + (-99661) - (-47167) * (4944 / 2197)", "solution_steps": ["Add: 46262 + (-99661) = -53399", "Divide: 4944 / 2197 = 4944/2197", "Multiply: -47167 * (4944/2197) = -233193648/2197", "Subtract: -53399 - (-233193648/2197) = 115876045/2197"], "final_answer": "115876045/2197", "answer_type": "rational", "kind": "expression", "math_text": "46262 + (-99661) - (-47167) * (4944 / 2197)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 46262, \"b\": -99661, \"c\": -47167, \"d\": 4944, \"e\": 2197}", "seed": "151042293902643575", "semantic_fingerprint": "sha256:b8ebb7eb7b113283b017e180070cda2ae9add51eef9d037d9515363e76f609f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006381", "prompt": "Evaluate: (-7934 + (-9732)) / (-9409 + 34670) + 6265", "solution_steps": ["Add: -7934 + (-9732) = -17666", "Add: -9409 + 34670 = 25261", "Divide: -17666 / 25261 = -17666/25261", "Add: -17666/25261 + 6265 = 158242499/25261"], "final_answer": "158242499/25261", "answer_type": "rational", "kind": "expression", "math_text": "(-7934 + (-9732)) / (-9409 + 34670) + 6265", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7934, \"b\": -9732, \"c\": -9409, \"d\": 34670, \"e\": 6265}", "seed": "11537276606922134950", "semantic_fingerprint": "sha256:23113aa5421b1f9bbe4a81d61b32680c39529e2f283e318419c01450ff14a519", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006382", "prompt": "Calculate: (4182 - (-3369)) * 44362", "solution_steps": ["Subtract: 4182 - (-3369) = 7551", "Multiply: 7551 * 44362 = 334977462"], "final_answer": "334977462", "answer_type": "integer", "kind": "expression", "math_text": "(4182 - (-3369)) * 44362", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4182, \"b\": -3369, \"c\": 44362}", "seed": "481527896653351291", "semantic_fingerprint": "sha256:f330d61f6e3161b77644f97fd65bdb9b10e40bf4b0f22a920ee767e79d5b8372", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006383", "prompt": "Compute: (-6650 - (-18388)) * 1273", "solution_steps": ["Subtract: -6650 - (-18388) = 11738", "Multiply: 11738 * 1273 = 14942474"], "final_answer": "14942474", "answer_type": "integer", "kind": "expression", "math_text": "(-6650 - (-18388)) * 1273", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6650, \"b\": -18388, \"c\": 1273}", "seed": "5738718919591634285", "semantic_fingerprint": "sha256:74ffee4df9434d677fe33bb1804a1b7e9bd032335795441d8cc48b8668e4424c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006384", "prompt": "Calculate: 78358 / (-80822 * (-1160))", "solution_steps": ["Multiply: -80822 * (-1160) = 93753520", "Divide: 78358 / 93753520 = 193/230920"], "final_answer": "193/230920", "answer_type": "rational", "kind": "expression", "math_text": "78358 / (-80822 * (-1160))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78358, \"b\": -80822, \"c\": -1160}", "seed": "8356318813868535986", "semantic_fingerprint": "sha256:b6a0df5ad6b74f966338eb4fdafce68552b1bf5e746371ff3f064b7b2dc6a375", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006385", "prompt": "Evaluate: -27190 + 7301 + 2761", "solution_steps": ["Add: -27190 + 7301 = -19889", "Add: -19889 + 2761 = -17128"], "final_answer": "-17128", "answer_type": "integer", "kind": "expression", "math_text": "-27190 + 7301 + 2761", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27190, \"b\": 7301, \"c\": 2761}", "seed": "7026361242085617896", "semantic_fingerprint": "sha256:34ead7eed09bddbe0cb080f008fadd363853a9af06dba7ac15df7d4b53e1de6f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006386", "prompt": "Evaluate: 1316 - 9521 - (-6038 * 8028 - (-8335 + 3855))", "solution_steps": ["Subtract: 1316 - 9521 = -8205", "Multiply: -6038 * 8028 = -48473064", "Add: -8335 + 3855 = -4480", "Subtract: -48473064 - (-4480) = -48468584", "Subtract: -8205 - (-48468584) = 48460379"], "final_answer": "48460379", "answer_type": "integer", "kind": "expression", "math_text": "1316 - 9521 - (-6038 * 8028 - (-8335 + 3855))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (* n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1316, \"b\": 9521, \"c\": -6038, \"d\": 8028, \"e\": -8335, \"f\": 3855}", "seed": "14063263835641657956", "semantic_fingerprint": "sha256:6782ba9de6bd131e18180fea9d63413c39c8a0472ea0870097bd81b19b7ecec8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006387", "prompt": "Solve the equation 34x = 36(x - 55795) for x.", "solution_steps": ["Expand: 34x = 36x - 2008620", "Subtract 36x from both sides: -2x = -2008620", "Divide both sides by -2: x = 1004310"], "final_answer": "1004310", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x = 36(x - 55795)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 36, \"c\": 55795}", "seed": "4585797480406329984", "semantic_fingerprint": "sha256:4c0a58c958312934bdfe99793f54672f5b3598777ad8af958f6c161a77f547e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006388", "prompt": "Solve the equation x - 2776 = -2590 for x.", "solution_steps": ["Add 2776 to both sides: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2776 = -2590", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2776, \"c\": -2590, \"x\": 186}", "seed": "1834170453086321139", "semantic_fingerprint": "sha256:351b37f503fe3d22e90e5fe05e7d09bb5ed50cb9eaab5ca38ee4ea20ad55a0b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006389", "prompt": "Compute: 96750 - (-5159 / 64306 + (-94251))", "solution_steps": ["Divide: -5159 / 64306 = -469/5846", "Add: -469/5846 + (-94251) = -550991815/5846", "Subtract: 96750 - (-550991815/5846) = 1116592315/5846"], "final_answer": "1116592315/5846", "answer_type": "rational", "kind": "expression", "math_text": "96750 - (-5159 / 64306 + (-94251))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96750, \"b\": -5159, \"c\": 64306, \"d\": -94251}", "seed": "18012236861041127233", "semantic_fingerprint": "sha256:8e0969a5408ab7bb759e91be966dad964a7be067d94367a88401d3cde653adb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006390", "prompt": "Solve the equation -40(x - 35512) = 39x + 9678 for x.", "solution_steps": ["Expand: -40x + 1420480 = 39x + 9678", "Subtract 39x from both sides: -79x + 1420480 = 9678", "Subtract 1420480 from both sides: -79x = -1410802", "Divide both sides by -79: x = 1410802/79"], "final_answer": "1410802/79", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 35512) = 39x + 9678", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 35512, \"c\": 39, \"d\": 9678}", "seed": "9336799258218022872", "semantic_fingerprint": "sha256:463936ea7f1587664098b57865c404327d3e3452359364bfe9f62726686419cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006391", "prompt": "Compute: -4904 * (-83186) + (8062 + 6328)", "solution_steps": ["Multiply: -4904 * (-83186) = 407944144", "Add: 8062 + 6328 = 14390", "Add: 407944144 + 14390 = 407958534"], "final_answer": "407958534", "answer_type": "integer", "kind": "expression", "math_text": "-4904 * (-83186) + (8062 + 6328)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4904, \"b\": -83186, \"c\": 8062, \"d\": 6328}", "seed": "8782500683169576773", "semantic_fingerprint": "sha256:41a01aaa2ef3e95f8615c9ce7378806f2de6f476ed4ee5fae97d28ae0174143a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006392", "prompt": "Solve for x: 19(x - 83757) - 34670 = x - 55646", "solution_steps": ["Expand: 19x - 1591383 - 34670 = x - 55646", "Combine constants: 19x - 1626053 = x - 55646", "Subtract x from both sides: 18x - 1626053 = -55646", "Add 1626053 to both sides: 18x = 1570407", "Divide both sides by 18: x = 523469/6"], "final_answer": "523469/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 83757) - 34670 = x - 55646", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 83757, \"c\": 34670, \"d\": 55646}", "seed": "15516280584649422583", "semantic_fingerprint": "sha256:f1ddadeace69f1795485428b743c1d1edb0b6dfe63aab07f76e6d53d6dda2ea8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006393", "prompt": "What value of x satisfies -23(x - 3104) - 84618 = x?", "solution_steps": ["Expand: -23x + 71392 - 84618 = x", "Combine constants: -23x - 13226 = x", "Subtract x from both sides: -24x - 13226 = 0", "Add 13226 to both sides: -24x = 13226", "Divide both sides by -24: x = -6613/12"], "final_answer": "-6613/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x - 3104) - 84618 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 3104, \"c\": 84618}", "seed": "15849323899532017074", "semantic_fingerprint": "sha256:75a5ee6eca8c31d05395719c29392dd80d5e5f6d57e87ae2408b7b77d2d29446", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006394", "prompt": "What is 57008 - (-7757) / 3889?", "solution_steps": ["Divide: -7757 / 3889 = -7757/3889", "Subtract: 57008 - (-7757/3889) = 221711869/3889"], "final_answer": "221711869/3889", "answer_type": "rational", "kind": "expression", "math_text": "57008 - (-7757) / 3889", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57008, \"b\": -7757, \"c\": 3889}", "seed": "7815732445049681273", "semantic_fingerprint": "sha256:c9a72a888a180222866f2e9deb008171a3e73ac31c05b5214ab7cbf6dc86c813", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006395", "prompt": "What value of x satisfies 19(x - 7671) = 17(x - 6581) - 33684?", "solution_steps": ["Expand: 19x - 145749 = 17(x - 6581) - 33684", "Expand: 19x - 145749 = 17x - 111877 - 33684", "Combine constants: 19x - 145749 = 17x - 145561", "Subtract 17x from both sides: 2x - 145749 = -145561", "Add 145749 to both sides: 2x = 188", "Divide both sides by 2: x = 94"], "final_answer": "94", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 7671) = 17(x - 6581) - 33684", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7671, \"c\": 17, \"d\": 6581, \"f\": -33684, \"x\": 94}", "seed": "6022662182673582218", "semantic_fingerprint": "sha256:61200e31121acd0d19ec9a938b82c389c3c918c0cf993cd655a5abd6f04bdc51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006396", "prompt": "Evaluate: -5983 * (-69733 / (-3398))", "solution_steps": ["Divide: -69733 / (-3398) = 69733/3398", "Multiply: -5983 * (69733/3398) = -417212539/3398"], "final_answer": "-417212539/3398", "answer_type": "rational", "kind": "expression", "math_text": "-5983 * (-69733 / (-3398))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5983, \"b\": -69733, \"c\": -3398}", "seed": "12046480439096913129", "semantic_fingerprint": "sha256:a66fb7ca6d82486ded7f0b733a341f48bb1af76d67542ffed9d71d8e5d7e6c58", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006397", "prompt": "Compute: 16945 + (-8816)", "solution_steps": ["Add: 16945 + (-8816) = 8129"], "final_answer": "8129", "answer_type": "integer", "kind": "expression", "math_text": "16945 + (-8816)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16945, \"b\": -8816}", "seed": "15951105259608368108", "semantic_fingerprint": "sha256:a9c29d3207205b9f2e5515def5124fdc670f5470c64d520e67bec5bfdac2c0d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006398", "prompt": "Solve the equation 31x + 3659 = 2264 for x.", "solution_steps": ["Subtract 3659 from both sides: 31x = -1395", "Divide both sides by 31: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 3659 = 2264", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3659, \"d\": 2264, \"x\": -45}", "seed": "7712102932801459237", "semantic_fingerprint": "sha256:d9b8e0dbf674733e9004fbc81c542cc34b8ecfd4b64f584355f34ad9327984ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006399", "prompt": "Calculate: -98251 + (-95163) - (-29680) - (67077 - (-20133))", "solution_steps": ["Add: -98251 + (-95163) = -193414", "Subtract: -193414 - (-29680) = -163734", "Subtract: 67077 - (-20133) = 87210", "Subtract: -163734 - 87210 = -250944"], "final_answer": "-250944", "answer_type": "integer", "kind": "expression", "math_text": "-98251 + (-95163) - (-29680) - (67077 - (-20133))", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -98251, \"b\": -95163, \"c\": -29680, \"d\": 67077, \"e\": -20133}", "seed": "10414250554140863511", "semantic_fingerprint": "sha256:a2d0cd617040b34709e9dc1e7bd913ba617ddc1f48033722fdb2e379b33fb4e9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006400", "prompt": "Solve the equation 33x - 80454 = 21x + 39620 for x.", "solution_steps": ["Subtract 21x from both sides: 12x - 80454 = 39620", "Add 80454 to both sides: 12x = 120074", "Divide both sides by 12: x = 60037/6"], "final_answer": "60037/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x - 80454 = 21x + 39620", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 80454, \"c\": 21, \"d\": 39620}", "seed": "1487771656414238507", "semantic_fingerprint": "sha256:f9753644d7af39db00e0a803af8bb042d8de9cd1d946ef1880ecdb443462f9ff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006401", "prompt": "Calculate: 6816 * (-4550 - (-48279))", "solution_steps": ["Subtract: -4550 - (-48279) = 43729", "Multiply: 6816 * 43729 = 298056864"], "final_answer": "298056864", "answer_type": "integer", "kind": "expression", "math_text": "6816 * (-4550 - (-48279))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6816, \"b\": -4550, \"c\": -48279}", "seed": "11670586118960739641", "semantic_fingerprint": "sha256:d15325ca026b677181c1fad01b38d620fca78d140fc8910bb2ab72dd6f05db0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006402", "prompt": "Calculate: -4518 * (2144 / (-7177))", "solution_steps": ["Divide: 2144 / (-7177) = -2144/7177", "Multiply: -4518 * (-2144/7177) = 9686592/7177"], "final_answer": "9686592/7177", "answer_type": "rational", "kind": "expression", "math_text": "-4518 * (2144 / (-7177))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4518, \"b\": 2144, \"c\": -7177}", "seed": "7279800334088836941", "semantic_fingerprint": "sha256:a498feadf3449329dcae310d07c43676d7c369fd6dca8211606fa25f7a579078", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006403", "prompt": "Compute: 4869 - (-9815)", "solution_steps": ["Subtract: 4869 - (-9815) = 14684"], "final_answer": "14684", "answer_type": "integer", "kind": "expression", "math_text": "4869 - (-9815)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4869, \"b\": -9815}", "seed": "668634276739332723", "semantic_fingerprint": "sha256:b654e3faafd8fa7b75f8b41e2124e3c1071dec5ca246ab5c18a7ca63349421e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006404", "prompt": "Evaluate: 7976 + 27650 + (92915 + 1725)", "solution_steps": ["Add: 7976 + 27650 = 35626", "Add: 92915 + 1725 = 94640", "Add: 35626 + 94640 = 130266"], "final_answer": "130266", "answer_type": "integer", "kind": "expression", "math_text": "7976 + 27650 + (92915 + 1725)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7976, \"b\": 27650, \"c\": 92915, \"d\": 1725}", "seed": "6885176733283473256", "semantic_fingerprint": "sha256:d4490e8c8ac18d60ab803658f77e40c16e1e96c305dd2194628b0038dbe134bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006405", "prompt": "Calculate: -9677 - (-45745 * (-1371) - (-83425)) - (-6079)", "solution_steps": ["Multiply: -45745 * (-1371) = 62716395", "Subtract: 62716395 - (-83425) = 62799820", "Subtract: -9677 - 62799820 = -62809497", "Subtract: -62809497 - (-6079) = -62803418"], "final_answer": "-62803418", "answer_type": "integer", "kind": "expression", "math_text": "-9677 - (-45745 * (-1371) - (-83425)) - (-6079)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9677, \"b\": -45745, \"c\": -1371, \"d\": -83425, \"e\": -6079}", "seed": "9947931051512382804", "semantic_fingerprint": "sha256:2e09d35c0b2ead5ebb294f478e2330e2e4a9b448b8257c5d2c4373f2f31b373b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006406", "prompt": "Compute: (1173 - (-85998)) / 63457", "solution_steps": ["Subtract: 1173 - (-85998) = 87171", "Divide: 87171 / 63457 = 87171/63457"], "final_answer": "87171/63457", "answer_type": "rational", "kind": "expression", "math_text": "(1173 - (-85998)) / 63457", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1173, \"b\": -85998, \"c\": 63457}", "seed": "13611169831392695841", "semantic_fingerprint": "sha256:9a1ff96bd42032b0e446451a5dd9e5551ee58065f85e834f1c30c70fed1fc4f8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006407", "prompt": "Compute: -9459 / (-3686 + 66105 + 74926)", "solution_steps": ["Add: -3686 + 66105 = 62419", "Add: 62419 + 74926 = 137345", "Divide: -9459 / 137345 = -9459/137345"], "final_answer": "-9459/137345", "answer_type": "rational", "kind": "expression", "math_text": "-9459 / (-3686 + 66105 + 74926)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9459, \"b\": -3686, \"c\": 66105, \"d\": 74926}", "seed": "9565234937767467186", "semantic_fingerprint": "sha256:269361ef7d7f51d798b22796e848583bf747ef86794df85ae6a6a738da132ecf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006408", "prompt": "Evaluate: -98692 * 7363 - 4229 * 71587", "solution_steps": ["Multiply: -98692 * 7363 = -726669196", "Multiply: 4229 * 71587 = 302741423", "Subtract: -726669196 - 302741423 = -1029410619"], "final_answer": "-1029410619", "answer_type": "integer", "kind": "expression", "math_text": "-98692 * 7363 - 4229 * 71587", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -98692, \"b\": 7363, \"c\": 4229, \"d\": 71587}", "seed": "3067761632079668715", "semantic_fingerprint": "sha256:d652058dd32e04ce7410135d8fda76609e47996f7bde8f148b13f5f41acd104d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006409", "prompt": "Evaluate: -7317 + (-6828 + 32743)", "solution_steps": ["Add: -6828 + 32743 = 25915", "Add: -7317 + 25915 = 18598"], "final_answer": "18598", "answer_type": "integer", "kind": "expression", "math_text": "-7317 + (-6828 + 32743)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7317, \"b\": -6828, \"c\": 32743}", "seed": "16140322204014075293", "semantic_fingerprint": "sha256:405aa304e884f49c3d575a4cd0fdf144a6b4cf5fc2ac1d4701601ddce86ee71e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006410", "prompt": "What is (-3051 + 7128 * (-2023)) * (-6497 + (-4511 + (-1987)))?", "solution_steps": ["Multiply: 7128 * (-2023) = -14419944", "Add: -3051 + (-14419944) = -14422995", "Add: -4511 + (-1987) = -6498", "Add: -6497 + (-6498) = -12995", "Multiply: -14422995 * (-12995) = 187426820025"], "final_answer": "187426820025", "answer_type": "integer", "kind": "expression", "math_text": "(-3051 + 7128 * (-2023)) * (-6497 + (-4511 + (-1987)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (* n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3051, \"b\": 7128, \"c\": -2023, \"d\": -6497, \"e\": -4511, \"f\": -1987}", "seed": "14272209219855805290", "semantic_fingerprint": "sha256:98fb5cb2ffdda775bf9e72027c9f307041b9cdf03d1c0eaf3580af592b8c161b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006411", "prompt": "Compute: -26015 * (-32565 + (33265 - (-4381)) - (-83509))", "solution_steps": ["Subtract: 33265 - (-4381) = 37646", "Add: -32565 + 37646 = 5081", "Subtract: 5081 - (-83509) = 88590", "Multiply: -26015 * 88590 = -2304668850"], "final_answer": "-2304668850", "answer_type": "integer", "kind": "expression", "math_text": "-26015 * (-32565 + (33265 - (-4381)) - (-83509))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26015, \"b\": -32565, \"c\": 33265, \"d\": -4381, \"e\": -83509}", "seed": "2745285636042606460", "semantic_fingerprint": "sha256:960512ad211610442937c4eab0fc24ecca06849ac58c43d94bd39848bd41b6bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006412", "prompt": "Evaluate: -7712 * (-42812 / 71449) + 8587", "solution_steps": ["Divide: -42812 / 71449 = -6116/10207", "Multiply: -7712 * (-6116/10207) = 47166592/10207", "Add: 47166592/10207 + 8587 = 134814101/10207"], "final_answer": "134814101/10207", "answer_type": "rational", "kind": "expression", "math_text": "-7712 * (-42812 / 71449) + 8587", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7712, \"b\": -42812, \"c\": 71449, \"d\": 8587}", "seed": "7128126941552466823", "semantic_fingerprint": "sha256:1cf4be833856e0116842de5ffa23e95fa21e4bc6826ac152f2061219169c5a54", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006413", "prompt": "Compute: -4291 - 4488 / 3960", "solution_steps": ["Divide: 4488 / 3960 = 17/15", "Subtract: -4291 - 17/15 = -64382/15"], "final_answer": "-64382/15", "answer_type": "rational", "kind": "expression", "math_text": "-4291 - 4488 / 3960", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4291, \"b\": 4488, \"c\": 3960}", "seed": "16053157237758703265", "semantic_fingerprint": "sha256:ff5ce4295a06136c392b7ef9157d5c8a8d101dbd8514e59f34cf162928574ed0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006414", "prompt": "Compute: -32383 / (-3542 - 45904) + (-70355)", "solution_steps": ["Subtract: -3542 - 45904 = -49446", "Divide: -32383 / (-49446) = 32383/49446", "Add: 32383/49446 + (-70355) = -3478740947/49446"], "final_answer": "-3478740947/49446", "answer_type": "rational", "kind": "expression", "math_text": "-32383 / (-3542 - 45904) + (-70355)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32383, \"b\": -3542, \"c\": 45904, \"d\": -70355}", "seed": "11649441293047439007", "semantic_fingerprint": "sha256:ecfd2aa7f3b18174aa8561faaab1433097c1582e0ca8277bf736ea5069745d8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006415", "prompt": "What is 35893 * 47052 / (-3387 * (-25300 / (-44574)))?", "solution_steps": ["Multiply: 35893 * 47052 = 1688837436", "Divide: -25300 / (-44574) = 550/969", "Multiply: -3387 * (550/969) = -620950/323", "Divide: 1688837436 / (-620950/323) = -24795204174/28225"], "final_answer": "-24795204174/28225", "answer_type": "rational", "kind": "expression", "math_text": "35893 * 47052 / (-3387 * (-25300 / (-44574)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35893, \"b\": 47052, \"c\": -3387, \"d\": -25300, \"e\": -44574}", "seed": "16110342378568150200", "semantic_fingerprint": "sha256:2ec5a802a82c890eb540cdde1a0a45aa7b077575bf6b7ef88c67704654d70bf7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006416", "prompt": "Solve the equation -34x - 5286 = x - 1401 for x.", "solution_steps": ["Subtract x from both sides: -35x - 5286 = -1401", "Add 5286 to both sides: -35x = 3885", "Divide both sides by -35: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x - 5286 = x - 1401", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 5286, \"d\": -1401, \"x\": -111}", "seed": "5665690604118838609", "semantic_fingerprint": "sha256:50dde3841b2350c67e58c2d1eaf6a0fa86e98ec05ecfdeaeaa20320a163e0fa0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006417", "prompt": "Find x: 19x = x + 1062", "solution_steps": ["Subtract x from both sides: 18x = 1062", "Divide both sides by 18: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = x + 1062", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 1062, \"x\": 59}", "seed": "2258208089199943423", "semantic_fingerprint": "sha256:e0e277339fd64e0f2fcd8df10e3ba6742ecf58819bc113dd5742df8781ea9038", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006418", "prompt": "Calculate: (-5984 - 2522) / 2986", "solution_steps": ["Subtract: -5984 - 2522 = -8506", "Divide: -8506 / 2986 = -4253/1493"], "final_answer": "-4253/1493", "answer_type": "rational", "kind": "expression", "math_text": "(-5984 - 2522) / 2986", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5984, \"b\": 2522, \"c\": 2986}", "seed": "13356523828370761788", "semantic_fingerprint": "sha256:a764ccd887b52d1a0fc2ff210db6e65b3954c74077832297570f062614d782c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006419", "prompt": "Solve the equation x - 2670 = 31x for x.", "solution_steps": ["Subtract 31x from both sides: -30x - 2670 = 0", "Add 2670 to both sides: -30x = 2670", "Divide both sides by -30: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2670 = 31x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -2670, \"x\": -89}", "seed": "17295518037747012637", "semantic_fingerprint": "sha256:f0e4201f567a477d2fe865cd0c6f44fba14dc2a881e4bd2eb7fb6fb65c4a3b43", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006420", "prompt": "Solve the equation x = -35(x + 3491) for x.", "solution_steps": ["Expand: x = -35x - 122185", "Add 35x to both sides: 36x = -122185", "Divide both sides by 36: x = -122185/36"], "final_answer": "-122185/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -35(x + 3491)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 3491}", "seed": "10308498632813148247", "semantic_fingerprint": "sha256:34eaf1752489a264b5a2a8564dc28bec74e876a766d0ba402064ceb3ce8c8467", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006421", "prompt": "Compute: (-28070 - (-3583) - 6060) / 91191", "solution_steps": ["Subtract: -28070 - (-3583) = -24487", "Subtract: -24487 - 6060 = -30547", "Divide: -30547 / 91191 = -30547/91191"], "final_answer": "-30547/91191", "answer_type": "rational", "kind": "expression", "math_text": "(-28070 - (-3583) - 6060) / 91191", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28070, \"b\": -3583, \"c\": 6060, \"d\": 91191}", "seed": "16079031997198429143", "semantic_fingerprint": "sha256:63bff140c934e26be0187aedca934b77adf15738d3eecd93af5f11060aed8854", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006422", "prompt": "Evaluate: 4151 * (3711 / 46874)", "solution_steps": ["Divide: 3711 / 46874 = 3711/46874", "Multiply: 4151 * (3711/46874) = 15404361/46874"], "final_answer": "15404361/46874", "answer_type": "rational", "kind": "expression", "math_text": "4151 * (3711 / 46874)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4151, \"b\": 3711, \"c\": 46874}", "seed": "18382896557352849992", "semantic_fingerprint": "sha256:60a34b244c6364094395ee33a8c6e69e11ea2271548604b1e6dadc127d8cff2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006423", "prompt": "Solve the equation 40(x - 9393) = 22x for x.", "solution_steps": ["Expand: 40x - 375720 = 22x", "Subtract 22x from both sides: 18x - 375720 = 0", "Add 375720 to both sides: 18x = 375720", "Divide both sides by 18: x = 62620/3"], "final_answer": "62620/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 9393) = 22x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 9393, \"c\": 22}", "seed": "16962344125945675842", "semantic_fingerprint": "sha256:729e561a5cafd1223a773ba72fc3e3a631cc0e255b2bc7b93036e2e726c7fea8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006424", "prompt": "Find x: 29x + 57403 = 13(x + 89143) - 2783", "solution_steps": ["Expand: 29x + 57403 = 13x + 1158859 - 2783", "Combine constants: 29x + 57403 = 13x + 1156076", "Subtract 13x from both sides: 16x + 57403 = 1156076", "Subtract 57403 from both sides: 16x = 1098673", "Divide both sides by 16: x = 1098673/16"], "final_answer": "1098673/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x + 57403 = 13(x + 89143) - 2783", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 57403, \"c\": 13, \"d\": 89143, \"e\": 2783}", "seed": "13600967625544036182", "semantic_fingerprint": "sha256:a6bcb0f69315bf809d8fd391e08064b03eb6ca42f8d8ee324990565415e6dc80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006425", "prompt": "Calculate: 47830 / (-4235 + (9974 + (-8840)))", "solution_steps": ["Add: 9974 + (-8840) = 1134", "Add: -4235 + 1134 = -3101", "Divide: 47830 / (-3101) = -47830/3101"], "final_answer": "-47830/3101", "answer_type": "rational", "kind": "expression", "math_text": "47830 / (-4235 + (9974 + (-8840)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 47830, \"b\": -4235, \"c\": 9974, \"d\": -8840}", "seed": "13048342951204940877", "semantic_fingerprint": "sha256:5cca65a292562fa3d49d540277ceb315bb43311e57cc5f2831370f271c18bab5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006426", "prompt": "Solve the equation -20(x - 42947) = -15x for x.", "solution_steps": ["Expand: -20x + 858940 = -15x", "Add 15x to both sides: -5x + 858940 = 0", "Subtract 858940 from both sides: -5x = -858940", "Divide both sides by -5: x = 171788"], "final_answer": "171788", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x - 42947) = -15x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 42947, \"c\": -15}", "seed": "7240241695020865875", "semantic_fingerprint": "sha256:a081fbf5c9274b8a0bdc3124e64f77cc9a90aa1c449de20cd640ed1e3cb6538d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006427", "prompt": "Solve the equation 30(x - 28967) + 97501 = -38(x - 9361) + 1043 for x.", "solution_steps": ["Expand: 30x - 869010 + 97501 = -38(x - 9361) + 1043", "Expand: 30x - 869010 + 97501 = -38x + 355718 + 1043", "Combine constants: 30x - 771509 = -38x + 355718 + 1043", "Combine constants: 30x - 771509 = -38x + 356761", "Add 38x to both sides: 68x - 771509 = 356761", "Add 771509 to both sides: 68x = 1128270", "Divide both sides by 68: x = 564135/34"], "final_answer": "564135/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 28967) + 97501 = -38(x - 9361) + 1043", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 28967, \"c\": 97501, \"d\": -38, \"e\": 9361, \"f\": 1043}", "seed": "12419185988335417591", "semantic_fingerprint": "sha256:83a562432300d2d7f576fc748c9bcd654ea53c16d497727124e31710820bc36e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006428", "prompt": "Compute: -23671 + (3021 - 9232) * 5003", "solution_steps": ["Subtract: 3021 - 9232 = -6211", "Multiply: -6211 * 5003 = -31073633", "Add: -23671 + (-31073633) = -31097304"], "final_answer": "-31097304", "answer_type": "integer", "kind": "expression", "math_text": "-23671 + (3021 - 9232) * 5003", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23671, \"b\": 3021, \"c\": 9232, \"d\": 5003}", "seed": "13054335179969463997", "semantic_fingerprint": "sha256:5d978789f58d8082148099dad4a948dd91d0061c4fd285834b0ad334fa7372bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006429", "prompt": "Calculate: -2886 * (3603 / 7516 - 3146)", "solution_steps": ["Divide: 3603 / 7516 = 3603/7516", "Subtract: 3603/7516 - 3146 = -23641733/7516", "Multiply: -2886 * (-23641733/7516) = 34115020719/3758"], "final_answer": "34115020719/3758", "answer_type": "rational", "kind": "expression", "math_text": "-2886 * (3603 / 7516 - 3146)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2886, \"b\": 3603, \"c\": 7516, \"d\": 3146}", "seed": "13791672687723931973", "semantic_fingerprint": "sha256:7fd7b374b280eef04d686102179aa8cf219245ad207e9b7fee4aa2a181e0cf28", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006430", "prompt": "Evaluate: -5927 - (-1769)", "solution_steps": ["Subtract: -5927 - (-1769) = -4158"], "final_answer": "-4158", "answer_type": "integer", "kind": "expression", "math_text": "-5927 - (-1769)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5927, \"b\": -1769}", "seed": "7985968366723505224", "semantic_fingerprint": "sha256:26f0ea254d81e01a5853f83b3fefe3a644904a7419fb2cbc7896caa7784a9004", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006431", "prompt": "What is -7200 * 3504 / (-29747)?", "solution_steps": ["Multiply: -7200 * 3504 = -25228800", "Divide: -25228800 / (-29747) = 25228800/29747"], "final_answer": "25228800/29747", "answer_type": "rational", "kind": "expression", "math_text": "-7200 * 3504 / (-29747)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7200, \"b\": 3504, \"c\": -29747}", "seed": "540229134901725102", "semantic_fingerprint": "sha256:55af5e789d50f357c393effa0117c7c2603b8f2860659d426eb3ec66649d578f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006432", "prompt": "What value of x satisfies 33(x - 3832) + 4585 = -18x?", "solution_steps": ["Expand: 33x - 126456 + 4585 = -18x", "Combine constants: 33x - 121871 = -18x", "Add 18x to both sides: 51x - 121871 = 0", "Add 121871 to both sides: 51x = 121871", "Divide both sides by 51: x = 121871/51"], "final_answer": "121871/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 3832) + 4585 = -18x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3832, \"c\": 4585, \"d\": -18}", "seed": "7649495776949196951", "semantic_fingerprint": "sha256:d3dfce20887e8463215149e2e3b86e1cc3f4bad35456a59a0788b19fe7cb3403", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006433", "prompt": "Find x: 22(x - 6194) - 3834 = 27x + 7703", "solution_steps": ["Expand: 22x - 136268 - 3834 = 27x + 7703", "Combine constants: 22x - 140102 = 27x + 7703", "Subtract 27x from both sides: -5x - 140102 = 7703", "Add 140102 to both sides: -5x = 147805", "Divide both sides by -5: x = -29561"], "final_answer": "-29561", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x - 6194) - 3834 = 27x + 7703", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6194, \"c\": 3834, \"d\": 27, \"e\": 7703}", "seed": "5807839269152284661", "semantic_fingerprint": "sha256:b0e9a8a2c759e90a2b9a14a8935551e7c86c8b342c8940f059c3108902f870da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006434", "prompt": "Evaluate: 9819 + (-1327) * 36345", "solution_steps": ["Multiply: -1327 * 36345 = -48229815", "Add: 9819 + (-48229815) = -48219996"], "final_answer": "-48219996", "answer_type": "integer", "kind": "expression", "math_text": "9819 + (-1327) * 36345", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9819, \"b\": -1327, \"c\": 36345}", "seed": "14849186477441008993", "semantic_fingerprint": "sha256:5d1e1ac8a1ead714dfd5585a85a729d48f22e78c85783fac7ec828969e26cc9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006435", "prompt": "What value of x satisfies -22(x + 66435) = 23x?", "solution_steps": ["Expand: -22x - 1461570 = 23x", "Subtract 23x from both sides: -45x - 1461570 = 0", "Add 1461570 to both sides: -45x = 1461570", "Divide both sides by -45: x = -97438/3"], "final_answer": "-97438/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x + 66435) = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 66435, \"c\": 23}", "seed": "16384878910880416386", "semantic_fingerprint": "sha256:9156582d58b4e478e6e129046408950dccff4ffc77e0604661179acdcfb401a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006436", "prompt": "What is 1566 + 1363 - 8933 + (14385 + 2721)?", "solution_steps": ["Add: 1566 + 1363 = 2929", "Subtract: 2929 - 8933 = -6004", "Add: 14385 + 2721 = 17106", "Add: -6004 + 17106 = 11102"], "final_answer": "11102", "answer_type": "integer", "kind": "expression", "math_text": "1566 + 1363 - 8933 + (14385 + 2721)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1566, \"b\": 1363, \"c\": 8933, \"d\": 14385, \"e\": 2721}", "seed": "11593717732244511813", "semantic_fingerprint": "sha256:04dcc7d927fd6be9128d79c4b96ce46587911a0d2385e1d452d8df5dfcc517eb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006437", "prompt": "Calculate: -58194 * (-36279 - (-86313) + (98025 + 8752 + (-9842)))", "solution_steps": ["Subtract: -36279 - (-86313) = 50034", "Add: 98025 + 8752 = 106777", "Add: 106777 + (-9842) = 96935", "Add: 50034 + 96935 = 146969", "Multiply: -58194 * 146969 = -8552713986"], "final_answer": "-8552713986", "answer_type": "integer", "kind": "expression", "math_text": "-58194 * (-36279 - (-86313) + (98025 + 8752 + (-9842)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -58194, \"b\": -36279, \"c\": -86313, \"d\": 98025, \"e\": 8752, \"f\": -9842}", "seed": "6050680323938476836", "semantic_fingerprint": "sha256:50a9102fedff754a3b6ffe11bd0e4a21b4850d38584b529668e623b67e31f408", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006438", "prompt": "Compute: -5207 - (4051 - 78694) - (-7896)", "solution_steps": ["Subtract: 4051 - 78694 = -74643", "Subtract: -5207 - (-74643) = 69436", "Subtract: 69436 - (-7896) = 77332"], "final_answer": "77332", "answer_type": "integer", "kind": "expression", "math_text": "-5207 - (4051 - 78694) - (-7896)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5207, \"b\": 4051, \"c\": 78694, \"d\": -7896}", "seed": "1923305358364406207", "semantic_fingerprint": "sha256:036256687d010bec901a5ef7caa26fe598f145ea27c1d952348d1d66aeff8caa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006439", "prompt": "Evaluate: -33216 + 7068 - (-6832)", "solution_steps": ["Add: -33216 + 7068 = -26148", "Subtract: -26148 - (-6832) = -19316"], "final_answer": "-19316", "answer_type": "integer", "kind": "expression", "math_text": "-33216 + 7068 - (-6832)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33216, \"b\": 7068, \"c\": -6832}", "seed": "5993627153238475059", "semantic_fingerprint": "sha256:2c025e1705d4887ebc15aa5a13be0ef0883d6c1faafb6e832b79b1a6b4634163", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006440", "prompt": "Calculate: (-28048 + (-1508)) / (-6748) * 78584", "solution_steps": ["Add: -28048 + (-1508) = -29556", "Divide: -29556 / (-6748) = 7389/1687", "Multiply: (7389/1687) * 78584 = 580657176/1687"], "final_answer": "580657176/1687", "answer_type": "rational", "kind": "expression", "math_text": "(-28048 + (-1508)) / (-6748) * 78584", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28048, \"b\": -1508, \"c\": -6748, \"d\": 78584}", "seed": "7407780192928529276", "semantic_fingerprint": "sha256:9368937d2846e44228edcdcc535281ec3ac1aa4cae5488b6af4dc49a2e4a04b6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006441", "prompt": "What is (89138 + (-13752)) * (42316 / (3306 / 4437))?", "solution_steps": ["Add: 89138 + (-13752) = 75386", "Divide: 3306 / 4437 = 38/51", "Divide: 42316 / (38/51) = 1079058/19", "Multiply: 75386 * (1079058/19) = 81345866388/19"], "final_answer": "81345866388/19", "answer_type": "rational", "kind": "expression", "math_text": "(89138 + (-13752)) * (42316 / (3306 / 4437))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 89138, \"b\": -13752, \"c\": 42316, \"d\": 3306, \"e\": 4437}", "seed": "11838847418208116493", "semantic_fingerprint": "sha256:c31b5e87eb78ab96367c2489167d09b0ce4958080b6cf339cf79b45c51e9bc09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006442", "prompt": "What is -2405 / (-5586 / 6949)?", "solution_steps": ["Divide: -5586 / 6949 = -5586/6949", "Divide: -2405 / (-5586/6949) = 16712345/5586"], "final_answer": "16712345/5586", "answer_type": "rational", "kind": "expression", "math_text": "-2405 / (-5586 / 6949)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2405, \"b\": -5586, \"c\": 6949}", "seed": "11665663903726465388", "semantic_fingerprint": "sha256:4d5dd0229982afd973c9ea1d76453a87bd952aae25b6a9f53d3c348751d46a51", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006443", "prompt": "Calculate: -6493 - (-2090)", "solution_steps": ["Subtract: -6493 - (-2090) = -4403"], "final_answer": "-4403", "answer_type": "integer", "kind": "expression", "math_text": "-6493 - (-2090)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6493, \"b\": -2090}", "seed": "16108688472846966625", "semantic_fingerprint": "sha256:7fd7a2f762e941e7e327f33cc4f3b467ca973cfb540c7d6fbf4764e873875b35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006444", "prompt": "Compute: 24970 * 9590", "solution_steps": ["Multiply: 24970 * 9590 = 239462300"], "final_answer": "239462300", "answer_type": "integer", "kind": "expression", "math_text": "24970 * 9590", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 24970, \"b\": 9590}", "seed": "14891787319448247346", "semantic_fingerprint": "sha256:dd86e489a5cfbbd42244231d5ec7c689e0d3b20e515eb0f89d5d4073ebe644dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006445", "prompt": "Compute: 53281 + 1576", "solution_steps": ["Add: 53281 + 1576 = 54857"], "final_answer": "54857", "answer_type": "integer", "kind": "expression", "math_text": "53281 + 1576", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 53281, \"b\": 1576}", "seed": "10912237673958310457", "semantic_fingerprint": "sha256:845786eb62bc2b3ec978b64fb8a8278e60dfbdffe7fd3f3b0c5a999d8ac5be0e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006446", "prompt": "Evaluate: 95439 - (-8945 + 2092 - 77726)", "solution_steps": ["Add: -8945 + 2092 = -6853", "Subtract: -6853 - 77726 = -84579", "Subtract: 95439 - (-84579) = 180018"], "final_answer": "180018", "answer_type": "integer", "kind": "expression", "math_text": "95439 - (-8945 + 2092 - 77726)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 95439, \"b\": -8945, \"c\": 2092, \"d\": 77726}", "seed": "14257652266978815071", "semantic_fingerprint": "sha256:7bce3f452f6f5578e2d7b91df83279695eb4e3b685dd6043cec0bf42a8799081", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006447", "prompt": "Evaluate: -5591 + (59209 * (-8388) + (-8411))", "solution_steps": ["Multiply: 59209 * (-8388) = -496645092", "Add: -496645092 + (-8411) = -496653503", "Add: -5591 + (-496653503) = -496659094"], "final_answer": "-496659094", "answer_type": "integer", "kind": "expression", "math_text": "-5591 + (59209 * (-8388) + (-8411))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5591, \"b\": 59209, \"c\": -8388, \"d\": -8411}", "seed": "5630117857589720446", "semantic_fingerprint": "sha256:1759217d1b2cdbf6a82d065880fa8745460bd8b8ec5ce8556e13d7eacf31eeb5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006448", "prompt": "Find x: x = 31x - 5070", "solution_steps": ["Subtract 31x from both sides: -30x = -5070", "Divide both sides by -30: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 31x - 5070", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -5070, \"x\": 169}", "seed": "13546821623783512392", "semantic_fingerprint": "sha256:e8131aa076f454bff2b19005f9050754dce2a8ff6496f233c429ebbfecc659cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006449", "prompt": "Calculate: -3464 * (-12192)", "solution_steps": ["Multiply: -3464 * (-12192) = 42233088"], "final_answer": "42233088", "answer_type": "integer", "kind": "expression", "math_text": "-3464 * (-12192)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3464, \"b\": -12192}", "seed": "9533263886860279470", "semantic_fingerprint": "sha256:8c95a1d32a05a5866ffac796cb8f64a3ab4d9f9fa51b0c7e714a65fbd14ad04b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006450", "prompt": "Solve for x: -38x + 8995 = 11769", "solution_steps": ["Subtract 8995 from both sides: -38x = 2774", "Divide both sides by -38: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x + 8995 = 11769", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 8995, \"d\": 11769, \"x\": -73}", "seed": "11603516734141068044", "semantic_fingerprint": "sha256:5a88a68e778759b9d33a01b6a9ab50524e71cf0658fc67811e36dc16b1731743", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006451", "prompt": "What is 56763 * 9986 / 3525?", "solution_steps": ["Multiply: 56763 * 9986 = 566835318", "Divide: 566835318 / 3525 = 188945106/1175"], "final_answer": "188945106/1175", "answer_type": "rational", "kind": "expression", "math_text": "56763 * 9986 / 3525", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56763, \"b\": 9986, \"c\": 3525}", "seed": "16913669112312526432", "semantic_fingerprint": "sha256:461a7883c8c70423758bbde890c93054bfb86c1fd5166c7e249ddf4486d46c26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006452", "prompt": "Find x: -13(x - 2126) + 6837 = -26(x + 1180) + 63036", "solution_steps": ["Expand: -13x + 27638 + 6837 = -26(x + 1180) + 63036", "Expand: -13x + 27638 + 6837 = -26x - 30680 + 63036", "Combine constants: -13x + 34475 = -26x - 30680 + 63036", "Combine constants: -13x + 34475 = -26x + 32356", "Add 26x to both sides: 13x + 34475 = 32356", "Subtract 34475 from both sides: 13x = -2119", "Divide both sides by 13: x = -163"], "final_answer": "-163", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 2126) + 6837 = -26(x + 1180) + 63036", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 2126, \"c\": 6837, \"d\": -26, \"e\": 1180, \"g\": 63036, \"x\": -163}", "seed": "8655492224582806068", "semantic_fingerprint": "sha256:e911fc3f1c8fd5d7d14b79933dcf83ec2632cb75a35ea462eb943fb07bc4c4ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006453", "prompt": "Calculate: (-60103 + 6570 + 3647) / (-5529)", "solution_steps": ["Add: -60103 + 6570 = -53533", "Add: -53533 + 3647 = -49886", "Divide: -49886 / (-5529) = 49886/5529"], "final_answer": "49886/5529", "answer_type": "rational", "kind": "expression", "math_text": "(-60103 + 6570 + 3647) / (-5529)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -60103, \"b\": 6570, \"c\": 3647, \"d\": -5529}", "seed": "417079730816009746", "semantic_fingerprint": "sha256:1c39ecada56d63eb754b4e472f08dfa92540bd12105cb55806a56acfc6f299a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006454", "prompt": "Solve the equation -32x + 95389 = 17x + 1809 for x.", "solution_steps": ["Subtract 17x from both sides: -49x + 95389 = 1809", "Subtract 95389 from both sides: -49x = -93580", "Divide both sides by -49: x = 93580/49"], "final_answer": "93580/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x + 95389 = 17x + 1809", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 95389, \"c\": 17, \"d\": 1809}", "seed": "721303118122994742", "semantic_fingerprint": "sha256:0bc327984b9b5042608727cf69f3cdb3d8933190f2dc8336ff955e28dda798ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006455", "prompt": "Compute: -1724 - 2203 + (-86777 - (-4876))", "solution_steps": ["Subtract: -1724 - 2203 = -3927", "Subtract: -86777 - (-4876) = -81901", "Add: -3927 + (-81901) = -85828"], "final_answer": "-85828", "answer_type": "integer", "kind": "expression", "math_text": "-1724 - 2203 + (-86777 - (-4876))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1724, \"b\": 2203, \"c\": -86777, \"d\": -4876}", "seed": "4283868664517572051", "semantic_fingerprint": "sha256:87c345a66c5240daa03188eb6ce031783befe59d8aa290936086a1682ad9280a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006456", "prompt": "What is 5072 / (-13183) + 7346?", "solution_steps": ["Divide: 5072 / (-13183) = -5072/13183", "Add: -5072/13183 + 7346 = 96837246/13183"], "final_answer": "96837246/13183", "answer_type": "rational", "kind": "expression", "math_text": "5072 / (-13183) + 7346", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5072, \"b\": -13183, \"c\": 7346}", "seed": "11373500822119757089", "semantic_fingerprint": "sha256:b55f29a3c64025f1758b3a92c2f0ac7577aacaf8678b2470b50b3912260e4a1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006457", "prompt": "Evaluate: 6134 - (-9361) * 3907", "solution_steps": ["Multiply: -9361 * 3907 = -36573427", "Subtract: 6134 - (-36573427) = 36579561"], "final_answer": "36579561", "answer_type": "integer", "kind": "expression", "math_text": "6134 - (-9361) * 3907", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6134, \"b\": -9361, \"c\": 3907}", "seed": "10841662203822795612", "semantic_fingerprint": "sha256:cd61f21fef7dd3461fd3b9058eee61d9d8b61f3b7c1641adbb0755536ab54b24", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006458", "prompt": "Compute: 6196 + 9337 * 48749", "solution_steps": ["Multiply: 9337 * 48749 = 455169413", "Add: 6196 + 455169413 = 455175609"], "final_answer": "455175609", "answer_type": "integer", "kind": "expression", "math_text": "6196 + 9337 * 48749", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6196, \"b\": 9337, \"c\": 48749}", "seed": "18337007714133376594", "semantic_fingerprint": "sha256:5d94ae1c4ef228765f3203e51b36502710af81b49970fca69616a946ac553e6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006459", "prompt": "Evaluate: 4019 + (5552 - (-13507))", "solution_steps": ["Subtract: 5552 - (-13507) = 19059", "Add: 4019 + 19059 = 23078"], "final_answer": "23078", "answer_type": "integer", "kind": "expression", "math_text": "4019 + (5552 - (-13507))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4019, \"b\": 5552, \"c\": -13507}", "seed": "10290974618568170912", "semantic_fingerprint": "sha256:5d83bfe434813396d1fed89a34b548d90bbd2b33f86f918d3427499996e6377c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006460", "prompt": "Find x: 21(x + 6569) = -21x - 8496", "solution_steps": ["Expand: 21x + 137949 = -21x - 8496", "Add 21x to both sides: 42x + 137949 = -8496", "Subtract 137949 from both sides: 42x = -146445", "Divide both sides by 42: x = -48815/14"], "final_answer": "-48815/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 6569) = -21x - 8496", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 6569, \"c\": -21, \"d\": 8496}", "seed": "12494519748230228716", "semantic_fingerprint": "sha256:161f440eb0626ef3e2baeb6bb43f18062f451432ce4cc121effe76a877b1f400", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006461", "prompt": "Evaluate: 80885 + 6771", "solution_steps": ["Add: 80885 + 6771 = 87656"], "final_answer": "87656", "answer_type": "integer", "kind": "expression", "math_text": "80885 + 6771", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 80885, \"b\": 6771}", "seed": "4629567411679027812", "semantic_fingerprint": "sha256:da6189343c8940bd8dffdd8488c3d7d0cd66d796796edc60bcce29b5d24d55ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006462", "prompt": "Solve for x: -24x - 54565 = 20(x + 2651) - 43650", "solution_steps": ["Expand: -24x - 54565 = 20x + 53020 - 43650", "Combine constants: -24x - 54565 = 20x + 9370", "Subtract 20x from both sides: -44x - 54565 = 9370", "Add 54565 to both sides: -44x = 63935", "Divide both sides by -44: x = -63935/44"], "final_answer": "-63935/44", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x - 54565 = 20(x + 2651) - 43650", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 54565, \"c\": 20, \"d\": 2651, \"e\": 43650}", "seed": "12480307490496646119", "semantic_fingerprint": "sha256:705983c6d7a21043d0964df57ba95acc6217d74f1e9876eeb125aba86d7fe09d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006463", "prompt": "Find x: 20(x - 4497) - 65350 = 13(x + 29058)", "solution_steps": ["Expand: 20x - 89940 - 65350 = 13(x + 29058)", "Expand: 20x - 89940 - 65350 = 13x + 377754", "Combine constants: 20x - 155290 = 13x + 377754", "Subtract 13x from both sides: 7x - 155290 = 377754", "Add 155290 to both sides: 7x = 533044", "Divide both sides by 7: x = 533044/7"], "final_answer": "533044/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 4497) - 65350 = 13(x + 29058)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 4497, \"c\": 65350, \"d\": 13, \"e\": 29058}", "seed": "12530671679941884800", "semantic_fingerprint": "sha256:e591eac5c32d7eead46bfa3aa80abe922c46b9036af8b9a154ac453a1cdbef2f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006464", "prompt": "Evaluate: -2313 / (-2376) / (-2060)", "solution_steps": ["Divide: -2313 / (-2376) = 257/264", "Divide: (257/264) / (-2060) = -257/543840"], "final_answer": "-257/543840", "answer_type": "rational", "kind": "expression", "math_text": "-2313 / (-2376) / (-2060)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2313, \"b\": -2376, \"c\": -2060}", "seed": "648818939685641805", "semantic_fingerprint": "sha256:3cfbbd136b885ef28c2b5170a120bd885490c68a3fe59fba39822cd3bcd45ac6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006465", "prompt": "Evaluate: -29831 / (-60360)", "solution_steps": ["Divide: -29831 / (-60360) = 29831/60360"], "final_answer": "29831/60360", "answer_type": "rational", "kind": "expression", "math_text": "-29831 / (-60360)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29831, \"b\": -60360}", "seed": "17228548788868741375", "semantic_fingerprint": "sha256:9d1cb76b30f8c77ed40c7a52fc6e9ec7488d672942be48bac6e35e0a5e5a0081", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006466", "prompt": "Evaluate: 63942 * (94700 / (-9505)) - (8598 - (-24778))", "solution_steps": ["Divide: 94700 / (-9505) = -18940/1901", "Multiply: 63942 * (-18940/1901) = -1211061480/1901", "Subtract: 8598 - (-24778) = 33376", "Subtract: -1211061480/1901 - 33376 = -1274509256/1901"], "final_answer": "-1274509256/1901", "answer_type": "rational", "kind": "expression", "math_text": "63942 * (94700 / (-9505)) - (8598 - (-24778))", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 63942, \"b\": 94700, \"c\": -9505, \"d\": 8598, \"e\": -24778}", "seed": "7056321289477991377", "semantic_fingerprint": "sha256:50548d5358ac4ce742344aeee29651ecb4be72a0874069fc66b021d79cc1b3d6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006467", "prompt": "Evaluate: 2691 / (-6218 * 2622)", "solution_steps": ["Multiply: -6218 * 2622 = -16303596", "Divide: 2691 / (-16303596) = -39/236284"], "final_answer": "-39/236284", "answer_type": "rational", "kind": "expression", "math_text": "2691 / (-6218 * 2622)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2691, \"b\": -6218, \"c\": 2622}", "seed": "15482979933491661057", "semantic_fingerprint": "sha256:49e157b7e4d7046239dcfbcfb353ce79f0d919862beda5f258ee724beef59170", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006468", "prompt": "Solve for x: 36(x - 5050) = -35x", "solution_steps": ["Expand: 36x - 181800 = -35x", "Add 35x to both sides: 71x - 181800 = 0", "Add 181800 to both sides: 71x = 181800", "Divide both sides by 71: x = 181800/71"], "final_answer": "181800/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 5050) = -35x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 5050, \"c\": -35}", "seed": "17735088485941512117", "semantic_fingerprint": "sha256:3aff22ab098a81039d32d2e314fc03b06b01d08e1ef2efac01b1a97ede84b427", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006469", "prompt": "What value of x satisfies -18(x + 47247) + 26143 = 51661?", "solution_steps": ["Expand: -18x - 850446 + 26143 = 51661", "Combine constants: -18x - 824303 = 51661", "Add 824303 to both sides: -18x = 875964", "Divide both sides by -18: x = -145994/3"], "final_answer": "-145994/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x + 47247) + 26143 = 51661", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 47247, \"c\": 26143, \"d\": 51661}", "seed": "2582202225792943642", "semantic_fingerprint": "sha256:670385d040be78b714def879ae978fa3970f977a11086bb443555546397e4e1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006470", "prompt": "What is -72340 / (-60937)?", "solution_steps": ["Divide: -72340 / (-60937) = 72340/60937"], "final_answer": "72340/60937", "answer_type": "rational", "kind": "expression", "math_text": "-72340 / (-60937)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72340, \"b\": -60937}", "seed": "14058461132361337223", "semantic_fingerprint": "sha256:fb2c3691682079adfd5710fd6a46fc7df50c3a85a043adf0fd9c2c56820aa292", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006471", "prompt": "Find x: 32x - 61297 = -20(x + 1741) - 6884", "solution_steps": ["Expand: 32x - 61297 = -20x - 34820 - 6884", "Combine constants: 32x - 61297 = -20x - 41704", "Add 20x to both sides: 52x - 61297 = -41704", "Add 61297 to both sides: 52x = 19593", "Divide both sides by 52: x = 19593/52"], "final_answer": "19593/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x - 61297 = -20(x + 1741) - 6884", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 61297, \"c\": -20, \"d\": 1741, \"e\": 6884}", "seed": "7379161663215438224", "semantic_fingerprint": "sha256:a768b1a80b782a0a37a09b1a9ba363670c0e300b6e4312562328487e13988c9b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006472", "prompt": "Evaluate: 4824 / 1208 / (-2942 - (-7446))", "solution_steps": ["Divide: 4824 / 1208 = 603/151", "Subtract: -2942 - (-7446) = 4504", "Divide: (603/151) / 4504 = 603/680104"], "final_answer": "603/680104", "answer_type": "rational", "kind": "expression", "math_text": "4824 / 1208 / (-2942 - (-7446))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4824, \"b\": 1208, \"c\": -2942, \"d\": -7446}", "seed": "5546428507180352858", "semantic_fingerprint": "sha256:3e6bd6d51fbde88ff9aaa7f92cfee02206b93f2babc6287dcfafa304531ad296", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006473", "prompt": "Find x: 40x + 7596 = -40x - 11445", "solution_steps": ["Add 40x to both sides: 80x + 7596 = -11445", "Subtract 7596 from both sides: 80x = -19041", "Divide both sides by 80: x = -19041/80"], "final_answer": "-19041/80", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x + 7596 = -40x - 11445", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 7596, \"c\": -40, \"d\": 11445}", "seed": "12978445591772928183", "semantic_fingerprint": "sha256:18890c86d4fdee7d8997c63fd3d9427fca03a8d6d390135ad3ec08f1a9ba35a3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006474", "prompt": "Calculate: 3958 * (-6211 / (-2267)) - (-54813 - 9737)", "solution_steps": ["Divide: -6211 / (-2267) = 6211/2267", "Multiply: 3958 * (6211/2267) = 24583138/2267", "Subtract: -54813 - 9737 = -64550", "Subtract: 24583138/2267 - (-64550) = 170917988/2267"], "final_answer": "170917988/2267", "answer_type": "rational", "kind": "expression", "math_text": "3958 * (-6211 / (-2267)) - (-54813 - 9737)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3958, \"b\": -6211, \"c\": -2267, \"d\": -54813, \"e\": 9737}", "seed": "16974892056850917987", "semantic_fingerprint": "sha256:72d409b5995258463f3de424c8b7a09c33e2ccebb973c9c9f44851aa8730fde1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006475", "prompt": "Solve for x: x + 2638 = 34(x - 1350) + 54973", "solution_steps": ["Expand: x + 2638 = 34x - 45900 + 54973", "Combine constants: x + 2638 = 34x + 9073", "Subtract 34x from both sides: -33x + 2638 = 9073", "Subtract 2638 from both sides: -33x = 6435", "Divide both sides by -33: x = -195"], "final_answer": "-195", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2638 = 34(x - 1350) + 54973", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2638, \"b\": 34, \"c\": 1350, \"e\": 54973, \"x\": -195}", "seed": "9359106170882895999", "semantic_fingerprint": "sha256:d6bb2bd2305726a45e4fe6b3033092aaa59055eba2e040873db88544bec02779", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006476", "prompt": "What value of x satisfies x = -23(x - 29598) - 6030?", "solution_steps": ["Expand: x = -23x + 680754 - 6030", "Combine constants: x = -23x + 674724", "Add 23x to both sides: 24x = 674724", "Divide both sides by 24: x = 56227/2"], "final_answer": "56227/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -23(x - 29598) - 6030", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 29598, \"c\": 6030}", "seed": "10955296465332964864", "semantic_fingerprint": "sha256:2ecfc8b9a052c29237b732f3dab8c3b6ee872f25df6164b044286a7ffc00f5e6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006477", "prompt": "Solve the equation 19x + 4136 = x + 10454 for x.", "solution_steps": ["Subtract x from both sides: 18x + 4136 = 10454", "Subtract 4136 from both sides: 18x = 6318", "Divide both sides by 18: x = 351"], "final_answer": "351", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 4136 = x + 10454", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4136, \"c\": 10454}", "seed": "12598443609823911074", "semantic_fingerprint": "sha256:5fc220de898ebfa3e2527db954377885a502113672caa3358101bad3302bc1aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006478", "prompt": "Solve for x: 30(x + 2966) = 21(x - 2840) - 88426", "solution_steps": ["Expand: 30x + 88980 = 21(x - 2840) - 88426", "Expand: 30x + 88980 = 21x - 59640 - 88426", "Combine constants: 30x + 88980 = 21x - 148066", "Subtract 21x from both sides: 9x + 88980 = -148066", "Subtract 88980 from both sides: 9x = -237046", "Divide both sides by 9: x = -237046/9"], "final_answer": "-237046/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 2966) = 21(x - 2840) - 88426", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 2966, \"c\": 21, \"d\": 2840, \"e\": 88426}", "seed": "17081211584861660293", "semantic_fingerprint": "sha256:a1fbb851a59c0ff562577e657747f1e316456e67082afad12e95a2a607f4a7d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006479", "prompt": "Find x: 31x = 32(x + 18960)", "solution_steps": ["Expand: 31x = 32x + 606720", "Subtract 32x from both sides: -x = 606720", "Divide both sides by -1: x = -606720"], "final_answer": "-606720", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = 32(x + 18960)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 32, \"c\": 18960}", "seed": "13741911729183442560", "semantic_fingerprint": "sha256:6e268831db0453d48773af388b06eeb39cbc12150f9ab9386b322c175de69a17", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006480", "prompt": "Evaluate: -34981 - (-2459 * (-2508) / 3415 - 8171)", "solution_steps": ["Multiply: -2459 * (-2508) = 6167172", "Divide: 6167172 / 3415 = 6167172/3415", "Subtract: 6167172/3415 - 8171 = -21736793/3415", "Subtract: -34981 - (-21736793/3415) = -97723322/3415"], "final_answer": "-97723322/3415", "answer_type": "rational", "kind": "expression", "math_text": "-34981 - (-2459 * (-2508) / 3415 - 8171)", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34981, \"b\": -2459, \"c\": -2508, \"d\": 3415, \"e\": 8171}", "seed": "1173722579248476966", "semantic_fingerprint": "sha256:00b51215d1f8d44d62100e1931faf316e589a67f77d0e65dd6f26b86b5c6c4a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006481", "prompt": "Solve for x: 20x = 13(x - 1510) + 19315", "solution_steps": ["Expand: 20x = 13x - 19630 + 19315", "Combine constants: 20x = 13x - 315", "Subtract 13x from both sides: 7x = -315", "Divide both sides by 7: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 13(x - 1510) + 19315", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 13, \"c\": 1510, \"e\": 19315, \"x\": -45}", "seed": "15692594130204065669", "semantic_fingerprint": "sha256:599ca1eb245da80acec9d224261e5f856037c6e739767c1bae985d4911753772", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006482", "prompt": "Calculate: -8936 / 6124 * (-84756 - (9501 - (-2309)))", "solution_steps": ["Divide: -8936 / 6124 = -2234/1531", "Subtract: 9501 - (-2309) = 11810", "Subtract: -84756 - 11810 = -96566", "Multiply: (-2234/1531) * (-96566) = 215728444/1531"], "final_answer": "215728444/1531", "answer_type": "rational", "kind": "expression", "math_text": "-8936 / 6124 * (-84756 - (9501 - (-2309)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8936, \"b\": 6124, \"c\": -84756, \"d\": 9501, \"e\": -2309}", "seed": "9755935208179049943", "semantic_fingerprint": "sha256:10aa3f81c0c6628044ba9a03e5b7e1a41b357ab2764dbabbdc68319186a5ccfc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006483", "prompt": "Calculate: 1735 + 5901 - (-56798)", "solution_steps": ["Add: 1735 + 5901 = 7636", "Subtract: 7636 - (-56798) = 64434"], "final_answer": "64434", "answer_type": "integer", "kind": "expression", "math_text": "1735 + 5901 - (-56798)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1735, \"b\": 5901, \"c\": -56798}", "seed": "17472426284402144575", "semantic_fingerprint": "sha256:55c86a9ba42ecbe89ab6fe17bb37b5b992945e45badda348be11b323957143b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006484", "prompt": "Calculate: -5971 - (84650 + (-7821)) * 1653", "solution_steps": ["Add: 84650 + (-7821) = 76829", "Multiply: 76829 * 1653 = 126998337", "Subtract: -5971 - 126998337 = -127004308"], "final_answer": "-127004308", "answer_type": "integer", "kind": "expression", "math_text": "-5971 - (84650 + (-7821)) * 1653", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5971, \"b\": 84650, \"c\": -7821, \"d\": 1653}", "seed": "2566505086821635323", "semantic_fingerprint": "sha256:932823dd3e8397cfe4c3b8dbf5c22b0395902a13c54c66fd5d6c6764f69e8d46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006485", "prompt": "What value of x satisfies 25x - 6031 = x - 83505?", "solution_steps": ["Subtract x from both sides: 24x - 6031 = -83505", "Add 6031 to both sides: 24x = -77474", "Divide both sides by 24: x = -38737/12"], "final_answer": "-38737/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 6031 = x - 83505", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 6031, \"c\": 83505}", "seed": "228219129726312167", "semantic_fingerprint": "sha256:1fc2d04efcdee94a5796807c20a652283ff74e76fcc278f0cee1f09c54bfcb19", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006486", "prompt": "Find x: 29(x - 8939) = x - 8997", "solution_steps": ["Expand: 29x - 259231 = x - 8997", "Subtract x from both sides: 28x - 259231 = -8997", "Add 259231 to both sides: 28x = 250234", "Divide both sides by 28: x = 125117/14"], "final_answer": "125117/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 8939) = x - 8997", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8939, \"c\": 8997}", "seed": "14131317927293666765", "semantic_fingerprint": "sha256:a358997e65c0168bba0ba49fba8b9c9e40db50045ff21755f75a1163ea2fba80", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006487", "prompt": "Calculate: -3918 - 17383 + (-2709 + (-93281) * 5439)", "solution_steps": ["Subtract: -3918 - 17383 = -21301", "Multiply: -93281 * 5439 = -507355359", "Add: -2709 + (-507355359) = -507358068", "Add: -21301 + (-507358068) = -507379369"], "final_answer": "-507379369", "answer_type": "integer", "kind": "expression", "math_text": "-3918 - 17383 + (-2709 + (-93281) * 5439)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3918, \"b\": 17383, \"c\": -2709, \"d\": -93281, \"e\": 5439}", "seed": "9243174400881751343", "semantic_fingerprint": "sha256:0dffc03bb7af82c6e8f1999b5ea51d47da6bb7674829a32e32a77818a6c296d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006488", "prompt": "Compute: 7047 + 77665 - (-88220) * 2382", "solution_steps": ["Add: 7047 + 77665 = 84712", "Multiply: -88220 * 2382 = -210140040", "Subtract: 84712 - (-210140040) = 210224752"], "final_answer": "210224752", "answer_type": "integer", "kind": "expression", "math_text": "7047 + 77665 - (-88220) * 2382", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7047, \"b\": 77665, \"c\": -88220, \"d\": 2382}", "seed": "10986069463346909441", "semantic_fingerprint": "sha256:e30d64f89633a298403a17457fcd4c33da8e8088a0ed2301fa5eb6d3d2f2511e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006489", "prompt": "Find x: x = -32x - 6039", "solution_steps": ["Add 32x to both sides: 33x = -6039", "Divide both sides by 33: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -32x - 6039", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"c\": -6039, \"x\": -183}", "seed": "11740375233010940589", "semantic_fingerprint": "sha256:682348f1ef5613c056fc27096edb5d5f3d0e18abd1a97cd2d9e0caa2409beb7e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006490", "prompt": "What value of x satisfies 25x + 8092 = x + 4708?", "solution_steps": ["Subtract x from both sides: 24x + 8092 = 4708", "Subtract 8092 from both sides: 24x = -3384", "Divide both sides by 24: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 8092 = x + 4708", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 8092, \"d\": 4708, \"x\": -141}", "seed": "2749938414116907290", "semantic_fingerprint": "sha256:a52b8f40ff7175c2b899bdd0aa1c955978d672d75eb97f193cf3594819515b32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006491", "prompt": "Evaluate: (36020 + (-1764)) * (17118 / (-3632))", "solution_steps": ["Add: 36020 + (-1764) = 34256", "Divide: 17118 / (-3632) = -8559/1816", "Multiply: 34256 * (-8559/1816) = -36649638/227"], "final_answer": "-36649638/227", "answer_type": "rational", "kind": "expression", "math_text": "(36020 + (-1764)) * (17118 / (-3632))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36020, \"b\": -1764, \"c\": 17118, \"d\": -3632}", "seed": "8384718157050516388", "semantic_fingerprint": "sha256:8c5ccfdeb41183b3804b8ee75d133fe907ffec24108d62aaf54b8113310aba93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006492", "prompt": "Solve the equation -13(x - 1030) = 19(x + 7379) - 9432 for x.", "solution_steps": ["Expand: -13x + 13390 = 19(x + 7379) - 9432", "Expand: -13x + 13390 = 19x + 140201 - 9432", "Combine constants: -13x + 13390 = 19x + 130769", "Subtract 19x from both sides: -32x + 13390 = 130769", "Subtract 13390 from both sides: -32x = 117379", "Divide both sides by -32: x = -117379/32"], "final_answer": "-117379/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x - 1030) = 19(x + 7379) - 9432", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 1030, \"c\": 19, \"d\": 7379, \"e\": 9432}", "seed": "13204928256229174380", "semantic_fingerprint": "sha256:d204a228ee03efe1daa47c7dd798fbe2687062cad9a3bb30514f2a0029cd3176", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006493", "prompt": "Compute: 3202 + (3429 + 2048)", "solution_steps": ["Add: 3429 + 2048 = 5477", "Add: 3202 + 5477 = 8679"], "final_answer": "8679", "answer_type": "integer", "kind": "expression", "math_text": "3202 + (3429 + 2048)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3202, \"b\": 3429, \"c\": 2048}", "seed": "13398103584642226357", "semantic_fingerprint": "sha256:01a2e0eab7dd3aca20550d18cc68fe2cf2c6fff1fbe6efec3ad7729f4c692cc1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006494", "prompt": "What value of x satisfies x = 33x + 1856?", "solution_steps": ["Subtract 33x from both sides: -32x = 1856", "Divide both sides by -32: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 33x + 1856", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 1856, \"x\": -58}", "seed": "16937317500593524129", "semantic_fingerprint": "sha256:8469091317272561e2d80991796d6bfd4697cd54dc8c38481c9344474e7171f0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006495", "prompt": "Calculate: -44807 - (-77580) + (-95657 / 4868 + 2235) + 1255", "solution_steps": ["Subtract: -44807 - (-77580) = 32773", "Divide: -95657 / 4868 = -95657/4868", "Add: -95657/4868 + 2235 = 10784323/4868", "Add: 32773 + 10784323/4868 = 170323287/4868", "Add: 170323287/4868 + 1255 = 176432627/4868"], "final_answer": "176432627/4868", "answer_type": "rational", "kind": "expression", "math_text": "-44807 - (-77580) + (-95657 / 4868 + 2235) + 1255", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (+ (/ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -44807, \"b\": -77580, \"c\": -95657, \"d\": 4868, \"e\": 2235, \"f\": 1255}", "seed": "1139845267315875451", "semantic_fingerprint": "sha256:f9a5e7c0d48114caf5be4d48633fd70dd0bea3457fe3dc112c7c76cf99fc7709", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006496", "prompt": "What is -1228 - 40911 - 3693?", "solution_steps": ["Subtract: -1228 - 40911 = -42139", "Subtract: -42139 - 3693 = -45832"], "final_answer": "-45832", "answer_type": "integer", "kind": "expression", "math_text": "-1228 - 40911 - 3693", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1228, \"b\": 40911, \"c\": 3693}", "seed": "13887036657171666450", "semantic_fingerprint": "sha256:d41433adc215349fe730fc1bf7b27eeb848acba4819b690b79e9527092bb936e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006497", "prompt": "Calculate: 25132 + (9203 + (-75165))", "solution_steps": ["Add: 9203 + (-75165) = -65962", "Add: 25132 + (-65962) = -40830"], "final_answer": "-40830", "answer_type": "integer", "kind": "expression", "math_text": "25132 + (9203 + (-75165))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25132, \"b\": 9203, \"c\": -75165}", "seed": "4970055046539528336", "semantic_fingerprint": "sha256:f20e18ee5f3aa690ce0d321efa3135dc3a18be32d682f902739fa445bc65e1b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006498", "prompt": "Calculate: (-23287 + (-5951)) * (-1400 + (-13065))", "solution_steps": ["Add: -23287 + (-5951) = -29238", "Add: -1400 + (-13065) = -14465", "Multiply: -29238 * (-14465) = 422927670"], "final_answer": "422927670", "answer_type": "integer", "kind": "expression", "math_text": "(-23287 + (-5951)) * (-1400 + (-13065))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23287, \"b\": -5951, \"c\": -1400, \"d\": -13065}", "seed": "697343881961192636", "semantic_fingerprint": "sha256:9a37ca5f94ed247347a7e909a0fb87f9ffd84a7d27c0c1feb8f2a12b40ee7231", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006499", "prompt": "Calculate: -5434 + (-7732)", "solution_steps": ["Add: -5434 + (-7732) = -13166"], "final_answer": "-13166", "answer_type": "integer", "kind": "expression", "math_text": "-5434 + (-7732)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5434, \"b\": -7732}", "seed": "1647647983502784188", "semantic_fingerprint": "sha256:7f9b9c3fe5639c979ac9501a3f5ac3613898b1376180bac7e2c757b575c4791f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006500", "prompt": "Evaluate: 3836 * 91277 * (-2792) / 3239", "solution_steps": ["Multiply: 3836 * 91277 = 350138572", "Multiply: 350138572 * (-2792) = -977586893024", "Divide: -977586893024 / 3239 = -977586893024/3239"], "final_answer": "-977586893024/3239", "answer_type": "rational", "kind": "expression", "math_text": "3836 * 91277 * (-2792) / 3239", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3836, \"b\": 91277, \"c\": -2792, \"d\": 3239}", "seed": "7815261946837819538", "semantic_fingerprint": "sha256:764d3b7258271962f765639fb7c7e2156373a20fb4bf9f9bb7b822c83031b064", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006501", "prompt": "Compute: -99845 + 2085 / 7986", "solution_steps": ["Divide: 2085 / 7986 = 695/2662", "Add: -99845 + 695/2662 = -265786695/2662"], "final_answer": "-265786695/2662", "answer_type": "rational", "kind": "expression", "math_text": "-99845 + 2085 / 7986", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99845, \"b\": 2085, \"c\": 7986}", "seed": "7407667047606548699", "semantic_fingerprint": "sha256:bcb581aee489652dc89ca76d2d5d08a85ed738cafc9099823f35b1147190251c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006502", "prompt": "Calculate: 88760 - (1371 - (-38872))", "solution_steps": ["Subtract: 1371 - (-38872) = 40243", "Subtract: 88760 - 40243 = 48517"], "final_answer": "48517", "answer_type": "integer", "kind": "expression", "math_text": "88760 - (1371 - (-38872))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88760, \"b\": 1371, \"c\": -38872}", "seed": "16838154179557315790", "semantic_fingerprint": "sha256:9c24a2282fef18dafbb9bba05b0d73dcb553aab1d3f7639c6e9cb51bba350d7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006503", "prompt": "What is -9976 + (-82208)?", "solution_steps": ["Add: -9976 + (-82208) = -92184"], "final_answer": "-92184", "answer_type": "integer", "kind": "expression", "math_text": "-9976 + (-82208)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9976, \"b\": -82208}", "seed": "16883546347199576275", "semantic_fingerprint": "sha256:e2cf6c555355467273f835c8dd208da4a5c9c85d7e3568e400a451d5ca08d2ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006504", "prompt": "Evaluate: (-9081 - (-6656 - (-9445))) * (-7074 / 1258)", "solution_steps": ["Subtract: -6656 - (-9445) = 2789", "Subtract: -9081 - 2789 = -11870", "Divide: -7074 / 1258 = -3537/629", "Multiply: -11870 * (-3537/629) = 41984190/629"], "final_answer": "41984190/629", "answer_type": "rational", "kind": "expression", "math_text": "(-9081 - (-6656 - (-9445))) * (-7074 / 1258)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9081, \"b\": -6656, \"c\": -9445, \"d\": -7074, \"e\": 1258}", "seed": "7940526230821369765", "semantic_fingerprint": "sha256:0d3dac4d6dfe3705bdbc1698bf074c7407edd0bdc7552c532f4758ef3cdc59db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006505", "prompt": "Solve for x: -24(x - 74580) - 80439 = 27(x + 63452)", "solution_steps": ["Expand: -24x + 1789920 - 80439 = 27(x + 63452)", "Expand: -24x + 1789920 - 80439 = 27x + 1713204", "Combine constants: -24x + 1709481 = 27x + 1713204", "Subtract 27x from both sides: -51x + 1709481 = 1713204", "Subtract 1709481 from both sides: -51x = 3723", "Divide both sides by -51: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x - 74580) - 80439 = 27(x + 63452)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 74580, \"c\": 27, \"d\": 63452, \"f\": -80439, \"x\": -73}", "seed": "13815396237001210671", "semantic_fingerprint": "sha256:d4e6e62f4521a543bc992eb5555d0f158762df57cc221cb9cfd7e85d12831aa9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006506", "prompt": "Compute: -18959 - (-7795 - (-51784)) * (-7968) / (-6404)", "solution_steps": ["Subtract: -7795 - (-51784) = 43989", "Multiply: 43989 * (-7968) = -350504352", "Divide: -350504352 / (-6404) = 87626088/1601", "Subtract: -18959 - 87626088/1601 = -117979447/1601"], "final_answer": "-117979447/1601", "answer_type": "rational", "kind": "expression", "math_text": "-18959 - (-7795 - (-51784)) * (-7968) / (-6404)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18959, \"b\": -7795, \"c\": -51784, \"d\": -7968, \"e\": -6404}", "seed": "13338575916810184902", "semantic_fingerprint": "sha256:3f0060c05f9a961c3585189c2341c70fc746e90b2493390e7563c2f52853f568", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006507", "prompt": "Compute: (86700 / 5985 - (-16704) + 2057) * (45675 - 3321)", "solution_steps": ["Divide: 86700 / 5985 = 5780/399", "Subtract: 5780/399 - (-16704) = 6670676/399", "Add: 6670676/399 + 2057 = 7491419/399", "Subtract: 45675 - 3321 = 42354", "Multiply: (7491419/399) * 42354 = 105763853442/133"], "final_answer": "105763853442/133", "answer_type": "rational", "kind": "expression", "math_text": "(86700 / 5985 - (-16704) + 2057) * (45675 - 3321)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 86700, \"b\": 5985, \"c\": -16704, \"d\": 2057, \"e\": 45675, \"f\": 3321}", "seed": "12138704871782842173", "semantic_fingerprint": "sha256:cbcdac5c14de0c2cc56970b33d5ea83d6bde7416d96d327ed96711f8df8c4a34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006508", "prompt": "Evaluate: 2777 - (-65334 + (-9247) / (-8721))", "solution_steps": ["Divide: -9247 / (-8721) = 9247/8721", "Add: -65334 + 9247/8721 = -569768567/8721", "Subtract: 2777 - (-569768567/8721) = 593986784/8721"], "final_answer": "593986784/8721", "answer_type": "rational", "kind": "expression", "math_text": "2777 - (-65334 + (-9247) / (-8721))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2777, \"b\": -65334, \"c\": -9247, \"d\": -8721}", "seed": "2912079184614965405", "semantic_fingerprint": "sha256:f41d3ae6770a895caac8f6446f4e89b643f055b7f7461735032ba2ceabea351c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006509", "prompt": "Calculate: 75473 - (-34577)", "solution_steps": ["Subtract: 75473 - (-34577) = 110050"], "final_answer": "110050", "answer_type": "integer", "kind": "expression", "math_text": "75473 - (-34577)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 75473, \"b\": -34577}", "seed": "6227969991040371388", "semantic_fingerprint": "sha256:66fe3e3ae632eacb75329974fe4fccbd397fc1efe0e712b78cd28d089e9d540e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006510", "prompt": "Calculate: -66592 + (-1196 - (-97610 - (-20803)))", "solution_steps": ["Subtract: -97610 - (-20803) = -76807", "Subtract: -1196 - (-76807) = 75611", "Add: -66592 + 75611 = 9019"], "final_answer": "9019", "answer_type": "integer", "kind": "expression", "math_text": "-66592 + (-1196 - (-97610 - (-20803)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -66592, \"b\": -1196, \"c\": -97610, \"d\": -20803}", "seed": "17410622415469094751", "semantic_fingerprint": "sha256:3181803734237670e4a2f32c80bd7d2288543b29585482e2ae7fe5f1a3886d85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006511", "prompt": "Calculate: -70559 + (-9382) / (-84276)", "solution_steps": ["Divide: -9382 / (-84276) = 4691/42138", "Add: -70559 + 4691/42138 = -2973210451/42138"], "final_answer": "-2973210451/42138", "answer_type": "rational", "kind": "expression", "math_text": "-70559 + (-9382) / (-84276)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70559, \"b\": -9382, \"c\": -84276}", "seed": "12418133498756392756", "semantic_fingerprint": "sha256:6ef85aa2eb2c1385176c3516b365fe497829479433985933a6f3105520ad58b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006512", "prompt": "Calculate: -83547 / (7724 / (-3865))", "solution_steps": ["Divide: 7724 / (-3865) = -7724/3865", "Divide: -83547 / (-7724/3865) = 322909155/7724"], "final_answer": "322909155/7724", "answer_type": "rational", "kind": "expression", "math_text": "-83547 / (7724 / (-3865))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83547, \"b\": 7724, \"c\": -3865}", "seed": "578069794056584998", "semantic_fingerprint": "sha256:d334813c66bff4f522c2f88d42b91ef3eceaae879078ef5aa7ab79180242bc85", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006513", "prompt": "Find x: -30(x + 54061) = 20x + 29701", "solution_steps": ["Expand: -30x - 1621830 = 20x + 29701", "Subtract 20x from both sides: -50x - 1621830 = 29701", "Add 1621830 to both sides: -50x = 1651531", "Divide both sides by -50: x = -1651531/50"], "final_answer": "-1651531/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 54061) = 20x + 29701", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 54061, \"c\": 20, \"d\": 29701}", "seed": "4566144515222267835", "semantic_fingerprint": "sha256:23e5cfb525e186b4e31a85c244b6b6c4ccc245fec9efed38e1b48a89afae9f86", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006514", "prompt": "What value of x satisfies -31x = -25(x - 8514)?", "solution_steps": ["Expand: -31x = -25x + 212850", "Add 25x to both sides: -6x = 212850", "Divide both sides by -6: x = -35475"], "final_answer": "-35475", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x = -25(x - 8514)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": -25, \"c\": 8514}", "seed": "10360968523957842721", "semantic_fingerprint": "sha256:2ebbdd41f5ccb86571b3d8247d1f0bc4e4cad6fde97d2dd87a647b5855824e3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006515", "prompt": "Compute: -18255 + (7485 - 1459 * (3934 / (-86552)))", "solution_steps": ["Divide: 3934 / (-86552) = -1967/43276", "Multiply: 1459 * (-1967/43276) = -2869853/43276", "Subtract: 7485 - (-2869853/43276) = 326790713/43276", "Add: -18255 + 326790713/43276 = -463212667/43276"], "final_answer": "-463212667/43276", "answer_type": "rational", "kind": "expression", "math_text": "-18255 + (7485 - 1459 * (3934 / (-86552)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18255, \"b\": 7485, \"c\": 1459, \"d\": 3934, \"e\": -86552}", "seed": "5047894933544405777", "semantic_fingerprint": "sha256:7cf0cdd43a7a659abb4f2e82cb5b22fc67f504a2dcc4f2d483aaa0d47e5b16da", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006516", "prompt": "What is 2851 + (-1760) + (-27675)?", "solution_steps": ["Add: 2851 + (-1760) = 1091", "Add: 1091 + (-27675) = -26584"], "final_answer": "-26584", "answer_type": "integer", "kind": "expression", "math_text": "2851 + (-1760) + (-27675)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2851, \"b\": -1760, \"c\": -27675}", "seed": "17152906272617018979", "semantic_fingerprint": "sha256:0fc0fd99c41a7c6291e1ffcfd7bd83e390bb35650eec83e27cb4a8ed7081691c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006517", "prompt": "Evaluate: 16902 * 87975 + (-2213 - (6066 + (-9465)))", "solution_steps": ["Multiply: 16902 * 87975 = 1486953450", "Add: 6066 + (-9465) = -3399", "Subtract: -2213 - (-3399) = 1186", "Add: 1486953450 + 1186 = 1486954636"], "final_answer": "1486954636", "answer_type": "integer", "kind": "expression", "math_text": "16902 * 87975 + (-2213 - (6066 + (-9465)))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16902, \"b\": 87975, \"c\": -2213, \"d\": 6066, \"e\": -9465}", "seed": "11353159408902840434", "semantic_fingerprint": "sha256:05b5961f28bb96a3fd97a0e1f571ecc67c24f225b376485abdfbb2db2214ad55", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006518", "prompt": "What is -3274 * (-7285 + (-5930))?", "solution_steps": ["Add: -7285 + (-5930) = -13215", "Multiply: -3274 * (-13215) = 43265910"], "final_answer": "43265910", "answer_type": "integer", "kind": "expression", "math_text": "-3274 * (-7285 + (-5930))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3274, \"b\": -7285, \"c\": -5930}", "seed": "3876563561481241459", "semantic_fingerprint": "sha256:98c8b1502b7124de042de3af93b46979f79cc3cb178795f352c116164466dc3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006519", "prompt": "Solve for x: 37(x + 7887) - 8184 = -33(x - 46631) - 61754", "solution_steps": ["Expand: 37x + 291819 - 8184 = -33(x - 46631) - 61754", "Expand: 37x + 291819 - 8184 = -33x + 1538823 - 61754", "Combine constants: 37x + 283635 = -33x + 1538823 - 61754", "Combine constants: 37x + 283635 = -33x + 1477069", "Add 33x to both sides: 70x + 283635 = 1477069", "Subtract 283635 from both sides: 70x = 1193434", "Divide both sides by 70: x = 596717/35"], "final_answer": "596717/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 7887) - 8184 = -33(x - 46631) - 61754", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 7887, \"c\": 8184, \"d\": -33, \"e\": 46631, \"f\": 61754}", "seed": "6957744979843840126", "semantic_fingerprint": "sha256:0edbe9f221d7dfa00da2f983167bbee433fb81d085ddc41eb109076d2c7a3bcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006520", "prompt": "Solve for x: x - 94832 = -26(x - 56115) - 1525", "solution_steps": ["Expand: x - 94832 = -26x + 1458990 - 1525", "Combine constants: x - 94832 = -26x + 1457465", "Add 26x to both sides: 27x - 94832 = 1457465", "Add 94832 to both sides: 27x = 1552297", "Divide both sides by 27: x = 1552297/27"], "final_answer": "1552297/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 94832 = -26(x - 56115) - 1525", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94832, \"b\": -26, \"c\": 56115, \"d\": 1525}", "seed": "15916670349254087911", "semantic_fingerprint": "sha256:c5e675abced5237a4400c01cae951a9546cec9e76059fc0f95319e15b6ffb48a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006521", "prompt": "Evaluate: 9666 - (-1083) * (-5632)", "solution_steps": ["Multiply: -1083 * (-5632) = 6099456", "Subtract: 9666 - 6099456 = -6089790"], "final_answer": "-6089790", "answer_type": "integer", "kind": "expression", "math_text": "9666 - (-1083) * (-5632)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9666, \"b\": -1083, \"c\": -5632}", "seed": "6245703498993868280", "semantic_fingerprint": "sha256:04f4c20519349e9c7bdaf2891ed2aa9b094e1a3a2bd2bc2776f754b310232e20", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006522", "prompt": "Calculate: -9703 * (-1753) - (-9526 + 2739)", "solution_steps": ["Multiply: -9703 * (-1753) = 17009359", "Add: -9526 + 2739 = -6787", "Subtract: 17009359 - (-6787) = 17016146"], "final_answer": "17016146", "answer_type": "integer", "kind": "expression", "math_text": "-9703 * (-1753) - (-9526 + 2739)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9703, \"b\": -1753, \"c\": -9526, \"d\": 2739}", "seed": "6285439037300449846", "semantic_fingerprint": "sha256:6b10ae854c5d67a26bb405a5efedc8a467713a4ebe76f13d3db0b687e5bb3524", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006523", "prompt": "Evaluate: 6499 - 6551", "solution_steps": ["Subtract: 6499 - 6551 = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "6499 - 6551", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6499, \"b\": 6551}", "seed": "2163695978537192028", "semantic_fingerprint": "sha256:0283f652b3e9d7a50d2124cdf413baa2c2ef82c4217ebd47066268fa8e236b61", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006524", "prompt": "What is -58145 + 27816 / (-3572)?", "solution_steps": ["Divide: 27816 / (-3572) = -366/47", "Add: -58145 + (-366/47) = -2733181/47"], "final_answer": "-2733181/47", "answer_type": "rational", "kind": "expression", "math_text": "-58145 + 27816 / (-3572)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58145, \"b\": 27816, \"c\": -3572}", "seed": "11461306656191064014", "semantic_fingerprint": "sha256:c02a7fb33e9079a209589c6c5a370584da9de5df170fff41b537f522862fdc9a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006525", "prompt": "What is 46038 - (42553 - (-1088))?", "solution_steps": ["Subtract: 42553 - (-1088) = 43641", "Subtract: 46038 - 43641 = 2397"], "final_answer": "2397", "answer_type": "integer", "kind": "expression", "math_text": "46038 - (42553 - (-1088))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46038, \"b\": 42553, \"c\": -1088}", "seed": "5009355715477478601", "semantic_fingerprint": "sha256:0f37e6735621e92680d9b4b5c176b2eb0d98f666680dfc8436539a6e4b696976", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006526", "prompt": "Compute: -2403 / (-6444 / (-8230))", "solution_steps": ["Divide: -6444 / (-8230) = 3222/4115", "Divide: -2403 / (3222/4115) = -1098705/358"], "final_answer": "-1098705/358", "answer_type": "rational", "kind": "expression", "math_text": "-2403 / (-6444 / (-8230))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2403, \"b\": -6444, \"c\": -8230}", "seed": "5929856000318612304", "semantic_fingerprint": "sha256:c8ea3a84552bb86e1aeccb966affd6b06d0f89a4d960a5a1be61c95b3a0503de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006527", "prompt": "Evaluate: 7711 / (7215 + (-6959)) - 9377", "solution_steps": ["Add: 7215 + (-6959) = 256", "Divide: 7711 / 256 = 7711/256", "Subtract: 7711/256 - 9377 = -2392801/256"], "final_answer": "-2392801/256", "answer_type": "rational", "kind": "expression", "math_text": "7711 / (7215 + (-6959)) - 9377", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7711, \"b\": 7215, \"c\": -6959, \"d\": 9377}", "seed": "4358397552314791927", "semantic_fingerprint": "sha256:78f187d289fc02bca6890617c5e3eb646e4bef254bc031d01d2a86196a322bbc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006528", "prompt": "Evaluate: -1906 * (9469 + (-2625))", "solution_steps": ["Add: 9469 + (-2625) = 6844", "Multiply: -1906 * 6844 = -13044664"], "final_answer": "-13044664", "answer_type": "integer", "kind": "expression", "math_text": "-1906 * (9469 + (-2625))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1906, \"b\": 9469, \"c\": -2625}", "seed": "11268516567476316263", "semantic_fingerprint": "sha256:d1fe580353d59aa7e112bd20b4396525a109ab7a98e2e9cb477d70bfb2c7d0f5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006529", "prompt": "Compute: 5476 + (-9224) * 18389", "solution_steps": ["Multiply: -9224 * 18389 = -169620136", "Add: 5476 + (-169620136) = -169614660"], "final_answer": "-169614660", "answer_type": "integer", "kind": "expression", "math_text": "5476 + (-9224) * 18389", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5476, \"b\": -9224, \"c\": 18389}", "seed": "5220031602559846651", "semantic_fingerprint": "sha256:c27fd35552d6e94e4c8c1d32e0780718a60d9a75ef2cd786d9fdd686e72d88ae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006530", "prompt": "Evaluate: 2888 - (-8607) - (-5213) + 2955", "solution_steps": ["Subtract: 2888 - (-8607) = 11495", "Subtract: 11495 - (-5213) = 16708", "Add: 16708 + 2955 = 19663"], "final_answer": "19663", "answer_type": "integer", "kind": "expression", "math_text": "2888 - (-8607) - (-5213) + 2955", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2888, \"b\": -8607, \"c\": -5213, \"d\": 2955}", "seed": "3108451945384569371", "semantic_fingerprint": "sha256:38b92d9d26731895ed286c6fe8b2e72fef92c017a72cd9403826d3b65319051d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006531", "prompt": "Find x: 40x + 3039 = x", "solution_steps": ["Subtract x from both sides: 39x + 3039 = 0", "Subtract 3039 from both sides: 39x = -3039", "Divide both sides by 39: x = -1013/13"], "final_answer": "-1013/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x + 3039 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 3039}", "seed": "2835218707043055733", "semantic_fingerprint": "sha256:977d5169891a6c41984017b688ff972e8b74f85fc71fa0e19f51d3779be5b8cb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006532", "prompt": "What is 74057 / (9336 - 1440) + (7490 + (-95819))?", "solution_steps": ["Subtract: 9336 - 1440 = 7896", "Divide: 74057 / 7896 = 74057/7896", "Add: 7490 + (-95819) = -88329", "Add: 74057/7896 + (-88329) = -697371727/7896"], "final_answer": "-697371727/7896", "answer_type": "rational", "kind": "expression", "math_text": "74057 / (9336 - 1440) + (7490 + (-95819))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 74057, \"b\": 9336, \"c\": 1440, \"d\": 7490, \"e\": -95819}", "seed": "6423662225052227365", "semantic_fingerprint": "sha256:ba72fb93087d13b60b01b1d065ff1e21d5e070eaa61cc9e4755fd4b5b8acdaad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006533", "prompt": "What value of x satisfies 28x + 6962 = -29x + 11009?", "solution_steps": ["Add 29x to both sides: 57x + 6962 = 11009", "Subtract 6962 from both sides: 57x = 4047", "Divide both sides by 57: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 6962 = -29x + 11009", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 6962, \"c\": -29, \"e\": 11009, \"x\": 71}", "seed": "11798313191597604666", "semantic_fingerprint": "sha256:3fe38f09ae44c31375aba9f6115117cebcc17b752c56694bf54b849bc00837fe", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006534", "prompt": "Calculate: 6214 / 5900", "solution_steps": ["Divide: 6214 / 5900 = 3107/2950"], "final_answer": "3107/2950", "answer_type": "rational", "kind": "expression", "math_text": "6214 / 5900", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6214, \"b\": 5900}", "seed": "5326490437522762811", "semantic_fingerprint": "sha256:a7f839e3d9f8519550afc077ddc0e4a61d8e20dc957849da89ed85ff42fec64b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006535", "prompt": "Solve for x: -20(x - 2586) = 40(x + 54285)", "solution_steps": ["Expand: -20x + 51720 = 40(x + 54285)", "Expand: -20x + 51720 = 40x + 2171400", "Subtract 40x from both sides: -60x + 51720 = 2171400", "Subtract 51720 from both sides: -60x = 2119680", "Divide both sides by -60: x = -35328"], "final_answer": "-35328", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x - 2586) = 40(x + 54285)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 2586, \"c\": 40, \"d\": 54285}", "seed": "16805477848678053905", "semantic_fingerprint": "sha256:48f2b76986848d83484ddffcfe5c6d8071764457a64245d1327f77f4ab6f7d62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006536", "prompt": "What is 4027 + (-75429 + 85350 * (-8284 / (-87761)))?", "solution_steps": ["Divide: -8284 / (-87761) = 436/4619", "Multiply: 85350 * (436/4619) = 37212600/4619", "Add: -75429 + 37212600/4619 = -311193951/4619", "Add: 4027 + (-311193951/4619) = -292593238/4619"], "final_answer": "-292593238/4619", "answer_type": "rational", "kind": "expression", "math_text": "4027 + (-75429 + 85350 * (-8284 / (-87761)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4027, \"b\": -75429, \"c\": 85350, \"d\": -8284, \"e\": -87761}", "seed": "7728088551679047778", "semantic_fingerprint": "sha256:c3acf210624f37dc6d91491dbc2e2e2134e9c81edc5d77803a4fc71e1f12133a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006537", "prompt": "What is 3831 + 6857 - 7459 / 2502?", "solution_steps": ["Add: 3831 + 6857 = 10688", "Divide: 7459 / 2502 = 7459/2502", "Subtract: 10688 - 7459/2502 = 26733917/2502"], "final_answer": "26733917/2502", "answer_type": "rational", "kind": "expression", "math_text": "3831 + 6857 - 7459 / 2502", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3831, \"b\": 6857, \"c\": 7459, \"d\": 2502}", "seed": "8475714265586906906", "semantic_fingerprint": "sha256:bb438b5bb00df20fc3a3850fbe3ec253c0ab90fa7354849becd54d42a56b62df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006538", "prompt": "Find x: 13(x + 5010) - 84468 = -37(x - 8224) - 83411", "solution_steps": ["Expand: 13x + 65130 - 84468 = -37(x - 8224) - 83411", "Expand: 13x + 65130 - 84468 = -37x + 304288 - 83411", "Combine constants: 13x - 19338 = -37x + 304288 - 83411", "Combine constants: 13x - 19338 = -37x + 220877", "Add 37x to both sides: 50x - 19338 = 220877", "Add 19338 to both sides: 50x = 240215", "Divide both sides by 50: x = 48043/10"], "final_answer": "48043/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 5010) - 84468 = -37(x - 8224) - 83411", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5010, \"c\": 84468, \"d\": -37, \"e\": 8224, \"f\": 83411}", "seed": "12604353786130898954", "semantic_fingerprint": "sha256:f067fbf4eb81f30bddccbced9b253596ebb75965e400e3c4685694424961d1ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006539", "prompt": "Compute: -2461 / (8626 + 9874)", "solution_steps": ["Add: 8626 + 9874 = 18500", "Divide: -2461 / 18500 = -2461/18500"], "final_answer": "-2461/18500", "answer_type": "rational", "kind": "expression", "math_text": "-2461 / (8626 + 9874)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2461, \"b\": 8626, \"c\": 9874}", "seed": "5332505775044278477", "semantic_fingerprint": "sha256:0e31d15d9930267f0316c6da338cba9ddf9c9cbec6ed0147c30289ec84aee465", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006540", "prompt": "Evaluate: 1347 + (-1180) - 3451 / (21506 + 73761)", "solution_steps": ["Add: 1347 + (-1180) = 167", "Add: 21506 + 73761 = 95267", "Divide: 3451 / 95267 = 3451/95267", "Subtract: 167 - 3451/95267 = 15906138/95267"], "final_answer": "15906138/95267", "answer_type": "rational", "kind": "expression", "math_text": "1347 + (-1180) - 3451 / (21506 + 73761)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1347, \"b\": -1180, \"c\": 3451, \"d\": 21506, \"e\": 73761}", "seed": "8369064437022945330", "semantic_fingerprint": "sha256:a2a39e97ca70e9381bc36ebbdd1fcfa613efe1e5e0650487dd1d03d3826cf1cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006541", "prompt": "Solve the equation 31(x - 2429) = 40(x - 1252) for x.", "solution_steps": ["Expand: 31x - 75299 = 40(x - 1252)", "Expand: 31x - 75299 = 40x - 50080", "Subtract 40x from both sides: -9x - 75299 = -50080", "Add 75299 to both sides: -9x = 25219", "Divide both sides by -9: x = -25219/9"], "final_answer": "-25219/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 2429) = 40(x - 1252)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2429, \"c\": 40, \"d\": 1252}", "seed": "6176394270008483159", "semantic_fingerprint": "sha256:b1e9438ac1a6a2cdc3396fa112a090588679844ef32bf09ead810dd0fec6940b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006542", "prompt": "What value of x satisfies 26(x + 2911) = -31(x - 9150)?", "solution_steps": ["Expand: 26x + 75686 = -31(x - 9150)", "Expand: 26x + 75686 = -31x + 283650", "Add 31x to both sides: 57x + 75686 = 283650", "Subtract 75686 from both sides: 57x = 207964", "Divide both sides by 57: x = 207964/57"], "final_answer": "207964/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 2911) = -31(x - 9150)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2911, \"c\": -31, \"d\": 9150}", "seed": "15151396283685883965", "semantic_fingerprint": "sha256:9a2928cb11fa8dfa93f8ce1f9f308abf031d4e8387f31f7efecc5e6ee7ca7983", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006543", "prompt": "Find x: 39x + 1785 = 9195", "solution_steps": ["Subtract 1785 from both sides: 39x = 7410", "Divide both sides by 39: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 1785 = 9195", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 1785, \"d\": 9195, \"x\": 190}", "seed": "3931977231619204202", "semantic_fingerprint": "sha256:816fff2fa62ed0bab323504539845af8e406980b3912054d15c82524437dc588", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006544", "prompt": "Solve for x: x - 6149 = 36(x - 1032) - 1316", "solution_steps": ["Expand: x - 6149 = 36x - 37152 - 1316", "Combine constants: x - 6149 = 36x - 38468", "Subtract 36x from both sides: -35x - 6149 = -38468", "Add 6149 to both sides: -35x = -32319", "Divide both sides by -35: x = 4617/5"], "final_answer": "4617/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6149 = 36(x - 1032) - 1316", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6149, \"b\": 36, \"c\": 1032, \"d\": 1316}", "seed": "12806405909900957994", "semantic_fingerprint": "sha256:805ba628c89ec168b32f3145f818005d50405e1e47a2c27c330aa430e5af9ef2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006545", "prompt": "Calculate: -9904 / (-11132) + (-11717) * 8422 + 4669", "solution_steps": ["Divide: -9904 / (-11132) = 2476/2783", "Multiply: -11717 * 8422 = -98680574", "Add: 2476/2783 + (-98680574) = -274628034966/2783", "Add: -274628034966/2783 + 4669 = -274615041139/2783"], "final_answer": "-274615041139/2783", "answer_type": "rational", "kind": "expression", "math_text": "-9904 / (-11132) + (-11717) * 8422 + 4669", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9904, \"b\": -11132, \"c\": -11717, \"d\": 8422, \"e\": 4669}", "seed": "11461799560668393404", "semantic_fingerprint": "sha256:43186935cfecdf9597758aeadf945b0d6b6a5c552fea1f80e7d6f88c26b99678", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006546", "prompt": "What is -78060 * (33318 + 8241)?", "solution_steps": ["Add: 33318 + 8241 = 41559", "Multiply: -78060 * 41559 = -3244095540"], "final_answer": "-3244095540", "answer_type": "integer", "kind": "expression", "math_text": "-78060 * (33318 + 8241)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -78060, \"b\": 33318, \"c\": 8241}", "seed": "13283747572015133124", "semantic_fingerprint": "sha256:b1b9796f92f8c783453c89129573b60f5184f3d86ce9e60fd86bc4b68f4f43a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006547", "prompt": "What is -37430 / (-1851 / 5118) - 82564?", "solution_steps": ["Divide: -1851 / 5118 = -617/1706", "Divide: -37430 / (-617/1706) = 63855580/617", "Subtract: 63855580/617 - 82564 = 12913592/617"], "final_answer": "12913592/617", "answer_type": "rational", "kind": "expression", "math_text": "-37430 / (-1851 / 5118) - 82564", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37430, \"b\": -1851, \"c\": 5118, \"d\": 82564}", "seed": "17939171166096281255", "semantic_fingerprint": "sha256:3ca79c24d93c2300f87298045a5e5a19329672b7ab038cb735fb9493f0261b8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006548", "prompt": "Solve for x: 31x + 20547 = x + 15687", "solution_steps": ["Subtract x from both sides: 30x + 20547 = 15687", "Subtract 20547 from both sides: 30x = -4860", "Divide both sides by 30: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 20547 = x + 15687", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 20547, \"d\": 15687, \"x\": -162}", "seed": "1546167882603809318", "semantic_fingerprint": "sha256:76dd7fe0810501487b51a7406099b6bf34995b57bdea73554feff27b6c10ed79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006549", "prompt": "What is 12554 / 70486 + 4151?", "solution_steps": ["Divide: 12554 / 70486 = 6277/35243", "Add: 6277/35243 + 4151 = 146299970/35243"], "final_answer": "146299970/35243", "answer_type": "rational", "kind": "expression", "math_text": "12554 / 70486 + 4151", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12554, \"b\": 70486, \"c\": 4151}", "seed": "15587584144790332759", "semantic_fingerprint": "sha256:4444580fc0efdffb61c3232a009cc97dcb1d07da83ad6bd159276b584f60be7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006550", "prompt": "Calculate: -92906 - (-43290) * 3574", "solution_steps": ["Multiply: -43290 * 3574 = -154718460", "Subtract: -92906 - (-154718460) = 154625554"], "final_answer": "154625554", "answer_type": "integer", "kind": "expression", "math_text": "-92906 - (-43290) * 3574", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -92906, \"b\": -43290, \"c\": 3574}", "seed": "1116986635745479573", "semantic_fingerprint": "sha256:908b0006ed12646221e7371f65e83c17737e2465bfe29a8c996f5b920e772839", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006551", "prompt": "Evaluate: 3741 + 4507 * 2285", "solution_steps": ["Multiply: 4507 * 2285 = 10298495", "Add: 3741 + 10298495 = 10302236"], "final_answer": "10302236", "answer_type": "integer", "kind": "expression", "math_text": "3741 + 4507 * 2285", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3741, \"b\": 4507, \"c\": 2285}", "seed": "8750025262045678818", "semantic_fingerprint": "sha256:c407557741887bac8fc6eb6bcdbae252ebf5b9cf53eb0486ba9581b309e8cd7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006552", "prompt": "What value of x satisfies -27x - 1143 = x?", "solution_steps": ["Subtract x from both sides: -28x - 1143 = 0", "Add 1143 to both sides: -28x = 1143", "Divide both sides by -28: x = -1143/28"], "final_answer": "-1143/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27x - 1143 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 1143}", "seed": "10934986876449374636", "semantic_fingerprint": "sha256:08f8ce33e4a9899da4241e555cc67b70b4fc4fffd7627bc1ededfad39ec0125a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006553", "prompt": "Solve the equation -26x - 4536 = x for x.", "solution_steps": ["Subtract x from both sides: -27x - 4536 = 0", "Add 4536 to both sides: -27x = 4536", "Divide both sides by -27: x = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x - 4536 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"c\": -4536, \"x\": -168}", "seed": "5984568584995485959", "semantic_fingerprint": "sha256:fadfcb05b89bc6b409574f4d778949d92149f1a0a3448d5e0e6b3923045cb829", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006554", "prompt": "What value of x satisfies x = -39(x + 6811) + 8274?", "solution_steps": ["Expand: x = -39x - 265629 + 8274", "Combine constants: x = -39x - 257355", "Add 39x to both sides: 40x = -257355", "Divide both sides by 40: x = -51471/8"], "final_answer": "-51471/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -39(x + 6811) + 8274", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 6811, \"c\": 8274}", "seed": "16789425149113478394", "semantic_fingerprint": "sha256:55cdaba46cdb138ac42fed1a5921873d4cbdb1a9a8c56f64eeebb6c5264e68e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006555", "prompt": "What is -6350 * (9760 + (-6882))?", "solution_steps": ["Add: 9760 + (-6882) = 2878", "Multiply: -6350 * 2878 = -18275300"], "final_answer": "-18275300", "answer_type": "integer", "kind": "expression", "math_text": "-6350 * (9760 + (-6882))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6350, \"b\": 9760, \"c\": -6882}", "seed": "17956024567721759651", "semantic_fingerprint": "sha256:09716f2b8e50aed1e684f2698c62bcc1581a08b2259ff4ece0fa332eb9ed5b5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006556", "prompt": "Find x: 34x + 72575 = 6900", "solution_steps": ["Subtract 72575 from both sides: 34x = -65675", "Divide both sides by 34: x = -65675/34"], "final_answer": "-65675/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 72575 = 6900", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 72575, \"c\": 6900}", "seed": "13483403693774442066", "semantic_fingerprint": "sha256:3dddfc7ca67781f7c19e4962fdf1a86b293876181216e91d991cd2f9f33f65b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006557", "prompt": "Evaluate: -49068 + 5554 * 25551", "solution_steps": ["Multiply: 5554 * 25551 = 141910254", "Add: -49068 + 141910254 = 141861186"], "final_answer": "141861186", "answer_type": "integer", "kind": "expression", "math_text": "-49068 + 5554 * 25551", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49068, \"b\": 5554, \"c\": 25551}", "seed": "13536012334393778270", "semantic_fingerprint": "sha256:db05b3376138b5a936a2214e43c9f58ba3b10289b5f395bd9e217eca502312a0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006558", "prompt": "What value of x satisfies 13x = 28x?", "solution_steps": ["Subtract 28x from both sides: -15x = 0", "Divide both sides by -15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x = 28x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 28}", "seed": "12488783742930175713", "semantic_fingerprint": "sha256:0c00b9132c64f981a1ea54987d2da412fe20b8c655461bc51934186b3c3f27b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006559", "prompt": "What value of x satisfies 31x = -28x + 8555?", "solution_steps": ["Add 28x to both sides: 59x = 8555", "Divide both sides by 59: x = 145"], "final_answer": "145", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = -28x + 8555", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": -28, \"d\": 8555, \"x\": 145}", "seed": "7419866015911435845", "semantic_fingerprint": "sha256:16d3c699dd7dd778a46f396ac01ee23f8bce3abb22e5b809a01197f0ac601761", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006560", "prompt": "Calculate: 37766 - 4462 - 4154 + 5735", "solution_steps": ["Subtract: 37766 - 4462 = 33304", "Subtract: 33304 - 4154 = 29150", "Add: 29150 + 5735 = 34885"], "final_answer": "34885", "answer_type": "integer", "kind": "expression", "math_text": "37766 - 4462 - 4154 + 5735", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37766, \"b\": 4462, \"c\": 4154, \"d\": 5735}", "seed": "9196893896503070517", "semantic_fingerprint": "sha256:18271a0bfd139f3d1aafb3f7e35ec2a9f0d73a8aa420a4e78937912fd0a61b50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006561", "prompt": "Solve for x: x + 6560 = 29x + 2360", "solution_steps": ["Subtract 29x from both sides: -28x + 6560 = 2360", "Subtract 6560 from both sides: -28x = -4200", "Divide both sides by -28: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6560 = 29x + 2360", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6560, \"b\": 29, \"d\": 2360, \"x\": 150}", "seed": "17932590569230038272", "semantic_fingerprint": "sha256:24a82ea800eb777c783da864442df1162912cfbfa06b59bd9095930793c22d20", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006562", "prompt": "Find x: 28(x + 1701) - 4652 = -32x + 36616", "solution_steps": ["Expand: 28x + 47628 - 4652 = -32x + 36616", "Combine constants: 28x + 42976 = -32x + 36616", "Add 32x to both sides: 60x + 42976 = 36616", "Subtract 42976 from both sides: 60x = -6360", "Divide both sides by 60: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 1701) - 4652 = -32x + 36616", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1701, \"c\": 4652, \"d\": -32, \"f\": 36616, \"x\": -106}", "seed": "3765728202057972124", "semantic_fingerprint": "sha256:a5cfcab14fb7736c52b11745f4d2243760a40c653dc97592f39503dfd74303d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006563", "prompt": "Compute: (-2624 + (-4216)) * (-9862 * (-2699))", "solution_steps": ["Add: -2624 + (-4216) = -6840", "Multiply: -9862 * (-2699) = 26617538", "Multiply: -6840 * 26617538 = -182063959920"], "final_answer": "-182063959920", "answer_type": "integer", "kind": "expression", "math_text": "(-2624 + (-4216)) * (-9862 * (-2699))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2624, \"b\": -4216, \"c\": -9862, \"d\": -2699}", "seed": "115045476914276389", "semantic_fingerprint": "sha256:e0e6cf2db7f040b36b46700926cd864aa09a984a084eca8f742170ae7a30bd64", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006564", "prompt": "Evaluate: 19739 * (-7503 / 40512)", "solution_steps": ["Divide: -7503 / 40512 = -2501/13504", "Multiply: 19739 * (-2501/13504) = -49367239/13504"], "final_answer": "-49367239/13504", "answer_type": "rational", "kind": "expression", "math_text": "19739 * (-7503 / 40512)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19739, \"b\": -7503, \"c\": 40512}", "seed": "7956554679443900707", "semantic_fingerprint": "sha256:174bef3285571a03465446e32c685d759bf3ca7ece3c2dc6f004334b5a4d0968", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006565", "prompt": "Find x: x - 8473 = 35x - 3101", "solution_steps": ["Subtract 35x from both sides: -34x - 8473 = -3101", "Add 8473 to both sides: -34x = 5372", "Divide both sides by -34: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8473 = 35x - 3101", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8473, \"b\": 35, \"d\": -3101, \"x\": -158}", "seed": "14623304678067050520", "semantic_fingerprint": "sha256:d5f9673f857bce6b0f4ca731ace833cc7ef227fdf99d4509679ab6ae87c161a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006566", "prompt": "Calculate: (-6537 - 32217 + 9236 - (3581 + (-76709))) / (-6929)", "solution_steps": ["Subtract: -6537 - 32217 = -38754", "Add: -38754 + 9236 = -29518", "Add: 3581 + (-76709) = -73128", "Subtract: -29518 - (-73128) = 43610", "Divide: 43610 / (-6929) = -43610/6929"], "final_answer": "-43610/6929", "answer_type": "rational", "kind": "expression", "math_text": "(-6537 - 32217 + 9236 - (3581 + (-76709))) / (-6929)", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ (- n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6537, \"b\": 32217, \"c\": 9236, \"d\": 3581, \"e\": -76709, \"f\": -6929}", "seed": "1660277552771738112", "semantic_fingerprint": "sha256:6c85fd39d919232dc79cec17ab72912b68e0353de400eda882015b6fea373de8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006567", "prompt": "Calculate: -8037 + (-78205)", "solution_steps": ["Add: -8037 + (-78205) = -86242"], "final_answer": "-86242", "answer_type": "integer", "kind": "expression", "math_text": "-8037 + (-78205)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8037, \"b\": -78205}", "seed": "9047876876752486338", "semantic_fingerprint": "sha256:e41a347fdf2c25671c6f7491bee3498f782e09354e220bddbb229ee8b8ce0173", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006568", "prompt": "What is 59443 / 66784 + 49507?", "solution_steps": ["Divide: 59443 / 66784 = 59443/66784", "Add: 59443/66784 + 49507 = 3306334931/66784"], "final_answer": "3306334931/66784", "answer_type": "rational", "kind": "expression", "math_text": "59443 / 66784 + 49507", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59443, \"b\": 66784, \"c\": 49507}", "seed": "1403712778893637402", "semantic_fingerprint": "sha256:5641c548790e8832107a586c57bfee327f11650fc0ece023f5e2c492b24df450", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006569", "prompt": "Evaluate: (83505 + (-5616)) / 23277", "solution_steps": ["Add: 83505 + (-5616) = 77889", "Divide: 77889 / 23277 = 25963/7759"], "final_answer": "25963/7759", "answer_type": "rational", "kind": "expression", "math_text": "(83505 + (-5616)) / 23277", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83505, \"b\": -5616, \"c\": 23277}", "seed": "10662978171515174547", "semantic_fingerprint": "sha256:9969bd66c027090e024a691d4b676ca080932be18f7f0ceffdf87bbc743d595b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006570", "prompt": "Find x: 30x = -76979", "solution_steps": ["Divide both sides by 30: x = -76979/30"], "final_answer": "-76979/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = -76979", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -76979}", "seed": "10967525090268040624", "semantic_fingerprint": "sha256:1f5da9152f877ba4ee26ecc77229b04ec8ec67a67b455333ea2cf92edd566b5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006571", "prompt": "Calculate: 39629 - 9207 / (-3436) + 4255", "solution_steps": ["Divide: 9207 / (-3436) = -9207/3436", "Subtract: 39629 - (-9207/3436) = 136174451/3436", "Add: 136174451/3436 + 4255 = 150794631/3436"], "final_answer": "150794631/3436", "answer_type": "rational", "kind": "expression", "math_text": "39629 - 9207 / (-3436) + 4255", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39629, \"b\": 9207, \"c\": -3436, \"d\": 4255}", "seed": "15410373817987354212", "semantic_fingerprint": "sha256:f210569cd6909f21d73789ffebe1042fdcf6964ebd4ac8c93272bafad7d6b7f9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006572", "prompt": "Calculate: (55309 + (-6273)) / (33878 + 55521) + (-4751)", "solution_steps": ["Add: 55309 + (-6273) = 49036", "Add: 33878 + 55521 = 89399", "Divide: 49036 / 89399 = 49036/89399", "Add: 49036/89399 + (-4751) = -424685613/89399"], "final_answer": "-424685613/89399", "answer_type": "rational", "kind": "expression", "math_text": "(55309 + (-6273)) / (33878 + 55521) + (-4751)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55309, \"b\": -6273, \"c\": 33878, \"d\": 55521, \"e\": -4751}", "seed": "13437937805189739518", "semantic_fingerprint": "sha256:1b0e69aa58c1ac5f31e77795fccaccc1ca5b18df7be9a7189cc89da12f71b406", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006573", "prompt": "Find x: 17x = 19(x - 68573)", "solution_steps": ["Expand: 17x = 19x - 1302887", "Subtract 19x from both sides: -2x = -1302887", "Divide both sides by -2: x = 1302887/2"], "final_answer": "1302887/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x = 19(x - 68573)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 19, \"c\": 68573}", "seed": "17099370477268774647", "semantic_fingerprint": "sha256:7e4be8344f999e74529cca8aa9c58557c25d4499736b26d3f37dd0b97c3947b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006574", "prompt": "What is -23438 / (-59808)?", "solution_steps": ["Divide: -23438 / (-59808) = 11719/29904"], "final_answer": "11719/29904", "answer_type": "rational", "kind": "expression", "math_text": "-23438 / (-59808)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23438, \"b\": -59808}", "seed": "13138667260440818054", "semantic_fingerprint": "sha256:9c18ff03c4fbc4c48ff3894a96905bbd4a055912affee11e214ceb9ecb161ff6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006575", "prompt": "Solve the equation 25(x + 1942) + 82902 = -31(x - 36582) - 7887 for x.", "solution_steps": ["Expand: 25x + 48550 + 82902 = -31(x - 36582) - 7887", "Expand: 25x + 48550 + 82902 = -31x + 1134042 - 7887", "Combine constants: 25x + 131452 = -31x + 1134042 - 7887", "Combine constants: 25x + 131452 = -31x + 1126155", "Add 31x to both sides: 56x + 131452 = 1126155", "Subtract 131452 from both sides: 56x = 994703", "Divide both sides by 56: x = 994703/56"], "final_answer": "994703/56", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 1942) + 82902 = -31(x - 36582) - 7887", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1942, \"c\": 82902, \"d\": -31, \"e\": 36582, \"f\": 7887}", "seed": "9532990375844865838", "semantic_fingerprint": "sha256:6660bfc569404af75e50e8a20aba66ae47b87523fb5ba5d8dab5144ce3d7cf38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006576", "prompt": "Calculate: -6278 * (-1945 / (-1505))", "solution_steps": ["Divide: -1945 / (-1505) = 389/301", "Multiply: -6278 * (389/301) = -56794/7"], "final_answer": "-56794/7", "answer_type": "rational", "kind": "expression", "math_text": "-6278 * (-1945 / (-1505))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6278, \"b\": -1945, \"c\": -1505}", "seed": "2987622217978963616", "semantic_fingerprint": "sha256:ba37870455e687a9f20de157cefe5c7016caea323f3bf33900954850f1ae2b1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006577", "prompt": "Compute: (5265 + 2161) * (-32298)", "solution_steps": ["Add: 5265 + 2161 = 7426", "Multiply: 7426 * (-32298) = -239844948"], "final_answer": "-239844948", "answer_type": "integer", "kind": "expression", "math_text": "(5265 + 2161) * (-32298)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5265, \"b\": 2161, \"c\": -32298}", "seed": "10758845768825060865", "semantic_fingerprint": "sha256:f1b0761e9a144847b3ae9b3cc07261cda4f2bdc4df6b31da3c3b074ba840500d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006578", "prompt": "Compute: -8685 * (-81968) - (-57337 + 58817 * (-45079) + (-5864))", "solution_steps": ["Multiply: -8685 * (-81968) = 711892080", "Multiply: 58817 * (-45079) = -2651411543", "Add: -57337 + (-2651411543) = -2651468880", "Add: -2651468880 + (-5864) = -2651474744", "Subtract: 711892080 - (-2651474744) = 3363366824"], "final_answer": "3363366824", "answer_type": "integer", "kind": "expression", "math_text": "-8685 * (-81968) - (-57337 + 58817 * (-45079) + (-5864))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ (+ n (* n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8685, \"b\": -81968, \"c\": -57337, \"d\": 58817, \"e\": -45079, \"f\": -5864}", "seed": "14118404478726816896", "semantic_fingerprint": "sha256:fe93fba0900f781ce1a533bc21c9433918a789b2134dc4c39279ed213140e4c0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006579", "prompt": "Evaluate: 44139 / 8885", "solution_steps": ["Divide: 44139 / 8885 = 44139/8885"], "final_answer": "44139/8885", "answer_type": "rational", "kind": "expression", "math_text": "44139 / 8885", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44139, \"b\": 8885}", "seed": "10131161828914528789", "semantic_fingerprint": "sha256:46d492e25744e928ddf1749d85838cf2ddc75013652cefdd9749100e5afee61e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006580", "prompt": "Solve the equation x - 55381 = -18(x + 7239) for x.", "solution_steps": ["Expand: x - 55381 = -18x - 130302", "Add 18x to both sides: 19x - 55381 = -130302", "Add 55381 to both sides: 19x = -74921", "Divide both sides by 19: x = -74921/19"], "final_answer": "-74921/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 55381 = -18(x + 7239)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55381, \"b\": -18, \"c\": 7239}", "seed": "11853408285160017290", "semantic_fingerprint": "sha256:ea2a04483b5622cfac579f10aefddb0fb0e37a712709cc1af4258b779b3db1b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006581", "prompt": "Solve for x: 20(x - 46221) - 4340 = 16(x + 31302) + 15769", "solution_steps": ["Expand: 20x - 924420 - 4340 = 16(x + 31302) + 15769", "Expand: 20x - 924420 - 4340 = 16x + 500832 + 15769", "Combine constants: 20x - 928760 = 16x + 500832 + 15769", "Combine constants: 20x - 928760 = 16x + 516601", "Subtract 16x from both sides: 4x - 928760 = 516601", "Add 928760 to both sides: 4x = 1445361", "Divide both sides by 4: x = 1445361/4"], "final_answer": "1445361/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 46221) - 4340 = 16(x + 31302) + 15769", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 46221, \"c\": 4340, \"d\": 16, \"e\": 31302, \"f\": 15769}", "seed": "3284507652821347464", "semantic_fingerprint": "sha256:9220e6dd310e0530da70aa6c9857d80721ef66317becbed28757ccc2b797b7fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006582", "prompt": "Solve for x: 40x - 1625 = 31x", "solution_steps": ["Subtract 31x from both sides: 9x - 1625 = 0", "Add 1625 to both sides: 9x = 1625", "Divide both sides by 9: x = 1625/9"], "final_answer": "1625/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x - 1625 = 31x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1625, \"c\": 31}", "seed": "17123001204878720740", "semantic_fingerprint": "sha256:730076e81388a4f3bdedf20859fac73b0acb88d9e995bca7f902212bf92076d5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006583", "prompt": "Evaluate: (-6789 - 49201) * (-4384)", "solution_steps": ["Subtract: -6789 - 49201 = -55990", "Multiply: -55990 * (-4384) = 245460160"], "final_answer": "245460160", "answer_type": "integer", "kind": "expression", "math_text": "(-6789 - 49201) * (-4384)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6789, \"b\": 49201, \"c\": -4384}", "seed": "13416491189614223160", "semantic_fingerprint": "sha256:579154dbe375fec6107d5b67d343b58557dbc42a442f78a13aebdd31836015b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006584", "prompt": "Compute: 6912 + (-1169)", "solution_steps": ["Add: 6912 + (-1169) = 5743"], "final_answer": "5743", "answer_type": "integer", "kind": "expression", "math_text": "6912 + (-1169)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6912, \"b\": -1169}", "seed": "8519712442856682413", "semantic_fingerprint": "sha256:c1dffae6d577ebb4c6b76f1ee3d2f13f8637a4e841234d06a4fa12035f47baee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006585", "prompt": "Calculate: (-97111 - 65932 - 85259) / (5499 + (-8503))", "solution_steps": ["Subtract: -97111 - 65932 = -163043", "Subtract: -163043 - 85259 = -248302", "Add: 5499 + (-8503) = -3004", "Divide: -248302 / (-3004) = 124151/1502"], "final_answer": "124151/1502", "answer_type": "rational", "kind": "expression", "math_text": "(-97111 - 65932 - 85259) / (5499 + (-8503))", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -97111, \"b\": 65932, \"c\": 85259, \"d\": 5499, \"e\": -8503}", "seed": "16435894357204321230", "semantic_fingerprint": "sha256:e98376da449fb249ae7aa5d1550cb82df423e3c409b9d8f3b8fa9b12d12211c2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006586", "prompt": "Evaluate: 8046 - (7559 + 82939)", "solution_steps": ["Add: 7559 + 82939 = 90498", "Subtract: 8046 - 90498 = -82452"], "final_answer": "-82452", "answer_type": "integer", "kind": "expression", "math_text": "8046 - (7559 + 82939)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8046, \"b\": 7559, \"c\": 82939}", "seed": "17439003874842112835", "semantic_fingerprint": "sha256:71f8cf4f115ca1f8aa21566dd6c8ad6fb95ce21dd4348cc3308658137b53e0db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006587", "prompt": "Compute: 64364 - (-33520 - (-12172) * (67980 - (-2546)) + 9342)", "solution_steps": ["Subtract: 67980 - (-2546) = 70526", "Multiply: -12172 * 70526 = -858442472", "Subtract: -33520 - (-858442472) = 858408952", "Add: 858408952 + 9342 = 858418294", "Subtract: 64364 - 858418294 = -858353930"], "final_answer": "-858353930", "answer_type": "integer", "kind": "expression", "math_text": "64364 - (-33520 - (-12172) * (67980 - (-2546)) + 9342)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- n (* n (- n n))) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 64364, \"b\": -33520, \"c\": -12172, \"d\": 67980, \"e\": -2546, \"f\": 9342}", "seed": "14935878804023050368", "semantic_fingerprint": "sha256:c41fd531c8255d56341e64081cb69f794c041d517fab3abbb0ba0130f1905461", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006588", "prompt": "What is -2252 / 37100 - (36942 + (5318 - (-58513 + (-2782))))?", "solution_steps": ["Divide: -2252 / 37100 = -563/9275", "Add: -58513 + (-2782) = -61295", "Subtract: 5318 - (-61295) = 66613", "Add: 36942 + 66613 = 103555", "Subtract: -563/9275 - 103555 = -960473188/9275"], "final_answer": "-960473188/9275", "answer_type": "rational", "kind": "expression", "math_text": "-2252 / 37100 - (36942 + (5318 - (-58513 + (-2782))))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ n (- n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2252, \"b\": 37100, \"c\": 36942, \"d\": 5318, \"e\": -58513, \"f\": -2782}", "seed": "5963557488601608654", "semantic_fingerprint": "sha256:e967ff19f6f38ad7f83f61a1a58d02558c7cf18a965379c664e38894b957d983", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006589", "prompt": "What is 96335 * 97834 - 87201?", "solution_steps": ["Multiply: 96335 * 97834 = 9424838390", "Subtract: 9424838390 - 87201 = 9424751189"], "final_answer": "9424751189", "answer_type": "integer", "kind": "expression", "math_text": "96335 * 97834 - 87201", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96335, \"b\": 97834, \"c\": 87201}", "seed": "10074795138078580913", "semantic_fingerprint": "sha256:38361e4bbcad4aa46bd92e03b4841d46c506b3e102352c20e151d5c862a657ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006590", "prompt": "Evaluate: 66937 / (2683 * 3439)", "solution_steps": ["Multiply: 2683 * 3439 = 9226837", "Divide: 66937 / 9226837 = 3523/485623"], "final_answer": "3523/485623", "answer_type": "rational", "kind": "expression", "math_text": "66937 / (2683 * 3439)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66937, \"b\": 2683, \"c\": 3439}", "seed": "2778344453849261603", "semantic_fingerprint": "sha256:74f271601d5896c785edd8d42e85ca8450f7cde53028f2227003b8cb2d4220b2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006591", "prompt": "Solve the equation 26x + 6232 = x for x.", "solution_steps": ["Subtract x from both sides: 25x + 6232 = 0", "Subtract 6232 from both sides: 25x = -6232", "Divide both sides by 25: x = -6232/25"], "final_answer": "-6232/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 6232 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 6232}", "seed": "4439601015244406960", "semantic_fingerprint": "sha256:006f7b6afba9edf15a054cb6e58b04874542ee6b6d6a4d4d8a9860d9d24e827a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006592", "prompt": "Calculate: (-81289 + 6952) * (-8074)", "solution_steps": ["Add: -81289 + 6952 = -74337", "Multiply: -74337 * (-8074) = 600196938"], "final_answer": "600196938", "answer_type": "integer", "kind": "expression", "math_text": "(-81289 + 6952) * (-8074)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81289, \"b\": 6952, \"c\": -8074}", "seed": "7661206054492715619", "semantic_fingerprint": "sha256:39ffef75536138e29579ee55dc946592bbbcc735d34f5a59ba13da570ef43006", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006593", "prompt": "What is -80639 / (-82504) * 5764 * 8210?", "solution_steps": ["Divide: -80639 / (-82504) = 80639/82504", "Multiply: (80639/82504) * 5764 = 116200799/20626", "Multiply: (116200799/20626) * 8210 = 477004279895/10313"], "final_answer": "477004279895/10313", "answer_type": "rational", "kind": "expression", "math_text": "-80639 / (-82504) * 5764 * 8210", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -80639, \"b\": -82504, \"c\": 5764, \"d\": 8210}", "seed": "2733496973645604591", "semantic_fingerprint": "sha256:b5b810b90b79f37fe9f9eeb35d60458f7a648ca0522162876b9c02e18fca363c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006594", "prompt": "Evaluate: 6563 + (-71810) * 3039", "solution_steps": ["Multiply: -71810 * 3039 = -218230590", "Add: 6563 + (-218230590) = -218224027"], "final_answer": "-218224027", "answer_type": "integer", "kind": "expression", "math_text": "6563 + (-71810) * 3039", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6563, \"b\": -71810, \"c\": 3039}", "seed": "17255583339149940363", "semantic_fingerprint": "sha256:3fbbce4c775fff579649fb1608c7113645da1ea17d9f28e3e82ed8859166ba10", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006595", "prompt": "Calculate: -3622 + (-32519 + (-15248) + (-51741))", "solution_steps": ["Add: -32519 + (-15248) = -47767", "Add: -47767 + (-51741) = -99508", "Add: -3622 + (-99508) = -103130"], "final_answer": "-103130", "answer_type": "integer", "kind": "expression", "math_text": "-3622 + (-32519 + (-15248) + (-51741))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3622, \"b\": -32519, \"c\": -15248, \"d\": -51741}", "seed": "191159628196302922", "semantic_fingerprint": "sha256:e8e4a605772c56e30736e77768ad1b2040fa075f574e2148ffc517e2b0272520", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006596", "prompt": "What is 9299 * 1633?", "solution_steps": ["Multiply: 9299 * 1633 = 15185267"], "final_answer": "15185267", "answer_type": "integer", "kind": "expression", "math_text": "9299 * 1633", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9299, \"b\": 1633}", "seed": "229492303357917905", "semantic_fingerprint": "sha256:7de6c2f70d7a9278134da4ad7914d2a3a8470d4e2b44066f31d9415dccf7bfa5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006597", "prompt": "Find x: 17(x - 4605) = 28(x + 28273) + 8680", "solution_steps": ["Expand: 17x - 78285 = 28(x + 28273) + 8680", "Expand: 17x - 78285 = 28x + 791644 + 8680", "Combine constants: 17x - 78285 = 28x + 800324", "Subtract 28x from both sides: -11x - 78285 = 800324", "Add 78285 to both sides: -11x = 878609", "Divide both sides by -11: x = -878609/11"], "final_answer": "-878609/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 4605) = 28(x + 28273) + 8680", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4605, \"c\": 28, \"d\": 28273, \"e\": 8680}", "seed": "1168739312716645134", "semantic_fingerprint": "sha256:41272c9da46e1043349c5adf133a8423a3dc4d648c0e61cfbfa26150629d37fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006598", "prompt": "Calculate: 2734 * (-9893) / (-9670 / 80575)", "solution_steps": ["Multiply: 2734 * (-9893) = -27047462", "Divide: -9670 / 80575 = -1934/16115", "Divide: -27047462 / (-1934/16115) = 217934925065/967"], "final_answer": "217934925065/967", "answer_type": "rational", "kind": "expression", "math_text": "2734 * (-9893) / (-9670 / 80575)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2734, \"b\": -9893, \"c\": -9670, \"d\": 80575}", "seed": "10039746147150512368", "semantic_fingerprint": "sha256:273992d33397f1c679265f236b4c87483a75fd9401d59d636301bc11508e8c75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006599", "prompt": "Evaluate: 10198 * 9038 * (6260 - (-2560))", "solution_steps": ["Multiply: 10198 * 9038 = 92169524", "Subtract: 6260 - (-2560) = 8820", "Multiply: 92169524 * 8820 = 812935201680"], "final_answer": "812935201680", "answer_type": "integer", "kind": "expression", "math_text": "10198 * 9038 * (6260 - (-2560))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10198, \"b\": 9038, \"c\": 6260, \"d\": -2560}", "seed": "8793063138720868510", "semantic_fingerprint": "sha256:976a8484264ae0715174224bd1025e6e95b2e7498ce2677bfbc518d27c908f0c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006600", "prompt": "Solve for x: x + 28865 = 13x + 29369", "solution_steps": ["Subtract 13x from both sides: -12x + 28865 = 29369", "Subtract 28865 from both sides: -12x = 504", "Divide both sides by -12: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 28865 = 13x + 29369", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28865, \"b\": 13, \"d\": 29369, \"x\": -42}", "seed": "14063566034312011408", "semantic_fingerprint": "sha256:382904dddb04f13d3b8d8c1c12e52e6d521283d83e3f4231c4d36468c7483524", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006601", "prompt": "What value of x satisfies 16(x - 9906) + 3055 = 29(x - 3682) - 48234?", "solution_steps": ["Expand: 16x - 158496 + 3055 = 29(x - 3682) - 48234", "Expand: 16x - 158496 + 3055 = 29x - 106778 - 48234", "Combine constants: 16x - 155441 = 29x - 106778 - 48234", "Combine constants: 16x - 155441 = 29x - 155012", "Subtract 29x from both sides: -13x - 155441 = -155012", "Add 155441 to both sides: -13x = 429", "Divide both sides by -13: x = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 9906) + 3055 = 29(x - 3682) - 48234", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 9906, \"c\": 3055, \"d\": 29, \"e\": 3682, \"g\": -48234, \"x\": -33}", "seed": "12205717864847134301", "semantic_fingerprint": "sha256:65c9eaf1f82216e2018471ca59aa0df68fa0366650a0a0829b6f605630b17f6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006602", "prompt": "Calculate: -4076 - 8574 + (-1609) - 54605", "solution_steps": ["Subtract: -4076 - 8574 = -12650", "Add: -12650 + (-1609) = -14259", "Subtract: -14259 - 54605 = -68864"], "final_answer": "-68864", "answer_type": "integer", "kind": "expression", "math_text": "-4076 - 8574 + (-1609) - 54605", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4076, \"b\": 8574, \"c\": -1609, \"d\": 54605}", "seed": "6112058504599257947", "semantic_fingerprint": "sha256:6b8710ef6260f76bdc6e3e34061e145b472effda6697fb1f401de229e15f1920", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006603", "prompt": "Find x: 15x + 88044 = 28(x + 2570) + 17150", "solution_steps": ["Expand: 15x + 88044 = 28x + 71960 + 17150", "Combine constants: 15x + 88044 = 28x + 89110", "Subtract 28x from both sides: -13x + 88044 = 89110", "Subtract 88044 from both sides: -13x = 1066", "Divide both sides by -13: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x + 88044 = 28(x + 2570) + 17150", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 88044, \"c\": 28, \"d\": 2570, \"f\": 17150, \"x\": -82}", "seed": "11321506488635500418", "semantic_fingerprint": "sha256:bf6cbffcc199617972f5fc37a7400b6a37770882a7c15c1899229afb3c13fda1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006604", "prompt": "What value of x satisfies 20x = 2480?", "solution_steps": ["Divide both sides by 20: x = 124"], "final_answer": "124", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 2480", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 2480, \"x\": 124}", "seed": "14058573019211891044", "semantic_fingerprint": "sha256:27497f5424d55c1ff4ea1dcb8d44395f74e7c18770c7908d412cc83791b5cf32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006605", "prompt": "Solve for x: 40(x - 85065) = 20(x - 1402)", "solution_steps": ["Expand: 40x - 3402600 = 20(x - 1402)", "Expand: 40x - 3402600 = 20x - 28040", "Subtract 20x from both sides: 20x - 3402600 = -28040", "Add 3402600 to both sides: 20x = 3374560", "Divide both sides by 20: x = 168728"], "final_answer": "168728", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 85065) = 20(x - 1402)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 85065, \"c\": 20, \"d\": 1402}", "seed": "9191349060174350764", "semantic_fingerprint": "sha256:7ff46435a473e5e45b445c1603da0d26f1ff0e8350e5eb95905c36cfbefacf89", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006606", "prompt": "Find x: 29(x - 1053) = 14(x - 3898) + 2770", "solution_steps": ["Expand: 29x - 30537 = 14(x - 3898) + 2770", "Expand: 29x - 30537 = 14x - 54572 + 2770", "Combine constants: 29x - 30537 = 14x - 51802", "Subtract 14x from both sides: 15x - 30537 = -51802", "Add 30537 to both sides: 15x = -21265", "Divide both sides by 15: x = -4253/3"], "final_answer": "-4253/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 1053) = 14(x - 3898) + 2770", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1053, \"c\": 14, \"d\": 3898, \"e\": 2770}", "seed": "4879365636707738565", "semantic_fingerprint": "sha256:8c652a36e42a590c160e9cceb6b8bc244b403185d2b4cbe2023950af5aa5fd75", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006607", "prompt": "Evaluate: 75192 + (-68706) + (-3147)", "solution_steps": ["Add: 75192 + (-68706) = 6486", "Add: 6486 + (-3147) = 3339"], "final_answer": "3339", "answer_type": "integer", "kind": "expression", "math_text": "75192 + (-68706) + (-3147)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75192, \"b\": -68706, \"c\": -3147}", "seed": "8946097128343029287", "semantic_fingerprint": "sha256:0e188e715032b31ad3e6cefef0c39a24cc6912d1010310cbd60fae21767b6c5a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006608", "prompt": "Evaluate: 49276 / 28360", "solution_steps": ["Divide: 49276 / 28360 = 12319/7090"], "final_answer": "12319/7090", "answer_type": "rational", "kind": "expression", "math_text": "49276 / 28360", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49276, \"b\": 28360}", "seed": "9691213225016397295", "semantic_fingerprint": "sha256:edad723e7ce4058e593b487dbb1df8c955d547ff083f94038f88586a1c6b2281", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006609", "prompt": "Find x: 25(x + 92931) - 87749 = 13x", "solution_steps": ["Expand: 25x + 2323275 - 87749 = 13x", "Combine constants: 25x + 2235526 = 13x", "Subtract 13x from both sides: 12x + 2235526 = 0", "Subtract 2235526 from both sides: 12x = -2235526", "Divide both sides by 12: x = -1117763/6"], "final_answer": "-1117763/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 92931) - 87749 = 13x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 92931, \"c\": 87749, \"d\": 13}", "seed": "11886664836082825885", "semantic_fingerprint": "sha256:c522622e7c4a8171a1c1799165c1bc40f12c5952e33632e31a5d04ffdaf3265d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006610", "prompt": "Compute: 54882 / (-77902 + (-4226))", "solution_steps": ["Add: -77902 + (-4226) = -82128", "Divide: 54882 / (-82128) = -9147/13688"], "final_answer": "-9147/13688", "answer_type": "rational", "kind": "expression", "math_text": "54882 / (-77902 + (-4226))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54882, \"b\": -77902, \"c\": -4226}", "seed": "1825990937629603584", "semantic_fingerprint": "sha256:176b3275dd108d1cc6828acb3d0a73b899268cf5263efae54250201d339ca763", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006611", "prompt": "Calculate: -1206 * 6952 / 68813 + 9699", "solution_steps": ["Multiply: -1206 * 6952 = -8384112", "Divide: -8384112 / 68813 = -8384112/68813", "Add: -8384112/68813 + 9699 = 659033175/68813"], "final_answer": "659033175/68813", "answer_type": "rational", "kind": "expression", "math_text": "-1206 * 6952 / 68813 + 9699", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1206, \"b\": 6952, \"c\": 68813, \"d\": 9699}", "seed": "1450389075038714607", "semantic_fingerprint": "sha256:bbde7ef9dbaeeec4424f9e8dd745ebf4e8158745af0f7c24979bbc4f63f72f93", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006612", "prompt": "Calculate: -8139 * (2540 + 11166 + (-10331)) / (2195 - 38627)", "solution_steps": ["Add: 2540 + 11166 = 13706", "Add: 13706 + (-10331) = 3375", "Multiply: -8139 * 3375 = -27469125", "Subtract: 2195 - 38627 = -36432", "Divide: -27469125 / (-36432) = 3052125/4048"], "final_answer": "3052125/4048", "answer_type": "rational", "kind": "expression", "math_text": "-8139 * (2540 + 11166 + (-10331)) / (2195 - 38627)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8139, \"b\": 2540, \"c\": 11166, \"d\": -10331, \"e\": 2195, \"f\": 38627}", "seed": "4103024369493000271", "semantic_fingerprint": "sha256:892ad99a3ea8dc2b111f0efcb99cc546953743c1085663080613487ee1dc80cc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006613", "prompt": "Calculate: -6285 * ((40573 - (4983 - 10273)) / (-41242 - 54070))", "solution_steps": ["Subtract: 4983 - 10273 = -5290", "Subtract: 40573 - (-5290) = 45863", "Subtract: -41242 - 54070 = -95312", "Divide: 45863 / (-95312) = -45863/95312", "Multiply: -6285 * (-45863/95312) = 288248955/95312"], "final_answer": "288248955/95312", "answer_type": "rational", "kind": "expression", "math_text": "-6285 * ((40573 - (4983 - 10273)) / (-41242 - 54070))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n (- n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6285, \"b\": 40573, \"c\": 4983, \"d\": 10273, \"e\": -41242, \"f\": 54070}", "seed": "7972620637830292088", "semantic_fingerprint": "sha256:ec7b657107084270bdece379fde197116ff4ef3461e3b3343550bbfd29cbfb2b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006614", "prompt": "Compute: -93909 + (-2031 - (-3831))", "solution_steps": ["Subtract: -2031 - (-3831) = 1800", "Add: -93909 + 1800 = -92109"], "final_answer": "-92109", "answer_type": "integer", "kind": "expression", "math_text": "-93909 + (-2031 - (-3831))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -93909, \"b\": -2031, \"c\": -3831}", "seed": "7511932762962918404", "semantic_fingerprint": "sha256:fcf1242470a1a51965554aed885647cc071665dc9dd078645b49c6ef6167673f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006615", "prompt": "Compute: 4429 * (-6198 * (-6373))", "solution_steps": ["Multiply: -6198 * (-6373) = 39499854", "Multiply: 4429 * 39499854 = 174944853366"], "final_answer": "174944853366", "answer_type": "integer", "kind": "expression", "math_text": "4429 * (-6198 * (-6373))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4429, \"b\": -6198, \"c\": -6373}", "seed": "5357385487277855694", "semantic_fingerprint": "sha256:be4469969cb71c628a99209aa71e70c5df1039a43675b4072b0a2a9ff198744c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006616", "prompt": "Calculate: (-3852 + 4068 + (-86980)) / (-78900)", "solution_steps": ["Add: -3852 + 4068 = 216", "Add: 216 + (-86980) = -86764", "Divide: -86764 / (-78900) = 21691/19725"], "final_answer": "21691/19725", "answer_type": "rational", "kind": "expression", "math_text": "(-3852 + 4068 + (-86980)) / (-78900)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3852, \"b\": 4068, \"c\": -86980, \"d\": -78900}", "seed": "13056744371369676727", "semantic_fingerprint": "sha256:9cdab0d59634f4927506f910236875e3966f24d1ca378bcb5dece738d353d3b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006617", "prompt": "Compute: 9548 / (-96680) * 83939", "solution_steps": ["Divide: 9548 / (-96680) = -2387/24170", "Multiply: (-2387/24170) * 83939 = -200362393/24170"], "final_answer": "-200362393/24170", "answer_type": "rational", "kind": "expression", "math_text": "9548 / (-96680) * 83939", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9548, \"b\": -96680, \"c\": 83939}", "seed": "6327292791859581142", "semantic_fingerprint": "sha256:52ebf6670079c88e9bfd2053b34475f79361ac135d49ad00aa9c609124039e3d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006618", "prompt": "Evaluate: 1047 / (-1557) + (-85593) + (-9567 + (-9594))", "solution_steps": ["Divide: 1047 / (-1557) = -349/519", "Add: -349/519 + (-85593) = -44423116/519", "Add: -9567 + (-9594) = -19161", "Add: -44423116/519 + (-19161) = -54367675/519"], "final_answer": "-54367675/519", "answer_type": "rational", "kind": "expression", "math_text": "1047 / (-1557) + (-85593) + (-9567 + (-9594))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1047, \"b\": -1557, \"c\": -85593, \"d\": -9567, \"e\": -9594}", "seed": "11748952294104186615", "semantic_fingerprint": "sha256:89d8c8850ba644001109c8ecc0fd419cca73857258431ff47fa04583fed1ffed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006619", "prompt": "Calculate: 9984 / (-70189 + 49231)", "solution_steps": ["Add: -70189 + 49231 = -20958", "Divide: 9984 / (-20958) = -1664/3493"], "final_answer": "-1664/3493", "answer_type": "rational", "kind": "expression", "math_text": "9984 / (-70189 + 49231)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9984, \"b\": -70189, \"c\": 49231}", "seed": "16130530280585455830", "semantic_fingerprint": "sha256:4172be835f898e1edccf10a1d210316fbc8bcf0a18720d6fb4a29436c7d3bb3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006620", "prompt": "What value of x satisfies -24x = x + 1425?", "solution_steps": ["Subtract x from both sides: -25x = 1425", "Divide both sides by -25: x = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x = x + 1425", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"c\": 1425, \"x\": -57}", "seed": "3683778913937920455", "semantic_fingerprint": "sha256:c7a76b157038d5221fd32ea08e962fe10b3769bf9147191ea835a615a389742b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006621", "prompt": "Solve the equation 24(x + 2234) - 4175 = -25x + 52920 for x.", "solution_steps": ["Expand: 24x + 53616 - 4175 = -25x + 52920", "Combine constants: 24x + 49441 = -25x + 52920", "Add 25x to both sides: 49x + 49441 = 52920", "Subtract 49441 from both sides: 49x = 3479", "Divide both sides by 49: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x + 2234) - 4175 = -25x + 52920", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2234, \"c\": 4175, \"d\": -25, \"f\": 52920, \"x\": 71}", "seed": "10624873894826815324", "semantic_fingerprint": "sha256:b08be1245267cad3f04b83f6b6308f0fa455fe521fc0207cbb5e2632243eda5e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006622", "prompt": "Compute: 7027 + (-5791)", "solution_steps": ["Add: 7027 + (-5791) = 1236"], "final_answer": "1236", "answer_type": "integer", "kind": "expression", "math_text": "7027 + (-5791)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7027, \"b\": -5791}", "seed": "14999648957164824342", "semantic_fingerprint": "sha256:04ae466aa58007c025594f0e146239c8c262992469f314c17bb3a2a92b771403", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006623", "prompt": "Compute: 45401 * (33386 - (-6214))", "solution_steps": ["Subtract: 33386 - (-6214) = 39600", "Multiply: 45401 * 39600 = 1797879600"], "final_answer": "1797879600", "answer_type": "integer", "kind": "expression", "math_text": "45401 * (33386 - (-6214))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45401, \"b\": 33386, \"c\": -6214}", "seed": "10772208739369501106", "semantic_fingerprint": "sha256:99a8105ea218a1e8de184a64f06ee00414b43a7847e28ca91c7317281072c31f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006624", "prompt": "Evaluate: 9901 - (8624 - 7575)", "solution_steps": ["Subtract: 8624 - 7575 = 1049", "Subtract: 9901 - 1049 = 8852"], "final_answer": "8852", "answer_type": "integer", "kind": "expression", "math_text": "9901 - (8624 - 7575)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9901, \"b\": 8624, \"c\": 7575}", "seed": "11613579769579492860", "semantic_fingerprint": "sha256:881ddf8f67fb326c65adbacec851621456662890936d2eed7d852d9b486cec99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006625", "prompt": "Evaluate: 98770 / 26132 * (97596 + (-97706))", "solution_steps": ["Divide: 98770 / 26132 = 49385/13066", "Add: 97596 + (-97706) = -110", "Multiply: (49385/13066) * (-110) = -2716175/6533"], "final_answer": "-2716175/6533", "answer_type": "rational", "kind": "expression", "math_text": "98770 / 26132 * (97596 + (-97706))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98770, \"b\": 26132, \"c\": 97596, \"d\": -97706}", "seed": "657124504000755496", "semantic_fingerprint": "sha256:89b13a03c60db496958460e967a3f839037caf996ef0a7be165a145cdb0bc29a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006626", "prompt": "Find x: 14(x - 4825) = 39x", "solution_steps": ["Expand: 14x - 67550 = 39x", "Subtract 39x from both sides: -25x - 67550 = 0", "Add 67550 to both sides: -25x = 67550", "Divide both sides by -25: x = -2702"], "final_answer": "-2702", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 4825) = 39x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4825, \"c\": 39}", "seed": "10155073412101807265", "semantic_fingerprint": "sha256:8a7f9f2977934735229b8d7004f4c570ae567095252af092a5ecc7d3b7a8bced", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006627", "prompt": "Calculate: -91103 + (-65602 + (-23568)) / 13554", "solution_steps": ["Add: -65602 + (-23568) = -89170", "Divide: -89170 / 13554 = -44585/6777", "Add: -91103 + (-44585/6777) = -617449616/6777"], "final_answer": "-617449616/6777", "answer_type": "rational", "kind": "expression", "math_text": "-91103 + (-65602 + (-23568)) / 13554", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -91103, \"b\": -65602, \"c\": -23568, \"d\": 13554}", "seed": "1873466751205877936", "semantic_fingerprint": "sha256:60a5baa4d34a131d28bc7e03988b2170087800b32c392c8602bc1e0db99b0254", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006628", "prompt": "Solve for x: 27x + 4386 = 17(x - 1835) - 1118", "solution_steps": ["Expand: 27x + 4386 = 17x - 31195 - 1118", "Combine constants: 27x + 4386 = 17x - 32313", "Subtract 17x from both sides: 10x + 4386 = -32313", "Subtract 4386 from both sides: 10x = -36699", "Divide both sides by 10: x = -36699/10"], "final_answer": "-36699/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 4386 = 17(x - 1835) - 1118", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 4386, \"c\": 17, \"d\": 1835, \"e\": 1118}", "seed": "1422608394559288662", "semantic_fingerprint": "sha256:8f93cd31b7561e4366b7c9334f27e505c58a9b473b61cce9631819bc0ad634ea", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006629", "prompt": "Solve for x: 39x + 8315 = 22x + 2523", "solution_steps": ["Subtract 22x from both sides: 17x + 8315 = 2523", "Subtract 8315 from both sides: 17x = -5792", "Divide both sides by 17: x = -5792/17"], "final_answer": "-5792/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 8315 = 22x + 2523", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 8315, \"c\": 22, \"d\": 2523}", "seed": "6009436049872875364", "semantic_fingerprint": "sha256:4129cf23195436b7a47b7f42801e16249320ab2c6ecfae2938c85549fea02404", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006630", "prompt": "Find x: x + 60008 = 14x + 57941", "solution_steps": ["Subtract 14x from both sides: -13x + 60008 = 57941", "Subtract 60008 from both sides: -13x = -2067", "Divide both sides by -13: x = 159"], "final_answer": "159", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60008 = 14x + 57941", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60008, \"b\": 14, \"d\": 57941, \"x\": 159}", "seed": "3407295963765916697", "semantic_fingerprint": "sha256:869dbd88a19574b3dbe450c104f2d7c41357cde0143f531f42be9370759bf1b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006631", "prompt": "Calculate: -84060 / (8429 - (-7708))", "solution_steps": ["Subtract: 8429 - (-7708) = 16137", "Divide: -84060 / 16137 = -9340/1793"], "final_answer": "-9340/1793", "answer_type": "rational", "kind": "expression", "math_text": "-84060 / (8429 - (-7708))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84060, \"b\": 8429, \"c\": -7708}", "seed": "4840925413330079221", "semantic_fingerprint": "sha256:8de8fd533813b1287407438270be33e9300b39106ff9624181f7281562954724", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006632", "prompt": "Calculate: (-9182 + (31829 - (-43100))) * (-62155) + (-9592 + (-38381))", "solution_steps": ["Subtract: 31829 - (-43100) = 74929", "Add: -9182 + 74929 = 65747", "Multiply: 65747 * (-62155) = -4086504785", "Add: -9592 + (-38381) = -47973", "Add: -4086504785 + (-47973) = -4086552758"], "final_answer": "-4086552758", "answer_type": "integer", "kind": "expression", "math_text": "(-9182 + (31829 - (-43100))) * (-62155) + (-9592 + (-38381))", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9182, \"b\": 31829, \"c\": -43100, \"d\": -62155, \"e\": -9592, \"f\": -38381}", "seed": "6039649020226776665", "semantic_fingerprint": "sha256:da4501279c04cacaa35e087f6d0665c38ca7ed041868d97eb3704245c5613b73", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006633", "prompt": "Solve the equation x + 64697 = -1372 for x.", "solution_steps": ["Subtract 64697 from both sides: x = -66069"], "final_answer": "-66069", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 64697 = -1372", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64697, \"b\": -1372}", "seed": "10804920643007996256", "semantic_fingerprint": "sha256:2de9f7c20d068969425088787cfb5f66499899f8e2338f5652b74a44f7df194c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006634", "prompt": "Evaluate: 5370 / (46461 + 3104)", "solution_steps": ["Add: 46461 + 3104 = 49565", "Divide: 5370 / 49565 = 1074/9913"], "final_answer": "1074/9913", "answer_type": "rational", "kind": "expression", "math_text": "5370 / (46461 + 3104)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5370, \"b\": 46461, \"c\": 3104}", "seed": "7368327736490626430", "semantic_fingerprint": "sha256:f9e048a480f50afc4af6ebef758d331ae246baf78a94ad8b96ac91417cbad41d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006635", "prompt": "Find x: x = -15(x + 1140) - 70418", "solution_steps": ["Expand: x = -15x - 17100 - 70418", "Combine constants: x = -15x - 87518", "Add 15x to both sides: 16x = -87518", "Divide both sides by 16: x = -43759/8"], "final_answer": "-43759/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -15(x + 1140) - 70418", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 1140, \"c\": 70418}", "seed": "15606463004421977378", "semantic_fingerprint": "sha256:7961fcd04e0bd455f2a54346332ca29f0894fee59cd584f58d4eb668d04f4635", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006636", "prompt": "Calculate: 3286 * (-3407) * (-38720)", "solution_steps": ["Multiply: 3286 * (-3407) = -11195402", "Multiply: -11195402 * (-38720) = 433485965440"], "final_answer": "433485965440", "answer_type": "integer", "kind": "expression", "math_text": "3286 * (-3407) * (-38720)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3286, \"b\": -3407, \"c\": -38720}", "seed": "10306644708006283794", "semantic_fingerprint": "sha256:251b9c7e44f138cefe236a68dd4cdd4e48c2724efb940d5ce221e2ce662e50c9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006637", "prompt": "What is 5164 * 8831 * (-5188)?", "solution_steps": ["Multiply: 5164 * 8831 = 45603284", "Multiply: 45603284 * (-5188) = -236589837392"], "final_answer": "-236589837392", "answer_type": "integer", "kind": "expression", "math_text": "5164 * 8831 * (-5188)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5164, \"b\": 8831, \"c\": -5188}", "seed": "461775907601604877", "semantic_fingerprint": "sha256:6c0549ce08acbce256155fb38a58bde257e4d1df81a238fd0b5519d3f59b6aad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006638", "prompt": "Calculate: -58446 / (-5916)", "solution_steps": ["Divide: -58446 / (-5916) = 573/58"], "final_answer": "573/58", "answer_type": "rational", "kind": "expression", "math_text": "-58446 / (-5916)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58446, \"b\": -5916}", "seed": "17248375814023706369", "semantic_fingerprint": "sha256:aa913c7caabd878e55234528126c0817cc15edc65366baee114cfb8602d6b448", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006639", "prompt": "Calculate: -53219 * (41674 - 5907) - 4231", "solution_steps": ["Subtract: 41674 - 5907 = 35767", "Multiply: -53219 * 35767 = -1903483973", "Subtract: -1903483973 - 4231 = -1903488204"], "final_answer": "-1903488204", "answer_type": "integer", "kind": "expression", "math_text": "-53219 * (41674 - 5907) - 4231", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -53219, \"b\": 41674, \"c\": 5907, \"d\": 4231}", "seed": "14566405839147972388", "semantic_fingerprint": "sha256:7b92c966c2aea2e47782a9c71d2e21864b60b1e8279af01a93327725b5da4e82", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006640", "prompt": "Evaluate: 69347 + (-92298 - (-9692)) - 75219", "solution_steps": ["Subtract: -92298 - (-9692) = -82606", "Add: 69347 + (-82606) = -13259", "Subtract: -13259 - 75219 = -88478"], "final_answer": "-88478", "answer_type": "integer", "kind": "expression", "math_text": "69347 + (-92298 - (-9692)) - 75219", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 69347, \"b\": -92298, \"c\": -9692, \"d\": 75219}", "seed": "5860990981269461348", "semantic_fingerprint": "sha256:6ab64231978877410bc39000cb2237f8b34f98dbbdffd5997f635568e0002452", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006641", "prompt": "Compute: 24360 * 80616", "solution_steps": ["Multiply: 24360 * 80616 = 1963805760"], "final_answer": "1963805760", "answer_type": "integer", "kind": "expression", "math_text": "24360 * 80616", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 24360, \"b\": 80616}", "seed": "17177603461119055901", "semantic_fingerprint": "sha256:418981cd71ff30769bb3e62583ddf316eefb1d21970d786c34a5b41c9fb31e7c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006642", "prompt": "Solve for x: -26x + 58546 = 34(x + 1375) + 20556", "solution_steps": ["Expand: -26x + 58546 = 34x + 46750 + 20556", "Combine constants: -26x + 58546 = 34x + 67306", "Subtract 34x from both sides: -60x + 58546 = 67306", "Subtract 58546 from both sides: -60x = 8760", "Divide both sides by -60: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 58546 = 34(x + 1375) + 20556", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 58546, \"c\": 34, \"d\": 1375, \"f\": 20556, \"x\": -146}", "seed": "18133955189004412327", "semantic_fingerprint": "sha256:bcc18e88bf8e5a33cb00664b4e8f21913dda764b5bac97819f5a68ff49ffd7b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006643", "prompt": "Calculate: -97183 * (-8307) - (-4727) / (-1759 + 5759) * 7448", "solution_steps": ["Multiply: -97183 * (-8307) = 807299181", "Add: -1759 + 5759 = 4000", "Divide: -4727 / 4000 = -4727/4000", "Multiply: (-4727/4000) * 7448 = -4400837/500", "Subtract: 807299181 - (-4400837/500) = 403653991337/500"], "final_answer": "403653991337/500", "answer_type": "rational", "kind": "expression", "math_text": "-97183 * (-8307) - (-4727) / (-1759 + 5759) * 7448", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (/ n (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -97183, \"b\": -8307, \"c\": -4727, \"d\": -1759, \"e\": 5759, \"f\": 7448}", "seed": "15543821919011541613", "semantic_fingerprint": "sha256:84b8b5a01484fadd998321048bbc8e983d0aefa78dce007f70420e1f9fe48074", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006644", "prompt": "Evaluate: 52947 / 4337 - (-73104)", "solution_steps": ["Divide: 52947 / 4337 = 52947/4337", "Subtract: 52947/4337 - (-73104) = 317104995/4337"], "final_answer": "317104995/4337", "answer_type": "rational", "kind": "expression", "math_text": "52947 / 4337 - (-73104)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52947, \"b\": 4337, \"c\": -73104}", "seed": "16219350814106881408", "semantic_fingerprint": "sha256:3a790fb05da933b2c0b9133391d952b8400029ea9397d20a816cb3c7c8a14358", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006645", "prompt": "Calculate: 21448 * (6044 / (-72835))", "solution_steps": ["Divide: 6044 / (-72835) = -6044/72835", "Multiply: 21448 * (-6044/72835) = -18518816/10405"], "final_answer": "-18518816/10405", "answer_type": "rational", "kind": "expression", "math_text": "21448 * (6044 / (-72835))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21448, \"b\": 6044, \"c\": -72835}", "seed": "1252359151939130600", "semantic_fingerprint": "sha256:92c55141888e49fe08cde57c174058dfad707518badda53428e8b996428aa8cd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006646", "prompt": "Compute: 2618 + (-8356) / (-11036)", "solution_steps": ["Divide: -8356 / (-11036) = 2089/2759", "Add: 2618 + 2089/2759 = 7225151/2759"], "final_answer": "7225151/2759", "answer_type": "rational", "kind": "expression", "math_text": "2618 + (-8356) / (-11036)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2618, \"b\": -8356, \"c\": -11036}", "seed": "11391813869755052201", "semantic_fingerprint": "sha256:5136bdeabcd216e39a44618b4a927da15e74a31b771e2ac1a7ee6e7489204cdf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006647", "prompt": "What is 5821 / (-1574) + (-9593 - (-87714))?", "solution_steps": ["Divide: 5821 / (-1574) = -5821/1574", "Subtract: -9593 - (-87714) = 78121", "Add: -5821/1574 + 78121 = 122956633/1574"], "final_answer": "122956633/1574", "answer_type": "rational", "kind": "expression", "math_text": "5821 / (-1574) + (-9593 - (-87714))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5821, \"b\": -1574, \"c\": -9593, \"d\": -87714}", "seed": "16627634973510356132", "semantic_fingerprint": "sha256:bd11e6b7b9a79ea54da136e135fc3b27f2e1513e566b5a12b928f47cf8ec4824", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006648", "prompt": "Solve for x: -15(x + 8168) + 3480 = x", "solution_steps": ["Expand: -15x - 122520 + 3480 = x", "Combine constants: -15x - 119040 = x", "Subtract x from both sides: -16x - 119040 = 0", "Add 119040 to both sides: -16x = 119040", "Divide both sides by -16: x = -7440"], "final_answer": "-7440", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x + 8168) + 3480 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 8168, \"c\": 3480}", "seed": "12219681708881304296", "semantic_fingerprint": "sha256:79cd88b06a17f864f006055c19a0a6ad25609a9ed89d775d0e396c2d1a0a1b5c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006649", "prompt": "Compute: -4241 + 9618 + (-6308)", "solution_steps": ["Add: -4241 + 9618 = 5377", "Add: 5377 + (-6308) = -931"], "final_answer": "-931", "answer_type": "integer", "kind": "expression", "math_text": "-4241 + 9618 + (-6308)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4241, \"b\": 9618, \"c\": -6308}", "seed": "9583610974922620737", "semantic_fingerprint": "sha256:609d774471e1ed8caf73d72c11da0c0106a331308e386f62fd53b6e2d7d1d911", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006650", "prompt": "Calculate: 37916 + 67859 / (-35100) * (1891 - (-8786))", "solution_steps": ["Divide: 67859 / (-35100) = -67859/35100", "Subtract: 1891 - (-8786) = 10677", "Multiply: (-67859/35100) * 10677 = -241510181/11700", "Add: 37916 + (-241510181/11700) = 202107019/11700"], "final_answer": "202107019/11700", "answer_type": "rational", "kind": "expression", "math_text": "37916 + 67859 / (-35100) * (1891 - (-8786))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37916, \"b\": 67859, \"c\": -35100, \"d\": 1891, \"e\": -8786}", "seed": "3896683733516294840", "semantic_fingerprint": "sha256:830cc34f2db0ccf1d2c2d4483d62a0548bd6cdfaca30916f4e34d3dd38b3188e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006651", "prompt": "Solve for x: 39(x - 5210) = x", "solution_steps": ["Expand: 39x - 203190 = x", "Subtract x from both sides: 38x - 203190 = 0", "Add 203190 to both sides: 38x = 203190", "Divide both sides by 38: x = 101595/19"], "final_answer": "101595/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 5210) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5210}", "seed": "10756892637561233130", "semantic_fingerprint": "sha256:9813b8eb298200a9f1598d411cd9e146193193b2ba707ae707454d4942ea7f90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006652", "prompt": "Evaluate: -5457 * (8492 + (-9523))", "solution_steps": ["Add: 8492 + (-9523) = -1031", "Multiply: -5457 * (-1031) = 5626167"], "final_answer": "5626167", "answer_type": "integer", "kind": "expression", "math_text": "-5457 * (8492 + (-9523))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5457, \"b\": 8492, \"c\": -9523}", "seed": "8082189694108693303", "semantic_fingerprint": "sha256:bb4d6b2aeeaf2200dccbd1d5af477307092586eedfa3d7d06a86ce7460cd3f38", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006653", "prompt": "What value of x satisfies 18x - 14837 = -18077?", "solution_steps": ["Add 14837 to both sides: 18x = -3240", "Divide both sides by 18: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x - 14837 = -18077", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 14837, \"d\": -18077, \"x\": -180}", "seed": "9992246450283230275", "semantic_fingerprint": "sha256:f4d539374a77933b64fed959c4845ff1671d4269df3b2380204a0389b0c55425", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006654", "prompt": "Evaluate: -5617 * (-62821 / 38949) + 2252 * 1686", "solution_steps": ["Divide: -62821 / 38949 = -62821/38949", "Multiply: -5617 * (-62821/38949) = 352865557/38949", "Multiply: 2252 * 1686 = 3796872", "Add: 352865557/38949 + 3796872 = 148237233085/38949"], "final_answer": "148237233085/38949", "answer_type": "rational", "kind": "expression", "math_text": "-5617 * (-62821 / 38949) + 2252 * 1686", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5617, \"b\": -62821, \"c\": 38949, \"d\": 2252, \"e\": 1686}", "seed": "11323383473139755521", "semantic_fingerprint": "sha256:2ce6c3c78df859aff00faa5e4961d7cc400b9f28c441e9bd114e9c54c741091a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006655", "prompt": "What value of x satisfies 27(x + 3043) - 44332 = 25(x + 10745)?", "solution_steps": ["Expand: 27x + 82161 - 44332 = 25(x + 10745)", "Expand: 27x + 82161 - 44332 = 25x + 268625", "Combine constants: 27x + 37829 = 25x + 268625", "Subtract 25x from both sides: 2x + 37829 = 268625", "Subtract 37829 from both sides: 2x = 230796", "Divide both sides by 2: x = 115398"], "final_answer": "115398", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x + 3043) - 44332 = 25(x + 10745)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 3043, \"c\": 44332, \"d\": 25, \"e\": 10745}", "seed": "14885751779073575797", "semantic_fingerprint": "sha256:65092de6096de1d4031bad1bef7552363940f148371f81b335c6baeda543559c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006656", "prompt": "Evaluate: 7661 - 72869 - 42240 - (-49753 + (-1820))", "solution_steps": ["Subtract: 7661 - 72869 = -65208", "Subtract: -65208 - 42240 = -107448", "Add: -49753 + (-1820) = -51573", "Subtract: -107448 - (-51573) = -55875"], "final_answer": "-55875", "answer_type": "integer", "kind": "expression", "math_text": "7661 - 72869 - 42240 - (-49753 + (-1820))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7661, \"b\": 72869, \"c\": 42240, \"d\": -49753, \"e\": -1820}", "seed": "13108396305580081434", "semantic_fingerprint": "sha256:635d1b786060cb3f57d46f9eac5651a30fc48afea5a58736db0f85e100e7b9f7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006657", "prompt": "Evaluate: 4403 / 54595 * (-24618 - 5324 - 1710 - 34034)", "solution_steps": ["Divide: 4403 / 54595 = 4403/54595", "Subtract: -24618 - 5324 = -29942", "Subtract: -29942 - 1710 = -31652", "Subtract: -31652 - 34034 = -65686", "Multiply: (4403/54595) * (-65686) = -289215458/54595"], "final_answer": "-289215458/54595", "answer_type": "rational", "kind": "expression", "math_text": "4403 / 54595 * (-24618 - 5324 - 1710 - 34034)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (- (- (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4403, \"b\": 54595, \"c\": -24618, \"d\": 5324, \"e\": 1710, \"f\": 34034}", "seed": "1714243496526510889", "semantic_fingerprint": "sha256:e8758d10403351c04f2f1a225f5b74ddf6a8aa8a674d74c9ea1fd69daf9e710f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006658", "prompt": "Compute: 1426 / 5141", "solution_steps": ["Divide: 1426 / 5141 = 1426/5141"], "final_answer": "1426/5141", "answer_type": "rational", "kind": "expression", "math_text": "1426 / 5141", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1426, \"b\": 5141}", "seed": "8644482139177209816", "semantic_fingerprint": "sha256:9bf8c105e8f0e54a623aaa7a686fee9c789925ca74db24cd10b71bb352d0c1f2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006659", "prompt": "Solve the equation -18x - 29655 = x - 9643 for x.", "solution_steps": ["Subtract x from both sides: -19x - 29655 = -9643", "Add 29655 to both sides: -19x = 20012", "Divide both sides by -19: x = -20012/19"], "final_answer": "-20012/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x - 29655 = x - 9643", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 29655, \"c\": 9643}", "seed": "12460861312724394884", "semantic_fingerprint": "sha256:645892e59148b13c34029291395c4c4675f156ea791cf322a6b15f7eea2867ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006660", "prompt": "What value of x satisfies 17(x + 65822) = -40(x - 1036)?", "solution_steps": ["Expand: 17x + 1118974 = -40(x - 1036)", "Expand: 17x + 1118974 = -40x + 41440", "Add 40x to both sides: 57x + 1118974 = 41440", "Subtract 1118974 from both sides: 57x = -1077534", "Divide both sides by 57: x = -359178/19"], "final_answer": "-359178/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 65822) = -40(x - 1036)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 65822, \"c\": -40, \"d\": 1036}", "seed": "4647182667311713964", "semantic_fingerprint": "sha256:1aa58983f3877b2fe437a12fe2e8c6d9011088563a0b48753cf86a79e4fcfbd1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006661", "prompt": "What is -29251 + (-67069) * 7033?", "solution_steps": ["Multiply: -67069 * 7033 = -471696277", "Add: -29251 + (-471696277) = -471725528"], "final_answer": "-471725528", "answer_type": "integer", "kind": "expression", "math_text": "-29251 + (-67069) * 7033", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29251, \"b\": -67069, \"c\": 7033}", "seed": "9156883471180461895", "semantic_fingerprint": "sha256:f30933aba0e44002bc26ed365b3a1f9325df804c03a360ad38e064126b0bdf4b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006662", "prompt": "Compute: -9011 + 46405 - 4563", "solution_steps": ["Add: -9011 + 46405 = 37394", "Subtract: 37394 - 4563 = 32831"], "final_answer": "32831", "answer_type": "integer", "kind": "expression", "math_text": "-9011 + 46405 - 4563", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9011, \"b\": 46405, \"c\": 4563}", "seed": "268649678000106884", "semantic_fingerprint": "sha256:fbfdbfd0da6976df472a0ca775ed01da56f10d03fc993d811a1d9a4669d0b9a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006663", "prompt": "Solve for x: 29(x + 1846) - 2775 = 22x + 52159", "solution_steps": ["Expand: 29x + 53534 - 2775 = 22x + 52159", "Combine constants: 29x + 50759 = 22x + 52159", "Subtract 22x from both sides: 7x + 50759 = 52159", "Subtract 50759 from both sides: 7x = 1400", "Divide both sides by 7: x = 200"], "final_answer": "200", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 1846) - 2775 = 22x + 52159", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1846, \"c\": 2775, \"d\": 22, \"f\": 52159, \"x\": 200}", "seed": "17628977875713531665", "semantic_fingerprint": "sha256:8f05d15d4addd7754ad4538b0c2fb1f75f663566ffe8dfd9022dc0a8a7ba5a8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006664", "prompt": "What is 7798 + 64899 / (-2255) * (-99084)?", "solution_steps": ["Divide: 64899 / (-2255) = -64899/2255", "Multiply: (-64899/2255) * (-99084) = 6430452516/2255", "Add: 7798 + 6430452516/2255 = 6448037006/2255"], "final_answer": "6448037006/2255", "answer_type": "rational", "kind": "expression", "math_text": "7798 + 64899 / (-2255) * (-99084)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7798, \"b\": 64899, \"c\": -2255, \"d\": -99084}", "seed": "4057836583265862968", "semantic_fingerprint": "sha256:636ae671f34c978e0adb0848fc2e3df2b1a58a6d4c0a43442875e15447c76fb0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006665", "prompt": "Calculate: -4283 - 7962", "solution_steps": ["Subtract: -4283 - 7962 = -12245"], "final_answer": "-12245", "answer_type": "integer", "kind": "expression", "math_text": "-4283 - 7962", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4283, \"b\": 7962}", "seed": "14201278703064092478", "semantic_fingerprint": "sha256:07fa6394fd1cf519a5eba7af65ec1ddd604f83fbeffcd9a2b58c652e27c3130b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006666", "prompt": "What is 28692 - (4890 - (-6071)) + (-4634) / 4474 * (-6836)?", "solution_steps": ["Subtract: 4890 - (-6071) = 10961", "Subtract: 28692 - 10961 = 17731", "Divide: -4634 / 4474 = -2317/2237", "Multiply: (-2317/2237) * (-6836) = 15839012/2237", "Add: 17731 + 15839012/2237 = 55503259/2237"], "final_answer": "55503259/2237", "answer_type": "rational", "kind": "expression", "math_text": "28692 - (4890 - (-6071)) + (-4634) / 4474 * (-6836)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28692, \"b\": 4890, \"c\": -6071, \"d\": -4634, \"e\": 4474, \"f\": -6836}", "seed": "5543845008554166829", "semantic_fingerprint": "sha256:217a7be4e0e48f0d816b14cc296664b9dd74bc758b483408152a9b8779efe49a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006667", "prompt": "Calculate: 4830 / 81500", "solution_steps": ["Divide: 4830 / 81500 = 483/8150"], "final_answer": "483/8150", "answer_type": "rational", "kind": "expression", "math_text": "4830 / 81500", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4830, \"b\": 81500}", "seed": "377887185193375948", "semantic_fingerprint": "sha256:32df6d51b5c766f31a1aabd9cc7e9302d233d0a5cc58aa06871aaa2e770c852a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006668", "prompt": "Evaluate: 38628 + 2823 - ((5511 + (-74119)) * (-8819) - 4227)", "solution_steps": ["Add: 38628 + 2823 = 41451", "Add: 5511 + (-74119) = -68608", "Multiply: -68608 * (-8819) = 605053952", "Subtract: 605053952 - 4227 = 605049725", "Subtract: 41451 - 605049725 = -605008274"], "final_answer": "-605008274", "answer_type": "integer", "kind": "expression", "math_text": "38628 + 2823 - ((5511 + (-74119)) * (-8819) - 4227)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (* (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38628, \"b\": 2823, \"c\": 5511, \"d\": -74119, \"e\": -8819, \"f\": 4227}", "seed": "2207180316637100269", "semantic_fingerprint": "sha256:4fd50d7c100c199277927bad453259fb8ae6504f7f666fb70a92487e81c501dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006669", "prompt": "Evaluate: -55530 - (-4752 - (3178 + 41353)) + (84701 - (-2103))", "solution_steps": ["Add: 3178 + 41353 = 44531", "Subtract: -4752 - 44531 = -49283", "Subtract: -55530 - (-49283) = -6247", "Subtract: 84701 - (-2103) = 86804", "Add: -6247 + 86804 = 80557"], "final_answer": "80557", "answer_type": "integer", "kind": "expression", "math_text": "-55530 - (-4752 - (3178 + 41353)) + (84701 - (-2103))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n (+ n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -55530, \"b\": -4752, \"c\": 3178, \"d\": 41353, \"e\": 84701, \"f\": -2103}", "seed": "4071878300761533004", "semantic_fingerprint": "sha256:649dc3348eb8cadb5beaa858fbfaa5af65113017cc4701c7bad669da81eaf484", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006670", "prompt": "Find x: 35x - 6510 = 16(x - 5401) + 80571", "solution_steps": ["Expand: 35x - 6510 = 16x - 86416 + 80571", "Combine constants: 35x - 6510 = 16x - 5845", "Subtract 16x from both sides: 19x - 6510 = -5845", "Add 6510 to both sides: 19x = 665", "Divide both sides by 19: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 6510 = 16(x - 5401) + 80571", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 6510, \"c\": 16, \"d\": 5401, \"f\": 80571, \"x\": 35}", "seed": "5798892031622642582", "semantic_fingerprint": "sha256:2801a9adddc22b5519271c0e7f029bc52321b7808b2d5001d608a889f9a85ab2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006671", "prompt": "Evaluate: -1443 - (-7565)", "solution_steps": ["Subtract: -1443 - (-7565) = 6122"], "final_answer": "6122", "answer_type": "integer", "kind": "expression", "math_text": "-1443 - (-7565)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1443, \"b\": -7565}", "seed": "7778307867235152798", "semantic_fingerprint": "sha256:76c075c03c8bb70be22ac77f5d54cafb98b94dbc06db967473d3aa47ac129da9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006672", "prompt": "Compute: 4955 - 1136 - (-8026)", "solution_steps": ["Subtract: 4955 - 1136 = 3819", "Subtract: 3819 - (-8026) = 11845"], "final_answer": "11845", "answer_type": "integer", "kind": "expression", "math_text": "4955 - 1136 - (-8026)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4955, \"b\": 1136, \"c\": -8026}", "seed": "4458947978691507516", "semantic_fingerprint": "sha256:5737af2fef6e2042583e8dce8f0fde5ee8d427495efec914b537e3ac3c56ff7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006673", "prompt": "What value of x satisfies 24x - 29973 = -24(x - 8402) - 7102?", "solution_steps": ["Expand: 24x - 29973 = -24x + 201648 - 7102", "Combine constants: 24x - 29973 = -24x + 194546", "Add 24x to both sides: 48x - 29973 = 194546", "Add 29973 to both sides: 48x = 224519", "Divide both sides by 48: x = 224519/48"], "final_answer": "224519/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x - 29973 = -24(x - 8402) - 7102", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 29973, \"c\": -24, \"d\": 8402, \"e\": 7102}", "seed": "8247836271954545188", "semantic_fingerprint": "sha256:24b7f21441ada080ac9350ada1c7fd8d2ac13a84f3876b29e9db8356d3a5f595", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006674", "prompt": "What is 7321 / (-8420 / 2118) - 2757?", "solution_steps": ["Divide: -8420 / 2118 = -4210/1059", "Divide: 7321 / (-4210/1059) = -7752939/4210", "Subtract: -7752939/4210 - 2757 = -19359909/4210"], "final_answer": "-19359909/4210", "answer_type": "rational", "kind": "expression", "math_text": "7321 / (-8420 / 2118) - 2757", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7321, \"b\": -8420, \"c\": 2118, \"d\": 2757}", "seed": "14664101974016667937", "semantic_fingerprint": "sha256:712d2e8b4964dd74865643865a827708cfee91451d0633eab7ff84f4b05870e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006675", "prompt": "What value of x satisfies 29x = 28(x + 8294)?", "solution_steps": ["Expand: 29x = 28x + 232232", "Subtract 28x from both sides: x = 232232"], "final_answer": "232232", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = 28(x + 8294)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 28, \"c\": 8294}", "seed": "11356151169022183223", "semantic_fingerprint": "sha256:b15b2bb06edd437f64a1ff412736734de2a068b3560dfa7d49aa0a42fe0b04fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006676", "prompt": "Evaluate: -4876 * (-2176)", "solution_steps": ["Multiply: -4876 * (-2176) = 10610176"], "final_answer": "10610176", "answer_type": "integer", "kind": "expression", "math_text": "-4876 * (-2176)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4876, \"b\": -2176}", "seed": "9380790652265724594", "semantic_fingerprint": "sha256:6d080029886719fddf609d83733102b142b8ac9dc80a3b077da0e7c1a852a31d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006677", "prompt": "Evaluate: 44847 - 41065", "solution_steps": ["Subtract: 44847 - 41065 = 3782"], "final_answer": "3782", "answer_type": "integer", "kind": "expression", "math_text": "44847 - 41065", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 44847, \"b\": 41065}", "seed": "1910165675561301610", "semantic_fingerprint": "sha256:f9ea88addc10af4eaf76f6c5cdf313696e79e577090cf9b981a0051eefd8e6c3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006678", "prompt": "Compute: -91540 - 1414 * (-5155)", "solution_steps": ["Multiply: 1414 * (-5155) = -7289170", "Subtract: -91540 - (-7289170) = 7197630"], "final_answer": "7197630", "answer_type": "integer", "kind": "expression", "math_text": "-91540 - 1414 * (-5155)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91540, \"b\": 1414, \"c\": -5155}", "seed": "133819674640414792", "semantic_fingerprint": "sha256:02dd5e780ca02474d77f7f672c09fa47ff0bfad54d60b9637bd3343e9eb07bb6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006679", "prompt": "What value of x satisfies x = 14x + 92239?", "solution_steps": ["Subtract 14x from both sides: -13x = 92239", "Divide both sides by -13: x = -92239/13"], "final_answer": "-92239/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14x + 92239", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 92239}", "seed": "15449103819084979967", "semantic_fingerprint": "sha256:5370cc3e1ae4d006f0bbded59a61150b96eb19689ee2d6d7fdac6be034fed366", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006680", "prompt": "What value of x satisfies 22x + 47167 = 14(x - 9723)?", "solution_steps": ["Expand: 22x + 47167 = 14x - 136122", "Subtract 14x from both sides: 8x + 47167 = -136122", "Subtract 47167 from both sides: 8x = -183289", "Divide both sides by 8: x = -183289/8"], "final_answer": "-183289/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x + 47167 = 14(x - 9723)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 47167, \"c\": 14, \"d\": 9723}", "seed": "10411981504895198506", "semantic_fingerprint": "sha256:628b16f01b2bc44f3c24c13d982d6b20fa824f8af65a28229780d11532f20145", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006681", "prompt": "Calculate: (-40191 + (-4395)) * 86068", "solution_steps": ["Add: -40191 + (-4395) = -44586", "Multiply: -44586 * 86068 = -3837427848"], "final_answer": "-3837427848", "answer_type": "integer", "kind": "expression", "math_text": "(-40191 + (-4395)) * 86068", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40191, \"b\": -4395, \"c\": 86068}", "seed": "14332205684991093243", "semantic_fingerprint": "sha256:27ce1ed070b314d3c8b18bd6b5db90921891a75d9c9f44e61fd3d7dcd607239e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006682", "prompt": "Evaluate: 65024 + 14515", "solution_steps": ["Add: 65024 + 14515 = 79539"], "final_answer": "79539", "answer_type": "integer", "kind": "expression", "math_text": "65024 + 14515", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 65024, \"b\": 14515}", "seed": "13889832321754981087", "semantic_fingerprint": "sha256:9162b68e6930c3d05313146677aa990291a2608e6338b702f8b08b71ee94abc5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006683", "prompt": "Find x: x = 26x - 2925", "solution_steps": ["Subtract 26x from both sides: -25x = -2925", "Divide both sides by -25: x = 117"], "final_answer": "117", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 26x - 2925", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"c\": -2925, \"x\": 117}", "seed": "8407665705862324663", "semantic_fingerprint": "sha256:1f9f2fcdb45cfaa4ebbfeed46a33264760824287a2749100cf01bdee2321b849", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006684", "prompt": "Solve for x: 30(x - 24137) = x", "solution_steps": ["Expand: 30x - 724110 = x", "Subtract x from both sides: 29x - 724110 = 0", "Add 724110 to both sides: 29x = 724110", "Divide both sides by 29: x = 724110/29"], "final_answer": "724110/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 24137) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 24137}", "seed": "16183784442972874726", "semantic_fingerprint": "sha256:5cd003f0f76755a8f9c2693f250ef0e39210e25d22a9de20fe3aac94a87d4c3b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006685", "prompt": "Calculate: (6330 - (-7027) * 4104) * 5490", "solution_steps": ["Multiply: -7027 * 4104 = -28838808", "Subtract: 6330 - (-28838808) = 28845138", "Multiply: 28845138 * 5490 = 158359807620"], "final_answer": "158359807620", "answer_type": "integer", "kind": "expression", "math_text": "(6330 - (-7027) * 4104) * 5490", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6330, \"b\": -7027, \"c\": 4104, \"d\": 5490}", "seed": "1437578444991768058", "semantic_fingerprint": "sha256:43ec77ab47013ba540d1f60ecbfd8a554483967dc3cb6434967c98bc285e3723", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006686", "prompt": "Compute: -48940 + (-3833) + 8889", "solution_steps": ["Add: -48940 + (-3833) = -52773", "Add: -52773 + 8889 = -43884"], "final_answer": "-43884", "answer_type": "integer", "kind": "expression", "math_text": "-48940 + (-3833) + 8889", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48940, \"b\": -3833, \"c\": 8889}", "seed": "876546291385721356", "semantic_fingerprint": "sha256:8c8cf41b2bd797379f9026e65a8db1f8c523426236879364013456b2cb2dd099", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006687", "prompt": "Calculate: 52288 - (-2357) / 3072", "solution_steps": ["Divide: -2357 / 3072 = -2357/3072", "Subtract: 52288 - (-2357/3072) = 160631093/3072"], "final_answer": "160631093/3072", "answer_type": "rational", "kind": "expression", "math_text": "52288 - (-2357) / 3072", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52288, \"b\": -2357, \"c\": 3072}", "seed": "14854069881870354124", "semantic_fingerprint": "sha256:701776970bf09b898d5552d17265693ab0afad20b8f3077b48d0993713adb2bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006688", "prompt": "Compute: 5123 + (-32532)", "solution_steps": ["Add: 5123 + (-32532) = -27409"], "final_answer": "-27409", "answer_type": "integer", "kind": "expression", "math_text": "5123 + (-32532)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5123, \"b\": -32532}", "seed": "8067632584464707490", "semantic_fingerprint": "sha256:21361cbba0011825cbc386bb3bd52f78feef79971e1934f4a6f1af78b648c3bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006689", "prompt": "Compute: -23589 * 11117", "solution_steps": ["Multiply: -23589 * 11117 = -262238913"], "final_answer": "-262238913", "answer_type": "integer", "kind": "expression", "math_text": "-23589 * 11117", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23589, \"b\": 11117}", "seed": "15470460503976661436", "semantic_fingerprint": "sha256:4208f41674834bd33fe60412f10409788e598dec8f5cedb9a770ec421dd36a79", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006690", "prompt": "What is -62263 + 5008 * 27909?", "solution_steps": ["Multiply: 5008 * 27909 = 139768272", "Add: -62263 + 139768272 = 139706009"], "final_answer": "139706009", "answer_type": "integer", "kind": "expression", "math_text": "-62263 + 5008 * 27909", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62263, \"b\": 5008, \"c\": 27909}", "seed": "17023230821018604859", "semantic_fingerprint": "sha256:ffcc07d20fd18c40c82760db5016a5b31c6b11aed607452b34a6caa5c29b605c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006691", "prompt": "What value of x satisfies x - 2532 = 13x + 8271?", "solution_steps": ["Subtract 13x from both sides: -12x - 2532 = 8271", "Add 2532 to both sides: -12x = 10803", "Divide both sides by -12: x = -3601/4"], "final_answer": "-3601/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2532 = 13x + 8271", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2532, \"b\": 13, \"c\": 8271}", "seed": "108545548832310705", "semantic_fingerprint": "sha256:7141e0c37782735f549bd45bc30ccebef8b358ce1c7b03d1c498901ab1a7440c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006692", "prompt": "What is 13652 * (5581 * (-6211))?", "solution_steps": ["Multiply: 5581 * (-6211) = -34663591", "Multiply: 13652 * (-34663591) = -473227344332"], "final_answer": "-473227344332", "answer_type": "integer", "kind": "expression", "math_text": "13652 * (5581 * (-6211))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13652, \"b\": 5581, \"c\": -6211}", "seed": "3584790693772719123", "semantic_fingerprint": "sha256:97b7130d027290576bed7d4bdc684ef5f3aa014f641d42ca05c132d089b7a95f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006693", "prompt": "Calculate: -7168 * 2777 + (-6314 / (-3717) - (-1657 - 3600))", "solution_steps": ["Multiply: -7168 * 2777 = -19905536", "Divide: -6314 / (-3717) = 902/531", "Subtract: -1657 - 3600 = -5257", "Subtract: 902/531 - (-5257) = 2792369/531", "Add: -19905536 + 2792369/531 = -10567047247/531"], "final_answer": "-10567047247/531", "answer_type": "rational", "kind": "expression", "math_text": "-7168 * 2777 + (-6314 / (-3717) - (-1657 - 3600))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (/ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7168, \"b\": 2777, \"c\": -6314, \"d\": -3717, \"e\": -1657, \"f\": 3600}", "seed": "12689184459217717739", "semantic_fingerprint": "sha256:584b84bb2c83d9889b83ef7ad997193b7cda3d11778de65c064de10f364f2c60", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006694", "prompt": "Evaluate: 7489 - 6127", "solution_steps": ["Subtract: 7489 - 6127 = 1362"], "final_answer": "1362", "answer_type": "integer", "kind": "expression", "math_text": "7489 - 6127", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7489, \"b\": 6127}", "seed": "16799934276230701595", "semantic_fingerprint": "sha256:c8ab17925c250481c7866473f99f773506d4b543323b197ed2a8d108d9dcc157", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006695", "prompt": "Compute: -10733 + (8631 - (-87408))", "solution_steps": ["Subtract: 8631 - (-87408) = 96039", "Add: -10733 + 96039 = 85306"], "final_answer": "85306", "answer_type": "integer", "kind": "expression", "math_text": "-10733 + (8631 - (-87408))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -10733, \"b\": 8631, \"c\": -87408}", "seed": "12739016711978807334", "semantic_fingerprint": "sha256:8f53ba6aa7304db1c678b59dd15a6cce7bc07db91cd0a52e76b851fd524c5a88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006696", "prompt": "Find x: 17(x + 4671) + 17745 = 19(x + 5895) + 5215", "solution_steps": ["Expand: 17x + 79407 + 17745 = 19(x + 5895) + 5215", "Expand: 17x + 79407 + 17745 = 19x + 112005 + 5215", "Combine constants: 17x + 97152 = 19x + 112005 + 5215", "Combine constants: 17x + 97152 = 19x + 117220", "Subtract 19x from both sides: -2x + 97152 = 117220", "Subtract 97152 from both sides: -2x = 20068", "Divide both sides by -2: x = -10034"], "final_answer": "-10034", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 4671) + 17745 = 19(x + 5895) + 5215", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4671, \"c\": 17745, \"d\": 19, \"e\": 5895, \"f\": 5215}", "seed": "3680052862606689293", "semantic_fingerprint": "sha256:22f5488420a6bb3e432e20d572af4ff66f64a3ec66bec0773ca85b032ed63643", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006697", "prompt": "Evaluate: 22270 * (-7309) * 3937 + 7504", "solution_steps": ["Multiply: 22270 * (-7309) = -162771430", "Multiply: -162771430 * 3937 = -640831119910", "Add: -640831119910 + 7504 = -640831112406"], "final_answer": "-640831112406", "answer_type": "integer", "kind": "expression", "math_text": "22270 * (-7309) * 3937 + 7504", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22270, \"b\": -7309, \"c\": 3937, \"d\": 7504}", "seed": "4342755655000626362", "semantic_fingerprint": "sha256:7e4d01a5c512d5f474a3c939fad35fe3480bfb4047f7ba88f9cbd1e79bb1de09", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006698", "prompt": "What is 80210 / 5815?", "solution_steps": ["Divide: 80210 / 5815 = 16042/1163"], "final_answer": "16042/1163", "answer_type": "rational", "kind": "expression", "math_text": "80210 / 5815", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80210, \"b\": 5815}", "seed": "8249192956882315422", "semantic_fingerprint": "sha256:d6fecbafc8cf659c9a8703bc56cfd6d071e7944ce42b6e28122bfb559be1d944", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006699", "prompt": "What is 4500 - (-9688) + 3611 * (-8623) / 12802?", "solution_steps": ["Subtract: 4500 - (-9688) = 14188", "Multiply: 3611 * (-8623) = -31137653", "Divide: -31137653 / 12802 = -31137653/12802", "Add: 14188 + (-31137653/12802) = 150497123/12802"], "final_answer": "150497123/12802", "answer_type": "rational", "kind": "expression", "math_text": "4500 - (-9688) + 3611 * (-8623) / 12802", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4500, \"b\": -9688, \"c\": 3611, \"d\": -8623, \"e\": 12802}", "seed": "15370610717428962002", "semantic_fingerprint": "sha256:e6d9ece07ac8fe20d917e4aec0d8bdee22229d2d930c8447085cff19abccfcee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006700", "prompt": "Solve the equation 24(x + 7188) - 84006 = 30(x + 2990) for x.", "solution_steps": ["Expand: 24x + 172512 - 84006 = 30(x + 2990)", "Expand: 24x + 172512 - 84006 = 30x + 89700", "Combine constants: 24x + 88506 = 30x + 89700", "Subtract 30x from both sides: -6x + 88506 = 89700", "Subtract 88506 from both sides: -6x = 1194", "Divide both sides by -6: x = -199"], "final_answer": "-199", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x + 7188) - 84006 = 30(x + 2990)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 7188, \"c\": 30, \"d\": 2990, \"f\": -84006, \"x\": -199}", "seed": "17006537385975861073", "semantic_fingerprint": "sha256:77ce69f3f85bd1f434d32766ea26a332124dec29abad0f9412ecdaa9c235a239", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006701", "prompt": "Compute: 4617 + (-6927) * (-4659)", "solution_steps": ["Multiply: -6927 * (-4659) = 32272893", "Add: 4617 + 32272893 = 32277510"], "final_answer": "32277510", "answer_type": "integer", "kind": "expression", "math_text": "4617 + (-6927) * (-4659)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4617, \"b\": -6927, \"c\": -4659}", "seed": "7197660770330999739", "semantic_fingerprint": "sha256:fc22bddc315e782adab51fced9d2e83b05f1a20f63a54f1d2947328208a63f77", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006702", "prompt": "Compute: 5434 / (-44347)", "solution_steps": ["Divide: 5434 / (-44347) = -5434/44347"], "final_answer": "-5434/44347", "answer_type": "rational", "kind": "expression", "math_text": "5434 / (-44347)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5434, \"b\": -44347}", "seed": "15038035189436330030", "semantic_fingerprint": "sha256:b938f0f35b9a8b85c261546b733e071c834e8dbb9356f828922f215dc4758198", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006703", "prompt": "Evaluate: -9054 + (-16953) - (-88598)", "solution_steps": ["Add: -9054 + (-16953) = -26007", "Subtract: -26007 - (-88598) = 62591"], "final_answer": "62591", "answer_type": "integer", "kind": "expression", "math_text": "-9054 + (-16953) - (-88598)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9054, \"b\": -16953, \"c\": -88598}", "seed": "4727826628503073159", "semantic_fingerprint": "sha256:951ca5cf81be75f42b6ec7fcec507d03a070cd99f76a51f215a84710d120fa7b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006704", "prompt": "Calculate: -37935 - (-56988) - 35437 * 63917", "solution_steps": ["Subtract: -37935 - (-56988) = 19053", "Multiply: 35437 * 63917 = 2265026729", "Subtract: 19053 - 2265026729 = -2265007676"], "final_answer": "-2265007676", "answer_type": "integer", "kind": "expression", "math_text": "-37935 - (-56988) - 35437 * 63917", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37935, \"b\": -56988, \"c\": 35437, \"d\": 63917}", "seed": "7024568470431583211", "semantic_fingerprint": "sha256:7f4e417283c7c9fddf2188028d44daf12e4272dd947948bf13da76047e1cf627", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006705", "prompt": "Solve for x: x - 1402 = 39(x - 13080) - 65402", "solution_steps": ["Expand: x - 1402 = 39x - 510120 - 65402", "Combine constants: x - 1402 = 39x - 575522", "Subtract 39x from both sides: -38x - 1402 = -575522", "Add 1402 to both sides: -38x = -574120", "Divide both sides by -38: x = 287060/19"], "final_answer": "287060/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1402 = 39(x - 13080) - 65402", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1402, \"b\": 39, \"c\": 13080, \"d\": 65402}", "seed": "13779863809016633992", "semantic_fingerprint": "sha256:168f17605498b63b825be6f16f5706a1b2910edd92e079cfe8e5d5a0f61226bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006706", "prompt": "Compute: -6929 * (-5422 + (-9016) + (-9379)) / (95820 - (-8256))", "solution_steps": ["Add: -5422 + (-9016) = -14438", "Add: -14438 + (-9379) = -23817", "Multiply: -6929 * (-23817) = 165027993", "Subtract: 95820 - (-8256) = 104076", "Divide: 165027993 / 104076 = 55009331/34692"], "final_answer": "55009331/34692", "answer_type": "rational", "kind": "expression", "math_text": "-6929 * (-5422 + (-9016) + (-9379)) / (95820 - (-8256))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6929, \"b\": -5422, \"c\": -9016, \"d\": -9379, \"e\": 95820, \"f\": -8256}", "seed": "846673132335596980", "semantic_fingerprint": "sha256:84a25d13a89c7a237ca1cf53a0d22020ba30f1d8d26d98828a9bf248e0fda225", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006707", "prompt": "What is 6974 - (-1477) + (-59512) / (-40761)?", "solution_steps": ["Subtract: 6974 - (-1477) = 8451", "Divide: -59512 / (-40761) = 59512/40761", "Add: 8451 + 59512/40761 = 344530723/40761"], "final_answer": "344530723/40761", "answer_type": "rational", "kind": "expression", "math_text": "6974 - (-1477) + (-59512) / (-40761)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6974, \"b\": -1477, \"c\": -59512, \"d\": -40761}", "seed": "672363691460221069", "semantic_fingerprint": "sha256:64b2eaffb394d27eaf0eb87bea770859982c36660659052a87eef153fe3e3247", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006708", "prompt": "Solve the equation x = -35x + 20859 for x.", "solution_steps": ["Add 35x to both sides: 36x = 20859", "Divide both sides by 36: x = 6953/12"], "final_answer": "6953/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -35x + 20859", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 20859}", "seed": "5326723046921504813", "semantic_fingerprint": "sha256:d53562364bcbf439205839c4b4ed3778f73fc5717bd7076b2e0ff1373706b30b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006709", "prompt": "Solve for x: 29(x - 8025) - 5639 = -36x + 79830", "solution_steps": ["Expand: 29x - 232725 - 5639 = -36x + 79830", "Combine constants: 29x - 238364 = -36x + 79830", "Add 36x to both sides: 65x - 238364 = 79830", "Add 238364 to both sides: 65x = 318194", "Divide both sides by 65: x = 318194/65"], "final_answer": "318194/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 8025) - 5639 = -36x + 79830", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8025, \"c\": 5639, \"d\": -36, \"e\": 79830}", "seed": "2801710628656165869", "semantic_fingerprint": "sha256:c6e264a0616dd527d0afec650949de5856d6ee09ad5c4a46562ad82ea4acba99", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006710", "prompt": "Calculate: -49177 + 59749 + (-13190 * (-7970) - 3793)", "solution_steps": ["Add: -49177 + 59749 = 10572", "Multiply: -13190 * (-7970) = 105124300", "Subtract: 105124300 - 3793 = 105120507", "Add: 10572 + 105120507 = 105131079"], "final_answer": "105131079", "answer_type": "integer", "kind": "expression", "math_text": "-49177 + 59749 + (-13190 * (-7970) - 3793)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -49177, \"b\": 59749, \"c\": -13190, \"d\": -7970, \"e\": 3793}", "seed": "7162086965867016242", "semantic_fingerprint": "sha256:5ea54b4ef24f7190571762559508327cb152e1268f1aa9366582fb6595d61a3c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006711", "prompt": "What is -3857 * 1230 * 5829 / 61913?", "solution_steps": ["Multiply: -3857 * 1230 = -4744110", "Multiply: -4744110 * 5829 = -27653417190", "Divide: -27653417190 / 61913 = -27653417190/61913"], "final_answer": "-27653417190/61913", "answer_type": "rational", "kind": "expression", "math_text": "-3857 * 1230 * 5829 / 61913", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3857, \"b\": 1230, \"c\": 5829, \"d\": 61913}", "seed": "2101308253006807750", "semantic_fingerprint": "sha256:de3d5089dcb2c0d1888030aa209dcc1e74cce655ce58015996838963b82c7d81", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006712", "prompt": "What is 5908 / (-1538)?", "solution_steps": ["Divide: 5908 / (-1538) = -2954/769"], "final_answer": "-2954/769", "answer_type": "rational", "kind": "expression", "math_text": "5908 / (-1538)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5908, \"b\": -1538}", "seed": "17552267949887424006", "semantic_fingerprint": "sha256:8071ae214d6635930a7cab8ff0f263126b10574681e1acb0b460639d17071fee", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006713", "prompt": "What is -7141 / (3092 / (-7855))?", "solution_steps": ["Divide: 3092 / (-7855) = -3092/7855", "Divide: -7141 / (-3092/7855) = 56092555/3092"], "final_answer": "56092555/3092", "answer_type": "rational", "kind": "expression", "math_text": "-7141 / (3092 / (-7855))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7141, \"b\": 3092, \"c\": -7855}", "seed": "8768566426632551736", "semantic_fingerprint": "sha256:9dce389756ea084b1d00be6a001ea5c2e00a41d64bf63c6e878a9552fe2e784a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006714", "prompt": "Evaluate: -6647 / 36618", "solution_steps": ["Divide: -6647 / 36618 = -391/2154"], "final_answer": "-391/2154", "answer_type": "rational", "kind": "expression", "math_text": "-6647 / 36618", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6647, \"b\": 36618}", "seed": "17140632722682146009", "semantic_fingerprint": "sha256:20d55476b802726684fe53fb761cbc8a7e892b16a347e5fd030e0a9900111fa8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006715", "prompt": "Calculate: -5389 - (-7864) - 4580 / 3540", "solution_steps": ["Subtract: -5389 - (-7864) = 2475", "Divide: 4580 / 3540 = 229/177", "Subtract: 2475 - 229/177 = 437846/177"], "final_answer": "437846/177", "answer_type": "rational", "kind": "expression", "math_text": "-5389 - (-7864) - 4580 / 3540", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5389, \"b\": -7864, \"c\": 4580, \"d\": 3540}", "seed": "7271512779851153775", "semantic_fingerprint": "sha256:c215f941a51cfa8d7905b5a092b52b930fd89b0b8b55fdc82de4ab940fbe7ceb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006716", "prompt": "What is -4879 * 14721?", "solution_steps": ["Multiply: -4879 * 14721 = -71823759"], "final_answer": "-71823759", "answer_type": "integer", "kind": "expression", "math_text": "-4879 * 14721", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4879, \"b\": 14721}", "seed": "12720413761475592031", "semantic_fingerprint": "sha256:41b874d6f6f3796049fe10eaa66b358a804754a6a59bd056cf252e46ee8d5333", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006717", "prompt": "Solve for x: 31(x - 3318) - 36180 = -34(x + 3310) + 71628", "solution_steps": ["Expand: 31x - 102858 - 36180 = -34(x + 3310) + 71628", "Expand: 31x - 102858 - 36180 = -34x - 112540 + 71628", "Combine constants: 31x - 139038 = -34x - 112540 + 71628", "Combine constants: 31x - 139038 = -34x - 40912", "Add 34x to both sides: 65x - 139038 = -40912", "Add 139038 to both sides: 65x = 98126", "Divide both sides by 65: x = 98126/65"], "final_answer": "98126/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 3318) - 36180 = -34(x + 3310) + 71628", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3318, \"c\": 36180, \"d\": -34, \"e\": 3310, \"f\": 71628}", "seed": "3772767863551778359", "semantic_fingerprint": "sha256:8f51b2ecd56538328de5633705ad149a5c534920da9b793a48e8a120942cfef1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006718", "prompt": "Calculate: 20900 / (-6253 + 5923)", "solution_steps": ["Add: -6253 + 5923 = -330", "Divide: 20900 / (-330) = -190/3"], "final_answer": "-190/3", "answer_type": "rational", "kind": "expression", "math_text": "20900 / (-6253 + 5923)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20900, \"b\": -6253, \"c\": 5923}", "seed": "7915005961883682764", "semantic_fingerprint": "sha256:f33a8e2ef1d4ace0483ef6ae3c0e6644799a2cb0b19de77450fa57135e3029aa", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006719", "prompt": "Find x: 21(x + 3376) - 1047 = 66594", "solution_steps": ["Expand: 21x + 70896 - 1047 = 66594", "Combine constants: 21x + 69849 = 66594", "Subtract 69849 from both sides: 21x = -3255", "Divide both sides by 21: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 3376) - 1047 = 66594", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 3376, \"c\": 1047, \"e\": 66594, \"x\": -155}", "seed": "11112958068842775318", "semantic_fingerprint": "sha256:051714587600bda02e1a8739d977cb5dde1502580991b02885a814226ce24e8c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006720", "prompt": "What is -94342 / (9088 - (-8370))?", "solution_steps": ["Subtract: 9088 - (-8370) = 17458", "Divide: -94342 / 17458 = -1097/203"], "final_answer": "-1097/203", "answer_type": "rational", "kind": "expression", "math_text": "-94342 / (9088 - (-8370))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94342, \"b\": 9088, \"c\": -8370}", "seed": "843870658078495373", "semantic_fingerprint": "sha256:bbb03e8d91a236f8dd997f89097deaeab3c3062a308e6e6a6eda6dac467ff0b1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006721", "prompt": "Evaluate: -3405 - 41544", "solution_steps": ["Subtract: -3405 - 41544 = -44949"], "final_answer": "-44949", "answer_type": "integer", "kind": "expression", "math_text": "-3405 - 41544", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3405, \"b\": 41544}", "seed": "7783274902631468922", "semantic_fingerprint": "sha256:1cfebe02f086458b107e29fe8193ddf3e11a370518ebb0c75f46139abbb950b0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006722", "prompt": "What is 8230 - (1435 - (-2114) - (-9591 + 8632))?", "solution_steps": ["Subtract: 1435 - (-2114) = 3549", "Add: -9591 + 8632 = -959", "Subtract: 3549 - (-959) = 4508", "Subtract: 8230 - 4508 = 3722"], "final_answer": "3722", "answer_type": "integer", "kind": "expression", "math_text": "8230 - (1435 - (-2114) - (-9591 + 8632))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8230, \"b\": 1435, \"c\": -2114, \"d\": -9591, \"e\": 8632}", "seed": "3907424063116988835", "semantic_fingerprint": "sha256:9c1f4fea4dd044d121ac1ea6aa89caec16f44f228b1543afe35a83d8fb763947", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006723", "prompt": "What is -9239 - (-8285 + (-35364)) + 2095 + 6733?", "solution_steps": ["Add: -8285 + (-35364) = -43649", "Subtract: -9239 - (-43649) = 34410", "Add: 34410 + 2095 = 36505", "Add: 36505 + 6733 = 43238"], "final_answer": "43238", "answer_type": "integer", "kind": "expression", "math_text": "-9239 - (-8285 + (-35364)) + 2095 + 6733", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9239, \"b\": -8285, \"c\": -35364, \"d\": 2095, \"e\": 6733}", "seed": "12053839315374072822", "semantic_fingerprint": "sha256:212e3f03efb085dbacb0746e9e7665781463dc54b18e7ad3e74324da7e50a924", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006724", "prompt": "Find x: 31x - 2575 = 44904", "solution_steps": ["Add 2575 to both sides: 31x = 47479", "Divide both sides by 31: x = 47479/31"], "final_answer": "47479/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x - 2575 = 44904", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2575, \"c\": 44904}", "seed": "940162000774335693", "semantic_fingerprint": "sha256:cff87811350ebda9a4065b882f6c867a5a584233d62a43eec69b2b2dad9bb33c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006725", "prompt": "Solve the equation -22x + 15605 = 30x for x.", "solution_steps": ["Subtract 30x from both sides: -52x + 15605 = 0", "Subtract 15605 from both sides: -52x = -15605", "Divide both sides by -52: x = 15605/52"], "final_answer": "15605/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22x + 15605 = 30x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 15605, \"c\": 30}", "seed": "3728377928087276698", "semantic_fingerprint": "sha256:ad6003df5840fdf9fd4360fc2d83119001c58df65a71ba16d77e445cdeabedcd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006726", "prompt": "Evaluate: 9552 * (-3204) / (-7295)", "solution_steps": ["Multiply: 9552 * (-3204) = -30604608", "Divide: -30604608 / (-7295) = 30604608/7295"], "final_answer": "30604608/7295", "answer_type": "rational", "kind": "expression", "math_text": "9552 * (-3204) / (-7295)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9552, \"b\": -3204, \"c\": -7295}", "seed": "646031762378779314", "semantic_fingerprint": "sha256:a6ef6060a6968744d514cf3d2f3d17e6b39194f20ef429d4385251b4e8a65946", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006727", "prompt": "What is (1460 - 51230) / (-2677) - 7083?", "solution_steps": ["Subtract: 1460 - 51230 = -49770", "Divide: -49770 / (-2677) = 49770/2677", "Subtract: 49770/2677 - 7083 = -18911421/2677"], "final_answer": "-18911421/2677", "answer_type": "rational", "kind": "expression", "math_text": "(1460 - 51230) / (-2677) - 7083", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1460, \"b\": 51230, \"c\": -2677, \"d\": 7083}", "seed": "7365396869214317291", "semantic_fingerprint": "sha256:6b1b947fbcb103979ea14a16db6504e2989974f57fb5fc2f6170d297334e0fdf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006728", "prompt": "Calculate: (6757 - 5036) * ((-7589 + (-4007)) * 7206)", "solution_steps": ["Subtract: 6757 - 5036 = 1721", "Add: -7589 + (-4007) = -11596", "Multiply: -11596 * 7206 = -83560776", "Multiply: 1721 * (-83560776) = -143808095496"], "final_answer": "-143808095496", "answer_type": "integer", "kind": "expression", "math_text": "(6757 - 5036) * ((-7589 + (-4007)) * 7206)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6757, \"b\": 5036, \"c\": -7589, \"d\": -4007, \"e\": 7206}", "seed": "17850407680905261177", "semantic_fingerprint": "sha256:513cc15fb9135e90c9bfa99295b7d011d6d77eff3f8e79c3715c0e11c5e38abd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006729", "prompt": "Evaluate: -95371 + 4614 * 99656", "solution_steps": ["Multiply: 4614 * 99656 = 459812784", "Add: -95371 + 459812784 = 459717413"], "final_answer": "459717413", "answer_type": "integer", "kind": "expression", "math_text": "-95371 + 4614 * 99656", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95371, \"b\": 4614, \"c\": 99656}", "seed": "9906797357575593620", "semantic_fingerprint": "sha256:397b4c0d49230810d1142b83c0f76d025d2a92f7392b784101284e606fa0bfca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006730", "prompt": "What is 8553 - 3746 / 26609?", "solution_steps": ["Divide: 3746 / 26609 = 3746/26609", "Subtract: 8553 - 3746/26609 = 227583031/26609"], "final_answer": "227583031/26609", "answer_type": "rational", "kind": "expression", "math_text": "8553 - 3746 / 26609", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8553, \"b\": 3746, \"c\": 26609}", "seed": "5907581721665009525", "semantic_fingerprint": "sha256:77409b33c3d888bb6c190d4d41149b59b82a605e098df86e24d36628f3b6c5fc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006731", "prompt": "Solve the equation 39(x - 1876) + 41605 = -16(x - 1637) - 38426 for x.", "solution_steps": ["Expand: 39x - 73164 + 41605 = -16(x - 1637) - 38426", "Expand: 39x - 73164 + 41605 = -16x + 26192 - 38426", "Combine constants: 39x - 31559 = -16x + 26192 - 38426", "Combine constants: 39x - 31559 = -16x - 12234", "Add 16x to both sides: 55x - 31559 = -12234", "Add 31559 to both sides: 55x = 19325", "Divide both sides by 55: x = 3865/11"], "final_answer": "3865/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 1876) + 41605 = -16(x - 1637) - 38426", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 1876, \"c\": 41605, \"d\": -16, \"e\": 1637, \"f\": 38426}", "seed": "13118942651152379428", "semantic_fingerprint": "sha256:26bea74b7f605fc23337f90fa8427c13718df0339fc1aa61b269f5161d16417b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006732", "prompt": "What is 66332 / (4936 / 7543)?", "solution_steps": ["Divide: 4936 / 7543 = 4936/7543", "Divide: 66332 / (4936/7543) = 125085569/1234"], "final_answer": "125085569/1234", "answer_type": "rational", "kind": "expression", "math_text": "66332 / (4936 / 7543)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66332, \"b\": 4936, \"c\": 7543}", "seed": "9932001880116715152", "semantic_fingerprint": "sha256:2ef73140dfb18d33a03bcdaf891bf84deb2a5e17c5da568e38203797615d6a01", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006733", "prompt": "Calculate: 2310 - 2060", "solution_steps": ["Subtract: 2310 - 2060 = 250"], "final_answer": "250", "answer_type": "integer", "kind": "expression", "math_text": "2310 - 2060", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2310, \"b\": 2060}", "seed": "18317844637410822384", "semantic_fingerprint": "sha256:cac865c607a7280791b9b91a47f271d34a0c17cf0f526456424eb319ec3917d1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006734", "prompt": "Calculate: -5143 / (70016 / (-83133)) + 2420 * (-5422)", "solution_steps": ["Divide: 70016 / (-83133) = -70016/83133", "Divide: -5143 / (-70016/83133) = 427553019/70016", "Multiply: 2420 * (-5422) = -13121240", "Add: 427553019/70016 + (-13121240) = -918269186821/70016"], "final_answer": "-918269186821/70016", "answer_type": "rational", "kind": "expression", "math_text": "-5143 / (70016 / (-83133)) + 2420 * (-5422)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5143, \"b\": 70016, \"c\": -83133, \"d\": 2420, \"e\": -5422}", "seed": "9124261841500637855", "semantic_fingerprint": "sha256:62772dc5b27873c51fa0059dde89d19b93713830fc3ca530677a30ce862a05f1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006735", "prompt": "Evaluate: -75343 * (-1997)", "solution_steps": ["Multiply: -75343 * (-1997) = 150459971"], "final_answer": "150459971", "answer_type": "integer", "kind": "expression", "math_text": "-75343 * (-1997)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -75343, \"b\": -1997}", "seed": "4223616814785594592", "semantic_fingerprint": "sha256:5bc2e4a275a24ea8265e9ec2916ff6d9e470d7d486a1703fd745ae06a1d5199d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006736", "prompt": "Find x: -20x = 19x", "solution_steps": ["Subtract 19x from both sides: -39x = 0", "Divide both sides by -39: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = 19x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 19}", "seed": "2042454580529350094", "semantic_fingerprint": "sha256:8fce80b47737785a6c3f33be903647fc2c8b6bebddeb1354fb4b633aeb525545", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006737", "prompt": "Solve for x: -32x = -26x", "solution_steps": ["Add 26x to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x = -26x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": -26}", "seed": "8920969342833309169", "semantic_fingerprint": "sha256:df1a4aca2950a8bf8def6bc9de278386acc925cc0257cb6c9d50cf46821dcc4e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006738", "prompt": "What is 9966 * (-88850)?", "solution_steps": ["Multiply: 9966 * (-88850) = -885479100"], "final_answer": "-885479100", "answer_type": "integer", "kind": "expression", "math_text": "9966 * (-88850)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9966, \"b\": -88850}", "seed": "15546392243454707383", "semantic_fingerprint": "sha256:ea9c75f33094b1667979cdaada53751e4f6c4a6b49cc578df3f9637e0b7a0bef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006739", "prompt": "What is (-3137 + (-83513)) / 75978 - 1904 - 8097?", "solution_steps": ["Add: -3137 + (-83513) = -86650", "Divide: -86650 / 75978 = -43325/37989", "Subtract: -43325/37989 - 1904 = -72374381/37989", "Subtract: -72374381/37989 - 8097 = -379971314/37989"], "final_answer": "-379971314/37989", "answer_type": "rational", "kind": "expression", "math_text": "(-3137 + (-83513)) / 75978 - 1904 - 8097", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3137, \"b\": -83513, \"c\": 75978, \"d\": 1904, \"e\": 8097}", "seed": "1371398226577754379", "semantic_fingerprint": "sha256:3806c52ce52287e3110f4f3994579b0876bd1375655c0d68dd8f33522d80894d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006740", "prompt": "Compute: -87979 / (-5499 + 91526)", "solution_steps": ["Add: -5499 + 91526 = 86027", "Divide: -87979 / 86027 = -87979/86027"], "final_answer": "-87979/86027", "answer_type": "rational", "kind": "expression", "math_text": "-87979 / (-5499 + 91526)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -87979, \"b\": -5499, \"c\": 91526}", "seed": "14641183926865108515", "semantic_fingerprint": "sha256:90ae6ba56548d886de82dc522c409b9a62f783f5dbd7f4899aeff560517e25a4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006741", "prompt": "Solve the equation x + 1030 = 32x - 2783 for x.", "solution_steps": ["Subtract 32x from both sides: -31x + 1030 = -2783", "Subtract 1030 from both sides: -31x = -3813", "Divide both sides by -31: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1030 = 32x - 2783", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1030, \"b\": 32, \"d\": -2783, \"x\": 123}", "seed": "560911222463405544", "semantic_fingerprint": "sha256:a9e6b8ba7a2bc6d20e6d4c16853a0a7d8189e23e0178e08433e6f8c4e9f3c58c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006742", "prompt": "Calculate: -5785 + (-5094) - (-15434 - (-3232))", "solution_steps": ["Add: -5785 + (-5094) = -10879", "Subtract: -15434 - (-3232) = -12202", "Subtract: -10879 - (-12202) = 1323"], "final_answer": "1323", "answer_type": "integer", "kind": "expression", "math_text": "-5785 + (-5094) - (-15434 - (-3232))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5785, \"b\": -5094, \"c\": -15434, \"d\": -3232}", "seed": "943343666768743132", "semantic_fingerprint": "sha256:a191bb8bfb557de6fb748c3534876ef81afd8e53c1018d0061274d37db46b1de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006743", "prompt": "Evaluate: 61016 / (-5414 / 6178)", "solution_steps": ["Divide: -5414 / 6178 = -2707/3089", "Divide: 61016 / (-2707/3089) = -188478424/2707"], "final_answer": "-188478424/2707", "answer_type": "rational", "kind": "expression", "math_text": "61016 / (-5414 / 6178)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61016, \"b\": -5414, \"c\": 6178}", "seed": "11602858332560929026", "semantic_fingerprint": "sha256:74f4d897c9b1418946f65370610e10b6ba3b6fa9951f1a967b95c3dd156b83a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006744", "prompt": "Evaluate: 7118 + (-2700 - (-46714))", "solution_steps": ["Subtract: -2700 - (-46714) = 44014", "Add: 7118 + 44014 = 51132"], "final_answer": "51132", "answer_type": "integer", "kind": "expression", "math_text": "7118 + (-2700 - (-46714))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7118, \"b\": -2700, \"c\": -46714}", "seed": "14140216604303309640", "semantic_fingerprint": "sha256:20162f5fde4b4a8d5198be2f773d61ff54f09c5a537d4735901580dfaa0c2aab", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006745", "prompt": "What value of x satisfies x = 35x - 7832?", "solution_steps": ["Subtract 35x from both sides: -34x = -7832", "Divide both sides by -34: x = 3916/17"], "final_answer": "3916/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35x - 7832", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7832}", "seed": "1328754621594884803", "semantic_fingerprint": "sha256:06d6f41c3884f0d1838ecb20c8f72600026f89135ced228c0b9fad1f65727200", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006746", "prompt": "Evaluate: 8108 * (-36316) / (-1827) + (-97359)", "solution_steps": ["Multiply: 8108 * (-36316) = -294450128", "Divide: -294450128 / (-1827) = 42064304/261", "Add: 42064304/261 + (-97359) = 16653605/261"], "final_answer": "16653605/261", "answer_type": "rational", "kind": "expression", "math_text": "8108 * (-36316) / (-1827) + (-97359)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8108, \"b\": -36316, \"c\": -1827, \"d\": -97359}", "seed": "3659978323384196927", "semantic_fingerprint": "sha256:87c655f9308d02a4a3f62abd01e0ce2fe0540a07df3b0835f3289cecea46bdf6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006747", "prompt": "Solve the equation -34x = 20x + 3348 for x.", "solution_steps": ["Subtract 20x from both sides: -54x = 3348", "Divide both sides by -54: x = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x = 20x + 3348", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 20, \"d\": 3348, \"x\": -62}", "seed": "243544923189658617", "semantic_fingerprint": "sha256:b98249390ef757d022f6bea9b99db758ab1d94c653970caec5cdb9ffbe2e9307", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006748", "prompt": "Calculate: -80501 * (-2235) + 96524", "solution_steps": ["Multiply: -80501 * (-2235) = 179919735", "Add: 179919735 + 96524 = 180016259"], "final_answer": "180016259", "answer_type": "integer", "kind": "expression", "math_text": "-80501 * (-2235) + 96524", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -80501, \"b\": -2235, \"c\": 96524}", "seed": "1673052747264585985", "semantic_fingerprint": "sha256:24246601ea3af255497187d460ee27639f9f2b0a649c90d534de56a7b7e2513b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006749", "prompt": "Evaluate: -6459 - (-1587 - 35327 - 9342) * (67048 / 10050)", "solution_steps": ["Subtract: -1587 - 35327 = -36914", "Subtract: -36914 - 9342 = -46256", "Divide: 67048 / 10050 = 33524/5025", "Multiply: -46256 * (33524/5025) = -1550686144/5025", "Subtract: -6459 - (-1550686144/5025) = 1518229669/5025"], "final_answer": "1518229669/5025", "answer_type": "rational", "kind": "expression", "math_text": "-6459 - (-1587 - 35327 - 9342) * (67048 / 10050)", "variable": null, "family": "expression_5op", "shape": "(- n (* (- (- n n) n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6459, \"b\": -1587, \"c\": 35327, \"d\": 9342, \"e\": 67048, \"f\": 10050}", "seed": "7394926076402028169", "semantic_fingerprint": "sha256:51682723b44bcb5e175ef3cff829da9a36d2e22e1861f03ecf786e51ae5b8910", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006750", "prompt": "Solve the equation -35(x + 2081) = -18x - 53191 for x.", "solution_steps": ["Expand: -35x - 72835 = -18x - 53191", "Add 18x to both sides: -17x - 72835 = -53191", "Add 72835 to both sides: -17x = 19644", "Divide both sides by -17: x = -19644/17"], "final_answer": "-19644/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 2081) = -18x - 53191", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 2081, \"c\": -18, \"d\": 53191}", "seed": "15601328853809857450", "semantic_fingerprint": "sha256:0673e917b021ae74b66d82fb959e1127152169e4c7e5a3a397dafb84813200ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006751", "prompt": "Solve the equation x + 58576 = 22x + 8835 for x.", "solution_steps": ["Subtract 22x from both sides: -21x + 58576 = 8835", "Subtract 58576 from both sides: -21x = -49741", "Divide both sides by -21: x = 49741/21"], "final_answer": "49741/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 58576 = 22x + 8835", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 58576, \"b\": 22, \"c\": 8835}", "seed": "8552970660331380678", "semantic_fingerprint": "sha256:cb2f58e8582d333894e31fca23831754abb454fdfc0d6cb06c36919b92e7e00a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006752", "prompt": "Find x: 28(x - 5737) = x", "solution_steps": ["Expand: 28x - 160636 = x", "Subtract x from both sides: 27x - 160636 = 0", "Add 160636 to both sides: 27x = 160636", "Divide both sides by 27: x = 160636/27"], "final_answer": "160636/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 5737) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 5737}", "seed": "6782617377786645553", "semantic_fingerprint": "sha256:e7612215b508885603f2226ae56008cfc7969ece8e36d2c62d0cb5c2d20856ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006753", "prompt": "What is (-1634 - 46274 * (-9865 + 85723)) / (-6111)?", "solution_steps": ["Add: -9865 + 85723 = 75858", "Multiply: 46274 * 75858 = 3510253092", "Subtract: -1634 - 3510253092 = -3510254726", "Divide: -3510254726 / (-6111) = 3510254726/6111"], "final_answer": "3510254726/6111", "answer_type": "rational", "kind": "expression", "math_text": "(-1634 - 46274 * (-9865 + 85723)) / (-6111)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1634, \"b\": 46274, \"c\": -9865, \"d\": 85723, \"e\": -6111}", "seed": "8255751615558168538", "semantic_fingerprint": "sha256:2660f4d558fc152db9bac24be14d59320d0164aae973da649926315f50b118e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006754", "prompt": "Solve the equation 29(x + 55275) + 93976 = 88752 for x.", "solution_steps": ["Expand: 29x + 1602975 + 93976 = 88752", "Combine constants: 29x + 1696951 = 88752", "Subtract 1696951 from both sides: 29x = -1608199", "Divide both sides by 29: x = -1608199/29"], "final_answer": "-1608199/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 55275) + 93976 = 88752", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 55275, \"c\": 93976, \"d\": 88752}", "seed": "13924820741156586756", "semantic_fingerprint": "sha256:d1427d4cfbd812d64c6d7d9b542e37f8d398ea8b36b23cad4d0a38ac40a5de9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006755", "prompt": "Solve for x: 26(x - 1308) + 3100 = 31x - 31808", "solution_steps": ["Expand: 26x - 34008 + 3100 = 31x - 31808", "Combine constants: 26x - 30908 = 31x - 31808", "Subtract 31x from both sides: -5x - 30908 = -31808", "Add 30908 to both sides: -5x = -900", "Divide both sides by -5: x = 180"], "final_answer": "180", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 1308) + 3100 = 31x - 31808", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 1308, \"c\": 3100, \"d\": 31, \"f\": -31808, \"x\": 180}", "seed": "16015541454807198918", "semantic_fingerprint": "sha256:ad7a5ee3f16f0bf0734bd03427a20592aacd56d0b64c1453c5b896c5d213c8db", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006756", "prompt": "Solve for x: 27(x - 2142) = -33x", "solution_steps": ["Expand: 27x - 57834 = -33x", "Add 33x to both sides: 60x - 57834 = 0", "Add 57834 to both sides: 60x = 57834", "Divide both sides by 60: x = 9639/10"], "final_answer": "9639/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 2142) = -33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 2142, \"c\": -33}", "seed": "5499566272614204883", "semantic_fingerprint": "sha256:3b47f3c99334f793c01a7a8d911116c1da32786102eef3fbd2bbd52ae1b2c4ed", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006757", "prompt": "What is -5914 / 4286 - (-5238 + 1101)?", "solution_steps": ["Divide: -5914 / 4286 = -2957/2143", "Add: -5238 + 1101 = -4137", "Subtract: -2957/2143 - (-4137) = 8862634/2143"], "final_answer": "8862634/2143", "answer_type": "rational", "kind": "expression", "math_text": "-5914 / 4286 - (-5238 + 1101)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5914, \"b\": 4286, \"c\": -5238, \"d\": 1101}", "seed": "6539185046217082051", "semantic_fingerprint": "sha256:6957b490f2a7bd7e4f21362a16351aa29a79d66ad27f0e2899c8be8ac1983ee9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006758", "prompt": "Compute: -3536 + (-7621 - (-33224)) / 8453", "solution_steps": ["Subtract: -7621 - (-33224) = 25603", "Divide: 25603 / 8453 = 25603/8453", "Add: -3536 + 25603/8453 = -29864205/8453"], "final_answer": "-29864205/8453", "answer_type": "rational", "kind": "expression", "math_text": "-3536 + (-7621 - (-33224)) / 8453", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3536, \"b\": -7621, \"c\": -33224, \"d\": 8453}", "seed": "6582084288976953265", "semantic_fingerprint": "sha256:d17ea5dedf0e39fbad2c1d98d80f5a73c7d4bf962a30b097357a16f8857ff90b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006759", "prompt": "Compute: 8210 / (-3475) * (8134 - (-4865) * (-58900))", "solution_steps": ["Divide: 8210 / (-3475) = -1642/695", "Multiply: -4865 * (-58900) = 286548500", "Subtract: 8134 - 286548500 = -286540366", "Multiply: (-1642/695) * (-286540366) = 470499280972/695"], "final_answer": "470499280972/695", "answer_type": "rational", "kind": "expression", "math_text": "8210 / (-3475) * (8134 - (-4865) * (-58900))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8210, \"b\": -3475, \"c\": 8134, \"d\": -4865, \"e\": -58900}", "seed": "7820707169236963888", "semantic_fingerprint": "sha256:08cfb532d43215f348d486730fd59bdbc6557af5710106be3194c71dc909d999", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006760", "prompt": "What is -88849 - (67835 - 6927)?", "solution_steps": ["Subtract: 67835 - 6927 = 60908", "Subtract: -88849 - 60908 = -149757"], "final_answer": "-149757", "answer_type": "integer", "kind": "expression", "math_text": "-88849 - (67835 - 6927)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88849, \"b\": 67835, \"c\": 6927}", "seed": "7931959287579339567", "semantic_fingerprint": "sha256:59f86175c7381bef5f9bae7eccd6f00f1de444acf162afd60eb3a083b4fe3d05", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006761", "prompt": "What is -8764 - (-61287) / 19286?", "solution_steps": ["Divide: -61287 / 19286 = -61287/19286", "Subtract: -8764 - (-61287/19286) = -168961217/19286"], "final_answer": "-168961217/19286", "answer_type": "rational", "kind": "expression", "math_text": "-8764 - (-61287) / 19286", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8764, \"b\": -61287, \"c\": 19286}", "seed": "12502178018419340752", "semantic_fingerprint": "sha256:1943b1ad0f0a9bca576bd006dc0001e080a31fcccd424b7ec3634e9f28fec2ac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006762", "prompt": "Solve for x: -18(x - 3345) + 9333 = 37(x - 1445) - 1824", "solution_steps": ["Expand: -18x + 60210 + 9333 = 37(x - 1445) - 1824", "Expand: -18x + 60210 + 9333 = 37x - 53465 - 1824", "Combine constants: -18x + 69543 = 37x - 53465 - 1824", "Combine constants: -18x + 69543 = 37x - 55289", "Subtract 37x from both sides: -55x + 69543 = -55289", "Subtract 69543 from both sides: -55x = -124832", "Divide both sides by -55: x = 124832/55"], "final_answer": "124832/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x - 3345) + 9333 = 37(x - 1445) - 1824", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 3345, \"c\": 9333, \"d\": 37, \"e\": 1445, \"f\": 1824}", "seed": "13356027664571023877", "semantic_fingerprint": "sha256:2035301acb9584d64a6a9aaf41f0ac2398ef94f5e3e931d5f91ab60ab990efb1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006763", "prompt": "Calculate: 7688 - (-5368)", "solution_steps": ["Subtract: 7688 - (-5368) = 13056"], "final_answer": "13056", "answer_type": "integer", "kind": "expression", "math_text": "7688 - (-5368)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7688, \"b\": -5368}", "seed": "6038485068953039468", "semantic_fingerprint": "sha256:6ea40b66c4582e2ef5c88caf29ddc6f851757cdd6966ecc2ff661c25c21f0513", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006764", "prompt": "Evaluate: 97726 + (-3557) / (3935 / (-9090))", "solution_steps": ["Divide: 3935 / (-9090) = -787/1818", "Divide: -3557 / (-787/1818) = 6466626/787", "Add: 97726 + 6466626/787 = 83376988/787"], "final_answer": "83376988/787", "answer_type": "rational", "kind": "expression", "math_text": "97726 + (-3557) / (3935 / (-9090))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 97726, \"b\": -3557, \"c\": 3935, \"d\": -9090}", "seed": "14013320521089709107", "semantic_fingerprint": "sha256:0fd6a1d31ff3624003ea066e5dc95e9b16ca5c11c1088035a28bb22cfc31ab8a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006765", "prompt": "Solve for x: 31(x + 5983) + 4175 = 15(x + 9948) + 43004", "solution_steps": ["Expand: 31x + 185473 + 4175 = 15(x + 9948) + 43004", "Expand: 31x + 185473 + 4175 = 15x + 149220 + 43004", "Combine constants: 31x + 189648 = 15x + 149220 + 43004", "Combine constants: 31x + 189648 = 15x + 192224", "Subtract 15x from both sides: 16x + 189648 = 192224", "Subtract 189648 from both sides: 16x = 2576", "Divide both sides by 16: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x + 5983) + 4175 = 15(x + 9948) + 43004", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 5983, \"c\": 4175, \"d\": 15, \"e\": 9948, \"g\": 43004, \"x\": 161}", "seed": "16658064944106778312", "semantic_fingerprint": "sha256:8508a7d102e30c4bfa1f518ee939a56f57f2cdd4e77d220c60047cbc535d511f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006766", "prompt": "What value of x satisfies x + 3060 = 19x?", "solution_steps": ["Subtract 19x from both sides: -18x + 3060 = 0", "Subtract 3060 from both sides: -18x = -3060", "Divide both sides by -18: x = 170"], "final_answer": "170", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3060 = 19x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 3060, \"x\": 170}", "seed": "17551003941816812901", "semantic_fingerprint": "sha256:9525727c8f944e2b7df8c5f4b0042eea99e906c597f045da39f49846ca912c88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006767", "prompt": "Evaluate: -2034 / (-90025)", "solution_steps": ["Divide: -2034 / (-90025) = 2034/90025"], "final_answer": "2034/90025", "answer_type": "rational", "kind": "expression", "math_text": "-2034 / (-90025)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2034, \"b\": -90025}", "seed": "8959974740373461229", "semantic_fingerprint": "sha256:b4e0fb1cc4ca9f10984b88a1369dc7d998e9aab689d3ef9f610f564bb60ea197", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006768", "prompt": "Compute: -95380 * 75159 + (-9861) - (-1629)", "solution_steps": ["Multiply: -95380 * 75159 = -7168665420", "Add: -7168665420 + (-9861) = -7168675281", "Subtract: -7168675281 - (-1629) = -7168673652"], "final_answer": "-7168673652", "answer_type": "integer", "kind": "expression", "math_text": "-95380 * 75159 + (-9861) - (-1629)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -95380, \"b\": 75159, \"c\": -9861, \"d\": -1629}", "seed": "6082452356066997656", "semantic_fingerprint": "sha256:d61243dd3db251f9ad10c46053af2d794fd384d6d060bbdb59f13b81175b1151", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006769", "prompt": "Find x: 31(x - 63295) = 16(x - 21245) - 30228", "solution_steps": ["Expand: 31x - 1962145 = 16(x - 21245) - 30228", "Expand: 31x - 1962145 = 16x - 339920 - 30228", "Combine constants: 31x - 1962145 = 16x - 370148", "Subtract 16x from both sides: 15x - 1962145 = -370148", "Add 1962145 to both sides: 15x = 1591997", "Divide both sides by 15: x = 1591997/15"], "final_answer": "1591997/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 63295) = 16(x - 21245) - 30228", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 63295, \"c\": 16, \"d\": 21245, \"e\": 30228}", "seed": "5199636177259743255", "semantic_fingerprint": "sha256:53111a6ff71c890ff2fe1d13f68df587ff2d40ab76f416c4e6810b459469a542", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006770", "prompt": "Solve the equation 39(x + 65733) - 3042 = x for x.", "solution_steps": ["Expand: 39x + 2563587 - 3042 = x", "Combine constants: 39x + 2560545 = x", "Subtract x from both sides: 38x + 2560545 = 0", "Subtract 2560545 from both sides: 38x = -2560545", "Divide both sides by 38: x = -2560545/38"], "final_answer": "-2560545/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 65733) - 3042 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 65733, \"c\": 3042}", "seed": "6093528091366580812", "semantic_fingerprint": "sha256:8e0a36ded47f76860d9648ee3d7bdd41d0264f5c22d6b8237262d2f37b9dc974", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006771", "prompt": "Compute: (41875 - (-1495)) / (-82735)", "solution_steps": ["Subtract: 41875 - (-1495) = 43370", "Divide: 43370 / (-82735) = -8674/16547"], "final_answer": "-8674/16547", "answer_type": "rational", "kind": "expression", "math_text": "(41875 - (-1495)) / (-82735)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41875, \"b\": -1495, \"c\": -82735}", "seed": "5765633770291222047", "semantic_fingerprint": "sha256:ff9e81ea958f8ad71e35d224aefe25d1b36c02cc0fb0a6a5bd5a1548f4fd3ff7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006772", "prompt": "Calculate: 32158 - (69098 / (-82119) * 3351 + (-95353))", "solution_steps": ["Divide: 69098 / (-82119) = -69098/82119", "Multiply: (-69098/82119) * 3351 = -77182466/27373", "Add: -77182466/27373 + (-95353) = -2687280135/27373", "Subtract: 32158 - (-2687280135/27373) = 3567541069/27373"], "final_answer": "3567541069/27373", "answer_type": "rational", "kind": "expression", "math_text": "32158 - (69098 / (-82119) * 3351 + (-95353))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32158, \"b\": 69098, \"c\": -82119, \"d\": 3351, \"e\": -95353}", "seed": "17143120338703466995", "semantic_fingerprint": "sha256:a77dfd2d3f87d53b7736db1b8ed494d61c1f1875b2d29c1145c25c833f777474", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006773", "prompt": "Evaluate: 9632 - 3223 / 2964", "solution_steps": ["Divide: 3223 / 2964 = 3223/2964", "Subtract: 9632 - 3223/2964 = 28546025/2964"], "final_answer": "28546025/2964", "answer_type": "rational", "kind": "expression", "math_text": "9632 - 3223 / 2964", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9632, \"b\": 3223, \"c\": 2964}", "seed": "1732101078426755404", "semantic_fingerprint": "sha256:891423792c704eca81125dfdb39fe9f11fc0a248c479ce2fedf6ac6afd1c8a98", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006774", "prompt": "Calculate: 7874 / 7106", "solution_steps": ["Divide: 7874 / 7106 = 3937/3553"], "final_answer": "3937/3553", "answer_type": "rational", "kind": "expression", "math_text": "7874 / 7106", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7874, \"b\": 7106}", "seed": "5842304957472990510", "semantic_fingerprint": "sha256:450360c8e31036d7248ddfac6ed6261df9aa78dbd76296fde7200fab783ea6c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006775", "prompt": "Calculate: 8292 / 7943 + 9516 + (-2236) * (-5470)", "solution_steps": ["Divide: 8292 / 7943 = 8292/7943", "Add: 8292/7943 + 9516 = 75593880/7943", "Multiply: -2236 * (-5470) = 12230920", "Add: 75593880/7943 + 12230920 = 97225791440/7943"], "final_answer": "97225791440/7943", "answer_type": "rational", "kind": "expression", "math_text": "8292 / 7943 + 9516 + (-2236) * (-5470)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8292, \"b\": 7943, \"c\": 9516, \"d\": -2236, \"e\": -5470}", "seed": "8699179636811951830", "semantic_fingerprint": "sha256:58873d0c892f1af67e449615f9ae93c2f05a36cfb4e3e599bbcf189ecfbf9991", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006776", "prompt": "Solve the equation 19(x - 1475) + 29241 = 35x for x.", "solution_steps": ["Expand: 19x - 28025 + 29241 = 35x", "Combine constants: 19x + 1216 = 35x", "Subtract 35x from both sides: -16x + 1216 = 0", "Subtract 1216 from both sides: -16x = -1216", "Divide both sides by -16: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 1475) + 29241 = 35x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1475, \"c\": 35, \"e\": 29241, \"x\": 76}", "seed": "1699786562723326146", "semantic_fingerprint": "sha256:036d90220b1a79dc777f248ecf90076dc5a7a5a89c6702b78ee120cb3342ebf0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006777", "prompt": "Evaluate: 61456 - 3694 / 1839", "solution_steps": ["Divide: 3694 / 1839 = 3694/1839", "Subtract: 61456 - 3694/1839 = 113013890/1839"], "final_answer": "113013890/1839", "answer_type": "rational", "kind": "expression", "math_text": "61456 - 3694 / 1839", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61456, \"b\": 3694, \"c\": 1839}", "seed": "774534665899862721", "semantic_fingerprint": "sha256:3cb746433a00026c3b96dedde143d0e9797ef0ebc448829b3b056a0f8a61e599", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006778", "prompt": "What is 6880 * (38645 / 9130 - (-6379))?", "solution_steps": ["Divide: 38645 / 9130 = 7729/1826", "Subtract: 7729/1826 - (-6379) = 11655783/1826", "Multiply: 6880 * (11655783/1826) = 40095893520/913"], "final_answer": "40095893520/913", "answer_type": "rational", "kind": "expression", "math_text": "6880 * (38645 / 9130 - (-6379))", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6880, \"b\": 38645, \"c\": 9130, \"d\": -6379}", "seed": "6857751752780016966", "semantic_fingerprint": "sha256:de7a7ebc3beee64c62c48053b2b72b18ae5e9e1b2e6ba5e8b9bec828063c3233", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006779", "prompt": "Evaluate: 1542 / 3521 - (-3133)", "solution_steps": ["Divide: 1542 / 3521 = 1542/3521", "Subtract: 1542/3521 - (-3133) = 11032835/3521"], "final_answer": "11032835/3521", "answer_type": "rational", "kind": "expression", "math_text": "1542 / 3521 - (-3133)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1542, \"b\": 3521, \"c\": -3133}", "seed": "13442277792246874824", "semantic_fingerprint": "sha256:d41d7b7bf0fd225736a7c08232062e7ab1ddf88f411607df6b0a708c14a936de", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006780", "prompt": "Compute: (7091 + 1778) * 74101 / (-7738)", "solution_steps": ["Add: 7091 + 1778 = 8869", "Multiply: 8869 * 74101 = 657201769", "Divide: 657201769 / (-7738) = -657201769/7738"], "final_answer": "-657201769/7738", "answer_type": "rational", "kind": "expression", "math_text": "(7091 + 1778) * 74101 / (-7738)", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7091, \"b\": 1778, \"c\": 74101, \"d\": -7738}", "seed": "4255963731336051262", "semantic_fingerprint": "sha256:1561171b8163506de01241362e415704b7749bcc94d423426d2d04369323ba3e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006781", "prompt": "Calculate: -81782 / 12360", "solution_steps": ["Divide: -81782 / 12360 = -397/60"], "final_answer": "-397/60", "answer_type": "rational", "kind": "expression", "math_text": "-81782 / 12360", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81782, \"b\": 12360}", "seed": "15112295284664015147", "semantic_fingerprint": "sha256:294f737704a0432f3e4fa6819aa3ff69b9f5a0af268165bf96772de9b785a300", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006782", "prompt": "What value of x satisfies 19x = -28x - 5648?", "solution_steps": ["Add 28x to both sides: 47x = -5648", "Divide both sides by 47: x = -5648/47"], "final_answer": "-5648/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = -28x - 5648", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": -28, \"c\": 5648}", "seed": "3205630260895963679", "semantic_fingerprint": "sha256:824b638f539bad70d4d551479c9d060498a077f001e9e349f20cf3e58b344209", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006783", "prompt": "Solve for x: 13x + 9824 = 30x + 8266", "solution_steps": ["Subtract 30x from both sides: -17x + 9824 = 8266", "Subtract 9824 from both sides: -17x = -1558", "Divide both sides by -17: x = 1558/17"], "final_answer": "1558/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 9824 = 30x + 8266", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 9824, \"c\": 30, \"d\": 8266}", "seed": "14470183834008526681", "semantic_fingerprint": "sha256:0b7da24ba2b4b56fdf8e7ec31370202c6e4226bf1fb16a43aa52f07b3b097200", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006784", "prompt": "Solve for x: 16x - 2805 = x - 7334", "solution_steps": ["Subtract x from both sides: 15x - 2805 = -7334", "Add 2805 to both sides: 15x = -4529", "Divide both sides by 15: x = -4529/15"], "final_answer": "-4529/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x - 2805 = x - 7334", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 2805, \"c\": 7334}", "seed": "17927848643938600312", "semantic_fingerprint": "sha256:c1ecf3ebd29d05cdfd178af3fbcbb5a97564f670726ab6e6b207a1f3124dc403", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006785", "prompt": "Compute: -1106 * 8280 / 67600", "solution_steps": ["Multiply: -1106 * 8280 = -9157680", "Divide: -9157680 / 67600 = -114471/845"], "final_answer": "-114471/845", "answer_type": "rational", "kind": "expression", "math_text": "-1106 * 8280 / 67600", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1106, \"b\": 8280, \"c\": 67600}", "seed": "5466524390163864443", "semantic_fingerprint": "sha256:f2f040e39257b60df67d19a4f5c26d15054c7fcd92697bee553a2729b83b0c90", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006786", "prompt": "What is 3866 * (-82250 / (-8126))?", "solution_steps": ["Divide: -82250 / (-8126) = 41125/4063", "Multiply: 3866 * (41125/4063) = 158989250/4063"], "final_answer": "158989250/4063", "answer_type": "rational", "kind": "expression", "math_text": "3866 * (-82250 / (-8126))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3866, \"b\": -82250, \"c\": -8126}", "seed": "16315101252552866357", "semantic_fingerprint": "sha256:0766783d8af9b123c75b65c32bc51c2589626779b2c988b668383fdec05ee27b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006787", "prompt": "Calculate: 52876 - (-40495) * (-7591)", "solution_steps": ["Multiply: -40495 * (-7591) = 307397545", "Subtract: 52876 - 307397545 = -307344669"], "final_answer": "-307344669", "answer_type": "integer", "kind": "expression", "math_text": "52876 - (-40495) * (-7591)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52876, \"b\": -40495, \"c\": -7591}", "seed": "3682958078502162926", "semantic_fingerprint": "sha256:596c53d6c220f6b5508c7f3badf02a2b121464cae3aad694d09436c0b8665377", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006788", "prompt": "What is 98808 / (-3700)?", "solution_steps": ["Divide: 98808 / (-3700) = -24702/925"], "final_answer": "-24702/925", "answer_type": "rational", "kind": "expression", "math_text": "98808 / (-3700)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98808, \"b\": -3700}", "seed": "14050761026888067141", "semantic_fingerprint": "sha256:93e1c90621ecb4a153842a09499ce9a60340d5b4782ddb63286ca6fe097a05c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006789", "prompt": "Solve the equation 40(x + 77572) + 2693 = 28(x - 1763) for x.", "solution_steps": ["Expand: 40x + 3102880 + 2693 = 28(x - 1763)", "Expand: 40x + 3102880 + 2693 = 28x - 49364", "Combine constants: 40x + 3105573 = 28x - 49364", "Subtract 28x from both sides: 12x + 3105573 = -49364", "Subtract 3105573 from both sides: 12x = -3154937", "Divide both sides by 12: x = -3154937/12"], "final_answer": "-3154937/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 77572) + 2693 = 28(x - 1763)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 77572, \"c\": 2693, \"d\": 28, \"e\": 1763}", "seed": "13579780974181223286", "semantic_fingerprint": "sha256:719d38db1dd217ec05aac2568a20851ea0ecf85cc98a75c30687aa07f25e1f32", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006790", "prompt": "Calculate: -2477 * (-1316)", "solution_steps": ["Multiply: -2477 * (-1316) = 3259732"], "final_answer": "3259732", "answer_type": "integer", "kind": "expression", "math_text": "-2477 * (-1316)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2477, \"b\": -1316}", "seed": "15959273766989269314", "semantic_fingerprint": "sha256:432d1cada620679a98c35dddca9ecf373a1c29c682bee773ce8dcb7b12f31cce", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006791", "prompt": "Evaluate: (8789 + (-5479)) * (-1358) * (-90026 - (-1054))", "solution_steps": ["Add: 8789 + (-5479) = 3310", "Multiply: 3310 * (-1358) = -4494980", "Subtract: -90026 - (-1054) = -88972", "Multiply: -4494980 * (-88972) = 399927360560"], "final_answer": "399927360560", "answer_type": "integer", "kind": "expression", "math_text": "(8789 + (-5479)) * (-1358) * (-90026 - (-1054))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8789, \"b\": -5479, \"c\": -1358, \"d\": -90026, \"e\": -1054}", "seed": "15296221190625583197", "semantic_fingerprint": "sha256:972ec7a7c1cd19b3f7316a6c38ac72abd6cfdecb59d798050c7658df989b242a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006792", "prompt": "Compute: 1640 * (-73508)", "solution_steps": ["Multiply: 1640 * (-73508) = -120553120"], "final_answer": "-120553120", "answer_type": "integer", "kind": "expression", "math_text": "1640 * (-73508)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1640, \"b\": -73508}", "seed": "14932306111581604902", "semantic_fingerprint": "sha256:aee98cb66b7df478ee6809326f3a88aade30009f598bf8b5f73776247ee5b5e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006793", "prompt": "Find x: 14(x - 5804) - 6602 = 22x - 89402", "solution_steps": ["Expand: 14x - 81256 - 6602 = 22x - 89402", "Combine constants: 14x - 87858 = 22x - 89402", "Subtract 22x from both sides: -8x - 87858 = -89402", "Add 87858 to both sides: -8x = -1544", "Divide both sides by -8: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 5804) - 6602 = 22x - 89402", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5804, \"c\": 6602, \"d\": 22, \"f\": -89402, \"x\": 193}", "seed": "12977621613949210781", "semantic_fingerprint": "sha256:d3311a30e0039fbb3ff0aa03c155e3bf584738f22b2cb742dfa8a50d62ddb841", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006794", "prompt": "What value of x satisfies 37x + 2369 = 40(x - 41598)?", "solution_steps": ["Expand: 37x + 2369 = 40x - 1663920", "Subtract 40x from both sides: -3x + 2369 = -1663920", "Subtract 2369 from both sides: -3x = -1666289", "Divide both sides by -3: x = 1666289/3"], "final_answer": "1666289/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x + 2369 = 40(x - 41598)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2369, \"c\": 40, \"d\": 41598}", "seed": "2929741790083312220", "semantic_fingerprint": "sha256:db19cf75b7e71c50aaaef2f015184217d074d5efb4b1544e1706146ffb6c77dd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006795", "prompt": "Evaluate: -9323 / (-11572 + 6057 - (-1398) + (-5488))", "solution_steps": ["Add: -11572 + 6057 = -5515", "Subtract: -5515 - (-1398) = -4117", "Add: -4117 + (-5488) = -9605", "Divide: -9323 / (-9605) = 9323/9605"], "final_answer": "9323/9605", "answer_type": "rational", "kind": "expression", "math_text": "-9323 / (-11572 + 6057 - (-1398) + (-5488))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9323, \"b\": -11572, \"c\": 6057, \"d\": -1398, \"e\": -5488}", "seed": "16719133585263683496", "semantic_fingerprint": "sha256:1b5c62ae0612ad304a688e38865e0d8bc0eec7ae8cd18ba47e1238abfe7f345b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006796", "prompt": "What is -53028 - (-3621) - (-88896) * (-65766)?", "solution_steps": ["Subtract: -53028 - (-3621) = -49407", "Multiply: -88896 * (-65766) = 5846334336", "Subtract: -49407 - 5846334336 = -5846383743"], "final_answer": "-5846383743", "answer_type": "integer", "kind": "expression", "math_text": "-53028 - (-3621) - (-88896) * (-65766)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -53028, \"b\": -3621, \"c\": -88896, \"d\": -65766}", "seed": "2915108321782657562", "semantic_fingerprint": "sha256:a93fde58fcd397ebac841c78d33eb24e446a0beedc8d2819ccca603d2301010e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006797", "prompt": "Evaluate: 98177 - (-5990) + (-7277 - 7234)", "solution_steps": ["Subtract: 98177 - (-5990) = 104167", "Subtract: -7277 - 7234 = -14511", "Add: 104167 + (-14511) = 89656"], "final_answer": "89656", "answer_type": "integer", "kind": "expression", "math_text": "98177 - (-5990) + (-7277 - 7234)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98177, \"b\": -5990, \"c\": -7277, \"d\": 7234}", "seed": "13771780382762814606", "semantic_fingerprint": "sha256:ca13ce6a0107986b9ce801f643e92b626271c9153c514a029ade1e4978b7d025", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006798", "prompt": "Evaluate: 16650 * 3625", "solution_steps": ["Multiply: 16650 * 3625 = 60356250"], "final_answer": "60356250", "answer_type": "integer", "kind": "expression", "math_text": "16650 * 3625", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16650, \"b\": 3625}", "seed": "11397134120580672776", "semantic_fingerprint": "sha256:18ae46a092172cdf51f9f3bffe01e020f90a1519870e8fb68a3c6fef77047b84", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006799", "prompt": "Compute: (35580 - (-43301)) / 1462", "solution_steps": ["Subtract: 35580 - (-43301) = 78881", "Divide: 78881 / 1462 = 78881/1462"], "final_answer": "78881/1462", "answer_type": "rational", "kind": "expression", "math_text": "(35580 - (-43301)) / 1462", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35580, \"b\": -43301, \"c\": 1462}", "seed": "3886735915054155481", "semantic_fingerprint": "sha256:17f4eb9c5de42b9a0668719a213bc70f09da10bc7c04cb62081e73ef695b117d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006800", "prompt": "Calculate: 7155 * 88766 - 5543", "solution_steps": ["Multiply: 7155 * 88766 = 635120730", "Subtract: 635120730 - 5543 = 635115187"], "final_answer": "635115187", "answer_type": "integer", "kind": "expression", "math_text": "7155 * 88766 - 5543", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7155, \"b\": 88766, \"c\": 5543}", "seed": "11856087884460034925", "semantic_fingerprint": "sha256:8c0c26fc8fe596c65ffbabf09454ef46c156bbbec2a7222413dbb12ecef588bc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006801", "prompt": "Evaluate: -15516 * (-39698 + 8612) * 1997", "solution_steps": ["Add: -39698 + 8612 = -31086", "Multiply: -15516 * (-31086) = 482330376", "Multiply: 482330376 * 1997 = 963213760872"], "final_answer": "963213760872", "answer_type": "integer", "kind": "expression", "math_text": "-15516 * (-39698 + 8612) * 1997", "variable": null, "family": "expression_3op", "shape": "(* (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15516, \"b\": -39698, \"c\": 8612, \"d\": 1997}", "seed": "7909406525046777574", "semantic_fingerprint": "sha256:98ef755b86d778ad948636732a229bc1d948d2e4720d34eeac59f7dca549ceb3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006802", "prompt": "Compute: -81757 * 39335 + (-4886)", "solution_steps": ["Multiply: -81757 * 39335 = -3215911595", "Add: -3215911595 + (-4886) = -3215916481"], "final_answer": "-3215916481", "answer_type": "integer", "kind": "expression", "math_text": "-81757 * 39335 + (-4886)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81757, \"b\": 39335, \"c\": -4886}", "seed": "6854489393334918316", "semantic_fingerprint": "sha256:21ff985bf618553443fcce71d8010c9fd33d7f87a456a5a49afe20f9133d8aa8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006803", "prompt": "What is 86104 + (-60848 + (-5246)) + 2883?", "solution_steps": ["Add: -60848 + (-5246) = -66094", "Add: 86104 + (-66094) = 20010", "Add: 20010 + 2883 = 22893"], "final_answer": "22893", "answer_type": "integer", "kind": "expression", "math_text": "86104 + (-60848 + (-5246)) + 2883", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86104, \"b\": -60848, \"c\": -5246, \"d\": 2883}", "seed": "10937414368320617224", "semantic_fingerprint": "sha256:800c011c728e2fd0ef37c04132c7f1b3ed465024b2d43207c49b20c4a71cb379", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006804", "prompt": "What value of x satisfies x - 89887 = -18x - 86923?", "solution_steps": ["Add 18x to both sides: 19x - 89887 = -86923", "Add 89887 to both sides: 19x = 2964", "Divide both sides by 19: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 89887 = -18x - 86923", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 89887, \"b\": -18, \"d\": -86923, \"x\": 156}", "seed": "10474846474026850298", "semantic_fingerprint": "sha256:1266c3fa1bb3d7d04ae02cdc485712b9b92e8788fa0d204e56e34a32ec5d500c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006805", "prompt": "What is 7113 * (-2708)?", "solution_steps": ["Multiply: 7113 * (-2708) = -19262004"], "final_answer": "-19262004", "answer_type": "integer", "kind": "expression", "math_text": "7113 * (-2708)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7113, \"b\": -2708}", "seed": "15984361275855859344", "semantic_fingerprint": "sha256:a356861fb655c757961c02a354b821bb22884523256fb285e00e8101c12a38d2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006806", "prompt": "Find x: 31(x + 9061) = 18(x + 55919)", "solution_steps": ["Expand: 31x + 280891 = 18(x + 55919)", "Expand: 31x + 280891 = 18x + 1006542", "Subtract 18x from both sides: 13x + 280891 = 1006542", "Subtract 280891 from both sides: 13x = 725651", "Divide both sides by 13: x = 725651/13"], "final_answer": "725651/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 9061) = 18(x + 55919)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 9061, \"c\": 18, \"d\": 55919}", "seed": "5006960760824769376", "semantic_fingerprint": "sha256:0997f9ebe01b986165d9df2fd35be277b0b3289d8173b5526a0bf4a62ee7e1fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006807", "prompt": "What value of x satisfies 16(x - 4335) - 3402 = -16x - 76922?", "solution_steps": ["Expand: 16x - 69360 - 3402 = -16x - 76922", "Combine constants: 16x - 72762 = -16x - 76922", "Add 16x to both sides: 32x - 72762 = -76922", "Add 72762 to both sides: 32x = -4160", "Divide both sides by 32: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 4335) - 3402 = -16x - 76922", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4335, \"c\": 3402, \"d\": -16, \"f\": -76922, \"x\": -130}", "seed": "12269748723559681806", "semantic_fingerprint": "sha256:fb10d234bace722beb330501e33d68796334463f2975cf460a9df313909a9b34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006808", "prompt": "Calculate: -9407 / (84133 / 87920) * (-7938) - (-4062)", "solution_steps": ["Divide: 84133 / 87920 = 12019/12560", "Divide: -9407 / (12019/12560) = -118151920/12019", "Multiply: (-118151920/12019) * (-7938) = 133984277280/1717", "Subtract: 133984277280/1717 - (-4062) = 133991251734/1717"], "final_answer": "133991251734/1717", "answer_type": "rational", "kind": "expression", "math_text": "-9407 / (84133 / 87920) * (-7938) - (-4062)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9407, \"b\": 84133, \"c\": 87920, \"d\": -7938, \"e\": -4062}", "seed": "9274133606970414475", "semantic_fingerprint": "sha256:a2fe349f76f73ec0ed8e500b930a3d44628db2f9975bd1ae511460ac6513f3fb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006809", "prompt": "Find x: x + 4245 = 25(x + 35023) + 1106", "solution_steps": ["Expand: x + 4245 = 25x + 875575 + 1106", "Combine constants: x + 4245 = 25x + 876681", "Subtract 25x from both sides: -24x + 4245 = 876681", "Subtract 4245 from both sides: -24x = 872436", "Divide both sides by -24: x = -72703/2"], "final_answer": "-72703/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4245 = 25(x + 35023) + 1106", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4245, \"b\": 25, \"c\": 35023, \"d\": 1106}", "seed": "12503789006815932947", "semantic_fingerprint": "sha256:2d928fe80b5edba9bf6ec15553bfa8e1173cdee72b088631afc6ad0ec66e4927", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006810", "prompt": "Solve for x: x - 31837 = 17x - 29629", "solution_steps": ["Subtract 17x from both sides: -16x - 31837 = -29629", "Add 31837 to both sides: -16x = 2208", "Divide both sides by -16: x = -138"], "final_answer": "-138", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 31837 = 17x - 29629", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31837, \"b\": 17, \"d\": -29629, \"x\": -138}", "seed": "14545700591229122209", "semantic_fingerprint": "sha256:19b8e7874f850a92c2e5edc7b58218cf1a1158ddb4bcdae855b55201065a3bdb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006811", "prompt": "Compute: -7647 - (-98782) + 6700", "solution_steps": ["Subtract: -7647 - (-98782) = 91135", "Add: 91135 + 6700 = 97835"], "final_answer": "97835", "answer_type": "integer", "kind": "expression", "math_text": "-7647 - (-98782) + 6700", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7647, \"b\": -98782, \"c\": 6700}", "seed": "13665716778863593766", "semantic_fingerprint": "sha256:27c3683a4679dc46ea272d45dc4ce7936dbadb895576919cdc39a6f81f0f67c6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006812", "prompt": "Evaluate: -32866 / (-3443) - 6085", "solution_steps": ["Divide: -32866 / (-3443) = 32866/3443", "Subtract: 32866/3443 - 6085 = -20917789/3443"], "final_answer": "-20917789/3443", "answer_type": "rational", "kind": "expression", "math_text": "-32866 / (-3443) - 6085", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32866, \"b\": -3443, \"c\": 6085}", "seed": "13317844897666766799", "semantic_fingerprint": "sha256:4a439d90585c49170b172b71bc2fa73eb7a9c9752411a6f2dec0e139a2ede7bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006813", "prompt": "Calculate: -3567 + 20772", "solution_steps": ["Add: -3567 + 20772 = 17205"], "final_answer": "17205", "answer_type": "integer", "kind": "expression", "math_text": "-3567 + 20772", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3567, \"b\": 20772}", "seed": "8706079495984306966", "semantic_fingerprint": "sha256:13f6fe7951466ef536b90f343d2119ee7b7ef4c2628207c82ccc7fac455b82a7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006814", "prompt": "Compute: -96474 / 6139", "solution_steps": ["Divide: -96474 / 6139 = -13782/877"], "final_answer": "-13782/877", "answer_type": "rational", "kind": "expression", "math_text": "-96474 / 6139", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96474, \"b\": 6139}", "seed": "5606191564580149869", "semantic_fingerprint": "sha256:f8474cafbbe41300e6e9a32956efc8a19fc09a7b0ec786bb5ea4c4efa0d1c2ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006815", "prompt": "Calculate: -77757 + (-9841 - 8152) - (89760 - 71247)", "solution_steps": ["Subtract: -9841 - 8152 = -17993", "Add: -77757 + (-17993) = -95750", "Subtract: 89760 - 71247 = 18513", "Subtract: -95750 - 18513 = -114263"], "final_answer": "-114263", "answer_type": "integer", "kind": "expression", "math_text": "-77757 + (-9841 - 8152) - (89760 - 71247)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -77757, \"b\": -9841, \"c\": 8152, \"d\": 89760, \"e\": 71247}", "seed": "9424148837025004935", "semantic_fingerprint": "sha256:02fbb5fd85fe912d1f1c7c2896fc92ea8a7aedbe760394510201d62144f11550", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006816", "prompt": "Calculate: (80517 - 4500) / (97079 - 8628 + (-34391))", "solution_steps": ["Subtract: 80517 - 4500 = 76017", "Subtract: 97079 - 8628 = 88451", "Add: 88451 + (-34391) = 54060", "Divide: 76017 / 54060 = 25339/18020"], "final_answer": "25339/18020", "answer_type": "rational", "kind": "expression", "math_text": "(80517 - 4500) / (97079 - 8628 + (-34391))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 80517, \"b\": 4500, \"c\": 97079, \"d\": 8628, \"e\": -34391}", "seed": "13275774300824907570", "semantic_fingerprint": "sha256:deaac7959c974a651a584b5a107a5d156e7156c6cf701b3e0a7d4542e7a22ff4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006817", "prompt": "Compute: 7011 / (4917 / 7319) + (-14489) + 8157", "solution_steps": ["Divide: 4917 / 7319 = 4917/7319", "Divide: 7011 / (4917/7319) = 17104503/1639", "Add: 17104503/1639 + (-14489) = -6642968/1639", "Add: -6642968/1639 + 8157 = 6726355/1639"], "final_answer": "6726355/1639", "answer_type": "rational", "kind": "expression", "math_text": "7011 / (4917 / 7319) + (-14489) + 8157", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7011, \"b\": 4917, \"c\": 7319, \"d\": -14489, \"e\": 8157}", "seed": "9551104770836485463", "semantic_fingerprint": "sha256:7d72c0b15ca2c79ae3715be984908588cb7ede8a16929704a9f14a2375f6875c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006818", "prompt": "Calculate: -78041 + (2903 + (-3900))", "solution_steps": ["Add: 2903 + (-3900) = -997", "Add: -78041 + (-997) = -79038"], "final_answer": "-79038", "answer_type": "integer", "kind": "expression", "math_text": "-78041 + (2903 + (-3900))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -78041, \"b\": 2903, \"c\": -3900}", "seed": "9849394193160056726", "semantic_fingerprint": "sha256:5fec4a398118bbbf57567bde064145f2f961ec1651fbe1c689d43d3d29fae014", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006819", "prompt": "Solve for x: 27x + 6044 = 40(x + 6469)", "solution_steps": ["Expand: 27x + 6044 = 40x + 258760", "Subtract 40x from both sides: -13x + 6044 = 258760", "Subtract 6044 from both sides: -13x = 252716", "Divide both sides by -13: x = -252716/13"], "final_answer": "-252716/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 6044 = 40(x + 6469)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 6044, \"c\": 40, \"d\": 6469}", "seed": "7410216037695768593", "semantic_fingerprint": "sha256:ab9db6f72b050d3fe369f0e107c6ac197f6e262dc2449c707914680a6fc81256", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006820", "prompt": "Evaluate: -6375 - (-92744) + (56819 + (-4593))", "solution_steps": ["Subtract: -6375 - (-92744) = 86369", "Add: 56819 + (-4593) = 52226", "Add: 86369 + 52226 = 138595"], "final_answer": "138595", "answer_type": "integer", "kind": "expression", "math_text": "-6375 - (-92744) + (56819 + (-4593))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6375, \"b\": -92744, \"c\": 56819, \"d\": -4593}", "seed": "3659177396451625432", "semantic_fingerprint": "sha256:ffebf38348d1c55a0e48e44fc1a60b83f9071a536481e89d624a1773a44a5a41", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006821", "prompt": "What is -2496 * (-8218 + 9560)?", "solution_steps": ["Add: -8218 + 9560 = 1342", "Multiply: -2496 * 1342 = -3349632"], "final_answer": "-3349632", "answer_type": "integer", "kind": "expression", "math_text": "-2496 * (-8218 + 9560)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2496, \"b\": -8218, \"c\": 9560}", "seed": "13743478902086609258", "semantic_fingerprint": "sha256:25e4364b54ab6acd48a7e97a1f1c8e0070763becefff3ed5be95890cf1fb808d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006822", "prompt": "Calculate: 1441 * 5124 * (21297 / (-4400 + (-9866)))", "solution_steps": ["Multiply: 1441 * 5124 = 7383684", "Add: -4400 + (-9866) = -14266", "Divide: 21297 / (-14266) = -21297/14266", "Multiply: 7383684 * (-21297/14266) = -11232165582/1019"], "final_answer": "-11232165582/1019", "answer_type": "rational", "kind": "expression", "math_text": "1441 * 5124 * (21297 / (-4400 + (-9866)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1441, \"b\": 5124, \"c\": 21297, \"d\": -4400, \"e\": -9866}", "seed": "10022773793914889862", "semantic_fingerprint": "sha256:77d355acb2a4d33f64e391386894ded63470a5b071184454cced3c9487a44316", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006823", "prompt": "What is -6938 * (-18420 / (-4349))?", "solution_steps": ["Divide: -18420 / (-4349) = 18420/4349", "Multiply: -6938 * (18420/4349) = -127797960/4349"], "final_answer": "-127797960/4349", "answer_type": "rational", "kind": "expression", "math_text": "-6938 * (-18420 / (-4349))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6938, \"b\": -18420, \"c\": -4349}", "seed": "4728871361475326271", "semantic_fingerprint": "sha256:494a0df55cf6326555b07840a0cb01ce677c9821f9f39cf31027a7d20dd0b1b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006824", "prompt": "What value of x satisfies 35(x + 4562) = 37x?", "solution_steps": ["Expand: 35x + 159670 = 37x", "Subtract 37x from both sides: -2x + 159670 = 0", "Subtract 159670 from both sides: -2x = -159670", "Divide both sides by -2: x = 79835"], "final_answer": "79835", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 4562) = 37x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4562, \"c\": 37}", "seed": "4959298392041984034", "semantic_fingerprint": "sha256:8e829f7f28ec7709ef60b127a99548257c57d08bf40ae28e67838cf8de1e22f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006825", "prompt": "Compute: -1806 / (-37758 + 3065)", "solution_steps": ["Add: -37758 + 3065 = -34693", "Divide: -1806 / (-34693) = 1806/34693"], "final_answer": "1806/34693", "answer_type": "rational", "kind": "expression", "math_text": "-1806 / (-37758 + 3065)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1806, \"b\": -37758, \"c\": 3065}", "seed": "7225774752713340338", "semantic_fingerprint": "sha256:6290b15b8d2d13285c5bd46d3f97327d52d36c46748e142cfacac5745cea9332", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006826", "prompt": "What is -5732 + (-40596)?", "solution_steps": ["Add: -5732 + (-40596) = -46328"], "final_answer": "-46328", "answer_type": "integer", "kind": "expression", "math_text": "-5732 + (-40596)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5732, \"b\": -40596}", "seed": "11388068064287700930", "semantic_fingerprint": "sha256:6fb106bbd86ec96b06ccce9279f690eaab3ac910ed43defb6b147cded0f5ffd5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006827", "prompt": "Solve for x: 33(x - 41303) = -5847", "solution_steps": ["Expand: 33x - 1362999 = -5847", "Add 1362999 to both sides: 33x = 1357152", "Divide both sides by 33: x = 452384/11"], "final_answer": "452384/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 41303) = -5847", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 41303, \"c\": -5847}", "seed": "14658201516886657630", "semantic_fingerprint": "sha256:af90afecedc000769395679321ee8d25c5f2d21f0cd00be927c6db974c667ef2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006828", "prompt": "Find x: 13(x - 10872) = -28(x - 57062) + 2372", "solution_steps": ["Expand: 13x - 141336 = -28(x - 57062) + 2372", "Expand: 13x - 141336 = -28x + 1597736 + 2372", "Combine constants: 13x - 141336 = -28x + 1600108", "Add 28x to both sides: 41x - 141336 = 1600108", "Add 141336 to both sides: 41x = 1741444", "Divide both sides by 41: x = 1741444/41"], "final_answer": "1741444/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 10872) = -28(x - 57062) + 2372", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 10872, \"c\": -28, \"d\": 57062, \"e\": 2372}", "seed": "2584220119087388493", "semantic_fingerprint": "sha256:189648b174c0b1288f9f73c93ec591ed7c31a5e0799e224511ba5c54f3ebbe49", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006829", "prompt": "Calculate: (-64595 + 62629 + 30820) / (-9151 * 1484)", "solution_steps": ["Add: -64595 + 62629 = -1966", "Add: -1966 + 30820 = 28854", "Multiply: -9151 * 1484 = -13580084", "Divide: 28854 / (-13580084) = -2061/970006"], "final_answer": "-2061/970006", "answer_type": "rational", "kind": "expression", "math_text": "(-64595 + 62629 + 30820) / (-9151 * 1484)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -64595, \"b\": 62629, \"c\": 30820, \"d\": -9151, \"e\": 1484}", "seed": "16551330653089352666", "semantic_fingerprint": "sha256:ac27eaec375a4a6875b8bbb9980922e1ff2640d6a78291a3037a7de89bfcc3e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006830", "prompt": "What value of x satisfies 34x = 40(x - 2993)?", "solution_steps": ["Expand: 34x = 40x - 119720", "Subtract 40x from both sides: -6x = -119720", "Divide both sides by -6: x = 59860/3"], "final_answer": "59860/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x = 40(x - 2993)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 40, \"c\": 2993}", "seed": "15960713664981208640", "semantic_fingerprint": "sha256:38abe0bfb6d0605bb530a6814917e5611611d8ca0eb0413a5b21bc95786496ad", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006831", "prompt": "Compute: 5221 / 6874 - 41684", "solution_steps": ["Divide: 5221 / 6874 = 5221/6874", "Subtract: 5221/6874 - 41684 = -286530595/6874"], "final_answer": "-286530595/6874", "answer_type": "rational", "kind": "expression", "math_text": "5221 / 6874 - 41684", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5221, \"b\": 6874, \"c\": 41684}", "seed": "3278528973655989332", "semantic_fingerprint": "sha256:cdc855499a1aeb8ebdfd504f689b2c035ecf8ea8fab45373affa7b2bfa552eac", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006832", "prompt": "Evaluate: -8401 - (8577 - (-4824)) - (-4151)", "solution_steps": ["Subtract: 8577 - (-4824) = 13401", "Subtract: -8401 - 13401 = -21802", "Subtract: -21802 - (-4151) = -17651"], "final_answer": "-17651", "answer_type": "integer", "kind": "expression", "math_text": "-8401 - (8577 - (-4824)) - (-4151)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8401, \"b\": 8577, \"c\": -4824, \"d\": -4151}", "seed": "9150165398365705968", "semantic_fingerprint": "sha256:32780a9df3d7f27d4f3defae6f8fb810457ed57fc8d24a93c8302d88e8196ac9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006833", "prompt": "Calculate: 71088 * (-1991 / 43514) + (-7273) + (-5966)", "solution_steps": ["Divide: -1991 / 43514 = -1991/43514", "Multiply: 71088 * (-1991/43514) = -70768104/21757", "Add: -70768104/21757 + (-7273) = -229006765/21757", "Add: -229006765/21757 + (-5966) = -358809027/21757"], "final_answer": "-358809027/21757", "answer_type": "rational", "kind": "expression", "math_text": "71088 * (-1991 / 43514) + (-7273) + (-5966)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 71088, \"b\": -1991, \"c\": 43514, \"d\": -7273, \"e\": -5966}", "seed": "11293537053401203197", "semantic_fingerprint": "sha256:d0dfbe6dba20e02f2b3a0497589b1d0de464c4678de135223a7708b363d5cef9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006834", "prompt": "Calculate: 47812 - 39539 * 65648", "solution_steps": ["Multiply: 39539 * 65648 = 2595656272", "Subtract: 47812 - 2595656272 = -2595608460"], "final_answer": "-2595608460", "answer_type": "integer", "kind": "expression", "math_text": "47812 - 39539 * 65648", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47812, \"b\": 39539, \"c\": 65648}", "seed": "8239511642642585562", "semantic_fingerprint": "sha256:8f874d1d7e43f89d203baea222854b34839f16d62f9c823224966c1dc690729b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006835", "prompt": "Solve the equation 24x + 95319 = 25x - 7596 for x.", "solution_steps": ["Subtract 25x from both sides: -x + 95319 = -7596", "Subtract 95319 from both sides: -x = -102915", "Divide both sides by -1: x = 102915"], "final_answer": "102915", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 95319 = 25x - 7596", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 95319, \"c\": 25, \"d\": 7596}", "seed": "8459907910775849348", "semantic_fingerprint": "sha256:f74380e358bc2649a0b7f875def6f1e18d97a29d8ac3dfa8d5383f2eec01410a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006836", "prompt": "Compute: 8983 / 4248", "solution_steps": ["Divide: 8983 / 4248 = 8983/4248"], "final_answer": "8983/4248", "answer_type": "rational", "kind": "expression", "math_text": "8983 / 4248", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8983, \"b\": 4248}", "seed": "16443494631303445163", "semantic_fingerprint": "sha256:e63837b7bcb17c74e7abb7a627390b78b64313105c779c9027a6f07337d1fe46", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006837", "prompt": "Compute: -2292 * 71376 / (-1854 + 3204 - (-3135)) + 99542", "solution_steps": ["Multiply: -2292 * 71376 = -163593792", "Add: -1854 + 3204 = 1350", "Subtract: 1350 - (-3135) = 4485", "Divide: -163593792 / 4485 = -54531264/1495", "Add: -54531264/1495 + 99542 = 94284026/1495"], "final_answer": "94284026/1495", "answer_type": "rational", "kind": "expression", "math_text": "-2292 * 71376 / (-1854 + 3204 - (-3135)) + 99542", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2292, \"b\": 71376, \"c\": -1854, \"d\": 3204, \"e\": -3135, \"f\": 99542}", "seed": "5087916953904580331", "semantic_fingerprint": "sha256:b580477e5a90994afe2a30f040f6dc9539db8f40ac4633a583961f8579bafdff", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006838", "prompt": "Solve the equation 32(x + 4006) = x - 5684 for x.", "solution_steps": ["Expand: 32x + 128192 = x - 5684", "Subtract x from both sides: 31x + 128192 = -5684", "Subtract 128192 from both sides: 31x = -133876", "Divide both sides by 31: x = -133876/31"], "final_answer": "-133876/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 4006) = x - 5684", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 4006, \"c\": 5684}", "seed": "5456713012027517304", "semantic_fingerprint": "sha256:3f4619e2cdf18a129aa8b68e7a2a2d6194e1d3795b54c8aad8b1e71c00a2cca6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006839", "prompt": "Solve the equation -23(x - 5436) + 9576 = -26(x - 2990) + 56444 for x.", "solution_steps": ["Expand: -23x + 125028 + 9576 = -26(x - 2990) + 56444", "Expand: -23x + 125028 + 9576 = -26x + 77740 + 56444", "Combine constants: -23x + 134604 = -26x + 77740 + 56444", "Combine constants: -23x + 134604 = -26x + 134184", "Add 26x to both sides: 3x + 134604 = 134184", "Subtract 134604 from both sides: 3x = -420", "Divide both sides by 3: x = -140"], "final_answer": "-140", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23(x - 5436) + 9576 = -26(x - 2990) + 56444", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 5436, \"c\": 9576, \"d\": -26, \"e\": 2990, \"g\": 56444, \"x\": -140}", "seed": "15184567838670887649", "semantic_fingerprint": "sha256:c7fc3766b46731f96c16cad4f22bc8085275c40b67ed35db94e00bbe7b71f1bd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006840", "prompt": "What value of x satisfies x + 4287 = 4222?", "solution_steps": ["Subtract 4287 from both sides: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4287 = 4222", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4287, \"c\": 4222, \"x\": -65}", "seed": "7583572459603066975", "semantic_fingerprint": "sha256:aa98b8b87af239a931bae25980942dce19e4eec1e699bab818242e2ced00533b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006841", "prompt": "Solve for x: x - 8571 = -22x - 11538", "solution_steps": ["Add 22x to both sides: 23x - 8571 = -11538", "Add 8571 to both sides: 23x = -2967", "Divide both sides by 23: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8571 = -22x - 11538", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8571, \"b\": -22, \"d\": -11538, \"x\": -129}", "seed": "12840927554657752722", "semantic_fingerprint": "sha256:c9281b81db9da0187b5092a85035c970df2e08f17fe11d0efed654710dfbed8e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006842", "prompt": "Calculate: 77360 - (7150 + 7179)", "solution_steps": ["Add: 7150 + 7179 = 14329", "Subtract: 77360 - 14329 = 63031"], "final_answer": "63031", "answer_type": "integer", "kind": "expression", "math_text": "77360 - (7150 + 7179)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77360, \"b\": 7150, \"c\": 7179}", "seed": "10379506242891711592", "semantic_fingerprint": "sha256:8503fe5463483e6889ca37f9e332a4b7e70b000ffd727d9a48131914df3ed6b7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006843", "prompt": "Compute: (-9942 + (8238 - (22175 - (-9068)))) * (-84893 - (-5565))", "solution_steps": ["Subtract: 22175 - (-9068) = 31243", "Subtract: 8238 - 31243 = -23005", "Add: -9942 + (-23005) = -32947", "Subtract: -84893 - (-5565) = -79328", "Multiply: -32947 * (-79328) = 2613619616"], "final_answer": "2613619616", "answer_type": "integer", "kind": "expression", "math_text": "(-9942 + (8238 - (22175 - (-9068)))) * (-84893 - (-5565))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9942, \"b\": 8238, \"c\": 22175, \"d\": -9068, \"e\": -84893, \"f\": -5565}", "seed": "17884507071194254809", "semantic_fingerprint": "sha256:a2a8228e713498a55b466722632dbaf25e5d532fe370778fee937c39041f5a62", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006844", "prompt": "Solve for x: 25(x - 70360) - 73622 = 21(x + 2568) + 1879", "solution_steps": ["Expand: 25x - 1759000 - 73622 = 21(x + 2568) + 1879", "Expand: 25x - 1759000 - 73622 = 21x + 53928 + 1879", "Combine constants: 25x - 1832622 = 21x + 53928 + 1879", "Combine constants: 25x - 1832622 = 21x + 55807", "Subtract 21x from both sides: 4x - 1832622 = 55807", "Add 1832622 to both sides: 4x = 1888429", "Divide both sides by 4: x = 1888429/4"], "final_answer": "1888429/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 70360) - 73622 = 21(x + 2568) + 1879", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 70360, \"c\": 73622, \"d\": 21, \"e\": 2568, \"f\": 1879}", "seed": "12389989248619451547", "semantic_fingerprint": "sha256:b39866e913548d7c3e0298da1088a0f587e0dc4e58fada14bd2f843b98c1721b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006845", "prompt": "Solve the equation 34(x + 6308) + 9705 = 17x for x.", "solution_steps": ["Expand: 34x + 214472 + 9705 = 17x", "Combine constants: 34x + 224177 = 17x", "Subtract 17x from both sides: 17x + 224177 = 0", "Subtract 224177 from both sides: 17x = -224177", "Divide both sides by 17: x = -224177/17"], "final_answer": "-224177/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 6308) + 9705 = 17x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6308, \"c\": 9705, \"d\": 17}", "seed": "10259824307089552589", "semantic_fingerprint": "sha256:98ad80ccd2942f5d834e904535ddb04f3c0c8d9d95de81f148b4ad428d88474f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006846", "prompt": "Calculate: (9124 - 71903 + 92926) / (-6851)", "solution_steps": ["Subtract: 9124 - 71903 = -62779", "Add: -62779 + 92926 = 30147", "Divide: 30147 / (-6851) = -2319/527"], "final_answer": "-2319/527", "answer_type": "rational", "kind": "expression", "math_text": "(9124 - 71903 + 92926) / (-6851)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9124, \"b\": 71903, \"c\": 92926, \"d\": -6851}", "seed": "16291621777984750820", "semantic_fingerprint": "sha256:6b4312af588df0ab0d95632b210873e4fbcde6b67d9bb0c1f19de77486a5de47", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006847", "prompt": "Evaluate: -5067 - (-4763 / (-94365) + 75176)", "solution_steps": ["Divide: -4763 / (-94365) = 4763/94365", "Add: 4763/94365 + 75176 = 7093988003/94365", "Subtract: -5067 - 7093988003/94365 = -7572135458/94365"], "final_answer": "-7572135458/94365", "answer_type": "rational", "kind": "expression", "math_text": "-5067 - (-4763 / (-94365) + 75176)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5067, \"b\": -4763, \"c\": -94365, \"d\": 75176}", "seed": "13224924882221439891", "semantic_fingerprint": "sha256:51c7c77585d37a77943628099d112a6fc453e230f9dcbb0b38b6d4baf89a81e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006848", "prompt": "What is 4044 + (-86137 - (-10139 - 4052))?", "solution_steps": ["Subtract: -10139 - 4052 = -14191", "Subtract: -86137 - (-14191) = -71946", "Add: 4044 + (-71946) = -67902"], "final_answer": "-67902", "answer_type": "integer", "kind": "expression", "math_text": "4044 + (-86137 - (-10139 - 4052))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4044, \"b\": -86137, \"c\": -10139, \"d\": 4052}", "seed": "14558628037106893640", "semantic_fingerprint": "sha256:18d4bfdf94f9f43e1cd546c993f603aa640a38996d16011ae1647253b284d681", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006849", "prompt": "What is 7133 - (-7112 * (-9787) - 99364 - 35639)?", "solution_steps": ["Multiply: -7112 * (-9787) = 69605144", "Subtract: 69605144 - 99364 = 69505780", "Subtract: 69505780 - 35639 = 69470141", "Subtract: 7133 - 69470141 = -69463008"], "final_answer": "-69463008", "answer_type": "integer", "kind": "expression", "math_text": "7133 - (-7112 * (-9787) - 99364 - 35639)", "variable": null, "family": "expression_4op", "shape": "(- n (- (- (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7133, \"b\": -7112, \"c\": -9787, \"d\": 99364, \"e\": 35639}", "seed": "17647882130739061774", "semantic_fingerprint": "sha256:00e9ec86ca16ccf0030f3713e4194efc835dd57172829155726cdcf2d4174d13", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006850", "prompt": "Evaluate: -6209 * (-7949)", "solution_steps": ["Multiply: -6209 * (-7949) = 49355341"], "final_answer": "49355341", "answer_type": "integer", "kind": "expression", "math_text": "-6209 * (-7949)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6209, \"b\": -7949}", "seed": "3636783599959127863", "semantic_fingerprint": "sha256:c4723e369e1be844904579b75b5e8161f2ba1ba2479f6ca0371ea93314b6bd0f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006851", "prompt": "Find x: x = 18(x + 2583)", "solution_steps": ["Expand: x = 18x + 46494", "Subtract 18x from both sides: -17x = 46494", "Divide both sides by -17: x = -46494/17"], "final_answer": "-46494/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 18(x + 2583)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2583}", "seed": "11387832387965463357", "semantic_fingerprint": "sha256:deb5ff22d50a1b9e93d295ff86f27bb4db03d7f0467e283f589528293341e1d4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006852", "prompt": "Find x: 35x + 5413 = 19x + 8549", "solution_steps": ["Subtract 19x from both sides: 16x + 5413 = 8549", "Subtract 5413 from both sides: 16x = 3136", "Divide both sides by 16: x = 196"], "final_answer": "196", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 5413 = 19x + 8549", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 5413, \"c\": 19, \"e\": 8549, \"x\": 196}", "seed": "5926130523010866851", "semantic_fingerprint": "sha256:3c6f4b13d1fb2e306a3c14cb058942f39ba37d79ba996c1c2f92dd54060082ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006853", "prompt": "Compute: 9497 * (-8089) * (-7779)", "solution_steps": ["Multiply: 9497 * (-8089) = -76821233", "Multiply: -76821233 * (-7779) = 597592371507"], "final_answer": "597592371507", "answer_type": "integer", "kind": "expression", "math_text": "9497 * (-8089) * (-7779)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9497, \"b\": -8089, \"c\": -7779}", "seed": "3272585688358054678", "semantic_fingerprint": "sha256:9cab06c5814356de708eb6fa7cea64f08bf55f02bf8f5f09c4e62424c694115f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006854", "prompt": "Compute: -9361 / 72361 * (-6272) + 65271", "solution_steps": ["Divide: -9361 / 72361 = -9361/72361", "Multiply: (-9361/72361) * (-6272) = 58712192/72361", "Add: 58712192/72361 + 65271 = 4781787023/72361"], "final_answer": "4781787023/72361", "answer_type": "rational", "kind": "expression", "math_text": "-9361 / 72361 * (-6272) + 65271", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9361, \"b\": 72361, \"c\": -6272, \"d\": 65271}", "seed": "16855406779374274167", "semantic_fingerprint": "sha256:f08b9ea5e54f6576387e381690ef6bb765343156ad3cb813f571aff9bd1d9a27", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006855", "prompt": "Calculate: 1627 - (-8495 + 59752 + 2752)", "solution_steps": ["Add: -8495 + 59752 = 51257", "Add: 51257 + 2752 = 54009", "Subtract: 1627 - 54009 = -52382"], "final_answer": "-52382", "answer_type": "integer", "kind": "expression", "math_text": "1627 - (-8495 + 59752 + 2752)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1627, \"b\": -8495, \"c\": 59752, \"d\": 2752}", "seed": "957980466419864980", "semantic_fingerprint": "sha256:2d06dcdabdbade40a1577e4b281b3ca04a7f8ae5551daaf85e2134c441e13abf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006856", "prompt": "Evaluate: (36485 + 30057) / 55351", "solution_steps": ["Add: 36485 + 30057 = 66542", "Divide: 66542 / 55351 = 66542/55351"], "final_answer": "66542/55351", "answer_type": "rational", "kind": "expression", "math_text": "(36485 + 30057) / 55351", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36485, \"b\": 30057, \"c\": 55351}", "seed": "6191057745620600477", "semantic_fingerprint": "sha256:401aa214995849c1dfdf861f358afb1ba12bb4b843f1cb6e181c55cd6da161f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006857", "prompt": "Compute: (7100 - (3661 - (-56498))) * ((-58110 - 3393) / 60397)", "solution_steps": ["Subtract: 3661 - (-56498) = 60159", "Subtract: 7100 - 60159 = -53059", "Subtract: -58110 - 3393 = -61503", "Divide: -61503 / 60397 = -61503/60397", "Multiply: -53059 * (-61503/60397) = 3263287677/60397"], "final_answer": "3263287677/60397", "answer_type": "rational", "kind": "expression", "math_text": "(7100 - (3661 - (-56498))) * ((-58110 - 3393) / 60397)", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7100, \"b\": 3661, \"c\": -56498, \"d\": -58110, \"e\": 3393, \"f\": 60397}", "seed": "15995754074419198903", "semantic_fingerprint": "sha256:2dfcb495af0045ad0a587ef3d4f5d1ff3390e5d27e15f1ba49e7217dbcb85a44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006858", "prompt": "Find x: 22x + 3360 = x", "solution_steps": ["Subtract x from both sides: 21x + 3360 = 0", "Subtract 3360 from both sides: 21x = -3360", "Divide both sides by 21: x = -160"], "final_answer": "-160", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 3360 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 3360, \"x\": -160}", "seed": "12403580419375202976", "semantic_fingerprint": "sha256:580abe8019ab0368cc11cccb1e60bbc1e77c301964477464d94cc4c766fd3727", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006859", "prompt": "What value of x satisfies 23x + 7915 = 24x + 7568?", "solution_steps": ["Subtract 24x from both sides: -x + 7915 = 7568", "Subtract 7915 from both sides: -x = -347", "Divide both sides by -1: x = 347"], "final_answer": "347", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 7915 = 24x + 7568", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 7915, \"c\": 24, \"d\": 7568}", "seed": "3671713467480240733", "semantic_fingerprint": "sha256:b7101054d3167789cc98aa21d467f1e69d9f57bdad4eafa6678a5404bf7e2415", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006860", "prompt": "Compute: -6063 * (-31140) / (1245 - (-12298 + (-2798)))", "solution_steps": ["Multiply: -6063 * (-31140) = 188801820", "Add: -12298 + (-2798) = -15096", "Subtract: 1245 - (-15096) = 16341", "Divide: 188801820 / 16341 = 62933940/5447"], "final_answer": "62933940/5447", "answer_type": "rational", "kind": "expression", "math_text": "-6063 * (-31140) / (1245 - (-12298 + (-2798)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6063, \"b\": -31140, \"c\": 1245, \"d\": -12298, \"e\": -2798}", "seed": "9627799850932793116", "semantic_fingerprint": "sha256:8e7d8d36b043eca0e3d459568166b8e42be205d6e6442c580dc70ddc9b4bd53f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006861", "prompt": "Compute: -3933 * (-1602) + (-76226)", "solution_steps": ["Multiply: -3933 * (-1602) = 6300666", "Add: 6300666 + (-76226) = 6224440"], "final_answer": "6224440", "answer_type": "integer", "kind": "expression", "math_text": "-3933 * (-1602) + (-76226)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3933, \"b\": -1602, \"c\": -76226}", "seed": "2441850331693927836", "semantic_fingerprint": "sha256:f41190730edd50aec4fcaf6922a8b8f42ce0cb669470622932c0028157acc7d7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006862", "prompt": "Solve for x: -19(x - 7642) = 40(x + 9972)", "solution_steps": ["Expand: -19x + 145198 = 40(x + 9972)", "Expand: -19x + 145198 = 40x + 398880", "Subtract 40x from both sides: -59x + 145198 = 398880", "Subtract 145198 from both sides: -59x = 253682", "Divide both sides by -59: x = -253682/59"], "final_answer": "-253682/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 7642) = 40(x + 9972)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 7642, \"c\": 40, \"d\": 9972}", "seed": "16793695153978910235", "semantic_fingerprint": "sha256:6077c47bfb4f97d5d57aa85256bfe88cb9fcdf1c150a67af5de246ae30eddf5f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006863", "prompt": "What is -28767 - (86425 - 2408) + (-99644)?", "solution_steps": ["Subtract: 86425 - 2408 = 84017", "Subtract: -28767 - 84017 = -112784", "Add: -112784 + (-99644) = -212428"], "final_answer": "-212428", "answer_type": "integer", "kind": "expression", "math_text": "-28767 - (86425 - 2408) + (-99644)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28767, \"b\": 86425, \"c\": 2408, \"d\": -99644}", "seed": "10498713181963174859", "semantic_fingerprint": "sha256:dbb96b0d6fd51d8e132d7462f97b67a7493d3a5fe99fbf6def41b6d8149b1d25", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006864", "prompt": "Solve the equation 22x = 35(x - 2985) for x.", "solution_steps": ["Expand: 22x = 35x - 104475", "Subtract 35x from both sides: -13x = -104475", "Divide both sides by -13: x = 104475/13"], "final_answer": "104475/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x = 35(x - 2985)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 35, \"c\": 2985}", "seed": "9811917881871165139", "semantic_fingerprint": "sha256:6636685a9c4c092eb70343a377c7b39881ad332bb54222fbbb8b19880e7cbdf7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006865", "prompt": "Solve for x: 33(x + 9436) = -40(x - 8640) - 48520", "solution_steps": ["Expand: 33x + 311388 = -40(x - 8640) - 48520", "Expand: 33x + 311388 = -40x + 345600 - 48520", "Combine constants: 33x + 311388 = -40x + 297080", "Add 40x to both sides: 73x + 311388 = 297080", "Subtract 311388 from both sides: 73x = -14308", "Divide both sides by 73: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x + 9436) = -40(x - 8640) - 48520", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 9436, \"c\": -40, \"d\": 8640, \"f\": -48520, \"x\": -196}", "seed": "5059968042914675776", "semantic_fingerprint": "sha256:7db71662378bf6440dca91005db45807dce4e00f9a54108b578c6a278fbd49e2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006866", "prompt": "What value of x satisfies 22x = x + 2751?", "solution_steps": ["Subtract x from both sides: 21x = 2751", "Divide both sides by 21: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x = x + 2751", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 2751, \"x\": 131}", "seed": "14732604980674549615", "semantic_fingerprint": "sha256:23ec1ae541ec53248936e58eb9712df56f965b580ff158a8eadcb4320258e7be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006867", "prompt": "Solve the equation x = 29(x - 1407) + 43491 for x.", "solution_steps": ["Expand: x = 29x - 40803 + 43491", "Combine constants: x = 29x + 2688", "Subtract 29x from both sides: -28x = 2688", "Divide both sides by -28: x = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 29(x - 1407) + 43491", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1407, \"d\": 43491, \"x\": -96}", "seed": "17434928594735633722", "semantic_fingerprint": "sha256:dc3f5accb31f3b2ee22cdc48df87d74136777c51fb82b09c23a1bbfdd197e608", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006868", "prompt": "Find x: -37x = x + 8678", "solution_steps": ["Subtract x from both sides: -38x = 8678", "Divide both sides by -38: x = -4339/19"], "final_answer": "-4339/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37x = x + 8678", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 8678}", "seed": "6231713121008652277", "semantic_fingerprint": "sha256:4a932f6c76e1b0bba3ad9358bb39305e00e156e0941935c9f37ce6e38bd23bf7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006869", "prompt": "What is 1381 / (-79010 - (-6622))?", "solution_steps": ["Subtract: -79010 - (-6622) = -72388", "Divide: 1381 / (-72388) = -1381/72388"], "final_answer": "-1381/72388", "answer_type": "rational", "kind": "expression", "math_text": "1381 / (-79010 - (-6622))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1381, \"b\": -79010, \"c\": -6622}", "seed": "3148163438473758330", "semantic_fingerprint": "sha256:afde8f24ca2854c8a24b9cc6ff5d86b28aeb50baedce230d05c75e69a104ee1e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006870", "prompt": "What value of x satisfies -26(x + 5678) + 89613 = -21(x + 2745)?", "solution_steps": ["Expand: -26x - 147628 + 89613 = -21(x + 2745)", "Expand: -26x - 147628 + 89613 = -21x - 57645", "Combine constants: -26x - 58015 = -21x - 57645", "Add 21x to both sides: -5x - 58015 = -57645", "Add 58015 to both sides: -5x = 370", "Divide both sides by -5: x = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26(x + 5678) + 89613 = -21(x + 2745)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 5678, \"c\": -21, \"d\": 2745, \"f\": 89613, \"x\": -74}", "seed": "5613750488877831291", "semantic_fingerprint": "sha256:89847766b9ac27bdd2d198b84d60badb32ace1f0edf74225700692529d82406e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006871", "prompt": "Evaluate: -1216 - (-1147) - 5879 + (-6280) / 5203", "solution_steps": ["Subtract: -1216 - (-1147) = -69", "Subtract: -69 - 5879 = -5948", "Divide: -6280 / 5203 = -6280/5203", "Add: -5948 + (-6280/5203) = -30953724/5203"], "final_answer": "-30953724/5203", "answer_type": "rational", "kind": "expression", "math_text": "-1216 - (-1147) - 5879 + (-6280) / 5203", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1216, \"b\": -1147, \"c\": 5879, \"d\": -6280, \"e\": 5203}", "seed": "11403948281930820686", "semantic_fingerprint": "sha256:d3cb5bd628037c3b37d6c4f717c49d94a2466ac711307680b7a83b7931e2cfd2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006872", "prompt": "Compute: -44555 * (-5430 + (-9187))", "solution_steps": ["Add: -5430 + (-9187) = -14617", "Multiply: -44555 * (-14617) = 651260435"], "final_answer": "651260435", "answer_type": "integer", "kind": "expression", "math_text": "-44555 * (-5430 + (-9187))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44555, \"b\": -5430, \"c\": -9187}", "seed": "456744230348529373", "semantic_fingerprint": "sha256:4415f1119a052857d80d4d2202a5d064ed746b8ed70deff6f6a51e53ca321afd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006873", "prompt": "Evaluate: -58522 * (-40353) + (-85723)", "solution_steps": ["Multiply: -58522 * (-40353) = 2361538266", "Add: 2361538266 + (-85723) = 2361452543"], "final_answer": "2361452543", "answer_type": "integer", "kind": "expression", "math_text": "-58522 * (-40353) + (-85723)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58522, \"b\": -40353, \"c\": -85723}", "seed": "3647363333373599020", "semantic_fingerprint": "sha256:65027d065708ec8f4a18a7e255e3d2368f93f8961b04e04536f889d8e0878654", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006874", "prompt": "Calculate: 49827 / (9765 + 38322)", "solution_steps": ["Add: 9765 + 38322 = 48087", "Divide: 49827 / 48087 = 16609/16029"], "final_answer": "16609/16029", "answer_type": "rational", "kind": "expression", "math_text": "49827 / (9765 + 38322)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49827, \"b\": 9765, \"c\": 38322}", "seed": "16879849153855161144", "semantic_fingerprint": "sha256:a4898f5ca1bc20635f6b2c3f90358036ef63c1c9f75860a6ddb0b83b3dc8e010", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006875", "prompt": "What is -48497 / (8213 - (-5326))?", "solution_steps": ["Subtract: 8213 - (-5326) = 13539", "Divide: -48497 / 13539 = -48497/13539"], "final_answer": "-48497/13539", "answer_type": "rational", "kind": "expression", "math_text": "-48497 / (8213 - (-5326))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48497, \"b\": 8213, \"c\": -5326}", "seed": "9620204488109720086", "semantic_fingerprint": "sha256:d57275f489d343b0692e0cfff494ad32582a64ff2e166e65f5901909ef968542", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006876", "prompt": "Compute: 3599 + (82631 + (-5335))", "solution_steps": ["Add: 82631 + (-5335) = 77296", "Add: 3599 + 77296 = 80895"], "final_answer": "80895", "answer_type": "integer", "kind": "expression", "math_text": "3599 + (82631 + (-5335))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3599, \"b\": 82631, \"c\": -5335}", "seed": "14527120622840471202", "semantic_fingerprint": "sha256:8f99949f7e2ee2f3f354d78822bfa4a21d2a525edda2e895ccfc79c0d796aa9f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006877", "prompt": "What value of x satisfies 28(x - 92006) + 7721 = x + 8826?", "solution_steps": ["Expand: 28x - 2576168 + 7721 = x + 8826", "Combine constants: 28x - 2568447 = x + 8826", "Subtract x from both sides: 27x - 2568447 = 8826", "Add 2568447 to both sides: 27x = 2577273", "Divide both sides by 27: x = 859091/9"], "final_answer": "859091/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 92006) + 7721 = x + 8826", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 92006, \"c\": 7721, \"d\": 8826}", "seed": "1017475066352818918", "semantic_fingerprint": "sha256:8ba2e7c6157ebe97bd9e1762dcfd349e71d7510586fbf4b4831f728fb6f74dec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006878", "prompt": "What value of x satisfies x + 2141 = 30x - 2354?", "solution_steps": ["Subtract 30x from both sides: -29x + 2141 = -2354", "Subtract 2141 from both sides: -29x = -4495", "Divide both sides by -29: x = 155"], "final_answer": "155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2141 = 30x - 2354", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2141, \"b\": 30, \"d\": -2354, \"x\": 155}", "seed": "10325197577526385733", "semantic_fingerprint": "sha256:5de45aa540cbdf29aad4c0f06b70a1f44b5e52e50c0b66d875349da70bbc9b59", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006879", "prompt": "Calculate: 5505 / (89067 / (-2501))", "solution_steps": ["Divide: 89067 / (-2501) = -89067/2501", "Divide: 5505 / (-89067/2501) = -4589335/29689"], "final_answer": "-4589335/29689", "answer_type": "rational", "kind": "expression", "math_text": "5505 / (89067 / (-2501))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5505, \"b\": 89067, \"c\": -2501}", "seed": "8084580054022948548", "semantic_fingerprint": "sha256:d6ba1390beb8127f3076f213458d907b34ad1efbe4a02b271c772d6a634c73b4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006880", "prompt": "Evaluate: -49264 - (-53230 - (-47071)) / 89410", "solution_steps": ["Subtract: -53230 - (-47071) = -6159", "Divide: -6159 / 89410 = -6159/89410", "Subtract: -49264 - (-6159/89410) = -4404688081/89410"], "final_answer": "-4404688081/89410", "answer_type": "rational", "kind": "expression", "math_text": "-49264 - (-53230 - (-47071)) / 89410", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -49264, \"b\": -53230, \"c\": -47071, \"d\": 89410}", "seed": "16055899959289748431", "semantic_fingerprint": "sha256:e6cc30927de4eb0b41cf12f815e6e319ab4630ae06283e3e99b9d1b1cb0e7411", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006881", "prompt": "Calculate: (-59765 * 39757 - (-2949)) / 2739 - 8843", "solution_steps": ["Multiply: -59765 * 39757 = -2376077105", "Subtract: -2376077105 - (-2949) = -2376074156", "Divide: -2376074156 / 2739 = -2376074156/2739", "Subtract: -2376074156/2739 - 8843 = -2400295133/2739"], "final_answer": "-2400295133/2739", "answer_type": "rational", "kind": "expression", "math_text": "(-59765 * 39757 - (-2949)) / 2739 - 8843", "variable": null, "family": "expression_4op", "shape": "(- (/ (- (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -59765, \"b\": 39757, \"c\": -2949, \"d\": 2739, \"e\": 8843}", "seed": "2324755375646032676", "semantic_fingerprint": "sha256:ee94da87cd00f9c3f4ff094a68c58859bd10ea938448eb50d6384f74b44ebf65", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006882", "prompt": "What value of x satisfies x + 1415 = 24(x - 68943) - 58577?", "solution_steps": ["Expand: x + 1415 = 24x - 1654632 - 58577", "Combine constants: x + 1415 = 24x - 1713209", "Subtract 24x from both sides: -23x + 1415 = -1713209", "Subtract 1415 from both sides: -23x = -1714624", "Divide both sides by -23: x = 1714624/23"], "final_answer": "1714624/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1415 = 24(x - 68943) - 58577", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1415, \"b\": 24, \"c\": 68943, \"d\": 58577}", "seed": "1121513130716048446", "semantic_fingerprint": "sha256:d4c39f7acc44558c74cc28de3c3d1e43f150e0b57e01e87fb38152b82c47d63f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006883", "prompt": "Evaluate: 1431 + (-5206 - (-1885))", "solution_steps": ["Subtract: -5206 - (-1885) = -3321", "Add: 1431 + (-3321) = -1890"], "final_answer": "-1890", "answer_type": "integer", "kind": "expression", "math_text": "1431 + (-5206 - (-1885))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1431, \"b\": -5206, \"c\": -1885}", "seed": "10207137130421787213", "semantic_fingerprint": "sha256:ddb66781e18f8f38471339ad95b16ffbebe21f24b06d586f0bfb46dd346d3da6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006884", "prompt": "Evaluate: 86427 - (83858 / (-8038) - 9592)", "solution_steps": ["Divide: 83858 / (-8038) = -41929/4019", "Subtract: -41929/4019 - 9592 = -38592177/4019", "Subtract: 86427 - (-38592177/4019) = 385942290/4019"], "final_answer": "385942290/4019", "answer_type": "rational", "kind": "expression", "math_text": "86427 - (83858 / (-8038) - 9592)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86427, \"b\": 83858, \"c\": -8038, \"d\": 9592}", "seed": "10339731793109163496", "semantic_fingerprint": "sha256:99c509e7e9d51ffcc4c8ed42ea97e82e5b3545be6384d1ef0385ea83fc9d1c92", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006885", "prompt": "What is 32859 * (3932 / (-7050)) * (-1484)?", "solution_steps": ["Divide: 3932 / (-7050) = -1966/3525", "Multiply: 32859 * (-1966/3525) = -21533598/1175", "Multiply: (-21533598/1175) * (-1484) = 31955859432/1175"], "final_answer": "31955859432/1175", "answer_type": "rational", "kind": "expression", "math_text": "32859 * (3932 / (-7050)) * (-1484)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32859, \"b\": 3932, \"c\": -7050, \"d\": -1484}", "seed": "17838794638365686369", "semantic_fingerprint": "sha256:e96b1af222589a78f0aac05f5f4a6ce20906bb36115b5a47be47ab1492e2246d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006886", "prompt": "What is 8148 / (-7220)?", "solution_steps": ["Divide: 8148 / (-7220) = -2037/1805"], "final_answer": "-2037/1805", "answer_type": "rational", "kind": "expression", "math_text": "8148 / (-7220)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8148, \"b\": -7220}", "seed": "17557796781511548814", "semantic_fingerprint": "sha256:ba20b7a8c311d556c69c3991d362d08852e6b04a68390f8daf74ec6870eeaa1c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006887", "prompt": "What value of x satisfies x - 7775 = 30x - 8935?", "solution_steps": ["Subtract 30x from both sides: -29x - 7775 = -8935", "Add 7775 to both sides: -29x = -1160", "Divide both sides by -29: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7775 = 30x - 8935", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7775, \"b\": 30, \"d\": -8935, \"x\": 40}", "seed": "2646555447200780610", "semantic_fingerprint": "sha256:3295fd9efe6a73a5629aef735445487f6e14abf96e17480dc9fafe7740336ce6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006888", "prompt": "Compute: 16633 * (-10841 / (-5671))", "solution_steps": ["Divide: -10841 / (-5671) = 10841/5671", "Multiply: 16633 * (10841/5671) = 180318353/5671"], "final_answer": "180318353/5671", "answer_type": "rational", "kind": "expression", "math_text": "16633 * (-10841 / (-5671))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16633, \"b\": -10841, \"c\": -5671}", "seed": "13115404197817110066", "semantic_fingerprint": "sha256:f7ca679e250c6897487704421e0023be492fdea72a5b8981876000be39ca1df3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006889", "prompt": "Find x: 33(x - 3319) + 6133 = -98081", "solution_steps": ["Expand: 33x - 109527 + 6133 = -98081", "Combine constants: 33x - 103394 = -98081", "Add 103394 to both sides: 33x = 5313", "Divide both sides by 33: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 3319) + 6133 = -98081", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3319, \"c\": 6133, \"e\": -98081, \"x\": 161}", "seed": "8148981870618855678", "semantic_fingerprint": "sha256:660603616288d864df4511eacd8428647774aff09b85f0e5cd479ca007c255d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006890", "prompt": "Solve the equation 13x - 1761 = -59764 for x.", "solution_steps": ["Add 1761 to both sides: 13x = -58003", "Divide both sides by 13: x = -58003/13"], "final_answer": "-58003/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x - 1761 = -59764", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 1761, \"c\": -59764}", "seed": "2785516267096191172", "semantic_fingerprint": "sha256:4a58997cfffade5504e3d2c24f448a84db79a5b4e344df241ff0af42af5666c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006891", "prompt": "Evaluate: 45636 * ((6019 - 9110) * 1129)", "solution_steps": ["Subtract: 6019 - 9110 = -3091", "Multiply: -3091 * 1129 = -3489739", "Multiply: 45636 * (-3489739) = -159257729004"], "final_answer": "-159257729004", "answer_type": "integer", "kind": "expression", "math_text": "45636 * ((6019 - 9110) * 1129)", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 45636, \"b\": 6019, \"c\": 9110, \"d\": 1129}", "seed": "11033165815051388549", "semantic_fingerprint": "sha256:4d2c240f1ad5732b3da137e2c628a3eb5ffbe12037b17b807f219bbaa9558dba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006892", "prompt": "Compute: -3370 - (-5585)", "solution_steps": ["Subtract: -3370 - (-5585) = 2215"], "final_answer": "2215", "answer_type": "integer", "kind": "expression", "math_text": "-3370 - (-5585)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3370, \"b\": -5585}", "seed": "3368941344637199531", "semantic_fingerprint": "sha256:02358de0cd5e4507f19ad599d8c4cc1284a63a8b01defb44bc458b94cf5d2400", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006893", "prompt": "What value of x satisfies 14x - 3125 = 27x + 7033?", "solution_steps": ["Subtract 27x from both sides: -13x - 3125 = 7033", "Add 3125 to both sides: -13x = 10158", "Divide both sides by -13: x = -10158/13"], "final_answer": "-10158/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x - 3125 = 27x + 7033", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3125, \"c\": 27, \"d\": 7033}", "seed": "4342695679213355323", "semantic_fingerprint": "sha256:be3a07659a716725fc3ee1e6451a69531dff1e4758093e611829c9cc71374c1a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006894", "prompt": "Find x: x + 39079 = -34x + 32429", "solution_steps": ["Add 34x to both sides: 35x + 39079 = 32429", "Subtract 39079 from both sides: 35x = -6650", "Divide both sides by 35: x = -190"], "final_answer": "-190", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 39079 = -34x + 32429", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39079, \"b\": -34, \"d\": 32429, \"x\": -190}", "seed": "2625072697476821415", "semantic_fingerprint": "sha256:04437c3ffc1595e0d4abc65534ab221d7f6ca3f74665c267439d24c4501dd4e0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006895", "prompt": "Solve for x: 14x - 8126 = x - 10180", "solution_steps": ["Subtract x from both sides: 13x - 8126 = -10180", "Add 8126 to both sides: 13x = -2054", "Divide both sides by 13: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 8126 = x - 10180", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 8126, \"d\": -10180, \"x\": -158}", "seed": "6285789852391307144", "semantic_fingerprint": "sha256:adca3b02358980835ac02bc6426b552f95622754939f547de3cbbde8a348585e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006896", "prompt": "Solve for x: -40(x - 51171) = x", "solution_steps": ["Expand: -40x + 2046840 = x", "Subtract x from both sides: -41x + 2046840 = 0", "Subtract 2046840 from both sides: -41x = -2046840", "Divide both sides by -41: x = 2046840/41"], "final_answer": "2046840/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 51171) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 51171}", "seed": "13450202197459489202", "semantic_fingerprint": "sha256:4555c8ddb8688ab0c21fee441878114524da4d95e9231196f56b8e9461bf60e4", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006897", "prompt": "What value of x satisfies -14x = 15(x - 92742)?", "solution_steps": ["Expand: -14x = 15x - 1391130", "Subtract 15x from both sides: -29x = -1391130", "Divide both sides by -29: x = 47970"], "final_answer": "47970", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x = 15(x - 92742)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 15, \"c\": 92742}", "seed": "6937546282074192926", "semantic_fingerprint": "sha256:bd218dc85801991ccbc3cbab973a1087220b678a09b4be85e9f8803f1ceeb815", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006898", "prompt": "What is -39673 / (-7617)?", "solution_steps": ["Divide: -39673 / (-7617) = 39673/7617"], "final_answer": "39673/7617", "answer_type": "rational", "kind": "expression", "math_text": "-39673 / (-7617)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39673, \"b\": -7617}", "seed": "10576254823703739758", "semantic_fingerprint": "sha256:a24fe50a9fd07e916b9aab6c6526406877ab40ecbdc16231fb39884900fe9aa2", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006899", "prompt": "Calculate: -3946 + 87275 + (-2173)", "solution_steps": ["Add: -3946 + 87275 = 83329", "Add: 83329 + (-2173) = 81156"], "final_answer": "81156", "answer_type": "integer", "kind": "expression", "math_text": "-3946 + 87275 + (-2173)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3946, \"b\": 87275, \"c\": -2173}", "seed": "3598173488722400989", "semantic_fingerprint": "sha256:384ebe7600b426937543d78ac32880f7248995e38d4f61543cf14370bdc8b438", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006900", "prompt": "What is -9740 / 6207?", "solution_steps": ["Divide: -9740 / 6207 = -9740/6207"], "final_answer": "-9740/6207", "answer_type": "rational", "kind": "expression", "math_text": "-9740 / 6207", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9740, \"b\": 6207}", "seed": "10137695849495278302", "semantic_fingerprint": "sha256:26ab54237821c15b1153fd016bf994bd25e00a8f103fc26f9105455cf8c75096", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006901", "prompt": "What is (-46736 - (-4762 * (-1613) + 1606)) * (-21514)?", "solution_steps": ["Multiply: -4762 * (-1613) = 7681106", "Add: 7681106 + 1606 = 7682712", "Subtract: -46736 - 7682712 = -7729448", "Multiply: -7729448 * (-21514) = 166291344272"], "final_answer": "166291344272", "answer_type": "integer", "kind": "expression", "math_text": "(-46736 - (-4762 * (-1613) + 1606)) * (-21514)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -46736, \"b\": -4762, \"c\": -1613, \"d\": 1606, \"e\": -21514}", "seed": "5745535369707690127", "semantic_fingerprint": "sha256:0128eaed4c5baf6a0a3b2f2729f5a7de30479ff8e9f7b311fc99630009d9903e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006902", "prompt": "Calculate: -1676 + (-62513) - (-3780)", "solution_steps": ["Add: -1676 + (-62513) = -64189", "Subtract: -64189 - (-3780) = -60409"], "final_answer": "-60409", "answer_type": "integer", "kind": "expression", "math_text": "-1676 + (-62513) - (-3780)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1676, \"b\": -62513, \"c\": -3780}", "seed": "14224926753987518254", "semantic_fingerprint": "sha256:0f621ab1ee62f5439ae02136017bf77a1a99d1cd506958e1716fb3d635ac27d9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006903", "prompt": "Compute: (-16702 - 5282) / (-61975)", "solution_steps": ["Subtract: -16702 - 5282 = -21984", "Divide: -21984 / (-61975) = 21984/61975"], "final_answer": "21984/61975", "answer_type": "rational", "kind": "expression", "math_text": "(-16702 - 5282) / (-61975)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16702, \"b\": 5282, \"c\": -61975}", "seed": "3072911782967984897", "semantic_fingerprint": "sha256:f8c23a1baa80eb7d17edcbd887ff340060d6961427dff1603fdfdeb7b54e45b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006904", "prompt": "Solve the equation -24x + 89544 = 35x + 96978 for x.", "solution_steps": ["Subtract 35x from both sides: -59x + 89544 = 96978", "Subtract 89544 from both sides: -59x = 7434", "Divide both sides by -59: x = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x + 89544 = 35x + 96978", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 89544, \"c\": 35, \"e\": 96978, \"x\": -126}", "seed": "13899025361282036503", "semantic_fingerprint": "sha256:42bedf504c408147d61fbe4aea74e9bab83862616ddf44883e3100439db23389", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006905", "prompt": "Solve for x: -13(x + 2292) = -20x + 25057", "solution_steps": ["Expand: -13x - 29796 = -20x + 25057", "Add 20x to both sides: 7x - 29796 = 25057", "Add 29796 to both sides: 7x = 54853", "Divide both sides by 7: x = 54853/7"], "final_answer": "54853/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 2292) = -20x + 25057", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 2292, \"c\": -20, \"d\": 25057}", "seed": "11289885335585262391", "semantic_fingerprint": "sha256:a717930bc1fdc7f250522420b4d92b47ee91386163b011b56d9f5bb3a81eb59b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006906", "prompt": "What is -9361 + (-2322 + (-97172))?", "solution_steps": ["Add: -2322 + (-97172) = -99494", "Add: -9361 + (-99494) = -108855"], "final_answer": "-108855", "answer_type": "integer", "kind": "expression", "math_text": "-9361 + (-2322 + (-97172))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9361, \"b\": -2322, \"c\": -97172}", "seed": "1783902695866270320", "semantic_fingerprint": "sha256:2a9b3c2ac9dbcfb5baf92d48ebefa58179291a7321ce2c2f7c9f809dc4a490ba", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006907", "prompt": "Compute: -8978 / (-9922 / (-7067)) + (-6060) - (-7180 + (-38407))", "solution_steps": ["Divide: -9922 / (-7067) = 9922/7067", "Divide: -8978 / (9922/7067) = -31723763/4961", "Add: -31723763/4961 + (-6060) = -61787423/4961", "Add: -7180 + (-38407) = -45587", "Subtract: -61787423/4961 - (-45587) = 164369684/4961"], "final_answer": "164369684/4961", "answer_type": "rational", "kind": "expression", "math_text": "-8978 / (-9922 / (-7067)) + (-6060) - (-7180 + (-38407))", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8978, \"b\": -9922, \"c\": -7067, \"d\": -6060, \"e\": -7180, \"f\": -38407}", "seed": "4041862121760416105", "semantic_fingerprint": "sha256:7ac835c1dde9b1f3f877d6032a29aa9dfeb7a5f40c787a62cfdd2482995b958b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006908", "prompt": "Evaluate: (79232 + 69338) / (2803 + (-7119) + (-69919)) + (-33083)", "solution_steps": ["Add: 79232 + 69338 = 148570", "Add: 2803 + (-7119) = -4316", "Add: -4316 + (-69919) = -74235", "Divide: 148570 / (-74235) = -29714/14847", "Add: -29714/14847 + (-33083) = -491213015/14847"], "final_answer": "-491213015/14847", "answer_type": "rational", "kind": "expression", "math_text": "(79232 + 69338) / (2803 + (-7119) + (-69919)) + (-33083)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (+ (+ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 79232, \"b\": 69338, \"c\": 2803, \"d\": -7119, \"e\": -69919, \"f\": -33083}", "seed": "8938037918062017998", "semantic_fingerprint": "sha256:cffd685a749ffb139c41987f6eeab040286d80f8310110a7d5f48a2dae5e4529", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006909", "prompt": "Compute: -6120 + (-96478)", "solution_steps": ["Add: -6120 + (-96478) = -102598"], "final_answer": "-102598", "answer_type": "integer", "kind": "expression", "math_text": "-6120 + (-96478)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6120, \"b\": -96478}", "seed": "2423529512153913964", "semantic_fingerprint": "sha256:7fca3a69dc8bb4a0239542dc2d582fd5ed591addf983ddc1d7323565653280df", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006910", "prompt": "What value of x satisfies -18x - 67281 = x - 47155?", "solution_steps": ["Subtract x from both sides: -19x - 67281 = -47155", "Add 67281 to both sides: -19x = 20126", "Divide both sides by -19: x = -20126/19"], "final_answer": "-20126/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x - 67281 = x - 47155", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 67281, \"c\": 47155}", "seed": "16260299247943670393", "semantic_fingerprint": "sha256:485776b68bef987655e27c8d2bc76466264d9642297762b95f0983c4127b299d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006911", "prompt": "What is 48426 / (-4144)?", "solution_steps": ["Divide: 48426 / (-4144) = -3459/296"], "final_answer": "-3459/296", "answer_type": "rational", "kind": "expression", "math_text": "48426 / (-4144)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48426, \"b\": -4144}", "seed": "9576657704637779263", "semantic_fingerprint": "sha256:dda2641852498d5c972b04883b20418514b329ec7a4ec6513114346dc372e17d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006912", "prompt": "Compute: 79123 + 4070 * 13502 / (-36615)", "solution_steps": ["Multiply: 4070 * 13502 = 54953140", "Divide: 54953140 / (-36615) = -10990628/7323", "Add: 79123 + (-10990628/7323) = 568427101/7323"], "final_answer": "568427101/7323", "answer_type": "rational", "kind": "expression", "math_text": "79123 + 4070 * 13502 / (-36615)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 79123, \"b\": 4070, \"c\": 13502, \"d\": -36615}", "seed": "5997785273719415276", "semantic_fingerprint": "sha256:ec10711ed18b728cd6906c00bb2127ef4624059ad8dbc5a03555aaf181ad08ca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006913", "prompt": "Solve for x: x + 3521 = -30(x - 1333)", "solution_steps": ["Expand: x + 3521 = -30x + 39990", "Add 30x to both sides: 31x + 3521 = 39990", "Subtract 3521 from both sides: 31x = 36469", "Divide both sides by 31: x = 36469/31"], "final_answer": "36469/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3521 = -30(x - 1333)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3521, \"b\": -30, \"c\": 1333}", "seed": "12014107509183236222", "semantic_fingerprint": "sha256:74e87147354e15827a407f88b3b1e64a0ca7b088fa7c77a35dcd7e934d0be72c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006914", "prompt": "Evaluate: -4916 - (-53212) + 19719", "solution_steps": ["Subtract: -4916 - (-53212) = 48296", "Add: 48296 + 19719 = 68015"], "final_answer": "68015", "answer_type": "integer", "kind": "expression", "math_text": "-4916 - (-53212) + 19719", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4916, \"b\": -53212, \"c\": 19719}", "seed": "7897655974876178930", "semantic_fingerprint": "sha256:df15be2b01e026c6944645e4b4af4b99b42564b1319259bcd33721b29641203c", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006915", "prompt": "Find x: 14(x - 1575) - 6885 = x - 28571", "solution_steps": ["Expand: 14x - 22050 - 6885 = x - 28571", "Combine constants: 14x - 28935 = x - 28571", "Subtract x from both sides: 13x - 28935 = -28571", "Add 28935 to both sides: 13x = 364", "Divide both sides by 13: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 1575) - 6885 = x - 28571", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1575, \"c\": 6885, \"e\": -28571, \"x\": 28}", "seed": "9250190274703737102", "semantic_fingerprint": "sha256:5a65d5158d6b529bd17078a92c80f1e96b8c91c5359cf52173215dd17e58dc44", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006916", "prompt": "Evaluate: -41656 * 88353 - (-9036)", "solution_steps": ["Multiply: -41656 * 88353 = -3680432568", "Subtract: -3680432568 - (-9036) = -3680423532"], "final_answer": "-3680423532", "answer_type": "integer", "kind": "expression", "math_text": "-41656 * 88353 - (-9036)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41656, \"b\": 88353, \"c\": -9036}", "seed": "1739059499410379124", "semantic_fingerprint": "sha256:30e99b537a1372411349242f7a5742507ef67cf1c6a0606c208993bff374e6b8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006917", "prompt": "Find x: 37x = 13x", "solution_steps": ["Subtract 13x from both sides: 24x = 0", "Divide both sides by 24: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = 13x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 13}", "seed": "7158282032654907632", "semantic_fingerprint": "sha256:6be97d621c62b6d89dece20165b25c242eb3ad5b1e352f3cd407c6983e67f503", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006918", "prompt": "Calculate: 48350 - (81315 + 2587)", "solution_steps": ["Add: 81315 + 2587 = 83902", "Subtract: 48350 - 83902 = -35552"], "final_answer": "-35552", "answer_type": "integer", "kind": "expression", "math_text": "48350 - (81315 + 2587)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48350, \"b\": 81315, \"c\": 2587}", "seed": "2089029221728870865", "semantic_fingerprint": "sha256:10c0dc6cea467a15e9f872a3287e9713fb337d17ccb3249ef9c4485f6bde1564", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006919", "prompt": "Calculate: -7905 / (-9231) * (-4409) * (53507 - 50382)", "solution_steps": ["Divide: -7905 / (-9231) = 155/181", "Multiply: (155/181) * (-4409) = -683395/181", "Subtract: 53507 - 50382 = 3125", "Multiply: (-683395/181) * 3125 = -2135609375/181"], "final_answer": "-2135609375/181", "answer_type": "rational", "kind": "expression", "math_text": "-7905 / (-9231) * (-4409) * (53507 - 50382)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7905, \"b\": -9231, \"c\": -4409, \"d\": 53507, \"e\": 50382}", "seed": "8680262252155146957", "semantic_fingerprint": "sha256:5fd3c5af4c8d6adaa985a2278dd780e31f7fa409adee4913bc40da8357f0a567", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006920", "prompt": "Solve for x: x - 3549 = 22x", "solution_steps": ["Subtract 22x from both sides: -21x - 3549 = 0", "Add 3549 to both sides: -21x = 3549", "Divide both sides by -21: x = -169"], "final_answer": "-169", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3549 = 22x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": -3549, \"x\": -169}", "seed": "2727343657452569198", "semantic_fingerprint": "sha256:3c46e9e1640ff0718524d1b04e5f5da01d22f7f122d415b45b1c5ace5a046b83", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006921", "prompt": "What value of x satisfies -25x + 8143 = 25x?", "solution_steps": ["Subtract 25x from both sides: -50x + 8143 = 0", "Subtract 8143 from both sides: -50x = -8143", "Divide both sides by -50: x = 8143/50"], "final_answer": "8143/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25x + 8143 = 25x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 8143, \"c\": 25}", "seed": "15078376734671482540", "semantic_fingerprint": "sha256:60c37eba6211267ce8b6c286fe0d66e6654c7a7a017ea92d2b8a875923def243", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006922", "prompt": "What is -35543 + (-3897)?", "solution_steps": ["Add: -35543 + (-3897) = -39440"], "final_answer": "-39440", "answer_type": "integer", "kind": "expression", "math_text": "-35543 + (-3897)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -35543, \"b\": -3897}", "seed": "16337244952078179284", "semantic_fingerprint": "sha256:908e133d00787235930d3bdd1b906421f07f1ce0d0649a04d4fd4192bc6779a9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006923", "prompt": "Calculate: -5983 * (-7523) - 2702 * (-7224)", "solution_steps": ["Multiply: -5983 * (-7523) = 45010109", "Multiply: 2702 * (-7224) = -19519248", "Subtract: 45010109 - (-19519248) = 64529357"], "final_answer": "64529357", "answer_type": "integer", "kind": "expression", "math_text": "-5983 * (-7523) - 2702 * (-7224)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5983, \"b\": -7523, \"c\": 2702, \"d\": -7224}", "seed": "2083168454739816245", "semantic_fingerprint": "sha256:2b070efb87373f1687b95c928032e013fd59f8bf01afc3fe3cad7372c1e35ef9", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006924", "prompt": "Evaluate: 27133 - (-48688)", "solution_steps": ["Subtract: 27133 - (-48688) = 75821"], "final_answer": "75821", "answer_type": "integer", "kind": "expression", "math_text": "27133 - (-48688)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 27133, \"b\": -48688}", "seed": "9575241573421265818", "semantic_fingerprint": "sha256:7f57469b50229e62ba7734a9de1f54d4ba42dae2841531687ec08bb4cbe23b26", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006925", "prompt": "What value of x satisfies x + 8600 = 21x + 5540?", "solution_steps": ["Subtract 21x from both sides: -20x + 8600 = 5540", "Subtract 8600 from both sides: -20x = -3060", "Divide both sides by -20: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8600 = 21x + 5540", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8600, \"b\": 21, \"d\": 5540, \"x\": 153}", "seed": "14032886478920367033", "semantic_fingerprint": "sha256:6df8ec6921d1c71fe908ffb60cbe0776dea698a0ed767983df6db3d0bd9e1987", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006926", "prompt": "What is 6641 - (6426 * 9682 / (-50251) + 69306)?", "solution_steps": ["Multiply: 6426 * 9682 = 62216532", "Divide: 62216532 / (-50251) = -62216532/50251", "Add: -62216532/50251 + 69306 = 3420479274/50251", "Subtract: 6641 - 3420479274/50251 = -3086762383/50251"], "final_answer": "-3086762383/50251", "answer_type": "rational", "kind": "expression", "math_text": "6641 - (6426 * 9682 / (-50251) + 69306)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6641, \"b\": 6426, \"c\": 9682, \"d\": -50251, \"e\": 69306}", "seed": "14510269335298902771", "semantic_fingerprint": "sha256:910f7a318ebcc5806d2ea69186c005883e143c11345e832614151fe1f25b7994", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006927", "prompt": "Compute: (-9145 - (-25373 + 3271)) * ((-2185 - 7561) * (-7611))", "solution_steps": ["Add: -25373 + 3271 = -22102", "Subtract: -9145 - (-22102) = 12957", "Subtract: -2185 - 7561 = -9746", "Multiply: -9746 * (-7611) = 74176806", "Multiply: 12957 * 74176806 = 961108875342"], "final_answer": "961108875342", "answer_type": "integer", "kind": "expression", "math_text": "(-9145 - (-25373 + 3271)) * ((-2185 - 7561) * (-7611))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9145, \"b\": -25373, \"c\": 3271, \"d\": -2185, \"e\": 7561, \"f\": -7611}", "seed": "2056465949330057343", "semantic_fingerprint": "sha256:d53251ef27092904a545474226b74b47eabdc76a2aa6e7ab58527d7cea940654", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006928", "prompt": "Solve the equation 14(x + 7990) - 25686 = x for x.", "solution_steps": ["Expand: 14x + 111860 - 25686 = x", "Combine constants: 14x + 86174 = x", "Subtract x from both sides: 13x + 86174 = 0", "Subtract 86174 from both sides: 13x = -86174", "Divide both sides by 13: x = -86174/13"], "final_answer": "-86174/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 7990) - 25686 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7990, \"c\": 25686}", "seed": "3069822746916274676", "semantic_fingerprint": "sha256:4cf6930f4820b150eff659dafe43192fa0d384a21b85f94298dcd9e893e1a1f3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006929", "prompt": "Compute: -5052 * 2217 + (-8918)", "solution_steps": ["Multiply: -5052 * 2217 = -11200284", "Add: -11200284 + (-8918) = -11209202"], "final_answer": "-11209202", "answer_type": "integer", "kind": "expression", "math_text": "-5052 * 2217 + (-8918)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5052, \"b\": 2217, \"c\": -8918}", "seed": "17398598086555241757", "semantic_fingerprint": "sha256:3d3f34d8263699a5fce040459bc8cac10018678e4d53f3831976b4ca70e84b71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006930", "prompt": "What value of x satisfies 26(x + 3706) = 33x + 95425?", "solution_steps": ["Expand: 26x + 96356 = 33x + 95425", "Subtract 33x from both sides: -7x + 96356 = 95425", "Subtract 96356 from both sides: -7x = -931", "Divide both sides by -7: x = 133"], "final_answer": "133", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x + 3706) = 33x + 95425", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 3706, \"c\": 33, \"e\": 95425, \"x\": 133}", "seed": "12434802255894831995", "semantic_fingerprint": "sha256:a8ddbb54e7d3d1cec80b6c15fe76dc2b6b393189df14a6d5addb0fb1252bb25e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006931", "prompt": "What is 2170 - (8638 + 8464) / (-1772) + (-6433) * (-8722)?", "solution_steps": ["Add: 8638 + 8464 = 17102", "Divide: 17102 / (-1772) = -8551/886", "Subtract: 2170 - (-8551/886) = 1931171/886", "Multiply: -6433 * (-8722) = 56108626", "Add: 1931171/886 + 56108626 = 49714173807/886"], "final_answer": "49714173807/886", "answer_type": "rational", "kind": "expression", "math_text": "2170 - (8638 + 8464) / (-1772) + (-6433) * (-8722)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2170, \"b\": 8638, \"c\": 8464, \"d\": -1772, \"e\": -6433, \"f\": -8722}", "seed": "13726468182440338963", "semantic_fingerprint": "sha256:4ea942ac207deeba5dc4c9770ac6beb6e04ff9046ed8d693cce30a2eed78e5ec", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006932", "prompt": "Evaluate: (-8527 + (-55150)) * 90504", "solution_steps": ["Add: -8527 + (-55150) = -63677", "Multiply: -63677 * 90504 = -5763023208"], "final_answer": "-5763023208", "answer_type": "integer", "kind": "expression", "math_text": "(-8527 + (-55150)) * 90504", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8527, \"b\": -55150, \"c\": 90504}", "seed": "9722218455691057692", "semantic_fingerprint": "sha256:ad604f4311a1cae373ffe1481df24f0799861d2f68e09e0fb98f13fbb3208d34", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006933", "prompt": "Calculate: 69913 / (-32590) + 49078", "solution_steps": ["Divide: 69913 / (-32590) = -69913/32590", "Add: -69913/32590 + 49078 = 1599382107/32590"], "final_answer": "1599382107/32590", "answer_type": "rational", "kind": "expression", "math_text": "69913 / (-32590) + 49078", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69913, \"b\": -32590, \"c\": 49078}", "seed": "6969154146282794890", "semantic_fingerprint": "sha256:865f2d6ab87ced9a3445838e778fa35d0e5d10c66ec93ad1786ffb3d24b63ca3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006934", "prompt": "Evaluate: (-3605 - (-75190)) * 90480 - (-5694 - (2575 + 6069))", "solution_steps": ["Subtract: -3605 - (-75190) = 71585", "Multiply: 71585 * 90480 = 6477010800", "Add: 2575 + 6069 = 8644", "Subtract: -5694 - 8644 = -14338", "Subtract: 6477010800 - (-14338) = 6477025138"], "final_answer": "6477025138", "answer_type": "integer", "kind": "expression", "math_text": "(-3605 - (-75190)) * 90480 - (-5694 - (2575 + 6069))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3605, \"b\": -75190, \"c\": 90480, \"d\": -5694, \"e\": 2575, \"f\": 6069}", "seed": "12653228326501917251", "semantic_fingerprint": "sha256:b0347ed00b0eb78c6ce0c9205ff2f54fec97caa2d85f4fd1f721f487d84200d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006935", "prompt": "Find x: 38(x - 4751) - 5321 = 24(x + 83346) + 5079", "solution_steps": ["Expand: 38x - 180538 - 5321 = 24(x + 83346) + 5079", "Expand: 38x - 180538 - 5321 = 24x + 2000304 + 5079", "Combine constants: 38x - 185859 = 24x + 2000304 + 5079", "Combine constants: 38x - 185859 = 24x + 2005383", "Subtract 24x from both sides: 14x - 185859 = 2005383", "Add 185859 to both sides: 14x = 2191242", "Divide both sides by 14: x = 1095621/7"], "final_answer": "1095621/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 4751) - 5321 = 24(x + 83346) + 5079", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 4751, \"c\": 5321, \"d\": 24, \"e\": 83346, \"f\": 5079}", "seed": "7984658746139449508", "semantic_fingerprint": "sha256:4b323ee619a8b8b98688bc854790e213fbbf63a91178528427cdab656a4afbfd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006936", "prompt": "Evaluate: 5741 * (-3247) + 41034", "solution_steps": ["Multiply: 5741 * (-3247) = -18641027", "Add: -18641027 + 41034 = -18599993"], "final_answer": "-18599993", "answer_type": "integer", "kind": "expression", "math_text": "5741 * (-3247) + 41034", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5741, \"b\": -3247, \"c\": 41034}", "seed": "1314898414474840574", "semantic_fingerprint": "sha256:d95631e2744fceca8743df3b94e9fbd521e9a03c19a97b51c80d9f9a506c7359", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006937", "prompt": "What is -2162 - (-4646) * (3991 / (-2249)) * (-95046 + 8009)?", "solution_steps": ["Divide: 3991 / (-2249) = -307/173", "Multiply: -4646 * (-307/173) = 1426322/173", "Add: -95046 + 8009 = -87037", "Multiply: (1426322/173) * (-87037) = -124142787914/173", "Subtract: -2162 - (-124142787914/173) = 124142413888/173"], "final_answer": "124142413888/173", "answer_type": "rational", "kind": "expression", "math_text": "-2162 - (-4646) * (3991 / (-2249)) * (-95046 + 8009)", "variable": null, "family": "expression_5op", "shape": "(- n (* (* n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2162, \"b\": -4646, \"c\": 3991, \"d\": -2249, \"e\": -95046, \"f\": 8009}", "seed": "8056097922164121220", "semantic_fingerprint": "sha256:022e431b4cd8904ba0e0f603d44ff9c21af0a3fd40f5d2902f1b1e3cd7fe42b3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006938", "prompt": "Evaluate: 46889 / (4817 + 54224)", "solution_steps": ["Add: 4817 + 54224 = 59041", "Divide: 46889 / 59041 = 46889/59041"], "final_answer": "46889/59041", "answer_type": "rational", "kind": "expression", "math_text": "46889 / (4817 + 54224)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46889, \"b\": 4817, \"c\": 54224}", "seed": "17302138636847122883", "semantic_fingerprint": "sha256:65881529af4be739133cc4141bf50bbefd872a7fecde475c2ccf4a6b9860e6d0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006939", "prompt": "Calculate: -4108 * 1851 - 5069 - (-5588)", "solution_steps": ["Multiply: -4108 * 1851 = -7603908", "Subtract: -7603908 - 5069 = -7608977", "Subtract: -7608977 - (-5588) = -7603389"], "final_answer": "-7603389", "answer_type": "integer", "kind": "expression", "math_text": "-4108 * 1851 - 5069 - (-5588)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4108, \"b\": 1851, \"c\": 5069, \"d\": -5588}", "seed": "398980411326302773", "semantic_fingerprint": "sha256:ca37d16f636c3562e4675d88c04bdd5cbc742e25ae7cb471b2537316339efad6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006940", "prompt": "Evaluate: 9211 + 9318 / 80424", "solution_steps": ["Divide: 9318 / 80424 = 1553/13404", "Add: 9211 + 1553/13404 = 123465797/13404"], "final_answer": "123465797/13404", "answer_type": "rational", "kind": "expression", "math_text": "9211 + 9318 / 80424", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9211, \"b\": 9318, \"c\": 80424}", "seed": "9158129717861161789", "semantic_fingerprint": "sha256:49db59c1d83e04ba700cfb521d2d520bb747cc4160ab4db4b1db167e9a16f300", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006941", "prompt": "Evaluate: (3999 + (-3201)) * 3970", "solution_steps": ["Add: 3999 + (-3201) = 798", "Multiply: 798 * 3970 = 3168060"], "final_answer": "3168060", "answer_type": "integer", "kind": "expression", "math_text": "(3999 + (-3201)) * 3970", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3999, \"b\": -3201, \"c\": 3970}", "seed": "6385901054411474186", "semantic_fingerprint": "sha256:49758359649ff41268d7f068caf0b23510c8144339d45d185863d539320cda8b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006942", "prompt": "Compute: -9036 * (-9292)", "solution_steps": ["Multiply: -9036 * (-9292) = 83962512"], "final_answer": "83962512", "answer_type": "integer", "kind": "expression", "math_text": "-9036 * (-9292)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9036, \"b\": -9292}", "seed": "12324720110969590067", "semantic_fingerprint": "sha256:7bfcaea241acc5cd1441fd71ad00bde4c4834b61845754d24203a59c9028df7a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006943", "prompt": "What value of x satisfies x + 96577 = 96627?", "solution_steps": ["Subtract 96577 from both sides: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 96577 = 96627", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96577, \"c\": 96627, \"x\": 50}", "seed": "6365086231172319949", "semantic_fingerprint": "sha256:ad895aaaa5447c5b949c458e98e4bbd0633828fb7ecc9ce0cb175c1dd7c734a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006944", "prompt": "Solve for x: -18x - 6005 = 31x + 60874", "solution_steps": ["Subtract 31x from both sides: -49x - 6005 = 60874", "Add 6005 to both sides: -49x = 66879", "Divide both sides by -49: x = -66879/49"], "final_answer": "-66879/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x - 6005 = 31x + 60874", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 6005, \"c\": 31, \"d\": 60874}", "seed": "8894593425198891556", "semantic_fingerprint": "sha256:43a5e9d12d76ee6b021c8946af5f347974b059b69645c092962c538fbfc15b39", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006945", "prompt": "Calculate: 10699 - 70758 - (-75189 - (-47664)) * (-2045)", "solution_steps": ["Subtract: 10699 - 70758 = -60059", "Subtract: -75189 - (-47664) = -27525", "Multiply: -27525 * (-2045) = 56288625", "Subtract: -60059 - 56288625 = -56348684"], "final_answer": "-56348684", "answer_type": "integer", "kind": "expression", "math_text": "10699 - 70758 - (-75189 - (-47664)) * (-2045)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 10699, \"b\": 70758, \"c\": -75189, \"d\": -47664, \"e\": -2045}", "seed": "7418284517038518583", "semantic_fingerprint": "sha256:b03297a6aa2043de0125d4fcf38ef20ac7cc39b6d320183908ece15fe7509444", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006946", "prompt": "Find x: -25(x - 69125) - 5613 = 21(x + 4239) + 1244", "solution_steps": ["Expand: -25x + 1728125 - 5613 = 21(x + 4239) + 1244", "Expand: -25x + 1728125 - 5613 = 21x + 89019 + 1244", "Combine constants: -25x + 1722512 = 21x + 89019 + 1244", "Combine constants: -25x + 1722512 = 21x + 90263", "Subtract 21x from both sides: -46x + 1722512 = 90263", "Subtract 1722512 from both sides: -46x = -1632249", "Divide both sides by -46: x = 1632249/46"], "final_answer": "1632249/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 69125) - 5613 = 21(x + 4239) + 1244", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 69125, \"c\": 5613, \"d\": 21, \"e\": 4239, \"f\": 1244}", "seed": "16224538550163726301", "semantic_fingerprint": "sha256:ab3eb3c3fcfb23fb9a8fc932af79f5390bf35cfd025c2b3250b63f457ea3ebc7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006947", "prompt": "Evaluate: 9621 - (-7992) + (-9660)", "solution_steps": ["Subtract: 9621 - (-7992) = 17613", "Add: 17613 + (-9660) = 7953"], "final_answer": "7953", "answer_type": "integer", "kind": "expression", "math_text": "9621 - (-7992) + (-9660)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9621, \"b\": -7992, \"c\": -9660}", "seed": "12061646194446489537", "semantic_fingerprint": "sha256:4ff87de5d8a3128f0e73512f462388907b5f8e9a8f19626ce6824ca7cbee96f6", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006948", "prompt": "Evaluate: 70681 - 4754", "solution_steps": ["Subtract: 70681 - 4754 = 65927"], "final_answer": "65927", "answer_type": "integer", "kind": "expression", "math_text": "70681 - 4754", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 70681, \"b\": 4754}", "seed": "4770941261983885285", "semantic_fingerprint": "sha256:cb7c8d3c7b21b27a57d908c8a3e063064f2f944621ba56e1dbe7037773e672ef", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006949", "prompt": "Calculate: (3624 - (-4408)) / (82570 + (-85658))", "solution_steps": ["Subtract: 3624 - (-4408) = 8032", "Add: 82570 + (-85658) = -3088", "Divide: 8032 / (-3088) = -502/193"], "final_answer": "-502/193", "answer_type": "rational", "kind": "expression", "math_text": "(3624 - (-4408)) / (82570 + (-85658))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3624, \"b\": -4408, \"c\": 82570, \"d\": -85658}", "seed": "6101737176899795558", "semantic_fingerprint": "sha256:67bd365a7e5ebd6a8bd902a910e075df266d2534a7a659f4e19087a2ceb3eabd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006950", "prompt": "Compute: -79632 * (7141 / 5060)", "solution_steps": ["Divide: 7141 / 5060 = 7141/5060", "Multiply: -79632 * (7141/5060) = -142163028/1265"], "final_answer": "-142163028/1265", "answer_type": "rational", "kind": "expression", "math_text": "-79632 * (7141 / 5060)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79632, \"b\": 7141, \"c\": 5060}", "seed": "18175493789344491031", "semantic_fingerprint": "sha256:36f235670390b1629a133b414ca6b0d4ac161f59b4f79e6282ce6c851bef23be", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006951", "prompt": "What is 37040 / (6768 / (-5518 + 6815))?", "solution_steps": ["Add: -5518 + 6815 = 1297", "Divide: 6768 / 1297 = 6768/1297", "Divide: 37040 / (6768/1297) = 3002555/423"], "final_answer": "3002555/423", "answer_type": "rational", "kind": "expression", "math_text": "37040 / (6768 / (-5518 + 6815))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37040, \"b\": 6768, \"c\": -5518, \"d\": 6815}", "seed": "17602840372025926666", "semantic_fingerprint": "sha256:0fb6cab661bf292fc16904808cee88bc705fc2c825cc33af2eebf8a78437c0e5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006952", "prompt": "Compute: 36581 + 4519 + (32123 + 1454) / (-9195)", "solution_steps": ["Add: 36581 + 4519 = 41100", "Add: 32123 + 1454 = 33577", "Divide: 33577 / (-9195) = -33577/9195", "Add: 41100 + (-33577/9195) = 377880923/9195"], "final_answer": "377880923/9195", "answer_type": "rational", "kind": "expression", "math_text": "36581 + 4519 + (32123 + 1454) / (-9195)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36581, \"b\": 4519, \"c\": 32123, \"d\": 1454, \"e\": -9195}", "seed": "4248530262160568633", "semantic_fingerprint": "sha256:73318a6803c428f2121128508b8522ee3d59f49ddaa8ee1fcc13568068e79652", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006953", "prompt": "What is -70289 * (59858 - (-7211)) - 49286 * 2066 - (-3993)?", "solution_steps": ["Subtract: 59858 - (-7211) = 67069", "Multiply: -70289 * 67069 = -4714212941", "Multiply: 49286 * 2066 = 101824876", "Subtract: -4714212941 - 101824876 = -4816037817", "Subtract: -4816037817 - (-3993) = -4816033824"], "final_answer": "-4816033824", "answer_type": "integer", "kind": "expression", "math_text": "-70289 * (59858 - (-7211)) - 49286 * 2066 - (-3993)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n (- n n)) (* n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -70289, \"b\": 59858, \"c\": -7211, \"d\": 49286, \"e\": 2066, \"f\": -3993}", "seed": "164650858771735467", "semantic_fingerprint": "sha256:6d3b60f776536a347061e326d7e1dab418330e9bd4d373629a6ee2488a5d0bb8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006954", "prompt": "Compute: -27750 * 40195", "solution_steps": ["Multiply: -27750 * 40195 = -1115411250"], "final_answer": "-1115411250", "answer_type": "integer", "kind": "expression", "math_text": "-27750 * 40195", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -27750, \"b\": 40195}", "seed": "13609177472658824594", "semantic_fingerprint": "sha256:52d05a2117b0c6c8650d6edb4cef0fb3cdddbf44d9dd3c1d545afc15a29a6646", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006955", "prompt": "Solve for x: -17(x + 7478) + 9879 = 27(x + 8094) + 43500", "solution_steps": ["Expand: -17x - 127126 + 9879 = 27(x + 8094) + 43500", "Expand: -17x - 127126 + 9879 = 27x + 218538 + 43500", "Combine constants: -17x - 117247 = 27x + 218538 + 43500", "Combine constants: -17x - 117247 = 27x + 262038", "Subtract 27x from both sides: -44x - 117247 = 262038", "Add 117247 to both sides: -44x = 379285", "Divide both sides by -44: x = -379285/44"], "final_answer": "-379285/44", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 7478) + 9879 = 27(x + 8094) + 43500", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 7478, \"c\": 9879, \"d\": 27, \"e\": 8094, \"f\": 43500}", "seed": "3877455291197211470", "semantic_fingerprint": "sha256:85f4e7a8c36297a8bc9d5beaacbb08073d684f226930a37f5cd73873fb9ec80d", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006956", "prompt": "Calculate: 93822 + 22533 / (-4398) - (-7457)", "solution_steps": ["Divide: 22533 / (-4398) = -7511/1466", "Add: 93822 + (-7511/1466) = 137535541/1466", "Subtract: 137535541/1466 - (-7457) = 148467503/1466"], "final_answer": "148467503/1466", "answer_type": "rational", "kind": "expression", "math_text": "93822 + 22533 / (-4398) - (-7457)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93822, \"b\": 22533, \"c\": -4398, \"d\": -7457}", "seed": "15199080186079292965", "semantic_fingerprint": "sha256:6581878d6a1cb85e726b2ffdab4bff3802d3cc080b4364475ebbdda4efc39d6a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006957", "prompt": "Compute: (-46799 - 1467) / (-16578 - (-2408))", "solution_steps": ["Subtract: -46799 - 1467 = -48266", "Subtract: -16578 - (-2408) = -14170", "Divide: -48266 / (-14170) = 24133/7085"], "final_answer": "24133/7085", "answer_type": "rational", "kind": "expression", "math_text": "(-46799 - 1467) / (-16578 - (-2408))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -46799, \"b\": 1467, \"c\": -16578, \"d\": -2408}", "seed": "15357017505618146880", "semantic_fingerprint": "sha256:00aafe270cc688cfe348a6b3b5eecca50920df17a8e3bc343d7bc997a795058b", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006958", "prompt": "Evaluate: -6270 * (-1105)", "solution_steps": ["Multiply: -6270 * (-1105) = 6928350"], "final_answer": "6928350", "answer_type": "integer", "kind": "expression", "math_text": "-6270 * (-1105)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6270, \"b\": -1105}", "seed": "6224525775657016558", "semantic_fingerprint": "sha256:4cc13e5298a31e5b9ad1d7dfe6dde56216197ef31d3a11768ae6185051874af8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006959", "prompt": "Find x: 17x + 6755 = x + 7139", "solution_steps": ["Subtract x from both sides: 16x + 6755 = 7139", "Subtract 6755 from both sides: 16x = 384", "Divide both sides by 16: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 6755 = x + 7139", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 6755, \"d\": 7139, \"x\": 24}", "seed": "15447365423781821201", "semantic_fingerprint": "sha256:fe0cdf9d348d8f32f99c8dabd98a8fa98e2c645484851c89a11189f98aa0ea48", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006960", "prompt": "Evaluate: 9225 * (-9923)", "solution_steps": ["Multiply: 9225 * (-9923) = -91539675"], "final_answer": "-91539675", "answer_type": "integer", "kind": "expression", "math_text": "9225 * (-9923)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9225, \"b\": -9923}", "seed": "2734071649304653205", "semantic_fingerprint": "sha256:8993b17c975c59eab3b0a0cc11d139c1f5febf38791836e763398c305c37f6bb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006961", "prompt": "Evaluate: (3210 + 12167) * 76032", "solution_steps": ["Add: 3210 + 12167 = 15377", "Multiply: 15377 * 76032 = 1169144064"], "final_answer": "1169144064", "answer_type": "integer", "kind": "expression", "math_text": "(3210 + 12167) * 76032", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3210, \"b\": 12167, \"c\": 76032}", "seed": "9601765134914915553", "semantic_fingerprint": "sha256:ff3421b2e9a853c16c7e64bc160c558982498fd2a165d180bb187a2a074d0bae", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006962", "prompt": "Calculate: 51098 + (-5822 + (-71873) - 4906 + 34389)", "solution_steps": ["Add: -5822 + (-71873) = -77695", "Subtract: -77695 - 4906 = -82601", "Add: -82601 + 34389 = -48212", "Add: 51098 + (-48212) = 2886"], "final_answer": "2886", "answer_type": "integer", "kind": "expression", "math_text": "51098 + (-5822 + (-71873) - 4906 + 34389)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51098, \"b\": -5822, \"c\": -71873, \"d\": 4906, \"e\": 34389}", "seed": "2060064552816031546", "semantic_fingerprint": "sha256:a250e5219332e6c345e334319b25eebb71a60246c21ba435470a1d8918049c74", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006963", "prompt": "Solve for x: x - 52984 = 16x - 50134", "solution_steps": ["Subtract 16x from both sides: -15x - 52984 = -50134", "Add 52984 to both sides: -15x = 2850", "Divide both sides by -15: x = -190"], "final_answer": "-190", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 52984 = 16x - 50134", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52984, \"b\": 16, \"d\": -50134, \"x\": -190}", "seed": "4538655352549796823", "semantic_fingerprint": "sha256:b80ba0a2bcd7504edfd6bc9a78406030b64349174ac10730cbddaa9ff96d3633", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006964", "prompt": "What value of x satisfies 25x - 6994 = x - 1606?", "solution_steps": ["Subtract x from both sides: 24x - 6994 = -1606", "Add 6994 to both sides: 24x = 5388", "Divide both sides by 24: x = 449/2"], "final_answer": "449/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 6994 = x - 1606", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 6994, \"c\": 1606}", "seed": "16593732877116863236", "semantic_fingerprint": "sha256:243d11be9163b92746a052c00bbf546e147030031341e69424afcac618dd55e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006965", "prompt": "Calculate: (-8662 - (-80719)) * (-8363)", "solution_steps": ["Subtract: -8662 - (-80719) = 72057", "Multiply: 72057 * (-8363) = -602612691"], "final_answer": "-602612691", "answer_type": "integer", "kind": "expression", "math_text": "(-8662 - (-80719)) * (-8363)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8662, \"b\": -80719, \"c\": -8363}", "seed": "9811430770485119416", "semantic_fingerprint": "sha256:8b66beb2d7939bf8709c53ed23bf7bd020dbba2ecd7ca7184a0c1caa0fe893c5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006966", "prompt": "Calculate: -1651 / (-92137)", "solution_steps": ["Divide: -1651 / (-92137) = 1651/92137"], "final_answer": "1651/92137", "answer_type": "rational", "kind": "expression", "math_text": "-1651 / (-92137)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1651, \"b\": -92137}", "seed": "12654367008428666472", "semantic_fingerprint": "sha256:3e7ba063dd09b78a423d54595ed6a9214b55ca25478a066e83b92e249f4fdfcb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006967", "prompt": "Evaluate: (-98501 + 3310 + (1336 - 1207)) / (-1142)", "solution_steps": ["Add: -98501 + 3310 = -95191", "Subtract: 1336 - 1207 = 129", "Add: -95191 + 129 = -95062", "Divide: -95062 / (-1142) = 47531/571"], "final_answer": "47531/571", "answer_type": "rational", "kind": "expression", "math_text": "(-98501 + 3310 + (1336 - 1207)) / (-1142)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -98501, \"b\": 3310, \"c\": 1336, \"d\": 1207, \"e\": -1142}", "seed": "3015167948210153772", "semantic_fingerprint": "sha256:68d70c4bd75b208121256951b4d2d2004ab09b671c0ba7e81243c94f0de826b5", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006968", "prompt": "What value of x satisfies x = -37(x + 1342)?", "solution_steps": ["Expand: x = -37x - 49654", "Add 37x to both sides: 38x = -49654", "Divide both sides by 38: x = -24827/19"], "final_answer": "-24827/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -37(x + 1342)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1342}", "seed": "15992681275934825417", "semantic_fingerprint": "sha256:67ea10f7f0edc8242d34e560d81c1625606397fb1c57a032bf561c9e3a7a88c1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006969", "prompt": "Calculate: 34158 + (-27193) / 3885", "solution_steps": ["Divide: -27193 / 3885 = -27193/3885", "Add: 34158 + (-27193/3885) = 132676637/3885"], "final_answer": "132676637/3885", "answer_type": "rational", "kind": "expression", "math_text": "34158 + (-27193) / 3885", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34158, \"b\": -27193, \"c\": 3885}", "seed": "12819212047970730521", "semantic_fingerprint": "sha256:6707d426b27feef38a9b756b5d67525445f0615675e7159ed71588c2af0e31e7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006970", "prompt": "What value of x satisfies -18(x + 2051) + 9116 = -14(x + 6451) + 61784?", "solution_steps": ["Expand: -18x - 36918 + 9116 = -14(x + 6451) + 61784", "Expand: -18x - 36918 + 9116 = -14x - 90314 + 61784", "Combine constants: -18x - 27802 = -14x - 90314 + 61784", "Combine constants: -18x - 27802 = -14x - 28530", "Add 14x to both sides: -4x - 27802 = -28530", "Add 27802 to both sides: -4x = -728", "Divide both sides by -4: x = 182"], "final_answer": "182", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x + 2051) + 9116 = -14(x + 6451) + 61784", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 2051, \"c\": 9116, \"d\": -14, \"e\": 6451, \"g\": 61784, \"x\": 182}", "seed": "12181375330884741956", "semantic_fingerprint": "sha256:37c0abb56f1e5b75c581ea9d0c12b7451cf123255fa79e7f4a9b0b9a542dabdf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006971", "prompt": "Compute: 9940 / (-2007 + (4866 - (7197 - (-54558))))", "solution_steps": ["Subtract: 7197 - (-54558) = 61755", "Subtract: 4866 - 61755 = -56889", "Add: -2007 + (-56889) = -58896", "Divide: 9940 / (-58896) = -2485/14724"], "final_answer": "-2485/14724", "answer_type": "rational", "kind": "expression", "math_text": "9940 / (-2007 + (4866 - (7197 - (-54558))))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9940, \"b\": -2007, \"c\": 4866, \"d\": 7197, \"e\": -54558}", "seed": "8705032240875740749", "semantic_fingerprint": "sha256:b51d8dd06a64a67c7b2e6080f18904567cee6a6afbe34170aac48a0944482a94", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006972", "prompt": "Solve the equation 34x - 58062 = 14(x - 3105) - 18172 for x.", "solution_steps": ["Expand: 34x - 58062 = 14x - 43470 - 18172", "Combine constants: 34x - 58062 = 14x - 61642", "Subtract 14x from both sides: 20x - 58062 = -61642", "Add 58062 to both sides: 20x = -3580", "Divide both sides by 20: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 58062 = 14(x - 3105) - 18172", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 58062, \"c\": 14, \"d\": 3105, \"f\": -18172, \"x\": -179}", "seed": "12788314136632391925", "semantic_fingerprint": "sha256:4b7c7701a3f42ea633adffea263fcd975a87ec7c51a0bac28003c9d406fbf517", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006973", "prompt": "Compute: -62240 / (-9159) * (2145 - 7829)", "solution_steps": ["Divide: -62240 / (-9159) = 62240/9159", "Subtract: 2145 - 7829 = -5684", "Multiply: (62240/9159) * (-5684) = -353772160/9159"], "final_answer": "-353772160/9159", "answer_type": "rational", "kind": "expression", "math_text": "-62240 / (-9159) * (2145 - 7829)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62240, \"b\": -9159, \"c\": 2145, \"d\": 7829}", "seed": "6097533028368714890", "semantic_fingerprint": "sha256:44806781936b6ecc0764041fb9a23fb50f628fa15a38ad45f262ef78b12c2b2a", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006974", "prompt": "Calculate: (7333 + 9280 + (-57096)) * (2429 + 2010)", "solution_steps": ["Add: 7333 + 9280 = 16613", "Add: 16613 + (-57096) = -40483", "Add: 2429 + 2010 = 4439", "Multiply: -40483 * 4439 = -179704037"], "final_answer": "-179704037", "answer_type": "integer", "kind": "expression", "math_text": "(7333 + 9280 + (-57096)) * (2429 + 2010)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7333, \"b\": 9280, \"c\": -57096, \"d\": 2429, \"e\": 2010}", "seed": "9897631493763819621", "semantic_fingerprint": "sha256:798c1def546356d59fd434bfc57fc67eccae23405c00bb713212f8d585f23074", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006975", "prompt": "What value of x satisfies 16(x - 61121) = 26(x + 21901) + 8352?", "solution_steps": ["Expand: 16x - 977936 = 26(x + 21901) + 8352", "Expand: 16x - 977936 = 26x + 569426 + 8352", "Combine constants: 16x - 977936 = 26x + 577778", "Subtract 26x from both sides: -10x - 977936 = 577778", "Add 977936 to both sides: -10x = 1555714", "Divide both sides by -10: x = -777857/5"], "final_answer": "-777857/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 61121) = 26(x + 21901) + 8352", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 61121, \"c\": 26, \"d\": 21901, \"e\": 8352}", "seed": "1231115776316297652", "semantic_fingerprint": "sha256:5032f68946c6d3cf742780ffcf83f6cb94489a7416b72f65616b4a53eb1a24dc", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006976", "prompt": "Solve for x: x + 1535 = -33(x + 2717) + 89564", "solution_steps": ["Expand: x + 1535 = -33x - 89661 + 89564", "Combine constants: x + 1535 = -33x - 97", "Add 33x to both sides: 34x + 1535 = -97", "Subtract 1535 from both sides: 34x = -1632", "Divide both sides by 34: x = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1535 = -33(x + 2717) + 89564", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1535, \"b\": -33, \"c\": 2717, \"e\": 89564, \"x\": -48}", "seed": "16972182231698232045", "semantic_fingerprint": "sha256:c55c59bee5686a2090d26d6163ed25ce34b12c740134362be4acd229a65bf676", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006977", "prompt": "Find x: x = 37x - 9161", "solution_steps": ["Subtract 37x from both sides: -36x = -9161", "Divide both sides by -36: x = 9161/36"], "final_answer": "9161/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37x - 9161", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 9161}", "seed": "12697413724181757719", "semantic_fingerprint": "sha256:90c5dc7340ec976f525c17ee8ce5c910008faca967ef7d2fb6923db7ba27b4cf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006978", "prompt": "Find x: 14(x - 73154) - 34378 = 30(x + 54435) - 6264", "solution_steps": ["Expand: 14x - 1024156 - 34378 = 30(x + 54435) - 6264", "Expand: 14x - 1024156 - 34378 = 30x + 1633050 - 6264", "Combine constants: 14x - 1058534 = 30x + 1633050 - 6264", "Combine constants: 14x - 1058534 = 30x + 1626786", "Subtract 30x from both sides: -16x - 1058534 = 1626786", "Add 1058534 to both sides: -16x = 2685320", "Divide both sides by -16: x = -335665/2"], "final_answer": "-335665/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 73154) - 34378 = 30(x + 54435) - 6264", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 73154, \"c\": 34378, \"d\": 30, \"e\": 54435, \"f\": 6264}", "seed": "5667062744455068211", "semantic_fingerprint": "sha256:c4b8149c0cc0b6b1db4f7d651e51404cc0a637634c6c75bbe6960e0958e25aa3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006979", "prompt": "Compute: -1414 / (-84137)", "solution_steps": ["Divide: -1414 / (-84137) = 1414/84137"], "final_answer": "1414/84137", "answer_type": "rational", "kind": "expression", "math_text": "-1414 / (-84137)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1414, \"b\": -84137}", "seed": "14394329862277928549", "semantic_fingerprint": "sha256:113b2df5dc7e43a58062df36a5da286546e64391a20fbc40633ec029296f980f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006980", "prompt": "Evaluate: 1723 * 70766 * (-5626 + 2355)", "solution_steps": ["Multiply: 1723 * 70766 = 121929818", "Add: -5626 + 2355 = -3271", "Multiply: 121929818 * (-3271) = -398832434678"], "final_answer": "-398832434678", "answer_type": "integer", "kind": "expression", "math_text": "1723 * 70766 * (-5626 + 2355)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1723, \"b\": 70766, \"c\": -5626, \"d\": 2355}", "seed": "17820998617124641555", "semantic_fingerprint": "sha256:35de45c56bfdb28aecf70ed08950a856f65880e3a802170bd3edb8716bf4935e", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006981", "prompt": "Evaluate: -9219 * 2548 / (-88294)", "solution_steps": ["Multiply: -9219 * 2548 = -23490012", "Divide: -23490012 / (-88294) = 11745006/44147"], "final_answer": "11745006/44147", "answer_type": "rational", "kind": "expression", "math_text": "-9219 * 2548 / (-88294)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9219, \"b\": 2548, \"c\": -88294}", "seed": "1040243157376016488", "semantic_fingerprint": "sha256:6997451326eed8dc7db7bc59fc8903a845fc4a8ac7bfe8e51793ed4f044ee18f", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006982", "prompt": "Solve the equation 22x + 58340 = -38961 for x.", "solution_steps": ["Subtract 58340 from both sides: 22x = -97301", "Divide both sides by 22: x = -97301/22"], "final_answer": "-97301/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x + 58340 = -38961", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 58340, \"c\": -38961}", "seed": "8881857464066218693", "semantic_fingerprint": "sha256:1e546fb75006f9eca96f891913cf793ea2639c183fd464bb1984935a7ed576e1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006983", "prompt": "Evaluate: 7583 - (-12140)", "solution_steps": ["Subtract: 7583 - (-12140) = 19723"], "final_answer": "19723", "answer_type": "integer", "kind": "expression", "math_text": "7583 - (-12140)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7583, \"b\": -12140}", "seed": "11530376906585880405", "semantic_fingerprint": "sha256:149994ecdcce94b296ef64fc121b8e7ae7d8b8a9e36c930f64caa2e4faf28fe0", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006984", "prompt": "Compute: (-1101 - (-4069)) * (-3527) * (-7503 - (-87842))", "solution_steps": ["Subtract: -1101 - (-4069) = 2968", "Multiply: 2968 * (-3527) = -10468136", "Subtract: -7503 - (-87842) = 80339", "Multiply: -10468136 * 80339 = -840999578104"], "final_answer": "-840999578104", "answer_type": "integer", "kind": "expression", "math_text": "(-1101 - (-4069)) * (-3527) * (-7503 - (-87842))", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1101, \"b\": -4069, \"c\": -3527, \"d\": -7503, \"e\": -87842}", "seed": "14187565890784692582", "semantic_fingerprint": "sha256:67ea7728c1df3016288933fb6b4c6ac659ecf75ac901366d4a52328cda459f50", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006985", "prompt": "Calculate: 27844 / (69148 - (-4824 - (-5114))) + 8204", "solution_steps": ["Subtract: -4824 - (-5114) = 290", "Subtract: 69148 - 290 = 68858", "Divide: 27844 / 68858 = 13922/34429", "Add: 13922/34429 + 8204 = 282469438/34429"], "final_answer": "282469438/34429", "answer_type": "rational", "kind": "expression", "math_text": "27844 / (69148 - (-4824 - (-5114))) + 8204", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27844, \"b\": 69148, \"c\": -4824, \"d\": -5114, \"e\": 8204}", "seed": "4522629867100941929", "semantic_fingerprint": "sha256:63217c31ec2a82df4e9a11b6b3984e711e417c7113dcaa94697768b28b5ba8a8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006986", "prompt": "Compute: 79162 - (-1138)", "solution_steps": ["Subtract: 79162 - (-1138) = 80300"], "final_answer": "80300", "answer_type": "integer", "kind": "expression", "math_text": "79162 - (-1138)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 79162, \"b\": -1138}", "seed": "6212548454764083400", "semantic_fingerprint": "sha256:a28293a987dbef1c86273bda0eba33e8226d076810d3b680c9adb81332e845c7", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006987", "prompt": "What value of x satisfies 36(x - 1498) + 7333 = -25x - 35737?", "solution_steps": ["Expand: 36x - 53928 + 7333 = -25x - 35737", "Combine constants: 36x - 46595 = -25x - 35737", "Add 25x to both sides: 61x - 46595 = -35737", "Add 46595 to both sides: 61x = 10858", "Divide both sides by 61: x = 178"], "final_answer": "178", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x - 1498) + 7333 = -25x - 35737", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1498, \"c\": 7333, \"d\": -25, \"f\": -35737, \"x\": 178}", "seed": "713568650466857417", "semantic_fingerprint": "sha256:326ad5e652261f0498761169d5eeaef34f7a91d5f470dac60a062dfd35c1fd71", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006988", "prompt": "Calculate: -5790 + 5845 * (46556 / 85237)", "solution_steps": ["Divide: 46556 / 85237 = 46556/85237", "Multiply: 5845 * (46556/85237) = 272119820/85237", "Add: -5790 + 272119820/85237 = -221402410/85237"], "final_answer": "-221402410/85237", "answer_type": "rational", "kind": "expression", "math_text": "-5790 + 5845 * (46556 / 85237)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5790, \"b\": 5845, \"c\": 46556, \"d\": 85237}", "seed": "13061421452578113232", "semantic_fingerprint": "sha256:305882e7bdd18872f754a06460cc9a39b447a7258f5172eda84408edfd0181e3", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006989", "prompt": "Compute: 1451 / (-53506 - (-99301) - (97636 + (-7199)))", "solution_steps": ["Subtract: -53506 - (-99301) = 45795", "Add: 97636 + (-7199) = 90437", "Subtract: 45795 - 90437 = -44642", "Divide: 1451 / (-44642) = -1451/44642"], "final_answer": "-1451/44642", "answer_type": "rational", "kind": "expression", "math_text": "1451 / (-53506 - (-99301) - (97636 + (-7199)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1451, \"b\": -53506, \"c\": -99301, \"d\": 97636, \"e\": -7199}", "seed": "9047598460178984088", "semantic_fingerprint": "sha256:eee10fa98230d43878ae0ea1d5b5836b4f4aa669a754e4ba8969c5584fbd16fd", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006990", "prompt": "Solve the equation x + 6781 = 32(x - 5509) for x.", "solution_steps": ["Expand: x + 6781 = 32x - 176288", "Subtract 32x from both sides: -31x + 6781 = -176288", "Subtract 6781 from both sides: -31x = -183069", "Divide both sides by -31: x = 183069/31"], "final_answer": "183069/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6781 = 32(x - 5509)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6781, \"b\": 32, \"c\": 5509}", "seed": "7994091604005503203", "semantic_fingerprint": "sha256:06591bbd105da8173eae80a0588eb6d0600ef39f85509fd3b77488cb5fa98bde", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006991", "prompt": "What is 8993 / 1817 * (-44289 * (-5590))?", "solution_steps": ["Divide: 8993 / 1817 = 391/79", "Multiply: -44289 * (-5590) = 247575510", "Multiply: (391/79) * 247575510 = 96802024410/79"], "final_answer": "96802024410/79", "answer_type": "rational", "kind": "expression", "math_text": "8993 / 1817 * (-44289 * (-5590))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8993, \"b\": 1817, \"c\": -44289, \"d\": -5590}", "seed": "1374180467854842446", "semantic_fingerprint": "sha256:1154277f641f8706c3a13ce2b047d7020d215143c8db0e1260c4d4a166d053e8", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006992", "prompt": "Compute: 29302 + (-66298) - 49773 - (-6374)", "solution_steps": ["Add: 29302 + (-66298) = -36996", "Subtract: -36996 - 49773 = -86769", "Subtract: -86769 - (-6374) = -80395"], "final_answer": "-80395", "answer_type": "integer", "kind": "expression", "math_text": "29302 + (-66298) - 49773 - (-6374)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29302, \"b\": -66298, \"c\": 49773, \"d\": -6374}", "seed": "178712415811249177", "semantic_fingerprint": "sha256:d7c875d270da57e8de22e9f3d1fdb383369009a79d974bfce9d66106295aaed1", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006993", "prompt": "Compute: 8621 * 4928 + (-2599)", "solution_steps": ["Multiply: 8621 * 4928 = 42484288", "Add: 42484288 + (-2599) = 42481689"], "final_answer": "42481689", "answer_type": "integer", "kind": "expression", "math_text": "8621 * 4928 + (-2599)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8621, \"b\": 4928, \"c\": -2599}", "seed": "231928833642313851", "semantic_fingerprint": "sha256:9409fc36df0a01f682db56785bb47892673c7d57940b6c8016d85965f3ca3d88", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006994", "prompt": "Solve the equation 33(x - 5049) = -35(x - 67088) - 9259 for x.", "solution_steps": ["Expand: 33x - 166617 = -35(x - 67088) - 9259", "Expand: 33x - 166617 = -35x + 2348080 - 9259", "Combine constants: 33x - 166617 = -35x + 2338821", "Add 35x to both sides: 68x - 166617 = 2338821", "Add 166617 to both sides: 68x = 2505438", "Divide both sides by 68: x = 1252719/34"], "final_answer": "1252719/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 5049) = -35(x - 67088) - 9259", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 5049, \"c\": -35, \"d\": 67088, \"e\": 9259}", "seed": "14959134959549132746", "semantic_fingerprint": "sha256:785fd6facf8b16d8f3192089309890b6e4947fbff40bcb1b1eaf521b4591dbca", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006995", "prompt": "Find x: 32x = x - 4433", "solution_steps": ["Subtract x from both sides: 31x = -4433", "Divide both sides by 31: x = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = x - 4433", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": -4433, \"x\": -143}", "seed": "16034487332328485966", "semantic_fingerprint": "sha256:ea7f20f77490abafbab1a74d306a57d8893e0730a71d5223bf4072a7064c3ddb", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006996", "prompt": "Evaluate: 6134 - (6743 - 2942) + 91663", "solution_steps": ["Subtract: 6743 - 2942 = 3801", "Subtract: 6134 - 3801 = 2333", "Add: 2333 + 91663 = 93996"], "final_answer": "93996", "answer_type": "integer", "kind": "expression", "math_text": "6134 - (6743 - 2942) + 91663", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6134, \"b\": 6743, \"c\": 2942, \"d\": 91663}", "seed": "18178828227532698227", "semantic_fingerprint": "sha256:07a2a4b996adcce07446e7471622d32ffe373aaf643b7f6aef4594c84d00d412", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006997", "prompt": "Calculate: -9321 / (-6069) + 8948", "solution_steps": ["Divide: -9321 / (-6069) = 3107/2023", "Add: 3107/2023 + 8948 = 18104911/2023"], "final_answer": "18104911/2023", "answer_type": "rational", "kind": "expression", "math_text": "-9321 / (-6069) + 8948", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9321, \"b\": -6069, \"c\": 8948}", "seed": "10544848036084596227", "semantic_fingerprint": "sha256:ebafb1916d8067f4b4479178ee5575aaba92ec8585c84b5cec49d44d7007e4bf", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006998", "prompt": "What is 47225 + 5730?", "solution_steps": ["Add: 47225 + 5730 = 52955"], "final_answer": "52955", "answer_type": "integer", "kind": "expression", "math_text": "47225 + 5730", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47225, \"b\": 5730}", "seed": "15511181841632932923", "semantic_fingerprint": "sha256:a4f33081ea233a24cb6225c0c000175931d9f82a607320d59f2628d4ff889d35", "generator_version": "3.0"}
{"id": "v4x_test_extrapolation_00006999", "prompt": "Evaluate: -7936 / (-9836 - (-47836)) - (-66411 - (1436 - (-81828)))", "solution_steps": ["Subtract: -9836 - (-47836) = 38000", "Divide: -7936 / 38000 = -496/2375", "Subtract: 1436 - (-81828) = 83264", "Subtract: -66411 - 83264 = -149675", "Subtract: -496/2375 - (-149675) = 355477629/2375"], "final_answer": "355477629/2375", "answer_type": "rational", "kind": "expression", "math_text": "-7936 / (-9836 - (-47836)) - (-66411 - (1436 - (-81828)))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- n n)) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7936, \"b\": -9836, \"c\": -47836, \"d\": -66411, \"e\": 1436, \"f\": -81828}", "seed": "14833692639885528651", "semantic_fingerprint": "sha256:cb5867048b119449d69297dea3a2f36d2196c1891083ef2b0b6c139fb8446f31", "generator_version": "3.0"}